TSTP Solution File: SYN510-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN510-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:52:38 EDT 2023
% Result : Unsatisfiable 1.70s 1.77s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 285
% Syntax : Number of formulae : 734 ( 2 unt; 120 typ; 0 def)
% Number of atoms : 2275 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2628 ( 967 ~;1624 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 89 ( 88 usr; 85 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 224 ( 1 sgn; 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp31: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
hskp30: $o ).
tff(decl_25,type,
hskp29: $o ).
tff(decl_26,type,
hskp28: $o ).
tff(decl_27,type,
hskp27: $o ).
tff(decl_28,type,
hskp26: $o ).
tff(decl_29,type,
hskp25: $o ).
tff(decl_30,type,
hskp24: $o ).
tff(decl_31,type,
hskp23: $o ).
tff(decl_32,type,
hskp22: $o ).
tff(decl_33,type,
hskp21: $o ).
tff(decl_34,type,
hskp20: $o ).
tff(decl_35,type,
hskp19: $o ).
tff(decl_36,type,
hskp18: $o ).
tff(decl_37,type,
hskp17: $o ).
tff(decl_38,type,
hskp16: $o ).
tff(decl_39,type,
hskp15: $o ).
tff(decl_40,type,
hskp14: $o ).
tff(decl_41,type,
hskp13: $o ).
tff(decl_42,type,
hskp12: $o ).
tff(decl_43,type,
hskp11: $o ).
tff(decl_44,type,
hskp10: $o ).
tff(decl_45,type,
hskp9: $o ).
tff(decl_46,type,
hskp8: $o ).
tff(decl_47,type,
hskp7: $o ).
tff(decl_48,type,
hskp6: $o ).
tff(decl_49,type,
hskp5: $o ).
tff(decl_50,type,
hskp4: $o ).
tff(decl_51,type,
hskp3: $o ).
tff(decl_52,type,
hskp2: $o ).
tff(decl_53,type,
hskp1: $o ).
tff(decl_54,type,
hskp0: $o ).
tff(decl_55,type,
a563: $i ).
tff(decl_56,type,
c0_1: $i > $o ).
tff(decl_57,type,
c1_1: $i > $o ).
tff(decl_58,type,
c3_1: $i > $o ).
tff(decl_59,type,
a562: $i ).
tff(decl_60,type,
c2_1: $i > $o ).
tff(decl_61,type,
a552: $i ).
tff(decl_62,type,
a541: $i ).
tff(decl_63,type,
a615: $i ).
tff(decl_64,type,
a604: $i ).
tff(decl_65,type,
a594: $i ).
tff(decl_66,type,
a590: $i ).
tff(decl_67,type,
a584: $i ).
tff(decl_68,type,
a582: $i ).
tff(decl_69,type,
a580: $i ).
tff(decl_70,type,
a576: $i ).
tff(decl_71,type,
a571: $i ).
tff(decl_72,type,
a570: $i ).
tff(decl_73,type,
a567: $i ).
tff(decl_74,type,
a566: $i ).
tff(decl_75,type,
a565: $i ).
tff(decl_76,type,
a564: $i ).
tff(decl_77,type,
a553: $i ).
tff(decl_78,type,
a551: $i ).
tff(decl_79,type,
a548: $i ).
tff(decl_80,type,
a547: $i ).
tff(decl_81,type,
a546: $i ).
tff(decl_82,type,
a544: $i ).
tff(decl_83,type,
a540: $i ).
tff(decl_84,type,
a539: $i ).
tff(decl_85,type,
a537: $i ).
tff(decl_86,type,
a536: $i ).
tff(decl_87,type,
a587: $i ).
tff(decl_88,type,
a573: $i ).
tff(decl_89,type,
a549: $i ).
tff(decl_90,type,
a538: $i ).
tff(decl_91,type,
epred1_0: $o ).
tff(decl_92,type,
epred2_0: $o ).
tff(decl_93,type,
epred3_0: $o ).
tff(decl_94,type,
epred4_0: $o ).
tff(decl_95,type,
epred5_0: $o ).
tff(decl_96,type,
epred6_0: $o ).
tff(decl_97,type,
epred7_0: $o ).
tff(decl_98,type,
epred8_0: $o ).
tff(decl_99,type,
epred9_0: $o ).
tff(decl_100,type,
epred10_0: $o ).
tff(decl_101,type,
epred11_0: $o ).
tff(decl_102,type,
epred12_0: $o ).
tff(decl_103,type,
epred13_0: $o ).
tff(decl_104,type,
epred14_0: $o ).
tff(decl_105,type,
epred15_0: $o ).
tff(decl_106,type,
epred16_0: $o ).
tff(decl_107,type,
epred17_0: $o ).
tff(decl_108,type,
epred18_0: $o ).
tff(decl_109,type,
epred19_0: $o ).
tff(decl_110,type,
epred20_0: $o ).
tff(decl_111,type,
epred21_0: $o ).
tff(decl_112,type,
epred22_0: $o ).
tff(decl_113,type,
epred23_0: $o ).
tff(decl_114,type,
epred24_0: $o ).
tff(decl_115,type,
epred25_0: $o ).
tff(decl_116,type,
epred26_0: $o ).
tff(decl_117,type,
epred27_0: $o ).
tff(decl_118,type,
epred28_0: $o ).
tff(decl_119,type,
epred29_0: $o ).
tff(decl_120,type,
epred30_0: $o ).
tff(decl_121,type,
epred31_0: $o ).
tff(decl_122,type,
epred32_0: $o ).
tff(decl_123,type,
epred33_0: $o ).
tff(decl_124,type,
epred34_0: $o ).
tff(decl_125,type,
epred35_0: $o ).
tff(decl_126,type,
epred36_0: $o ).
tff(decl_127,type,
epred37_0: $o ).
tff(decl_128,type,
epred38_0: $o ).
tff(decl_129,type,
epred39_0: $o ).
tff(decl_130,type,
epred40_0: $o ).
tff(decl_131,type,
epred41_0: $o ).
tff(decl_132,type,
epred42_0: $o ).
tff(decl_133,type,
epred43_0: $o ).
tff(decl_134,type,
epred44_0: $o ).
tff(decl_135,type,
epred45_0: $o ).
tff(decl_136,type,
epred46_0: $o ).
tff(decl_137,type,
epred47_0: $o ).
tff(decl_138,type,
epred48_0: $o ).
tff(decl_139,type,
epred49_0: $o ).
tff(decl_140,type,
epred50_0: $o ).
tff(decl_141,type,
epred51_0: $o ).
cnf(clause12,negated_conjecture,
( ndr1_0
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(clause36,negated_conjecture,
( hskp31
| hskp20
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause10,negated_conjecture,
( ndr1_0
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(clause163,negated_conjecture,
( c2_1(X1)
| hskp3
| hskp6
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
cnf(clause157,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause90,negated_conjecture,
( c1_1(a544)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause89,negated_conjecture,
( c0_1(a544)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause147,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp3
| hskp16
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
cnf(clause72,negated_conjecture,
( c1_1(a570)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause117,negated_conjecture,
( ~ c2_1(a570)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause61,negated_conjecture,
( c2_1(a615)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause60,negated_conjecture,
( c0_1(a615)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause96,negated_conjecture,
( ~ c1_1(a615)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause65,negated_conjecture,
( c1_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause101,negated_conjecture,
( ~ c2_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause37,negated_conjecture,
( hskp5
| hskp27
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause49,negated_conjecture,
( c1_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( c0_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause83,negated_conjecture,
( c1_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( c3_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause124,negated_conjecture,
( ~ c0_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause38,negated_conjecture,
( hskp5
| hskp10
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause40,negated_conjecture,
( hskp13
| hskp24
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause99,negated_conjecture,
( ~ c1_1(a594)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause64,negated_conjecture,
( c2_1(a594)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause98,negated_conjecture,
( ~ c0_1(a594)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause76,negated_conjecture,
( c3_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause75,negated_conjecture,
( c2_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause120,negated_conjecture,
( ~ c0_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause137,negated_conjecture,
( ~ c3_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause92,negated_conjecture,
( c0_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause136,negated_conjecture,
( ~ c2_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause121,negated_conjecture,
( ~ c2_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause188,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
cnf(clause81,negated_conjecture,
( c1_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause123,negated_conjecture,
( ~ c2_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause82,negated_conjecture,
( c3_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause100,negated_conjecture,
( ~ c0_1(a590)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause113,negated_conjecture,
( ~ c1_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause112,negated_conjecture,
( ~ c0_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause114,negated_conjecture,
( ~ c3_1(a573)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause132,negated_conjecture,
( ~ c1_1(a546)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause88,negated_conjecture,
( c3_1(a546)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause131,negated_conjecture,
( ~ c0_1(a546)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause118,negated_conjecture,
( ~ c3_1(a570)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause191,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| hskp31
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
cnf(clause203,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
cnf(clause69,negated_conjecture,
( c1_1(a580)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause108,negated_conjecture,
( ~ c0_1(a580)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ c3_1(a580)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause43,negated_conjecture,
( hskp3
| hskp24
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause126,negated_conjecture,
( ~ c1_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause125,negated_conjecture,
( ~ c0_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause50,negated_conjecture,
( c3_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause127,negated_conjecture,
( ~ c2_1(a549)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause46,negated_conjecture,
( hskp24
| hskp9
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause140,negated_conjecture,
( ~ c3_1(a538)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause139,negated_conjecture,
( ~ c2_1(a538)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause58,negated_conjecture,
( c1_1(a541)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause57,negated_conjecture,
( c0_1(a541)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause59,negated_conjecture,
( c2_1(a541)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause35,negated_conjecture,
( hskp31
| hskp10
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause68,negated_conjecture,
( c3_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause67,negated_conjecture,
( c2_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause104,negated_conjecture,
( ~ c3_1(a587)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause102,negated_conjecture,
( ~ c0_1(a587)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause103,negated_conjecture,
( ~ c2_1(a587)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause186,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause74,negated_conjecture,
( c1_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause119,negated_conjecture,
( ~ c2_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause33,negated_conjecture,
( hskp28
| hskp15
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause66,negated_conjecture,
( c3_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause105,negated_conjecture,
( ~ c0_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause47,negated_conjecture,
( hskp21
| hskp22
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause107,negated_conjecture,
( ~ c1_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause133,negated_conjecture,
( ~ c3_1(a544)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause143,negated_conjecture,
( ~ c3_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause94,negated_conjecture,
( c0_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause95,negated_conjecture,
( c2_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause87,negated_conjecture,
( c2_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause129,negated_conjecture,
( ~ c0_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause130,negated_conjecture,
( ~ c3_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause93,negated_conjecture,
( c2_1(a537)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause141,negated_conjecture,
( ~ c1_1(a537)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
cnf(clause176,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp3
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause97,negated_conjecture,
( ~ c3_1(a604)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause63,negated_conjecture,
( c2_1(a604)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause142,negated_conjecture,
( ~ c3_1(a537)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(clause154,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp13
| hskp20
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
cnf(clause122,negated_conjecture,
( ~ c1_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause79,negated_conjecture,
( c0_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause155,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp29
| hskp21
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
cnf(clause150,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp29
| hskp11
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
cnf(clause156,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| hskp22
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause168,negated_conjecture,
( c3_1(X1)
| hskp25
| hskp9
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause167,negated_conjecture,
( c3_1(X1)
| hskp14
| hskp21
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause164,negated_conjecture,
( c3_1(X1)
| hskp12
| hskp21
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause173,negated_conjecture,
( hskp10
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause44,negated_conjecture,
( hskp26
| hskp7
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause73,negated_conjecture,
( c0_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause204,negated_conjecture,
( c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
cnf(clause106,negated_conjecture,
( ~ c2_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause78,negated_conjecture,
( c3_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause80,negated_conjecture,
( c3_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause56,negated_conjecture,
( c3_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause54,negated_conjecture,
( c0_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause55,negated_conjecture,
( c2_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause174,negated_conjecture,
( hskp20
| hskp14
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause77,negated_conjecture,
( c0_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause208,negated_conjecture,
( c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).
cnf(clause207,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).
cnf(clause202,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
cnf(clause200,negated_conjecture,
( hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
cnf(clause198,negated_conjecture,
( c0_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
cnf(clause199,negated_conjecture,
( c1_1(X2)
| hskp23
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
cnf(clause189,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
cnf(clause195,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
cnf(clause190,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp6
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause192,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause197,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
cnf(clause196,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp24
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
cnf(clause181,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp2
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause185,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp22
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause177,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause179,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause175,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause34,negated_conjecture,
( hskp31
| hskp12
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(c_0_128,negated_conjecture,
( ndr1_0
| ~ hskp20 ),
clause12 ).
cnf(c_0_129,negated_conjecture,
( hskp31
| hskp20
| hskp22 ),
clause36 ).
cnf(c_0_130,negated_conjecture,
( ndr1_0
| ~ hskp31 ),
clause1 ).
cnf(c_0_131,negated_conjecture,
( ndr1_0
| ~ hskp22 ),
clause10 ).
cnf(c_0_132,negated_conjecture,
( c2_1(X1)
| hskp3
| hskp6
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause163 ).
cnf(c_0_133,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause157 ).
fof(c_0_134,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_135,plain,
( ~ epred43_0
<=> ! [X1] :
( c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_136,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_131]) ).
cnf(c_0_137,negated_conjecture,
( c2_1(X1)
| hskp3
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
inference(csr,[status(thm)],[c_0_132,c_0_133]) ).
fof(c_0_138,plain,
( ~ epred23_0
<=> ! [X1] :
( hskp31
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( epred22_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_134]) ).
cnf(c_0_140,negated_conjecture,
( c1_1(a544)
| ~ hskp5 ),
clause90 ).
cnf(c_0_141,negated_conjecture,
( c0_1(a544)
| ~ hskp5 ),
clause89 ).
cnf(c_0_142,negated_conjecture,
( epred43_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_136])]) ).
cnf(c_0_143,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp3
| hskp16
| ~ ndr1_0 ),
clause147 ).
cnf(c_0_144,negated_conjecture,
( c2_1(X1)
| hskp3
| hskp6
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_136])]) ).
cnf(c_0_145,negated_conjecture,
( c1_1(a570)
| ~ hskp16 ),
clause72 ).
cnf(c_0_146,negated_conjecture,
( ~ c2_1(a570)
| ~ hskp16 ),
clause117 ).
cnf(c_0_147,negated_conjecture,
( epred23_0
| c1_1(X1)
| hskp31
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_136])]) ).
cnf(c_0_148,negated_conjecture,
( c2_1(a615)
| ~ hskp27 ),
clause61 ).
cnf(c_0_149,negated_conjecture,
( c0_1(a615)
| ~ hskp27 ),
clause60 ).
cnf(c_0_150,negated_conjecture,
( ~ c1_1(a615)
| ~ hskp27 ),
clause96 ).
fof(c_0_151,plain,
( ~ epred33_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_152,negated_conjecture,
( epred22_0
| ~ c2_1(a544)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_153,negated_conjecture,
( epred43_0
| c2_1(a544)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_140]),c_0_141]) ).
fof(c_0_154,plain,
( ~ epred44_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_155,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp3
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_156,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp3
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_136])]) ).
cnf(c_0_157,negated_conjecture,
( hskp3
| hskp6
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_158,negated_conjecture,
( c1_1(a590)
| ~ hskp24 ),
clause65 ).
cnf(c_0_159,negated_conjecture,
( ~ c2_1(a590)
| ~ hskp24 ),
clause101 ).
fof(c_0_160,plain,
( ~ epred45_0
<=> ! [X3] :
( c0_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_161,negated_conjecture,
( epred23_0
| hskp31
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]) ).
cnf(c_0_162,negated_conjecture,
( hskp5
| hskp27
| hskp25 ),
clause37 ).
cnf(c_0_163,negated_conjecture,
( c1_1(a563)
| ~ hskp31 ),
clause49 ).
cnf(c_0_164,negated_conjecture,
( c0_1(a563)
| ~ hskp31 ),
clause48 ).
fof(c_0_165,plain,
( ~ epred24_0
<=> ! [X2] :
( c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_166,negated_conjecture,
( epred33_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_151]) ).
cnf(c_0_167,negated_conjecture,
( c1_1(a551)
| ~ hskp10 ),
clause83 ).
cnf(c_0_168,negated_conjecture,
( c3_1(a551)
| ~ hskp10 ),
clause84 ).
cnf(c_0_169,negated_conjecture,
( ~ c0_1(a551)
| ~ hskp10 ),
clause124 ).
cnf(c_0_170,negated_conjecture,
( epred43_0
| epred22_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_171,negated_conjecture,
( hskp5
| hskp10
| hskp14 ),
clause38 ).
cnf(c_0_172,negated_conjecture,
( epred44_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_154]),c_0_136])]) ).
fof(c_0_173,plain,
( ~ epred1_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_174,negated_conjecture,
( epred3_0
| c2_1(X1)
| c1_1(X1)
| hskp3
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_155]),c_0_136])]) ).
cnf(c_0_175,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_156]),c_0_157]) ).
cnf(c_0_176,negated_conjecture,
( hskp3
| hskp6
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_158]),c_0_159]) ).
cnf(c_0_177,negated_conjecture,
( hskp13
| hskp24
| hskp6 ),
clause40 ).
cnf(c_0_178,negated_conjecture,
( ~ c1_1(a594)
| ~ hskp25 ),
clause99 ).
cnf(c_0_179,negated_conjecture,
( epred45_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_160]) ).
cnf(c_0_180,negated_conjecture,
( c2_1(a594)
| ~ hskp25 ),
clause64 ).
cnf(c_0_181,negated_conjecture,
( ~ c0_1(a594)
| ~ hskp25 ),
clause98 ).
cnf(c_0_182,negated_conjecture,
( epred23_0
| hskp5
| hskp25
| hskp31 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_183,negated_conjecture,
( epred22_0
| ~ c2_1(a563)
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_163]),c_0_164]) ).
cnf(c_0_184,negated_conjecture,
( epred43_0
| c2_1(a563)
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_163]),c_0_164]) ).
cnf(c_0_185,negated_conjecture,
( epred24_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_165]) ).
cnf(c_0_186,negated_conjecture,
( c3_1(a566)
| ~ hskp14 ),
clause76 ).
cnf(c_0_187,negated_conjecture,
( c2_1(a566)
| ~ hskp14 ),
clause75 ).
cnf(c_0_188,negated_conjecture,
( ~ c0_1(a566)
| ~ hskp14 ),
clause120 ).
cnf(c_0_189,negated_conjecture,
( epred33_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_169]) ).
cnf(c_0_190,negated_conjecture,
( epred43_0
| epred22_0
| hskp10
| hskp14 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_191,negated_conjecture,
( epred44_0
| epred33_0
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_172]) ).
fof(c_0_192,plain,
( ~ epred30_0
<=> ! [X2] :
( hskp11
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_193,plain,
( ~ epred4_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_194,plain,
( ~ epred6_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_195,negated_conjecture,
( ~ c3_1(a539)
| ~ hskp3 ),
clause137 ).
cnf(c_0_196,negated_conjecture,
( epred1_0
| c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_136])]) ).
cnf(c_0_197,negated_conjecture,
( c0_1(a539)
| ~ hskp3 ),
clause92 ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a539)
| ~ hskp3 ),
clause136 ).
cnf(c_0_199,negated_conjecture,
( ~ c2_1(a565)
| ~ hskp13 ),
clause121 ).
cnf(c_0_200,negated_conjecture,
( epred3_0
| c2_1(X1)
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_144]) ).
cnf(c_0_201,negated_conjecture,
( hskp3
| hskp6
| hskp13 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_202,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause188 ).
cnf(c_0_203,negated_conjecture,
( epred45_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_204,negated_conjecture,
( epred43_0
| epred23_0
| epred22_0
| hskp25
| hskp31 ),
inference(spm,[status(thm)],[c_0_170,c_0_182]) ).
cnf(c_0_205,negated_conjecture,
( epred43_0
| epred22_0
| ~ hskp31 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_206,negated_conjecture,
( epred24_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_188]) ).
cnf(c_0_207,negated_conjecture,
( epred43_0
| epred33_0
| epred22_0
| hskp14 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_208,negated_conjecture,
( epred44_0
| epred33_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_186]),c_0_188]) ).
cnf(c_0_209,negated_conjecture,
( c1_1(a553)
| ~ hskp11 ),
clause81 ).
cnf(c_0_210,negated_conjecture,
( ~ c2_1(a553)
| ~ hskp11 ),
clause123 ).
cnf(c_0_211,negated_conjecture,
( c3_1(a553)
| ~ hskp11 ),
clause82 ).
cnf(c_0_212,negated_conjecture,
( ~ c0_1(a590)
| ~ hskp24 ),
clause100 ).
cnf(c_0_213,negated_conjecture,
( epred30_0
| c3_1(X1)
| c0_1(X1)
| hskp11
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_192]),c_0_136])]) ).
cnf(c_0_214,negated_conjecture,
( ~ c1_1(a573)
| ~ hskp18 ),
clause113 ).
cnf(c_0_215,negated_conjecture,
( epred4_0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_193]) ).
cnf(c_0_216,negated_conjecture,
( ~ c0_1(a573)
| ~ hskp18 ),
clause112 ).
cnf(c_0_217,negated_conjecture,
( ~ c3_1(a573)
| ~ hskp18 ),
clause114 ).
cnf(c_0_218,negated_conjecture,
( ~ c1_1(a546)
| ~ hskp6 ),
clause132 ).
cnf(c_0_219,negated_conjecture,
( epred6_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_194]) ).
cnf(c_0_220,negated_conjecture,
( c3_1(a546)
| ~ hskp6 ),
clause88 ).
cnf(c_0_221,negated_conjecture,
( ~ c0_1(a546)
| ~ hskp6 ),
clause131 ).
cnf(c_0_222,negated_conjecture,
( epred1_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_223,negated_conjecture,
( epred3_0
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).
cnf(c_0_224,negated_conjecture,
( ~ c3_1(a570)
| ~ hskp16 ),
clause118 ).
cnf(c_0_225,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| hskp31
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause191 ).
cnf(c_0_226,negated_conjecture,
( ~ epred30_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_202,c_0_192]),c_0_134]) ).
cnf(c_0_227,negated_conjecture,
( epred45_0
| epred43_0
| epred23_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]) ).
cnf(c_0_228,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause203 ).
cnf(c_0_229,negated_conjecture,
( epred43_0
| epred33_0
| epred24_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_230,negated_conjecture,
( epred44_0
| epred43_0
| epred33_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_207]) ).
cnf(c_0_231,negated_conjecture,
( epred43_0
| ~ c0_1(a553)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_209]),c_0_210]) ).
cnf(c_0_232,negated_conjecture,
( epred33_0
| c0_1(a553)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_209]),c_0_211]) ).
cnf(c_0_233,negated_conjecture,
( epred33_0
| ~ c3_1(a590)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_158]),c_0_212]) ).
cnf(c_0_234,negated_conjecture,
( epred30_0
| c3_1(a590)
| hskp11
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_158]),c_0_212]) ).
fof(c_0_235,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_236,negated_conjecture,
( c1_1(a580)
| ~ hskp20 ),
clause69 ).
cnf(c_0_237,negated_conjecture,
( ~ c0_1(a580)
| ~ hskp20 ),
clause108 ).
cnf(c_0_238,negated_conjecture,
( ~ c3_1(a580)
| ~ hskp20 ),
clause109 ).
cnf(c_0_239,negated_conjecture,
( epred4_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]) ).
cnf(c_0_240,negated_conjecture,
( hskp3
| hskp24
| hskp18 ),
clause43 ).
cnf(c_0_241,negated_conjecture,
( epred45_0
| ~ c2_1(a573)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_179]),c_0_216]) ).
cnf(c_0_242,negated_conjecture,
( c2_1(a573)
| hskp3
| hskp6
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_217,c_0_175]) ).
cnf(c_0_243,negated_conjecture,
( ~ c1_1(a549)
| ~ hskp9 ),
clause126 ).
cnf(c_0_244,negated_conjecture,
( ~ c0_1(a549)
| ~ hskp9 ),
clause125 ).
cnf(c_0_245,negated_conjecture,
( epred6_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_246,negated_conjecture,
( epred1_0
| c2_1(X1)
| c3_1(X1)
| hskp6 ),
inference(spm,[status(thm)],[c_0_222,c_0_175]) ).
cnf(c_0_247,negated_conjecture,
( epred3_0
| c2_1(a546)
| c1_1(a546)
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_220]),c_0_223]) ).
cnf(c_0_248,negated_conjecture,
( epred43_0
| ~ c0_1(a570)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_145]),c_0_146]) ).
cnf(c_0_249,negated_conjecture,
( epred30_0
| c0_1(a570)
| hskp11
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_145]),c_0_224]) ).
cnf(c_0_250,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_225,c_0_138]),c_0_165]) ).
cnf(c_0_251,negated_conjecture,
( epred45_0
| epred43_0
| epred23_0
| ~ epred30_0 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_252,negated_conjecture,
( ~ epred45_0
| ~ epred44_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_228,c_0_154]),c_0_160]),c_0_165]) ).
cnf(c_0_253,negated_conjecture,
( epred43_0
| epred33_0
| epred24_0
| ~ epred30_0 ),
inference(spm,[status(thm)],[c_0_226,c_0_229]) ).
cnf(c_0_254,negated_conjecture,
( epred44_0
| epred43_0
| epred33_0
| ~ epred30_0 ),
inference(spm,[status(thm)],[c_0_226,c_0_230]) ).
cnf(c_0_255,negated_conjecture,
( epred43_0
| epred33_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_256,negated_conjecture,
( epred33_0
| epred30_0
| hskp11
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_257,negated_conjecture,
( epred2_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_235]) ).
cnf(c_0_258,negated_conjecture,
( c3_1(a563)
| ~ hskp31 ),
clause50 ).
cnf(c_0_259,negated_conjecture,
( epred30_0
| hskp11
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_236]),c_0_237]),c_0_238]) ).
cnf(c_0_260,negated_conjecture,
( epred4_0
| hskp3
| hskp24 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_261,negated_conjecture,
( epred45_0
| hskp3
| hskp6
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
fof(c_0_262,plain,
( ~ epred8_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_263,negated_conjecture,
( epred6_0
| ~ c3_1(a549)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_219]),c_0_244]) ).
cnf(c_0_264,negated_conjecture,
( epred6_0
| epred1_0
| c2_1(X1)
| c3_1(X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_265,negated_conjecture,
( ~ c2_1(a549)
| ~ hskp9 ),
clause127 ).
cnf(c_0_266,negated_conjecture,
( hskp24
| hskp9
| hskp2 ),
clause46 ).
cnf(c_0_267,negated_conjecture,
( ~ c3_1(a538)
| ~ hskp2 ),
clause140 ).
cnf(c_0_268,negated_conjecture,
( ~ c2_1(a538)
| ~ hskp2 ),
clause139 ).
fof(c_0_269,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp2
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_270,negated_conjecture,
( c1_1(a541)
| ~ hskp28 ),
clause58 ).
cnf(c_0_271,negated_conjecture,
( c0_1(a541)
| ~ hskp28 ),
clause57 ).
cnf(c_0_272,negated_conjecture,
( c2_1(a541)
| ~ hskp28 ),
clause59 ).
cnf(c_0_273,negated_conjecture,
( epred24_0
| ~ c2_1(a546)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_220]),c_0_221]) ).
cnf(c_0_274,negated_conjecture,
( epred3_0
| c2_1(a546)
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_247]),c_0_223]) ).
cnf(c_0_275,negated_conjecture,
( epred43_0
| epred30_0
| hskp11
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_276,negated_conjecture,
( hskp31
| hskp10
| hskp16 ),
clause35 ).
cnf(c_0_277,negated_conjecture,
( epred45_0
| epred43_0
| ~ epred30_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_278,negated_conjecture,
( epred43_0
| epred33_0
| ~ epred45_0
| ~ epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]) ).
cnf(c_0_279,negated_conjecture,
( epred43_0
| epred33_0
| epred30_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_280,negated_conjecture,
( epred2_0
| ~ c2_1(a563)
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_164]) ).
cnf(c_0_281,negated_conjecture,
( epred30_0
| hskp11
| hskp22
| hskp31 ),
inference(spm,[status(thm)],[c_0_259,c_0_129]) ).
cnf(c_0_282,negated_conjecture,
( epred4_0
| hskp3
| hskp6 ),
inference(spm,[status(thm)],[c_0_176,c_0_260]) ).
cnf(c_0_283,negated_conjecture,
( epred45_0
| ~ c2_1(a546)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_179]),c_0_221]) ).
cnf(c_0_284,negated_conjecture,
( epred45_0
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_240]),c_0_176]) ).
cnf(c_0_285,negated_conjecture,
( c3_1(a582)
| ~ hskp21 ),
clause68 ).
cnf(c_0_286,negated_conjecture,
( c2_1(a582)
| ~ hskp21 ),
clause67 ).
cnf(c_0_287,negated_conjecture,
( ~ c3_1(a587)
| ~ hskp23 ),
clause104 ).
cnf(c_0_288,negated_conjecture,
( epred8_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_262]) ).
cnf(c_0_289,negated_conjecture,
( ~ c0_1(a587)
| ~ hskp23 ),
clause102 ).
cnf(c_0_290,negated_conjecture,
( ~ c2_1(a587)
| ~ hskp23 ),
clause103 ).
cnf(c_0_291,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause186 ).
cnf(c_0_292,negated_conjecture,
( epred6_0
| epred1_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
cnf(c_0_293,negated_conjecture,
( hskp2
| hskp3
| hskp6
| hskp9 ),
inference(spm,[status(thm)],[c_0_176,c_0_266]) ).
cnf(c_0_294,negated_conjecture,
( epred6_0
| epred1_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_264]),c_0_268]) ).
fof(c_0_295,plain,
( ~ epred14_0
<=> ! [X1] :
( hskp22
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_296,negated_conjecture,
( epred21_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_269]),c_0_136])]) ).
cnf(c_0_297,negated_conjecture,
( c1_1(a567)
| ~ hskp15 ),
clause74 ).
cnf(c_0_298,negated_conjecture,
( ~ c2_1(a567)
| ~ hskp15 ),
clause119 ).
cnf(c_0_299,negated_conjecture,
( epred22_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_270]),c_0_271]),c_0_272]) ).
cnf(c_0_300,negated_conjecture,
( hskp28
| hskp15
| hskp23 ),
clause33 ).
cnf(c_0_301,negated_conjecture,
( epred24_0
| epred3_0
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_223]) ).
cnf(c_0_302,negated_conjecture,
( epred43_0
| epred30_0
| hskp10
| hskp11
| hskp31 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_303,negated_conjecture,
( epred43_0
| epred33_0
| ~ epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_253]),c_0_278]) ).
cnf(c_0_304,negated_conjecture,
( epred43_0
| epred33_0
| epred30_0
| epred4_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_279,c_0_260]) ).
cnf(c_0_305,negated_conjecture,
( epred44_0
| epred33_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_220]),c_0_221]) ).
cnf(c_0_306,negated_conjecture,
( epred3_0
| epred1_0
| hskp6 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_307,negated_conjecture,
( c3_1(a584)
| ~ hskp22 ),
clause66 ).
cnf(c_0_308,negated_conjecture,
( ~ c0_1(a584)
| ~ hskp22 ),
clause105 ).
cnf(c_0_309,negated_conjecture,
( epred43_0
| epred2_0
| ~ hskp31 ),
inference(spm,[status(thm)],[c_0_280,c_0_184]) ).
cnf(c_0_310,negated_conjecture,
( epred43_0
| epred33_0
| epred30_0
| hskp22
| hskp31 ),
inference(spm,[status(thm)],[c_0_255,c_0_281]) ).
cnf(c_0_311,negated_conjecture,
( epred4_0
| epred1_0
| hskp6 ),
inference(spm,[status(thm)],[c_0_222,c_0_282]) ).
cnf(c_0_312,negated_conjecture,
( epred45_0
| epred3_0
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_274]),c_0_284]) ).
fof(c_0_313,plain,
( ~ epred50_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_314,plain,
( ~ epred36_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_315,negated_conjecture,
( epred2_0
| ~ c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_285]),c_0_286]) ).
cnf(c_0_316,negated_conjecture,
( epred44_0
| epred33_0
| c0_1(a582)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_191,c_0_285]) ).
cnf(c_0_317,negated_conjecture,
( epred8_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]),c_0_290]) ).
cnf(c_0_318,negated_conjecture,
( hskp21
| hskp22
| hskp23 ),
clause47 ).
cnf(c_0_319,negated_conjecture,
( ~ c1_1(a582)
| ~ hskp21 ),
clause107 ).
cnf(c_0_320,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_173]),c_0_235]) ).
cnf(c_0_321,negated_conjecture,
( epred6_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_245]),c_0_222]),c_0_294]) ).
fof(c_0_322,plain,
( ~ epred37_0
<=> ! [X2] :
( hskp23
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_323,plain,
( ~ epred34_0
<=> ! [X1] :
( hskp3
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_324,negated_conjecture,
( epred14_0
| c2_1(X1)
| c3_1(X1)
| hskp22
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_295]),c_0_136])]) ).
cnf(c_0_325,negated_conjecture,
( ~ c3_1(a544)
| ~ hskp5 ),
clause133 ).
fof(c_0_326,plain,
( ~ epred32_0
<=> ! [X1] :
( hskp6
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_327,negated_conjecture,
( epred21_0
| hskp2
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_296]),c_0_244]),c_0_265]) ).
cnf(c_0_328,negated_conjecture,
( hskp3
| hskp6
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_175]),c_0_268]) ).
cnf(c_0_329,negated_conjecture,
( hskp3
| hskp6
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_297]),c_0_298]) ).
cnf(c_0_330,negated_conjecture,
( epred22_0
| hskp15
| hskp23 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_331,negated_conjecture,
( hskp3
| hskp6
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_175]),c_0_290]) ).
cnf(c_0_332,negated_conjecture,
( epred24_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_301]) ).
cnf(c_0_333,negated_conjecture,
( epred43_0
| epred33_0
| hskp31 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_302]),c_0_189]),c_0_303]) ).
cnf(c_0_334,negated_conjecture,
( epred43_0
| epred33_0
| epred4_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_304]),c_0_303]) ).
cnf(c_0_335,negated_conjecture,
( epred44_0
| epred33_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_336,negated_conjecture,
( epred44_0
| epred33_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_307]),c_0_308]) ).
cnf(c_0_337,negated_conjecture,
( epred43_0
| epred33_0
| epred2_0
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_303]) ).
cnf(c_0_338,negated_conjecture,
( epred44_0
| epred33_0
| epred4_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_311]) ).
cnf(c_0_339,negated_conjecture,
( epred45_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_312]) ).
cnf(c_0_340,negated_conjecture,
( ~ c3_1(a536)
| ~ hskp0 ),
clause143 ).
cnf(c_0_341,negated_conjecture,
( epred50_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_313]) ).
cnf(c_0_342,negated_conjecture,
( c0_1(a536)
| ~ hskp0 ),
clause94 ).
cnf(c_0_343,negated_conjecture,
( c2_1(a536)
| ~ hskp0 ),
clause95 ).
cnf(c_0_344,negated_conjecture,
( epred36_0
| c3_1(X1)
| c0_1(X1)
| hskp0
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_314]),c_0_136])]) ).
cnf(c_0_345,negated_conjecture,
( c2_1(a547)
| ~ hskp7 ),
clause87 ).
cnf(c_0_346,negated_conjecture,
( ~ c0_1(a547)
| ~ hskp7 ),
clause129 ).
cnf(c_0_347,negated_conjecture,
( ~ c3_1(a547)
| ~ hskp7 ),
clause130 ).
fof(c_0_348,plain,
( ~ epred12_0
<=> ! [X2] :
( hskp1
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_349,plain,
( ~ epred42_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_350,plain,
( ~ epred5_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_351,negated_conjecture,
( epred44_0
| epred33_0
| epred2_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_352,negated_conjecture,
( epred8_0
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_353,negated_conjecture,
( epred6_0
| c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_219]),c_0_285]) ).
cnf(c_0_354,negated_conjecture,
( epred6_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_355,negated_conjecture,
( epred37_0
| c1_1(X1)
| hskp23
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_136])]) ).
cnf(c_0_356,negated_conjecture,
( c2_1(a537)
| ~ hskp1 ),
clause93 ).
cnf(c_0_357,negated_conjecture,
( ~ c1_1(a537)
| ~ hskp1 ),
clause141 ).
cnf(c_0_358,negated_conjecture,
( epred34_0
| c2_1(X1)
| hskp3
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_323]),c_0_136])]) ).
cnf(c_0_359,negated_conjecture,
( epred14_0
| c2_1(a544)
| hskp22
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_140]),c_0_325]) ).
cnf(c_0_360,negated_conjecture,
( epred32_0
| c2_1(X1)
| hskp6
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_136])]) ).
fof(c_0_361,plain,
( ~ epred29_0
<=> ! [X2] :
( hskp13
| c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_362,plain,
( ~ epred41_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_363,plain,
( ~ epred10_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_364,plain,
( ~ epred46_0
<=> ! [X1] :
( c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_365,negated_conjecture,
( epred21_0
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_293]),c_0_328]) ).
cnf(c_0_366,negated_conjecture,
( epred22_0
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_331]) ).
cnf(c_0_367,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp3
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause176 ).
cnf(c_0_368,negated_conjecture,
( epred24_0
| epred3_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_332]) ).
cnf(c_0_369,negated_conjecture,
( epred43_0
| epred33_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_333]) ).
cnf(c_0_370,negated_conjecture,
( epred43_0
| epred33_0
| epred4_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_334]) ).
cnf(c_0_371,negated_conjecture,
( epred44_0
| epred33_0
| epred3_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_335]) ).
cnf(c_0_372,negated_conjecture,
( epred44_0
| epred43_0
| epred33_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_373,negated_conjecture,
( epred44_0
| epred33_0
| epred4_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_338]) ).
cnf(c_0_374,negated_conjecture,
( epred45_0
| epred3_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_339]) ).
cnf(c_0_375,negated_conjecture,
( ~ c3_1(a604)
| ~ hskp26 ),
clause97 ).
cnf(c_0_376,negated_conjecture,
( c2_1(a604)
| ~ hskp26 ),
clause63 ).
cnf(c_0_377,negated_conjecture,
( epred50_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_342]),c_0_343]) ).
cnf(c_0_378,negated_conjecture,
( epred36_0
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]),c_0_347]) ).
cnf(c_0_379,negated_conjecture,
( epred50_0
| epred2_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_257,c_0_341]) ).
fof(c_0_380,plain,
( ~ epred25_0
<=> ! [X2] :
( hskp24
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( epred12_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_348]),c_0_136])]) ).
cnf(c_0_382,negated_conjecture,
( epred42_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_349]) ).
cnf(c_0_383,negated_conjecture,
( ~ c3_1(a537)
| ~ hskp1 ),
clause142 ).
cnf(c_0_384,negated_conjecture,
( epred5_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_350]),c_0_136])]) ).
fof(c_0_385,plain,
( ~ epred13_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_386,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_387,negated_conjecture,
( c2_1(a563)
| hskp3
| hskp6
| ~ hskp31 ),
inference(spm,[status(thm)],[c_0_144,c_0_163]) ).
cnf(c_0_388,negated_conjecture,
( epred44_0
| epred33_0
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_336]) ).
cnf(c_0_389,negated_conjecture,
( epred6_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_353]),c_0_354]) ).
cnf(c_0_390,negated_conjecture,
( hskp3
| hskp6
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_331,c_0_318]) ).
cnf(c_0_391,negated_conjecture,
( epred44_0
| c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_172]),c_0_285]) ).
cnf(c_0_392,negated_conjecture,
( epred37_0
| hskp23
| ~ c0_1(a537)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).
cnf(c_0_393,negated_conjecture,
( epred45_0
| c0_1(a537)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_179]),c_0_356]) ).
cnf(c_0_394,negated_conjecture,
( epred24_0
| ~ c2_1(a551)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_168]),c_0_169]) ).
cnf(c_0_395,negated_conjecture,
( epred34_0
| c2_1(a551)
| hskp3
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_167]),c_0_168]) ).
cnf(c_0_396,negated_conjecture,
( epred22_0
| epred14_0
| hskp22
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_152,c_0_359]) ).
cnf(c_0_397,negated_conjecture,
( epred32_0
| c2_1(a544)
| hskp6
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_140]),c_0_141]) ).
cnf(c_0_398,negated_conjecture,
( epred29_0
| c3_1(X1)
| c1_1(X1)
| hskp13
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_361]),c_0_136])]) ).
cnf(c_0_399,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp13
| hskp20
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause154 ).
cnf(c_0_400,negated_conjecture,
( epred41_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_362]) ).
cnf(c_0_401,negated_conjecture,
( ~ c1_1(a564)
| ~ hskp12 ),
clause122 ).
cnf(c_0_402,negated_conjecture,
( epred10_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_363]) ).
cnf(c_0_403,negated_conjecture,
( c0_1(a564)
| ~ hskp12 ),
clause79 ).
cnf(c_0_404,negated_conjecture,
( epred46_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_364]),c_0_136])]) ).
cnf(c_0_405,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp29
| hskp21
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause155 ).
cnf(c_0_406,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp29
| hskp11
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause150 ).
cnf(c_0_407,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| hskp22
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause156 ).
cnf(c_0_408,negated_conjecture,
( c3_1(X1)
| hskp25
| hskp9
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause168 ).
cnf(c_0_409,negated_conjecture,
( c3_1(X1)
| hskp14
| hskp21
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause167 ).
cnf(c_0_410,negated_conjecture,
( c3_1(X1)
| hskp12
| hskp21
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause164 ).
cnf(c_0_411,negated_conjecture,
( hskp10
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause173 ).
fof(c_0_412,plain,
( ~ epred51_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_413,plain,
( ~ epred39_0
<=> ! [X1] :
( hskp14
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_414,plain,
( ~ epred38_0
<=> ! [X2] :
( hskp12
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_415,negated_conjecture,
( epred44_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_172]),c_0_220]),c_0_221]) ).
cnf(c_0_416,negated_conjecture,
( epred21_0
| epred1_0
| hskp6 ),
inference(spm,[status(thm)],[c_0_222,c_0_365]) ).
cnf(c_0_417,negated_conjecture,
( epred22_0
| epred1_0
| hskp6 ),
inference(spm,[status(thm)],[c_0_222,c_0_366]) ).
cnf(c_0_418,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_367,c_0_155]),c_0_193]) ).
cnf(c_0_419,negated_conjecture,
( epred43_0
| epred33_0
| epred24_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_420,negated_conjecture,
( epred43_0
| epred33_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_370,c_0_369]) ).
cnf(c_0_421,negated_conjecture,
( epred44_0
| epred43_0
| epred33_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_422,negated_conjecture,
( epred44_0
| epred43_0
| epred33_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_372]) ).
cnf(c_0_423,negated_conjecture,
( epred45_0
| epred43_0
| epred33_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_369]) ).
cnf(c_0_424,negated_conjecture,
( epred50_0
| ~ c0_1(a604)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_341]),c_0_376]) ).
cnf(c_0_425,negated_conjecture,
( epred36_0
| c0_1(a604)
| hskp0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_376]),c_0_375]) ).
cnf(c_0_426,negated_conjecture,
( epred50_0
| epred36_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_427,negated_conjecture,
( hskp26
| hskp7
| hskp22 ),
clause44 ).
cnf(c_0_428,negated_conjecture,
( c0_1(a567)
| ~ hskp15 ),
clause73 ).
cnf(c_0_429,negated_conjecture,
( epred50_0
| epred2_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_272]),c_0_271]) ).
fof(c_0_430,plain,
( ~ epred40_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_431,plain,
( ~ epred28_0
<=> ! [X2] :
( hskp14
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_432,negated_conjecture,
( epred25_0
| c2_1(X1)
| c3_1(X1)
| hskp24
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_136])]) ).
cnf(c_0_433,negated_conjecture,
( epred23_0
| hskp31
| ~ c0_1(a537)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_356]),c_0_357]) ).
cnf(c_0_434,negated_conjecture,
( epred12_0
| c2_1(a546)
| hskp1
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_381]),c_0_221]) ).
cnf(c_0_435,negated_conjecture,
( epred42_0
| ~ c0_1(a537)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_382]),c_0_383]) ).
cnf(c_0_436,negated_conjecture,
( epred4_0
| c0_1(a537)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_215]),c_0_383]) ).
fof(c_0_437,plain,
( ~ epred9_0
<=> ! [X2] :
( hskp6
| c0_1(X2)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_438,negated_conjecture,
( epred5_0
| c2_1(a546)
| hskp0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_384]),c_0_221]) ).
cnf(c_0_439,negated_conjecture,
( epred13_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_385]) ).
cnf(c_0_440,negated_conjecture,
( epred26_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_386]) ).
cnf(c_0_441,negated_conjecture,
( epred24_0
| c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_285]),c_0_286]) ).
cnf(c_0_442,negated_conjecture,
( c2_1(a551)
| hskp3
| hskp6
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_144,c_0_167]) ).
cnf(c_0_443,negated_conjecture,
( epred2_0
| hskp3
| hskp6
| ~ hskp31 ),
inference(spm,[status(thm)],[c_0_280,c_0_387]) ).
cnf(c_0_444,negated_conjecture,
( hskp3
| hskp6
| hskp10
| hskp31 ),
inference(spm,[status(thm)],[c_0_157,c_0_276]) ).
cnf(c_0_445,negated_conjecture,
( c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
clause204 ).
cnf(c_0_446,negated_conjecture,
( epred44_0
| epred33_0
| epred8_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_388]) ).
cnf(c_0_447,negated_conjecture,
( epred44_0
| epred33_0
| epred8_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_388]) ).
cnf(c_0_448,negated_conjecture,
( ~ c2_1(a584)
| ~ hskp22 ),
clause106 ).
cnf(c_0_449,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_219]),c_0_175]),c_0_245]) ).
cnf(c_0_450,negated_conjecture,
( epred6_0
| hskp3
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_245]) ).
cnf(c_0_451,negated_conjecture,
( epred44_0
| epred2_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_315,c_0_391]) ).
cnf(c_0_452,negated_conjecture,
( epred45_0
| epred37_0
| hskp23
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_453,negated_conjecture,
( epred12_0
| hskp1
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_381]),c_0_244]),c_0_265]) ).
cnf(c_0_454,negated_conjecture,
( epred34_0
| epred24_0
| hskp3
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_455,negated_conjecture,
( epred22_0
| epred14_0
| hskp10
| hskp14
| hskp22 ),
inference(spm,[status(thm)],[c_0_396,c_0_171]) ).
cnf(c_0_456,negated_conjecture,
( epred42_0
| epred32_0
| c2_1(X1)
| c3_1(X1)
| hskp6
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_360,c_0_382]) ).
cnf(c_0_457,negated_conjecture,
( epred32_0
| epred22_0
| hskp6
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_152,c_0_397]) ).
cnf(c_0_458,negated_conjecture,
( epred29_0
| c1_1(a539)
| hskp13
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_197]),c_0_195]) ).
cnf(c_0_459,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp13
| hskp20
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_136])]) ).
cnf(c_0_460,negated_conjecture,
( epred41_0
| epred6_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_219]) ).
cnf(c_0_461,negated_conjecture,
( epred33_0
| epred5_0
| c2_1(X1)
| c0_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_384]) ).
cnf(c_0_462,negated_conjecture,
( epred10_0
| ~ c2_1(a564)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_403]) ).
cnf(c_0_463,negated_conjecture,
( epred46_0
| epred1_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_404,c_0_196]) ).
cnf(c_0_464,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp21
| hskp29
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_136])]) ).
cnf(c_0_465,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp11
| hskp29
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_136])]) ).
cnf(c_0_466,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| hskp22
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_136])]) ).
cnf(c_0_467,negated_conjecture,
( c3_1(X1)
| hskp9
| hskp25
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_408,c_0_136])]) ).
cnf(c_0_468,negated_conjecture,
( c3_1(X1)
| hskp14
| hskp21
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_136])]) ).
cnf(c_0_469,negated_conjecture,
( c3_1(X1)
| hskp12
| hskp21
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_136])]) ).
cnf(c_0_470,negated_conjecture,
( hskp10
| hskp14
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_411,c_0_136])]) ).
cnf(c_0_471,negated_conjecture,
( epred51_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_412]),c_0_136])]) ).
cnf(c_0_472,negated_conjecture,
( c3_1(a565)
| ~ hskp13 ),
clause78 ).
cnf(c_0_473,negated_conjecture,
( epred39_0
| hskp14
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_413]),c_0_136])]) ).
cnf(c_0_474,negated_conjecture,
( epred38_0
| c0_1(X1)
| hskp12
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_414]),c_0_136])]) ).
cnf(c_0_475,negated_conjecture,
( epred23_0
| hskp31
| ~ c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_286]),c_0_319]) ).
cnf(c_0_476,negated_conjecture,
( epred44_0
| epred21_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_477,negated_conjecture,
( epred44_0
| epred22_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_415,c_0_417]) ).
cnf(c_0_478,negated_conjecture,
( epred34_0
| hskp3
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_209]),c_0_211]),c_0_210]) ).
cnf(c_0_479,negated_conjecture,
( epred43_0
| epred33_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_420]) ).
cnf(c_0_480,negated_conjecture,
( epred44_0
| epred43_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_421]),c_0_422]) ).
cnf(c_0_481,negated_conjecture,
( epred45_0
| epred43_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_423]),c_0_420]) ).
cnf(c_0_482,negated_conjecture,
( epred50_0
| epred36_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_377]) ).
cnf(c_0_483,negated_conjecture,
( epred50_0
| epred36_0
| hskp22
| hskp26 ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_484,negated_conjecture,
( epred32_0
| hskp6
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_297]),c_0_428]),c_0_298]) ).
cnf(c_0_485,negated_conjecture,
( epred50_0
| epred2_0
| hskp15
| hskp23 ),
inference(spm,[status(thm)],[c_0_429,c_0_300]) ).
cnf(c_0_486,negated_conjecture,
( epred32_0
| hskp6
| ~ c0_1(a553)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_209]),c_0_210]) ).
cnf(c_0_487,negated_conjecture,
( epred41_0
| c0_1(a553)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_209]),c_0_210]) ).
cnf(c_0_488,negated_conjecture,
( epred50_0
| ~ c2_1(a544)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_341]),c_0_141]) ).
cnf(c_0_489,negated_conjecture,
( epred40_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_430]),c_0_136])]) ).
cnf(c_0_490,negated_conjecture,
( epred28_0
| c2_1(X1)
| c3_1(X1)
| hskp14
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_431]),c_0_136])]) ).
cnf(c_0_491,negated_conjecture,
( epred25_0
| hskp24
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_145]),c_0_224]),c_0_146]) ).
cnf(c_0_492,negated_conjecture,
( epred45_0
| c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_179]),c_0_286]) ).
cnf(c_0_493,negated_conjecture,
( epred45_0
| epred23_0
| hskp31
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_433,c_0_393]) ).
cnf(c_0_494,negated_conjecture,
( epred45_0
| epred12_0
| hskp1
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_283,c_0_434]) ).
cnf(c_0_495,negated_conjecture,
( epred42_0
| epred4_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_496,negated_conjecture,
( epred24_0
| epred12_0
| hskp1
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_273,c_0_434]) ).
cnf(c_0_497,negated_conjecture,
( epred9_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_437]),c_0_136])]) ).
cnf(c_0_498,negated_conjecture,
( epred45_0
| epred5_0
| hskp0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_283,c_0_438]) ).
cnf(c_0_499,negated_conjecture,
( epred13_0
| ~ c0_1(a582)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_439]),c_0_285]) ).
cnf(c_0_500,negated_conjecture,
( epred41_0
| c2_1(a551)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_167]),c_0_169]) ).
cnf(c_0_501,negated_conjecture,
( epred26_0
| ~ c0_1(a553)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_209]),c_0_211]) ).
cnf(c_0_502,negated_conjecture,
( epred24_0
| epred2_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_315,c_0_441]) ).
cnf(c_0_503,negated_conjecture,
( epred24_0
| hskp3
| hskp6
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_394,c_0_442]) ).
cnf(c_0_504,negated_conjecture,
( epred2_0
| hskp3
| hskp6
| hskp10 ),
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
cnf(c_0_505,negated_conjecture,
( c3_1(a564)
| ~ hskp12 ),
clause80 ).
cnf(c_0_506,negated_conjecture,
( epred10_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_402]),c_0_149]),c_0_148]) ).
cnf(c_0_507,negated_conjecture,
( ~ epred43_0
| ~ epred26_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_445,c_0_135]),c_0_262]),c_0_386]) ).
cnf(c_0_508,negated_conjecture,
( epred44_0
| epred33_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_446]),c_0_447]) ).
cnf(c_0_509,negated_conjecture,
( epred6_0
| c0_1(a584)
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_450]) ).
cnf(c_0_510,negated_conjecture,
( c3_1(a552)
| ~ hskp29 ),
clause56 ).
cnf(c_0_511,negated_conjecture,
( c0_1(a552)
| ~ hskp29 ),
clause54 ).
cnf(c_0_512,negated_conjecture,
( c2_1(a552)
| ~ hskp29 ),
clause55 ).
cnf(c_0_513,negated_conjecture,
( hskp20
| hskp14
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause174 ).
cnf(c_0_514,negated_conjecture,
( c0_1(a565)
| ~ hskp13 ),
clause77 ).
cnf(c_0_515,negated_conjecture,
( epred33_0
| epred6_0
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_219]) ).
cnf(c_0_516,negated_conjecture,
( c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause208 ).
cnf(c_0_517,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
clause207 ).
cnf(c_0_518,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause202 ).
cnf(c_0_519,negated_conjecture,
( hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause200 ).
cnf(c_0_520,negated_conjecture,
( c0_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause198 ).
cnf(c_0_521,negated_conjecture,
( c1_1(X2)
| hskp23
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause199 ).
cnf(c_0_522,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause189 ).
cnf(c_0_523,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause195 ).
cnf(c_0_524,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp6
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause190 ).
cnf(c_0_525,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause192 ).
cnf(c_0_526,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause197 ).
cnf(c_0_527,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp24
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause196 ).
cnf(c_0_528,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp2
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause181 ).
cnf(c_0_529,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp22
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause185 ).
cnf(c_0_530,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause177 ).
cnf(c_0_531,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause179 ).
cnf(c_0_532,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause175 ).
cnf(c_0_533,negated_conjecture,
( epred44_0
| epred2_0
| hskp3
| hskp6
| hskp22 ),
inference(spm,[status(thm)],[c_0_451,c_0_390]) ).
cnf(c_0_534,negated_conjecture,
( epred45_0
| epred37_0
| hskp23
| epred12_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_535,negated_conjecture,
( epred34_0
| epred24_0
| hskp3
| epred22_0
| epred14_0
| hskp14
| hskp22 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_536,negated_conjecture,
( epred42_0
| epred32_0
| c2_1(a539)
| c3_1(a539)
| hskp6
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_456,c_0_197]) ).
cnf(c_0_537,negated_conjecture,
( epred32_0
| epred22_0
| hskp6
| epred23_0
| hskp25
| hskp31 ),
inference(spm,[status(thm)],[c_0_457,c_0_182]) ).
cnf(c_0_538,negated_conjecture,
( epred32_0
| c2_1(a539)
| hskp6
| epred29_0
| hskp13
| ~ c0_1(a539)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_360,c_0_458]) ).
cnf(c_0_539,negated_conjecture,
( c3_1(a537)
| c1_1(a537)
| hskp13
| hskp20
| epred45_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_459,c_0_393]) ).
cnf(c_0_540,negated_conjecture,
( epred41_0
| epred6_0
| c2_1(a584)
| c0_1(a584)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_460,c_0_307]) ).
cnf(c_0_541,negated_conjecture,
( epred33_0
| epred5_0
| c2_1(a584)
| c0_1(a584)
| hskp0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_461,c_0_307]) ).
cnf(c_0_542,negated_conjecture,
( epred33_0
| epred8_0
| c2_1(a590)
| c0_1(a590)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_233,c_0_288]) ).
cnf(c_0_543,negated_conjecture,
( epred10_0
| epred46_0
| epred1_0
| ~ hskp12
| ~ c0_1(a564) ),
inference(spm,[status(thm)],[c_0_462,c_0_463]) ).
cnf(c_0_544,negated_conjecture,
( c3_1(a594)
| c1_1(a594)
| hskp21
| hskp29
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_464,c_0_180]) ).
cnf(c_0_545,negated_conjecture,
( c3_1(a537)
| c1_1(a537)
| hskp21
| hskp29
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_464,c_0_356]) ).
cnf(c_0_546,negated_conjecture,
( c2_1(a584)
| c0_1(a584)
| hskp11
| hskp29
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_465,c_0_307]) ).
cnf(c_0_547,negated_conjecture,
( c2_1(a539)
| c3_1(a539)
| hskp21
| hskp22
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_466,c_0_197]) ).
cnf(c_0_548,negated_conjecture,
( c3_1(a536)
| hskp9
| hskp25
| ~ c0_1(a536)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_467,c_0_343]) ).
cnf(c_0_549,negated_conjecture,
( c3_1(a536)
| hskp14
| hskp21
| ~ c0_1(a536)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_468,c_0_343]) ).
cnf(c_0_550,negated_conjecture,
( c3_1(a536)
| hskp12
| hskp21
| ~ c0_1(a536)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_469,c_0_343]) ).
cnf(c_0_551,negated_conjecture,
( hskp10
| hskp14
| ~ c2_1(a582)
| ~ c0_1(a582)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_470,c_0_285]) ).
cnf(c_0_552,negated_conjecture,
( epred51_0
| c3_1(a580)
| c0_1(a580)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_471,c_0_236]) ).
cnf(c_0_553,negated_conjecture,
( epred46_0
| c2_1(a565)
| ~ c0_1(a565)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_404,c_0_472]) ).
cnf(c_0_554,negated_conjecture,
( epred39_0
| hskp14
| ~ c2_1(a582)
| ~ c0_1(a582)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_473,c_0_285]) ).
cnf(c_0_555,negated_conjecture,
( epred38_0
| c0_1(a566)
| hskp12
| ~ c2_1(a566)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_474,c_0_186]) ).
cnf(c_0_556,negated_conjecture,
( epred44_0
| epred23_0
| hskp31
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_475,c_0_391]) ).
cnf(c_0_557,negated_conjecture,
( epred44_0
| ~ c3_1(a594)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_172]),c_0_181]) ).
cnf(c_0_558,negated_conjecture,
( epred44_0
| epred21_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_476]) ).
cnf(c_0_559,negated_conjecture,
( epred44_0
| epred22_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_477]) ).
cnf(c_0_560,negated_conjecture,
( epred34_0
| epred30_0
| hskp3
| hskp22
| hskp31 ),
inference(spm,[status(thm)],[c_0_478,c_0_281]) ).
cnf(c_0_561,negated_conjecture,
( epred43_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_479]),c_0_480]),c_0_481]) ).
cnf(c_0_562,negated_conjecture,
( epred50_0
| epred36_0
| hskp22 ),
inference(spm,[status(thm)],[c_0_482,c_0_483]) ).
cnf(c_0_563,negated_conjecture,
( epred50_0
| epred32_0
| epred2_0
| hskp6
| hskp23 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_564,negated_conjecture,
( epred32_0
| c2_1(a563)
| hskp6
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_163]),c_0_164]) ).
cnf(c_0_565,negated_conjecture,
( epred32_0
| epred22_0
| hskp6
| hskp23 ),
inference(spm,[status(thm)],[c_0_484,c_0_330]) ).
cnf(c_0_566,negated_conjecture,
( epred41_0
| epred32_0
| hskp6
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_567,negated_conjecture,
( epred50_0
| epred32_0
| hskp6
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_488,c_0_397]) ).
cnf(c_0_568,negated_conjecture,
( epred40_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_307]),c_0_308]),c_0_448]) ).
cnf(c_0_569,negated_conjecture,
( epred28_0
| hskp14
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_145]),c_0_224]),c_0_146]) ).
cnf(c_0_570,negated_conjecture,
( epred25_0
| hskp10
| hskp24
| hskp31 ),
inference(spm,[status(thm)],[c_0_491,c_0_276]) ).
cnf(c_0_571,negated_conjecture,
( epred45_0
| epred23_0
| hskp31
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_475,c_0_492]) ).
cnf(c_0_572,negated_conjecture,
( epred45_0
| epred23_0
| epred12_0
| hskp31
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_573,negated_conjecture,
( epred42_0
| epred24_0
| epred12_0
| epred4_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_574,negated_conjecture,
( epred9_0
| hskp6
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_497]),c_0_289]),c_0_290]) ).
cnf(c_0_575,negated_conjecture,
( epred50_0
| epred45_0
| epred5_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_377,c_0_498]) ).
cnf(c_0_576,negated_conjecture,
( epred45_0
| epred2_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_315,c_0_492]) ).
cnf(c_0_577,negated_conjecture,
( epred45_0
| epred13_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_499,c_0_492]) ).
cnf(c_0_578,negated_conjecture,
( epred45_0
| epred1_0
| hskp6 ),
inference(spm,[status(thm)],[c_0_222,c_0_284]) ).
cnf(c_0_579,negated_conjecture,
( epred41_0
| epred24_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_394,c_0_500]) ).
cnf(c_0_580,negated_conjecture,
( epred33_0
| epred26_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_501,c_0_232]) ).
cnf(c_0_581,negated_conjecture,
( epred24_0
| epred5_0
| hskp0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_273,c_0_438]) ).
cnf(c_0_582,negated_conjecture,
( epred26_0
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_163]),c_0_164]),c_0_258]) ).
cnf(c_0_583,negated_conjecture,
( epred24_0
| epred8_0
| epred2_0
| hskp22 ),
inference(spm,[status(thm)],[c_0_502,c_0_352]) ).
cnf(c_0_584,negated_conjecture,
( epred24_0
| epred2_0
| hskp3
| hskp6 ),
inference(spm,[status(thm)],[c_0_503,c_0_504]) ).
cnf(c_0_585,negated_conjecture,
( epred13_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_439]),c_0_403]),c_0_505]) ).
cnf(c_0_586,negated_conjecture,
( epred10_0
| hskp5
| hskp25 ),
inference(spm,[status(thm)],[c_0_506,c_0_162]) ).
cnf(c_0_587,negated_conjecture,
( epred44_0
| epred33_0
| ~ epred43_0
| ~ epred26_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_508]) ).
cnf(c_0_588,negated_conjecture,
( epred6_0
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_509]),c_0_450]) ).
cnf(c_0_589,negated_conjecture,
( epred2_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_510]),c_0_511]),c_0_512]) ).
cnf(c_0_590,negated_conjecture,
( epred1_0
| hskp6
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_246]),c_0_146]) ).
cnf(c_0_591,negated_conjecture,
( epred1_0
| hskp6
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_246]),c_0_290]) ).
cnf(c_0_592,negated_conjecture,
( hskp14
| hskp20
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_513,c_0_136])]) ).
cnf(c_0_593,negated_conjecture,
( epred46_0
| epred1_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_463]),c_0_514]) ).
cnf(c_0_594,negated_conjecture,
( epred33_0
| epred6_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_307]),c_0_308]) ).
cnf(c_0_595,negated_conjecture,
( ~ epred51_0
| ~ epred26_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_516,c_0_412]),c_0_235]),c_0_386]) ).
cnf(c_0_596,negated_conjecture,
( ~ epred50_0
| ~ epred46_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_517,c_0_364]),c_0_313]),c_0_385]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred42_0
| ~ epred41_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_518,c_0_430]),c_0_362]),c_0_349]) ).
cnf(c_0_598,negated_conjecture,
( ~ epred39_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_519,c_0_413]),c_0_386]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred38_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_520,c_0_414]),c_0_134]) ).
cnf(c_0_600,negated_conjecture,
( ~ epred37_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_521,c_0_322]),c_0_134]) ).
cnf(c_0_601,negated_conjecture,
( ~ epred36_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_522,c_0_314]),c_0_235]) ).
cnf(c_0_602,negated_conjecture,
( ~ epred34_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_523,c_0_323]),c_0_363]) ).
cnf(c_0_603,negated_conjecture,
( ~ epred33_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_524,c_0_326]),c_0_151]) ).
cnf(c_0_604,negated_conjecture,
( ~ epred29_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_525,c_0_361]),c_0_134]) ).
cnf(c_0_605,negated_conjecture,
( ~ epred28_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_526,c_0_431]),c_0_235]) ).
cnf(c_0_606,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_527,c_0_380]),c_0_386]) ).
cnf(c_0_607,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_528,c_0_269]),c_0_134]) ).
cnf(c_0_608,negated_conjecture,
( ~ epred14_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_529,c_0_295]),c_0_363]) ).
cnf(c_0_609,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_530,c_0_348]),c_0_385]) ).
cnf(c_0_610,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_531,c_0_437]),c_0_363]) ).
cnf(c_0_611,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_532,c_0_350]),c_0_194]) ).
cnf(c_0_612,negated_conjecture,
( hskp31
| hskp12
| hskp14 ),
clause34 ).
cnf(c_0_613,plain,
$false,
inference(cdclpropres,[status(thm)],[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_545,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_451,c_0_558,c_0_559,c_0_415,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_484,c_0_566,c_0_567,c_0_457,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_416,c_0_365,c_0_573,c_0_434,c_0_453,c_0_574,c_0_575,c_0_377,c_0_203,c_0_576,c_0_577,c_0_498,c_0_283,c_0_578,c_0_284,c_0_579,c_0_580,c_0_189,c_0_581,c_0_582,c_0_583,c_0_502,c_0_441,c_0_206,c_0_584,c_0_394,c_0_368,c_0_417,c_0_330,c_0_585,c_0_586,c_0_587,c_0_588,c_0_317,c_0_389,c_0_245,c_0_280,c_0_589,c_0_590,c_0_591,c_0_222,c_0_331,c_0_592,c_0_593,c_0_404,c_0_473,c_0_142,c_0_594,c_0_387,c_0_157,c_0_442,c_0_139,c_0_257,c_0_595,c_0_596,c_0_507,c_0_252,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_226,c_0_604,c_0_605,c_0_606,c_0_250,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_418,c_0_320,c_0_340,c_0_383,c_0_357,c_0_198,c_0_195,c_0_199,c_0_188,c_0_238,c_0_237,c_0_448,c_0_308,c_0_159,c_0_212,c_0_178,c_0_187,c_0_286,c_0_258,c_0_163,c_0_342,c_0_197,c_0_403,c_0_514,c_0_164,c_0_612,c_0_276,c_0_129]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN510-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 17:44:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.68 start to proof: theBenchmark
% 1.70/1.77 % Version : CSE_E---1.5
% 1.70/1.77 % Problem : theBenchmark.p
% 1.70/1.77 % Proof found
% 1.70/1.77 % SZS status Theorem for theBenchmark.p
% 1.70/1.77 % SZS output start Proof
% See solution above
% 1.70/1.80 % Total time : 1.074000 s
% 1.70/1.80 % SZS output end Proof
% 1.70/1.80 % Total time : 1.080000 s
%------------------------------------------------------------------------------