%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN511-1 : 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 : n014.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 05:38:53 PM UTC 2026
% Result : Unsatisfiable 4.79s 3.37s
% Output : CNFRefutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 121
% Syntax : Number of formulae : 374 ( 2 unt; 0 def)
% Number of atoms : 1414 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1776 ( 736 ~;1007 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 58 ( 57 usr; 54 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 181 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause33,negated_conjecture,
( hskp28
| hskp30
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause3,negated_conjecture,
( ndr1_0
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause20,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause44,negated_conjecture,
( c3_1(a753)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause43,negated_conjecture,
( c2_1(a753)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause42,negated_conjecture,
( c0_1(a753)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause50,negated_conjecture,
( c3_1(a678)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause49,negated_conjecture,
( c1_1(a678)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( c0_1(a678)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause76,negated_conjecture,
( c3_1(a683)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause75,negated_conjecture,
( c0_1(a683)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause114,negated_conjecture,
( ~ c2_1(a683)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause119,negated_conjecture,
( ~ c2_1(a675)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause82,negated_conjecture,
( c1_1(a675)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause83,negated_conjecture,
( c3_1(a675)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause191,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause198,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause149,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp29
| hskp15
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(clause79,negated_conjecture,
( c2_1(a680)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause116,negated_conjecture,
( ~ c1_1(a680)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause148,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp20
| hskp19
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause68,negated_conjecture,
( c3_1(a702)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause67,negated_conjecture,
( c2_1(a702)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause107,negated_conjecture,
( ~ c1_1(a702)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause63,negated_conjecture,
( c1_1(a710)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause102,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause155,negated_conjecture,
( c2_1(X1)
| hskp28
| hskp10
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(clause62,negated_conjecture,
( c1_1(a711)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause101,negated_conjecture,
( ~ c2_1(a711)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause140,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp8
| hskp9
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause156,negated_conjecture,
( c2_1(X1)
| hskp14
| hskp17
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause167,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp11
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause54,negated_conjecture,
( c1_1(a762)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause90,negated_conjecture,
( ~ c0_1(a762)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause91,negated_conjecture,
( ~ c3_1(a762)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause174,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause74,negated_conjecture,
( c3_1(a684)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause112,negated_conjecture,
( ~ c0_1(a684)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause77,negated_conjecture,
( c2_1(a681)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause115,negated_conjecture,
( ~ c0_1(a681)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause78,negated_conjecture,
( c3_1(a681)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause179,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp28
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause47,negated_conjecture,
( c3_1(a725)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause46,negated_conjecture,
( c2_1(a725)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause45,negated_conjecture,
( c1_1(a725)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause69,negated_conjecture,
( c2_1(a700)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause108,negated_conjecture,
( ~ c0_1(a700)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause64,negated_conjecture,
( c2_1(a710)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause55,negated_conjecture,
( c0_1(a731)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause85,negated_conjecture,
( c3_1(a674)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause109,negated_conjecture,
( ~ c3_1(a700)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause113,negated_conjecture,
( ~ c2_1(a684)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause117,negated_conjecture,
( ~ c3_1(a680)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause96,negated_conjecture,
( ~ c3_1(a731)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause89,negated_conjecture,
( c1_1(a668)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause36,negated_conjecture,
( hskp30
| hskp26
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause110,negated_conjecture,
( ~ c3_1(a696)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause70,negated_conjecture,
( c0_1(a696)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause71,negated_conjecture,
( c2_1(a696)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause81,negated_conjecture,
( c3_1(a679)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause80,negated_conjecture,
( c1_1(a679)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause118,negated_conjecture,
( ~ c0_1(a679)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause39,negated_conjecture,
( hskp29
| hskp0
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause134,negated_conjecture,
( ~ c3_1(a668)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause133,negated_conjecture,
( ~ c2_1(a668)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause84,negated_conjecture,
( c0_1(a674)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause34,negated_conjecture,
( hskp28
| hskp19
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause153,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp19
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
cnf(clause105,negated_conjecture,
( ~ c0_1(a703)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause66,negated_conjecture,
( c1_1(a703)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause199,negated_conjecture,
( c2_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause201,negated_conjecture,
( c1_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
cnf(clause202,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause200,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause195,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause193,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause192,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause189,negated_conjecture,
( c0_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause186,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause183,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause185,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp19
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause168,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp7
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause171,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause166,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
cnf(clause162,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause120,negated_conjecture,
( ~ c1_1(a674)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause95,negated_conjecture,
( ~ c1_1(a731)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(c_0_88,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
clause1 ).
cnf(c_0_89,negated_conjecture,
( hskp28
| hskp30
| hskp11 ),
clause33 ).
cnf(c_0_90,negated_conjecture,
( ndr1_0
| ~ hskp28 ),
clause3 ).
cnf(c_0_91,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
clause20 ).
fof(c_0_92,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).
fof(c_0_94,plain,
( ~ epred23_0
<=> ! [X1] :
( hskp11
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_95,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_96,negated_conjecture,
( epred3_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_92]),c_0_93])]) ).
cnf(c_0_97,negated_conjecture,
( c3_1(a753)
| ~ hskp30 ),
clause44 ).
cnf(c_0_98,negated_conjecture,
( c2_1(a753)
| ~ hskp30 ),
clause43 ).
cnf(c_0_99,negated_conjecture,
( epred23_0
| c1_1(X1)
| hskp11
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_94]),c_0_93])]) ).
fof(c_0_100,plain,
( ~ epred22_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_101,negated_conjecture,
( epred4_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( c0_1(a753)
| ~ hskp30 ),
clause42 ).
fof(c_0_103,plain,
( ~ epred1_0
<=> ! [X1] :
( c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_104,negated_conjecture,
( epred3_0
| ~ c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_105,negated_conjecture,
( epred23_0
| c1_1(a753)
| hskp11
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_97]),c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( c3_1(a678)
| ~ hskp28 ),
clause50 ).
cnf(c_0_107,negated_conjecture,
( c1_1(a678)
| ~ hskp28 ),
clause49 ).
cnf(c_0_108,negated_conjecture,
( epred22_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( c0_1(a678)
| ~ hskp28 ),
clause48 ).
cnf(c_0_110,negated_conjecture,
( c3_1(a683)
| ~ hskp11 ),
clause76 ).
cnf(c_0_111,negated_conjecture,
( c0_1(a683)
| ~ hskp11 ),
clause75 ).
cnf(c_0_112,negated_conjecture,
( ~ c2_1(a683)
| ~ hskp11 ),
clause114 ).
cnf(c_0_113,negated_conjecture,
( epred4_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_97]),c_0_102]),c_0_98]) ).
cnf(c_0_114,negated_conjecture,
( epred1_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_103]),c_0_93])]) ).
fof(c_0_115,plain,
( ~ epred15_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_116,plain,
( ~ epred35_0
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_117,negated_conjecture,
( epred23_0
| epred3_0
| hskp11
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_118,negated_conjecture,
( epred3_0
| ~ c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_106]),c_0_107]) ).
cnf(c_0_119,negated_conjecture,
( epred22_0
| c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_106]),c_0_109]) ).
cnf(c_0_120,negated_conjecture,
( epred22_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_121,negated_conjecture,
( epred4_0
| hskp11
| hskp28 ),
inference(spm,[status(thm)],[c_0_113,c_0_89]) ).
fof(c_0_122,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_123,negated_conjecture,
( epred1_0
| c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_97]),c_0_102]) ).
cnf(c_0_124,negated_conjecture,
( ~ c2_1(a675)
| ~ hskp7 ),
clause119 ).
cnf(c_0_125,negated_conjecture,
( epred15_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_115]) ).
cnf(c_0_126,negated_conjecture,
( c1_1(a675)
| ~ hskp7 ),
clause82 ).
cnf(c_0_127,negated_conjecture,
( epred35_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_116]) ).
cnf(c_0_128,negated_conjecture,
( c3_1(a675)
| ~ hskp7 ),
clause83 ).
fof(c_0_129,plain,
( ~ epred29_0
<=> ! [X1] :
( hskp7
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_130,plain,
( ~ epred51_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_131,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause191 ).
cnf(c_0_132,negated_conjecture,
( epred23_0
| epred3_0
| hskp11
| hskp28 ),
inference(spm,[status(thm)],[c_0_117,c_0_89]) ).
cnf(c_0_133,negated_conjecture,
( epred22_0
| epred3_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_134,negated_conjecture,
( epred4_0
| ~ c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_106]),c_0_109]) ).
cnf(c_0_135,negated_conjecture,
( epred22_0
| epred4_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_136,negated_conjecture,
( epred43_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
cnf(c_0_137,negated_conjecture,
( epred3_0
| epred1_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_104,c_0_123]) ).
fof(c_0_138,plain,
( ~ epred36_0
<=> ! [X2] :
( hskp28
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( epred15_0
| ~ c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_140,negated_conjecture,
( epred35_0
| c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_126]) ).
cnf(c_0_141,negated_conjecture,
( epred29_0
| c2_1(X1)
| hskp7
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_93])]) ).
fof(c_0_142,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp12
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_143,plain,
( ~ epred10_0
<=> ! [X1] :
( hskp10
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_144,negated_conjecture,
( epred51_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_130]) ).
fof(c_0_145,plain,
( ~ epred57_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_146,plain,
( ~ epred58_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_147,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause198 ).
cnf(c_0_148,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_131,c_0_92]),c_0_95]) ).
cnf(c_0_149,negated_conjecture,
( epred23_0
| epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_132]),c_0_133]) ).
cnf(c_0_150,negated_conjecture,
( epred22_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_119]),c_0_135]) ).
cnf(c_0_151,negated_conjecture,
( epred43_0
| ~ c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_97]),c_0_102]) ).
cnf(c_0_152,negated_conjecture,
( epred43_0
| ~ c1_1(a683)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_110]),c_0_111]) ).
cnf(c_0_153,negated_conjecture,
( epred1_0
| c1_1(a683)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_110]),c_0_111]) ).
fof(c_0_154,plain,
( ~ epred24_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_155,plain,
( ~ epred2_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_156,negated_conjecture,
( epred3_0
| epred1_0
| hskp11
| hskp28 ),
inference(spm,[status(thm)],[c_0_137,c_0_89]) ).
fof(c_0_157,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_158,plain,
( ~ epred13_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_159,plain,
( ~ epred55_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_160,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp29
| hskp15
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause149 ).
cnf(c_0_161,negated_conjecture,
( epred36_0
| c1_1(X1)
| c0_1(X1)
| hskp28
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_93])]) ).
cnf(c_0_162,negated_conjecture,
( c2_1(a680)
| ~ hskp9 ),
clause79 ).
cnf(c_0_163,negated_conjecture,
( ~ c1_1(a680)
| ~ hskp9 ),
clause116 ).
cnf(c_0_164,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp20
| hskp19
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause148 ).
cnf(c_0_165,negated_conjecture,
( epred35_0
| epred15_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_166,negated_conjecture,
( epred29_0
| hskp7
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_167,negated_conjecture,
( c3_1(a702)
| ~ hskp16 ),
clause68 ).
cnf(c_0_168,negated_conjecture,
( c2_1(a702)
| ~ hskp16 ),
clause67 ).
cnf(c_0_169,negated_conjecture,
( ~ c1_1(a702)
| ~ hskp16 ),
clause107 ).
cnf(c_0_170,negated_conjecture,
( epred21_0
| c3_1(X1)
| c0_1(X1)
| hskp12
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_93])]) ).
cnf(c_0_171,negated_conjecture,
( c1_1(a710)
| ~ hskp19 ),
clause63 ).
cnf(c_0_172,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp19 ),
clause102 ).
cnf(c_0_173,negated_conjecture,
( c2_1(X1)
| hskp28
| hskp10
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause155 ).
cnf(c_0_174,negated_conjecture,
( epred10_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_143]),c_0_93])]) ).
cnf(c_0_175,negated_conjecture,
( c1_1(a711)
| ~ hskp20 ),
clause62 ).
cnf(c_0_176,negated_conjecture,
( ~ c2_1(a711)
| ~ hskp20 ),
clause101 ).
cnf(c_0_177,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp8
| hskp9
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause140 ).
cnf(c_0_178,negated_conjecture,
( c2_1(X1)
| hskp14
| hskp17
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause156 ).
fof(c_0_179,plain,
( ~ epred62_0
<=> ! [X2] :
( c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_180,plain,
( ~ epred61_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_181,plain,
( ~ epred60_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_182,plain,
( ~ epred54_0
<=> ! [X3] :
( c0_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_183,plain,
( ~ epred49_0
<=> ! [X2] :
( hskp15
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_184,plain,
( ~ epred50_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_185,plain,
( ~ epred42_0
<=> ! [X2] :
( hskp16
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_186,plain,
( ~ epred41_0
<=> ! [X1] :
( hskp16
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_187,plain,
( ~ epred39_0
<=> ! [X2] :
( hskp19
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_188,negated_conjecture,
( epred51_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_128]),c_0_126]),c_0_124]) ).
cnf(c_0_189,negated_conjecture,
( epred43_0
| ~ c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_128]),c_0_126]) ).
cnf(c_0_190,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp11
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause167 ).
cnf(c_0_191,negated_conjecture,
( ~ epred58_0
| ~ epred57_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_147,c_0_145]),c_0_146]),c_0_100]) ).
cnf(c_0_192,negated_conjecture,
( epred23_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_193,negated_conjecture,
( epred15_0
| ~ c1_1(a683)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_125]),c_0_111]) ).
cnf(c_0_194,negated_conjecture,
( c1_1(a762)
| ~ hskp26 ),
clause54 ).
cnf(c_0_195,negated_conjecture,
( ~ c0_1(a762)
| ~ hskp26 ),
clause90 ).
cnf(c_0_196,negated_conjecture,
( ~ c3_1(a762)
| ~ hskp26 ),
clause91 ).
cnf(c_0_197,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause174 ).
cnf(c_0_198,negated_conjecture,
( epred43_0
| epred1_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_151,c_0_123]) ).
cnf(c_0_199,negated_conjecture,
( epred43_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_106]),c_0_109]),c_0_107]) ).
cnf(c_0_200,negated_conjecture,
( epred43_0
| epred1_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_201,negated_conjecture,
( c3_1(a684)
| ~ hskp12 ),
clause74 ).
cnf(c_0_202,negated_conjecture,
( ~ c0_1(a684)
| ~ hskp12 ),
clause112 ).
cnf(c_0_203,negated_conjecture,
( epred24_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
fof(c_0_204,plain,
( ~ epred30_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_205,negated_conjecture,
( epred2_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_155]) ).
cnf(c_0_206,negated_conjecture,
( c2_1(a681)
| ~ hskp10 ),
clause77 ).
cnf(c_0_207,negated_conjecture,
( ~ c0_1(a681)
| ~ hskp10 ),
clause115 ).
cnf(c_0_208,negated_conjecture,
( c3_1(a681)
| ~ hskp10 ),
clause78 ).
cnf(c_0_209,negated_conjecture,
( epred22_0
| epred3_0
| epred1_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_120,c_0_156]) ).
cnf(c_0_210,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp28
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause179 ).
cnf(c_0_211,negated_conjecture,
( epred18_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_157]) ).
cnf(c_0_212,negated_conjecture,
( c3_1(a725)
| ~ hskp29 ),
clause47 ).
cnf(c_0_213,negated_conjecture,
( c2_1(a725)
| ~ hskp29 ),
clause46 ).
cnf(c_0_214,negated_conjecture,
( c1_1(a725)
| ~ hskp29 ),
clause45 ).
fof(c_0_215,plain,
( ~ epred5_0
<=> ! [X2] :
( hskp6
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_216,negated_conjecture,
( c2_1(a700)
| ~ hskp15 ),
clause69 ).
cnf(c_0_217,negated_conjecture,
( ~ c0_1(a700)
| ~ hskp15 ),
clause108 ).
cnf(c_0_218,negated_conjecture,
( epred13_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_158]) ).
fof(c_0_219,plain,
( ~ epred11_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_220,plain,
( ~ epred6_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_221,negated_conjecture,
( c2_1(a710)
| ~ hskp19 ),
clause64 ).
cnf(c_0_222,negated_conjecture,
( epred55_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_159]),c_0_93])]) ).
cnf(c_0_223,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp15
| hskp29
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_93])]) ).
cnf(c_0_224,negated_conjecture,
( epred36_0
| c0_1(a680)
| hskp28
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_225,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp19
| hskp20
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_93])]) ).
cnf(c_0_226,negated_conjecture,
( epred35_0
| epred29_0
| epred15_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_227,negated_conjecture,
( epred23_0
| hskp11
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_167]),c_0_168]),c_0_169]) ).
cnf(c_0_228,negated_conjecture,
( epred21_0
| c3_1(a710)
| hskp12
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_229,negated_conjecture,
( c2_1(X1)
| hskp10
| hskp28
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_93])]) ).
cnf(c_0_230,negated_conjecture,
( epred10_0
| c3_1(a711)
| hskp10
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_231,negated_conjecture,
( c0_1(a731)
| ~ hskp24 ),
clause55 ).
cnf(c_0_232,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp8
| hskp9
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_93])]) ).
cnf(c_0_233,negated_conjecture,
( c2_1(X1)
| hskp14
| hskp17
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_93])]) ).
cnf(c_0_234,negated_conjecture,
( epred62_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_179]),c_0_93])]) ).
cnf(c_0_235,negated_conjecture,
( c3_1(a674)
| ~ hskp6 ),
clause85 ).
cnf(c_0_236,negated_conjecture,
( ~ c3_1(a700)
| ~ hskp15 ),
clause109 ).
cnf(c_0_237,negated_conjecture,
( epred61_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_93])]) ).
cnf(c_0_238,negated_conjecture,
( ~ c2_1(a684)
| ~ hskp12 ),
clause113 ).
cnf(c_0_239,negated_conjecture,
( epred60_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_181]),c_0_93])]) ).
cnf(c_0_240,negated_conjecture,
( ~ c3_1(a680)
| ~ hskp9 ),
clause117 ).
cnf(c_0_241,negated_conjecture,
( epred57_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_145]),c_0_93])]) ).
cnf(c_0_242,negated_conjecture,
( epred54_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_182]),c_0_93])]) ).
cnf(c_0_243,negated_conjecture,
( epred49_0
| c0_1(X1)
| hskp15
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_183]),c_0_93])]) ).
cnf(c_0_244,negated_conjecture,
( ~ c3_1(a731)
| ~ hskp24 ),
clause96 ).
cnf(c_0_245,negated_conjecture,
( epred50_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_93])]) ).
cnf(c_0_246,negated_conjecture,
( epred42_0
| c1_1(X1)
| c2_1(X1)
| hskp16
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_185]),c_0_93])]) ).
cnf(c_0_247,negated_conjecture,
( epred41_0
| c3_1(X1)
| hskp16
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_186]),c_0_93])]) ).
cnf(c_0_248,negated_conjecture,
( c1_1(a668)
| ~ hskp0 ),
clause89 ).
cnf(c_0_249,negated_conjecture,
( epred39_0
| c1_1(X1)
| c2_1(X1)
| hskp19
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_187]),c_0_93])]) ).
cnf(c_0_250,negated_conjecture,
( epred51_0
| epred29_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_188,c_0_166]) ).
cnf(c_0_251,negated_conjecture,
( epred43_0
| epred35_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_189,c_0_140]) ).
cnf(c_0_252,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_190,c_0_94]),c_0_154]) ).
cnf(c_0_253,negated_conjecture,
( epred23_0
| ~ epred58_0
| ~ epred57_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_254,negated_conjecture,
( epred15_0
| epred1_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_193,c_0_153]) ).
cnf(c_0_255,negated_conjecture,
( epred21_0
| hskp12
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_194]),c_0_195]),c_0_196]) ).
cnf(c_0_256,negated_conjecture,
( hskp30
| hskp26
| hskp12 ),
clause36 ).
cnf(c_0_257,negated_conjecture,
( ~ c3_1(a696)
| ~ hskp14 ),
clause110 ).
cnf(c_0_258,negated_conjecture,
( epred58_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_146]) ).
cnf(c_0_259,negated_conjecture,
( c0_1(a696)
| ~ hskp14 ),
clause70 ).
cnf(c_0_260,negated_conjecture,
( c2_1(a696)
| ~ hskp14 ),
clause71 ).
cnf(c_0_261,negated_conjecture,
( epred51_0
| c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_106]),c_0_107]) ).
cnf(c_0_262,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_197,c_0_103]),c_0_155]) ).
cnf(c_0_263,negated_conjecture,
( epred43_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_89]),c_0_199]),c_0_200]) ).
cnf(c_0_264,negated_conjecture,
( epred35_0
| ~ c1_1(a684)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_201]),c_0_202]) ).
cnf(c_0_265,negated_conjecture,
( epred24_0
| c1_1(a684)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_201]),c_0_202]) ).
cnf(c_0_266,negated_conjecture,
( c3_1(a679)
| ~ hskp8 ),
clause81 ).
cnf(c_0_267,negated_conjecture,
( c1_1(a679)
| ~ hskp8 ),
clause80 ).
cnf(c_0_268,negated_conjecture,
( ~ c0_1(a679)
| ~ hskp8 ),
clause118 ).
cnf(c_0_269,negated_conjecture,
( epred30_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_204]) ).
cnf(c_0_270,negated_conjecture,
( epred2_0
| ~ c1_1(a681)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).
cnf(c_0_271,negated_conjecture,
( epred24_0
| c1_1(a681)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_208]),c_0_207]) ).
cnf(c_0_272,negated_conjecture,
( epred22_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_209]) ).
cnf(c_0_273,negated_conjecture,
( ~ epred36_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_210,c_0_138]),c_0_95]) ).
cnf(c_0_274,negated_conjecture,
( epred18_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_214]) ).
cnf(c_0_275,negated_conjecture,
( hskp29
| hskp0
| hskp16 ),
clause39 ).
cnf(c_0_276,negated_conjecture,
( ~ c3_1(a668)
| ~ hskp0 ),
clause134 ).
cnf(c_0_277,negated_conjecture,
( epred5_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_93])]) ).
cnf(c_0_278,negated_conjecture,
( ~ c2_1(a668)
| ~ hskp0 ),
clause133 ).
cnf(c_0_279,negated_conjecture,
( epred2_0
| ~ c1_1(a700)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_216]),c_0_217]) ).
cnf(c_0_280,negated_conjecture,
( epred13_0
| c1_1(a700)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_216]),c_0_217]) ).
cnf(c_0_281,negated_conjecture,
( epred11_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_219]) ).
cnf(c_0_282,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_220]) ).
cnf(c_0_283,negated_conjecture,
( c0_1(a674)
| ~ hskp6 ),
clause84 ).
cnf(c_0_284,negated_conjecture,
( epred2_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_221]),c_0_171]),c_0_172]) ).
cnf(c_0_285,negated_conjecture,
( hskp28
| hskp19
| hskp9 ),
clause34 ).
cnf(c_0_286,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp19
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause153 ).
cnf(c_0_287,negated_conjecture,
( epred55_0
| epred35_0
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_222]) ).
cnf(c_0_288,negated_conjecture,
( ~ c0_1(a703)
| ~ hskp17 ),
clause105 ).
cnf(c_0_289,negated_conjecture,
( c1_1(a703)
| ~ hskp17 ),
clause66 ).
cnf(c_0_290,negated_conjecture,
( c2_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
clause199 ).
cnf(c_0_291,negated_conjecture,
( c1_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause201 ).
cnf(c_0_292,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause202 ).
cnf(c_0_293,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause200 ).
cnf(c_0_294,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3) ),
clause195 ).
cnf(c_0_295,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause193 ).
cnf(c_0_296,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
clause192 ).
cnf(c_0_297,negated_conjecture,
( c0_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause189 ).
cnf(c_0_298,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause186 ).
cnf(c_0_299,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause183 ).
cnf(c_0_300,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp19
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause185 ).
cnf(c_0_301,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp7
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause168 ).
cnf(c_0_302,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause171 ).
cnf(c_0_303,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause166 ).
cnf(c_0_304,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause162 ).
cnf(c_0_305,negated_conjecture,
( c1_1(a680)
| c3_1(a680)
| hskp15
| hskp29
| epred36_0
| hskp28
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_306,negated_conjecture,
( c1_1(a680)
| c3_1(a680)
| hskp19
| hskp20
| epred36_0
| hskp28
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_225,c_0_224]) ).
cnf(c_0_307,negated_conjecture,
( epred35_0
| epred29_0
| epred15_0
| epred23_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_308,negated_conjecture,
( epred35_0
| c0_1(a710)
| epred21_0
| hskp12
| ~ c1_1(a710)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_127,c_0_228]) ).
cnf(c_0_309,negated_conjecture,
( c2_1(a711)
| hskp10
| hskp28
| epred10_0
| ~ c1_1(a711)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_310,negated_conjecture,
( c1_1(a731)
| c3_1(a731)
| hskp15
| hskp29
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_223,c_0_231]) ).
cnf(c_0_311,negated_conjecture,
( c1_1(a702)
| c0_1(a702)
| hskp8
| hskp9
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_232,c_0_168]) ).
cnf(c_0_312,negated_conjecture,
( c2_1(a675)
| hskp10
| hskp28
| ~ c1_1(a675)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_229,c_0_128]) ).
cnf(c_0_313,negated_conjecture,
( c2_1(a675)
| hskp14
| hskp17
| ~ c1_1(a675)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_233,c_0_128]) ).
cnf(c_0_314,negated_conjecture,
( epred62_0
| c1_1(a702)
| ~ c2_1(a702)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_234,c_0_167]) ).
cnf(c_0_315,negated_conjecture,
( epred62_0
| c1_1(a674)
| ~ c2_1(a674)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_316,negated_conjecture,
( epred61_0
| c0_1(a700)
| ~ hskp15
| ~ c2_1(a700) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_317,negated_conjecture,
( epred60_0
| c0_1(a684)
| ~ hskp12
| ~ c1_1(a684) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_318,negated_conjecture,
( epred57_0
| c1_1(a680)
| ~ hskp9
| ~ c2_1(a680) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_319,negated_conjecture,
( epred54_0
| c1_1(a702)
| c0_1(a702)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_242,c_0_167]) ).
cnf(c_0_320,negated_conjecture,
( epred54_0
| c1_1(a684)
| c0_1(a684)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_242,c_0_201]) ).
cnf(c_0_321,negated_conjecture,
( epred54_0
| c1_1(a681)
| c0_1(a681)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_242,c_0_208]) ).
cnf(c_0_322,negated_conjecture,
( epred49_0
| c0_1(a710)
| hskp15
| ~ c1_1(a710)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_243,c_0_221]) ).
cnf(c_0_323,negated_conjecture,
( epred50_0
| c1_1(a731)
| ~ hskp24
| ~ c0_1(a731) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_324,negated_conjecture,
( epred42_0
| c1_1(a684)
| c2_1(a684)
| hskp16
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_246,c_0_201]) ).
cnf(c_0_325,negated_conjecture,
( epred42_0
| c1_1(a674)
| c2_1(a674)
| hskp16
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_246,c_0_235]) ).
cnf(c_0_326,negated_conjecture,
( epred41_0
| c3_1(a668)
| hskp16
| ~ c0_1(a668)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_327,negated_conjecture,
( epred39_0
| c1_1(a683)
| c2_1(a683)
| hskp19
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_249,c_0_111]) ).
cnf(c_0_328,negated_conjecture,
( epred36_0
| c1_1(a700)
| c0_1(a700)
| hskp28
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_161,c_0_216]) ).
cnf(c_0_329,negated_conjecture,
( epred51_0
| epred29_0
| epred23_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_250,c_0_227]) ).
cnf(c_0_330,negated_conjecture,
( epred43_0
| epred35_0
| epred29_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_251,c_0_166]) ).
cnf(c_0_331,negated_conjecture,
( ~ epred58_0
| ~ epred57_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_332,negated_conjecture,
( epred23_0
| epred15_0
| epred1_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_254,c_0_227]) ).
cnf(c_0_333,negated_conjecture,
( epred21_0
| hskp12
| hskp30 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_334,negated_conjecture,
( epred58_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]),c_0_260]) ).
cnf(c_0_335,negated_conjecture,
( epred51_0
| epred3_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_118,c_0_261]) ).
cnf(c_0_336,negated_conjecture,
( epred43_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_337,negated_conjecture,
( epred35_0
| epred24_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_338,negated_conjecture,
( epred35_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_266]),c_0_267]),c_0_268]) ).
cnf(c_0_339,negated_conjecture,
( epred30_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_201]),c_0_202]),c_0_238]) ).
cnf(c_0_340,negated_conjecture,
( epred24_0
| epred2_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_341,negated_conjecture,
( epred22_0
| epred3_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_272]) ).
cnf(c_0_342,negated_conjecture,
( epred22_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_150]) ).
cnf(c_0_343,negated_conjecture,
( epred18_0
| hskp0
| hskp16 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_344,negated_conjecture,
( epred18_0
| ~ c1_1(a681)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_208]),c_0_206]) ).
cnf(c_0_345,negated_conjecture,
( epred5_0
| c0_1(a668)
| hskp6
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278]) ).
cnf(c_0_346,negated_conjecture,
( epred13_0
| epred2_0
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_347,negated_conjecture,
( epred11_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_281]),c_0_216]),c_0_217]) ).
cnf(c_0_348,negated_conjecture,
( epred6_0
| ~ c1_1(a684)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_282]),c_0_202]) ).
cnf(c_0_349,negated_conjecture,
( epred4_0
| ~ c0_1(a702)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_167]),c_0_168]) ).
cnf(c_0_350,negated_conjecture,
( epred4_0
| ~ c2_1(a674)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_235]),c_0_283]) ).
cnf(c_0_351,negated_conjecture,
( epred3_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_212]),c_0_213]),c_0_214]) ).
cnf(c_0_352,negated_conjecture,
( epred2_0
| hskp9
| hskp28 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_353,negated_conjecture,
( c1_1(X1)
| hskp19
| hskp24
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_93])]) ).
cnf(c_0_354,negated_conjecture,
( epred55_0
| epred35_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_287]),c_0_171]) ).
cnf(c_0_355,negated_conjecture,
( epred55_0
| epred35_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_287]),c_0_289]) ).
cnf(c_0_356,negated_conjecture,
( ~ epred54_0
| ~ epred15_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_290,c_0_182]),c_0_115]),c_0_95]) ).
cnf(c_0_357,negated_conjecture,
( ~ epred62_0
| ~ epred6_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_179]),c_0_220]),c_0_95]) ).
cnf(c_0_358,negated_conjecture,
( ~ epred61_0
| ~ epred43_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_292,c_0_180]),c_0_116]),c_0_122]) ).
cnf(c_0_359,negated_conjecture,
( ~ epred60_0
| ~ epred35_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_293,c_0_181]),c_0_116]),c_0_157]) ).
cnf(c_0_360,negated_conjecture,
( ~ epred55_0
| ~ epred51_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_294,c_0_159]),c_0_130]),c_0_115]) ).
cnf(c_0_361,negated_conjecture,
( ~ epred54_0
| ~ epred35_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_295,c_0_182]),c_0_100]),c_0_116]) ).
cnf(c_0_362,negated_conjecture,
( ~ epred51_0
| ~ epred50_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_296,c_0_184]),c_0_158]),c_0_130]) ).
cnf(c_0_363,negated_conjecture,
( ~ epred49_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_297,c_0_183]),c_0_122]) ).
cnf(c_0_364,negated_conjecture,
( ~ epred43_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_298,c_0_185]),c_0_122]) ).
cnf(c_0_365,negated_conjecture,
( ~ epred41_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_299,c_0_186]),c_0_116]) ).
cnf(c_0_366,negated_conjecture,
( ~ epred39_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_300,c_0_187]),c_0_157]) ).
cnf(c_0_367,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_301,c_0_129]),c_0_204]) ).
cnf(c_0_368,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_302,c_0_142]),c_0_100]) ).
cnf(c_0_369,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_303,c_0_143]),c_0_219]) ).
cnf(c_0_370,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304,c_0_215]),c_0_220]) ).
cnf(c_0_371,negated_conjecture,
( ~ c1_1(a674)
| ~ hskp6 ),
clause120 ).
cnf(c_0_372,negated_conjecture,
( ~ c1_1(a731)
| ~ hskp24 ),
clause95 ).
cnf(c_0_373,plain,
$false,
inference(cdclpropres,[status(thm)],[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_330,c_0_166,c_0_331,c_0_192,c_0_332,c_0_227,c_0_333,c_0_334,c_0_335,c_0_336,c_0_199,c_0_152,c_0_337,c_0_264,c_0_338,c_0_339,c_0_340,c_0_341,c_0_133,c_0_342,c_0_150,c_0_343,c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_113,c_0_349,c_0_350,c_0_104,c_0_351,c_0_352,c_0_284,c_0_279,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_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_273,c_0_367,c_0_114,c_0_252,c_0_368,c_0_369,c_0_370,c_0_148,c_0_262,c_0_276,c_0_371,c_0_124,c_0_163,c_0_240,c_0_207,c_0_112,c_0_238,c_0_202,c_0_217,c_0_169,c_0_172,c_0_176,c_0_372,c_0_244,c_0_126,c_0_171,c_0_175,c_0_97,c_0_162,c_0_216,c_0_168,c_0_98,c_0_231,c_0_102,c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN511-1 : 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 : n014.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 08:38:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 4.79/3.37 % Version : CSE_E---1.7
% 4.79/3.37 % Problem : theBenchmark.p
% 4.79/3.37 % SZS status Unsatisfiable for theBenchmark.p
% 4.79/3.37 % SZS output start CNFRefutation
% See solution above
% 4.79/3.39 % Total time : 2.372s
%------------------------------------------------------------------------------