%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN461-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:24:34 PM UTC 2026
% Result : Unsatisfiable 18.90s 3.72s
% Output : CNFRefutation 18.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 154
% Syntax : Number of formulae : 611 ( 2 unt; 0 def)
% Number of atoms : 2342 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2849 (1118 ~;1689 |; 0 &)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 71 ( 70 usr; 67 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 293 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause22,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(clause1,negated_conjecture,
( hskp8
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| hskp22
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause131,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp14
| hskp22
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause63,negated_conjecture,
( ~ hskp13
| c1_1(a1192) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause100,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1192) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause101,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1192) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause77,negated_conjecture,
( ~ hskp2
| c3_1(a1172) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause120,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1172) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause80,negated_conjecture,
( ~ hskp0
| c1_1(a1168) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause79,negated_conjecture,
( ~ hskp0
| c0_1(a1168) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause82,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1232) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1232) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause49,negated_conjecture,
( ~ hskp24
| c3_1(a1232) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause51,negated_conjecture,
( ~ hskp22
| c3_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause50,negated_conjecture,
( ~ hskp22
| c0_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause127,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp0
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause44,negated_conjecture,
( ~ hskp26
| c1_1(a1190) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause43,negated_conjecture,
( ~ hskp26
| c0_1(a1190) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause45,negated_conjecture,
( ~ hskp26
| c3_1(a1190) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause92,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1200) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause59,negated_conjecture,
( ~ hskp17
| c0_1(a1200) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause93,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1200) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause33,negated_conjecture,
( hskp2
| hskp13
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause46,negated_conjecture,
( ~ hskp25
| c1_1(a1182) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause48,negated_conjecture,
( ~ hskp25
| c3_1(a1182) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause86,negated_conjecture,
( ~ hskp22
| ~ c1_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause74,negated_conjecture,
( ~ hskp3
| c0_1(a1174) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause119,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1174) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause67,negated_conjecture,
( ~ hskp8
| c1_1(a1180) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause111,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1180) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause112,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1180) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause68,negated_conjecture,
( ~ hskp6
| c1_1(a1178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause116,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause75,negated_conjecture,
( ~ hskp3
| c1_1(a1174) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause64,negated_conjecture,
( ~ hskp11
| c0_1(a1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause106,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause99,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause62,negated_conjecture,
( ~ hskp14
| c2_1(a1194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause98,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause123,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1168) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause31,negated_conjecture,
( hskp24
| hskp17
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(clause161,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause78,negated_conjecture,
( ~ hskp1
| c1_1(a1169) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause122,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1169) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause38,negated_conjecture,
( ~ hskp28
| c2_1(a1236) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause37,negated_conjecture,
( ~ hskp28
| c0_1(a1236) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause69,negated_conjecture,
( ~ hskp6
| c2_1(a1178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause125,negated_conjecture,
( ~ ndr1_0
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause133,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp23
| hskp19
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause130,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| hskp22
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause139,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp26
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause138,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp21
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp20
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause136,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp13
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp2
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(clause41,negated_conjecture,
( ~ hskp27
| c1_1(a1201) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause40,negated_conjecture,
( ~ hskp27
| c0_1(a1201) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause42,negated_conjecture,
( ~ hskp27
| c2_1(a1201) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause89,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause90,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause85,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1218) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause83,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1218) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1218) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause95,negated_conjecture,
( ~ hskp16
| ~ c3_1(a1199) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause60,negated_conjecture,
( ~ hskp16
| c2_1(a1199) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause94,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1199) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause39,negated_conjecture,
( ~ hskp28
| c3_1(a1236) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause104,negated_conjecture,
( ~ hskp12
| ~ c3_1(a1187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause54,negated_conjecture,
( ~ hskp20
| c1_1(a1205) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause53,negated_conjecture,
( ~ hskp21
| c3_1(a1207) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause87,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1207) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause56,negated_conjecture,
( ~ hskp19
| c3_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause102,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause103,negated_conjecture,
( ~ hskp12
| ~ c2_1(a1187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause52,negated_conjecture,
( ~ hskp21
| c2_1(a1207) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause76,negated_conjecture,
( ~ hskp2
| c2_1(a1172) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause57,negated_conjecture,
( ~ hskp18
| c1_1(a1202) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause58,negated_conjecture,
( ~ hskp18
| c3_1(a1202) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause91,negated_conjecture,
( ~ hskp18
| ~ c0_1(a1202) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause105,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause55,negated_conjecture,
( ~ hskp20
| c3_1(a1205) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause88,negated_conjecture,
( ~ hskp20
| ~ c2_1(a1205) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause135,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp27
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause175,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause174,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c3_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause173,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause171,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
cnf(clause170,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause168,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause169,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause165,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause164,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause167,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp25
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause158,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(clause162,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
cnf(clause159,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause163,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
cnf(clause155,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
cnf(clause149,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause144,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp26
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
cnf(clause35,negated_conjecture,
( hskp14
| hskp21
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause34,negated_conjecture,
( hskp16
| hskp1
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause121,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1169) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause47,negated_conjecture,
( ~ hskp25
| c2_1(a1182) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause32,negated_conjecture,
( hskp14
| hskp1
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(clause36,negated_conjecture,
( hskp19
| hskp21
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(c_0_112,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause2]) ).
cnf(c_0_113,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause22]) ).
cnf(c_0_114,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
c_0_112 ).
cnf(c_0_115,negated_conjecture,
( hskp8
| hskp28 ),
clause1 ).
cnf(c_0_116,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
c_0_113 ).
cnf(c_0_117,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| hskp22
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_118,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp14
| hskp22
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
fof(c_0_119,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_120,plain,
( ~ epred44_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_121,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| hskp22
| c3_1(X1) ),
c_0_117 ).
cnf(c_0_123,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp14
| hskp22
| c3_1(X1)
| c2_1(X1) ),
c_0_118 ).
cnf(c_0_124,negated_conjecture,
( ~ hskp13
| c1_1(a1192) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_125,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1192) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
fof(c_0_126,plain,
( ~ epred52_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_127,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1192) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_128,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_120]),c_0_121])]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp2
| c3_1(a1172) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1172) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
fof(c_0_132,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp0
| c1_1(a1168) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp0
| c0_1(a1168) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_136,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp14
| c3_1(X1) ),
inference(csr,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1232) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
fof(c_0_138,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1232) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
fof(c_0_140,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp24
| c3_1(a1232) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp13
| c1_1(a1192) ),
c_0_124 ).
cnf(c_0_143,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1192) ),
c_0_125 ).
cnf(c_0_144,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_126]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1192) ),
c_0_127 ).
cnf(c_0_146,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred27_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_147,negated_conjecture,
( ~ hskp2
| c3_1(a1172) ),
c_0_130 ).
cnf(c_0_148,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1172) ),
c_0_131 ).
cnf(c_0_149,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_132]) ).
cnf(c_0_150,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_133]),c_0_121])]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp22
| c3_1(a1211) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp22
| c0_1(a1211) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp0
| c1_1(a1168) ),
c_0_134 ).
cnf(c_0_154,negated_conjecture,
( ~ hskp0
| c0_1(a1168) ),
c_0_135 ).
cnf(c_0_155,negated_conjecture,
( ~ c0_1(X1)
| hskp22
| hskp14
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_121])]) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1232) ),
c_0_137 ).
cnf(c_0_157,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1232) ),
c_0_139 ).
cnf(c_0_159,negated_conjecture,
( ~ c3_1(X1)
| hskp0
| c2_1(X1)
| c1_1(X1)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_121])]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp24
| c3_1(a1232) ),
c_0_141 ).
cnf(c_0_161,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp0
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp26
| c1_1(a1190) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp26
| c0_1(a1190) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp26
| c3_1(a1190) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1200) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
fof(c_0_166,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp17
| c0_1(a1200) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1200) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp13
| ~ c3_1(a1192)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_142]),c_0_143]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp13
| c3_1(a1192)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_142]),c_0_145]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp2
| epred27_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_172,negated_conjecture,
( hskp2
| hskp13
| hskp17 ),
clause33 ).
cnf(c_0_173,negated_conjecture,
( ~ hskp25
| c1_1(a1182) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp25
| c3_1(a1182) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
fof(c_0_175,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp25 ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp22
| ~ c1_1(a1211) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
fof(c_0_177,plain,
( ~ epred46_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp3
| c0_1(a1174) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1174) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
fof(c_0_180,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp8
| c1_1(a1180) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1180) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1180) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
fof(c_0_184,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp6
| c1_1(a1178) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1178) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp3
| c1_1(a1174) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp11
| c0_1(a1186) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1186) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1194) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp14
| c2_1(a1194) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1194) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_193,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp22
| c3_1(a1211) ),
c_0_151 ).
cnf(c_0_195,negated_conjecture,
( ~ hskp22
| c0_1(a1211) ),
c_0_152 ).
cnf(c_0_196,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1168)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_153]),c_0_154]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp0
| hskp22
| hskp14
| c3_1(a1168) ),
inference(spm,[status(thm)],[c_0_155,c_0_154]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1232)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp24
| hskp0
| c2_1(a1232)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_156]) ).
cnf(c_0_200,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp0
| c2_1(X1)
| c1_1(X1) ),
c_0_161 ).
cnf(c_0_201,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1168) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp26
| c1_1(a1190) ),
c_0_162 ).
cnf(c_0_203,negated_conjecture,
( ~ hskp26
| c0_1(a1190) ),
c_0_163 ).
cnf(c_0_204,negated_conjecture,
( ~ hskp26
| c3_1(a1190) ),
c_0_164 ).
cnf(c_0_205,negated_conjecture,
( ~ hskp24
| epred27_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_160]),c_0_158]) ).
cnf(c_0_206,negated_conjecture,
( hskp24
| hskp17
| hskp26 ),
clause31 ).
cnf(c_0_207,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1200) ),
c_0_165 ).
cnf(c_0_209,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_121])]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp17
| c0_1(a1200) ),
c_0_167 ).
cnf(c_0_211,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1200) ),
c_0_168 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp13
| epred27_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_213,negated_conjecture,
( hskp17
| hskp13
| epred27_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
fof(c_0_214,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_215,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c2_1(X2)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp1
| c1_1(a1169) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1169) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
fof(c_0_218,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| hskp11 ) ),
introduced(definition) ).
fof(c_0_219,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp28
| c2_1(a1236) ),
inference(fof_simplification,[status(thm)],[clause38]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp28
| c0_1(a1236) ),
inference(fof_simplification,[status(thm)],[clause37]) ).
fof(c_0_222,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c2_1(X2)
| hskp6 ) ),
introduced(definition) ).
fof(c_0_223,plain,
( ~ epred50_0
<=> ! [X3] :
( ~ c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_224,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_225,plain,
( ~ epred7_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_226,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp6
| c2_1(a1178) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
fof(c_0_228,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_229,plain,
( ~ epred4_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_230,plain,
( ~ epred39_0
<=> ! [X3] :
( ~ ndr1_0
| c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_231,negated_conjecture,
( ~ ndr1_0
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_232,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp23
| hskp19
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_233,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| hskp22
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_234,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp26
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_235,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp21
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_236,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp20
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_237,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp13
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_238,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp2
| hskp22 ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp25
| c1_1(a1182) ),
c_0_173 ).
cnf(c_0_240,negated_conjecture,
( ~ hskp25
| c3_1(a1182) ),
c_0_174 ).
cnf(c_0_241,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp25
| c3_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_121])]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp22
| ~ c1_1(a1211) ),
c_0_176 ).
cnf(c_0_243,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_177]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp3
| c0_1(a1174) ),
c_0_178 ).
cnf(c_0_245,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1174) ),
c_0_179 ).
cnf(c_0_246,negated_conjecture,
( ~ c1_1(X1)
| hskp3
| c0_1(X1)
| c3_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_121])]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp8
| c1_1(a1180) ),
c_0_181 ).
cnf(c_0_248,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1180) ),
c_0_182 ).
cnf(c_0_249,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1180) ),
c_0_183 ).
cnf(c_0_250,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_184]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp6
| c1_1(a1178) ),
c_0_185 ).
cnf(c_0_252,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1178) ),
c_0_186 ).
cnf(c_0_253,negated_conjecture,
( ~ hskp3
| c1_1(a1174) ),
c_0_187 ).
cnf(c_0_254,negated_conjecture,
( ~ hskp11
| c0_1(a1186) ),
c_0_188 ).
cnf(c_0_255,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1186) ),
c_0_189 ).
cnf(c_0_256,negated_conjecture,
( ~ hskp27
| c1_1(a1201) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp27
| c0_1(a1201) ),
inference(fof_simplification,[status(thm)],[clause40]) ).
fof(c_0_258,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp27
| c2_1(a1201) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1204) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1204) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
fof(c_0_262,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ ndr1_0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1218) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1218) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1218) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1194) ),
c_0_190 ).
cnf(c_0_267,negated_conjecture,
( ~ hskp14
| c2_1(a1194) ),
c_0_191 ).
cnf(c_0_268,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1194) ),
c_0_192 ).
cnf(c_0_269,negated_conjecture,
( ~ hskp22
| epred2_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp0
| hskp22
| hskp14
| epred2_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp24
| hskp0
| epred9_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_272,negated_conjecture,
( ~ c0_1(X1)
| hskp0
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_121])]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1168) ),
c_0_201 ).
cnf(c_0_274,negated_conjecture,
( ~ hskp26
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_275,negated_conjecture,
( hskp26
| hskp17
| epred27_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_276,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X2)
| c1_1(X2) ),
c_0_207 ).
cnf(c_0_277,negated_conjecture,
( ~ hskp17
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_211]) ).
cnf(c_0_278,negated_conjecture,
( hskp17
| epred27_0
| epred44_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
fof(c_0_279,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_280,plain,
( ~ epred16_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp16
| ~ c3_1(a1199) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp16
| c2_1(a1199) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1199) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
fof(c_0_284,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp28
| c3_1(a1236) ),
inference(fof_simplification,[status(thm)],[clause39]) ).
cnf(c_0_286,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_214]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp12
| ~ c3_1(a1187) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_288,negated_conjecture,
( hskp3
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_121])]) ).
fof(c_0_289,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp1
| c1_1(a1169) ),
c_0_216 ).
cnf(c_0_291,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1169) ),
c_0_217 ).
fof(c_0_292,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_293,negated_conjecture,
( ~ c3_1(X1)
| hskp11
| c2_1(X1)
| c1_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_218]),c_0_121])]) ).
cnf(c_0_294,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp17
| c1_1(X1)
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_121])]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp28
| c2_1(a1236) ),
c_0_220 ).
cnf(c_0_296,negated_conjecture,
( ~ hskp28
| c0_1(a1236) ),
c_0_221 ).
cnf(c_0_297,negated_conjecture,
( hskp6
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_121])]) ).
cnf(c_0_298,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred50_0 ),
inference(split_equiv,[status(thm)],[c_0_223]) ).
cnf(c_0_299,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_224]) ).
cnf(c_0_300,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_225]) ).
cnf(c_0_301,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred40_0 ),
inference(split_equiv,[status(thm)],[c_0_226]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp6
| c2_1(a1178) ),
c_0_227 ).
fof(c_0_303,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_304,plain,
( ~ epred47_0
<=> ! [X3] :
( c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_305,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_228]) ).
cnf(c_0_306,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_229]) ).
cnf(c_0_307,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_230]),c_0_121])]) ).
cnf(c_0_308,negated_conjecture,
( ~ ndr1_0
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_231 ).
cnf(c_0_309,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp23
| hskp19
| c3_1(X1)
| c2_1(X1) ),
c_0_232 ).
cnf(c_0_310,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| hskp22
| c3_1(X1)
| c2_1(X1) ),
c_0_233 ).
cnf(c_0_311,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp26
| c2_1(X1) ),
c_0_234 ).
cnf(c_0_312,negated_conjecture,
( ~ hskp20
| c1_1(a1205) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_313,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp21
| c1_1(X1) ),
c_0_235 ).
cnf(c_0_314,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp12
| hskp20
| c1_1(X1) ),
c_0_236 ).
cnf(c_0_315,negated_conjecture,
( ~ hskp21
| c3_1(a1207) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
cnf(c_0_316,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp19
| hskp13
| c1_1(X1) ),
c_0_237 ).
cnf(c_0_317,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp2
| hskp22 ),
c_0_238 ).
fof(c_0_318,plain,
( ~ epred51_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1207) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
fof(c_0_320,plain,
( ~ epred42_0
<=> ! [X3] :
( ~ ndr1_0
| c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1182)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_239]),c_0_240]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp25
| c0_1(a1182)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_239]),c_0_240]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp0
| hskp25
| c3_1(a1168)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_153]),c_0_154]) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1211)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_195]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp22
| c2_1(a1211)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_209]),c_0_195]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp3
| hskp22
| hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_244]),c_0_245]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp8
| hskp3
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_249]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp6
| ~ c0_1(a1178)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp6
| hskp3
| c0_1(a1178)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_251]),c_0_252]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp3
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_253]),c_0_244]),c_0_245]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp17
| hskp22
| hskp14
| c3_1(a1200) ),
inference(spm,[status(thm)],[c_0_155,c_0_210]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp11
| hskp22
| hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_254]),c_0_255]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp19
| c3_1(a1204) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp27
| c1_1(a1201) ),
c_0_256 ).
cnf(c_0_335,negated_conjecture,
( ~ hskp27
| c0_1(a1201) ),
c_0_257 ).
cnf(c_0_336,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp8
| c3_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_121])]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp27
| c2_1(a1201) ),
c_0_259 ).
cnf(c_0_338,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1204) ),
c_0_260 ).
cnf(c_0_339,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1204) ),
c_0_261 ).
cnf(c_0_340,negated_conjecture,
( hskp1
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_121])]) ).
cnf(c_0_341,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1218) ),
c_0_263 ).
cnf(c_0_342,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1218) ),
c_0_264 ).
cnf(c_0_343,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1218) ),
c_0_265 ).
cnf(c_0_344,negated_conjecture,
( ~ hskp14
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_157]),c_0_267]),c_0_268]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp0
| hskp14
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_346,negated_conjecture,
( hskp26
| hskp17
| hskp0
| epred9_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_206]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp17
| hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_210]),c_0_211]),c_0_208]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp0
| c3_1(a1168)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_153]),c_0_273]) ).
cnf(c_0_349,negated_conjecture,
( hskp17
| epred2_0
| epred27_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_350,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_276,c_0_166]),c_0_132]) ).
cnf(c_0_351,negated_conjecture,
( epred1_0
| epred27_0
| epred44_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
fof(c_0_352,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1187) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_354,negated_conjecture,
( ~ hskp12
| ~ c2_1(a1187) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp21
| c2_1(a1207) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_356,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_279]) ).
cnf(c_0_357,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_280]) ).
fof(c_0_358,plain,
( ~ epred41_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp2
| c2_1(a1172) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp16
| ~ c3_1(a1199) ),
c_0_281 ).
cnf(c_0_361,negated_conjecture,
( ~ hskp16
| c2_1(a1199) ),
c_0_282 ).
cnf(c_0_362,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1199) ),
c_0_283 ).
fof(c_0_363,plain,
( ~ epred8_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_364,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_284]) ).
cnf(c_0_365,negated_conjecture,
( ~ hskp28
| c3_1(a1236) ),
c_0_285 ).
cnf(c_0_366,negated_conjecture,
( ~ hskp24
| c2_1(a1232)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_160]),c_0_158]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp18
| c1_1(a1202) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp18
| c3_1(a1202) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp18
| ~ c0_1(a1202) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1186) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
fof(c_0_371,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_372,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp20
| c3_1(a1205) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp20
| ~ c2_1(a1205) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
fof(c_0_375,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| hskp26 ) ),
introduced(definition) ).
cnf(c_0_376,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp27
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
fof(c_0_377,plain,
( ~ epred10_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_378,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_379,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c3_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_380,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_381,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_382,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_383,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_384,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
cnf(c_0_385,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_386,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_387,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp25
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_388,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause160]) ).
cnf(c_0_389,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_390,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_391,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_392,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause163]) ).
cnf(c_0_393,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause155]) ).
cnf(c_0_394,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_395,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_396,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause144]) ).
cnf(c_0_397,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_398,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp26
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp12
| ~ c3_1(a1187) ),
c_0_287 ).
cnf(c_0_400,negated_conjecture,
( hskp3
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred31_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_288]) ).
cnf(c_0_401,negated_conjecture,
( ~ c0_1(X1)
| hskp11
| c2_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_289]),c_0_121])]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp1
| hskp3
| c0_1(a1169)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_290]),c_0_291]) ).
cnf(c_0_403,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp12
| c1_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_292]),c_0_121])]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp22
| hskp11
| c2_1(a1211)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_194]),c_0_242]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp28
| hskp17
| c1_1(a1236)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp17
| hskp6
| c3_1(a1200)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_297]),c_0_211]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp22
| hskp0
| c2_1(a1211) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_195]),c_0_242]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp22
| c2_1(a1211)
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_298]),c_0_195]) ).
cnf(c_0_409,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred7_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp6
| c0_1(a1178)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_301]),c_0_302]) ).
cnf(c_0_411,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred20_0 ),
inference(split_equiv,[status(thm)],[c_0_303]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp0
| c3_1(a1168)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_153]),c_0_154]) ).
cnf(c_0_413,negated_conjecture,
( hskp6
| c2_1(X1)
| c3_1(X1)
| epred15_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_297]) ).
cnf(c_0_414,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred47_0 ),
inference(split_equiv,[status(thm)],[c_0_304]) ).
cnf(c_0_415,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred1_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_209]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp17
| c3_1(a1200)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_306]),c_0_211]) ).
cnf(c_0_417,negated_conjecture,
( hskp3
| c0_1(X1)
| c3_1(X1)
| epred31_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_307]) ).
cnf(c_0_418,negated_conjecture,
( hskp6
| hskp3
| c0_1(X1)
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_121])]) ).
cnf(c_0_419,negated_conjecture,
( ~ c1_1(X1)
| hskp23
| hskp19
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_121])]) ).
cnf(c_0_420,negated_conjecture,
( ~ c0_1(X1)
| hskp22
| hskp17
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_121])]) ).
cnf(c_0_421,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| hskp26
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_121])]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp20
| c1_1(a1205) ),
c_0_312 ).
cnf(c_0_423,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp21
| hskp12
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_121])]) ).
cnf(c_0_424,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp20
| hskp12
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_121])]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp21
| c3_1(a1207) ),
c_0_315 ).
cnf(c_0_426,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp19
| hskp13
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_121])]) ).
cnf(c_0_427,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp22
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_121])]) ).
cnf(c_0_428,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_318]),c_0_121])]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1207) ),
c_0_319 ).
cnf(c_0_430,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_121])]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp25
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp0
| hskp25
| epred2_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_323]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp22
| epred1_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp8
| hskp22
| hskp14
| epred31_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp6
| epred28_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).
cnf(c_0_436,negated_conjecture,
( hskp14
| hskp21
| hskp6 ),
clause35 ).
cnf(c_0_437,negated_conjecture,
( ~ hskp1
| ~ c0_1(a1169)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_290]),c_0_291]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp17
| hskp22
| hskp14
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_331]),c_0_332]),c_0_211]),c_0_208]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp19
| c3_1(a1204) ),
c_0_333 ).
cnf(c_0_440,negated_conjecture,
( ~ hskp27
| ~ c3_1(a1201)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_334]),c_0_335]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp27
| hskp8
| c3_1(a1201)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_335]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1204)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_209]),c_0_339]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp19
| hskp1
| c0_1(a1204)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_340]),c_0_339]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp23
| ~ c2_1(a1218)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_301]),c_0_342]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp23
| hskp6
| c2_1(a1218)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_297]),c_0_341]) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp0
| epred2_0
| epred18_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_447,negated_conjecture,
( hskp0
| epred2_0
| epred9_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_346]),c_0_347]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp0
| epred2_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_348]) ).
cnf(c_0_449,negated_conjecture,
( hskp0
| epred2_0
| epred27_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_347,c_0_349]) ).
cnf(c_0_450,negated_conjecture,
( ~ epred2_0
| epred27_0
| epred44_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_351]) ).
cnf(c_0_451,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| epred49_0 ),
inference(split_equiv,[status(thm)],[c_0_352]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1187) ),
c_0_353 ).
cnf(c_0_453,negated_conjecture,
( ~ hskp12
| ~ c2_1(a1187) ),
c_0_354 ).
cnf(c_0_454,negated_conjecture,
( ~ hskp21
| c2_1(a1207) ),
c_0_355 ).
cnf(c_0_455,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1174)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_253]),c_0_245]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp3
| c2_1(a1174)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_356]),c_0_244]) ).
cnf(c_0_457,negated_conjecture,
( ~ hskp3
| c2_1(a1174)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_253]),c_0_244]) ).
cnf(c_0_458,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_358]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp2
| c2_1(a1172) ),
c_0_359 ).
cnf(c_0_460,negated_conjecture,
( ~ hskp16
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_301]),c_0_361]),c_0_362]) ).
cnf(c_0_461,negated_conjecture,
( hskp16
| hskp1
| hskp17 ),
clause34 ).
cnf(c_0_462,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c0_1(X1)
| c1_1(X1)
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_363]),c_0_121])]) ).
cnf(c_0_463,negated_conjecture,
( ~ hskp28
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_296]),c_0_295]) ).
cnf(c_0_464,negated_conjecture,
( ~ hskp24
| epred18_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_366]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1168)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_153]),c_0_273]) ).
cnf(c_0_466,negated_conjecture,
( ~ hskp18
| c1_1(a1202) ),
c_0_367 ).
cnf(c_0_467,negated_conjecture,
( ~ hskp18
| c3_1(a1202) ),
c_0_368 ).
cnf(c_0_468,negated_conjecture,
( ~ hskp18
| ~ c0_1(a1202) ),
c_0_369 ).
cnf(c_0_469,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1186) ),
c_0_370 ).
cnf(c_0_470,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred22_0 ),
inference(split_equiv,[status(thm)],[c_0_371]) ).
cnf(c_0_471,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_372]) ).
cnf(c_0_472,negated_conjecture,
( ~ hskp20
| c3_1(a1205) ),
c_0_373 ).
cnf(c_0_473,negated_conjecture,
( ~ hskp20
| ~ c2_1(a1205) ),
c_0_374 ).
cnf(c_0_474,negated_conjecture,
( ~ c2_1(X1)
| hskp26
| c3_1(X1)
| c1_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_375]),c_0_121])]) ).
cnf(c_0_475,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp18
| hskp27
| c1_1(X1) ),
c_0_376 ).
cnf(c_0_476,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_377]) ).
cnf(c_0_477,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c3_1(X2)
| c2_1(X2) ),
c_0_378 ).
cnf(c_0_478,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c3_1(X2)
| c3_1(X1) ),
c_0_379 ).
cnf(c_0_479,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
c_0_380 ).
cnf(c_0_480,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2)
| c1_1(X1) ),
c_0_381 ).
cnf(c_0_481,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_382 ).
cnf(c_0_482,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_383 ).
cnf(c_0_483,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_384 ).
cnf(c_0_484,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c2_1(X2) ),
c_0_385 ).
cnf(c_0_485,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c0_1(X2)
| c1_1(X1) ),
c_0_386 ).
cnf(c_0_486,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp25
| c2_1(X2)
| c3_1(X1) ),
c_0_387 ).
cnf(c_0_487,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
c_0_388 ).
cnf(c_0_488,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp3
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_389 ).
cnf(c_0_489,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp11
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_390 ).
cnf(c_0_490,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_391 ).
cnf(c_0_491,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp17
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_392 ).
cnf(c_0_492,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_393 ).
cnf(c_0_493,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp1
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_394 ).
cnf(c_0_494,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_395 ).
cnf(c_0_495,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_396 ).
cnf(c_0_496,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_397 ).
cnf(c_0_497,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp26
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_398 ).
cnf(c_0_498,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1169) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp25
| c2_1(a1182) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp12
| hskp3
| c0_1(a1187)
| c2_1(a1187)
| epred31_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp1
| hskp3
| epred31_0
| hskp11
| c2_1(a1169)
| c3_1(a1169)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp22
| ~ c0_1(a1211)
| hskp11
| epred26_0
| hskp12
| c1_1(a1211)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp28
| ~ c0_1(a1236)
| ~ c3_1(a1236)
| hskp17
| epred24_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_405]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1200)
| hskp6
| epred15_0
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_406]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp22
| ~ c0_1(a1211)
| hskp0
| hskp17
| c1_1(a1211)
| epred24_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_407]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp22
| ~ c0_1(a1211)
| epred50_0
| hskp17
| c1_1(a1211)
| epred24_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_408]) ).
cnf(c_0_507,negated_conjecture,
( ~ c2_1(a1199)
| ~ hskp16
| c0_1(a1199)
| epred7_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_409]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp6
| epred40_0
| hskp22
| hskp14
| c3_1(a1178) ),
inference(spm,[status(thm)],[c_0_155,c_0_410]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1168)
| epred28_0
| c2_1(a1168)
| epred20_0 ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp13
| hskp6
| c2_1(a1192)
| epred15_0
| epred52_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_413]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp13
| c0_1(a1192)
| c2_1(a1192)
| epred47_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_414]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1190)
| c2_1(a1190)
| epred1_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_415,c_0_204]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1200)
| epred4_0
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_416]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp16
| hskp3
| c0_1(a1199)
| epred31_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_417]) ).
cnf(c_0_515,negated_conjecture,
( ~ c0_1(a1168)
| ~ hskp0
| c2_1(a1168)
| epred25_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_356]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp8
| hskp6
| hskp3
| c0_1(a1180)
| c2_1(a1180) ),
inference(spm,[status(thm)],[c_0_249,c_0_418]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp12
| hskp6
| hskp3
| c0_1(a1187)
| c2_1(a1187) ),
inference(spm,[status(thm)],[c_0_399,c_0_418]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp1
| hskp23
| hskp19
| c2_1(a1169)
| c3_1(a1169) ),
inference(spm,[status(thm)],[c_0_419,c_0_290]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp11
| hskp22
| hskp17
| c2_1(a1186)
| c3_1(a1186) ),
inference(spm,[status(thm)],[c_0_420,c_0_254]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp3
| hskp22
| hskp17
| c2_1(a1174)
| c3_1(a1174) ),
inference(spm,[status(thm)],[c_0_420,c_0_244]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp0
| hskp22
| hskp17
| c2_1(a1168)
| c3_1(a1168) ),
inference(spm,[status(thm)],[c_0_420,c_0_154]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp20
| ~ c3_1(a1205)
| hskp8
| hskp26
| c2_1(a1205) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1211)
| hskp21
| hskp12
| c1_1(a1211) ),
inference(spm,[status(thm)],[c_0_423,c_0_194]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1211)
| hskp20
| hskp12
| c1_1(a1211) ),
inference(spm,[status(thm)],[c_0_424,c_0_194]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp21
| ~ c2_1(a1207)
| hskp20
| hskp12
| c1_1(a1207) ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp22
| ~ c0_1(a1211)
| hskp19
| hskp13
| c1_1(a1211) ),
inference(spm,[status(thm)],[c_0_426,c_0_194]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1190)
| ~ c2_1(a1190)
| hskp22
| hskp2 ),
inference(spm,[status(thm)],[c_0_427,c_0_204]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1182)
| ~ c2_1(a1182)
| hskp22
| hskp2 ),
inference(spm,[status(thm)],[c_0_427,c_0_240]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1180)
| c3_1(a1180)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_247]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp6
| ~ c2_1(a1178)
| c3_1(a1178)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_251]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1174)
| c3_1(a1174)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_253]) ).
cnf(c_0_532,negated_conjecture,
( ~ c0_1(a1211)
| ~ c3_1(a1211)
| ~ hskp22
| epred45_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_150]) ).
cnf(c_0_533,negated_conjecture,
( ~ c0_1(a1207)
| ~ c3_1(a1207)
| ~ hskp21
| epred45_0 ),
inference(spm,[status(thm)],[c_0_429,c_0_150]) ).
cnf(c_0_534,negated_conjecture,
( ~ c3_1(a1232)
| ~ hskp24
| c0_1(a1232)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_129]) ).
cnf(c_0_535,negated_conjecture,
( ~ c3_1(a1207)
| ~ hskp21
| c0_1(a1207)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_429,c_0_129]) ).
cnf(c_0_536,negated_conjecture,
( ~ c3_1(a1194)
| ~ hskp14
| c0_1(a1194)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_129]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp24
| c0_1(a1232)
| c2_1(a1232)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_430]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp14
| c0_1(a1194)
| c3_1(a1194)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_307]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp23
| c0_1(a1218)
| c3_1(a1218)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_307]) ).
cnf(c_0_540,negated_conjecture,
( ~ hskp3
| hskp11
| c2_1(a1174)
| c3_1(a1174)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_244]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp0
| hskp11
| c2_1(a1168)
| c3_1(a1168)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_154]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp3
| hskp25
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_253]),c_0_244]),c_0_245]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp0
| epred2_0
| epred27_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp8
| hskp14
| epred1_0
| epred31_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_545,negated_conjecture,
( hskp21
| hskp14
| epred28_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp1
| epred28_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_402]),c_0_330]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp17
| hskp14
| epred2_0
| epred26_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_438]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp19
| hskp11
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_439]),c_0_339]),c_0_338]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp27
| hskp8
| epred2_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp19
| hskp1
| epred1_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp23
| hskp6
| epred15_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_552,negated_conjecture,
( epred2_0
| epred9_0
| epred18_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_553,negated_conjecture,
( epred27_0
| epred44_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_450]) ).
cnf(c_0_554,negated_conjecture,
( ~ hskp19
| hskp0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_439]),c_0_339]),c_0_338]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp17
| epred50_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_298]),c_0_210]),c_0_211]) ).
cnf(c_0_556,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1174)
| epred49_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_253]),c_0_244]) ).
cnf(c_0_557,negated_conjecture,
( ~ hskp8
| c2_1(a1180)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_414]),c_0_248]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp12
| epred47_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_414]),c_0_452]),c_0_453]) ).
cnf(c_0_559,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_243]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1207)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_243]),c_0_454]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1180)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_247]),c_0_249]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp6
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_251]),c_0_302]),c_0_252]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp3
| epred25_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp3
| epred16_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_455,c_0_457]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp2
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_147]),c_0_459]),c_0_148]) ).
cnf(c_0_566,negated_conjecture,
( hskp17
| hskp1
| epred40_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp14
| hskp0
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_267]),c_0_268]),c_0_266]) ).
cnf(c_0_568,negated_conjecture,
( hskp8
| epred33_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_115]) ).
cnf(c_0_569,negated_conjecture,
( hskp26
| hskp17
| epred18_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_464,c_0_206]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp0
| epred12_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_465,c_0_412]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp0
| epred2_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_412]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp18
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_466]),c_0_467]),c_0_468]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp11
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_356]),c_0_254]),c_0_469]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1174)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_470]),c_0_244]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_153]),c_0_154]),c_0_273]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp13
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_142]),c_0_143]),c_0_145]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp20
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_422]),c_0_472]),c_0_473]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp0
| hskp22
| hskp14
| epred12_0 ),
inference(spm,[status(thm)],[c_0_465,c_0_197]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp14
| c3_1(a1194)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_300]),c_0_268]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp23
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_300]),c_0_342]),c_0_341]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp14
| hskp26
| c3_1(a1194)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_267]),c_0_266]) ).
cnf(c_0_582,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp27
| hskp18
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_121])]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp19
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_476]),c_0_339]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp17
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_476]),c_0_211]) ).
cnf(c_0_585,negated_conjecture,
( ~ epred45_0
| ~ epred49_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_133]),c_0_126]),c_0_352]) ).
cnf(c_0_586,negated_conjecture,
( ~ epred22_0
| ~ epred27_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_318]),c_0_371]),c_0_119]) ).
cnf(c_0_587,negated_conjecture,
( ~ epred16_0
| ~ epred45_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_133]),c_0_223]),c_0_280]) ).
cnf(c_0_588,negated_conjecture,
( ~ epred45_0
| ~ epred46_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_133]),c_0_177]),c_0_304]) ).
cnf(c_0_589,negated_conjecture,
( ~ epred18_0
| ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_120]),c_0_138]),c_0_224]) ).
cnf(c_0_590,negated_conjecture,
( ~ epred30_0
| ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_482,c_0_320]),c_0_224]),c_0_214]) ).
cnf(c_0_591,negated_conjecture,
( ~ epred39_0
| ~ epred40_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_483,c_0_230]),c_0_226]),c_0_358]) ).
cnf(c_0_592,negated_conjecture,
( ~ epred2_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_484,c_0_289]),c_0_132]) ).
cnf(c_0_593,negated_conjecture,
( ~ epred27_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_485,c_0_292]),c_0_119]) ).
cnf(c_0_594,negated_conjecture,
( ~ epred16_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_486,c_0_175]),c_0_280]) ).
cnf(c_0_595,negated_conjecture,
( ~ epred32_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_487,c_0_215]),c_0_284]) ).
cnf(c_0_596,negated_conjecture,
( ~ epred12_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_488,c_0_180]),c_0_228]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred26_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_489,c_0_218]),c_0_184]) ).
cnf(c_0_598,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_490,c_0_218]),c_0_119]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred24_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_491,c_0_219]),c_0_279]) ).
cnf(c_0_600,negated_conjecture,
( ~ epred14_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_492,c_0_258]),c_0_372]) ).
cnf(c_0_601,negated_conjecture,
( ~ epred19_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_493,c_0_262]),c_0_303]) ).
cnf(c_0_602,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_494,c_0_222]),c_0_280]) ).
cnf(c_0_603,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_495,c_0_200]),c_0_140]),c_0_377]) ).
cnf(c_0_604,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_363]),c_0_225]) ).
cnf(c_0_605,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_497,c_0_375]),c_0_229]) ).
cnf(c_0_606,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1169) ),
c_0_498 ).
cnf(c_0_607,negated_conjecture,
( ~ hskp25
| c2_1(a1182) ),
c_0_499 ).
cnf(c_0_608,negated_conjecture,
( hskp14
| hskp1
| hskp0 ),
clause32 ).
cnf(c_0_609,negated_conjecture,
( hskp19
| hskp21
| hskp8 ),
clause36 ).
cnf(c_0_610,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_434,c_0_545,c_0_327,c_0_546,c_0_547,c_0_404,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,c_0_553,c_0_347,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_433,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_455,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_322,c_0_572,c_0_573,c_0_574,c_0_198,c_0_344,c_0_575,c_0_576,c_0_577,c_0_578,c_0_465,c_0_579,c_0_580,c_0_581,c_0_274,c_0_196,c_0_325,c_0_277,c_0_582,c_0_427,c_0_171,c_0_403,c_0_326,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_149,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_350,c_0_273,c_0_291,c_0_606,c_0_245,c_0_252,c_0_255,c_0_469,c_0_453,c_0_452,c_0_145,c_0_143,c_0_268,c_0_362,c_0_473,c_0_429,c_0_242,c_0_341,c_0_342,c_0_158,c_0_249,c_0_248,c_0_472,c_0_425,c_0_194,c_0_160,c_0_365,c_0_302,c_0_361,c_0_454,c_0_607,c_0_295,c_0_154,c_0_210,c_0_195,c_0_203,c_0_296,c_0_608,c_0_172,c_0_461,c_0_436,c_0_206,c_0_609,c_0_115]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN461-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 10:59:04 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.90/3.72 % Version: 3.5.1
% 18.90/3.72 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.90/3.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.90/3.72 % Starting new_bool_3 with 300s (1) cores
% 18.90/3.72 % Starting new_bool_1 with 300s (1) cores
% 18.90/3.72 % Starting sh5l with 300s (1) cores
% 18.90/3.72 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2977950 completed with status 0
% 18.90/3.72 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.90/3.72 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.90/3.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.90/3.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.90/3.72 % No SInE strategy applied
% 18.90/3.72 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.90/3.72 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.90/3.72 % Starting SubtermCWHack with 151s (1) cores
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.90/3.72 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 18.90/3.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 18.90/3.72 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2977956 completed with status 0
% 18.90/3.72 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 18.90/3.72 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.90/3.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.90/3.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.90/3.72 % No SInE strategy applied
% 18.90/3.72 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.90/3.72 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.90/3.72 % Starting SubtermCWHack with 151s (1) cores
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.90/3.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.90/3.72 % Preprocessing time : 0.002 s
% 18.90/3.72 % SatCheck found unsatisfiable ground set
% 18.90/3.72
% 18.90/3.72 % Proof found!
% 18.90/3.72 % SZS status Unsatisfiable
% 18.90/3.72 % SZS output start CNFRefutation
% See solution above
% 18.90/3.73 % Parsed axioms : 176
% 18.90/3.73 % Removed by relevancy pruning/SinE : 0
% 18.90/3.73 % Initial clauses : 176
% 18.90/3.73 % Removed in clause preprocessing : 0
% 18.90/3.73 % Initial clauses in saturation : 176
% 18.90/3.73 % Processed clauses : 8556
% 18.90/3.73 % ...of these trivial : 0
% 18.90/3.73 % ...subsumed : 3556
% 18.90/3.73 % ...remaining for further processing : 5000
% 18.90/3.73 % Other redundant clauses eliminated : 0
% 18.90/3.73 % Clauses deleted for lack of memory : 0
% 18.90/3.73 % Backward-subsumed : 1712
% 18.90/3.73 % Backward-rewritten : 48
% 18.90/3.73 % Generated clauses : 66000
% 18.90/3.73 % ...of the previous two non-redundant : 63129
% 18.90/3.73 % ...aggressively subsumed : 0
% 18.90/3.73 % Contextual simplify-reflections : 637
% 18.90/3.73 % Paramodulations : 65913
% 18.90/3.73 % Factorizations : 0
% 18.90/3.73 % NegExts : 0
% 18.90/3.73 % Equation resolutions : 0
% 18.90/3.73 % Disequality decompositions : 0
% 18.90/3.73 % Total rewrite steps : 78
% 18.90/3.73 % ...of those cached : 77
% 18.90/3.73 % Propositional unsat checks : 1
% 18.90/3.73 % Propositional check models : 0
% 18.90/3.73 % Propositional check unsatisfiable : 1
% 18.90/3.73 % Propositional clauses : 57298
% 18.90/3.73 % Propositional clauses after purity: 56837
% 18.90/3.73 % Propositional unsat core size : 169
% 18.90/3.73 % Propositional preprocessing time : 0.000
% 18.90/3.73 % Propositional encoding time : 0.042
% 18.90/3.73 % Propositional solver time : 0.136
% 18.90/3.73 % Success case prop preproc time : 0.000
% 18.90/3.73 % Success case prop encoding time : 0.042
% 18.90/3.73 % Success case prop solver time : 0.136
% 18.90/3.73 % Current number of processed clauses : 3207
% 18.90/3.73 % Positive orientable unit clauses : 1
% 18.90/3.73 % Positive unorientable unit clauses: 0
% 18.90/3.73 % Negative unit clauses : 0
% 18.90/3.73 % Non-unit-clauses : 3206
% 18.90/3.73 % Current number of unprocessed clauses: 54091
% 18.90/3.73 % ...number of literals in the above : 372514
% 18.90/3.73 % Current number of archived formulas : 0
% 18.90/3.73 % Current number of archived clauses : 1760
% 18.90/3.73 % Clause-clause subsumption calls (NU) : 4959426
% 18.90/3.73 % Rec. Clause-clause subsumption calls : 258495
% 18.90/3.73 % Non-unit clause-clause subsumptions : 5947
% 18.90/3.73 % Unit Clause-clause subsumption calls : 5
% 18.90/3.73 % Rewrite failures with RHS unbound : 0
% 18.90/3.73 % BW rewrite match attempts : 1
% 18.90/3.73 % BW rewrite match successes : 1
% 18.90/3.73 % Condensation attempts : 8556
% 18.90/3.73 % Condensation successes : 0
% 18.90/3.73 % Termbank termtop insertions : 632944
% 18.90/3.73 % Search garbage collected termcells : 430
% 18.90/3.73
% 18.90/3.73 % -------------------------------------------------
% 18.90/3.73 % User time : 3.009 s
% 18.90/3.73 % System time : 0.082 s
% 18.90/3.73 % Total time : 3.091 s
% 18.90/3.73 % Maximum resident set size: 3976 pages
% 18.90/3.73
% 18.90/3.73 % -------------------------------------------------
% 18.90/3.73 % User time : 12.086 s
% 18.90/3.73 % System time : 0.249 s
% 18.90/3.73 % Total time : 12.335 s
% 18.90/3.73 % Maximum resident set size: 4608 pages
% 18.90/3.73 % E exiting
%------------------------------------------------------------------------------