%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN466-1 : 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 : n003.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 03:24:35 PM UTC 2026
% Result : Unsatisfiable 20.64s 3.32s
% Output : CNFRefutation 20.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 163
% Syntax : Number of formulae : 679 ( 2 unt; 0 def)
% Number of atoms : 2632 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3211 (1258 ~;1909 |; 0 &)
% ( 44 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 72 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 324 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause25,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(clause8,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause1,negated_conjecture,
( hskp8
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| hskp5
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause72,negated_conjecture,
( ~ hskp9
| c2_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause124,negated_conjecture,
( ~ hskp9
| ~ c1_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause80,negated_conjecture,
( ~ hskp4
| c2_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause131,negated_conjecture,
( ~ hskp4
| ~ c1_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause125,negated_conjecture,
( ~ hskp9
| ~ c3_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause141,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp19
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
cnf(clause130,negated_conjecture,
( ~ hskp5
| ~ c2_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause78,negated_conjecture,
( ~ hskp5
| c0_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause79,negated_conjecture,
( ~ hskp5
| c1_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause109,negated_conjecture,
( ~ hskp19
| ~ c3_1(a135) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause58,negated_conjecture,
( ~ hskp19
| c0_1(a135) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause71,negated_conjecture,
( ~ hskp11
| c1_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause120,negated_conjecture,
( ~ hskp11
| ~ c3_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause119,negated_conjecture,
( ~ hskp11
| ~ c2_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause92,negated_conjecture,
( ~ hskp26
| ~ c2_1(a187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause54,negated_conjecture,
( ~ hskp26
| c0_1(a187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause91,negated_conjecture,
( ~ hskp26
| ~ c1_1(a187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause81,negated_conjecture,
( ~ hskp4
| c3_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause112,negated_conjecture,
( ~ hskp17
| ~ c1_1(a132) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause111,negated_conjecture,
( ~ hskp17
| ~ c0_1(a132) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause181,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp17
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause37,negated_conjecture,
( hskp9
| hskp4
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause61,negated_conjecture,
( ~ hskp17
| c3_1(a132) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause39,negated_conjecture,
( hskp4
| hskp11
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause46,negated_conjecture,
( ~ hskp30
| c3_1(a131) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause44,negated_conjecture,
( ~ hskp30
| c0_1(a131) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause45,negated_conjecture,
( ~ hskp30
| c2_1(a131) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause69,negated_conjecture,
( ~ hskp13
| c2_1(a114) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause116,negated_conjecture,
( ~ hskp13
| ~ c3_1(a114) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause68,negated_conjecture,
( ~ hskp13
| c1_1(a114) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause86,negated_conjecture,
( ~ hskp1
| c2_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause134,negated_conjecture,
( ~ hskp1
| ~ c0_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause135,negated_conjecture,
( ~ hskp1
| ~ c1_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause96,negated_conjecture,
( ~ hskp24
| ~ c2_1(a163) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause95,negated_conjecture,
( ~ hskp24
| ~ c1_1(a163) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause97,negated_conjecture,
( ~ hskp24
| ~ c3_1(a163) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp29
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
cnf(clause189,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
cnf(clause174,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause70,negated_conjecture,
( ~ hskp12
| c3_1(a113) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause118,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause117,negated_conjecture,
( ~ hskp12
| ~ c0_1(a113) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause122,negated_conjecture,
( ~ hskp10
| ~ c2_1(a111) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause121,negated_conjecture,
( ~ hskp10
| ~ c0_1(a111) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause55,negated_conjecture,
( ~ hskp25
| c1_1(a167) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause65,negated_conjecture,
( ~ hskp15
| c3_1(a117) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause114,negated_conjecture,
( ~ hskp15
| ~ c1_1(a117) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| hskp19
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
cnf(clause123,negated_conjecture,
( ~ hskp10
| ~ c3_1(a111) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause94,negated_conjecture,
( ~ hskp25
| ~ c2_1(a167) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause73,negated_conjecture,
( ~ hskp8
| c1_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause127,negated_conjecture,
( ~ hskp8
| ~ c3_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause157,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| hskp1
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause108,negated_conjecture,
( ~ hskp19
| ~ c2_1(a135) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause138,negated_conjecture,
( ~ ndr1_0
| hskp4
| hskp3
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp28
| hskp15
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(clause151,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp31
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp29
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp15
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause182,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause43,negated_conjecture,
( ~ hskp31
| c3_1(a141) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause41,negated_conjecture,
( ~ hskp31
| c0_1(a141) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause42,negated_conjecture,
( ~ hskp31
| c1_1(a141) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause133,negated_conjecture,
( ~ hskp2
| ~ c3_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause84,negated_conjecture,
( ~ hskp2
| c0_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause49,negated_conjecture,
( ~ hskp29
| c2_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( ~ hskp29
| c1_1(a128) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause77,negated_conjecture,
( ~ hskp6
| c2_1(a107) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( ~ hskp6
| c1_1(a107) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause63,negated_conjecture,
( ~ hskp16
| c3_1(a126) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause113,negated_conjecture,
( ~ hskp16
| ~ c2_1(a126) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause62,negated_conjecture,
( ~ hskp16
| c1_1(a126) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause35,negated_conjecture,
( hskp13
| hskp15
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause103,negated_conjecture,
( ~ hskp22
| ~ c2_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause101,negated_conjecture,
( ~ hskp22
| ~ c0_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause102,negated_conjecture,
( ~ hskp22
| ~ c1_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause56,negated_conjecture,
( ~ hskp21
| c3_1(a143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause104,negated_conjecture,
( ~ hskp21
| ~ c1_1(a143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause105,negated_conjecture,
( ~ hskp21
| ~ c2_1(a143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause126,negated_conjecture,
( ~ hskp8
| ~ c0_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause51,negated_conjecture,
( ~ hskp28
| c2_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause50,negated_conjecture,
( ~ hskp28
| c1_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause52,negated_conjecture,
( ~ hskp28
| c3_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause34,negated_conjecture,
( hskp24
| hskp30
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause64,negated_conjecture,
( ~ hskp15
| c0_1(a117) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause83,negated_conjecture,
( ~ hskp3
| c2_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause82,negated_conjecture,
( ~ hskp3
| c0_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause132,negated_conjecture,
( ~ hskp3
| ~ c1_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause93,negated_conjecture,
( ~ hskp25
| ~ c0_1(a167) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause87,negated_conjecture,
( ~ hskp0
| c2_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause88,negated_conjecture,
( ~ hskp0
| c3_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause136,negated_conjecture,
( ~ hskp0
| ~ c0_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause196,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
cnf(clause195,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
cnf(clause194,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause193,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
cnf(clause192,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
cnf(clause188,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
cnf(clause187,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
cnf(clause186,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause178,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause176,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause184,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp12
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause183,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp22
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
cnf(clause177,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause171,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
cnf(clause172,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause165,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause167,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp6
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause168,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp16
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause170,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp30
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause163,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
cnf(clause36,negated_conjecture,
( hskp25
| hskp16
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause25]) ).
cnf(c_0_120,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause8]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
c_0_119 ).
cnf(c_0_122,negated_conjecture,
( hskp8
| hskp25 ),
clause1 ).
cnf(c_0_123,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
c_0_120 ).
cnf(c_0_124,negated_conjecture,
( ~ ndr1_0
| hskp5
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
fof(c_0_125,plain,
( ~ epred53_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_126,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_127,negated_conjecture,
( ~ ndr1_0
| hskp5
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
c_0_124 ).
fof(c_0_128,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp9
| c2_1(a110) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp9
| ~ c1_1(a110) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_131,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_126])]) ).
cnf(c_0_132,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_126])]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp4
| c2_1(a105) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp4
| ~ c1_1(a105) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
fof(c_0_135,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp9
| ~ c3_1(a110) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
fof(c_0_137,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_138,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_128]) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp9
| c2_1(a110) ),
c_0_129 ).
cnf(c_0_140,negated_conjecture,
( ~ hskp9
| ~ c1_1(a110) ),
c_0_130 ).
cnf(c_0_141,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp4
| c2_1(a105) ),
c_0_133 ).
cnf(c_0_143,negated_conjecture,
( ~ hskp4
| ~ c1_1(a105) ),
c_0_134 ).
cnf(c_0_144,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_126])]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp9
| ~ c3_1(a110) ),
c_0_136 ).
fof(c_0_146,plain,
( ~ epred47_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_147,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp19
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause141]) ).
cnf(c_0_148,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp17
| c3_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_137]),c_0_126])]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp5
| ~ c2_1(a106) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
fof(c_0_150,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp5
| c0_1(a106) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp5
| c1_1(a106) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp9
| ~ c0_1(a110)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp9
| hskp5
| c0_1(a110)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp4
| ~ c0_1(a105)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_142]),c_0_143]) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp4
| hskp5
| c0_1(a105)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_141]) ).
fof(c_0_157,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp9
| ~ c0_1(a110)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_139]),c_0_145]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp9
| hskp5
| c0_1(a110) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_132]),c_0_140]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp19
| ~ c3_1(a135) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_161,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred47_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_146]),c_0_126])]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp19
| c0_1(a135) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_163,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp19
| c3_1(X1)
| c2_1(X1) ),
c_0_147 ).
cnf(c_0_164,negated_conjecture,
( ~ hskp11
| c1_1(a112) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp11
| ~ c3_1(a112) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp11
| ~ c2_1(a112) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp26
| ~ c2_1(a187) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
fof(c_0_168,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp26
| c0_1(a187) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp26
| ~ c1_1(a187) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp9
| ~ c0_1(a110)
| hskp17
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_139]),c_0_145]) ).
fof(c_0_172,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp4
| c3_1(a105) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp17
| ~ c1_1(a132) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp17
| ~ c0_1(a132) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_176,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp17
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp5
| ~ c2_1(a106) ),
c_0_149 ).
cnf(c_0_178,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_150]),c_0_126])]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp5
| c0_1(a106) ),
c_0_151 ).
cnf(c_0_180,negated_conjecture,
( ~ hskp5
| c1_1(a106) ),
c_0_152 ).
cnf(c_0_181,negated_conjecture,
( ~ hskp9
| hskp5
| epred19_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_182,negated_conjecture,
( hskp9
| hskp4
| hskp5 ),
clause37 ).
cnf(c_0_183,negated_conjecture,
( ~ hskp4
| hskp5
| epred19_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
fof(c_0_184,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_185,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp17
| c3_1(a132) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_187,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp17
| c2_1(X1)
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_126])]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp9
| hskp5
| epred38_0 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
fof(c_0_189,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp19
| ~ c3_1(a135) ),
c_0_160 ).
cnf(c_0_191,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_161]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp19
| c0_1(a135) ),
c_0_162 ).
cnf(c_0_193,negated_conjecture,
( ~ c1_1(X1)
| hskp19
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_126])]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp11
| c1_1(a112) ),
c_0_164 ).
cnf(c_0_195,negated_conjecture,
( ~ hskp11
| ~ c3_1(a112) ),
c_0_165 ).
cnf(c_0_196,negated_conjecture,
( ~ hskp11
| ~ c2_1(a112) ),
c_0_166 ).
cnf(c_0_197,negated_conjecture,
( ~ hskp26
| ~ c2_1(a187) ),
c_0_167 ).
cnf(c_0_198,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_168]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp26
| c0_1(a187) ),
c_0_169 ).
cnf(c_0_200,negated_conjecture,
( ~ hskp26
| ~ c1_1(a187) ),
c_0_170 ).
fof(c_0_201,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp9
| hskp17
| hskp5
| epred28_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_159]) ).
cnf(c_0_203,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp4
| c3_1(a105) ),
c_0_173 ).
cnf(c_0_205,negated_conjecture,
( ~ hskp17
| ~ c1_1(a132) ),
c_0_174 ).
cnf(c_0_206,negated_conjecture,
( ~ hskp17
| ~ c0_1(a132) ),
c_0_175 ).
cnf(c_0_207,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp17
| c1_1(X2)
| c3_1(X1) ),
c_0_176 ).
cnf(c_0_208,negated_conjecture,
( ~ hskp5
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_180]) ).
cnf(c_0_209,negated_conjecture,
( hskp5
| epred19_0
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
cnf(c_0_210,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred37_0 ),
inference(split_equiv,[status(thm)],[c_0_184]) ).
cnf(c_0_211,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_185]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp17
| c3_1(a132) ),
c_0_186 ).
cnf(c_0_213,negated_conjecture,
( ~ hskp5
| hskp17
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_180]),c_0_179]),c_0_177]) ).
cnf(c_0_214,negated_conjecture,
( hskp5
| hskp4
| epred38_0 ),
inference(spm,[status(thm)],[c_0_188,c_0_182]) ).
cnf(c_0_215,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_189]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp19
| epred38_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp11
| hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),c_0_196]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp26
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]),c_0_200]) ).
cnf(c_0_219,negated_conjecture,
( hskp4
| hskp11
| hskp26 ),
clause39 ).
fof(c_0_220,plain,
( ~ epred21_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp30
| c3_1(a131) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp30
| c0_1(a131) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp30
| c2_1(a131) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
fof(c_0_224,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp13
| c2_1(a114) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp13
| ~ c3_1(a114) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
fof(c_0_227,plain,
( ~ epred46_0
<=> ! [X3] :
( ~ c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp13
| c1_1(a114) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
fof(c_0_229,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp1
| c2_1(a102) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp1
| ~ c0_1(a102) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp1
| ~ c1_1(a102) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
fof(c_0_233,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp24
| ~ c2_1(a163) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp24
| ~ c1_1(a163) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
fof(c_0_236,plain,
( ~ epred20_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp13 ) ),
introduced(definition) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp24
| ~ c3_1(a163) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
fof(c_0_238,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_239,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp29
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
fof(c_0_240,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_241,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_242,plain,
( ~ epred50_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_243,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| c1_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_126])]) ).
cnf(c_0_244,negated_conjecture,
( hskp17
| hskp5
| hskp4
| epred28_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_182]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp4
| ~ c0_1(a105)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_143]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp17
| hskp5
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_141]),c_0_206]) ).
cnf(c_0_247,negated_conjecture,
( ~ epred19_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_207,c_0_137]),c_0_128]) ).
cnf(c_0_248,negated_conjecture,
( epred19_0
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_249,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp4
| ~ c0_1(a105)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_142]),c_0_204]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp4
| c0_1(a105)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_204]),c_0_143]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp17
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_206]),c_0_205]) ).
cnf(c_0_253,negated_conjecture,
( hskp17
| hskp4
| epred17_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_254,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_255,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp4
| c0_1(a105)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_142]),c_0_204]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp11
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_258,negated_conjecture,
( hskp11
| hskp4
| epred8_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
fof(c_0_259,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp12
| c3_1(a113) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp12
| ~ c0_1(a113) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_263,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_220]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp30
| c3_1(a131) ),
c_0_221 ).
cnf(c_0_265,negated_conjecture,
( ~ hskp30
| c0_1(a131) ),
c_0_222 ).
cnf(c_0_266,negated_conjecture,
( ~ hskp30
| c2_1(a131) ),
c_0_223 ).
cnf(c_0_267,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp10
| c3_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_126])]) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp13
| c2_1(a114) ),
c_0_225 ).
cnf(c_0_269,negated_conjecture,
( ~ hskp13
| ~ c3_1(a114) ),
c_0_226 ).
cnf(c_0_270,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_227]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp13
| c1_1(a114) ),
c_0_228 ).
fof(c_0_272,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_273,negated_conjecture,
( ~ c2_1(X1)
| hskp10
| c0_1(X1)
| c1_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_126])]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp1
| c2_1(a102) ),
c_0_230 ).
cnf(c_0_275,negated_conjecture,
( ~ hskp1
| ~ c0_1(a102) ),
c_0_231 ).
cnf(c_0_276,negated_conjecture,
( ~ hskp1
| ~ c1_1(a102) ),
c_0_232 ).
cnf(c_0_277,negated_conjecture,
( ~ c1_1(X1)
| hskp8
| c0_1(X1)
| c3_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_233]),c_0_126])]) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp24
| ~ c2_1(a163) ),
c_0_234 ).
cnf(c_0_279,negated_conjecture,
( ~ hskp24
| ~ c1_1(a163) ),
c_0_235 ).
cnf(c_0_280,negated_conjecture,
( hskp13
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_126])]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp24
| ~ c3_1(a163) ),
c_0_237 ).
cnf(c_0_282,negated_conjecture,
( ~ hskp10
| ~ c2_1(a111) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
fof(c_0_283,plain,
( ~ epred41_0
<=> ! [X3] :
( ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp10
| ~ c0_1(a111) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
fof(c_0_285,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp22 ) ),
introduced(definition) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp25
| c1_1(a167) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
fof(c_0_287,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_288,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_238]) ).
cnf(c_0_289,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp29
| c1_1(X1) ),
c_0_239 ).
fof(c_0_290,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp15
| c3_1(a117) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp15
| ~ c1_1(a117) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_293,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| hskp19
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_294,negated_conjecture,
( ~ hskp10
| ~ c3_1(a111) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp25
| ~ c2_1(a167) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp8
| c1_1(a109) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp8
| ~ c3_1(a109) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_298,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| hskp1
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_299,negated_conjecture,
( ~ hskp19
| ~ c2_1(a135) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
fof(c_0_300,plain,
( ~ epred48_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_301,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_240]) ).
cnf(c_0_302,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_241]) ).
fof(c_0_303,plain,
( ~ epred40_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_304,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_305,negated_conjecture,
( ~ ndr1_0
| hskp4
| hskp3
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_306,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp28
| hskp15
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_307,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_242]),c_0_126])]) ).
cnf(c_0_308,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp31
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause151]) ).
cnf(c_0_309,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp29
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_310,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp15
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp4
| hskp17
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_142]),c_0_204]),c_0_143]) ).
cnf(c_0_312,negated_conjecture,
( hskp17
| hskp4
| epred17_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_244]) ).
cnf(c_0_313,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp4
| hskp5
| epred25_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_156]) ).
cnf(c_0_315,negated_conjecture,
( ~ hskp17
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_246]) ).
cnf(c_0_316,negated_conjecture,
( hskp17
| hskp4
| epred28_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_244]) ).
cnf(c_0_317,negated_conjecture,
( ~ epred28_0
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp31
| c3_1(a141) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp31
| c0_1(a141) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp31
| c1_1(a141) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_321,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_249 ).
cnf(c_0_322,negated_conjecture,
( ~ hskp4
| epred2_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_323,negated_conjecture,
( hskp4
| epred2_0
| epred17_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_324,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_254 ).
cnf(c_0_325,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_255 ).
cnf(c_0_326,negated_conjecture,
( ~ hskp4
| epred6_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_256]) ).
cnf(c_0_327,negated_conjecture,
( hskp4
| epred8_0
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp2
| ~ c3_1(a103) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp2
| c0_1(a103) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_330,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp2
| c2_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_259]),c_0_126])]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp12
| c3_1(a113) ),
c_0_260 ).
cnf(c_0_332,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
c_0_261 ).
cnf(c_0_333,negated_conjecture,
( ~ hskp12
| ~ c0_1(a113) ),
c_0_262 ).
fof(c_0_334,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_335,negated_conjecture,
( ~ hskp29
| c2_1(a128) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp29
| c1_1(a128) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp6
| c2_1(a107) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp6
| c1_1(a107) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp30
| ~ c1_1(a131)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
cnf(c_0_340,negated_conjecture,
( ~ hskp30
| c1_1(a131)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_266]),c_0_265]) ).
fof(c_0_341,plain,
( ~ epred4_0
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp13
| ~ c0_1(a114)
| hskp10
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp13
| c0_1(a114)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
cnf(c_0_344,negated_conjecture,
( hskp1
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_272]),c_0_126])]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp1
| hskp10
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]),c_0_276]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp13
| ~ c0_1(a114)
| hskp17
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_268]),c_0_269]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp13
| hskp8
| c0_1(a114)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_271]),c_0_269]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp24
| ~ c0_1(a163)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_198]),c_0_279]) ).
cnf(c_0_349,negated_conjecture,
( ~ hskp24
| hskp13
| c0_1(a163)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_280]),c_0_281]) ).
cnf(c_0_350,negated_conjecture,
( ~ hskp10
| ~ c2_1(a111) ),
c_0_282 ).
cnf(c_0_351,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_283]),c_0_126])]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp10
| ~ c0_1(a111) ),
c_0_284 ).
cnf(c_0_353,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp22
| c3_1(X1)
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_285]),c_0_126])]) ).
fof(c_0_354,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp25
| c1_1(a167) ),
c_0_286 ).
cnf(c_0_356,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp12
| c3_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_287]),c_0_126])]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp13
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_268]),c_0_271]),c_0_269]) ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp29
| hskp21
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_126])]) ).
cnf(c_0_359,negated_conjecture,
( ~ c3_1(X1)
| hskp6
| c1_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_290]),c_0_126])]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp15
| c3_1(a117) ),
c_0_291 ).
cnf(c_0_361,negated_conjecture,
( ~ hskp15
| ~ c1_1(a117) ),
c_0_292 ).
cnf(c_0_362,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| hskp19
| c3_1(X1)
| c2_1(X1) ),
c_0_293 ).
fof(c_0_363,plain,
( ~ epred3_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| hskp30 ) ),
introduced(definition) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp10
| ~ c3_1(a111) ),
c_0_294 ).
cnf(c_0_365,negated_conjecture,
( ~ hskp25
| ~ c2_1(a167) ),
c_0_295 ).
cnf(c_0_366,negated_conjecture,
( ~ hskp8
| c1_1(a109) ),
c_0_296 ).
cnf(c_0_367,negated_conjecture,
( ~ hskp8
| ~ c3_1(a109) ),
c_0_297 ).
cnf(c_0_368,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| hskp1
| c2_1(X1) ),
c_0_298 ).
cnf(c_0_369,negated_conjecture,
( ~ hskp19
| ~ c2_1(a135) ),
c_0_299 ).
cnf(c_0_370,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred48_0 ),
inference(split_equiv,[status(thm)],[c_0_300]) ).
cnf(c_0_371,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred11_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_372,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred11_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_288,c_0_302]) ).
cnf(c_0_373,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred40_0 ),
inference(split_equiv,[status(thm)],[c_0_303]) ).
cnf(c_0_374,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_304]) ).
cnf(c_0_375,negated_conjecture,
( ~ ndr1_0
| hskp4
| hskp3
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
c_0_305 ).
cnf(c_0_376,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp28
| hskp15
| c2_1(X1)
| c0_1(X1) ),
c_0_306 ).
cnf(c_0_377,negated_conjecture,
( ~ hskp16
| c3_1(a126) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_378,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| epred43_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_307]) ).
cnf(c_0_379,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp31
| c1_1(X1) ),
c_0_308 ).
cnf(c_0_380,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp4
| hskp29
| c2_1(X1) ),
c_0_309 ).
cnf(c_0_381,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp15
| c1_1(X1) ),
c_0_310 ).
fof(c_0_382,plain,
( ~ epred51_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_383,plain,
( ~ epred49_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp16
| ~ c2_1(a126) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp4
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_311]) ).
cnf(c_0_386,negated_conjecture,
( hskp4
| epred2_0
| epred17_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_312]) ).
cnf(c_0_387,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp17
| c1_1(X2)
| c1_1(X1) ),
c_0_313 ).
cnf(c_0_388,negated_conjecture,
( ~ hskp4
| epred25_0
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_314]) ).
cnf(c_0_389,negated_conjecture,
( hskp4
| epred44_0
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp4
| epred27_0
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_315,c_0_311]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp16
| c1_1(a126) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_392,negated_conjecture,
( hskp13
| hskp15
| hskp5 ),
clause35 ).
fof(c_0_393,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp13
| ~ c0_1(a114)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_268]),c_0_269]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp22
| ~ c2_1(a145) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp22
| ~ c0_1(a145) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp22
| ~ c1_1(a145) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp30
| hskp17
| c1_1(a131)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_266]),c_0_264]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp31
| c3_1(a141) ),
c_0_318 ).
cnf(c_0_400,negated_conjecture,
( ~ hskp31
| c0_1(a141) ),
c_0_319 ).
cnf(c_0_401,negated_conjecture,
( ~ hskp31
| c1_1(a141) ),
c_0_320 ).
cnf(c_0_402,negated_conjecture,
( ~ epred2_0
| ~ epred8_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_321,c_0_150]),c_0_168]),c_0_185]) ).
cnf(c_0_403,negated_conjecture,
( epred2_0
| epred17_0
| epred37_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_404,negated_conjecture,
( ~ epred8_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_324,c_0_157]),c_0_168]) ).
cnf(c_0_405,negated_conjecture,
( ~ epred6_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_325,c_0_272]),c_0_189]) ).
cnf(c_0_406,negated_conjecture,
( epred6_0
| epred8_0
| epred37_0
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp2
| ~ c3_1(a103) ),
c_0_328 ).
cnf(c_0_408,negated_conjecture,
( ~ hskp2
| c0_1(a103) ),
c_0_329 ).
cnf(c_0_409,negated_conjecture,
( ~ hskp12
| ~ c1_1(a113)
| hskp2
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp12
| c1_1(a113)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_331]),c_0_333]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp21
| c3_1(a143) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp21
| ~ c1_1(a143) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp21
| ~ c2_1(a143) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_414,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_334]) ).
fof(c_0_415,plain,
( ~ epred52_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp8
| ~ c0_1(a109) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp29
| c2_1(a128) ),
c_0_335 ).
cnf(c_0_418,negated_conjecture,
( ~ hskp29
| c1_1(a128) ),
c_0_336 ).
cnf(c_0_419,negated_conjecture,
( ~ hskp28
| c2_1(a118) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp28
| c1_1(a118) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp28
| c3_1(a118) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp6
| c2_1(a107) ),
c_0_337 ).
cnf(c_0_423,negated_conjecture,
( ~ hskp6
| c1_1(a107) ),
c_0_338 ).
fof(c_0_424,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp30
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_266]),c_0_265]),c_0_264]) ).
cnf(c_0_426,negated_conjecture,
( hskp24
| hskp30
| hskp31 ),
clause34 ).
fof(c_0_427,plain,
( ~ epred5_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp30
| c1_1(a131)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_264]),c_0_265]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp15
| c0_1(a117) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp30
| epred19_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp3
| c2_1(a104) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp3
| c0_1(a104) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp3
| ~ c1_1(a104) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
fof(c_0_434,plain,
( ~ epred13_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp25
| ~ c0_1(a167) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp0
| c2_1(a101) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp0
| c3_1(a101) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp0
| ~ c0_1(a101) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_439,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_341]) ).
fof(c_0_440,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_441,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_442,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_443,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_444,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_445,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_446,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_447,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_448,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_449,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_450,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_451,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_452,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp12
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_453,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp22
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_454,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_455,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_456,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_457,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_458,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp6
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_459,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp16
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_460,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp30
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_461,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause163]) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp13
| hskp10
| epred32_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_463,negated_conjecture,
( hskp10
| c0_1(X1)
| c1_1(X1)
| epred14_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_344]),c_0_345]) ).
cnf(c_0_464,negated_conjecture,
( ~ hskp13
| hskp8
| hskp17
| epred23_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp24
| hskp13
| epred8_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_466,negated_conjecture,
( ~ hskp10
| c1_1(a111)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]) ).
cnf(c_0_467,negated_conjecture,
( ~ hskp5
| hskp22
| c3_1(a106)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_180]),c_0_179]) ).
cnf(c_0_468,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp1
| c2_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_354]),c_0_126])]) ).
cnf(c_0_469,negated_conjecture,
( hskp8
| c0_1(a167)
| c3_1(a167)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_355]),c_0_122]) ).
cnf(c_0_470,negated_conjecture,
( ~ c0_1(X1)
| hskp12
| c1_1(X1)
| c3_1(X1)
| epred8_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_198]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp24
| hskp1
| c0_1(a163)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_344]),c_0_279]) ).
cnf(c_0_472,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred20_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_280]),c_0_357]) ).
cnf(c_0_473,negated_conjecture,
( ~ c0_1(X1)
| hskp29
| hskp21
| c1_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_198]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp15
| hskp6
| c2_1(a117)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]) ).
cnf(c_0_475,negated_conjecture,
( ~ c0_1(X1)
| hskp8
| hskp19
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_126])]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp24
| hskp5
| c0_1(a163) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_132]),c_0_279]) ).
cnf(c_0_477,negated_conjecture,
( ~ c0_1(X1)
| hskp30
| c1_1(X1)
| c2_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_363]),c_0_126])]) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp10
| hskp5
| c1_1(a111) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_132]),c_0_352]) ).
cnf(c_0_479,negated_conjecture,
( ~ hskp25
| hskp19
| c3_1(a167) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_355]),c_0_365]) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp8
| hskp19
| c2_1(a109) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_366]),c_0_367]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp5
| hskp19
| c3_1(a106) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_180]),c_0_177]) ).
cnf(c_0_482,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp24
| hskp1
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_126])]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp19
| c1_1(a135)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_190]) ).
cnf(c_0_484,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| epred11_0
| epred30_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp10
| c1_1(a111)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_373]),c_0_352]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp1
| c3_1(a102)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_274]),c_0_275]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp19
| c1_1(a135)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_198]),c_0_192]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp1
| ~ c3_1(a102)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_274]),c_0_275]) ).
cnf(c_0_489,negated_conjecture,
( hskp4
| hskp3
| c0_1(X1)
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_126])]) ).
cnf(c_0_490,negated_conjecture,
( ~ c3_1(X1)
| hskp28
| hskp15
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_126])]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp16
| c3_1(a126) ),
c_0_377 ).
cnf(c_0_492,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| epred43_0
| epred46_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_270]) ).
cnf(c_0_493,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp31
| hskp28
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_126])]) ).
cnf(c_0_494,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp29
| hskp4
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_126])]) ).
cnf(c_0_495,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp28
| hskp15
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_126])]) ).
cnf(c_0_496,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_382]),c_0_126])]) ).
cnf(c_0_497,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_383]),c_0_126])]) ).
cnf(c_0_498,negated_conjecture,
( ~ hskp16
| ~ c2_1(a126) ),
c_0_384 ).
cnf(c_0_499,negated_conjecture,
( epred2_0
| epred17_0
| epred27_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_500,negated_conjecture,
( ~ epred25_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_387,c_0_201]),c_0_172]) ).
cnf(c_0_501,negated_conjecture,
( epred25_0
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_502,negated_conjecture,
( epred27_0
| epred44_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_389]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp16
| c1_1(a126) ),
c_0_391 ).
cnf(c_0_504,negated_conjecture,
( hskp15
| hskp5
| epred30_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_392]) ).
cnf(c_0_505,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp12
| c2_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_393]),c_0_126])]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp13
| hskp8
| epred23_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_347]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp10
| hskp13
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_280]),c_0_352]),c_0_364]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp22
| ~ c2_1(a145) ),
c_0_395 ).
cnf(c_0_509,negated_conjecture,
( ~ hskp22
| ~ c0_1(a145) ),
c_0_396 ).
cnf(c_0_510,negated_conjecture,
( ~ hskp22
| ~ c1_1(a145) ),
c_0_397 ).
cnf(c_0_511,negated_conjecture,
( ~ hskp30
| hskp17
| epred21_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_398]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp31
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_399]),c_0_400]),c_0_401]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp1
| ~ c3_1(a102)
| hskp17
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_274]),c_0_276]) ).
cnf(c_0_514,negated_conjecture,
( ~ epred8_0
| ~ epred44_0
| epred37_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_404]) ).
cnf(c_0_515,negated_conjecture,
( ~ epred14_0
| epred8_0
| epred37_0
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp2
| epred38_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_191]),c_0_408]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp12
| hskp2
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp21
| c3_1(a143) ),
c_0_411 ).
cnf(c_0_519,negated_conjecture,
( ~ hskp21
| ~ c1_1(a143) ),
c_0_412 ).
cnf(c_0_520,negated_conjecture,
( ~ hskp21
| ~ c2_1(a143) ),
c_0_413 ).
cnf(c_0_521,negated_conjecture,
( ~ hskp24
| ~ c0_1(a163)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_414]),c_0_279]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp4
| epred2_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_251]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp10
| ~ c1_1(a111)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_270]),c_0_352]) ).
cnf(c_0_524,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_415]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp8
| ~ c0_1(a109) ),
c_0_416 ).
cnf(c_0_526,negated_conjecture,
( ~ hskp29
| ~ c3_1(a128)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_417]),c_0_418]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp29
| c3_1(a128)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_417]),c_0_418]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp28
| c2_1(a118) ),
c_0_419 ).
cnf(c_0_529,negated_conjecture,
( ~ hskp28
| c1_1(a118) ),
c_0_420 ).
cnf(c_0_530,negated_conjecture,
( ~ hskp28
| c3_1(a118) ),
c_0_421 ).
cnf(c_0_531,negated_conjecture,
( ~ hskp6
| ~ c3_1(a107)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_422]),c_0_423]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp6
| c3_1(a107)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_422]),c_0_423]) ).
cnf(c_0_533,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(split_equiv,[status(thm)],[c_0_424]) ).
cnf(c_0_534,negated_conjecture,
( hskp31
| hskp24
| epred37_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_535,negated_conjecture,
( hskp16
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_427]),c_0_126])]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp30
| epred21_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_428]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp15
| c0_1(a117) ),
c_0_429 ).
cnf(c_0_538,negated_conjecture,
( hskp31
| hskp24
| epred19_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_430,c_0_426]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp3
| c2_1(a104) ),
c_0_431 ).
cnf(c_0_540,negated_conjecture,
( ~ hskp3
| c0_1(a104) ),
c_0_432 ).
cnf(c_0_541,negated_conjecture,
( ~ hskp3
| ~ c1_1(a104) ),
c_0_433 ).
cnf(c_0_542,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_434]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp25
| ~ c0_1(a167) ),
c_0_435 ).
cnf(c_0_544,negated_conjecture,
( ~ hskp0
| c2_1(a101) ),
c_0_436 ).
cnf(c_0_545,negated_conjecture,
( ~ hskp0
| c3_1(a101) ),
c_0_437 ).
cnf(c_0_546,negated_conjecture,
( ~ hskp0
| ~ c0_1(a101) ),
c_0_438 ).
cnf(c_0_547,negated_conjecture,
( ~ hskp9
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_139]),c_0_140]),c_0_145]) ).
cnf(c_0_548,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_440]),c_0_126])]) ).
cnf(c_0_549,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_132]) ).
cnf(c_0_550,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| epred2_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_373]) ).
cnf(c_0_551,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3) ),
c_0_441 ).
cnf(c_0_552,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c2_1(X2)
| c2_1(X1) ),
c_0_442 ).
cnf(c_0_553,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c2_1(X2) ),
c_0_443 ).
cnf(c_0_554,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2) ),
c_0_444 ).
cnf(c_0_555,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2) ),
c_0_445 ).
cnf(c_0_556,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_446 ).
cnf(c_0_557,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2) ),
c_0_447 ).
cnf(c_0_558,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_448 ).
cnf(c_0_559,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2) ),
c_0_449 ).
cnf(c_0_560,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| c0_1(X2)
| c3_1(X1) ),
c_0_450 ).
cnf(c_0_561,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c1_1(X2)
| c0_1(X2) ),
c_0_451 ).
cnf(c_0_562,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp12
| c2_1(X2)
| c3_1(X1) ),
c_0_452 ).
cnf(c_0_563,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp22
| c1_1(X2)
| c3_1(X1) ),
c_0_453 ).
cnf(c_0_564,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c0_1(X2) ),
c_0_454 ).
cnf(c_0_565,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_455 ).
cnf(c_0_566,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
c_0_456 ).
cnf(c_0_567,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp2
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_457 ).
cnf(c_0_568,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp6
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_458 ).
cnf(c_0_569,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp16
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
c_0_459 ).
cnf(c_0_570,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp30
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_460 ).
cnf(c_0_571,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_461 ).
cnf(c_0_572,negated_conjecture,
( hskp15
| hskp5
| hskp10
| epred32_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_462,c_0_392]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp1
| hskp10
| c0_1(a102)
| epred14_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_463]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp24
| epred8_0
| epred20_0
| hskp8
| hskp17
| epred23_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp10
| epred41_0
| hskp8
| c0_1(a111)
| c3_1(a111)
| epred23_0 ),
inference(spm,[status(thm)],[c_0_277,c_0_466]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp5
| ~ c0_1(a106)
| ~ c1_1(a106)
| hskp22
| epred24_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_467]) ).
cnf(c_0_577,negated_conjecture,
( ~ c1_1(a167)
| hskp8
| c0_1(a167)
| epred23_0
| hskp1
| c2_1(a167)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp24
| hskp1
| epred14_0
| hskp12
| c1_1(a163)
| c3_1(a163)
| epred8_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_579,negated_conjecture,
( ~ c1_1(a109)
| ~ hskp8
| c0_1(a109)
| epred20_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_472]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp24
| hskp1
| epred14_0
| hskp29
| hskp21
| c1_1(a163)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_473,c_0_471]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp15
| ~ c0_1(a117)
| hskp6
| epred10_0
| hskp29
| hskp21
| c1_1(a117) ),
inference(spm,[status(thm)],[c_0_358,c_0_474]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp24
| hskp5
| hskp8
| hskp19
| c3_1(a163)
| c2_1(a163) ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp24
| hskp5
| hskp30
| c1_1(a163)
| c2_1(a163)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_477,c_0_476]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp10
| hskp5
| hskp19
| c3_1(a111)
| c2_1(a111) ),
inference(spm,[status(thm)],[c_0_193,c_0_478]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp10
| hskp5
| hskp8
| c0_1(a111)
| c3_1(a111)
| epred23_0 ),
inference(spm,[status(thm)],[c_0_277,c_0_478]) ).
cnf(c_0_586,negated_conjecture,
( ~ hskp25
| ~ c1_1(a167)
| hskp19
| hskp1
| c2_1(a167)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_479]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp8
| ~ c1_1(a109)
| hskp19
| c3_1(a109)
| epred30_0 ),
inference(spm,[status(thm)],[c_0_288,c_0_480]) ).
cnf(c_0_588,negated_conjecture,
( ~ hskp8
| hskp19
| c0_1(a109)
| c3_1(a109)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_480]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp5
| ~ c0_1(a106)
| ~ c1_1(a106)
| hskp19
| epred21_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_481]) ).
cnf(c_0_590,negated_conjecture,
( ~ hskp19
| ~ c0_1(a135)
| epred48_0
| hskp24
| hskp1
| c2_1(a135) ),
inference(spm,[status(thm)],[c_0_482,c_0_483]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp8
| c0_1(a109)
| epred11_0
| epred30_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_366]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp10
| epred40_0
| hskp8
| c0_1(a111)
| c3_1(a111)
| epred23_0 ),
inference(spm,[status(thm)],[c_0_277,c_0_485]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp1
| epred39_0
| c0_1(a102)
| c1_1(a102)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_486]) ).
cnf(c_0_594,negated_conjecture,
( ~ hskp19
| ~ c0_1(a135)
| epred8_0
| hskp24
| hskp1
| c2_1(a135) ),
inference(spm,[status(thm)],[c_0_482,c_0_487]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp1
| hskp5
| c0_1(a102)
| c1_1(a102)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_132]) ).
cnf(c_0_596,negated_conjecture,
( ~ hskp24
| hskp4
| hskp3
| c0_1(a163)
| c1_1(a163) ),
inference(spm,[status(thm)],[c_0_278,c_0_489]) ).
cnf(c_0_597,negated_conjecture,
( ~ hskp16
| hskp28
| hskp15
| c0_1(a126)
| c2_1(a126) ),
inference(spm,[status(thm)],[c_0_490,c_0_491]) ).
cnf(c_0_598,negated_conjecture,
( ~ hskp12
| hskp28
| hskp15
| c0_1(a113)
| c2_1(a113) ),
inference(spm,[status(thm)],[c_0_490,c_0_331]) ).
cnf(c_0_599,negated_conjecture,
( ~ hskp25
| c0_1(a167)
| epred43_0
| epred46_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_492,c_0_355]) ).
cnf(c_0_600,negated_conjecture,
( ~ hskp30
| ~ c0_1(a131)
| hskp31
| hskp28
| c1_1(a131) ),
inference(spm,[status(thm)],[c_0_493,c_0_264]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp15
| ~ c0_1(a117)
| hskp31
| hskp28
| c1_1(a117) ),
inference(spm,[status(thm)],[c_0_493,c_0_360]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp5
| ~ c0_1(a106)
| hskp29
| hskp4
| c2_1(a106) ),
inference(spm,[status(thm)],[c_0_494,c_0_180]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp4
| ~ c0_1(a105)
| hskp28
| hskp15
| c1_1(a105) ),
inference(spm,[status(thm)],[c_0_495,c_0_204]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp31
| ~ c0_1(a141)
| hskp24
| hskp1
| c2_1(a141) ),
inference(spm,[status(thm)],[c_0_482,c_0_401]) ).
cnf(c_0_605,negated_conjecture,
( ~ hskp5
| ~ c0_1(a106)
| hskp24
| hskp1
| c2_1(a106) ),
inference(spm,[status(thm)],[c_0_482,c_0_180]) ).
cnf(c_0_606,negated_conjecture,
( ~ hskp17
| c0_1(a132)
| c1_1(a132)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_212]) ).
cnf(c_0_607,negated_conjecture,
( ~ c0_1(a106)
| ~ c3_1(a106)
| ~ hskp5
| epred51_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_496]) ).
cnf(c_0_608,negated_conjecture,
( ~ c3_1(a167)
| ~ hskp25
| c0_1(a167)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_497]) ).
cnf(c_0_609,negated_conjecture,
( ~ c3_1(a126)
| ~ hskp16
| c0_1(a126)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_498,c_0_497]) ).
cnf(c_0_610,negated_conjecture,
( ~ c3_1(a113)
| ~ hskp12
| c0_1(a113)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_497]) ).
cnf(c_0_611,negated_conjecture,
( ~ c0_1(a135)
| ~ hskp19
| c3_1(a135)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_161]) ).
cnf(c_0_612,negated_conjecture,
( ~ c0_1(a106)
| ~ hskp5
| c3_1(a106)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_161]) ).
cnf(c_0_613,negated_conjecture,
( ~ c0_1(a163)
| ~ hskp24
| c3_1(a163)
| epred47_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_161]) ).
cnf(c_0_614,negated_conjecture,
( ~ hskp16
| ~ c1_1(a126)
| hskp1
| c2_1(a126)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_491]) ).
cnf(c_0_615,negated_conjecture,
( ~ epred8_0
| ~ epred44_0
| epred27_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_499]),c_0_404]) ).
cnf(c_0_616,negated_conjecture,
( ~ hskp4
| hskp10
| c0_1(a105)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_142]),c_0_143]) ).
cnf(c_0_617,negated_conjecture,
( epred44_0
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_502]) ).
cnf(c_0_618,negated_conjecture,
( ~ hskp16
| ~ c0_1(a126)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_178]),c_0_503]) ).
cnf(c_0_619,negated_conjecture,
( hskp15
| epred30_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_504]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp5
| hskp12
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_180]),c_0_179]),c_0_177]) ).
cnf(c_0_621,negated_conjecture,
( ~ hskp10
| hskp8
| epred20_0
| epred23_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_622,negated_conjecture,
( ~ hskp22
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_351]),c_0_509]),c_0_510]) ).
cnf(c_0_623,negated_conjecture,
( hskp24
| hskp17
| epred21_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_426]),c_0_512]) ).
cnf(c_0_624,negated_conjecture,
( ~ hskp1
| hskp17
| epred27_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_513,c_0_486]) ).
cnf(c_0_625,negated_conjecture,
( ~ epred14_0
| ~ epred44_0
| epred37_0
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_626,negated_conjecture,
( ~ hskp10
| epred20_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_507]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp12
| epred2_0
| epred12_0
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_517]) ).
cnf(c_0_628,negated_conjecture,
( ~ hskp21
| hskp6
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_518]),c_0_519]),c_0_520]) ).
cnf(c_0_629,negated_conjecture,
( ~ hskp24
| hskp5
| epred8_0 ),
inference(spm,[status(thm)],[c_0_348,c_0_476]) ).
cnf(c_0_630,negated_conjecture,
( ~ hskp24
| hskp5
| epred16_0 ),
inference(spm,[status(thm)],[c_0_521,c_0_476]) ).
cnf(c_0_631,negated_conjecture,
( epred2_0
| epred8_0
| epred19_0
| epred38_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_522,c_0_327]) ).
cnf(c_0_632,negated_conjecture,
( ~ hskp10
| hskp5
| epred46_0 ),
inference(spm,[status(thm)],[c_0_523,c_0_478]) ).
cnf(c_0_633,negated_conjecture,
( ~ hskp5
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_524]),c_0_179]),c_0_180]) ).
cnf(c_0_634,negated_conjecture,
( ~ hskp24
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_370]),c_0_279]),c_0_281]) ).
cnf(c_0_635,negated_conjecture,
( ~ hskp8
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_270]),c_0_366]),c_0_525]) ).
cnf(c_0_636,negated_conjecture,
( ~ hskp29
| epred30_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_637,negated_conjecture,
( ~ hskp28
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_528]),c_0_529]),c_0_530]) ).
cnf(c_0_638,negated_conjecture,
( ~ hskp6
| epred30_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_639,negated_conjecture,
( ~ hskp1
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_274]),c_0_275]),c_0_276]) ).
cnf(c_0_640,negated_conjecture,
( ~ hskp24
| c0_1(a163)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_373]),c_0_279]) ).
cnf(c_0_641,negated_conjecture,
( hskp24
| epred21_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_534]) ).
cnf(c_0_642,negated_conjecture,
( ~ hskp24
| hskp16
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_535]),c_0_279]),c_0_281]) ).
cnf(c_0_643,negated_conjecture,
( hskp24
| epred21_0
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_426]),c_0_512]) ).
cnf(c_0_644,negated_conjecture,
( ~ hskp15
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_360]),c_0_537]),c_0_361]) ).
cnf(c_0_645,negated_conjecture,
( hskp24
| epred19_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_538]) ).
cnf(c_0_646,negated_conjecture,
( ~ hskp16
| ~ c0_1(a126)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_491]),c_0_503]) ).
cnf(c_0_647,negated_conjecture,
( ~ hskp3
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_539]),c_0_540]),c_0_541]) ).
cnf(c_0_648,negated_conjecture,
( ~ hskp24
| c0_1(a163)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_542]),c_0_279]) ).
cnf(c_0_649,negated_conjecture,
( ~ hskp25
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_302]),c_0_355]),c_0_543]) ).
cnf(c_0_650,negated_conjecture,
( ~ hskp0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_544]),c_0_545]),c_0_546]) ).
cnf(c_0_651,negated_conjecture,
( hskp5
| hskp4
| epred4_0 ),
inference(spm,[status(thm)],[c_0_547,c_0_182]) ).
cnf(c_0_652,negated_conjecture,
( ~ hskp24
| hskp0
| c0_1(a163)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_548]),c_0_279]) ).
cnf(c_0_653,negated_conjecture,
( ~ hskp1
| hskp5
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_141]),c_0_275]) ).
cnf(c_0_654,negated_conjecture,
( ~ hskp1
| hskp5
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_549]),c_0_275]) ).
cnf(c_0_655,negated_conjecture,
( ~ hskp1
| epred2_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_550]),c_0_275]) ).
cnf(c_0_656,negated_conjecture,
( ~ epred37_0
| ~ epred43_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_551,c_0_125]),c_0_184]),c_0_240]) ).
cnf(c_0_657,negated_conjecture,
( ~ epred19_0
| ~ epred51_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_552,c_0_382]),c_0_415]),c_0_128]) ).
cnf(c_0_658,negated_conjecture,
( ~ epred16_0
| ~ epred37_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_553,c_0_242]),c_0_334]),c_0_184]) ).
cnf(c_0_659,negated_conjecture,
( ~ epred2_0
| ~ epred21_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_554,c_0_383]),c_0_185]),c_0_220]) ).
cnf(c_0_660,negated_conjecture,
( ~ epred43_0
| ~ epred47_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_555,c_0_146]),c_0_300]),c_0_240]) ).
cnf(c_0_661,negated_conjecture,
( ~ epred30_0
| ~ epred46_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_556,c_0_146]),c_0_238]),c_0_227]) ).
cnf(c_0_662,negated_conjecture,
( ~ epred41_0
| ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_283]),c_0_424]),c_0_240]) ).
cnf(c_0_663,negated_conjecture,
( ~ epred38_0
| ~ epred39_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_558,c_0_135]),c_0_304]),c_0_303]) ).
cnf(c_0_664,negated_conjecture,
( ~ epred36_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_354]),c_0_184]) ).
cnf(c_0_665,negated_conjecture,
( ~ epred6_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_560,c_0_224]),c_0_189]) ).
cnf(c_0_666,negated_conjecture,
( ~ epred21_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_561,c_0_229]),c_0_220]) ).
cnf(c_0_667,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_393]),c_0_238]) ).
cnf(c_0_668,negated_conjecture,
( ~ epred24_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_563,c_0_285]),c_0_172]) ).
cnf(c_0_669,negated_conjecture,
( ~ epred21_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_564,c_0_233]),c_0_220]) ).
cnf(c_0_670,negated_conjecture,
( ~ epred2_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_287]),c_0_185]) ).
cnf(c_0_671,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_566,c_0_236]),c_0_220]) ).
cnf(c_0_672,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_567,c_0_259]),c_0_434]) ).
cnf(c_0_673,negated_conjecture,
( ~ epred10_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_568,c_0_290]),c_0_241]) ).
cnf(c_0_674,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_427]),c_0_189]) ).
cnf(c_0_675,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_363]),c_0_341]) ).
cnf(c_0_676,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_571,c_0_440]),c_0_185]) ).
cnf(c_0_677,negated_conjecture,
( hskp25
| hskp16
| hskp5 ),
clause36 ).
cnf(c_0_678,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_345,c_0_617,c_0_618,c_0_619,c_0_208,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_469,c_0_626,c_0_213,c_0_471,c_0_627,c_0_628,c_0_629,c_0_630,c_0_476,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_637,c_0_638,c_0_639,c_0_640,c_0_641,c_0_534,c_0_425,c_0_322,c_0_326,c_0_250,c_0_642,c_0_504,c_0_643,c_0_644,c_0_645,c_0_512,c_0_339,c_0_646,c_0_647,c_0_648,c_0_649,c_0_348,c_0_256,c_0_650,c_0_651,c_0_652,c_0_252,c_0_251,c_0_653,c_0_654,c_0_655,c_0_210,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_402,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_247,c_0_500,c_0_668,c_0_669,c_0_670,c_0_671,c_0_404,c_0_405,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_276,c_0_275,c_0_143,c_0_177,c_0_350,c_0_364,c_0_352,c_0_332,c_0_333,c_0_361,c_0_498,c_0_205,c_0_206,c_0_369,c_0_190,c_0_278,c_0_281,c_0_279,c_0_367,c_0_525,c_0_365,c_0_543,c_0_331,c_0_491,c_0_399,c_0_180,c_0_366,c_0_503,c_0_355,c_0_179,c_0_537,c_0_192,c_0_265,c_0_400,c_0_426,c_0_677,c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN466-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n003.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 11:01:01 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 20.64/3.32 % Version: 3.5.1
% 20.64/3.32 % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.64/3.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.64/3.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.64/3.32 % Starting new_bool_3 with 300s (1) cores
% 20.64/3.32 % Starting new_bool_1 with 300s (1) cores
% 20.64/3.32 % Starting sh5l with 300s (1) cores
% 20.64/3.32 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4123997 completed with status 0
% 20.64/3.32 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.64/3.32 % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.64/3.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.64/3.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.64/3.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.64/3.32 % No SInE strategy applied
% 20.64/3.32 % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.64/3.32 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.64/3.32 % Starting SubtermCWHack with 151s (1) cores
% 20.64/3.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.64/3.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 20.64/3.32 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 20.64/3.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 20.64/3.32 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4124004 completed with status 0
% 20.64/3.32 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.64/3.32 % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.64/3.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.64/3.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.64/3.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.64/3.32 % No SInE strategy applied
% 20.64/3.32 % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.64/3.32 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.64/3.32 % Starting SubtermCWHack with 151s (1) cores
% 20.64/3.32 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.64/3.32 % Preprocessing time : 0.003 s
% 20.64/3.32 % SatCheck found unsatisfiable ground set
% 20.64/3.32
% 20.64/3.32 % Proof found!
% 20.64/3.32 % SZS status Unsatisfiable
% 20.64/3.32 % SZS output start CNFRefutation
% See solution above
% 20.64/3.33 % Parsed axioms : 196
% 20.64/3.33 % Removed by relevancy pruning/SinE : 0
% 20.64/3.33 % Initial clauses : 196
% 20.64/3.33 % Removed in clause preprocessing : 0
% 20.64/3.33 % Initial clauses in saturation : 196
% 20.64/3.33 % Processed clauses : 7210
% 20.64/3.33 % ...of these trivial : 0
% 20.64/3.33 % ...subsumed : 2210
% 20.64/3.33 % ...remaining for further processing : 5000
% 20.64/3.33 % Other redundant clauses eliminated : 0
% 20.64/3.33 % Clauses deleted for lack of memory : 0
% 20.64/3.33 % Backward-subsumed : 1782
% 20.64/3.33 % Backward-rewritten : 58
% 20.64/3.33 % Generated clauses : 49451
% 20.64/3.33 % ...of the previous two non-redundant : 44564
% 20.64/3.33 % ...aggressively subsumed : 0
% 20.64/3.33 % Contextual simplify-reflections : 653
% 20.64/3.33 % Paramodulations : 49364
% 20.64/3.33 % Factorizations : 0
% 20.64/3.33 % NegExts : 0
% 20.64/3.33 % Equation resolutions : 0
% 20.64/3.33 % Disequality decompositions : 0
% 20.64/3.33 % Total rewrite steps : 91
% 20.64/3.33 % ...of those cached : 90
% 20.64/3.33 % Propositional unsat checks : 1
% 20.64/3.33 % Propositional check models : 0
% 20.64/3.33 % Propositional check unsatisfiable : 1
% 20.64/3.33 % Propositional clauses : 40034
% 20.64/3.33 % Propositional clauses after purity: 39243
% 20.64/3.33 % Propositional unsat core size : 166
% 20.64/3.33 % Propositional preprocessing time : 0.000
% 20.64/3.33 % Propositional encoding time : 0.031
% 20.64/3.33 % Propositional solver time : 0.087
% 20.64/3.33 % Success case prop preproc time : 0.000
% 20.64/3.33 % Success case prop encoding time : 0.031
% 20.64/3.33 % Success case prop solver time : 0.087
% 20.64/3.33 % Current number of processed clauses : 3126
% 20.64/3.33 % Positive orientable unit clauses : 1
% 20.64/3.33 % Positive unorientable unit clauses: 0
% 20.64/3.33 % Negative unit clauses : 0
% 20.64/3.33 % Non-unit-clauses : 3125
% 20.64/3.33 % Current number of unprocessed clauses: 36908
% 20.64/3.33 % ...number of literals in the above : 248403
% 20.64/3.33 % Current number of archived formulas : 0
% 20.64/3.33 % Current number of archived clauses : 1840
% 20.64/3.33 % Clause-clause subsumption calls (NU) : 3805951
% 20.64/3.33 % Rec. Clause-clause subsumption calls : 306056
% 20.64/3.33 % Non-unit clause-clause subsumptions : 4695
% 20.64/3.33 % Unit Clause-clause subsumption calls : 56
% 20.64/3.33 % Rewrite failures with RHS unbound : 0
% 20.64/3.33 % BW rewrite match attempts : 1
% 20.64/3.33 % BW rewrite match successes : 1
% 20.64/3.33 % Condensation attempts : 7210
% 20.64/3.33 % Condensation successes : 0
% 20.64/3.33 % Termbank termtop insertions : 480691
% 20.64/3.33 % Search garbage collected termcells : 491
% 20.64/3.33
% 20.64/3.33 % -------------------------------------------------
% 20.64/3.33 % User time : 2.607 s
% 20.64/3.33 % System time : 0.067 s
% 20.64/3.33 % Total time : 2.674 s
% 20.64/3.33 % Maximum resident set size: 3788 pages
% 20.64/3.33
% 20.64/3.33 % -------------------------------------------------
% 20.64/3.33 % User time : 12.337 s
% 20.64/3.33 % System time : 0.270 s
% 20.64/3.33 % Total time : 12.607 s
% 20.64/3.33 % Maximum resident set size: 4608 pages
% 20.64/3.33 % E exiting
%------------------------------------------------------------------------------