%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN465-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 32.06s 9.52s
% Output : CNFRefutation 32.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 176
% Syntax : Number of formulae : 812 ( 2 unt; 0 def)
% Number of atoms : 3114 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3767 (1465 ~;2260 |; 0 &)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 77 ( 76 usr; 73 prp; 0-1 aty)
% Number of functors : 29 ( 29 usr; 29 con; 0-0 aty)
% Number of variables : 347 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause8,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause20,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp16
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause33,negated_conjecture,
( hskp24
| hskp12
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp2
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause64,negated_conjecture,
( ~ hskp16
| c2_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause65,negated_conjecture,
( ~ hskp16
| c3_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause107,negated_conjecture,
( ~ hskp16
| ~ c1_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause71,negated_conjecture,
( ~ hskp12
| c3_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause70,negated_conjecture,
( ~ hskp12
| c1_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause113,negated_conjecture,
( ~ hskp12
| ~ c2_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause77,negated_conjecture,
( ~ hskp7
| c1_1(a12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( ~ hskp7
| c0_1(a12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause122,negated_conjecture,
( ~ hskp7
| ~ c3_1(a12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause83,negated_conjecture,
( ~ hskp2
| c2_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause131,negated_conjecture,
( ~ hskp2
| ~ c1_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause130,negated_conjecture,
( ~ hskp2
| ~ c0_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause43,negated_conjecture,
( ~ hskp30
| c2_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause44,negated_conjecture,
( ~ hskp30
| c3_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause90,negated_conjecture,
( ~ hskp26
| ~ c1_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause89,negated_conjecture,
( ~ hskp26
| ~ c0_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause91,negated_conjecture,
( ~ hskp26
| ~ c3_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause85,negated_conjecture,
( ~ hskp1
| c2_1(a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause84,negated_conjecture,
( ~ hskp1
| c0_1(a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause132,negated_conjecture,
( ~ hskp1
| ~ c1_1(a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(clause40,negated_conjecture,
( ~ hskp31
| c1_1(a76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause41,negated_conjecture,
( ~ hskp31
| c3_1(a76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause126,negated_conjecture,
( ~ hskp5
| ~ c1_1(a9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause125,negated_conjecture,
( ~ hskp5
| ~ c0_1(a9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause127,negated_conjecture,
( ~ hskp5
| ~ c2_1(a9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause42,negated_conjecture,
( ~ hskp30
| c0_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause34,negated_conjecture,
( hskp26
| hskp30
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause54,negated_conjecture,
( ~ hskp24
| c3_1(a52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause93,negated_conjecture,
( ~ hskp24
| ~ c0_1(a52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause94,negated_conjecture,
( ~ hskp24
| ~ c2_1(a52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause39,negated_conjecture,
( ~ hskp31
| c0_1(a76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause98,negated_conjecture,
( ~ hskp22
| ~ c2_1(a40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause97,negated_conjecture,
( ~ hskp22
| ~ c0_1(a40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause99,negated_conjecture,
( ~ hskp22
| ~ c3_1(a40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause86,negated_conjecture,
( ~ hskp0
| c0_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
cnf(clause133,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause134,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause79,negated_conjecture,
( ~ hskp4
| c1_1(a7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause80,negated_conjecture,
( ~ hskp4
| c3_1(a7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause73,negated_conjecture,
( ~ hskp10
| c1_1(a17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause116,negated_conjecture,
( ~ hskp10
| ~ c0_1(a17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause117,negated_conjecture,
( ~ hskp10
| ~ c2_1(a17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause165,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp1
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
cnf(clause67,negated_conjecture,
( ~ hskp14
| c2_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause110,negated_conjecture,
( ~ hskp14
| ~ c0_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause68,negated_conjecture,
( ~ hskp14
| c3_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp4
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause101,negated_conjecture,
( ~ hskp21
| ~ c3_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause100,negated_conjecture,
( ~ hskp21
| ~ c0_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause108,negated_conjecture,
( ~ hskp15
| ~ c2_1(a29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ hskp15
| ~ c3_1(a29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause66,negated_conjecture,
( ~ hskp15
| c1_1(a29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause56,negated_conjecture,
( ~ hskp21
| c2_1(a39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause171,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause38,negated_conjecture,
( hskp5
| hskp24
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause177,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause181,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(clause123,negated_conjecture,
( ~ hskp6
| ~ c1_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause124,negated_conjecture,
( ~ hskp6
| ~ c3_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause78,negated_conjecture,
( ~ hskp6
| c2_1(a10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause129,negated_conjecture,
( ~ hskp3
| ~ c2_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause82,negated_conjecture,
( ~ hskp3
| c3_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( ~ hskp3
| c0_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause170,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp7
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(clause50,negated_conjecture,
( ~ hskp28
| c2_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause48,negated_conjecture,
( ~ hskp28
| c0_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause49,negated_conjecture,
( ~ hskp28
| c1_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause75,negated_conjecture,
( ~ hskp8
| c2_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause74,negated_conjecture,
( ~ hskp8
| c1_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause121,negated_conjecture,
( ~ hskp8
| ~ c0_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp8
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
cnf(clause72,negated_conjecture,
( ~ hskp11
| c0_1(a21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause114,negated_conjecture,
( ~ hskp11
| ~ c2_1(a21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause158,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause139,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| hskp0
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
cnf(clause115,negated_conjecture,
( ~ hskp11
| ~ c3_1(a21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause159,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp11
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| hskp30
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause144,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp23
| hskp30
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp6
| hskp17
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp15
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause154,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| hskp28
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause149,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp17
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(clause161,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp31
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(clause178,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause46,negated_conjecture,
( ~ hskp29
| c2_1(a8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause47,negated_conjecture,
( ~ hskp29
| c3_1(a8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause45,negated_conjecture,
( ~ hskp29
| c1_1(a8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause174,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause191,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause60,negated_conjecture,
( ~ hskp18
| c1_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause105,negated_conjecture,
( ~ hskp18
| ~ c3_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause51,negated_conjecture,
( ~ hskp27
| c3_1(a65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause59,negated_conjecture,
( ~ hskp19
| c1_1(a35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause103,negated_conjecture,
( ~ hskp19
| ~ c0_1(a35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause104,negated_conjecture,
( ~ hskp19
| ~ c3_1(a35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause119,negated_conjecture,
( ~ hskp9
| ~ c2_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause118,negated_conjecture,
( ~ hskp9
| ~ c1_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause120,negated_conjecture,
( ~ hskp9
| ~ c3_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause95,negated_conjecture,
( ~ hskp23
| ~ c1_1(a42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause55,negated_conjecture,
( ~ hskp23
| c0_1(a42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
cnf(clause96,negated_conjecture,
( ~ hskp23
| ~ c3_1(a42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause106,negated_conjecture,
( ~ hskp17
| ~ c3_1(a32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause62,negated_conjecture,
( ~ hskp17
| c0_1(a32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause196,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
cnf(clause194,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause195,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause193,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause192,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause189,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause188,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(clause184,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause186,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause185,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause183,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp22
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause180,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp28
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(clause182,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp30
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(clause176,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause169,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
cnf(clause173,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause37,negated_conjecture,
( hskp27
| hskp6
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause88,negated_conjecture,
( ~ hskp27
| ~ c2_1(a65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause87,negated_conjecture,
( ~ hskp27
| ~ c1_1(a65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause8]) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause20]) ).
cnf(c_0_137,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp16
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_138,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
c_0_134 ).
cnf(c_0_139,negated_conjecture,
( hskp24
| hskp12
| hskp31 ),
clause33 ).
cnf(c_0_140,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
c_0_135 ).
cnf(c_0_141,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
c_0_136 ).
cnf(c_0_142,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp2
| hskp12 ),
inference(fof_simplification,[status(thm)],[clause164]) ).
fof(c_0_143,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp16
| c2_1(a30) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp16
| c3_1(a30) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp16
| ~ c1_1(a30) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_147,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp16
| c2_1(X1) ),
c_0_137 ).
cnf(c_0_148,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp12
| c3_1(a24) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp12
| c1_1(a24) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp12
| ~ c2_1(a24) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
fof(c_0_152,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp7
| c1_1(a12) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp7
| c0_1(a12) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp7
| ~ c3_1(a12) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp2
| c2_1(a5) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp2
| ~ c1_1(a5) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
fof(c_0_158,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp2
| ~ c0_1(a5) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp2
| hskp12 ),
c_0_142 ).
cnf(c_0_161,negated_conjecture,
( ~ hskp30
| c2_1(a20) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp30
| c3_1(a20) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_163,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_143]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp16
| c2_1(a30) ),
c_0_144 ).
cnf(c_0_165,negated_conjecture,
( ~ hskp16
| c3_1(a30) ),
c_0_145 ).
cnf(c_0_166,negated_conjecture,
( ~ hskp16
| ~ c1_1(a30) ),
c_0_146 ).
cnf(c_0_167,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp16
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp12
| c3_1(a24) ),
c_0_149 ).
cnf(c_0_169,negated_conjecture,
( ~ hskp12
| c1_1(a24) ),
c_0_150 ).
cnf(c_0_170,negated_conjecture,
( ~ hskp12
| ~ c2_1(a24) ),
c_0_151 ).
fof(c_0_171,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp30 ) ),
introduced(definition) ).
fof(c_0_172,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_175,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp26
| ~ c1_1(a57) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp26
| ~ c0_1(a57) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp26
| ~ c3_1(a57) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_179,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_152]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp7
| c1_1(a12) ),
c_0_153 ).
cnf(c_0_181,negated_conjecture,
( ~ hskp7
| c0_1(a12) ),
c_0_154 ).
cnf(c_0_182,negated_conjecture,
( ~ hskp7
| ~ c3_1(a12) ),
c_0_155 ).
fof(c_0_183,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp1
| c2_1(a4) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp1
| c0_1(a4) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp1
| ~ c1_1(a4) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
fof(c_0_187,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_188,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp2
| c2_1(a5) ),
c_0_156 ).
cnf(c_0_190,negated_conjecture,
( ~ hskp2
| ~ c1_1(a5) ),
c_0_157 ).
cnf(c_0_191,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_158]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp2
| ~ c0_1(a5) ),
c_0_159 ).
cnf(c_0_193,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_148])]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp30
| c2_1(a20) ),
c_0_161 ).
cnf(c_0_195,negated_conjecture,
( ~ hskp30
| c3_1(a20) ),
c_0_162 ).
cnf(c_0_196,negated_conjecture,
( ~ hskp16
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]),c_0_166]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp12
| hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_170]) ).
cnf(c_0_198,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp30
| c3_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_148])]) ).
cnf(c_0_199,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred38_0 ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_200,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_148])]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp31
| c1_1(a76) ),
inference(fof_simplification,[status(thm)],[clause40]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp31
| c3_1(a76) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
cnf(c_0_203,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_174]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp5
| ~ c1_1(a9) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
fof(c_0_205,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp5
| ~ c0_1(a9) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp5
| ~ c2_1(a9) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
fof(c_0_208,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| hskp21 ) ),
introduced(definition) ).
cnf(c_0_209,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| c3_1(X1)
| c0_1(X1) ),
c_0_175 ).
cnf(c_0_210,negated_conjecture,
( ~ hskp30
| c0_1(a20) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp26
| ~ c1_1(a57) ),
c_0_176 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp26
| ~ c0_1(a57) ),
c_0_177 ).
cnf(c_0_213,negated_conjecture,
( ~ hskp26
| ~ c3_1(a57) ),
c_0_178 ).
cnf(c_0_214,negated_conjecture,
( ~ hskp7
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_215,negated_conjecture,
( hskp26
| hskp30
| hskp7 ),
clause34 ).
cnf(c_0_216,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_183]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp1
| c2_1(a4) ),
c_0_184 ).
cnf(c_0_218,negated_conjecture,
( ~ hskp1
| c0_1(a4) ),
c_0_185 ).
cnf(c_0_219,negated_conjecture,
( ~ hskp1
| ~ c1_1(a4) ),
c_0_186 ).
cnf(c_0_220,negated_conjecture,
( ~ hskp24
| c3_1(a52) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp24
| ~ c0_1(a52) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp24
| ~ c2_1(a52) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp31
| c0_1(a76) ),
inference(fof_simplification,[status(thm)],[clause39]) ).
cnf(c_0_224,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_187]) ).
cnf(c_0_225,negated_conjecture,
( ~ c3_1(X1)
| hskp1
| c0_1(X1)
| c2_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_188]),c_0_148])]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp2
| ~ c3_1(a5)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_189]),c_0_190]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp2
| c3_1(a5)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp30
| ~ c1_1(a20)
| hskp12
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp30
| c1_1(a20)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_194]),c_0_195]) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp12
| epred15_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp7
| hskp30
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp22
| ~ c2_1(a40) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
fof(c_0_233,plain,
( ~ epred2_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp22
| ~ c0_1(a40) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp22
| ~ c3_1(a40) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
fof(c_0_236,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| hskp22 ) ),
introduced(definition) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp0
| c0_1(a1) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
fof(c_0_240,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp4
| c1_1(a7) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp4
| c3_1(a7) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
fof(c_0_243,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_244,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp31
| c1_1(a76) ),
c_0_201 ).
cnf(c_0_246,negated_conjecture,
( ~ hskp31
| c3_1(a76) ),
c_0_202 ).
fof(c_0_247,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_248,negated_conjecture,
( ~ c0_1(X1)
| hskp30
| c3_1(X1)
| epred11_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_203]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp10
| c1_1(a17) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp10
| ~ c0_1(a17) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp5
| ~ c1_1(a9) ),
c_0_204 ).
cnf(c_0_252,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_205]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp5
| ~ c0_1(a9) ),
c_0_206 ).
cnf(c_0_254,negated_conjecture,
( ~ hskp5
| ~ c2_1(a9) ),
c_0_207 ).
cnf(c_0_255,negated_conjecture,
( hskp21
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_148])]) ).
cnf(c_0_256,negated_conjecture,
( ~ c1_1(X1)
| hskp12
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_148])]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp10
| ~ c2_1(a17) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_258,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp1
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp30
| c0_1(a20) ),
c_0_210 ).
cnf(c_0_260,negated_conjecture,
( ~ hskp26
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_191]),c_0_212]),c_0_213]) ).
cnf(c_0_261,negated_conjecture,
( hskp30
| hskp26
| epred7_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp1
| ~ c3_1(a4)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp1
| c3_1(a4)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_203]),c_0_218]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp24
| c3_1(a52) ),
c_0_220 ).
cnf(c_0_265,negated_conjecture,
( ~ hskp24
| ~ c0_1(a52) ),
c_0_221 ).
cnf(c_0_266,negated_conjecture,
( ~ hskp24
| ~ c2_1(a52) ),
c_0_222 ).
cnf(c_0_267,negated_conjecture,
( ~ hskp31
| c0_1(a76) ),
c_0_223 ).
cnf(c_0_268,negated_conjecture,
( ~ hskp12
| ~ c0_1(a24)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_169]),c_0_168]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp12
| hskp1
| c0_1(a24)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_168]),c_0_170]) ).
fof(c_0_270,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp7 ) ),
introduced(definition) ).
fof(c_0_271,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp14
| c2_1(a28) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp14
| ~ c0_1(a28) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp14
| c3_1(a28) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_275,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| hskp14 ),
inference(fof_simplification,[status(thm)],[clause160]) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp2
| epred4_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp30
| hskp2
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).
cnf(c_0_278,negated_conjecture,
( hskp30
| hskp26
| epred27_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_215]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp1
| ~ c3_1(a4)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_217]),c_0_219]) ).
fof(c_0_280,plain,
( ~ epred49_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ ndr1_0
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp22
| ~ c2_1(a40) ),
c_0_232 ).
cnf(c_0_282,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_233]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp22
| ~ c0_1(a40) ),
c_0_234 ).
cnf(c_0_284,negated_conjecture,
( ~ hskp22
| ~ c3_1(a40) ),
c_0_235 ).
cnf(c_0_285,negated_conjecture,
( ~ c0_1(X1)
| hskp22
| c1_1(X1)
| c2_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_148])]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp0
| c0_1(a1) ),
c_0_237 ).
cnf(c_0_287,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1) ),
c_0_238 ).
cnf(c_0_288,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1) ),
c_0_239 ).
cnf(c_0_289,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_148])]) ).
cnf(c_0_290,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp4
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp4
| c1_1(a7) ),
c_0_241 ).
cnf(c_0_292,negated_conjecture,
( ~ hskp4
| c3_1(a7) ),
c_0_242 ).
cnf(c_0_293,negated_conjecture,
( ~ c3_1(X1)
| hskp4
| c0_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_243]),c_0_148])]) ).
cnf(c_0_294,negated_conjecture,
( ~ hskp31
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp12
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_169]),c_0_168]) ).
cnf(c_0_296,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred20_0 ),
inference(split_equiv,[status(thm)],[c_0_247]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp7
| hskp30
| epred11_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_181]),c_0_182]) ).
cnf(c_0_298,negated_conjecture,
( ~ hskp10
| c1_1(a17) ),
c_0_249 ).
cnf(c_0_299,negated_conjecture,
( ~ hskp10
| ~ c0_1(a17) ),
c_0_250 ).
fof(c_0_300,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
fof(c_0_301,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp5
| ~ c3_1(a9)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp5
| hskp21
| c3_1(a9)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_251]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp21
| ~ c3_1(a39) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_305,negated_conjecture,
( hskp12
| c0_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_191]) ).
cnf(c_0_306,negated_conjecture,
( ~ hskp21
| ~ c0_1(a39) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp5
| c3_1(a9)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_191]),c_0_253]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp10
| ~ c2_1(a17) ),
c_0_257 ).
cnf(c_0_309,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp1
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_258 ).
cnf(c_0_310,negated_conjecture,
( ~ hskp30
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_194]),c_0_259]),c_0_195]) ).
cnf(c_0_311,negated_conjecture,
( hskp30
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_312,negated_conjecture,
( ~ hskp1
| epred11_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_313,negated_conjecture,
( ~ hskp24
| hskp1
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp31
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_245]),c_0_267]),c_0_246]) ).
cnf(c_0_315,negated_conjecture,
( ~ hskp12
| hskp1
| epred5_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_316,negated_conjecture,
( ~ c3_1(X1)
| hskp7
| c0_1(X1)
| c2_1(X1)
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_148])]) ).
cnf(c_0_317,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_271]) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp14
| c2_1(a28) ),
c_0_272 ).
cnf(c_0_319,negated_conjecture,
( ~ hskp14
| ~ c0_1(a28) ),
c_0_273 ).
cnf(c_0_320,negated_conjecture,
( ~ hskp14
| c3_1(a28) ),
c_0_274 ).
cnf(c_0_321,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp24
| hskp14 ),
c_0_275 ).
fof(c_0_322,plain,
( ~ epred41_0
<=> ! [X3] :
( ~ c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp15
| ~ c2_1(a29) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
fof(c_0_324,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp15
| ~ c3_1(a29) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
fof(c_0_326,plain,
( ~ epred17_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp15
| c1_1(a29) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
fof(c_0_328,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp15 ) ),
introduced(definition) ).
fof(c_0_329,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp21 ) ),
introduced(definition) ).
fof(c_0_330,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp21
| c2_1(a39) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp30
| epred4_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_333,negated_conjecture,
( hskp30
| epred4_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_278]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp1
| epred11_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_263]) ).
cnf(c_0_335,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_280]),c_0_148])]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp22
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]),c_0_284]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp0
| hskp22
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]),c_0_288]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp24
| ~ c1_1(a52)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_200]),c_0_264]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp24
| hskp0
| c1_1(a52)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_289]),c_0_265]) ).
cnf(c_0_340,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp4
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_290 ).
cnf(c_0_341,negated_conjecture,
( ~ hskp4
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_291]),c_0_292]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp24
| hskp4
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_343,negated_conjecture,
( hskp24
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_139]),c_0_295]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp30
| ~ c1_1(a20)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_194]),c_0_195]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp30
| c1_1(a20)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_194]),c_0_259]) ).
cnf(c_0_346,negated_conjecture,
( hskp30
| hskp26
| epred11_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_297,c_0_215]) ).
cnf(c_0_347,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp10
| ~ c3_1(a17)
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_298]) ).
cnf(c_0_349,negated_conjecture,
( ~ hskp10
| hskp12
| c3_1(a17) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_298]),c_0_299]) ).
cnf(c_0_350,negated_conjecture,
( ~ c3_1(X1)
| hskp10
| c0_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_300]),c_0_148])]) ).
fof(c_0_351,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_352,negated_conjecture,
( ~ c3_1(X1)
| hskp5
| c0_1(X1)
| c2_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_301]),c_0_148])]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp5
| hskp21
| epred6_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_354,negated_conjecture,
( hskp5
| hskp24
| hskp21 ),
clause38 ).
cnf(c_0_355,negated_conjecture,
( ~ hskp21
| ~ c3_1(a39) ),
c_0_304 ).
cnf(c_0_356,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| epred4_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_230,c_0_305]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp21
| ~ c0_1(a39) ),
c_0_306 ).
cnf(c_0_358,negated_conjecture,
( ~ hskp5
| epred4_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_302,c_0_307]) ).
fof(c_0_359,plain,
( ~ epred43_0
<=> ! [X3] :
( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp10
| ~ c3_1(a17)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_200]),c_0_298]) ).
cnf(c_0_361,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_362,negated_conjecture,
( ~ epred4_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_309,c_0_188]),c_0_158]) ).
cnf(c_0_363,negated_conjecture,
( epred4_0
| epred7_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp24
| epred5_0
| epred11_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_365,negated_conjecture,
( hskp24
| hskp12
| epred32_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_139]) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp12
| epred5_0
| epred11_0
| epred30_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_315]) ).
cnf(c_0_367,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp12
| hskp7
| c0_1(a24)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_168]),c_0_170]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp14
| ~ c1_1(a28)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp14
| c1_1(a28)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_318]),c_0_320]) ).
cnf(c_0_371,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_148])]) ).
cnf(c_0_372,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_322]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp6
| ~ c1_1(a10) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
fof(c_0_374,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp6
| ~ c3_1(a10) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp6
| c2_1(a10) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp15
| ~ c2_1(a29) ),
c_0_323 ).
cnf(c_0_378,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_148])]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp15
| ~ c3_1(a29) ),
c_0_325 ).
cnf(c_0_380,negated_conjecture,
( ~ c1_1(X1)
| hskp6
| c0_1(X1)
| c2_1(X1)
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_148])]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp15
| c1_1(a29) ),
c_0_327 ).
cnf(c_0_382,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp15
| c2_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_328]),c_0_148])]) ).
cnf(c_0_383,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp21
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_329]),c_0_148])]) ).
fof(c_0_384,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_385,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp3
| ~ c2_1(a6) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp3
| c3_1(a6) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp3
| c0_1(a6) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_389,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_330]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp21
| c2_1(a39) ),
c_0_331 ).
cnf(c_0_391,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp7
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_392,negated_conjecture,
( epred4_0
| epred15_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp24
| epred5_0
| epred11_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_313]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp12
| epred5_0
| epred11_0
| epred15_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_315]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp5
| ~ c3_1(a9)
| epred49_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_335]),c_0_253]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp28
| c2_1(a2) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp28
| c0_1(a2) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp28
| c1_1(a2) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_399,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp0
| epred2_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp24
| hskp0
| epred19_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_402,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_340,c_0_243]),c_0_233]) ).
cnf(c_0_403,negated_conjecture,
( epred1_0
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp30
| epred20_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_405,negated_conjecture,
( hskp30
| epred4_0
| epred11_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_346]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp1
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_217]),c_0_218]),c_0_219]) ).
cnf(c_0_407,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_347 ).
cnf(c_0_408,negated_conjecture,
( ~ hskp10
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_295]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp24
| hskp10
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp8
| c2_1(a13) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp8
| c1_1(a13) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp8
| ~ c0_1(a13) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_413,negated_conjecture,
( ~ c2_1(X1)
| hskp8
| c0_1(X1)
| c3_1(X1)
| epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_351]),c_0_148])]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp24
| hskp5
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_415,negated_conjecture,
( hskp24
| hskp21
| epred6_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
fof(c_0_416,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp28 ) ),
introduced(definition) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp21
| epred4_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).
cnf(c_0_418,negated_conjecture,
( hskp24
| hskp21
| epred4_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_354]) ).
cnf(c_0_419,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_359]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp10
| hskp12
| epred42_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_349]) ).
cnf(c_0_421,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_361 ).
cnf(c_0_422,negated_conjecture,
( ~ epred5_0
| epred7_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_423,negated_conjecture,
( epred5_0
| epred11_0
| epred30_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]) ).
cnf(c_0_424,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c2_1(X2)
| c0_1(X2) ),
c_0_367 ).
cnf(c_0_425,negated_conjecture,
( ~ hskp24
| hskp7
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp12
| hskp7
| epred16_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_368]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp14
| epred15_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp31
| hskp24
| hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_245]),c_0_267]),c_0_246]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp14
| ~ c1_1(a28)
| hskp12
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_318]),c_0_320]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp14
| c1_1(a28)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_318]),c_0_319]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp2
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_189]),c_0_192]),c_0_190]) ).
cnf(c_0_432,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp8
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
fof(c_0_433,plain,
( ~ epred48_0
<=> ! [X3] :
( ~ ndr1_0
| c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp6
| ~ c1_1(a10) ),
c_0_373 ).
cnf(c_0_435,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_374]),c_0_148])]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp6
| ~ c3_1(a10) ),
c_0_375 ).
cnf(c_0_437,negated_conjecture,
( ~ hskp6
| c2_1(a10) ),
c_0_376 ).
cnf(c_0_438,negated_conjecture,
( ~ hskp15
| ~ c0_1(a29)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp15
| hskp6
| c0_1(a29)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_377]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp12
| ~ c0_1(a24)
| hskp15
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_169]),c_0_170]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp12
| hskp6
| c0_1(a24)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_169]),c_0_170]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp1
| ~ c3_1(a4)
| hskp21
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_217]),c_0_218]) ).
fof(c_0_443,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp11
| c0_1(a21) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp11
| ~ c2_1(a21) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_446,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_384]),c_0_148])]) ).
cnf(c_0_447,negated_conjecture,
( hskp8
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_148])]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp3
| ~ c2_1(a6) ),
c_0_386 ).
cnf(c_0_449,negated_conjecture,
( ~ hskp3
| c3_1(a6) ),
c_0_387 ).
cnf(c_0_450,negated_conjecture,
( ~ hskp3
| c0_1(a6) ),
c_0_388 ).
cnf(c_0_451,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp29 ),
inference(fof_simplification,[status(thm)],[clause158]) ).
fof(c_0_452,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_453,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| hskp0
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp21
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_357]),c_0_355]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp11
| ~ c3_1(a21) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_456,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp12 ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_457,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp11
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_458,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| hskp30
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_459,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp23
| hskp30
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause144]) ).
cnf(c_0_460,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp6
| hskp17
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_461,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp15
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_462,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| hskp28
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
cnf(c_0_463,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp17
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_464,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp31
| hskp28 ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_465,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_466,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp7
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_391 ).
cnf(c_0_467,negated_conjecture,
( ~ epred5_0
| epred15_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_392]) ).
cnf(c_0_468,negated_conjecture,
( epred5_0
| epred11_0
| epred15_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_365]),c_0_394]) ).
fof(c_0_469,plain,
( ~ epred50_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_470,negated_conjecture,
( ~ hskp5
| hskp21
| epred6_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_303]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp29
| c2_1(a8) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_472,negated_conjecture,
( ~ hskp29
| c3_1(a8) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_473,negated_conjecture,
( ~ hskp29
| c1_1(a8) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp28
| c2_1(a2) ),
c_0_396 ).
cnf(c_0_475,negated_conjecture,
( ~ hskp28
| c0_1(a2) ),
c_0_397 ).
cnf(c_0_476,negated_conjecture,
( ~ hskp28
| c1_1(a2) ),
c_0_398 ).
cnf(c_0_477,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_399 ).
cnf(c_0_478,negated_conjecture,
( ~ hskp24
| epred2_0
| epred19_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_479,negated_conjecture,
( ~ epred2_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_480,negated_conjecture,
( epred4_0
| epred11_0
| epred20_0
| epred27_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp24
| epred5_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_313]) ).
cnf(c_0_482,negated_conjecture,
( ~ epred10_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_407,c_0_300]),c_0_174]) ).
cnf(c_0_483,negated_conjecture,
( epred10_0
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_343]) ).
cnf(c_0_484,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp8
| c2_1(a13) ),
c_0_410 ).
cnf(c_0_486,negated_conjecture,
( ~ hskp8
| c1_1(a13) ),
c_0_411 ).
cnf(c_0_487,negated_conjecture,
( ~ hskp8
| ~ c0_1(a13) ),
c_0_412 ).
cnf(c_0_488,negated_conjecture,
( ~ hskp21
| hskp8
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_390]),c_0_357]),c_0_355]) ).
cnf(c_0_489,negated_conjecture,
( hskp21
| epred6_0
| epred22_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_414]),c_0_415]) ).
cnf(c_0_490,negated_conjecture,
( ~ c1_1(X1)
| hskp28
| c0_1(X1)
| c2_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_416]),c_0_148])]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp24
| epred4_0
| epred22_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_414]) ).
cnf(c_0_492,negated_conjecture,
( hskp24
| epred4_0
| epred15_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp5
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_419]),c_0_253]),c_0_251]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp24
| hskp12
| epred10_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_409]) ).
cnf(c_0_495,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_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_496,negated_conjecture,
( ~ epred7_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_421,c_0_301]),c_0_152]) ).
cnf(c_0_497,negated_conjecture,
( epred7_0
| epred11_0
| epred30_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_498,negated_conjecture,
( ~ epred22_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_424,c_0_301]),c_0_187]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp24
| epred7_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_425]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp12
| epred7_0
| epred16_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_426]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp18
| c1_1(a33) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp18
| ~ c3_1(a33) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
fof(c_0_503,plain,
( ~ epred47_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_504,plain,
( ~ epred44_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp31
| hskp24
| epred15_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp14
| hskp12
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp14
| hskp2
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_370]),c_0_230]) ).
cnf(c_0_508,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp21
| hskp8
| c1_1(X1) ),
c_0_432 ).
cnf(c_0_509,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_433]),c_0_148])]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp6
| ~ c0_1(a10)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_436]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp6
| c0_1(a10)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_437]),c_0_434]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp15
| hskp6
| epred17_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp12
| hskp15
| hskp6
| epred17_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp1
| hskp21
| epred11_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_263]) ).
cnf(c_0_515,negated_conjecture,
( ~ c2_1(X1)
| hskp3
| c1_1(X1)
| c3_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_443]),c_0_148])]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp11
| c0_1(a21) ),
c_0_444 ).
cnf(c_0_517,negated_conjecture,
( ~ hskp11
| ~ c2_1(a21) ),
c_0_445 ).
cnf(c_0_518,negated_conjecture,
( ~ hskp22
| ~ c1_1(a40)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_446]),c_0_283]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp22
| hskp8
| c1_1(a40)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_447]),c_0_284]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp3
| ~ c1_1(a6)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_200]),c_0_449]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp3
| hskp22
| c1_1(a6)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_450]),c_0_448]) ).
cnf(c_0_522,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp29 ),
c_0_451 ).
cnf(c_0_523,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp3
| c2_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_452]),c_0_148])]) ).
cnf(c_0_524,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| hskp0
| c2_1(X1)
| c0_1(X1) ),
c_0_453 ).
cnf(c_0_525,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred6_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_255]),c_0_454]) ).
fof(c_0_526,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp11
| ~ c3_1(a21) ),
c_0_455 ).
cnf(c_0_528,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp12 ),
c_0_456 ).
cnf(c_0_529,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp19
| hskp11
| c0_1(X1) ),
c_0_457 ).
cnf(c_0_530,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| hskp30
| c2_1(X1)
| c0_1(X1) ),
c_0_458 ).
cnf(c_0_531,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp23
| hskp30
| c2_1(X1)
| c1_1(X1) ),
c_0_459 ).
cnf(c_0_532,negated_conjecture,
( ~ hskp27
| c3_1(a65) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_533,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp6
| hskp17
| c2_1(X1)
| c1_1(X1) ),
c_0_460 ).
cnf(c_0_534,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp15
| c3_1(X1)
| c0_1(X1) ),
c_0_461 ).
cnf(c_0_535,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| hskp28
| c2_1(X1) ),
c_0_462 ).
cnf(c_0_536,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| hskp17
| c0_1(X1) ),
c_0_463 ).
cnf(c_0_537,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp31
| hskp28 ),
c_0_464 ).
cnf(c_0_538,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_465 ).
cnf(c_0_539,negated_conjecture,
( ~ epred11_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_270]),c_0_174]) ).
cnf(c_0_540,negated_conjecture,
( epred11_0
| epred15_0
| epred27_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_541,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_469]),c_0_148])]) ).
cnf(c_0_542,negated_conjecture,
( hskp24
| hskp21
| epred6_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_470,c_0_354]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp21
| hskp12
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_305]),c_0_357]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp30
| hskp21
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_194]),c_0_259]),c_0_195]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp29
| c2_1(a8) ),
c_0_471 ).
cnf(c_0_546,negated_conjecture,
( ~ hskp29
| c3_1(a8) ),
c_0_472 ).
cnf(c_0_547,negated_conjecture,
( ~ hskp29
| c1_1(a8) ),
c_0_473 ).
cnf(c_0_548,negated_conjecture,
( ~ hskp28
| ~ c3_1(a2)
| hskp21
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_474]),c_0_475]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp28
| c3_1(a2)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_476]),c_0_475]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp15
| c0_1(a29)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_446]),c_0_381]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp12
| c0_1(a24)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_446]),c_0_169]) ).
cnf(c_0_552,negated_conjecture,
( ~ epred19_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_240]),c_0_247]) ).
cnf(c_0_553,negated_conjecture,
( epred19_0
| epred31_0
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_343]),c_0_479]) ).
cnf(c_0_554,negated_conjecture,
( ~ epred5_0
| epred11_0
| epred20_0
| epred27_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_480]) ).
cnf(c_0_555,negated_conjecture,
( epred5_0
| epred20_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_343]) ).
cnf(c_0_556,negated_conjecture,
( ~ epred11_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_482,c_0_483]) ).
cnf(c_0_557,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_484 ).
cnf(c_0_558,negated_conjecture,
( ~ hskp8
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_485]),c_0_486]),c_0_487]) ).
cnf(c_0_559,negated_conjecture,
( hskp8
| epred6_0
| epred21_0
| epred22_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_489]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp15
| ~ c0_1(a29)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_381]),c_0_379]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp28
| ~ c3_1(a2)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_476]),c_0_475]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp12
| hskp28
| c0_1(a24)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_169]),c_0_170]) ).
cnf(c_0_563,negated_conjecture,
( epred4_0
| epred15_0
| epred22_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_564,negated_conjecture,
( hskp24
| hskp21
| epred43_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_354]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp6
| ~ c0_1(a10)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_203]),c_0_436]) ).
cnf(c_0_566,negated_conjecture,
( ~ hskp6
| hskp8
| c0_1(a10)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_437]),c_0_436]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp12
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_200]),c_0_169]),c_0_168]) ).
cnf(c_0_568,negated_conjecture,
( hskp12
| epred10_0
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_365]) ).
cnf(c_0_569,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_495 ).
cnf(c_0_570,negated_conjecture,
( ~ epred22_0
| epred11_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_497]),c_0_498]) ).
cnf(c_0_571,negated_conjecture,
( epred7_0
| epred16_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_365]),c_0_500]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp19
| c1_1(a35) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp19
| ~ c0_1(a35) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp19
| ~ c3_1(a35) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp18
| c1_1(a33) ),
c_0_501 ).
cnf(c_0_576,negated_conjecture,
( ~ hskp18
| ~ c3_1(a33) ),
c_0_502 ).
cnf(c_0_577,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred47_0 ),
inference(split_equiv,[status(thm)],[c_0_503]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp9
| ~ c2_1(a15) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp9
| ~ c1_1(a15) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp9
| ~ c3_1(a15) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_581,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_504]) ).
fof(c_0_582,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp23
| ~ c1_1(a42) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp23
| c0_1(a42) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp23
| ~ c3_1(a42) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_586,negated_conjecture,
( ~ hskp17
| ~ c3_1(a32) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp17
| c0_1(a32) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_588,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_589,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_590,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_591,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_592,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_593,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_594,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_595,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21 ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_596,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_597,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_598,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_599,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp22
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_600,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp28
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_601,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp30
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_602,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_603,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
cnf(c_0_604,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_605,negated_conjecture,
( hskp24
| epred15_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_139]),c_0_230]) ).
cnf(c_0_606,negated_conjecture,
( hskp24
| hskp12
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_428]),c_0_139]) ).
cnf(c_0_607,negated_conjecture,
( ~ hskp31
| hskp24
| hskp2
| epred15_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_428]) ).
cnf(c_0_608,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp21
| hskp8
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_508,c_0_148])]) ).
cnf(c_0_609,negated_conjecture,
( ~ hskp0
| c3_1(a1)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_509]),c_0_287]) ).
cnf(c_0_610,negated_conjecture,
( ~ hskp6
| epred41_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_510,c_0_511]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp12
| hskp6
| epred17_0
| epred35_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_612,negated_conjecture,
( ~ hskp24
| hskp21
| epred5_0
| epred11_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_514,c_0_313]) ).
cnf(c_0_613,negated_conjecture,
( hskp8
| hskp3
| c1_1(X1)
| c3_1(X1)
| epred14_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_515,c_0_447]) ).
cnf(c_0_614,negated_conjecture,
( ~ hskp11
| hskp22
| c1_1(a21)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_516]),c_0_517]) ).
cnf(c_0_615,negated_conjecture,
( ~ hskp22
| hskp8
| epred14_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_616,negated_conjecture,
( ~ hskp3
| hskp22
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_617,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp29
| hskp19 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_148])]) ).
cnf(c_0_618,negated_conjecture,
( ~ c0_1(X1)
| hskp3
| c3_1(X1)
| c2_1(X1)
| epred11_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_523,c_0_203]) ).
cnf(c_0_619,negated_conjecture,
( hskp8
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred14_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_447]) ).
cnf(c_0_620,negated_conjecture,
( hskp8
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred6_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_255]),c_0_488]) ).
cnf(c_0_621,negated_conjecture,
( ~ c1_1(X1)
| hskp9
| hskp0
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_148])]) ).
cnf(c_0_622,negated_conjecture,
( ~ hskp24
| ~ c1_1(a52)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_446]),c_0_265]) ).
cnf(c_0_623,negated_conjecture,
( hskp8
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred9_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_447]) ).
cnf(c_0_624,negated_conjecture,
( hskp12
| c0_1(X1)
| c3_1(X1)
| epred6_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_525]) ).
cnf(c_0_625,negated_conjecture,
( ~ c1_1(X1)
| hskp12
| c3_1(X1)
| c2_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_526]),c_0_148])]) ).
cnf(c_0_626,negated_conjecture,
( ~ hskp11
| hskp21
| c1_1(a21)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_255]),c_0_527]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp31
| hskp16
| c2_1(a76) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_246]),c_0_245]) ).
cnf(c_0_628,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp26
| hskp12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_528,c_0_148])]) ).
cnf(c_0_629,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp19
| hskp11
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_148])]) ).
cnf(c_0_630,negated_conjecture,
( ~ c3_1(X1)
| hskp30
| hskp11
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_148])]) ).
cnf(c_0_631,negated_conjecture,
( ~ c0_1(X1)
| hskp30
| hskp23
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_148])]) ).
cnf(c_0_632,negated_conjecture,
( ~ hskp27
| c3_1(a65) ),
c_0_532 ).
cnf(c_0_633,negated_conjecture,
( ~ c3_1(X1)
| hskp17
| hskp6
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_148])]) ).
cnf(c_0_634,negated_conjecture,
( ~ c2_1(X1)
| hskp16
| hskp15
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_534,c_0_148])]) ).
cnf(c_0_635,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp28
| hskp7
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_535,c_0_148])]) ).
cnf(c_0_636,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp17
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_148])]) ).
cnf(c_0_637,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp31
| hskp28 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_148])]) ).
cnf(c_0_638,negated_conjecture,
( ~ epred15_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_538,c_0_351]),c_0_143]) ).
cnf(c_0_639,negated_conjecture,
( ~ epred16_0
| epred15_0
| epred27_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_640,negated_conjecture,
( ~ hskp16
| ~ c0_1(a30)
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_541]),c_0_165]) ).
cnf(c_0_641,negated_conjecture,
( ~ hskp16
| c0_1(a30)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_164]),c_0_166]) ).
cnf(c_0_642,negated_conjecture,
( ~ hskp24
| epred49_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_335]),c_0_264]),c_0_265]) ).
cnf(c_0_643,negated_conjecture,
( hskp24
| epred6_0
| epred9_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_542]) ).
cnf(c_0_644,negated_conjecture,
( ~ hskp30
| hskp12
| epred4_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_544]) ).
cnf(c_0_645,negated_conjecture,
( ~ hskp29
| ~ c0_1(a8)
| hskp21
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_545]),c_0_546]) ).
cnf(c_0_646,negated_conjecture,
( ~ hskp29
| c0_1(a8)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_545]),c_0_547]) ).
cnf(c_0_647,negated_conjecture,
( ~ hskp28
| hskp21
| epred7_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_548,c_0_549]) ).
cnf(c_0_648,negated_conjecture,
( ~ hskp15
| epred40_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_550]) ).
cnf(c_0_649,negated_conjecture,
( ~ hskp12
| hskp15
| epred35_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_551]) ).
cnf(c_0_650,negated_conjecture,
( ~ epred20_0
| epred31_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_552,c_0_553]) ).
cnf(c_0_651,negated_conjecture,
( epred20_0
| epred27_0
| epred38_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_555]),c_0_556]) ).
cnf(c_0_652,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_208]),c_0_152]) ).
cnf(c_0_653,negated_conjecture,
( epred6_0
| epred21_0
| epred22_0
| epred24_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_559]) ).
cnf(c_0_654,negated_conjecture,
( ~ hskp15
| epred7_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_550]) ).
cnf(c_0_655,negated_conjecture,
( ~ hskp28
| epred7_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_561,c_0_549]) ).
cnf(c_0_656,negated_conjecture,
( ~ hskp12
| hskp28
| epred29_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_562]) ).
cnf(c_0_657,negated_conjecture,
( ~ epred5_0
| epred15_0
| epred22_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_563]) ).
cnf(c_0_658,negated_conjecture,
( ~ hskp24
| epred22_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_414]) ).
cnf(c_0_659,negated_conjecture,
( hskp24
| hskp8
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_564]) ).
cnf(c_0_660,negated_conjecture,
( ~ hskp6
| hskp8
| epred11_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_565,c_0_566]) ).
cnf(c_0_661,negated_conjecture,
( hskp27
| hskp6
| hskp12 ),
clause37 ).
cnf(c_0_662,negated_conjecture,
( epred10_0
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_567,c_0_568]) ).
cnf(c_0_663,negated_conjecture,
( ~ epred7_0
| ~ epred9_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_324]),c_0_152]),c_0_330]) ).
cnf(c_0_664,negated_conjecture,
( ~ epred16_0
| ~ epred22_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_539,c_0_570]) ).
cnf(c_0_665,negated_conjecture,
( ~ epred22_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_571]),c_0_498]) ).
cnf(c_0_666,negated_conjecture,
( ~ hskp10
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_446]),c_0_298]),c_0_299]) ).
cnf(c_0_667,negated_conjecture,
( ~ hskp19
| c1_1(a35) ),
c_0_572 ).
cnf(c_0_668,negated_conjecture,
( ~ hskp19
| ~ c0_1(a35) ),
c_0_573 ).
cnf(c_0_669,negated_conjecture,
( ~ hskp19
| ~ c3_1(a35) ),
c_0_574 ).
cnf(c_0_670,negated_conjecture,
( ~ hskp18
| ~ c0_1(a33)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_575]),c_0_576]) ).
cnf(c_0_671,negated_conjecture,
( ~ hskp18
| hskp12
| c0_1(a33) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_575]),c_0_576]) ).
cnf(c_0_672,negated_conjecture,
( ~ hskp15
| hskp12
| c0_1(a29) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_381]),c_0_379]) ).
cnf(c_0_673,negated_conjecture,
( ~ hskp8
| ~ c3_1(a13)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_486]),c_0_487]) ).
cnf(c_0_674,negated_conjecture,
( ~ hskp8
| hskp12
| c3_1(a13) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_486]),c_0_487]) ).
cnf(c_0_675,negated_conjecture,
( ~ hskp8
| ~ c3_1(a13)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_485]),c_0_486]) ).
cnf(c_0_676,negated_conjecture,
( ~ hskp9
| ~ c2_1(a15) ),
c_0_578 ).
cnf(c_0_677,negated_conjecture,
( ~ hskp9
| ~ c1_1(a15) ),
c_0_579 ).
cnf(c_0_678,negated_conjecture,
( ~ hskp9
| ~ c3_1(a15) ),
c_0_580 ).
cnf(c_0_679,negated_conjecture,
( ~ hskp12
| c0_1(a24)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_169]),c_0_168]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp8
| ~ c3_1(a13)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_485]),c_0_487]) ).
cnf(c_0_681,negated_conjecture,
( ~ hskp8
| c3_1(a13)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_485]),c_0_487]) ).
cnf(c_0_682,negated_conjecture,
( ~ hskp28
| ~ c3_1(a2)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_474]),c_0_475]) ).
cnf(c_0_683,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_582]) ).
cnf(c_0_684,negated_conjecture,
( ~ hskp2
| c3_1(a5)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_189]),c_0_192]) ).
cnf(c_0_685,negated_conjecture,
( ~ hskp23
| ~ c1_1(a42) ),
c_0_583 ).
cnf(c_0_686,negated_conjecture,
( ~ hskp23
| c0_1(a42) ),
c_0_584 ).
cnf(c_0_687,negated_conjecture,
( ~ hskp23
| ~ c3_1(a42) ),
c_0_585 ).
cnf(c_0_688,negated_conjecture,
( ~ hskp17
| ~ c3_1(a32) ),
c_0_586 ).
cnf(c_0_689,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| epred7_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_435]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp17
| c0_1(a32) ),
c_0_587 ).
cnf(c_0_691,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| epred7_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_203]) ).
cnf(c_0_692,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3) ),
c_0_588 ).
cnf(c_0_693,negated_conjecture,
( ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2) ),
c_0_589 ).
cnf(c_0_694,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2) ),
c_0_590 ).
cnf(c_0_695,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2) ),
c_0_591 ).
cnf(c_0_696,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_592 ).
cnf(c_0_697,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c2_1(X1) ),
c_0_593 ).
cnf(c_0_698,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_594 ).
cnf(c_0_699,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21 ),
c_0_595 ).
cnf(c_0_700,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X2)
| c1_1(X2) ),
c_0_596 ).
cnf(c_0_701,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2) ),
c_0_597 ).
cnf(c_0_702,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c1_1(X2)
| c2_1(X1) ),
c_0_598 ).
cnf(c_0_703,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp22
| c2_1(X2)
| c1_1(X2) ),
c_0_599 ).
cnf(c_0_704,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp28
| c2_1(X2)
| c0_1(X2) ),
c_0_600 ).
cnf(c_0_705,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp30
| c0_1(X2)
| c3_1(X1) ),
c_0_601 ).
cnf(c_0_706,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_602 ).
cnf(c_0_707,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_603 ).
cnf(c_0_708,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_604 ).
cnf(c_0_709,negated_conjecture,
( ~ hskp27
| ~ c2_1(a65) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_710,negated_conjecture,
( ~ hskp27
| ~ c1_1(a65) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_711,negated_conjecture,
( epred28_0
| epred5_0
| epred11_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_393,c_0_605]) ).
cnf(c_0_712,negated_conjecture,
( hskp12
| epred41_0
| epred7_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_499,c_0_606]) ).
cnf(c_0_713,negated_conjecture,
( hskp12
| hskp24
| hskp2
| epred15_0 ),
inference(spm,[status(thm)],[c_0_607,c_0_139]) ).
cnf(c_0_714,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1)
| epred48_0
| hskp21
| hskp8
| c1_1(a1) ),
inference(spm,[status(thm)],[c_0_608,c_0_609]) ).
cnf(c_0_715,negated_conjecture,
( ~ hskp12
| epred17_0
| epred35_0
| epred45_0
| epred41_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_716,negated_conjecture,
( ~ hskp24
| epred5_0
| epred11_0
| epred39_0
| hskp8
| epred21_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_612]) ).
cnf(c_0_717,negated_conjecture,
( ~ hskp26
| hskp8
| hskp3
| c3_1(a57)
| epred14_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_613]) ).
cnf(c_0_718,negated_conjecture,
( ~ hskp11
| ~ c0_1(a21)
| hskp22
| epred31_0
| hskp3
| c2_1(a21)
| epred23_0 ),
inference(spm,[status(thm)],[c_0_523,c_0_614]) ).
cnf(c_0_719,negated_conjecture,
( ~ hskp3
| epred31_0
| epred42_0
| hskp8
| epred14_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_720,negated_conjecture,
( ~ hskp3
| ~ c0_1(a6)
| ~ c3_1(a6)
| hskp22
| epred31_0
| hskp29
| hskp19 ),
inference(spm,[status(thm)],[c_0_617,c_0_521]) ).
cnf(c_0_721,negated_conjecture,
( ~ hskp11
| hskp3
| c3_1(a21)
| c2_1(a21)
| epred11_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_516]) ).
cnf(c_0_722,negated_conjecture,
( ~ hskp26
| hskp8
| c0_1(a57)
| c3_1(a57)
| epred14_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_619]) ).
cnf(c_0_723,negated_conjecture,
( ~ hskp26
| hskp8
| c0_1(a57)
| c3_1(a57)
| epred6_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_620]) ).
cnf(c_0_724,negated_conjecture,
( ~ hskp24
| epred19_0
| hskp9
| hskp0
| c0_1(a52)
| c2_1(a52) ),
inference(spm,[status(thm)],[c_0_621,c_0_339]) ).
cnf(c_0_725,negated_conjecture,
( ~ c3_1(a52)
| ~ hskp24
| c0_1(a52)
| epred24_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_622,c_0_252]) ).
cnf(c_0_726,negated_conjecture,
( ~ hskp26
| hskp8
| c0_1(a57)
| c3_1(a57)
| epred9_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_623]) ).
cnf(c_0_727,negated_conjecture,
( ~ hskp26
| hskp12
| c0_1(a57)
| epred6_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_624]) ).
cnf(c_0_728,negated_conjecture,
( ~ hskp10
| ~ c1_1(a17)
| hskp12
| hskp16
| c2_1(a17) ),
inference(spm,[status(thm)],[c_0_167,c_0_349]) ).
cnf(c_0_729,negated_conjecture,
( ~ hskp11
| hskp21
| epred6_0
| hskp12
| c3_1(a21)
| c2_1(a21)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_625,c_0_626]) ).
cnf(c_0_730,negated_conjecture,
( ~ hskp31
| ~ c0_1(a76)
| ~ c3_1(a76)
| hskp16
| hskp21
| epred39_0 ),
inference(spm,[status(thm)],[c_0_383,c_0_627]) ).
cnf(c_0_731,negated_conjecture,
( ~ hskp30
| ~ c0_1(a20)
| ~ c3_1(a20)
| epred20_0
| hskp26
| hskp12 ),
inference(spm,[status(thm)],[c_0_628,c_0_345]) ).
cnf(c_0_732,negated_conjecture,
( ~ hskp14
| ~ c3_1(a28)
| epred15_0
| hskp19
| hskp11
| c0_1(a28) ),
inference(spm,[status(thm)],[c_0_629,c_0_370]) ).
cnf(c_0_733,negated_conjecture,
( ~ hskp5
| epred4_0
| hskp30
| hskp11
| c0_1(a9)
| c2_1(a9) ),
inference(spm,[status(thm)],[c_0_630,c_0_307]) ).
cnf(c_0_734,negated_conjecture,
( ~ hskp3
| hskp30
| hskp23
| c1_1(a6)
| c2_1(a6) ),
inference(spm,[status(thm)],[c_0_631,c_0_450]) ).
cnf(c_0_735,negated_conjecture,
( ~ hskp27
| hskp30
| hskp11
| c0_1(a65)
| c2_1(a65) ),
inference(spm,[status(thm)],[c_0_630,c_0_632]) ).
cnf(c_0_736,negated_conjecture,
( ~ hskp24
| hskp30
| hskp11
| c0_1(a52)
| c2_1(a52) ),
inference(spm,[status(thm)],[c_0_630,c_0_264]) ).
cnf(c_0_737,negated_conjecture,
( ~ hskp24
| hskp17
| hskp6
| c1_1(a52)
| c2_1(a52) ),
inference(spm,[status(thm)],[c_0_633,c_0_264]) ).
cnf(c_0_738,negated_conjecture,
( ~ hskp21
| hskp16
| hskp15
| c0_1(a39)
| c3_1(a39) ),
inference(spm,[status(thm)],[c_0_634,c_0_390]) ).
cnf(c_0_739,negated_conjecture,
( ~ hskp24
| ~ c1_1(a52)
| hskp28
| hskp7
| c2_1(a52) ),
inference(spm,[status(thm)],[c_0_635,c_0_264]) ).
cnf(c_0_740,negated_conjecture,
( ~ hskp12
| ~ c1_1(a24)
| hskp28
| hskp7
| c2_1(a24) ),
inference(spm,[status(thm)],[c_0_635,c_0_168]) ).
cnf(c_0_741,negated_conjecture,
( ~ hskp27
| ~ c0_1(a65)
| hskp21
| hskp8
| c1_1(a65) ),
inference(spm,[status(thm)],[c_0_608,c_0_632]) ).
cnf(c_0_742,negated_conjecture,
( ~ hskp16
| ~ c0_1(a30)
| hskp21
| hskp8
| c1_1(a30) ),
inference(spm,[status(thm)],[c_0_608,c_0_165]) ).
cnf(c_0_743,negated_conjecture,
( ~ hskp12
| ~ c3_1(a24)
| hskp19
| hskp11
| c0_1(a24) ),
inference(spm,[status(thm)],[c_0_629,c_0_169]) ).
cnf(c_0_744,negated_conjecture,
( ~ hskp10
| ~ c3_1(a17)
| hskp19
| hskp11
| c0_1(a17) ),
inference(spm,[status(thm)],[c_0_629,c_0_298]) ).
cnf(c_0_745,negated_conjecture,
( ~ hskp8
| ~ c3_1(a13)
| hskp19
| hskp11
| c0_1(a13) ),
inference(spm,[status(thm)],[c_0_629,c_0_486]) ).
cnf(c_0_746,negated_conjecture,
( ~ hskp8
| ~ c1_1(a13)
| hskp18
| hskp17
| c0_1(a13) ),
inference(spm,[status(thm)],[c_0_636,c_0_485]) ).
cnf(c_0_747,negated_conjecture,
( ~ hskp30
| ~ c0_1(a20)
| ~ c3_1(a20)
| hskp31
| hskp28 ),
inference(spm,[status(thm)],[c_0_637,c_0_194]) ).
cnf(c_0_748,negated_conjecture,
( ~ hskp31
| ~ c0_1(a76)
| ~ c3_1(a76)
| hskp26
| hskp12 ),
inference(spm,[status(thm)],[c_0_628,c_0_245]) ).
cnf(c_0_749,negated_conjecture,
( ~ epred16_0
| ~ epred21_0
| epred27_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_750,negated_conjecture,
( ~ hskp16
| epred41_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_640,c_0_641]) ).
cnf(c_0_751,negated_conjecture,
( epred6_0
| epred9_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_642,c_0_643]) ).
cnf(c_0_752,negated_conjecture,
( hskp12
| epred4_0
| epred27_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_644,c_0_333]) ).
cnf(c_0_753,negated_conjecture,
( ~ hskp30
| hskp8
| epred21_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_544]) ).
cnf(c_0_754,negated_conjecture,
( ~ hskp30
| epred9_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_544]) ).
cnf(c_0_755,negated_conjecture,
( ~ hskp29
| hskp21
| epred28_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_756,negated_conjecture,
( ~ hskp28
| epred7_0
| epred9_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_647]) ).
cnf(c_0_757,negated_conjecture,
( ~ hskp12
| epred35_0
| epred40_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_648,c_0_649]) ).
cnf(c_0_758,negated_conjecture,
( ~ hskp11
| epred45_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_378]),c_0_516]),c_0_527]) ).
cnf(c_0_759,negated_conjecture,
( epred27_0
| epred31_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_760,negated_conjecture,
( ~ epred7_0
| epred21_0
| epred24_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_653]),c_0_496]) ).
cnf(c_0_761,negated_conjecture,
( ~ hskp12
| epred7_0
| epred35_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_654,c_0_649]) ).
cnf(c_0_762,negated_conjecture,
( ~ hskp12
| epred7_0
| epred29_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_655,c_0_656]) ).
cnf(c_0_763,negated_conjecture,
( epred11_0
| epred15_0
| epred22_0
| epred24_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_468]) ).
cnf(c_0_764,negated_conjecture,
( ~ hskp24
| hskp30
| epred16_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_425]) ).
cnf(c_0_765,negated_conjecture,
( hskp8
| epred21_0
| epred22_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_766,negated_conjecture,
( hskp27
| hskp12
| hskp8
| epred11_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_660,c_0_661]) ).
cnf(c_0_767,negated_conjecture,
( ~ epred11_0
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_482,c_0_662]) ).
cnf(c_0_768,negated_conjecture,
( ~ epred9_0
| ~ epred45_0
| epred16_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_663,c_0_571]) ).
cnf(c_0_769,negated_conjecture,
( ~ epred22_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_664,c_0_665]) ).
cnf(c_0_770,negated_conjecture,
( ~ hskp24
| epred10_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_666,c_0_409]) ).
cnf(c_0_771,negated_conjecture,
( ~ hskp19
| hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_667]),c_0_668]),c_0_669]) ).
cnf(c_0_772,negated_conjecture,
( ~ hskp18
| hskp12
| epred7_0 ),
inference(spm,[status(thm)],[c_0_670,c_0_671]) ).
cnf(c_0_773,negated_conjecture,
( ~ hskp15
| hskp12
| epred7_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_672]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp8
| hskp12
| epred47_0 ),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_775,negated_conjecture,
( ~ hskp8
| hskp12
| epred38_0 ),
inference(spm,[status(thm)],[c_0_675,c_0_674]) ).
cnf(c_0_776,negated_conjecture,
( ~ hskp9
| hskp21
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_255]),c_0_677]),c_0_678]) ).
cnf(c_0_777,negated_conjecture,
( ~ hskp3
| ~ c1_1(a6)
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_449]),c_0_448]) ).
cnf(c_0_778,negated_conjecture,
( ~ hskp12
| epred32_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_679]) ).
cnf(c_0_779,negated_conjecture,
( ~ hskp16
| c0_1(a30)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_164]),c_0_165]) ).
cnf(c_0_780,negated_conjecture,
( ~ hskp8
| epred9_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_680,c_0_681]) ).
cnf(c_0_781,negated_conjecture,
( hskp24
| epred9_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_564]) ).
cnf(c_0_782,negated_conjecture,
( ~ hskp8
| epred9_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_675,c_0_681]) ).
cnf(c_0_783,negated_conjecture,
( ~ hskp28
| epred7_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_682,c_0_549]) ).
cnf(c_0_784,negated_conjecture,
( ~ hskp16
| ~ c0_1(a30)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_164]),c_0_165]) ).
cnf(c_0_785,negated_conjecture,
( ~ hskp19
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_667]),c_0_668]),c_0_669]) ).
cnf(c_0_786,negated_conjecture,
( ~ hskp2
| epred9_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_226,c_0_684]) ).
cnf(c_0_787,negated_conjecture,
( ~ hskp23
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_203]),c_0_686]),c_0_687]) ).
cnf(c_0_788,negated_conjecture,
( ~ hskp17
| epred7_0
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_690]) ).
cnf(c_0_789,negated_conjecture,
( ~ hskp22
| hskp12
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_305]),c_0_283]) ).
cnf(c_0_790,negated_conjecture,
( ~ hskp17
| epred7_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_691]),c_0_690]) ).
cnf(c_0_791,negated_conjecture,
( ~ hskp11
| epred7_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_691]),c_0_516]) ).
cnf(c_0_792,negated_conjecture,
( ~ epred30_0
| ~ epred32_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_692,c_0_469]),c_0_183]),c_0_187]) ).
cnf(c_0_793,negated_conjecture,
( ~ epred7_0
| ~ epred32_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_693,c_0_384]),c_0_152]),c_0_187]) ).
cnf(c_0_794,negated_conjecture,
( ~ epred28_0
| ~ epred38_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_694,c_0_280]),c_0_271]),c_0_172]) ).
cnf(c_0_795,negated_conjecture,
( ~ epred20_0
| ~ epred30_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_695,c_0_433]),c_0_247]),c_0_183]) ).
cnf(c_0_796,negated_conjecture,
( ~ epred28_0
| ~ epred46_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_696,c_0_374]),c_0_503]),c_0_271]) ).
cnf(c_0_797,negated_conjecture,
( ~ epred42_0
| ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_697,c_0_173]),c_0_359]),c_0_504]) ).
cnf(c_0_798,negated_conjecture,
( ~ epred9_0
| ~ epred40_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_698,c_0_384]),c_0_330]),c_0_322]) ).
cnf(c_0_799,negated_conjecture,
( ~ epred32_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_699,c_0_329]),c_0_187]) ).
cnf(c_0_800,negated_conjecture,
( ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_700,c_0_443]),c_0_172]) ).
cnf(c_0_801,negated_conjecture,
( ~ epred30_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_701,c_0_526]),c_0_183]) ).
cnf(c_0_802,negated_conjecture,
( ~ epred15_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_702,c_0_328]),c_0_143]) ).
cnf(c_0_803,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_703,c_0_236]),c_0_187]) ).
cnf(c_0_804,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_704,c_0_416]),c_0_183]) ).
cnf(c_0_805,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_705,c_0_171]),c_0_271]) ).
cnf(c_0_806,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_706,c_0_452]),c_0_205]) ).
cnf(c_0_807,negated_conjecture,
( ~ epred17_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_707,c_0_326]),c_0_582]) ).
cnf(c_0_808,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_708,c_0_385]),c_0_143]) ).
cnf(c_0_809,negated_conjecture,
( ~ hskp27
| ~ c2_1(a65) ),
c_0_709 ).
cnf(c_0_810,negated_conjecture,
( ~ hskp27
| ~ c1_1(a65) ),
c_0_710 ).
cnf(c_0_811,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_711,c_0_712,c_0_713,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_724,c_0_725,c_0_726,c_0_727,c_0_728,c_0_729,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_735,c_0_736,c_0_737,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_745,c_0_746,c_0_747,c_0_748,c_0_605,c_0_606,c_0_428,c_0_749,c_0_540,c_0_332,c_0_750,c_0_751,c_0_642,c_0_752,c_0_753,c_0_644,c_0_754,c_0_755,c_0_756,c_0_612,c_0_757,c_0_758,c_0_759,c_0_760,c_0_761,c_0_762,c_0_763,c_0_764,c_0_278,c_0_765,c_0_658,c_0_414,c_0_766,c_0_488,c_0_660,c_0_767,c_0_567,c_0_520,c_0_768,c_0_769,c_0_665,c_0_571,c_0_425,c_0_770,c_0_666,c_0_409,c_0_771,c_0_772,c_0_773,c_0_349,c_0_774,c_0_775,c_0_674,c_0_776,c_0_230,c_0_197,c_0_777,c_0_778,c_0_779,c_0_780,c_0_781,c_0_782,c_0_468,c_0_365,c_0_314,c_0_655,c_0_393,c_0_268,c_0_310,c_0_783,c_0_784,c_0_558,c_0_785,c_0_196,c_0_786,c_0_787,c_0_454,c_0_261,c_0_214,c_0_788,c_0_543,c_0_789,c_0_790,c_0_791,c_0_792,c_0_793,c_0_794,c_0_795,c_0_796,c_0_663,c_0_797,c_0_798,c_0_799,c_0_800,c_0_498,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_496,c_0_638,c_0_552,c_0_807,c_0_539,c_0_808,c_0_482,c_0_652,c_0_362,c_0_287,c_0_448,c_0_254,c_0_253,c_0_487,c_0_308,c_0_299,c_0_517,c_0_527,c_0_170,c_0_319,c_0_166,c_0_355,c_0_357,c_0_266,c_0_265,c_0_213,c_0_212,c_0_809,c_0_810,c_0_449,c_0_168,c_0_320,c_0_264,c_0_195,c_0_246,c_0_486,c_0_298,c_0_169,c_0_286,c_0_450,c_0_516,c_0_259,c_0_267,c_0_139]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN465-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.40 % Computer : n015.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Mon Sep 21 11:02:42 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.45 Running first-order theorem proving
% 0.13/5.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.06/9.52 % Version: 3.5.1
% 32.06/9.52 % Preprocessing class: FSLSSLSMSSSNFFN.
% 32.06/9.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 32.06/9.52 % Starting new_bool_3 with 300s (1) cores
% 32.06/9.52 % Starting new_bool_1 with 300s (1) cores
% 32.06/9.52 % Starting sh5l with 300s (1) cores
% 32.06/9.52 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1309747 completed with status 0
% 32.06/9.52 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 32.06/9.52 % Preprocessing class: FSLSSLSMSSSNFFN.
% 32.06/9.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 32.06/9.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.06/9.52 % No SInE strategy applied
% 32.06/9.52 % Search class: FGHNF-FSMM00-SFFFFFNN
% 32.06/9.52 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 32.06/9.52 % Starting SubtermCWHack with 151s (1) cores
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 32.06/9.52 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 32.06/9.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 32.06/9.52 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 1309756 completed with status 0
% 32.06/9.52 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 32.06/9.52 % Preprocessing class: FSLSSLSMSSSNFFN.
% 32.06/9.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 32.06/9.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.06/9.52 % No SInE strategy applied
% 32.06/9.52 % Search class: FGHNF-FSMM00-SFFFFFNN
% 32.06/9.52 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 32.06/9.52 % Starting SubtermCWHack with 151s (1) cores
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 32.06/9.52 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 32.06/9.52 % Preprocessing time : 0.003 s
% 32.06/9.52 % SatCheck found unsatisfiable ground set
% 32.06/9.52
% 32.06/9.52 % Proof found!
% 32.06/9.52 % SZS status Unsatisfiable
% 32.06/9.52 % SZS output start CNFRefutation
% See solution above
% 32.06/9.53 % Parsed axioms : 196
% 32.06/9.53 % Removed by relevancy pruning/SinE : 0
% 32.06/9.53 % Initial clauses : 196
% 32.06/9.53 % Removed in clause preprocessing : 0
% 32.06/9.53 % Initial clauses in saturation : 196
% 32.06/9.53 % Processed clauses : 8688
% 32.06/9.53 % ...of these trivial : 0
% 32.06/9.53 % ...subsumed : 3688
% 32.06/9.53 % ...remaining for further processing : 5000
% 32.06/9.53 % Other redundant clauses eliminated : 0
% 32.06/9.53 % Clauses deleted for lack of memory : 0
% 32.06/9.53 % Backward-subsumed : 1868
% 32.06/9.53 % Backward-rewritten : 62
% 32.06/9.53 % Generated clauses : 86630
% 32.06/9.53 % ...of the previous two non-redundant : 81557
% 32.06/9.53 % ...aggressively subsumed : 0
% 32.06/9.53 % Contextual simplify-reflections : 771
% 32.06/9.53 % Paramodulations : 86548
% 32.06/9.53 % Factorizations : 0
% 32.06/9.53 % NegExts : 0
% 32.06/9.53 % Equation resolutions : 0
% 32.06/9.53 % Disequality decompositions : 0
% 32.06/9.53 % Total rewrite steps : 92
% 32.06/9.53 % ...of those cached : 91
% 32.06/9.53 % Propositional unsat checks : 1
% 32.06/9.53 % Propositional check models : 0
% 32.06/9.53 % Propositional check unsatisfiable : 1
% 32.06/9.53 % Propositional clauses : 74902
% 32.06/9.53 % Propositional clauses after purity: 73647
% 32.06/9.53 % Propositional unsat core size : 179
% 32.06/9.53 % Propositional preprocessing time : 0.000
% 32.06/9.53 % Propositional encoding time : 0.056
% 32.06/9.53 % Propositional solver time : 0.203
% 32.06/9.53 % Success case prop preproc time : 0.000
% 32.06/9.53 % Success case prop encoding time : 0.056
% 32.06/9.53 % Success case prop solver time : 0.203
% 32.06/9.53 % Current number of processed clauses : 3038
% 32.06/9.53 % Positive orientable unit clauses : 1
% 32.06/9.53 % Positive unorientable unit clauses: 0
% 32.06/9.53 % Negative unit clauses : 0
% 32.06/9.53 % Non-unit-clauses : 3037
% 32.06/9.53 % Current number of unprocessed clauses: 71864
% 32.06/9.53 % ...number of literals in the above : 489076
% 32.06/9.53 % Current number of archived formulas : 0
% 32.06/9.53 % Current number of archived clauses : 1930
% 32.06/9.53 % Clause-clause subsumption calls (NU) : 7619037
% 32.06/9.53 % Rec. Clause-clause subsumption calls : 373679
% 32.06/9.53 % Non-unit clause-clause subsumptions : 6371
% 32.06/9.53 % Unit Clause-clause subsumption calls : 14
% 32.06/9.53 % Rewrite failures with RHS unbound : 0
% 32.06/9.53 % BW rewrite match attempts : 1
% 32.06/9.53 % BW rewrite match successes : 1
% 32.06/9.53 % Condensation attempts : 8688
% 32.06/9.53 % Condensation successes : 0
% 32.06/9.53 % Termbank termtop insertions : 821282
% 32.06/9.53 % Search garbage collected termcells : 496
% 32.06/9.53
% 32.06/9.53 % -------------------------------------------------
% 32.06/9.53 % User time : 3.871 s
% 32.06/9.53 % System time : 0.115 s
% 32.06/9.53 % Total time : 3.987 s
% 32.06/9.53 % Maximum resident set size: 3992 pages
% 32.06/9.53
% 32.06/9.53 % -------------------------------------------------
% 32.06/9.53 % User time : 19.548 s
% 32.06/9.53 % System time : 0.487 s
% 32.06/9.53 % Total time : 20.035 s
% 32.06/9.53 % Maximum resident set size: 4864 pages
% 32.06/9.53 % E exiting
%------------------------------------------------------------------------------