%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN462-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 03:24:34 PM UTC 2026
% Result : Unsatisfiable 18.56s 3.26s
% Output : CNFRefutation 18.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 118
% Syntax : Number of formulae : 472 ( 2 unt; 0 def)
% Number of atoms : 1731 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2118 ( 859 ~;1226 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 60 ( 59 usr; 56 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 218 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause14,negated_conjecture,
( ~ hskp17
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(clause17,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(clause36,negated_conjecture,
( hskp17
| hskp14
| hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause53,negated_conjecture,
( ~ hskp27
| c3_1(a276) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause52,negated_conjecture,
( ~ hskp27
| c2_1(a276) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause51,negated_conjecture,
( ~ hskp27
| c1_1(a276) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause70,negated_conjecture,
( ~ hskp14
| c1_1(a287) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause108,negated_conjecture,
( ~ hskp14
| ~ c0_1(a287) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ hskp14
| ~ c2_1(a287) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp14
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause136,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause92,negated_conjecture,
( ~ hskp25
| ~ c3_1(a352) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause54,negated_conjecture,
( ~ hskp25
| c1_1(a352) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause91,negated_conjecture,
( ~ hskp25
| ~ c2_1(a352) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause138,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause73,negated_conjecture,
( ~ hskp12
| c2_1(a284) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause111,negated_conjecture,
( ~ hskp12
| ~ c0_1(a284) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause112,negated_conjecture,
( ~ hskp12
| ~ c3_1(a284) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause77,negated_conjecture,
( ~ hskp9
| c3_1(a280) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( ~ hskp9
| c2_1(a280) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause117,negated_conjecture,
( ~ hskp9
| ~ c1_1(a280) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause81,negated_conjecture,
( ~ hskp6
| c2_1(a273) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause80,negated_conjecture,
( ~ hskp6
| c1_1(a273) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause122,negated_conjecture,
( ~ hskp6
| ~ c0_1(a273) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause40,negated_conjecture,
( hskp12
| hskp25
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause124,negated_conjecture,
( ~ hskp5
| ~ c3_1(a272) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause123,negated_conjecture,
( ~ hskp5
| ~ c1_1(a272) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause128,negated_conjecture,
( ~ hskp3
| ~ c2_1(a270) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause83,negated_conjecture,
( ~ hskp3
| c0_1(a270) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( ~ hskp3
| c3_1(a270) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause120,negated_conjecture,
( ~ hskp8
| ~ c3_1(a275) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause118,negated_conjecture,
( ~ hskp8
| ~ c0_1(a275) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ hskp8
| ~ c2_1(a275) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause168,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp27
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause134,negated_conjecture,
( ~ hskp0
| ~ c3_1(a267) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause133,negated_conjecture,
( ~ hskp0
| ~ c2_1(a267) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause87,negated_conjecture,
( ~ hskp0
| c0_1(a267) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause121,negated_conjecture,
( ~ hskp7
| ~ c3_1(a274) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause79,negated_conjecture,
( ~ hskp7
| c1_1(a274) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause101,negated_conjecture,
( ~ hskp20
| ~ c3_1(a305) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause100,negated_conjecture,
( ~ hskp20
| ~ c0_1(a305) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp27
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp4
| hskp1
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp29
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| hskp22
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
cnf(clause132,negated_conjecture,
( ~ hskp1
| ~ c2_1(a268) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause131,negated_conjecture,
( ~ hskp1
| ~ c1_1(a268) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause82,negated_conjecture,
( ~ hskp5
| c0_1(a272) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause86,negated_conjecture,
( ~ hskp1
| c3_1(a268) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause62,negated_conjecture,
( ~ hskp19
| c2_1(a303) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause61,negated_conjecture,
( ~ hskp19
| c1_1(a303) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause78,negated_conjecture,
( ~ hskp7
| c0_1(a274) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause90,negated_conjecture,
( ~ hskp26
| ~ c2_1(a356) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause56,negated_conjecture,
( ~ hskp22
| c0_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause57,negated_conjecture,
( ~ hskp22
| c2_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause98,negated_conjecture,
( ~ hskp22
| ~ c3_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause130,negated_conjecture,
( ~ hskp2
| ~ c2_1(a269) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause85,negated_conjecture,
( ~ hskp2
| c0_1(a269) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause129,negated_conjecture,
( ~ hskp2
| ~ c1_1(a269) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause88,negated_conjecture,
( ~ hskp26
| ~ c0_1(a356) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause89,negated_conjecture,
( ~ hskp26
| ~ c1_1(a356) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause47,negated_conjecture,
( ~ hskp29
| c2_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause45,negated_conjecture,
( ~ hskp29
| c0_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause46,negated_conjecture,
( ~ hskp29
| c1_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause127,negated_conjecture,
( ~ hskp4
| ~ c3_1(a271) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause125,negated_conjecture,
( ~ hskp4
| ~ c0_1(a271) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ hskp4
| ~ c1_1(a271) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause184,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause182,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause181,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause180,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
cnf(clause178,negated_conjecture,
( ~ c0_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause177,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause176,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause175,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause167,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause172,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp8
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause166,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause165,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause159,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause161,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause60,negated_conjecture,
( ~ hskp20
| c1_1(a305) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause41,negated_conjecture,
( hskp26
| hskp1
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(c_0_85,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_86,negated_conjecture,
( ~ hskp17
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause14]) ).
cnf(c_0_87,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause17]) ).
cnf(c_0_88,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
c_0_85 ).
cnf(c_0_89,negated_conjecture,
( hskp17
| hskp14
| hskp30 ),
clause36 ).
cnf(c_0_90,negated_conjecture,
( ~ hskp17
| ndr1_0 ),
c_0_86 ).
cnf(c_0_91,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
c_0_87 ).
fof(c_0_92,plain,
( ~ epred48_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
( ~ hskp27
| c3_1(a276) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
cnf(c_0_94,negated_conjecture,
( ~ hskp27
| c2_1(a276) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_95,negated_conjecture,
( ~ hskp27
| c1_1(a276) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
fof(c_0_96,plain,
( ~ epred17_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp27 ) ),
introduced(definition) ).
cnf(c_0_97,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]) ).
cnf(c_0_98,negated_conjecture,
( ~ hskp14
| c1_1(a287) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_99,negated_conjecture,
( ~ hskp14
| ~ c0_1(a287) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_100,negated_conjecture,
( ~ hskp14
| ~ c2_1(a287) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_101,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp14
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_102,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_103,negated_conjecture,
( ~ hskp25
| ~ c3_1(a352) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
fof(c_0_104,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_105,negated_conjecture,
( ~ hskp25
| c1_1(a352) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp25
| ~ c2_1(a352) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_107,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_108,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred48_0 ),
inference(split_equiv,[status(thm)],[c_0_92]) ).
cnf(c_0_109,negated_conjecture,
( ~ hskp27
| c3_1(a276) ),
c_0_93 ).
cnf(c_0_110,negated_conjecture,
( ~ hskp27
| c2_1(a276) ),
c_0_94 ).
cnf(c_0_111,negated_conjecture,
( ~ hskp27
| c1_1(a276) ),
c_0_95 ).
cnf(c_0_112,negated_conjecture,
( ~ c1_1(X1)
| hskp27
| c0_1(X1)
| c2_1(X1)
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_96]),c_0_97])]) ).
cnf(c_0_113,negated_conjecture,
( ~ hskp14
| c1_1(a287) ),
c_0_98 ).
cnf(c_0_114,negated_conjecture,
( ~ hskp14
| ~ c0_1(a287) ),
c_0_99 ).
cnf(c_0_115,negated_conjecture,
( ~ hskp14
| ~ c2_1(a287) ),
c_0_100 ).
cnf(c_0_116,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp14
| c3_1(X1)
| c0_1(X1) ),
c_0_101 ).
cnf(c_0_117,negated_conjecture,
( ~ hskp12
| c2_1(a284) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_118,negated_conjecture,
( ~ hskp12
| ~ c0_1(a284) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp12
| ~ c3_1(a284) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
fof(c_0_120,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp9
| c3_1(a280) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_122,negated_conjecture,
( ~ hskp9
| c2_1(a280) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
fof(c_0_123,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp9
| ~ c1_1(a280) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_125,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| c2_1(X1)
| c0_1(X1) ),
c_0_102 ).
cnf(c_0_126,negated_conjecture,
( ~ hskp25
| ~ c3_1(a352) ),
c_0_103 ).
cnf(c_0_127,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(split_equiv,[status(thm)],[c_0_104]) ).
cnf(c_0_128,negated_conjecture,
( ~ hskp25
| c1_1(a352) ),
c_0_105 ).
cnf(c_0_129,negated_conjecture,
( ~ hskp25
| ~ c2_1(a352) ),
c_0_106 ).
cnf(c_0_130,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| c2_1(X1)
| c1_1(X1) ),
c_0_107 ).
fof(c_0_131,plain,
( ~ epred33_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_132,negated_conjecture,
( ~ hskp27
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp14
| hskp27
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_134,negated_conjecture,
( ~ c2_1(X1)
| hskp14
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_97])]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp12
| c2_1(a284) ),
c_0_117 ).
cnf(c_0_136,negated_conjecture,
( ~ hskp12
| ~ c0_1(a284) ),
c_0_118 ).
cnf(c_0_137,negated_conjecture,
( ~ hskp12
| ~ c3_1(a284) ),
c_0_119 ).
fof(c_0_138,plain,
( ~ epred44_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp6
| c2_1(a273) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp6
| c1_1(a273) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp6
| ~ c0_1(a273) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_142,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_120]) ).
cnf(c_0_143,negated_conjecture,
( ~ hskp9
| c3_1(a280) ),
c_0_121 ).
cnf(c_0_144,negated_conjecture,
( ~ hskp9
| c2_1(a280) ),
c_0_122 ).
cnf(c_0_145,negated_conjecture,
( ~ c3_1(X1)
| hskp6
| c0_1(X1)
| c1_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_97])]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp9
| ~ c1_1(a280) ),
c_0_124 ).
cnf(c_0_147,negated_conjecture,
( ~ c1_1(X1)
| hskp9
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_97])]) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp25
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_129]) ).
cnf(c_0_149,negated_conjecture,
( hskp12
| hskp25
| hskp14 ),
clause40 ).
fof(c_0_150,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_151,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp5
| ~ c3_1(a272) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
fof(c_0_154,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp5
| ~ c1_1(a272) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
fof(c_0_156,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp3
| ~ c2_1(a270) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
fof(c_0_158,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp3
| c0_1(a270) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
fof(c_0_160,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp3
| c3_1(a270) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
fof(c_0_162,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp8
| ~ c3_1(a275) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
fof(c_0_164,plain,
( ~ epred2_0
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp8
| ~ c0_1(a275) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp8
| ~ c2_1(a275) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_167,negated_conjecture,
( ~ c3_1(X1)
| hskp8
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_97])]) ).
cnf(c_0_168,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_131]) ).
fof(c_0_169,plain,
( ~ epred41_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_170,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_171,plain,
( ~ epred37_0
<=> ! [X3] :
( ~ c0_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_172,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp27
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp14
| epred17_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp12
| hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137]) ).
cnf(c_0_175,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp6
| c2_1(a273) ),
c_0_139 ).
cnf(c_0_177,negated_conjecture,
( ~ hskp6
| c1_1(a273) ),
c_0_140 ).
cnf(c_0_178,negated_conjecture,
( ~ hskp6
| ~ c0_1(a273) ),
c_0_141 ).
cnf(c_0_179,negated_conjecture,
( ~ hskp9
| ~ c0_1(a280)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp9
| hskp6
| c0_1(a280)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_146]) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp14
| hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_182,negated_conjecture,
( hskp14
| hskp12
| epred38_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
fof(c_0_183,plain,
( ~ epred47_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c0_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_184,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_150]) ).
cnf(c_0_185,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_151]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp0
| ~ c3_1(a267) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp0
| ~ c2_1(a267) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
fof(c_0_188,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp0
| c0_1(a267) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_190,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_97])]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp5
| ~ c3_1(a272) ),
c_0_153 ).
cnf(c_0_192,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_154]),c_0_97])]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp5
| ~ c1_1(a272) ),
c_0_155 ).
cnf(c_0_194,negated_conjecture,
( ~ c2_1(X1)
| hskp5
| c0_1(X1)
| c1_1(X1)
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_156]),c_0_97])]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp3
| ~ c2_1(a270) ),
c_0_157 ).
cnf(c_0_196,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred26_0 ),
inference(split_equiv,[status(thm)],[c_0_158]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp3
| c0_1(a270) ),
c_0_159 ).
cnf(c_0_198,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp1
| c1_1(X1)
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_97])]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp3
| c3_1(a270) ),
c_0_161 ).
cnf(c_0_200,negated_conjecture,
( ~ c3_1(X1)
| hskp3
| c0_1(X1)
| c1_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_162]),c_0_97])]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp8
| ~ c3_1(a275) ),
c_0_163 ).
cnf(c_0_202,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_164]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp8
| ~ c0_1(a275) ),
c_0_165 ).
cnf(c_0_204,negated_conjecture,
( ~ hskp8
| ~ c2_1(a275) ),
c_0_166 ).
fof(c_0_205,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp7
| ~ c3_1(a274) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp7
| c1_1(a274) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
fof(c_0_208,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_209,negated_conjecture,
( hskp8
| c2_1(X1)
| c1_1(X1)
| epred33_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp20
| ~ c3_1(a305) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp20
| ~ c0_1(a305) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_212,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp27
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_213,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp4
| hskp1
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_214,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp29
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_215,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| hskp22
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp1
| ~ c2_1(a268) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp1
| ~ c1_1(a268) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
fof(c_0_218,plain,
( ~ epred34_0
<=> ! [X3] :
( c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_219,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_169]) ).
cnf(c_0_220,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_97])]) ).
cnf(c_0_221,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_97])]) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp5
| c0_1(a272) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_223,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp27
| c2_1(X2)
| c0_1(X2) ),
c_0_172 ).
cnf(c_0_224,negated_conjecture,
( ~ hskp12
| epred17_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp6
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_178]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp9
| hskp6
| epred18_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp12
| hskp9 ),
inference(spm,[status(thm)],[c_0_181,c_0_174]) ).
cnf(c_0_228,negated_conjecture,
( hskp12
| hskp9
| epred38_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_229,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred47_0 ),
inference(split_equiv,[status(thm)],[c_0_183]) ).
fof(c_0_230,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_231,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| epred15_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_127]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp25
| ~ c0_1(a352)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_185]),c_0_129]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp25
| hskp9
| c0_1(a352) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_128]),c_0_129]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp1
| c3_1(a268) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
fof(c_0_235,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp19
| c2_1(a303) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp19
| c1_1(a303) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
fof(c_0_238,plain,
( ~ epred42_0
<=> ! [X3] :
( ~ c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_239,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp7
| c0_1(a274) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
fof(c_0_241,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp0
| ~ c3_1(a267) ),
c_0_186 ).
cnf(c_0_243,negated_conjecture,
( ~ hskp0
| ~ c2_1(a267) ),
c_0_187 ).
cnf(c_0_244,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_188]),c_0_97])]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp0
| c0_1(a267) ),
c_0_189 ).
cnf(c_0_246,negated_conjecture,
( ~ hskp9
| ~ c0_1(a280)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_143]),c_0_146]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp5
| ~ c2_1(a272)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp5
| c2_1(a272)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_168]),c_0_193]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp9
| hskp5
| c0_1(a280)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_144]),c_0_146]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp3
| ~ c1_1(a270)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp3
| hskp1
| c1_1(a270)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_197]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp9
| ~ c0_1(a280)
| hskp1
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_143]),c_0_146]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp9
| hskp3
| c0_1(a280)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_143]),c_0_146]) ).
cnf(c_0_254,negated_conjecture,
( ~ hskp26
| ~ c2_1(a356) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp8
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_256,negated_conjecture,
( hskp2
| 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_205]),c_0_97])]) ).
fof(c_0_257,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp7
| ~ c3_1(a274) ),
c_0_206 ).
cnf(c_0_259,negated_conjecture,
( ~ hskp7
| c1_1(a274) ),
c_0_207 ).
cnf(c_0_260,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred36_0 ),
inference(split_equiv,[status(thm)],[c_0_208]) ).
cnf(c_0_261,negated_conjecture,
( c2_1(a275)
| c1_1(a275)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_168]),c_0_209]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp20
| ~ c3_1(a305) ),
c_0_210 ).
cnf(c_0_263,negated_conjecture,
( ~ hskp20
| ~ c0_1(a305) ),
c_0_211 ).
cnf(c_0_264,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp27
| c3_1(X1)
| c1_1(X1) ),
c_0_212 ).
cnf(c_0_265,negated_conjecture,
( ~ hskp22
| c0_1(a311) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_266,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp4
| hskp1
| c3_1(X1)
| c0_1(X1) ),
c_0_213 ).
cnf(c_0_267,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp29
| c1_1(X1) ),
c_0_214 ).
cnf(c_0_268,negated_conjecture,
( ~ hskp22
| c2_1(a311) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_269,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| hskp22
| c1_1(X1) ),
c_0_215 ).
fof(c_0_270,plain,
( ~ epred45_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp22
| ~ c3_1(a311) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp2
| ~ c2_1(a269) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp2
| c0_1(a269) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp2
| ~ c1_1(a269) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_275,negated_conjecture,
( ~ hskp1
| ~ c2_1(a268) ),
c_0_216 ).
cnf(c_0_276,negated_conjecture,
( ~ hskp1
| ~ c1_1(a268) ),
c_0_217 ).
cnf(c_0_277,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_218]) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp25
| ~ c0_1(a352)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_219]),c_0_128]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp25
| hskp27
| c0_1(a352)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_128]),c_0_129]) ).
cnf(c_0_280,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| epred32_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp5
| c0_1(a272) ),
c_0_222 ).
cnf(c_0_282,negated_conjecture,
( ~ hskp9
| ~ c0_1(a280)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_144]),c_0_146]) ).
cnf(c_0_283,negated_conjecture,
( ~ epred17_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_223,c_0_96]),c_0_120]) ).
cnf(c_0_284,negated_conjecture,
( epred17_0
| epred38_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_182]),c_0_224]) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp9
| epred18_0
| epred27_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_286,negated_conjecture,
( hskp9
| epred38_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp9
| ~ c0_1(a280)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_144]),c_0_146]) ).
cnf(c_0_288,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_230]) ).
fof(c_0_289,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp25
| epred15_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_231]),c_0_128]) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp14
| epred15_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_231]),c_0_113]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp25
| hskp9
| epred7_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_293,negated_conjecture,
( ~ hskp1
| c3_1(a268) ),
c_0_234 ).
cnf(c_0_294,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| epred37_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_221]) ).
cnf(c_0_295,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| epred22_0 ),
inference(split_equiv,[status(thm)],[c_0_235]) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp19
| c2_1(a303) ),
c_0_236 ).
cnf(c_0_297,negated_conjecture,
( ~ hskp19
| c1_1(a303) ),
c_0_237 ).
cnf(c_0_298,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred42_0 ),
inference(split_equiv,[status(thm)],[c_0_238]) ).
cnf(c_0_299,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_239]) ).
cnf(c_0_300,negated_conjecture,
( ~ hskp7
| c0_1(a274) ),
c_0_240 ).
cnf(c_0_301,negated_conjecture,
( ~ hskp26
| ~ c0_1(a356) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp26
| ~ c1_1(a356) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp29
| c2_1(a304) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp29
| c0_1(a304) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_305,negated_conjecture,
( ~ hskp29
| c1_1(a304) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_306,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred20_0 ),
inference(split_equiv,[status(thm)],[c_0_241]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp4
| ~ c3_1(a271) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp4
| ~ c0_1(a271) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_309,negated_conjecture,
( ~ hskp4
| ~ c1_1(a271) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
fof(c_0_310,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_311,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_312,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_313,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_314,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_315,negated_conjecture,
( ~ c0_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_316,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_317,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_318,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_319,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_320,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp8
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_321,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_322,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_323,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_324,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_325,negated_conjecture,
( ~ ndr1_0
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp0
| ~ c1_1(a267)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_127]),c_0_243]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp0
| c1_1(a267)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_244]),c_0_245]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp9
| hskp6
| epred27_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_180]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp5
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp9
| hskp5
| epred6_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_249]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp9
| hskp5
| epred6_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_249]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp3
| hskp1
| epred16_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp9
| hskp3
| hskp1
| epred10_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp26
| ~ c2_1(a356) ),
c_0_254 ).
cnf(c_0_335,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_202]),c_0_255]) ).
cnf(c_0_336,negated_conjecture,
( hskp8
| hskp2
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_256]) ).
cnf(c_0_337,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp0
| c3_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_97])]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp7
| c2_1(a274)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_127]),c_0_259]) ).
cnf(c_0_339,negated_conjecture,
( hskp2
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred1_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_256]) ).
cnf(c_0_340,negated_conjecture,
( ~ hskp8
| c1_1(a275)
| epred33_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_261]) ).
cnf(c_0_341,negated_conjecture,
( ~ hskp20
| c2_1(a305)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_202]),c_0_263]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp8
| hskp2
| c1_1(a275)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_256]),c_0_203]) ).
cnf(c_0_343,negated_conjecture,
( ~ c0_1(X1)
| hskp27
| hskp19
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_97])]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp22
| c0_1(a311) ),
c_0_265 ).
cnf(c_0_345,negated_conjecture,
( ~ c2_1(X1)
| hskp4
| hskp1
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_97])]) ).
cnf(c_0_346,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp29
| hskp20
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_97])]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp22
| c2_1(a311) ),
c_0_268 ).
cnf(c_0_348,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp22
| hskp0
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_97])]) ).
cnf(c_0_349,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_97])]) ).
cnf(c_0_350,negated_conjecture,
( ~ hskp22
| ~ c3_1(a311) ),
c_0_271 ).
cnf(c_0_351,negated_conjecture,
( ~ hskp2
| ~ c2_1(a269) ),
c_0_272 ).
cnf(c_0_352,negated_conjecture,
( ~ hskp2
| c0_1(a269) ),
c_0_273 ).
cnf(c_0_353,negated_conjecture,
( ~ hskp2
| ~ c1_1(a269) ),
c_0_274 ).
cnf(c_0_354,negated_conjecture,
( ~ hskp1
| ~ c0_1(a268)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_221]),c_0_276]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp1
| c0_1(a268)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_277]),c_0_276]) ).
cnf(c_0_356,negated_conjecture,
( ~ hskp0
| ~ c1_1(a267)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_196]),c_0_245]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp0
| c1_1(a267)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_221]),c_0_245]) ).
cnf(c_0_358,negated_conjecture,
( ~ hskp25
| hskp27
| epred17_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp5
| epred32_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_193]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp9
| hskp5
| epred6_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_249]) ).
cnf(c_0_361,negated_conjecture,
( ~ epred18_0
| epred38_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_362,negated_conjecture,
( epred18_0
| epred27_0
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp9
| hskp6
| epred27_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_180]) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp9
| c0_1(a280)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_144]),c_0_146]) ).
cnf(c_0_365,negated_conjecture,
( ~ c0_1(X1)
| hskp7
| c2_1(X1)
| c1_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_289]),c_0_97])]) ).
cnf(c_0_366,negated_conjecture,
( hskp12
| epred15_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_149]),c_0_291]) ).
cnf(c_0_367,negated_conjecture,
( hskp12
| hskp9
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_149]),c_0_181]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp1
| hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_293]),c_0_275]),c_0_276]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp5
| epred37_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_281]),c_0_193]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp9
| hskp5
| epred6_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_249]) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp27
| ~ c0_1(a276)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_110]),c_0_111]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp27
| c0_1(a276)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_110]),c_0_111]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp19
| ~ c0_1(a303)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp19
| c0_1(a303)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_296]),c_0_297]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp12
| ~ c1_1(a284)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_135]),c_0_136]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp12
| hskp2
| c1_1(a284)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_256]),c_0_136]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp8
| ~ c1_1(a275)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_298]),c_0_203]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp7
| ~ c2_1(a274)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_299]),c_0_300]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp8
| ~ c1_1(a275)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_127]),c_0_204]) ).
cnf(c_0_380,negated_conjecture,
( ~ hskp26
| ~ c0_1(a356) ),
c_0_301 ).
cnf(c_0_381,negated_conjecture,
( ~ hskp26
| ~ c1_1(a356) ),
c_0_302 ).
cnf(c_0_382,negated_conjecture,
( ~ hskp29
| c2_1(a304) ),
c_0_303 ).
cnf(c_0_383,negated_conjecture,
( ~ hskp29
| c0_1(a304) ),
c_0_304 ).
cnf(c_0_384,negated_conjecture,
( ~ hskp29
| c1_1(a304) ),
c_0_305 ).
cnf(c_0_385,negated_conjecture,
( ~ hskp12
| ~ c1_1(a284)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_306]),c_0_135]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp4
| ~ c3_1(a271) ),
c_0_307 ).
cnf(c_0_387,negated_conjecture,
( ~ hskp4
| ~ c0_1(a271) ),
c_0_308 ).
cnf(c_0_388,negated_conjecture,
( ~ hskp4
| ~ c1_1(a271) ),
c_0_309 ).
cnf(c_0_389,negated_conjecture,
( ~ c3_1(X1)
| hskp8
| c1_1(X1)
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_310]),c_0_97])]) ).
cnf(c_0_390,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c1_1(X2) ),
c_0_311 ).
cnf(c_0_391,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
c_0_312 ).
cnf(c_0_392,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_313 ).
cnf(c_0_393,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
c_0_314 ).
cnf(c_0_394,negated_conjecture,
( ~ c0_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_315 ).
cnf(c_0_395,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_316 ).
cnf(c_0_396,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_317 ).
cnf(c_0_397,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp0
| c3_1(X2) ),
c_0_318 ).
cnf(c_0_398,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c1_1(X2)
| c0_1(X2) ),
c_0_319 ).
cnf(c_0_399,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp8
| c1_1(X2)
| c2_1(X1) ),
c_0_320 ).
cnf(c_0_400,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_321 ).
cnf(c_0_401,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_322 ).
cnf(c_0_402,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_323 ).
cnf(c_0_403,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_324 ).
cnf(c_0_404,negated_conjecture,
( ~ ndr1_0
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_325 ).
cnf(c_0_405,negated_conjecture,
( ~ hskp20
| c1_1(a305) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp0
| epred43_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp9
| epred27_0
| epred40_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_328]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp9
| epred6_0
| epred40_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp9
| epred6_0
| epred18_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_331]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp9
| epred10_0
| hskp1
| epred16_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp26
| c0_1(a356)
| c1_1(a356)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp26
| hskp8
| hskp2
| c0_1(a356)
| c1_1(a356)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_336]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp7
| ~ c0_1(a274)
| epred38_0
| hskp0
| c3_1(a274)
| epred31_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp7
| ~ c0_1(a274)
| ~ c1_1(a274)
| epred38_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_295,c_0_338]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp26
| hskp2
| c0_1(a356)
| c1_1(a356)
| epred1_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_339]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp8
| epred33_0
| hskp27
| c0_1(a275)
| c2_1(a275)
| epred17_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_340]) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp20
| ~ c1_1(a305)
| epred2_0
| c0_1(a305)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_341]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp8
| hskp2
| epred1_0
| hskp9
| c0_1(a275)
| c2_1(a275) ),
inference(spm,[status(thm)],[c_0_147,c_0_342]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp22
| hskp27
| hskp19
| c3_1(a311)
| c1_1(a311) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp12
| hskp4
| hskp1
| c0_1(a284)
| c3_1(a284) ),
inference(spm,[status(thm)],[c_0_345,c_0_135]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp22
| ~ c0_1(a311)
| hskp29
| hskp20
| c1_1(a311) ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp9
| ~ c2_1(a280)
| hskp22
| hskp0
| c1_1(a280) ),
inference(spm,[status(thm)],[c_0_348,c_0_143]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp1
| c2_1(a268)
| c1_1(a268)
| epred45_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_293]) ).
cnf(c_0_424,negated_conjecture,
( ~ c0_1(a311)
| ~ hskp22
| c1_1(a311)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_244]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp2
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_221]),c_0_352]),c_0_353]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp1
| epred34_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp0
| epred26_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_428,negated_conjecture,
( hskp27
| hskp12
| epred17_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_149]),c_0_133]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp9
| epred6_0
| epred32_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp22
| hskp0
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_347]),c_0_344]),c_0_350]) ).
cnf(c_0_431,negated_conjecture,
( epred27_0
| epred38_0
| epred44_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp9
| epred27_0
| epred44_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_363]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp9
| hskp1
| epred9_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_364]) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp2
| hskp7
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_352]),c_0_351]),c_0_353]) ).
cnf(c_0_435,negated_conjecture,
( epred15_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_174]),c_0_366]) ).
cnf(c_0_436,negated_conjecture,
( hskp9
| epred7_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_367]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_255,c_0_368]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp9
| epred6_0
| epred37_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp27
| epred22_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp19
| epred22_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp12
| hskp2
| epred1_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp8
| hskp2
| epred1_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_377,c_0_342]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp7
| epred5_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_338]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp8
| hskp2
| epred1_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_379,c_0_342]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp1
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_293]),c_0_275]),c_0_276]) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp26
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_277]),c_0_380]),c_0_381]) ).
cnf(c_0_447,negated_conjecture,
( ~ hskp29
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_382]),c_0_383]),c_0_384]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp22
| ~ c1_1(a311)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_347]),c_0_344]) ).
cnf(c_0_449,negated_conjecture,
( ~ hskp12
| hskp2
| epred1_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_376]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_185]),c_0_245]),c_0_243]) ).
cnf(c_0_451,negated_conjecture,
( ~ hskp22
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_299]),c_0_344]),c_0_347]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp4
| hskp2
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_256]),c_0_387]),c_0_388]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp9
| hskp8
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_143]),c_0_146]) ).
cnf(c_0_454,negated_conjecture,
( ~ epred40_0
| ~ epred47_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_390,c_0_152]),c_0_183]),c_0_92]) ).
cnf(c_0_455,negated_conjecture,
( ~ epred20_0
| ~ epred26_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_391,c_0_270]),c_0_241]),c_0_158]) ).
cnf(c_0_456,negated_conjecture,
( ~ epred5_0
| ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_392,c_0_188]),c_0_239]),c_0_138]) ).
cnf(c_0_457,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_393,c_0_152]),c_0_169]),c_0_238]) ).
cnf(c_0_458,negated_conjecture,
( ~ epred7_0
| ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_394,c_0_171]),c_0_104]),c_0_151]) ).
cnf(c_0_459,negated_conjecture,
( ~ epred34_0
| ~ epred35_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_395,c_0_154]),c_0_208]),c_0_218]) ).
cnf(c_0_460,negated_conjecture,
( ~ epred32_0
| ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_396,c_0_170]),c_0_131]),c_0_218]) ).
cnf(c_0_461,negated_conjecture,
( ~ epred22_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_397,c_0_257]),c_0_235]) ).
cnf(c_0_462,negated_conjecture,
( ~ epred22_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_398,c_0_123]),c_0_235]) ).
cnf(c_0_463,negated_conjecture,
( ~ epred25_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_399,c_0_130]),c_0_310]),c_0_158]) ).
cnf(c_0_464,negated_conjecture,
( ~ epred7_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_400,c_0_160]),c_0_151]) ).
cnf(c_0_465,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_401,c_0_289]),c_0_150]) ).
cnf(c_0_466,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_402,c_0_162]),c_0_230]) ).
cnf(c_0_467,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_403,c_0_156]),c_0_151]) ).
cnf(c_0_468,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_404,c_0_205]),c_0_164]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp20
| c1_1(a305) ),
c_0_405 ).
cnf(c_0_470,negated_conjecture,
( hskp26
| hskp1
| hskp12 ),
clause41 ).
cnf(c_0_471,plain,
$false,
inference(cdclpropres,[status(thm)],[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_415,c_0_416,c_0_417,c_0_418,c_0_419,c_0_420,c_0_421,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_286,c_0_227,c_0_437,c_0_368,c_0_438,c_0_132,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_451,c_0_255,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_283,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_276,c_0_275,c_0_258,c_0_204,c_0_203,c_0_146,c_0_137,c_0_136,c_0_263,c_0_350,c_0_381,c_0_380,c_0_259,c_0_469,c_0_144,c_0_300,c_0_344,c_0_470]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN462-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 11:04:44 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.56/3.26 % Version: 3.5.1
% 18.56/3.26 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.56/3.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.56/3.26 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.56/3.26 % Starting new_bool_3 with 300s (1) cores
% 18.56/3.26 % Starting new_bool_1 with 300s (1) cores
% 18.56/3.26 % Starting sh5l with 300s (1) cores
% 18.56/3.26 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2962930 completed with status 0
% 18.56/3.26 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.56/3.26 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.56/3.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.56/3.26 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.56/3.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.56/3.26 % No SInE strategy applied
% 18.56/3.26 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.56/3.26 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.56/3.26 % Starting SubtermCWHack with 151s (1) cores
% 18.56/3.26 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.56/3.26 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.56/3.26 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 18.56/3.26 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 18.56/3.26 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2962935 completed with status 0
% 18.56/3.26 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.56/3.26 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.56/3.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.56/3.26 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.56/3.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.56/3.26 % No SInE strategy applied
% 18.56/3.26 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.56/3.26 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.56/3.26 % Starting SubtermCWHack with 151s (1) cores
% 18.56/3.26 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.56/3.26 % Preprocessing time : 0.004 s
% 18.56/3.26 % SatCheck found unsatisfiable ground set
% 18.56/3.26
% 18.56/3.26 % Proof found!
% 18.56/3.26 % SZS status Unsatisfiable
% 18.56/3.26 % SZS output start CNFRefutation
% See solution above
% 18.56/3.27 % Parsed axioms : 184
% 18.56/3.27 % Removed by relevancy pruning/SinE : 0
% 18.56/3.27 % Initial clauses : 184
% 18.56/3.27 % Removed in clause preprocessing : 0
% 18.56/3.27 % Initial clauses in saturation : 184
% 18.56/3.27 % Processed clauses : 8048
% 18.56/3.27 % ...of these trivial : 0
% 18.56/3.27 % ...subsumed : 3048
% 18.56/3.27 % ...remaining for further processing : 5000
% 18.56/3.27 % Other redundant clauses eliminated : 0
% 18.56/3.27 % Clauses deleted for lack of memory : 0
% 18.56/3.27 % Backward-subsumed : 2124
% 18.56/3.27 % Backward-rewritten : 53
% 18.56/3.27 % Generated clauses : 51174
% 18.56/3.27 % ...of the previous two non-redundant : 47879
% 18.56/3.27 % ...aggressively subsumed : 0
% 18.56/3.27 % Contextual simplify-reflections : 601
% 18.56/3.27 % Paramodulations : 51098
% 18.56/3.27 % Factorizations : 0
% 18.56/3.27 % NegExts : 0
% 18.56/3.27 % Equation resolutions : 0
% 18.56/3.27 % Disequality decompositions : 0
% 18.56/3.27 % Total rewrite steps : 80
% 18.56/3.27 % ...of those cached : 79
% 18.56/3.27 % Propositional unsat checks : 1
% 18.56/3.27 % Propositional check models : 0
% 18.56/3.27 % Propositional check unsatisfiable : 1
% 18.56/3.27 % Propositional clauses : 41757
% 18.56/3.27 % Propositional clauses after purity: 41092
% 18.56/3.27 % Propositional unsat core size : 87
% 18.56/3.27 % Propositional preprocessing time : 0.000
% 18.56/3.27 % Propositional encoding time : 0.031
% 18.56/3.27 % Propositional solver time : 0.082
% 18.56/3.27 % Success case prop preproc time : 0.000
% 18.56/3.27 % Success case prop encoding time : 0.031
% 18.56/3.27 % Success case prop solver time : 0.082
% 18.56/3.27 % Current number of processed clauses : 2795
% 18.56/3.27 % Positive orientable unit clauses : 1
% 18.56/3.27 % Positive unorientable unit clauses: 0
% 18.56/3.27 % Negative unit clauses : 0
% 18.56/3.27 % Non-unit-clauses : 2794
% 18.56/3.27 % Current number of unprocessed clauses: 38962
% 18.56/3.27 % ...number of literals in the above : 252111
% 18.56/3.27 % Current number of archived formulas : 0
% 18.56/3.27 % Current number of archived clauses : 2177
% 18.56/3.27 % Clause-clause subsumption calls (NU) : 4340814
% 18.56/3.27 % Rec. Clause-clause subsumption calls : 327879
% 18.56/3.27 % Non-unit clause-clause subsumptions : 5807
% 18.56/3.27 % Unit Clause-clause subsumption calls : 12
% 18.56/3.27 % Rewrite failures with RHS unbound : 0
% 18.56/3.27 % BW rewrite match attempts : 1
% 18.56/3.27 % BW rewrite match successes : 1
% 18.56/3.27 % Condensation attempts : 8048
% 18.56/3.27 % Condensation successes : 0
% 18.56/3.27 % Termbank termtop insertions : 474594
% 18.56/3.27 % Search garbage collected termcells : 448
% 18.56/3.27
% 18.56/3.27 % -------------------------------------------------
% 18.56/3.27 % User time : 2.634 s
% 18.56/3.27 % System time : 0.059 s
% 18.56/3.27 % Total time : 2.693 s
% 18.56/3.27 % Maximum resident set size: 4032 pages
% 18.56/3.27
% 18.56/3.27 % -------------------------------------------------
% 18.56/3.27 % User time : 13.186 s
% 18.56/3.27 % System time : 0.301 s
% 18.56/3.27 % Total time : 13.487 s
% 18.56/3.27 % Maximum resident set size: 4864 pages
% 18.56/3.27 % E exiting
%------------------------------------------------------------------------------