%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN445-1 : 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 : n026.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 05:38:21 PM UTC 2026
% Result : Unsatisfiable 5.39s 4.24s
% Output : CNFRefutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 99
% Syntax : Number of formulae : 348 ( 6 unt; 0 def)
% Number of atoms : 1220 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1457 ( 585 ~; 846 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 48 ( 47 usr; 44 prp; 0-1 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 148 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause5,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause1,negated_conjecture,
( hskp26
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause15,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(clause129,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause51,negated_conjecture,
( c3_1(a336)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause92,negated_conjecture,
( ~ c0_1(a336)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause93,negated_conjecture,
( ~ c1_1(a336)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause47,negated_conjecture,
( c0_1(a349)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause81,negated_conjecture,
( ~ c2_1(a349)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause82,negated_conjecture,
( ~ c3_1(a349)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause65,negated_conjecture,
( c3_1(a310)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause106,negated_conjecture,
( ~ c2_1(a310)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause105,negated_conjecture,
( ~ c0_1(a310)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause59,negated_conjecture,
( c3_1(a321)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause58,negated_conjecture,
( c2_1(a321)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause100,negated_conjecture,
( ~ c1_1(a321)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause67,negated_conjecture,
( c3_1(a309)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause66,negated_conjecture,
( c1_1(a309)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause107,negated_conjecture,
( ~ c2_1(a309)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause36,negated_conjecture,
( hskp26
| hskp11
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause169,negated_conjecture,
( c2_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
cnf(clause128,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp16
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause155,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(clause125,negated_conjecture,
( ~ c0_1(a294)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ c2_1(a294)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause127,negated_conjecture,
( ~ c3_1(a294)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause176,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause134,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp10
| hskp11
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause79,negated_conjecture,
( c0_1(a295)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause80,negated_conjecture,
( c2_1(a295)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause124,negated_conjecture,
( ~ c1_1(a295)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause69,negated_conjecture,
( c3_1(a308)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause68,negated_conjecture,
( c1_1(a308)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause108,negated_conjecture,
( ~ c0_1(a308)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause173,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause167,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause138,negated_conjecture,
( c1_1(X1)
| hskp17
| hskp18
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
cnf(clause154,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp1
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause172,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
cnf(clause162,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause95,negated_conjecture,
( ~ c3_1(a333)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause94,negated_conjecture,
( ~ c2_1(a333)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause140,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause131,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| hskp0
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause137,negated_conjecture,
( c0_1(X1)
| hskp14
| hskp0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause55,negated_conjecture,
( c2_1(a329)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause98,negated_conjecture,
( ~ c3_1(a329)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause97,negated_conjecture,
( ~ c0_1(a329)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause111,negated_conjecture,
( ~ c0_1(a305)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(clause71,negated_conjecture,
( c2_1(a305)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause112,negated_conjecture,
( ~ c1_1(a305)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause52,negated_conjecture,
( c1_1(a333)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause123,negated_conjecture,
( ~ c3_1(a297)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause78,negated_conjecture,
( c1_1(a297)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause122,negated_conjecture,
( ~ c0_1(a297)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause57,negated_conjecture,
( c2_1(a323)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause56,negated_conjecture,
( c0_1(a323)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause99,negated_conjecture,
( ~ c3_1(a323)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause72,negated_conjecture,
( c0_1(a303)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause73,negated_conjecture,
( c1_1(a303)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause113,negated_conjecture,
( ~ c2_1(a303)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause103,negated_conjecture,
( ~ c0_1(a315)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause61,negated_conjecture,
( c1_1(a315)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause62,negated_conjecture,
( c2_1(a315)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause118,negated_conjecture,
( ~ c0_1(a300)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ c1_1(a300)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause120,negated_conjecture,
( ~ c2_1(a300)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause178,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause174,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause170,negated_conjecture,
( c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(clause165,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp7
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
cnf(clause161,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(clause149,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(c_0_73,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
clause5 ).
cnf(c_0_74,negated_conjecture,
( hskp26
| hskp16 ),
clause1 ).
cnf(c_0_75,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
clause15 ).
fof(c_0_76,plain,
( ~ epred34_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_77,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause129 ).
cnf(c_0_78,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_79,negated_conjecture,
( epred34_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( c3_1(a336)
| ~ hskp21 ),
clause51 ).
cnf(c_0_81,negated_conjecture,
( ~ c0_1(a336)
| ~ hskp21 ),
clause92 ).
cnf(c_0_82,negated_conjecture,
( ~ c1_1(a336)
| ~ hskp21 ),
clause93 ).
cnf(c_0_83,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp21
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_84,negated_conjecture,
( c0_1(a349)
| ~ hskp26 ),
clause47 ).
cnf(c_0_85,negated_conjecture,
( ~ c2_1(a349)
| ~ hskp26 ),
clause81 ).
cnf(c_0_86,negated_conjecture,
( ~ c3_1(a349)
| ~ hskp26 ),
clause82 ).
fof(c_0_87,plain,
( ~ epred1_0
<=> ! [X2] :
( c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_88,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_89,negated_conjecture,
( epred34_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( hskp21
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( epred1_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_87]),c_0_78])]) ).
cnf(c_0_92,negated_conjecture,
( c3_1(a310)
| ~ hskp12 ),
clause65 ).
cnf(c_0_93,negated_conjecture,
( ~ c2_1(a310)
| ~ hskp12 ),
clause106 ).
cnf(c_0_94,negated_conjecture,
( ~ c0_1(a310)
| ~ hskp12 ),
clause105 ).
cnf(c_0_95,negated_conjecture,
( epred2_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( c3_1(a321)
| ~ hskp16 ),
clause59 ).
cnf(c_0_97,negated_conjecture,
( c2_1(a321)
| ~ hskp16 ),
clause58 ).
cnf(c_0_98,negated_conjecture,
( ~ c1_1(a321)
| ~ hskp16 ),
clause100 ).
cnf(c_0_99,negated_conjecture,
( c3_1(a309)
| ~ hskp11 ),
clause67 ).
cnf(c_0_100,negated_conjecture,
( c1_1(a309)
| ~ hskp11 ),
clause66 ).
cnf(c_0_101,negated_conjecture,
( ~ c2_1(a309)
| ~ hskp11 ),
clause107 ).
cnf(c_0_102,negated_conjecture,
( epred34_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_103,negated_conjecture,
( hskp26
| hskp11
| hskp12 ),
clause36 ).
cnf(c_0_104,negated_conjecture,
( epred1_0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_105,negated_conjecture,
( epred34_0
| c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_92]),c_0_94]) ).
cnf(c_0_106,negated_conjecture,
( epred2_0
| ~ c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_107,negated_conjecture,
( epred34_0
| c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_96]),c_0_98]) ).
cnf(c_0_108,negated_conjecture,
( c2_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause169 ).
cnf(c_0_109,negated_conjecture,
( epred1_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_110,negated_conjecture,
( epred34_0
| hskp11
| hskp12 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( epred34_0
| epred1_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( epred34_0
| epred2_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,negated_conjecture,
( epred34_0
| hskp16 ),
inference(spm,[status(thm)],[c_0_102,c_0_74]) ).
fof(c_0_114,plain,
( ~ epred45_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_115,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp16
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause128 ).
fof(c_0_116,plain,
( ~ epred33_0
<=> ! [X1] :
( hskp0
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_117,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause155 ).
cnf(c_0_118,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_108,c_0_87]),c_0_88]) ).
cnf(c_0_119,negated_conjecture,
( epred34_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( epred34_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,negated_conjecture,
( epred45_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_114]) ).
cnf(c_0_122,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| hskp16
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_78])]) ).
fof(c_0_123,plain,
( ~ epred9_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_124,plain,
( ~ epred11_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_125,negated_conjecture,
( ~ epred34_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_117,c_0_116]),c_0_76]) ).
cnf(c_0_126,negated_conjecture,
epred34_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
fof(c_0_127,plain,
( ~ epred41_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred16_0
<=> ! [X1] :
( hskp12
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( epred45_0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_80]),c_0_82]) ).
cnf(c_0_130,negated_conjecture,
( c2_1(a336)
| hskp16
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_80]),c_0_82]) ).
cnf(c_0_131,negated_conjecture,
( epred45_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_96]),c_0_97]),c_0_98]) ).
cnf(c_0_132,negated_conjecture,
( ~ c0_1(a294)
| ~ hskp0 ),
clause125 ).
cnf(c_0_133,negated_conjecture,
( epred9_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_123]) ).
cnf(c_0_134,negated_conjecture,
( ~ c2_1(a294)
| ~ hskp0 ),
clause126 ).
cnf(c_0_135,negated_conjecture,
( epred11_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_124]) ).
cnf(c_0_136,negated_conjecture,
( epred33_0
| c2_1(X1)
| hskp0
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_78])]) ).
cnf(c_0_137,negated_conjecture,
~ epred33_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).
cnf(c_0_138,negated_conjecture,
( ~ c3_1(a294)
| ~ hskp0 ),
clause127 ).
cnf(c_0_139,negated_conjecture,
( epred41_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_127]),c_0_78])]) ).
cnf(c_0_140,negated_conjecture,
( epred16_0
| c3_1(X1)
| c2_1(X1)
| hskp12
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_78])]) ).
fof(c_0_141,plain,
( ~ epred31_0
<=> ! [X1] :
( hskp1
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_142,negated_conjecture,
( epred45_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_143,negated_conjecture,
( epred9_0
| ~ c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_144,negated_conjecture,
( epred11_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_135]),c_0_134]) ).
cnf(c_0_145,negated_conjecture,
( hskp0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_92]),c_0_137]),c_0_93]) ).
cnf(c_0_146,negated_conjecture,
( epred11_0
| c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_135]),c_0_93]) ).
cnf(c_0_147,negated_conjecture,
( epred41_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_132]),c_0_134]) ).
cnf(c_0_148,negated_conjecture,
( hskp0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_99]),c_0_137]),c_0_100]),c_0_101]) ).
cnf(c_0_149,negated_conjecture,
( epred16_0
| hskp12
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_150,negated_conjecture,
( epred31_0
| c1_1(X1)
| hskp1
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_78])]) ).
fof(c_0_151,plain,
( ~ epred32_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( ~ epred23_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_153,plain,
( ~ epred43_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause176 ).
cnf(c_0_155,negated_conjecture,
( epred45_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_142,c_0_90]) ).
cnf(c_0_156,negated_conjecture,
( epred11_0
| epred9_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_157,negated_conjecture,
( epred9_0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_133]),c_0_93]) ).
cnf(c_0_158,negated_conjecture,
( epred11_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_159,negated_conjecture,
( epred41_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_160,negated_conjecture,
( epred16_0
| hskp11
| hskp12 ),
inference(spm,[status(thm)],[c_0_149,c_0_103]) ).
fof(c_0_161,plain,
( ~ epred15_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_162,plain,
( ~ epred28_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_163,negated_conjecture,
( epred31_0
| hskp1
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_80]),c_0_82]) ).
cnf(c_0_164,negated_conjecture,
( epred31_0
| hskp1
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_96]),c_0_97]),c_0_98]) ).
cnf(c_0_165,negated_conjecture,
( epred32_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_151]) ).
fof(c_0_166,plain,
( ~ epred47_0
<=> ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_167,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp10
| hskp11
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause134 ).
cnf(c_0_168,negated_conjecture,
( epred23_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_152]) ).
cnf(c_0_169,negated_conjecture,
( epred43_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_78])]) ).
cnf(c_0_170,negated_conjecture,
( ~ epred45_0
| ~ epred41_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_154,c_0_127]),c_0_123]),c_0_114]) ).
cnf(c_0_171,negated_conjecture,
epred45_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_74]),c_0_131]) ).
cnf(c_0_172,negated_conjecture,
( epred11_0
| epred9_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_156,c_0_148]) ).
cnf(c_0_173,negated_conjecture,
( epred11_0
| epred9_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_157,c_0_146]) ).
cnf(c_0_174,negated_conjecture,
( epred41_0
| epred11_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_147,c_0_158]) ).
cnf(c_0_175,negated_conjecture,
( epred41_0
| epred16_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_176,negated_conjecture,
( epred15_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_161]) ).
cnf(c_0_177,negated_conjecture,
( epred28_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_162]) ).
cnf(c_0_178,negated_conjecture,
( c0_1(a295)
| ~ hskp1 ),
clause79 ).
cnf(c_0_179,negated_conjecture,
( c2_1(a295)
| ~ hskp1 ),
clause80 ).
cnf(c_0_180,negated_conjecture,
( ~ c1_1(a295)
| ~ hskp1 ),
clause124 ).
cnf(c_0_181,negated_conjecture,
( epred31_0
| hskp1
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_130]),c_0_164]) ).
cnf(c_0_182,negated_conjecture,
( epred32_0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_165]),c_0_82]) ).
cnf(c_0_183,negated_conjecture,
( epred47_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_166]) ).
cnf(c_0_184,negated_conjecture,
( c3_1(a308)
| ~ hskp10 ),
clause69 ).
cnf(c_0_185,negated_conjecture,
( c1_1(a308)
| ~ hskp10 ),
clause68 ).
cnf(c_0_186,negated_conjecture,
( ~ c0_1(a308)
| ~ hskp10 ),
clause108 ).
cnf(c_0_187,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp10
| hskp11
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_78])]) ).
cnf(c_0_188,negated_conjecture,
( epred43_0
| epred23_0
| c2_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_189,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause173 ).
cnf(c_0_190,negated_conjecture,
( ~ epred41_0
| ~ epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_191,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_160]),c_0_173]) ).
cnf(c_0_192,negated_conjecture,
( epred41_0
| epred16_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_193,negated_conjecture,
( epred15_0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_92]),c_0_93]) ).
cnf(c_0_194,negated_conjecture,
( epred23_0
| c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_92]),c_0_93]) ).
cnf(c_0_195,negated_conjecture,
( epred15_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_196,negated_conjecture,
( epred28_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_180]) ).
cnf(c_0_197,negated_conjecture,
( epred31_0
| hskp1
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_181,c_0_90]) ).
cnf(c_0_198,negated_conjecture,
( epred32_0
| epred28_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_165]) ).
cnf(c_0_199,negated_conjecture,
( epred32_0
| hskp16
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_182,c_0_130]) ).
cnf(c_0_200,negated_conjecture,
( epred47_0
| ~ hskp10 ),
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_201,negated_conjecture,
( epred41_0
| c2_1(X1)
| c0_1(X1)
| hskp10
| hskp11 ),
inference(spm,[status(thm)],[c_0_187,c_0_139]) ).
cnf(c_0_202,negated_conjecture,
( epred43_0
| epred23_0
| c1_1(a294)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_134,c_0_188]) ).
cnf(c_0_203,negated_conjecture,
( ~ epred43_0
| ~ epred15_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_189,c_0_153]),c_0_161]),c_0_124]) ).
cnf(c_0_204,negated_conjecture,
( epred16_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_205,negated_conjecture,
( epred23_0
| epred15_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_206,negated_conjecture,
( epred16_0
| epred15_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_195,c_0_160]) ).
fof(c_0_207,plain,
( ~ epred37_0
<=> ! [X1] :
( hskp4
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_208,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause167 ).
cnf(c_0_209,negated_conjecture,
( epred31_0
| epred28_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_210,negated_conjecture,
( epred31_0
| epred28_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_196,c_0_164]) ).
cnf(c_0_211,negated_conjecture,
( epred32_0
| epred28_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_97]),c_0_98]) ).
cnf(c_0_212,negated_conjecture,
( epred32_0
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_90]),c_0_74]) ).
cnf(c_0_213,negated_conjecture,
( epred47_0
| epred41_0
| c2_1(X1)
| c0_1(X1)
| hskp11 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_214,negated_conjecture,
( epred43_0
| epred23_0
| epred9_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_143,c_0_202]) ).
cnf(c_0_215,negated_conjecture,
( epred16_0
| ~ epred43_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_216,negated_conjecture,
( epred23_0
| epred16_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_217,negated_conjecture,
( epred23_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_145,c_0_194]) ).
fof(c_0_218,plain,
( ~ epred30_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_219,negated_conjecture,
( c1_1(X1)
| hskp17
| hskp18
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause138 ).
cnf(c_0_220,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp1
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause154 ).
cnf(c_0_221,negated_conjecture,
( ~ epred37_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_208,c_0_207]),c_0_162]) ).
cnf(c_0_222,negated_conjecture,
( epred31_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_74]),c_0_210]) ).
cnf(c_0_223,negated_conjecture,
( epred32_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_224,negated_conjecture,
( epred47_0
| epred41_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_213]) ).
fof(c_0_225,plain,
( ~ epred17_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_226,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause172 ).
cnf(c_0_227,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause162 ).
cnf(c_0_228,negated_conjecture,
( epred43_0
| epred23_0
| epred9_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_214,c_0_148]) ).
cnf(c_0_229,negated_conjecture,
( epred23_0
| epred9_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_157,c_0_194]) ).
cnf(c_0_230,negated_conjecture,
( epred23_0
| epred16_0
| ~ epred43_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_231,negated_conjecture,
( epred41_0
| epred23_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_147,c_0_217]) ).
fof(c_0_232,plain,
( ~ epred22_0
<=> ! [X1] :
( hskp7
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_233,plain,
( ~ epred10_0
<=> ! [X1] :
( hskp0
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_234,plain,
( ~ epred20_0
<=> ! [X1] :
( hskp8
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_235,negated_conjecture,
( epred30_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_218]) ).
fof(c_0_236,plain,
( ~ epred42_0
<=> ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_237,negated_conjecture,
( ~ c3_1(a333)
| ~ hskp20 ),
clause95 ).
cnf(c_0_238,negated_conjecture,
( ~ c2_1(a333)
| ~ hskp20 ),
clause94 ).
cnf(c_0_239,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause140 ).
cnf(c_0_240,negated_conjecture,
( c1_1(X1)
| hskp17
| hskp18
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_78])]) ).
cnf(c_0_241,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| hskp0
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause131 ).
cnf(c_0_242,negated_conjecture,
( c0_1(X1)
| hskp14
| hskp0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause137 ).
fof(c_0_243,plain,
( ~ epred46_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_244,plain,
( ~ epred38_0
<=> ! [X2] :
( hskp11
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_245,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_220,c_0_141]),c_0_151]) ).
cnf(c_0_246,negated_conjecture,
( epred31_0
| ~ epred37_0 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_247,negated_conjecture,
( epred32_0
| ~ epred37_0 ),
inference(spm,[status(thm)],[c_0_221,c_0_223]) ).
cnf(c_0_248,negated_conjecture,
( epred47_0
| epred41_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_224]),c_0_93]) ).
cnf(c_0_249,negated_conjecture,
( ~ epred41_0
| ~ epred17_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226,c_0_127]),c_0_124]),c_0_225]) ).
cnf(c_0_250,negated_conjecture,
( ~ epred17_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_227,c_0_128]),c_0_225]) ).
cnf(c_0_251,negated_conjecture,
( epred23_0
| epred16_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_160]),c_0_229]),c_0_230]) ).
cnf(c_0_252,negated_conjecture,
( epred41_0
| epred23_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_175]) ).
cnf(c_0_253,negated_conjecture,
( epred22_0
| c2_1(X1)
| hskp7
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_232]),c_0_78])]) ).
cnf(c_0_254,negated_conjecture,
( epred10_0
| c2_1(X1)
| hskp0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_233]),c_0_78])]) ).
cnf(c_0_255,negated_conjecture,
( epred20_0
| c3_1(X1)
| hskp8
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_78])]) ).
cnf(c_0_256,negated_conjecture,
( c2_1(a329)
| ~ hskp18 ),
clause55 ).
cnf(c_0_257,negated_conjecture,
( ~ c3_1(a329)
| ~ hskp18 ),
clause98 ).
cnf(c_0_258,negated_conjecture,
( ~ c0_1(a329)
| ~ hskp18 ),
clause97 ).
cnf(c_0_259,negated_conjecture,
( ~ c0_1(a305)
| ~ hskp8 ),
clause111 ).
cnf(c_0_260,negated_conjecture,
( c2_1(a305)
| ~ hskp8 ),
clause71 ).
cnf(c_0_261,negated_conjecture,
( ~ c1_1(a305)
| ~ hskp8 ),
clause112 ).
cnf(c_0_262,negated_conjecture,
( epred30_0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_80]),c_0_81]) ).
cnf(c_0_263,negated_conjecture,
( epred42_0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_236]) ).
fof(c_0_264,plain,
( ~ epred21_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_265,negated_conjecture,
( epred17_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_225]) ).
cnf(c_0_266,negated_conjecture,
( epred41_0
| c0_1(a333)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_139]),c_0_238]) ).
cnf(c_0_267,negated_conjecture,
( epred9_0
| c3_1(X1)
| c2_1(X1)
| hskp21
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_133]) ).
cnf(c_0_268,negated_conjecture,
( c1_1(a333)
| ~ hskp20 ),
clause52 ).
cnf(c_0_269,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp20
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_78])]) ).
cnf(c_0_270,negated_conjecture,
( epred30_0
| c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_96]),c_0_97]) ).
cnf(c_0_271,negated_conjecture,
( epred32_0
| c1_1(X1)
| hskp17
| hskp18
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_165]) ).
cnf(c_0_272,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp0
| hskp2
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_78])]) ).
cnf(c_0_273,negated_conjecture,
( c0_1(X1)
| hskp0
| hskp14
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_78])]) ).
cnf(c_0_274,negated_conjecture,
( ~ c3_1(a297)
| ~ hskp2 ),
clause123 ).
cnf(c_0_275,negated_conjecture,
( epred46_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_243]),c_0_78])]) ).
cnf(c_0_276,negated_conjecture,
( c1_1(a297)
| ~ hskp2 ),
clause78 ).
cnf(c_0_277,negated_conjecture,
( ~ c0_1(a297)
| ~ hskp2 ),
clause122 ).
cnf(c_0_278,negated_conjecture,
( epred38_0
| c3_1(X1)
| hskp11
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_244]),c_0_78])]) ).
cnf(c_0_279,negated_conjecture,
( c2_1(a323)
| ~ hskp17 ),
clause57 ).
cnf(c_0_280,negated_conjecture,
( c0_1(a323)
| ~ hskp17 ),
clause56 ).
cnf(c_0_281,negated_conjecture,
( ~ c3_1(a323)
| ~ hskp17 ),
clause99 ).
cnf(c_0_282,negated_conjecture,
( epred37_0
| c1_1(X1)
| hskp4
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_78])]) ).
cnf(c_0_283,negated_conjecture,
~ epred37_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).
cnf(c_0_284,negated_conjecture,
( epred43_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_169]),c_0_134]) ).
cnf(c_0_285,negated_conjecture,
( epred47_0
| epred41_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_175]) ).
cnf(c_0_286,negated_conjecture,
( ~ epred41_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_204]),c_0_250]) ).
cnf(c_0_287,negated_conjecture,
( epred23_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_251]),c_0_252]) ).
cnf(c_0_288,negated_conjecture,
( c1_1(a310)
| hskp16
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_92]),c_0_93]) ).
cnf(c_0_289,negated_conjecture,
( epred22_0
| epred9_0
| c2_1(X1)
| hskp7
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_133]) ).
cnf(c_0_290,negated_conjecture,
( epred10_0
| epred9_0
| c2_1(X1)
| hskp0
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_133]) ).
cnf(c_0_291,negated_conjecture,
( epred20_0
| hskp8
| ~ c1_1(a329)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
cnf(c_0_292,negated_conjecture,
( epred32_0
| c1_1(a329)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_165]),c_0_256]) ).
cnf(c_0_293,negated_conjecture,
( epred32_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_165]),c_0_260]),c_0_261]) ).
cnf(c_0_294,negated_conjecture,
( c0_1(a303)
| ~ hskp7 ),
clause72 ).
cnf(c_0_295,negated_conjecture,
( c1_1(a303)
| ~ hskp7 ),
clause73 ).
cnf(c_0_296,negated_conjecture,
( ~ c2_1(a303)
| ~ hskp7 ),
clause113 ).
cnf(c_0_297,negated_conjecture,
( epred30_0
| hskp16
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_262,c_0_130]) ).
cnf(c_0_298,negated_conjecture,
( epred42_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_263]),c_0_132]) ).
cnf(c_0_299,negated_conjecture,
( epred21_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_264]) ).
cnf(c_0_300,negated_conjecture,
( ~ c0_1(a315)
| ~ hskp14 ),
clause103 ).
cnf(c_0_301,negated_conjecture,
( c1_1(a315)
| ~ hskp14 ),
clause61 ).
cnf(c_0_302,negated_conjecture,
( c2_1(a315)
| ~ hskp14 ),
clause62 ).
cnf(c_0_303,negated_conjecture,
( epred17_0
| ~ c2_1(a308)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_265]),c_0_185]) ).
cnf(c_0_304,negated_conjecture,
( epred9_0
| c2_1(a308)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_133]),c_0_185]) ).
cnf(c_0_305,negated_conjecture,
( ~ c0_1(a300)
| ~ hskp4 ),
clause118 ).
cnf(c_0_306,negated_conjecture,
( ~ c1_1(a300)
| ~ hskp4 ),
clause119 ).
cnf(c_0_307,negated_conjecture,
( ~ c2_1(a300)
| ~ hskp4 ),
clause120 ).
cnf(c_0_308,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X3) ),
clause178 ).
cnf(c_0_309,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause174 ).
cnf(c_0_310,negated_conjecture,
( c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause170 ).
cnf(c_0_311,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp7
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause165 ).
cnf(c_0_312,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause161 ).
cnf(c_0_313,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause149 ).
cnf(c_0_314,negated_conjecture,
( epred10_0
| c2_1(a333)
| hskp0
| epred41_0
| ~ c1_1(a333)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_254,c_0_266]) ).
cnf(c_0_315,negated_conjecture,
( epred9_0
| c3_1(a333)
| c2_1(a333)
| hskp21
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_316,negated_conjecture,
( c1_1(a321)
| hskp11
| hskp20
| epred30_0
| ~ c2_1(a321)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_317,negated_conjecture,
( epred2_0
| epred32_0
| c1_1(a321)
| ~ hskp16
| ~ c2_1(a321) ),
inference(spm,[status(thm)],[c_0_106,c_0_165]) ).
cnf(c_0_318,negated_conjecture,
( epred32_0
| c1_1(a321)
| hskp17
| hskp18
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_271,c_0_97]) ).
cnf(c_0_319,negated_conjecture,
( c2_1(a336)
| c0_1(a336)
| hskp10
| hskp11
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_187,c_0_80]) ).
cnf(c_0_320,negated_conjecture,
( c1_1(a310)
| c0_1(a310)
| hskp0
| hskp2
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_272,c_0_92]) ).
cnf(c_0_321,negated_conjecture,
( c1_1(a295)
| hskp11
| hskp20
| ~ c2_1(a295)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_269,c_0_178]) ).
cnf(c_0_322,negated_conjecture,
( c0_1(a336)
| hskp0
| hskp14
| ~ c2_1(a336)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_273,c_0_80]) ).
cnf(c_0_323,negated_conjecture,
( c0_1(a321)
| hskp0
| hskp14
| ~ c2_1(a321)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_273,c_0_96]) ).
cnf(c_0_324,negated_conjecture,
( epred46_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]),c_0_277]) ).
cnf(c_0_325,negated_conjecture,
( epred38_0
| hskp11
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_281]) ).
cnf(c_0_326,negated_conjecture,
( hskp4
| ~ c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_96]),c_0_283]),c_0_98]) ).
cnf(c_0_327,negated_conjecture,
( epred43_0
| epred9_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_143,c_0_284]) ).
cnf(c_0_328,negated_conjecture,
( epred47_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_285]),c_0_286]) ).
cnf(c_0_329,negated_conjecture,
( epred23_0
| ~ epred17_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_287]) ).
cnf(c_0_330,negated_conjecture,
( hskp0
| hskp16
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_145,c_0_288]) ).
cnf(c_0_331,negated_conjecture,
( epred22_0
| epred9_0
| hskp7
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_268]),c_0_238]) ).
cnf(c_0_332,negated_conjecture,
( epred10_0
| epred9_0
| hskp0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_268]),c_0_238]) ).
cnf(c_0_333,negated_conjecture,
( epred32_0
| epred20_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).
cnf(c_0_334,negated_conjecture,
( epred10_0
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_294]),c_0_295]),c_0_296]) ).
cnf(c_0_335,negated_conjecture,
( epred30_0
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_90]),c_0_74]) ).
cnf(c_0_336,negated_conjecture,
( epred42_0
| epred9_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_143,c_0_298]) ).
cnf(c_0_337,negated_conjecture,
( epred21_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_299]),c_0_256]),c_0_258]) ).
cnf(c_0_338,negated_conjecture,
( epred17_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_265]),c_0_301]),c_0_302]) ).
cnf(c_0_339,negated_conjecture,
( epred17_0
| epred9_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_340,negated_conjecture,
( epred11_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_135]),c_0_306]),c_0_307]) ).
cnf(c_0_341,negated_conjecture,
( ~ epred47_0
| ~ epred46_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_308,c_0_243]),c_0_123]),c_0_166]) ).
cnf(c_0_342,negated_conjecture,
( ~ epred42_0
| ~ epred41_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_309,c_0_127]),c_0_236]),c_0_218]) ).
cnf(c_0_343,negated_conjecture,
( ~ epred38_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_310,c_0_244]),c_0_88]) ).
cnf(c_0_344,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_311,c_0_232]),c_0_152]) ).
cnf(c_0_345,negated_conjecture,
( ~ epred21_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_312,c_0_234]),c_0_264]) ).
cnf(c_0_346,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_313,c_0_233]),c_0_124]) ).
cnf(c_0_347,plain,
$false,
inference(cdclpropres,[status(thm)],[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_286,c_0_204,c_0_330,c_0_145,c_0_159,c_0_148,c_0_147,c_0_331,c_0_164,c_0_332,c_0_333,c_0_160,c_0_334,c_0_212,c_0_335,c_0_190,c_0_130,c_0_90,c_0_336,c_0_262,c_0_337,c_0_338,c_0_339,c_0_195,c_0_340,c_0_156,c_0_109,c_0_341,c_0_203,c_0_342,c_0_343,c_0_245,c_0_344,c_0_345,c_0_250,c_0_346,c_0_118,c_0_180,c_0_94,c_0_237,c_0_238,c_0_81,c_0_98,c_0_179,c_0_97,c_0_268,c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN445-1 : 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
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:33:38 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 5.39/4.24 % Version : CSE_E---1.7
% 5.39/4.24 % Problem : theBenchmark.p
% 5.39/4.24 % SZS status Unsatisfiable for theBenchmark.p
% 5.39/4.24 % SZS output start CNFRefutation
% See solution above
% 5.39/4.25 % Total time : 3.370s
%------------------------------------------------------------------------------