%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:14 PM UTC 2026
% Result : Unsatisfiable 12.83s 2.30s
% Output : CNFRefutation 13.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 121
% Syntax : Number of formulae : 458 ( 2 unt; 0 def)
% Number of atoms : 1740 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2219 ( 937 ~;1249 |; 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 : 235 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause3,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause20,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause33,negated_conjecture,
( hskp11
| hskp30
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause44,negated_conjecture,
( ~ hskp30
| c3_1(a753) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause43,negated_conjecture,
( ~ hskp30
| c2_1(a753) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause42,negated_conjecture,
( ~ hskp30
| c0_1(a753) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause50,negated_conjecture,
( ~ hskp28
| c3_1(a678) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause49,negated_conjecture,
( ~ hskp28
| c1_1(a678) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( ~ hskp28
| c0_1(a678) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause76,negated_conjecture,
( ~ hskp11
| c3_1(a683) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause75,negated_conjecture,
( ~ hskp11
| c0_1(a683) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause114,negated_conjecture,
( ~ hskp11
| ~ c2_1(a683) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause119,negated_conjecture,
( ~ hskp7
| ~ c2_1(a675) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause82,negated_conjecture,
( ~ hskp7
| c1_1(a675) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause83,negated_conjecture,
( ~ hskp7
| c3_1(a675) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause191,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause198,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause149,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp15
| hskp29
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(clause79,negated_conjecture,
( ~ hskp9
| c2_1(a680) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause116,negated_conjecture,
( ~ hskp9
| ~ c1_1(a680) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp20
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause68,negated_conjecture,
( ~ hskp16
| c3_1(a702) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause67,negated_conjecture,
( ~ hskp16
| c2_1(a702) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause107,negated_conjecture,
( ~ hskp16
| ~ c1_1(a702) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause63,negated_conjecture,
( ~ hskp19
| c1_1(a710) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause102,negated_conjecture,
( ~ hskp19
| ~ c0_1(a710) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause155,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp28
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(clause62,negated_conjecture,
( ~ hskp20
| c1_1(a711) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause101,negated_conjecture,
( ~ hskp20
| ~ c2_1(a711) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp9
| hskp8
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause167,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp11
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause54,negated_conjecture,
( ~ hskp26
| c1_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause90,negated_conjecture,
( ~ hskp26
| ~ c0_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause91,negated_conjecture,
( ~ hskp26
| ~ c3_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause174,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause74,negated_conjecture,
( ~ hskp12
| c3_1(a684) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause112,negated_conjecture,
( ~ hskp12
| ~ c0_1(a684) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause77,negated_conjecture,
( ~ hskp10
| c2_1(a681) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause115,negated_conjecture,
( ~ hskp10
| ~ c0_1(a681) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause78,negated_conjecture,
( ~ hskp10
| c3_1(a681) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause179,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp28
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause47,negated_conjecture,
( ~ hskp29
| c3_1(a725) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause46,negated_conjecture,
( ~ hskp29
| c2_1(a725) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause45,negated_conjecture,
( ~ hskp29
| c1_1(a725) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause69,negated_conjecture,
( ~ hskp15
| c2_1(a700) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause108,negated_conjecture,
( ~ hskp15
| ~ c0_1(a700) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause64,negated_conjecture,
( ~ hskp19
| c2_1(a710) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause55,negated_conjecture,
( ~ hskp24
| c0_1(a731) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause85,negated_conjecture,
( ~ hskp6
| c3_1(a674) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause109,negated_conjecture,
( ~ hskp15
| ~ c3_1(a700) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause113,negated_conjecture,
( ~ hskp12
| ~ c2_1(a684) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause117,negated_conjecture,
( ~ hskp9
| ~ c3_1(a680) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause96,negated_conjecture,
( ~ hskp24
| ~ c3_1(a731) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause89,negated_conjecture,
( ~ hskp0
| c1_1(a668) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause110,negated_conjecture,
( ~ hskp14
| ~ c3_1(a696) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause70,negated_conjecture,
( ~ hskp14
| c0_1(a696) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause71,negated_conjecture,
( ~ hskp14
| c2_1(a696) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause81,negated_conjecture,
( ~ hskp8
| c3_1(a679) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause80,negated_conjecture,
( ~ hskp8
| c1_1(a679) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause118,negated_conjecture,
( ~ hskp8
| ~ c0_1(a679) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause134,negated_conjecture,
( ~ hskp0
| ~ c3_1(a668) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause133,negated_conjecture,
( ~ hskp0
| ~ c2_1(a668) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause84,negated_conjecture,
( ~ hskp6
| c0_1(a674) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp24
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
cnf(clause105,negated_conjecture,
( ~ hskp17
| ~ c0_1(a703) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause66,negated_conjecture,
( ~ hskp17
| c1_1(a703) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause199,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause201,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
cnf(clause202,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause200,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
cnf(clause195,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause193,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause192,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause189,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause186,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause183,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause185,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause168,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp7
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause171,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause166,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp10
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
cnf(clause162,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause36,negated_conjecture,
( hskp12
| hskp26
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause39,negated_conjecture,
( hskp16
| hskp0
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause34,negated_conjecture,
( hskp9
| hskp19
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause120,negated_conjecture,
( ~ hskp6
| ~ c1_1(a674) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause95,negated_conjecture,
( ~ hskp24
| ~ c1_1(a731) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(c_0_88,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_89,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause3]) ).
cnf(c_0_90,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause20]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
c_0_88 ).
cnf(c_0_92,negated_conjecture,
( hskp11
| hskp30
| hskp28 ),
clause33 ).
cnf(c_0_93,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
c_0_89 ).
cnf(c_0_94,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
c_0_90 ).
fof(c_0_95,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_96,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( ~ hskp30
| c3_1(a753) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_98,negated_conjecture,
( ~ hskp30
| c2_1(a753) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
fof(c_0_99,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp11 ) ),
introduced(definition) ).
fof(c_0_100,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_101,negated_conjecture,
( ~ hskp30
| c0_1(a753) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_102,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_95]),c_0_96])]) ).
cnf(c_0_103,negated_conjecture,
( ~ hskp30
| c3_1(a753) ),
c_0_97 ).
cnf(c_0_104,negated_conjecture,
( ~ hskp30
| c2_1(a753) ),
c_0_98 ).
cnf(c_0_105,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp11
| c1_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_99]),c_0_96])]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp28
| c3_1(a678) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_107,negated_conjecture,
( ~ hskp28
| c1_1(a678) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
fof(c_0_108,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_109,negated_conjecture,
( ~ hskp28
| c0_1(a678) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_110,negated_conjecture,
( ~ hskp11
| c3_1(a683) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_111,negated_conjecture,
( ~ hskp11
| c0_1(a683) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_112,negated_conjecture,
( ~ hskp11
| ~ c2_1(a683) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_113,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_100]) ).
cnf(c_0_114,negated_conjecture,
( ~ hskp30
| c0_1(a753) ),
c_0_101 ).
fof(c_0_115,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_116,negated_conjecture,
( ~ hskp30
| ~ c1_1(a753)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_117,negated_conjecture,
( ~ hskp30
| hskp11
| c1_1(a753)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_104]) ).
cnf(c_0_118,negated_conjecture,
( ~ hskp28
| c3_1(a678) ),
c_0_106 ).
cnf(c_0_119,negated_conjecture,
( ~ hskp28
| c1_1(a678) ),
c_0_107 ).
cnf(c_0_120,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred22_0 ),
inference(split_equiv,[status(thm)],[c_0_108]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp28
| c0_1(a678) ),
c_0_109 ).
cnf(c_0_122,negated_conjecture,
( ~ hskp11
| c3_1(a683) ),
c_0_110 ).
cnf(c_0_123,negated_conjecture,
( ~ hskp11
| c0_1(a683) ),
c_0_111 ).
cnf(c_0_124,negated_conjecture,
( ~ hskp11
| ~ c2_1(a683) ),
c_0_112 ).
cnf(c_0_125,negated_conjecture,
( ~ hskp30
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_103]),c_0_114]),c_0_104]) ).
cnf(c_0_126,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_96])]) ).
cnf(c_0_127,negated_conjecture,
( ~ hskp7
| ~ c2_1(a675) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
fof(c_0_128,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp7
| c1_1(a675) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
fof(c_0_130,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp7
| c3_1(a675) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_132,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp30
| hskp11
| epred3_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp28
| ~ c2_1(a678)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_118]),c_0_119]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp28
| c2_1(a678)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_118]),c_0_121]) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp11
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_137,negated_conjecture,
( hskp28
| hskp11
| epred4_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_92]) ).
fof(c_0_138,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp30
| c1_1(a753)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_103]),c_0_114]) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp7
| ~ c2_1(a675) ),
c_0_127 ).
cnf(c_0_141,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_128]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp7
| c1_1(a675) ),
c_0_129 ).
cnf(c_0_143,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred35_0 ),
inference(split_equiv,[status(thm)],[c_0_130]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp7
| c3_1(a675) ),
c_0_131 ).
fof(c_0_145,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp7 ) ),
introduced(definition) ).
fof(c_0_146,plain,
( ~ epred51_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_147,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_148,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
c_0_132 ).
cnf(c_0_149,negated_conjecture,
( hskp28
| hskp11
| epred3_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_92]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp28
| epred3_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp28
| ~ c2_1(a678)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_118]),c_0_121]) ).
cnf(c_0_152,negated_conjecture,
( hskp28
| epred4_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_153,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp30
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_139]) ).
cnf(c_0_155,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp15
| hskp29
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
fof(c_0_156,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp28 ) ),
introduced(definition) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp9
| c2_1(a680) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp9
| ~ c1_1(a680) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_159,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp20
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp7
| ~ c0_1(a675)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp7
| c0_1(a675)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_142]) ).
cnf(c_0_162,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp7
| c2_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_96])]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp16
| c3_1(a702) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp16
| c2_1(a702) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp16
| ~ c1_1(a702) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
fof(c_0_166,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp19
| c1_1(a710) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp19
| ~ c0_1(a710) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_169,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp28
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause155]) ).
fof(c_0_170,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp20
| c1_1(a711) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp20
| ~ c2_1(a711) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_173,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp9
| hskp8
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_174,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_175,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred51_0 ),
inference(split_equiv,[status(thm)],[c_0_146]) ).
cnf(c_0_176,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp11
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
fof(c_0_177,plain,
( ~ epred57_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_178,plain,
( ~ epred58_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
c_0_147 ).
cnf(c_0_180,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_148,c_0_95]),c_0_100]) ).
cnf(c_0_181,negated_conjecture,
( epred3_0
| epred22_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_149]),c_0_150]) ).
cnf(c_0_182,negated_conjecture,
( epred4_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_135]),c_0_152]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp26
| c1_1(a762) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp26
| ~ c0_1(a762) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp26
| ~ c3_1(a762) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_186,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp30
| ~ c1_1(a753)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_103]),c_0_114]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp11
| ~ c1_1(a683)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_122]),c_0_123]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp11
| c1_1(a683)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_122]),c_0_123]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp12
| c3_1(a684) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp12
| ~ c0_1(a684) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
fof(c_0_192,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_193,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp10
| c2_1(a681) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp10
| ~ c0_1(a681) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp10
| c3_1(a681) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_197,negated_conjecture,
( hskp28
| hskp11
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_92]) ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp28
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
fof(c_0_199,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp29
| c3_1(a725) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp29
| c2_1(a725) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp29
| c1_1(a725) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp15
| c2_1(a700) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp15
| ~ c0_1(a700) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
fof(c_0_205,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp19
| c2_1(a710) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
fof(c_0_207,plain,
( ~ epred55_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_208,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp15
| hskp29
| c3_1(X1)
| c1_1(X1) ),
c_0_155 ).
cnf(c_0_209,negated_conjecture,
( ~ c2_1(X1)
| hskp28
| c0_1(X1)
| c1_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_156]),c_0_96])]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp9
| c2_1(a680) ),
c_0_157 ).
cnf(c_0_211,negated_conjecture,
( ~ hskp9
| ~ c1_1(a680) ),
c_0_158 ).
cnf(c_0_212,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp20
| c3_1(X1)
| c1_1(X1) ),
c_0_159 ).
cnf(c_0_213,negated_conjecture,
( ~ hskp7
| epred15_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp11
| hskp7
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp16
| c3_1(a702) ),
c_0_163 ).
cnf(c_0_216,negated_conjecture,
( ~ hskp16
| c2_1(a702) ),
c_0_164 ).
cnf(c_0_217,negated_conjecture,
( ~ hskp16
| ~ c1_1(a702) ),
c_0_165 ).
cnf(c_0_218,negated_conjecture,
( ~ c1_1(X1)
| hskp12
| c0_1(X1)
| c3_1(X1)
| epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_96])]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp19
| c1_1(a710) ),
c_0_167 ).
cnf(c_0_220,negated_conjecture,
( ~ hskp19
| ~ c0_1(a710) ),
c_0_168 ).
cnf(c_0_221,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp28
| c2_1(X1) ),
c_0_169 ).
cnf(c_0_222,negated_conjecture,
( ~ c1_1(X1)
| hskp10
| c2_1(X1)
| c3_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_96])]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp20
| c1_1(a711) ),
c_0_171 ).
cnf(c_0_224,negated_conjecture,
( ~ hskp20
| ~ c2_1(a711) ),
c_0_172 ).
cnf(c_0_225,negated_conjecture,
( ~ hskp24
| c0_1(a731) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_226,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp9
| hskp8
| c1_1(X1)
| c0_1(X1) ),
c_0_173 ).
cnf(c_0_227,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c2_1(X1) ),
c_0_174 ).
fof(c_0_228,plain,
( ~ epred62_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp6
| c3_1(a674) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp15
| ~ c3_1(a700) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
fof(c_0_231,plain,
( ~ epred61_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp12
| ~ c2_1(a684) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
fof(c_0_233,plain,
( ~ epred60_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp9
| ~ c3_1(a680) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
fof(c_0_235,plain,
( ~ epred54_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_236,plain,
( ~ epred49_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp15 ) ),
introduced(definition) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp24
| ~ c3_1(a731) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
fof(c_0_238,plain,
( ~ epred50_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_239,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| hskp16 ) ),
introduced(definition) ).
fof(c_0_240,plain,
( ~ epred41_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp0
| c1_1(a668) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
fof(c_0_242,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| hskp19 ) ),
introduced(definition) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp7
| epred51_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_144]),c_0_142]),c_0_140]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp7
| ~ c0_1(a675)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_144]),c_0_142]) ).
cnf(c_0_245,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp11
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_176 ).
cnf(c_0_246,negated_conjecture,
( ~ epred22_0
| ~ epred57_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_179,c_0_177]),c_0_178]),c_0_108]) ).
cnf(c_0_247,negated_conjecture,
( epred22_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp11
| ~ c1_1(a683)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_141]),c_0_123]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp26
| c1_1(a762) ),
c_0_183 ).
cnf(c_0_250,negated_conjecture,
( ~ hskp26
| ~ c0_1(a762) ),
c_0_184 ).
cnf(c_0_251,negated_conjecture,
( ~ hskp26
| ~ c3_1(a762) ),
c_0_185 ).
cnf(c_0_252,negated_conjecture,
( ~ hskp14
| ~ c3_1(a696) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp14
| c0_1(a696) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_254,negated_conjecture,
( ~ hskp14
| c2_1(a696) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_255,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c0_1(X2)
| c1_1(X1) ),
c_0_186 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp30
| epred1_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_139]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp28
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_118]),c_0_121]),c_0_119]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp11
| epred1_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp12
| c3_1(a684) ),
c_0_190 ).
cnf(c_0_260,negated_conjecture,
( ~ hskp12
| ~ c0_1(a684) ),
c_0_191 ).
cnf(c_0_261,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_192]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp8
| c3_1(a679) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp8
| c1_1(a679) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp8
| ~ c0_1(a679) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
fof(c_0_265,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_266,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_193]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp10
| c2_1(a681) ),
c_0_194 ).
cnf(c_0_268,negated_conjecture,
( ~ hskp10
| ~ c0_1(a681) ),
c_0_195 ).
cnf(c_0_269,negated_conjecture,
( ~ hskp10
| c3_1(a681) ),
c_0_196 ).
cnf(c_0_270,negated_conjecture,
( hskp28
| epred1_0
| epred3_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_136,c_0_197]) ).
cnf(c_0_271,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp28
| c1_1(X2)
| c0_1(X2) ),
c_0_198 ).
cnf(c_0_272,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_199]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp29
| c3_1(a725) ),
c_0_200 ).
cnf(c_0_274,negated_conjecture,
( ~ hskp29
| c2_1(a725) ),
c_0_201 ).
cnf(c_0_275,negated_conjecture,
( ~ hskp29
| c1_1(a725) ),
c_0_202 ).
cnf(c_0_276,negated_conjecture,
( ~ hskp0
| ~ c3_1(a668) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
fof(c_0_277,plain,
( ~ epred5_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp0
| ~ c2_1(a668) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp15
| c2_1(a700) ),
c_0_203 ).
cnf(c_0_280,negated_conjecture,
( ~ hskp15
| ~ c0_1(a700) ),
c_0_204 ).
cnf(c_0_281,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_205]) ).
fof(c_0_282,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_283,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp6
| c0_1(a674) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp19
| c2_1(a710) ),
c_0_206 ).
cnf(c_0_286,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp24
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_287,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_96])]) ).
cnf(c_0_288,negated_conjecture,
( ~ hskp17
| ~ c0_1(a703) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_289,negated_conjecture,
( ~ hskp17
| c1_1(a703) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_290,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_291,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause201]) ).
cnf(c_0_292,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_293,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause200]) ).
cnf(c_0_294,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_295,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_296,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_297,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_298,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_299,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_300,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_301,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp7
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_302,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_303,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp10
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_304,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_305,negated_conjecture,
( ~ c0_1(X1)
| hskp29
| hskp15
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_96])]) ).
cnf(c_0_306,negated_conjecture,
( ~ hskp9
| hskp28
| c0_1(a680)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_307,negated_conjecture,
( ~ c0_1(X1)
| hskp20
| hskp19
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_96])]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp11
| epred15_0
| epred29_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_309,negated_conjecture,
( ~ hskp16
| hskp11
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_215]),c_0_216]),c_0_217]) ).
cnf(c_0_310,negated_conjecture,
( ~ hskp19
| hskp12
| c3_1(a710)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_311,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp28
| hskp10
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_96])]) ).
cnf(c_0_312,negated_conjecture,
( ~ hskp20
| hskp10
| c3_1(a711)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).
cnf(c_0_313,negated_conjecture,
( ~ hskp24
| c0_1(a731) ),
c_0_225 ).
cnf(c_0_314,negated_conjecture,
( ~ c2_1(X1)
| hskp9
| hskp8
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_96])]) ).
cnf(c_0_315,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp14
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_96])]) ).
cnf(c_0_316,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred62_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_228]),c_0_96])]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp6
| c3_1(a674) ),
c_0_229 ).
cnf(c_0_318,negated_conjecture,
( ~ hskp15
| ~ c3_1(a700) ),
c_0_230 ).
cnf(c_0_319,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred61_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_231]),c_0_96])]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp12
| ~ c2_1(a684) ),
c_0_232 ).
cnf(c_0_321,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred60_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_233]),c_0_96])]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp9
| ~ c3_1(a680) ),
c_0_234 ).
cnf(c_0_323,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred57_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_177]),c_0_96])]) ).
cnf(c_0_324,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_96])]) ).
cnf(c_0_325,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp15
| c0_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_96])]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp24
| ~ c3_1(a731) ),
c_0_237 ).
cnf(c_0_327,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_238]),c_0_96])]) ).
cnf(c_0_328,negated_conjecture,
( ~ c3_1(X1)
| hskp16
| c2_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_239]),c_0_96])]) ).
cnf(c_0_329,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp16
| c3_1(X1)
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_96])]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp0
| c1_1(a668) ),
c_0_241 ).
cnf(c_0_331,negated_conjecture,
( ~ c0_1(X1)
| hskp19
| c2_1(X1)
| c1_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_242]),c_0_96])]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp11
| epred29_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_243,c_0_214]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp7
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_161]) ).
cnf(c_0_334,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_245,c_0_99]),c_0_192]) ).
cnf(c_0_335,negated_conjecture,
( ~ epred57_0
| ~ epred58_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp11
| epred1_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_189]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp26
| hskp12
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_249]),c_0_250]),c_0_251]) ).
cnf(c_0_338,negated_conjecture,
( hskp12
| hskp26
| hskp30 ),
clause36 ).
cnf(c_0_339,negated_conjecture,
( ~ hskp14
| ~ c3_1(a696) ),
c_0_252 ).
cnf(c_0_340,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred58_0 ),
inference(split_equiv,[status(thm)],[c_0_178]) ).
cnf(c_0_341,negated_conjecture,
( ~ hskp14
| c0_1(a696) ),
c_0_253 ).
cnf(c_0_342,negated_conjecture,
( ~ hskp14
| c2_1(a696) ),
c_0_254 ).
cnf(c_0_343,negated_conjecture,
( ~ hskp28
| c2_1(a678)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_118]),c_0_119]) ).
cnf(c_0_344,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_255,c_0_115]),c_0_193]) ).
cnf(c_0_345,negated_conjecture,
( epred1_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_92]),c_0_257]),c_0_258]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp12
| ~ c1_1(a684)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_259]),c_0_260]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp12
| c1_1(a684)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_259]),c_0_260]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp8
| c3_1(a679) ),
c_0_262 ).
cnf(c_0_349,negated_conjecture,
( ~ hskp8
| c1_1(a679) ),
c_0_263 ).
cnf(c_0_350,negated_conjecture,
( ~ hskp8
| ~ c0_1(a679) ),
c_0_264 ).
cnf(c_0_351,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_265]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp10
| ~ c1_1(a681)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp10
| c1_1(a681)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_269]),c_0_268]) ).
cnf(c_0_354,negated_conjecture,
( epred1_0
| epred3_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_270]) ).
cnf(c_0_355,negated_conjecture,
( ~ epred4_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_271,c_0_156]),c_0_100]) ).
cnf(c_0_356,negated_conjecture,
( ~ hskp29
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]),c_0_275]) ).
cnf(c_0_357,negated_conjecture,
( hskp16
| hskp0
| hskp29 ),
clause39 ).
cnf(c_0_358,negated_conjecture,
( ~ hskp0
| ~ c3_1(a668) ),
c_0_276 ).
cnf(c_0_359,negated_conjecture,
( hskp6
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_277]),c_0_96])]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp0
| ~ c2_1(a668) ),
c_0_278 ).
cnf(c_0_361,negated_conjecture,
( ~ hskp15
| ~ c1_1(a700)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_279]),c_0_280]) ).
cnf(c_0_362,negated_conjecture,
( ~ hskp15
| c1_1(a700)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_279]),c_0_280]) ).
cnf(c_0_363,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_282]) ).
cnf(c_0_364,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_283]) ).
cnf(c_0_365,negated_conjecture,
( ~ hskp6
| c0_1(a674) ),
c_0_284 ).
cnf(c_0_366,negated_conjecture,
( ~ hskp19
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_285]),c_0_219]),c_0_220]) ).
cnf(c_0_367,negated_conjecture,
( hskp9
| hskp19
| hskp28 ),
clause34 ).
cnf(c_0_368,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp24
| c1_1(X1) ),
c_0_286 ).
cnf(c_0_369,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| epred35_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_287]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp17
| ~ c0_1(a703) ),
c_0_288 ).
cnf(c_0_371,negated_conjecture,
( ~ hskp17
| c1_1(a703) ),
c_0_289 ).
cnf(c_0_372,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2) ),
c_0_290 ).
cnf(c_0_373,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2) ),
c_0_291 ).
cnf(c_0_374,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c0_1(X2) ),
c_0_292 ).
cnf(c_0_375,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2) ),
c_0_293 ).
cnf(c_0_376,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c2_1(X1) ),
c_0_294 ).
cnf(c_0_377,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
c_0_295 ).
cnf(c_0_378,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_296 ).
cnf(c_0_379,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2) ),
c_0_297 ).
cnf(c_0_380,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| c2_1(X2)
| c1_1(X2) ),
c_0_298 ).
cnf(c_0_381,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp16
| c0_1(X2)
| c3_1(X1) ),
c_0_299 ).
cnf(c_0_382,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp19
| c2_1(X2)
| c1_1(X2) ),
c_0_300 ).
cnf(c_0_383,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp7
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_301 ).
cnf(c_0_384,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_302 ).
cnf(c_0_385,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp10
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_303 ).
cnf(c_0_386,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_304 ).
cnf(c_0_387,negated_conjecture,
( ~ hskp6
| ~ c1_1(a674) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp24
| ~ c1_1(a731) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp9
| hskp28
| epred36_0
| hskp29
| hskp15
| c3_1(a680)
| c1_1(a680) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp9
| hskp28
| epred36_0
| hskp20
| hskp19
| c3_1(a680)
| c1_1(a680) ),
inference(spm,[status(thm)],[c_0_307,c_0_306]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp16
| epred23_0
| epred15_0
| epred29_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp19
| ~ c1_1(a710)
| hskp12
| epred21_0
| c0_1(a710)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_310]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp20
| ~ c1_1(a711)
| epred10_0
| hskp28
| hskp10
| c2_1(a711) ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp24
| hskp29
| hskp15
| c3_1(a731)
| c1_1(a731) ),
inference(spm,[status(thm)],[c_0_305,c_0_313]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp16
| hskp9
| hskp8
| c0_1(a702)
| c1_1(a702) ),
inference(spm,[status(thm)],[c_0_314,c_0_216]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp7
| ~ c1_1(a675)
| hskp28
| hskp10
| c2_1(a675) ),
inference(spm,[status(thm)],[c_0_311,c_0_144]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp7
| ~ c1_1(a675)
| hskp17
| hskp14
| c2_1(a675) ),
inference(spm,[status(thm)],[c_0_315,c_0_144]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp16
| ~ c2_1(a702)
| c1_1(a702)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_316,c_0_215]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp6
| ~ c2_1(a674)
| c1_1(a674)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_400,negated_conjecture,
( ~ c2_1(a700)
| ~ hskp15
| c0_1(a700)
| epred61_0 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_401,negated_conjecture,
( ~ c1_1(a684)
| ~ hskp12
| c0_1(a684)
| epred60_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_402,negated_conjecture,
( ~ c2_1(a680)
| ~ hskp9
| c1_1(a680)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp16
| c0_1(a702)
| c1_1(a702)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_215]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp12
| c0_1(a684)
| c1_1(a684)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_259]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp10
| c0_1(a681)
| c1_1(a681)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_269]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp19
| ~ c1_1(a710)
| hskp15
| c0_1(a710)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_285]) ).
cnf(c_0_407,negated_conjecture,
( ~ c0_1(a731)
| ~ hskp24
| c1_1(a731)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp12
| hskp16
| c2_1(a684)
| c1_1(a684)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_259]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp6
| hskp16
| c2_1(a674)
| c1_1(a674)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_317]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp0
| ~ c0_1(a668)
| hskp16
| c3_1(a668)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp11
| hskp19
| c2_1(a683)
| c1_1(a683)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_123]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp15
| hskp28
| c0_1(a700)
| c1_1(a700)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_279]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp16
| epred23_0
| epred29_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_309]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp11
| epred29_0
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_214]) ).
cnf(c_0_415,negated_conjecture,
( ~ epred24_0
| ~ epred57_0
| ~ epred58_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp16
| epred1_0
| epred15_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_309]) ).
cnf(c_0_417,negated_conjecture,
( hskp30
| hskp12
| epred21_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp14
| epred58_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]),c_0_342]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp28
| epred3_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_343]) ).
cnf(c_0_420,negated_conjecture,
( ~ epred2_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp12
| epred24_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp8
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_348]),c_0_349]),c_0_350]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp12
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_259]),c_0_260]),c_0_320]) ).
cnf(c_0_424,negated_conjecture,
( ~ hskp10
| epred2_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_425,negated_conjecture,
( ~ epred2_0
| epred3_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_354]) ).
cnf(c_0_426,negated_conjecture,
( ~ epred36_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_182]) ).
cnf(c_0_427,negated_conjecture,
( hskp16
| hskp0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp10
| ~ c1_1(a681)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_269]),c_0_267]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp0
| hskp6
| c0_1(a668)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_360]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp15
| epred2_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp15
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_363]),c_0_279]),c_0_280]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp12
| ~ c1_1(a684)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_364]),c_0_260]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp16
| ~ c0_1(a702)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_215]),c_0_216]) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp6
| ~ c2_1(a674)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_317]),c_0_365]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp29
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_273]),c_0_274]),c_0_275]) ).
cnf(c_0_436,negated_conjecture,
( hskp28
| hskp9
| epred2_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_437,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp19
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_96])]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp19
| epred35_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_369]),c_0_219]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp17
| epred35_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_369]),c_0_371]) ).
cnf(c_0_440,negated_conjecture,
( ~ epred4_0
| ~ epred15_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_372,c_0_235]),c_0_128]),c_0_100]) ).
cnf(c_0_441,negated_conjecture,
( ~ epred4_0
| ~ epred6_0
| ~ epred62_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_373,c_0_228]),c_0_283]),c_0_100]) ).
cnf(c_0_442,negated_conjecture,
( ~ epred35_0
| ~ epred43_0
| ~ epred61_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_374,c_0_231]),c_0_130]),c_0_138]) ).
cnf(c_0_443,negated_conjecture,
( ~ epred18_0
| ~ epred35_0
| ~ epred60_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_375,c_0_233]),c_0_130]),c_0_199]) ).
cnf(c_0_444,negated_conjecture,
( ~ epred15_0
| ~ epred51_0
| ~ epred55_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_376,c_0_207]),c_0_146]),c_0_128]) ).
cnf(c_0_445,negated_conjecture,
( ~ epred22_0
| ~ epred35_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_377,c_0_235]),c_0_108]),c_0_130]) ).
cnf(c_0_446,negated_conjecture,
( ~ epred13_0
| ~ epred50_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_378,c_0_238]),c_0_205]),c_0_146]) ).
cnf(c_0_447,negated_conjecture,
( ~ epred43_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_379,c_0_236]),c_0_138]) ).
cnf(c_0_448,negated_conjecture,
( ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_380,c_0_239]),c_0_138]) ).
cnf(c_0_449,negated_conjecture,
( ~ epred35_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_381,c_0_240]),c_0_130]) ).
cnf(c_0_450,negated_conjecture,
( ~ epred18_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_382,c_0_242]),c_0_199]) ).
cnf(c_0_451,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_383,c_0_145]),c_0_265]) ).
cnf(c_0_452,negated_conjecture,
( ~ epred21_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_384,c_0_166]),c_0_108]) ).
cnf(c_0_453,negated_conjecture,
( ~ epred10_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_385,c_0_170]),c_0_282]) ).
cnf(c_0_454,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_386,c_0_277]),c_0_283]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp6
| ~ c1_1(a674) ),
c_0_387 ).
cnf(c_0_456,negated_conjecture,
( ~ hskp24
| ~ c1_1(a731) ),
c_0_388 ).
cnf(c_0_457,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_411,c_0_412,c_0_413,c_0_414,c_0_214,c_0_415,c_0_247,c_0_416,c_0_309,c_0_417,c_0_418,c_0_419,c_0_420,c_0_257,c_0_188,c_0_421,c_0_346,c_0_422,c_0_423,c_0_424,c_0_425,c_0_150,c_0_426,c_0_182,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_432,c_0_125,c_0_433,c_0_434,c_0_116,c_0_435,c_0_436,c_0_366,c_0_361,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_355,c_0_451,c_0_126,c_0_334,c_0_452,c_0_453,c_0_454,c_0_180,c_0_344,c_0_358,c_0_455,c_0_140,c_0_211,c_0_322,c_0_268,c_0_124,c_0_320,c_0_260,c_0_280,c_0_217,c_0_220,c_0_224,c_0_456,c_0_326,c_0_142,c_0_219,c_0_223,c_0_103,c_0_210,c_0_279,c_0_216,c_0_104,c_0_313,c_0_114,c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN511-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n001.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 11:10:14 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.83/2.30 % Version: 3.5.1
% 12.83/2.30 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.83/2.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.83/2.30 % Starting new_bool_3 with 300s (1) cores
% 12.83/2.30 % Starting new_bool_1 with 300s (1) cores
% 12.83/2.30 % Starting sh5l with 300s (1) cores
% 12.83/2.30 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2973028 completed with status 0
% 12.83/2.30 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.83/2.30 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.83/2.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.83/2.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.83/2.30 % No SInE strategy applied
% 12.83/2.30 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.83/2.30 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.83/2.30 % Starting SubtermCWHack with 151s (1) cores
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.83/2.30 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 12.83/2.30 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 12.83/2.30 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2973034 completed with status 0
% 12.83/2.30 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 12.83/2.30 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.83/2.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.83/2.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.83/2.30 % No SInE strategy applied
% 12.83/2.30 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.83/2.30 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.83/2.30 % Starting SubtermCWHack with 151s (1) cores
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.83/2.30 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.83/2.30 % Preprocessing time : 0.002 s
% 12.83/2.30 % SatCheck found unsatisfiable ground set
% 12.83/2.30
% 12.83/2.30 % Proof found!
% 12.83/2.30 % SZS status Unsatisfiable
% 12.83/2.30 % SZS output start CNFRefutation
% See solution above
% 13.40/2.30 % Parsed axioms : 204
% 13.40/2.30 % Removed by relevancy pruning/SinE : 0
% 13.40/2.30 % Initial clauses : 204
% 13.40/2.30 % Removed in clause preprocessing : 0
% 13.40/2.30 % Initial clauses in saturation : 204
% 13.40/2.30 % Processed clauses : 7103
% 13.40/2.30 % ...of these trivial : 0
% 13.40/2.30 % ...subsumed : 2103
% 13.40/2.30 % ...remaining for further processing : 5000
% 13.40/2.30 % Other redundant clauses eliminated : 0
% 13.40/2.30 % Clauses deleted for lack of memory : 0
% 13.40/2.30 % Backward-subsumed : 1534
% 13.40/2.30 % Backward-rewritten : 57
% 13.40/2.30 % Generated clauses : 62060
% 13.40/2.30 % ...of the previous two non-redundant : 58674
% 13.40/2.30 % ...aggressively subsumed : 0
% 13.40/2.30 % Contextual simplify-reflections : 616
% 13.40/2.30 % Paramodulations : 61952
% 13.40/2.30 % Factorizations : 0
% 13.40/2.30 % NegExts : 0
% 13.40/2.30 % Equation resolutions : 0
% 13.40/2.30 % Disequality decompositions : 0
% 13.40/2.30 % Total rewrite steps : 98
% 13.40/2.30 % ...of those cached : 97
% 13.40/2.30 % Propositional unsat checks : 1
% 13.40/2.30 % Propositional check models : 0
% 13.40/2.30 % Propositional check unsatisfiable : 1
% 13.40/2.30 % Propositional clauses : 54272
% 13.40/2.30 % Propositional clauses after purity: 53801
% 13.40/2.30 % Propositional unsat core size : 109
% 13.40/2.30 % Propositional preprocessing time : 0.000
% 13.40/2.30 % Propositional encoding time : 0.024
% 13.40/2.30 % Propositional solver time : 0.061
% 13.40/2.30 % Success case prop preproc time : 0.000
% 13.40/2.30 % Success case prop encoding time : 0.024
% 13.40/2.30 % Success case prop solver time : 0.061
% 13.40/2.30 % Current number of processed clauses : 3365
% 13.40/2.30 % Positive orientable unit clauses : 1
% 13.40/2.30 % Positive unorientable unit clauses: 0
% 13.40/2.30 % Negative unit clauses : 0
% 13.40/2.30 % Non-unit-clauses : 3364
% 13.40/2.30 % Current number of unprocessed clauses: 50907
% 13.40/2.30 % ...number of literals in the above : 343710
% 13.40/2.30 % Current number of archived formulas : 0
% 13.40/2.30 % Current number of archived clauses : 1591
% 13.40/2.30 % Clause-clause subsumption calls (NU) : 5413659
% 13.40/2.30 % Rec. Clause-clause subsumption calls : 336377
% 13.40/2.30 % Non-unit clause-clause subsumptions : 4327
% 13.40/2.30 % Unit Clause-clause subsumption calls : 15
% 13.40/2.30 % Rewrite failures with RHS unbound : 0
% 13.40/2.30 % BW rewrite match attempts : 1
% 13.40/2.30 % BW rewrite match successes : 1
% 13.40/2.30 % Condensation attempts : 7103
% 13.40/2.30 % Condensation successes : 0
% 13.40/2.30 % Termbank termtop insertions : 583310
% 13.40/2.30 % Search garbage collected termcells : 534
% 13.40/2.30
% 13.40/2.30 % -------------------------------------------------
% 13.40/2.30 % User time : 1.603 s
% 13.40/2.30 % System time : 0.064 s
% 13.40/2.30 % Total time : 1.667 s
% 13.40/2.30 % Maximum resident set size: 4052 pages
% 13.40/2.30
% 13.40/2.30 % -------------------------------------------------
% 13.40/2.30 % User time : 7.896 s
% 13.40/2.30 % System time : 0.217 s
% 13.40/2.30 % Total time : 8.113 s
% 13.40/2.30 % Maximum resident set size: 5120 pages
% 13.40/2.30 % E exiting
%------------------------------------------------------------------------------