TSTP Solution File: SYN472-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN472-1 : 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 : n006.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 01:52:12 EDT 2023
% Result : Unsatisfiable 1.57s 1.62s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 321
% Syntax : Number of formulae : 833 ( 2 unt; 129 typ; 0 def)
% Number of atoms : 2819 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 3349 (1234 ~;2061 |; 0 &)
% ( 54 <=>; 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 : 99 ( 98 usr; 95 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 308 ( 0 sgn; 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp30: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
hskp29: $o ).
tff(decl_25,type,
hskp28: $o ).
tff(decl_26,type,
hskp27: $o ).
tff(decl_27,type,
hskp26: $o ).
tff(decl_28,type,
hskp25: $o ).
tff(decl_29,type,
hskp24: $o ).
tff(decl_30,type,
hskp23: $o ).
tff(decl_31,type,
hskp22: $o ).
tff(decl_32,type,
hskp21: $o ).
tff(decl_33,type,
hskp20: $o ).
tff(decl_34,type,
hskp19: $o ).
tff(decl_35,type,
hskp18: $o ).
tff(decl_36,type,
hskp17: $o ).
tff(decl_37,type,
hskp16: $o ).
tff(decl_38,type,
hskp15: $o ).
tff(decl_39,type,
hskp14: $o ).
tff(decl_40,type,
hskp13: $o ).
tff(decl_41,type,
hskp12: $o ).
tff(decl_42,type,
hskp11: $o ).
tff(decl_43,type,
hskp10: $o ).
tff(decl_44,type,
hskp9: $o ).
tff(decl_45,type,
hskp8: $o ).
tff(decl_46,type,
hskp7: $o ).
tff(decl_47,type,
hskp6: $o ).
tff(decl_48,type,
hskp5: $o ).
tff(decl_49,type,
hskp4: $o ).
tff(decl_50,type,
hskp3: $o ).
tff(decl_51,type,
hskp2: $o ).
tff(decl_52,type,
hskp1: $o ).
tff(decl_53,type,
hskp0: $o ).
tff(decl_54,type,
a733: $i ).
tff(decl_55,type,
c1_1: $i > $o ).
tff(decl_56,type,
c2_1: $i > $o ).
tff(decl_57,type,
c3_1: $i > $o ).
tff(decl_58,type,
a713: $i ).
tff(decl_59,type,
c0_1: $i > $o ).
tff(decl_60,type,
a695: $i ).
tff(decl_61,type,
a691: $i ).
tff(decl_62,type,
a777: $i ).
tff(decl_63,type,
a773: $i ).
tff(decl_64,type,
a764: $i ).
tff(decl_65,type,
a763: $i ).
tff(decl_66,type,
a761: $i ).
tff(decl_67,type,
a760: $i ).
tff(decl_68,type,
a754: $i ).
tff(decl_69,type,
a752: $i ).
tff(decl_70,type,
a751: $i ).
tff(decl_71,type,
a738: $i ).
tff(decl_72,type,
a734: $i ).
tff(decl_73,type,
a730: $i ).
tff(decl_74,type,
a726: $i ).
tff(decl_75,type,
a722: $i ).
tff(decl_76,type,
a717: $i ).
tff(decl_77,type,
a710: $i ).
tff(decl_78,type,
a708: $i ).
tff(decl_79,type,
a702: $i ).
tff(decl_80,type,
a701: $i ).
tff(decl_81,type,
a697: $i ).
tff(decl_82,type,
a696: $i ).
tff(decl_83,type,
a693: $i ).
tff(decl_84,type,
a692: $i ).
tff(decl_85,type,
a744: $i ).
tff(decl_86,type,
a725: $i ).
tff(decl_87,type,
a712: $i ).
tff(decl_88,type,
a698: $i ).
tff(decl_89,type,
epred1_0: $o ).
tff(decl_90,type,
epred2_0: $o ).
tff(decl_91,type,
epred3_0: $o ).
tff(decl_92,type,
epred4_0: $o ).
tff(decl_93,type,
epred5_0: $o ).
tff(decl_94,type,
epred6_0: $o ).
tff(decl_95,type,
epred7_0: $o ).
tff(decl_96,type,
epred8_0: $o ).
tff(decl_97,type,
epred9_0: $o ).
tff(decl_98,type,
epred10_0: $o ).
tff(decl_99,type,
epred11_0: $o ).
tff(decl_100,type,
epred12_0: $o ).
tff(decl_101,type,
epred13_0: $o ).
tff(decl_102,type,
epred14_0: $o ).
tff(decl_103,type,
epred15_0: $o ).
tff(decl_104,type,
epred16_0: $o ).
tff(decl_105,type,
epred17_0: $o ).
tff(decl_106,type,
epred18_0: $o ).
tff(decl_107,type,
epred19_0: $o ).
tff(decl_108,type,
epred20_0: $o ).
tff(decl_109,type,
epred21_0: $o ).
tff(decl_110,type,
epred22_0: $o ).
tff(decl_111,type,
epred23_0: $o ).
tff(decl_112,type,
epred24_0: $o ).
tff(decl_113,type,
epred25_0: $o ).
tff(decl_114,type,
epred26_0: $o ).
tff(decl_115,type,
epred27_0: $o ).
tff(decl_116,type,
epred28_0: $o ).
tff(decl_117,type,
epred29_0: $o ).
tff(decl_118,type,
epred30_0: $o ).
tff(decl_119,type,
epred31_0: $o ).
tff(decl_120,type,
epred32_0: $o ).
tff(decl_121,type,
epred33_0: $o ).
tff(decl_122,type,
epred34_0: $o ).
tff(decl_123,type,
epred35_0: $o ).
tff(decl_124,type,
epred36_0: $o ).
tff(decl_125,type,
epred37_0: $o ).
tff(decl_126,type,
epred38_0: $o ).
tff(decl_127,type,
epred39_0: $o ).
tff(decl_128,type,
epred40_0: $o ).
tff(decl_129,type,
epred41_0: $o ).
tff(decl_130,type,
epred42_0: $o ).
tff(decl_131,type,
epred43_0: $o ).
tff(decl_132,type,
epred44_0: $o ).
tff(decl_133,type,
epred45_0: $o ).
tff(decl_134,type,
epred46_0: $o ).
tff(decl_135,type,
epred47_0: $o ).
tff(decl_136,type,
epred48_0: $o ).
tff(decl_137,type,
epred49_0: $o ).
tff(decl_138,type,
epred50_0: $o ).
tff(decl_139,type,
epred51_0: $o ).
tff(decl_140,type,
epred52_0: $o ).
tff(decl_141,type,
epred53_0: $o ).
tff(decl_142,type,
epred54_0: $o ).
tff(decl_143,type,
epred55_0: $o ).
tff(decl_144,type,
epred56_0: $o ).
tff(decl_145,type,
epred57_0: $o ).
tff(decl_146,type,
epred58_0: $o ).
tff(decl_147,type,
epred59_0: $o ).
tff(decl_148,type,
epred60_0: $o ).
tff(decl_149,type,
epred61_0: $o ).
tff(decl_150,type,
epred62_0: $o ).
cnf(clause19,negated_conjecture,
( ndr1_0
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(clause32,negated_conjecture,
( hskp28
| hskp30
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause3,negated_conjecture,
( ndr1_0
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause115,negated_conjecture,
( ~ c1_1(a722)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause70,negated_conjecture,
( c3_1(a722)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause69,negated_conjecture,
( c0_1(a722)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause88,negated_conjecture,
( ~ c1_1(a777)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause52,negated_conjecture,
( c3_1(a777)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause132,negated_conjecture,
( ~ c1_1(a692)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause86,negated_conjecture,
( c2_1(a692)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause113,negated_conjecture,
( ~ c1_1(a725)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause114,negated_conjecture,
( ~ c3_1(a725)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause112,negated_conjecture,
( ~ c0_1(a725)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause56,negated_conjecture,
( c0_1(a763)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause93,negated_conjecture,
( ~ c2_1(a763)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause67,negated_conjecture,
( c1_1(a730)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause109,negated_conjecture,
( ~ c3_1(a730)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause66,negated_conjecture,
( c0_1(a730)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause68,negated_conjecture,
( c1_1(a726)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause111,negated_conjecture,
( ~ c3_1(a726)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause110,negated_conjecture,
( ~ c0_1(a726)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause77,negated_conjecture,
( c0_1(a702)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause78,negated_conjecture,
( c3_1(a702)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause122,negated_conjecture,
( ~ c2_1(a702)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause36,negated_conjecture,
( hskp11
| hskp23
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause49,negated_conjecture,
( c0_1(a691)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause51,negated_conjecture,
( c3_1(a691)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause92,negated_conjecture,
( ~ c1_1(a763)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause34,negated_conjecture,
( hskp14
| hskp7
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause75,negated_conjecture,
( c1_1(a708)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause76,negated_conjecture,
( c2_1(a708)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause121,negated_conjecture,
( ~ c3_1(a708)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause131,negated_conjecture,
( ~ c0_1(a692)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause189,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
cnf(clause39,negated_conjecture,
( hskp13
| hskp20
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause98,negated_conjecture,
( ~ c3_1(a754)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause60,negated_conjecture,
( c2_1(a754)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause157,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause87,negated_conjecture,
( ~ c0_1(a777)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause97,negated_conjecture,
( ~ c0_1(a754)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause43,negated_conjecture,
( c0_1(a713)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause44,negated_conjecture,
( c2_1(a713)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause45,negated_conjecture,
( c3_1(a713)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause71,negated_conjecture,
( c1_1(a717)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause116,negated_conjecture,
( ~ c2_1(a717)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause72,negated_conjecture,
( c3_1(a717)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause57,negated_conjecture,
( c1_1(a761)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause94,negated_conjecture,
( ~ c0_1(a761)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause191,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
cnf(clause133,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp0
| hskp1
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause152,negated_conjecture,
( c3_1(X1)
| hskp21
| hskp22
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause153,negated_conjecture,
( hskp23
| hskp24
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause162,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
cnf(clause58,negated_conjecture,
( c1_1(a760)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause59,negated_conjecture,
( c3_1(a760)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause96,negated_conjecture,
( ~ c0_1(a760)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause81,negated_conjecture,
( c0_1(a697)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause127,negated_conjecture,
( ~ c3_1(a697)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause73,negated_conjecture,
( c2_1(a710)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause120,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause55,negated_conjecture,
( c1_1(a764)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause91,negated_conjecture,
( ~ c3_1(a764)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause140,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp3
| hskp1
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause101,negated_conjecture,
( ~ c1_1(a751)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause62,negated_conjecture,
( c0_1(a751)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause103,negated_conjecture,
( ~ c1_1(a744)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause104,negated_conjecture,
( ~ c2_1(a744)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause138,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause135,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp2
| hskp7
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause149,negated_conjecture,
( c2_1(X1)
| hskp16
| hskp20
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
cnf(clause148,negated_conjecture,
( c2_1(X1)
| hskp18
| hskp19
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
cnf(clause146,negated_conjecture,
( c1_1(X1)
| hskp7
| hskp13
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
cnf(clause154,negated_conjecture,
( hskp27
| hskp18
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
cnf(clause90,negated_conjecture,
( ~ c2_1(a764)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause95,negated_conjecture,
( ~ c2_1(a761)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause172,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause156,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp27
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause123,negated_conjecture,
( ~ c1_1(a701)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause80,negated_conjecture,
( c2_1(a701)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause79,negated_conjecture,
( c0_1(a701)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause129,negated_conjecture,
( ~ c1_1(a693)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause130,negated_conjecture,
( ~ c3_1(a693)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause85,negated_conjecture,
( c2_1(a693)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause35,negated_conjecture,
( hskp29
| hskp7
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause83,negated_conjecture,
( c0_1(a696)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause128,negated_conjecture,
( ~ c2_1(a696)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause84,negated_conjecture,
( c1_1(a696)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause61,negated_conjecture,
( c0_1(a752)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause82,negated_conjecture,
( c2_1(a697)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause64,negated_conjecture,
( c3_1(a738)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause47,negated_conjecture,
( c1_1(a695)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause50,negated_conjecture,
( c1_1(a691)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause40,negated_conjecture,
( c1_1(a733)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause102,negated_conjecture,
( ~ c3_1(a751)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause41,negated_conjecture,
( c2_1(a733)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause42,negated_conjecture,
( c3_1(a733)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause48,negated_conjecture,
( c2_1(a695)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause46,negated_conjecture,
( c0_1(a695)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause106,negated_conjecture,
( ~ c1_1(a738)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause63,negated_conjecture,
( c2_1(a738)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause99,negated_conjecture,
( ~ c2_1(a752)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause100,negated_conjecture,
( ~ c3_1(a752)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause124,negated_conjecture,
( ~ c0_1(a698)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause125,negated_conjecture,
( ~ c2_1(a698)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ c3_1(a698)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause194,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause193,negated_conjecture,
( c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
cnf(clause195,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
cnf(clause196,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
cnf(clause192,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause190,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause184,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c2_1(X1)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause188,negated_conjecture,
( c3_1(X2)
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
cnf(clause186,negated_conjecture,
( c2_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause179,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause178,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause180,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
cnf(clause181,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| hskp16
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause183,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
cnf(clause177,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause182,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp30
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause169,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp2
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause171,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
cnf(clause174,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause176,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause170,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp29
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause161,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause160,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause166,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause164,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause165,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause167,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause168,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp28
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause159,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp28
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause105,negated_conjecture,
( ~ c3_1(a744)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause74,negated_conjecture,
( c3_1(a710)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause37,negated_conjecture,
( hskp23
| hskp18
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(c_0_138,negated_conjecture,
( ndr1_0
| ~ hskp12 ),
clause19 ).
cnf(c_0_139,negated_conjecture,
( hskp28
| hskp30
| hskp12 ),
clause32 ).
cnf(c_0_140,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
clause1 ).
cnf(c_0_141,negated_conjecture,
( ndr1_0
| ~ hskp28 ),
clause3 ).
fof(c_0_142,plain,
( ~ epred34_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_143,plain,
( ~ epred23_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_144,plain,
( ~ epred6_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_145,plain,
( ~ epred10_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_146,plain,
( ~ epred22_0
<=> ! [X2] :
( hskp0
| c2_1(X2)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_147,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]) ).
fof(c_0_148,plain,
( ~ epred29_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_149,negated_conjecture,
( ~ c1_1(a722)
| ~ hskp11 ),
clause115 ).
cnf(c_0_150,negated_conjecture,
( epred34_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_142]) ).
cnf(c_0_151,negated_conjecture,
( c3_1(a722)
| ~ hskp11 ),
clause70 ).
cnf(c_0_152,negated_conjecture,
( epred23_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_143]) ).
cnf(c_0_153,negated_conjecture,
( c0_1(a722)
| ~ hskp11 ),
clause69 ).
fof(c_0_154,plain,
( ~ epred57_0
<=> ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( ~ c1_1(a777)
| ~ hskp26 ),
clause88 ).
cnf(c_0_156,negated_conjecture,
( c3_1(a777)
| ~ hskp26 ),
clause52 ).
cnf(c_0_157,negated_conjecture,
( epred6_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_144]) ).
cnf(c_0_158,negated_conjecture,
( ~ c1_1(a692)
| ~ hskp0 ),
clause132 ).
cnf(c_0_159,negated_conjecture,
( c2_1(a692)
| ~ hskp0 ),
clause86 ).
cnf(c_0_160,negated_conjecture,
( epred10_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_145]) ).
cnf(c_0_161,negated_conjecture,
( ~ c1_1(a725)
| ~ hskp12 ),
clause113 ).
cnf(c_0_162,negated_conjecture,
( ~ c3_1(a725)
| ~ hskp12 ),
clause114 ).
cnf(c_0_163,negated_conjecture,
( ~ c0_1(a725)
| ~ hskp12 ),
clause112 ).
cnf(c_0_164,negated_conjecture,
( epred22_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_146]),c_0_147])]) ).
fof(c_0_165,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_166,negated_conjecture,
( c0_1(a763)
| ~ hskp23 ),
clause56 ).
cnf(c_0_167,negated_conjecture,
( ~ c2_1(a763)
| ~ hskp23 ),
clause93 ).
cnf(c_0_168,negated_conjecture,
( epred29_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_148]) ).
cnf(c_0_169,negated_conjecture,
( epred34_0
| ~ c2_1(a722)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_170,negated_conjecture,
( epred23_0
| c2_1(a722)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_151]) ).
fof(c_0_171,plain,
( ~ epred31_0
<=> ! [X2] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_172,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred2_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_175,negated_conjecture,
( epred57_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
cnf(c_0_176,negated_conjecture,
( c1_1(a730)
| ~ hskp14 ),
clause67 ).
cnf(c_0_177,negated_conjecture,
( ~ c3_1(a730)
| ~ hskp14 ),
clause109 ).
cnf(c_0_178,negated_conjecture,
( c0_1(a730)
| ~ hskp14 ),
clause66 ).
cnf(c_0_179,negated_conjecture,
( epred34_0
| ~ c2_1(a777)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_150]),c_0_156]) ).
cnf(c_0_180,negated_conjecture,
( epred6_0
| c2_1(a777)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_157]),c_0_156]) ).
cnf(c_0_181,negated_conjecture,
( c1_1(a726)
| ~ hskp13 ),
clause68 ).
cnf(c_0_182,negated_conjecture,
( ~ c3_1(a726)
| ~ hskp13 ),
clause111 ).
cnf(c_0_183,negated_conjecture,
( ~ c0_1(a726)
| ~ hskp13 ),
clause110 ).
cnf(c_0_184,negated_conjecture,
( epred34_0
| ~ c3_1(a692)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_150]),c_0_159]) ).
cnf(c_0_185,negated_conjecture,
( epred10_0
| c3_1(a692)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_160]),c_0_159]) ).
cnf(c_0_186,negated_conjecture,
( epred10_0
| ~ c2_1(a725)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_160]),c_0_162]) ).
cnf(c_0_187,negated_conjecture,
( epred22_0
| c2_1(a725)
| hskp0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_162]) ).
cnf(c_0_188,negated_conjecture,
( c0_1(a702)
| ~ hskp6 ),
clause77 ).
cnf(c_0_189,negated_conjecture,
( c3_1(a702)
| ~ hskp6 ),
clause78 ).
cnf(c_0_190,negated_conjecture,
( ~ c2_1(a702)
| ~ hskp6 ),
clause122 ).
cnf(c_0_191,negated_conjecture,
( epred3_0
| c0_1(X1)
| c3_1(X1)
| hskp6
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_147])]) ).
cnf(c_0_192,negated_conjecture,
( epred23_0
| ~ c3_1(a763)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_166]),c_0_167]) ).
cnf(c_0_193,negated_conjecture,
( epred29_0
| c3_1(a763)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_166]),c_0_167]) ).
cnf(c_0_194,negated_conjecture,
( epred34_0
| epred23_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_195,negated_conjecture,
( hskp11
| hskp23
| hskp13 ),
clause36 ).
cnf(c_0_196,negated_conjecture,
( epred31_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_171]) ).
cnf(c_0_197,negated_conjecture,
( epred4_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_198,negated_conjecture,
( epred37_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_173]) ).
cnf(c_0_199,negated_conjecture,
( c0_1(a691)
| ~ hskp27 ),
clause49 ).
cnf(c_0_200,negated_conjecture,
( c3_1(a691)
| ~ hskp27 ),
clause51 ).
fof(c_0_201,plain,
( ~ epred1_0
<=> ! [X2] :
( hskp27
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_202,negated_conjecture,
( ~ c1_1(a763)
| ~ hskp23 ),
clause92 ).
cnf(c_0_203,negated_conjecture,
( epred2_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_174]) ).
cnf(c_0_204,negated_conjecture,
( epred6_0
| c2_1(a722)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_157]),c_0_151]) ).
cnf(c_0_205,negated_conjecture,
( epred57_0
| ~ c2_1(a730)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_206,negated_conjecture,
( epred29_0
| c2_1(a730)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_178]),c_0_177]) ).
cnf(c_0_207,negated_conjecture,
( epred34_0
| epred6_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_208,negated_conjecture,
( hskp14
| hskp7
| hskp26 ),
clause34 ).
cnf(c_0_209,negated_conjecture,
( c1_1(a708)
| ~ hskp7 ),
clause75 ).
cnf(c_0_210,negated_conjecture,
( c2_1(a708)
| ~ hskp7 ),
clause76 ).
cnf(c_0_211,negated_conjecture,
( ~ c3_1(a708)
| ~ hskp7 ),
clause121 ).
cnf(c_0_212,negated_conjecture,
( epred57_0
| ~ c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_181]),c_0_182]) ).
cnf(c_0_213,negated_conjecture,
( epred22_0
| c2_1(a726)
| hskp0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_164]),c_0_182]) ).
cnf(c_0_214,negated_conjecture,
( epred34_0
| epred10_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_215,negated_conjecture,
( epred22_0
| epred10_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_216,negated_conjecture,
( epred23_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_217,negated_conjecture,
( epred3_0
| hskp6
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_181]),c_0_182]),c_0_183]) ).
cnf(c_0_218,negated_conjecture,
( epred29_0
| epred23_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_219,negated_conjecture,
( epred34_0
| epred23_0
| hskp13
| hskp23 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_220,negated_conjecture,
( ~ c0_1(a692)
| ~ hskp0 ),
clause131 ).
cnf(c_0_221,negated_conjecture,
( epred31_0
| ~ c2_1(a725)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_196]),c_0_162]) ).
cnf(c_0_222,negated_conjecture,
( epred4_0
| c2_1(a725)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_197]),c_0_162]) ).
fof(c_0_223,plain,
( ~ epred24_0
<=> ! [X1] :
( hskp29
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_224,plain,
( ~ epred15_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_225,plain,
( ~ epred8_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_226,negated_conjecture,
( epred37_0
| ~ c2_1(a691)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).
cnf(c_0_227,negated_conjecture,
( epred23_0
| c2_1(a691)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_199]),c_0_200]) ).
cnf(c_0_228,negated_conjecture,
( epred1_0
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp27 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_147])]) ).
fof(c_0_229,plain,
( ~ epred13_0
<=> ! [X1] :
( hskp13
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_230,plain,
( ~ epred58_0
<=> ! [X3] :
( c3_1(X3)
| c0_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_231,negated_conjecture,
( epred6_0
| ~ c3_1(a763)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_157]),c_0_167]) ).
cnf(c_0_232,negated_conjecture,
( epred2_0
| c3_1(a763)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_166]) ).
cnf(c_0_233,negated_conjecture,
( epred34_0
| epred6_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_169,c_0_204]) ).
fof(c_0_234,plain,
( ~ epred54_0
<=> ! [X3] :
( c2_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_235,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause189 ).
cnf(c_0_236,negated_conjecture,
( epred57_0
| epred29_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_237,negated_conjecture,
( epred34_0
| epred6_0
| hskp7
| hskp14 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_238,negated_conjecture,
( epred57_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_209]),c_0_210]),c_0_211]) ).
cnf(c_0_239,negated_conjecture,
( epred57_0
| epred22_0
| hskp0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_240,negated_conjecture,
( epred34_0
| epred22_0
| epred10_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_241,negated_conjecture,
( hskp13
| hskp20
| hskp12 ),
clause39 ).
cnf(c_0_242,negated_conjecture,
( ~ c3_1(a754)
| ~ hskp20 ),
clause98 ).
cnf(c_0_243,negated_conjecture,
( epred57_0
| epred10_0
| c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_160]) ).
cnf(c_0_244,negated_conjecture,
( c2_1(a754)
| ~ hskp20 ),
clause60 ).
cnf(c_0_245,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause157 ).
cnf(c_0_246,negated_conjecture,
( epred23_0
| epred3_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_247,negated_conjecture,
( epred34_0
| epred29_0
| epred23_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_248,negated_conjecture,
( epred31_0
| c3_1(a692)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_196]),c_0_159]) ).
cnf(c_0_249,negated_conjecture,
( epred31_0
| ~ c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_196]),c_0_182]) ).
cnf(c_0_250,negated_conjecture,
( epred4_0
| c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_197]),c_0_182]) ).
cnf(c_0_251,negated_conjecture,
( epred31_0
| epred4_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_252,negated_conjecture,
( epred24_0
| c0_1(X1)
| hskp29
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_223]),c_0_147])]) ).
cnf(c_0_253,negated_conjecture,
( epred15_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_224]) ).
cnf(c_0_254,negated_conjecture,
( epred8_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_225]) ).
fof(c_0_255,plain,
( ~ epred14_0
<=> ! [X2] :
( hskp6
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_256,negated_conjecture,
( epred37_0
| epred23_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_257,negated_conjecture,
( epred1_0
| hskp27
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_228]),c_0_162]),c_0_163]) ).
cnf(c_0_258,negated_conjecture,
( epred37_0
| ~ c2_1(a722)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_153]),c_0_151]) ).
cnf(c_0_259,negated_conjecture,
( epred13_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_229]),c_0_147])]) ).
fof(c_0_260,plain,
( ~ epred27_0
<=> ! [X1] :
( hskp12
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_261,plain,
( ~ epred16_0
<=> ! [X2] :
( hskp5
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_262,plain,
( ~ epred30_0
<=> ! [X1] :
( hskp10
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_263,plain,
( ~ epred52_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_264,negated_conjecture,
( epred58_0
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_230]) ).
cnf(c_0_265,negated_conjecture,
( epred6_0
| epred2_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_266,negated_conjecture,
( epred34_0
| epred6_0
| hskp13
| hskp23 ),
inference(spm,[status(thm)],[c_0_233,c_0_195]) ).
fof(c_0_267,plain,
( ~ epred61_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c0_1(X3)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_268,negated_conjecture,
( ~ c0_1(a777)
| ~ hskp26 ),
clause87 ).
cnf(c_0_269,negated_conjecture,
( epred54_0
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_147])]) ).
cnf(c_0_270,negated_conjecture,
( ~ epred54_0
| ~ epred10_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_235,c_0_234]),c_0_145]),c_0_144]) ).
cnf(c_0_271,negated_conjecture,
( epred57_0
| epred34_0
| epred29_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).
cnf(c_0_272,negated_conjecture,
( epred57_0
| epred34_0
| epred22_0
| epred10_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_214,c_0_239]) ).
cnf(c_0_273,negated_conjecture,
( epred34_0
| epred22_0
| epred10_0
| hskp13
| hskp20 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_274,negated_conjecture,
( epred57_0
| epred10_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_275,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_245,c_0_165]),c_0_172]) ).
cnf(c_0_276,negated_conjecture,
( epred34_0
| epred29_0
| epred23_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_277,negated_conjecture,
( epred34_0
| epred31_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_184,c_0_248]) ).
cnf(c_0_278,negated_conjecture,
( epred31_0
| epred22_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_221,c_0_187]) ).
cnf(c_0_279,negated_conjecture,
( ~ c0_1(a754)
| ~ hskp20 ),
clause97 ).
cnf(c_0_280,negated_conjecture,
( epred31_0
| epred22_0
| hskp0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_249,c_0_213]) ).
cnf(c_0_281,negated_conjecture,
( epred31_0
| epred4_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_282,negated_conjecture,
( epred31_0
| epred4_0
| hskp13
| hskp20 ),
inference(spm,[status(thm)],[c_0_251,c_0_241]) ).
cnf(c_0_283,negated_conjecture,
( c0_1(a713)
| ~ hskp29 ),
clause43 ).
cnf(c_0_284,negated_conjecture,
( c2_1(a713)
| ~ hskp29 ),
clause44 ).
cnf(c_0_285,negated_conjecture,
( c3_1(a713)
| ~ hskp29 ),
clause45 ).
cnf(c_0_286,negated_conjecture,
( epred24_0
| hskp29
| ~ c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_181]),c_0_183]) ).
cnf(c_0_287,negated_conjecture,
( epred15_0
| c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_181]),c_0_182]) ).
cnf(c_0_288,negated_conjecture,
( epred8_0
| c2_1(a722)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_254]),c_0_153]) ).
cnf(c_0_289,negated_conjecture,
( epred14_0
| c0_1(X1)
| c3_1(X1)
| hskp6
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_147])]) ).
cnf(c_0_290,negated_conjecture,
( epred37_0
| epred23_0
| epred1_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_291,negated_conjecture,
( epred37_0
| epred23_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_258,c_0_170]) ).
cnf(c_0_292,negated_conjecture,
( epred13_0
| c3_1(a763)
| hskp13
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_166]),c_0_202]) ).
fof(c_0_293,plain,
( ~ epred9_0
<=> ! [X1] :
( hskp28
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_294,negated_conjecture,
( epred27_0
| c2_1(X1)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_260]),c_0_147])]) ).
cnf(c_0_295,negated_conjecture,
( c1_1(a717)
| ~ hskp10 ),
clause71 ).
cnf(c_0_296,negated_conjecture,
( ~ c2_1(a717)
| ~ hskp10 ),
clause116 ).
cnf(c_0_297,negated_conjecture,
( epred16_0
| c0_1(X1)
| c2_1(X1)
| hskp5
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_261]),c_0_147])]) ).
cnf(c_0_298,negated_conjecture,
( c3_1(a717)
| ~ hskp10 ),
clause72 ).
cnf(c_0_299,negated_conjecture,
( epred30_0
| c0_1(X1)
| hskp10
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_147])]) ).
cnf(c_0_300,negated_conjecture,
( c1_1(a761)
| ~ hskp22 ),
clause57 ).
cnf(c_0_301,negated_conjecture,
( ~ c0_1(a761)
| ~ hskp22 ),
clause94 ).
cnf(c_0_302,negated_conjecture,
( epred52_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_263]),c_0_147])]) ).
fof(c_0_303,plain,
( ~ epred19_0
<=> ! [X1] :
( hskp3
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_304,plain,
( ~ epred17_0
<=> ! [X2] :
( hskp3
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_305,plain,
( ~ epred56_0
<=> ! [X3] :
( c1_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_306,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
clause191 ).
cnf(c_0_307,negated_conjecture,
( epred58_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_181]),c_0_182]),c_0_183]) ).
cnf(c_0_308,negated_conjecture,
( epred34_0
| epred6_0
| epred2_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
fof(c_0_309,plain,
( ~ epred7_0
<=> ! [X2] :
( hskp28
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_310,plain,
( ~ epred41_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_311,plain,
( ~ epred25_0
<=> ! [X2] :
( c2_1(X2)
| c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_312,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp0
| hskp1
| ~ ndr1_0 ),
clause133 ).
cnf(c_0_313,negated_conjecture,
( c3_1(X1)
| hskp21
| hskp22
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause152 ).
fof(c_0_314,plain,
( ~ epred55_0
<=> ! [X3] :
( c3_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_315,negated_conjecture,
( hskp23
| hskp24
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause153 ).
fof(c_0_316,plain,
( ~ epred43_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_317,negated_conjecture,
( epred61_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_267]),c_0_147])]) ).
cnf(c_0_318,negated_conjecture,
( epred54_0
| c2_1(a777)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_156]) ).
cnf(c_0_319,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause162 ).
cnf(c_0_320,negated_conjecture,
( epred57_0
| epred34_0
| epred29_0
| ~ epred54_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_321,negated_conjecture,
( epred57_0
| epred34_0
| epred22_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_322,negated_conjecture,
( epred57_0
| epred4_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_212,c_0_250]) ).
cnf(c_0_323,negated_conjecture,
( epred34_0
| epred29_0
| epred23_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
fof(c_0_324,plain,
( ~ epred26_0
<=> ! [X1] :
( hskp28
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_325,negated_conjecture,
( epred34_0
| epred31_0
| epred22_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_326,negated_conjecture,
( epred31_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_196]),c_0_244]),c_0_242]) ).
cnf(c_0_327,negated_conjecture,
( epred34_0
| epred31_0
| epred22_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_277,c_0_280]) ).
cnf(c_0_328,negated_conjecture,
( epred31_0
| epred4_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_329,negated_conjecture,
( epred37_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_283]),c_0_284]),c_0_285]) ).
cnf(c_0_330,negated_conjecture,
( epred24_0
| epred15_0
| hskp29
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_331,negated_conjecture,
( epred37_0
| epred8_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_258,c_0_288]) ).
cnf(c_0_332,negated_conjecture,
( epred8_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_254]),c_0_166]),c_0_167]) ).
fof(c_0_333,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp0
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_334,negated_conjecture,
( epred14_0
| hskp6
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_244]),c_0_242]),c_0_279]) ).
cnf(c_0_335,negated_conjecture,
( epred37_0
| epred23_0
| epred1_0
| hskp13
| hskp20 ),
inference(spm,[status(thm)],[c_0_290,c_0_241]) ).
cnf(c_0_336,negated_conjecture,
( epred23_0
| epred2_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_192,c_0_232]) ).
cnf(c_0_337,negated_conjecture,
( epred37_0
| epred23_0
| hskp13
| hskp23 ),
inference(spm,[status(thm)],[c_0_291,c_0_195]) ).
cnf(c_0_338,negated_conjecture,
( epred13_0
| epred6_0
| hskp13
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_231,c_0_292]) ).
cnf(c_0_339,negated_conjecture,
( epred9_0
| c3_1(X1)
| c2_1(X1)
| hskp28
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_293]),c_0_147])]) ).
fof(c_0_340,plain,
( ~ epred62_0
<=> ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_341,negated_conjecture,
( epred27_0
| hskp12
| ~ c0_1(a717)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).
cnf(c_0_342,negated_conjecture,
( epred16_0
| c0_1(a717)
| hskp5
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_296]) ).
cnf(c_0_343,negated_conjecture,
( epred30_0
| hskp10
| ~ c3_1(a761)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).
cnf(c_0_344,negated_conjecture,
( epred58_0
| c3_1(a761)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_300]),c_0_301]) ).
cnf(c_0_345,negated_conjecture,
( epred52_0
| c0_1(a717)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_295]),c_0_296]) ).
cnf(c_0_346,negated_conjecture,
( c1_1(a760)
| ~ hskp21 ),
clause58 ).
cnf(c_0_347,negated_conjecture,
( c3_1(a760)
| ~ hskp21 ),
clause59 ).
cnf(c_0_348,negated_conjecture,
( ~ c0_1(a760)
| ~ hskp21 ),
clause96 ).
fof(c_0_349,plain,
( ~ epred47_0
<=> ! [X2] :
( hskp28
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_350,plain,
( ~ epred44_0
<=> ! [X2] :
( hskp14
| c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_351,negated_conjecture,
( epred19_0
| c0_1(X1)
| c2_1(X1)
| hskp3
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_303]),c_0_147])]) ).
cnf(c_0_352,negated_conjecture,
( epred17_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_304]),c_0_147])]) ).
cnf(c_0_353,negated_conjecture,
( c0_1(a697)
| ~ hskp3 ),
clause81 ).
cnf(c_0_354,negated_conjecture,
( ~ c3_1(a697)
| ~ hskp3 ),
clause127 ).
cnf(c_0_355,negated_conjecture,
( ~ epred57_0
| ~ epred56_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_305]),c_0_154]),c_0_174]) ).
cnf(c_0_356,negated_conjecture,
( epred58_0
| epred34_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_357,negated_conjecture,
( epred7_0
| c0_1(X1)
| c1_1(X1)
| hskp28
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_309]),c_0_147])]) ).
cnf(c_0_358,negated_conjecture,
( c2_1(a710)
| ~ hskp8 ),
clause73 ).
cnf(c_0_359,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp8 ),
clause120 ).
cnf(c_0_360,negated_conjecture,
( c1_1(a764)
| ~ hskp24 ),
clause55 ).
cnf(c_0_361,negated_conjecture,
( ~ c3_1(a764)
| ~ hskp24 ),
clause91 ).
cnf(c_0_362,negated_conjecture,
( epred41_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_310]) ).
cnf(c_0_363,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp3
| hskp1
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause140 ).
cnf(c_0_364,negated_conjecture,
( epred25_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_311]) ).
fof(c_0_365,plain,
( ~ epred45_0
<=> ! [X2] :
( hskp8
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_366,negated_conjecture,
( ~ c1_1(a751)
| ~ hskp18 ),
clause101 ).
cnf(c_0_367,negated_conjecture,
( c0_1(a751)
| ~ hskp18 ),
clause62 ).
cnf(c_0_368,negated_conjecture,
( ~ c1_1(a744)
| ~ hskp17 ),
clause103 ).
cnf(c_0_369,negated_conjecture,
( ~ c2_1(a744)
| ~ hskp17 ),
clause104 ).
cnf(c_0_370,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause138 ).
fof(c_0_371,plain,
( ~ epred33_0
<=> ! [X2] :
( hskp2
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_372,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp2
| hskp7
| ~ ndr1_0 ),
clause135 ).
cnf(c_0_373,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp0
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_147])]) ).
cnf(c_0_374,negated_conjecture,
( c3_1(X1)
| hskp21
| hskp22
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_147])]) ).
cnf(c_0_375,negated_conjecture,
( epred55_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_314]),c_0_147])]) ).
cnf(c_0_376,negated_conjecture,
( c2_1(X1)
| hskp16
| hskp20
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause149 ).
cnf(c_0_377,negated_conjecture,
( c2_1(X1)
| hskp18
| hskp19
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause148 ).
cnf(c_0_378,negated_conjecture,
( c1_1(X1)
| hskp7
| hskp13
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause146 ).
fof(c_0_379,plain,
( ~ epred48_0
<=> ! [X2] :
( hskp20
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_380,negated_conjecture,
( hskp27
| hskp18
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause154 ).
cnf(c_0_381,negated_conjecture,
( hskp23
| hskp24
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_147])]) ).
cnf(c_0_382,negated_conjecture,
( epred43_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_316]) ).
fof(c_0_383,plain,
( ~ epred46_0
<=> ! [X2] :
( hskp5
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_384,negated_conjecture,
( epred61_0
| epred29_0
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_317]) ).
fof(c_0_385,plain,
( ~ epred42_0
<=> ! [X1] :
( hskp16
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_386,plain,
( ~ epred40_0
<=> ! [X1] :
( hskp17
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_387,plain,
( ~ epred38_0
<=> ! [X2] :
( hskp28
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_388,plain,
( ~ epred36_0
<=> ! [X2] :
( hskp30
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_389,plain,
( ~ epred60_0
<=> ! [X3] :
( c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_390,plain,
( ~ epred59_0
<=> ! [X1] :
( c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_391,negated_conjecture,
( epred54_0
| epred34_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_179,c_0_318]) ).
cnf(c_0_392,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_319,c_0_146]),c_0_143]) ).
cnf(c_0_393,negated_conjecture,
( epred57_0
| epred34_0
| epred29_0
| epred22_0
| ~ epred54_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_394,negated_conjecture,
( epred57_0
| epred34_0
| epred29_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_247]),c_0_323]) ).
cnf(c_0_395,negated_conjecture,
( ~ c2_1(a764)
| ~ hskp24 ),
clause90 ).
cnf(c_0_396,negated_conjecture,
( ~ c2_1(a761)
| ~ hskp22 ),
clause95 ).
cnf(c_0_397,negated_conjecture,
( epred26_0
| c3_1(X1)
| hskp28
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_147])]) ).
cnf(c_0_398,negated_conjecture,
( epred34_0
| epred31_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_241]),c_0_326]),c_0_327]) ).
cnf(c_0_399,negated_conjecture,
( epred31_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_328]) ).
fof(c_0_400,plain,
( ~ epred32_0
<=> ! [X2] :
( hskp4
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_401,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause172 ).
cnf(c_0_402,negated_conjecture,
( epred37_0
| epred24_0
| epred15_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_403,negated_conjecture,
( epred37_0
| epred8_0
| hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_195]),c_0_332]) ).
cnf(c_0_404,negated_conjecture,
( epred21_0
| c0_1(X1)
| c1_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_147])]) ).
cnf(c_0_405,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp27
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause156 ).
cnf(c_0_406,negated_conjecture,
( epred23_0
| epred14_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_216,c_0_334]) ).
cnf(c_0_407,negated_conjecture,
( epred37_0
| epred23_0
| epred3_0
| epred1_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_246,c_0_335]) ).
cnf(c_0_408,negated_conjecture,
( epred37_0
| epred23_0
| epred2_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_409,negated_conjecture,
( epred16_0
| c2_1(a777)
| hskp5
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_156]),c_0_268]) ).
cnf(c_0_410,negated_conjecture,
( epred34_0
| epred13_0
| epred6_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_338,c_0_266]) ).
cnf(c_0_411,negated_conjecture,
( epred9_0
| c3_1(a763)
| hskp28
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_166]),c_0_167]) ).
cnf(c_0_412,negated_conjecture,
( ~ c1_1(a701)
| ~ hskp5 ),
clause123 ).
cnf(c_0_413,negated_conjecture,
( c2_1(a701)
| ~ hskp5 ),
clause80 ).
cnf(c_0_414,negated_conjecture,
( c0_1(a701)
| ~ hskp5 ),
clause79 ).
cnf(c_0_415,negated_conjecture,
( ~ c1_1(a693)
| ~ hskp1 ),
clause129 ).
cnf(c_0_416,negated_conjecture,
( ~ c3_1(a693)
| ~ hskp1 ),
clause130 ).
cnf(c_0_417,negated_conjecture,
( c2_1(a693)
| ~ hskp1 ),
clause85 ).
cnf(c_0_418,negated_conjecture,
( epred62_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_340]) ).
cnf(c_0_419,negated_conjecture,
( hskp29
| hskp7
| hskp13 ),
clause35 ).
fof(c_0_420,plain,
( ~ epred53_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_421,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_422,negated_conjecture,
( c0_1(a696)
| ~ hskp2 ),
clause83 ).
cnf(c_0_423,negated_conjecture,
( ~ c2_1(a696)
| ~ hskp2 ),
clause128 ).
cnf(c_0_424,negated_conjecture,
( c1_1(a696)
| ~ hskp2 ),
clause84 ).
fof(c_0_425,plain,
( ~ epred20_0
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_426,plain,
( ~ epred18_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_427,negated_conjecture,
( epred27_0
| epred16_0
| hskp5
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_428,negated_conjecture,
( epred58_0
| epred30_0
| hskp10
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_429,negated_conjecture,
( epred52_0
| epred27_0
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_341,c_0_345]) ).
cnf(c_0_430,negated_conjecture,
( epred30_0
| hskp10
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_346]),c_0_347]),c_0_348]) ).
cnf(c_0_431,negated_conjecture,
( epred27_0
| epred6_0
| c2_1(X1)
| hskp12
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_294,c_0_157]) ).
cnf(c_0_432,negated_conjecture,
( epred47_0
| c2_1(X1)
| hskp28
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_349]),c_0_147])]) ).
cnf(c_0_433,negated_conjecture,
( epred44_0
| c3_1(X1)
| c1_1(X1)
| hskp14
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_350]),c_0_147])]) ).
cnf(c_0_434,negated_conjecture,
( epred19_0
| epred17_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp3 ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_435,negated_conjecture,
( epred13_0
| c1_1(a697)
| hskp13
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_353]),c_0_354]) ).
cnf(c_0_436,negated_conjecture,
( epred58_0
| epred34_0
| epred6_0
| ~ epred57_0
| ~ epred56_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_437,negated_conjecture,
( epred7_0
| c1_1(a710)
| hskp28
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).
cnf(c_0_438,negated_conjecture,
( epred58_0
| epred10_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_160]) ).
cnf(c_0_439,negated_conjecture,
( epred58_0
| c0_1(a764)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_360]),c_0_361]) ).
cnf(c_0_440,negated_conjecture,
( epred58_0
| c0_1(a708)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_209]),c_0_211]) ).
cnf(c_0_441,negated_conjecture,
( epred41_0
| epred8_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_362,c_0_254]) ).
cnf(c_0_442,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| hskp1
| hskp3
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_147])]) ).
cnf(c_0_443,negated_conjecture,
( epred3_0
| epred1_0
| c0_1(X1)
| c3_1(X1)
| hskp6
| hskp27 ),
inference(spm,[status(thm)],[c_0_191,c_0_228]) ).
cnf(c_0_444,negated_conjecture,
( epred25_0
| c0_1(a717)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_295]),c_0_296]) ).
cnf(c_0_445,negated_conjecture,
( epred3_0
| c0_1(a764)
| hskp6
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_360]),c_0_361]) ).
cnf(c_0_446,negated_conjecture,
( epred15_0
| epred8_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_447,negated_conjecture,
( c0_1(a752)
| ~ hskp19 ),
clause61 ).
cnf(c_0_448,negated_conjecture,
( epred45_0
| c0_1(X1)
| c3_1(X1)
| hskp8
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_365]),c_0_147])]) ).
cnf(c_0_449,negated_conjecture,
( epred8_0
| c2_1(a751)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_254]),c_0_367]) ).
cnf(c_0_450,negated_conjecture,
( epred8_0
| ~ c0_1(a744)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_254]),c_0_369]) ).
cnf(c_0_451,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp4
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_147])]) ).
cnf(c_0_452,negated_conjecture,
( epred33_0
| c0_1(X1)
| c1_1(X1)
| hskp2
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_371]),c_0_147])]) ).
cnf(c_0_453,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp2
| hskp7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_147])]) ).
cnf(c_0_454,negated_conjecture,
( epred58_0
| c0_1(X1)
| c3_1(X1)
| hskp0
| hskp1 ),
inference(spm,[status(thm)],[c_0_264,c_0_373]) ).
cnf(c_0_455,negated_conjecture,
( epred55_0
| c3_1(X1)
| hskp21
| hskp22
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_456,negated_conjecture,
( c2_1(a697)
| ~ hskp3 ),
clause82 ).
cnf(c_0_457,negated_conjecture,
( c2_1(X1)
| hskp16
| hskp20
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_147])]) ).
cnf(c_0_458,negated_conjecture,
( c2_1(X1)
| hskp18
| hskp19
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_147])]) ).
cnf(c_0_459,negated_conjecture,
( c1_1(X1)
| hskp7
| hskp13
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_147])]) ).
cnf(c_0_460,negated_conjecture,
( c3_1(a738)
| ~ hskp16 ),
clause64 ).
cnf(c_0_461,negated_conjecture,
( epred48_0
| c3_1(X1)
| hskp20
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_379]),c_0_147])]) ).
cnf(c_0_462,negated_conjecture,
( hskp18
| hskp27
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_147])]) ).
cnf(c_0_463,negated_conjecture,
( epred43_0
| hskp23
| hskp24
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_464,negated_conjecture,
( c1_1(a695)
| ~ hskp28 ),
clause47 ).
cnf(c_0_465,negated_conjecture,
( c1_1(a691)
| ~ hskp27 ),
clause50 ).
cnf(c_0_466,negated_conjecture,
( epred46_0
| c0_1(X1)
| hskp5
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_383]),c_0_147])]) ).
cnf(c_0_467,negated_conjecture,
( epred61_0
| epred29_0
| c2_1(a725)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_162,c_0_384]) ).
cnf(c_0_468,negated_conjecture,
( epred42_0
| c3_1(X1)
| hskp16
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_147])]) ).
cnf(c_0_469,negated_conjecture,
( epred40_0
| c3_1(X1)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_386]),c_0_147])]) ).
cnf(c_0_470,negated_conjecture,
( epred38_0
| c0_1(X1)
| c2_1(X1)
| hskp28
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_147])]) ).
cnf(c_0_471,negated_conjecture,
( epred36_0
| c3_1(X1)
| c2_1(X1)
| hskp30
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_388]),c_0_147])]) ).
cnf(c_0_472,negated_conjecture,
( epred60_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_389]),c_0_147])]) ).
cnf(c_0_473,negated_conjecture,
( epred59_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_390]),c_0_147])]) ).
cnf(c_0_474,negated_conjecture,
( epred56_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_305]),c_0_147])]) ).
cnf(c_0_475,negated_conjecture,
( c1_1(a733)
| ~ hskp30 ),
clause40 ).
cnf(c_0_476,negated_conjecture,
( epred54_0
| epred34_0
| hskp7
| hskp14 ),
inference(spm,[status(thm)],[c_0_391,c_0_208]) ).
cnf(c_0_477,negated_conjecture,
( epred57_0
| epred34_0
| epred29_0
| ~ epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_394]) ).
cnf(c_0_478,negated_conjecture,
( epred27_0
| hskp12
| ~ c0_1(a764)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_360]),c_0_395]) ).
cnf(c_0_479,negated_conjecture,
( epred54_0
| ~ c3_1(a761)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_269]),c_0_396]) ).
cnf(c_0_480,negated_conjecture,
( epred15_0
| c3_1(a761)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_300]),c_0_396]) ).
cnf(c_0_481,negated_conjecture,
( epred26_0
| hskp28
| ~ c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_181]),c_0_182]) ).
cnf(c_0_482,negated_conjecture,
( epred52_0
| c2_1(a726)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_181]),c_0_183]) ).
cnf(c_0_483,negated_conjecture,
( epred26_0
| hskp28
| ~ c2_1(a730)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_176]),c_0_177]) ).
cnf(c_0_484,negated_conjecture,
( epred9_0
| c2_1(a730)
| hskp28
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_178]),c_0_177]) ).
cnf(c_0_485,negated_conjecture,
( epred34_0
| epred31_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_392,c_0_398]) ).
cnf(c_0_486,negated_conjecture,
( epred34_0
| epred31_0
| epred29_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_399]) ).
cnf(c_0_487,negated_conjecture,
( ~ epred32_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_401,c_0_400]),c_0_225]) ).
cnf(c_0_488,negated_conjecture,
( epred37_0
| epred24_0
| epred15_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_489,negated_conjecture,
( epred21_0
| hskp0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_156]),c_0_155]),c_0_268]) ).
cnf(c_0_490,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_405,c_0_201]),c_0_174]) ).
cnf(c_0_491,negated_conjecture,
( epred37_0
| epred23_0
| epred14_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_492,negated_conjecture,
( epred37_0
| epred23_0
| epred3_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_408]) ).
cnf(c_0_493,negated_conjecture,
( epred34_0
| epred16_0
| hskp5
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_179,c_0_409]) ).
cnf(c_0_494,negated_conjecture,
( epred58_0
| epred34_0
| epred13_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_410]) ).
cnf(c_0_495,negated_conjecture,
( epred23_0
| epred9_0
| hskp28
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_192,c_0_411]) ).
cnf(c_0_496,negated_conjecture,
( ~ c3_1(a751)
| ~ hskp18 ),
clause102 ).
cnf(c_0_497,negated_conjecture,
( epred34_0
| ~ c3_1(a701)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_150]),c_0_413]) ).
cnf(c_0_498,negated_conjecture,
( epred13_0
| c3_1(a701)
| hskp13
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_414]),c_0_412]) ).
cnf(c_0_499,negated_conjecture,
( epred2_0
| ~ c0_1(a693)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_203]),c_0_416]) ).
cnf(c_0_500,negated_conjecture,
( epred7_0
| c0_1(a693)
| hskp28
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_417]),c_0_415]) ).
cnf(c_0_501,negated_conjecture,
( epred62_0
| ~ c0_1(a764)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_360]),c_0_361]) ).
cnf(c_0_502,negated_conjecture,
( epred37_0
| hskp7
| hskp13 ),
inference(spm,[status(thm)],[c_0_329,c_0_419]) ).
cnf(c_0_503,negated_conjecture,
( epred53_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_420]) ).
cnf(c_0_504,negated_conjecture,
( epred39_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_421]) ).
cnf(c_0_505,negated_conjecture,
( c2_1(a733)
| ~ hskp30 ),
clause41 ).
cnf(c_0_506,negated_conjecture,
( c3_1(a733)
| ~ hskp30 ),
clause42 ).
cnf(c_0_507,negated_conjecture,
( c2_1(a695)
| ~ hskp28 ),
clause48 ).
cnf(c_0_508,negated_conjecture,
( c0_1(a695)
| ~ hskp28 ),
clause46 ).
cnf(c_0_509,negated_conjecture,
( epred37_0
| ~ c3_1(a701)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_414]),c_0_413]) ).
cnf(c_0_510,negated_conjecture,
( epred2_0
| c3_1(a701)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_203]),c_0_414]) ).
cnf(c_0_511,negated_conjecture,
( ~ c1_1(a738)
| ~ hskp16 ),
clause106 ).
cnf(c_0_512,negated_conjecture,
( c2_1(a738)
| ~ hskp16 ),
clause63 ).
cnf(c_0_513,negated_conjecture,
( epred34_0
| epred8_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_169,c_0_288]) ).
cnf(c_0_514,negated_conjecture,
( ~ c2_1(a752)
| ~ hskp19 ),
clause99 ).
cnf(c_0_515,negated_conjecture,
( ~ c3_1(a752)
| ~ hskp19 ),
clause100 ).
cnf(c_0_516,negated_conjecture,
( epred23_0
| ~ c3_1(a696)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_422]),c_0_423]) ).
cnf(c_0_517,negated_conjecture,
( epred15_0
| c3_1(a696)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_424]),c_0_423]) ).
cnf(c_0_518,negated_conjecture,
( epred20_0
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_425]) ).
cnf(c_0_519,negated_conjecture,
( epred18_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_426]) ).
cnf(c_0_520,negated_conjecture,
( ~ c0_1(a698)
| ~ hskp4 ),
clause124 ).
cnf(c_0_521,negated_conjecture,
( ~ c2_1(a698)
| ~ hskp4 ),
clause125 ).
cnf(c_0_522,negated_conjecture,
( ~ c3_1(a698)
| ~ hskp4 ),
clause126 ).
cnf(c_0_523,negated_conjecture,
( epred29_0
| epred4_0
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_197]) ).
cnf(c_0_524,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3) ),
clause194 ).
cnf(c_0_525,negated_conjecture,
( c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
clause193 ).
cnf(c_0_526,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
clause195 ).
cnf(c_0_527,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause196 ).
cnf(c_0_528,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X3) ),
clause192 ).
cnf(c_0_529,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
clause190 ).
cnf(c_0_530,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c2_1(X1)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X1) ),
clause184 ).
cnf(c_0_531,negated_conjecture,
( c3_1(X2)
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause188 ).
cnf(c_0_532,negated_conjecture,
( c2_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause186 ).
cnf(c_0_533,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause179 ).
cnf(c_0_534,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause178 ).
cnf(c_0_535,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause180 ).
cnf(c_0_536,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| hskp16
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause181 ).
cnf(c_0_537,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause183 ).
cnf(c_0_538,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause177 ).
cnf(c_0_539,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp30
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause182 ).
cnf(c_0_540,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp2
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause169 ).
cnf(c_0_541,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause171 ).
cnf(c_0_542,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause174 ).
cnf(c_0_543,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause176 ).
cnf(c_0_544,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp29
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause170 ).
cnf(c_0_545,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause161 ).
cnf(c_0_546,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause160 ).
cnf(c_0_547,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause166 ).
cnf(c_0_548,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause164 ).
cnf(c_0_549,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause165 ).
cnf(c_0_550,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause167 ).
cnf(c_0_551,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp28
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause168 ).
cnf(c_0_552,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp28
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause159 ).
cnf(c_0_553,negated_conjecture,
( epred27_0
| epred16_0
| hskp5
| hskp12
| epred58_0
| epred30_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_554,negated_conjecture,
( epred52_0
| epred27_0
| hskp12
| epred30_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_555,negated_conjecture,
( epred27_0
| epred16_0
| hskp5
| hskp12
| epred30_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_427,c_0_430]) ).
cnf(c_0_556,negated_conjecture,
( epred27_0
| epred6_0
| c2_1(a702)
| hskp12
| ~ c3_1(a702)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_431,c_0_188]) ).
cnf(c_0_557,negated_conjecture,
( epred47_0
| c2_1(a717)
| hskp28
| epred52_0
| ~ c3_1(a717)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_432,c_0_345]) ).
cnf(c_0_558,negated_conjecture,
( epred23_0
| c2_1(a717)
| epred52_0
| ~ c3_1(a717)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_152,c_0_345]) ).
cnf(c_0_559,negated_conjecture,
( epred44_0
| c3_1(a725)
| c1_1(a725)
| hskp14
| epred22_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_433,c_0_187]) ).
cnf(c_0_560,negated_conjecture,
( epred7_0
| c0_1(a725)
| c1_1(a725)
| hskp28
| epred22_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_357,c_0_187]) ).
cnf(c_0_561,negated_conjecture,
( epred19_0
| epred17_0
| c3_1(a725)
| c2_1(a725)
| hskp3
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_163,c_0_434]) ).
cnf(c_0_562,negated_conjecture,
( epred62_0
| c3_1(a697)
| epred13_0
| hskp13
| ~ c0_1(a697)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_418,c_0_435]) ).
cnf(c_0_563,negated_conjecture,
( epred58_0
| epred34_0
| ~ epred54_0
| ~ epred10_0
| ~ epred57_0
| ~ epred56_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_436]) ).
cnf(c_0_564,negated_conjecture,
( epred30_0
| c0_1(a710)
| hskp10
| epred7_0
| hskp28
| ~ c3_1(a710)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_299,c_0_437]) ).
cnf(c_0_565,negated_conjecture,
( epred58_0
| epred10_0
| c3_1(a754)
| ~ hskp20
| ~ c2_1(a754) ),
inference(spm,[status(thm)],[c_0_279,c_0_438]) ).
cnf(c_0_566,negated_conjecture,
( epred29_0
| c3_1(a764)
| c2_1(a764)
| epred58_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_168,c_0_439]) ).
cnf(c_0_567,negated_conjecture,
( c3_1(a708)
| hskp21
| hskp22
| epred58_0
| ~ c2_1(a708)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_374,c_0_440]) ).
cnf(c_0_568,negated_conjecture,
( epred41_0
| epred8_0
| c2_1(a702)
| ~ c3_1(a702)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_441,c_0_188]) ).
cnf(c_0_569,negated_conjecture,
( c2_1(a763)
| c1_1(a763)
| hskp1
| hskp3
| epred29_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_442,c_0_193]) ).
cnf(c_0_570,negated_conjecture,
( epred3_0
| epred1_0
| c3_1(a725)
| hskp6
| hskp27
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_163,c_0_443]) ).
cnf(c_0_571,negated_conjecture,
( epred47_0
| c2_1(a717)
| hskp28
| epred25_0
| ~ c3_1(a717)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_432,c_0_444]) ).
cnf(c_0_572,negated_conjecture,
( epred29_0
| c3_1(a764)
| c2_1(a764)
| epred3_0
| hskp6
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_168,c_0_445]) ).
cnf(c_0_573,negated_conjecture,
( epred15_0
| epred8_0
| c3_1(a752)
| c2_1(a752)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_574,negated_conjecture,
( epred45_0
| c0_1(a726)
| c3_1(a726)
| hskp8
| epred15_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_448,c_0_287]) ).
cnf(c_0_575,negated_conjecture,
( epred44_0
| c3_1(a751)
| c1_1(a751)
| hskp14
| epred8_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_433,c_0_449]) ).
cnf(c_0_576,negated_conjecture,
( epred8_0
| epred61_0
| c3_1(a744)
| c2_1(a744)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_450,c_0_317]) ).
cnf(c_0_577,negated_conjecture,
( epred14_0
| c0_1(a726)
| c3_1(a726)
| hskp6
| epred4_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_289,c_0_250]) ).
cnf(c_0_578,negated_conjecture,
( c0_1(a725)
| c1_1(a725)
| hskp3
| hskp4
| epred4_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_451,c_0_222]) ).
cnf(c_0_579,negated_conjecture,
( epred33_0
| c0_1(a725)
| c1_1(a725)
| hskp2
| epred4_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_452,c_0_222]) ).
cnf(c_0_580,negated_conjecture,
( epred7_0
| c0_1(a725)
| c1_1(a725)
| hskp28
| epred4_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_357,c_0_222]) ).
cnf(c_0_581,negated_conjecture,
( c3_1(a725)
| c2_1(a725)
| hskp2
| hskp7
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_163,c_0_453]) ).
cnf(c_0_582,negated_conjecture,
( epred58_0
| c3_1(a754)
| hskp0
| hskp1
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_279,c_0_454]) ).
cnf(c_0_583,negated_conjecture,
( c0_1(a725)
| c3_1(a725)
| hskp0
| hskp1
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_161,c_0_373]) ).
cnf(c_0_584,negated_conjecture,
( epred55_0
| c3_1(a697)
| hskp21
| hskp22
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
cnf(c_0_585,negated_conjecture,
( c3_1(a730)
| hskp21
| hskp22
| ~ c2_1(a730)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_374,c_0_178]) ).
cnf(c_0_586,negated_conjecture,
( c2_1(a696)
| hskp16
| hskp20
| ~ c3_1(a696)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_457,c_0_424]) ).
cnf(c_0_587,negated_conjecture,
( c2_1(a717)
| hskp18
| hskp19
| ~ c3_1(a717)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_458,c_0_295]) ).
cnf(c_0_588,negated_conjecture,
( c2_1(a696)
| hskp18
| hskp19
| ~ c3_1(a696)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_458,c_0_424]) ).
cnf(c_0_589,negated_conjecture,
( c1_1(a777)
| hskp7
| hskp13
| ~ c2_1(a777)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_459,c_0_156]) ).
cnf(c_0_590,negated_conjecture,
( c1_1(a738)
| hskp7
| hskp13
| ~ c2_1(a738)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_591,negated_conjecture,
( c1_1(a722)
| hskp7
| hskp13
| ~ c2_1(a722)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_459,c_0_151]) ).
cnf(c_0_592,negated_conjecture,
( epred48_0
| c3_1(a730)
| hskp20
| ~ c2_1(a730)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_461,c_0_176]) ).
cnf(c_0_593,negated_conjecture,
( epred48_0
| c3_1(a708)
| hskp20
| ~ c2_1(a708)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_461,c_0_209]) ).
cnf(c_0_594,negated_conjecture,
( hskp18
| hskp27
| ~ c0_1(a717)
| ~ c3_1(a717)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_462,c_0_295]) ).
cnf(c_0_595,negated_conjecture,
( epred43_0
| hskp23
| hskp24
| ~ c2_1(a697)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_463,c_0_353]) ).
cnf(c_0_596,negated_conjecture,
( hskp23
| hskp24
| ~ c0_1(a695)
| ~ c2_1(a695)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_381,c_0_464]) ).
cnf(c_0_597,negated_conjecture,
( hskp23
| hskp24
| ~ c0_1(a691)
| ~ c2_1(a691)
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_381,c_0_465]) ).
cnf(c_0_598,negated_conjecture,
( hskp23
| hskp24
| ~ c0_1(a708)
| ~ c2_1(a708)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_381,c_0_209]) ).
cnf(c_0_599,negated_conjecture,
( epred47_0
| c2_1(a702)
| hskp28
| ~ c3_1(a702)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_432,c_0_188]) ).
cnf(c_0_600,negated_conjecture,
( epred46_0
| c0_1(a760)
| hskp5
| ~ c2_1(a760)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_466,c_0_346]) ).
cnf(c_0_601,negated_conjecture,
( epred45_0
| c0_1(a754)
| c3_1(a754)
| hskp8
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_448,c_0_244]) ).
cnf(c_0_602,negated_conjecture,
( epred44_0
| c3_1(a693)
| c1_1(a693)
| hskp14
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_433,c_0_417]) ).
cnf(c_0_603,negated_conjecture,
( epred44_0
| c3_1(a692)
| c1_1(a692)
| hskp14
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_433,c_0_159]) ).
cnf(c_0_604,negated_conjecture,
( epred44_0
| c3_1(a725)
| c1_1(a725)
| hskp14
| epred61_0
| epred29_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_433,c_0_467]) ).
cnf(c_0_605,negated_conjecture,
( epred42_0
| c3_1(a726)
| hskp16
| ~ c2_1(a726)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_468,c_0_181]) ).
cnf(c_0_606,negated_conjecture,
( epred42_0
| c3_1(a708)
| hskp16
| ~ c2_1(a708)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_468,c_0_209]) ).
cnf(c_0_607,negated_conjecture,
( epred61_0
| c3_1(a725)
| c2_1(a725)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_163,c_0_317]) ).
cnf(c_0_608,negated_conjecture,
( epred40_0
| c3_1(a764)
| hskp17
| ~ c0_1(a764)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_469,c_0_360]) ).
cnf(c_0_609,negated_conjecture,
( epred38_0
| c0_1(a717)
| c2_1(a717)
| hskp28
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_470,c_0_298]) ).
cnf(c_0_610,negated_conjecture,
( epred36_0
| c3_1(a764)
| c2_1(a764)
| hskp30
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_471,c_0_360]) ).
cnf(c_0_611,negated_conjecture,
( epred60_0
| ~ hskp8
| ~ c3_1(a710)
| ~ c2_1(a710) ),
inference(spm,[status(thm)],[c_0_359,c_0_472]) ).
cnf(c_0_612,negated_conjecture,
( epred60_0
| ~ hskp0
| ~ c3_1(a692)
| ~ c2_1(a692) ),
inference(spm,[status(thm)],[c_0_220,c_0_472]) ).
cnf(c_0_613,negated_conjecture,
( epred59_0
| c3_1(a695)
| ~ c0_1(a695)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_473,c_0_464]) ).
cnf(c_0_614,negated_conjecture,
( epred59_0
| c3_1(a730)
| ~ c0_1(a730)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_473,c_0_176]) ).
cnf(c_0_615,negated_conjecture,
( epred56_0
| c0_1(a692)
| ~ hskp0
| ~ c2_1(a692) ),
inference(spm,[status(thm)],[c_0_158,c_0_474]) ).
cnf(c_0_616,negated_conjecture,
( epred55_0
| c3_1(a754)
| ~ hskp20
| ~ c2_1(a754) ),
inference(spm,[status(thm)],[c_0_279,c_0_375]) ).
cnf(c_0_617,negated_conjecture,
( epred55_0
| c3_1(a726)
| ~ hskp13
| ~ c2_1(a726) ),
inference(spm,[status(thm)],[c_0_183,c_0_375]) ).
cnf(c_0_618,negated_conjecture,
( epred55_0
| c3_1(a692)
| ~ hskp0
| ~ c2_1(a692) ),
inference(spm,[status(thm)],[c_0_220,c_0_375]) ).
cnf(c_0_619,negated_conjecture,
( epred55_0
| c3_1(a725)
| ~ hskp12
| ~ c2_1(a725) ),
inference(spm,[status(thm)],[c_0_163,c_0_375]) ).
cnf(c_0_620,negated_conjecture,
( epred33_0
| c0_1(a692)
| c1_1(a692)
| hskp2
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_452,c_0_159]) ).
cnf(c_0_621,negated_conjecture,
( epred30_0
| c0_1(a733)
| hskp10
| ~ c3_1(a733)
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_299,c_0_475]) ).
cnf(c_0_622,negated_conjecture,
( epred57_0
| epred34_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_476]),c_0_238]),c_0_477]) ).
cnf(c_0_623,negated_conjecture,
( epred58_0
| epred27_0
| hskp12
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_478,c_0_439]) ).
cnf(c_0_624,negated_conjecture,
( epred27_0
| c2_1(a730)
| hskp12
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_176]),c_0_178]) ).
cnf(c_0_625,negated_conjecture,
( epred27_0
| hskp12
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_424]),c_0_422]),c_0_423]) ).
cnf(c_0_626,negated_conjecture,
( epred58_0
| epred54_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_479,c_0_344]) ).
cnf(c_0_627,negated_conjecture,
( epred54_0
| epred15_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_628,negated_conjecture,
( epred52_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_300]),c_0_396]),c_0_301]) ).
cnf(c_0_629,negated_conjecture,
( epred52_0
| c2_1(a760)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_346]),c_0_348]) ).
cnf(c_0_630,negated_conjecture,
( epred52_0
| epred26_0
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_631,negated_conjecture,
( epred26_0
| epred9_0
| hskp28
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_632,negated_conjecture,
( epred26_0
| epred4_0
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_481,c_0_250]) ).
cnf(c_0_633,negated_conjecture,
( epred26_0
| hskp28
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_209]),c_0_210]),c_0_211]) ).
cnf(c_0_634,negated_conjecture,
( epred34_0
| epred31_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_635,negated_conjecture,
( epred37_0
| epred24_0
| epred15_0
| ~ epred32_0 ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_636,negated_conjecture,
( epred21_0
| hskp0
| hskp7
| hskp14 ),
inference(spm,[status(thm)],[c_0_489,c_0_208]) ).
cnf(c_0_637,negated_conjecture,
( epred37_0
| epred23_0
| epred14_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_492]) ).
cnf(c_0_638,negated_conjecture,
( epred34_0
| epred16_0
| hskp5
| hskp7
| hskp14 ),
inference(spm,[status(thm)],[c_0_493,c_0_208]) ).
cnf(c_0_639,negated_conjecture,
( epred58_0
| epred34_0
| epred13_0
| ~ epred54_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_494]) ).
cnf(c_0_640,negated_conjecture,
( epred37_0
| epred23_0
| epred9_0
| hskp13
| hskp28 ),
inference(spm,[status(thm)],[c_0_495,c_0_337]) ).
cnf(c_0_641,negated_conjecture,
( epred13_0
| hskp13
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_367]),c_0_366]),c_0_496]) ).
cnf(c_0_642,negated_conjecture,
( epred34_0
| epred13_0
| hskp13
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_497,c_0_498]) ).
cnf(c_0_643,negated_conjecture,
( epred7_0
| epred2_0
| hskp28
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_644,negated_conjecture,
( epred7_0
| hskp28
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_159]),c_0_158]),c_0_220]) ).
cnf(c_0_645,negated_conjecture,
( epred62_0
| epred58_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_501,c_0_439]) ).
cnf(c_0_646,negated_conjecture,
( epred62_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_176]),c_0_178]),c_0_177]) ).
cnf(c_0_647,negated_conjecture,
( epred62_0
| c3_1(a696)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_424]),c_0_422]) ).
cnf(c_0_648,negated_conjecture,
( epred58_0
| epred37_0
| hskp7 ),
inference(spm,[status(thm)],[c_0_307,c_0_502]) ).
cnf(c_0_649,negated_conjecture,
( epred58_0
| epred37_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_403]) ).
cnf(c_0_650,negated_conjecture,
( epred57_0
| epred15_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_212,c_0_287]) ).
cnf(c_0_651,negated_conjecture,
( epred53_0
| c2_1(a725)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_503]),c_0_162]) ).
cnf(c_0_652,negated_conjecture,
( epred43_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_382]),c_0_413]),c_0_414]) ).
cnf(c_0_653,negated_conjecture,
( epred39_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_475]),c_0_505]),c_0_506]) ).
cnf(c_0_654,negated_conjecture,
( epred39_0
| ~ c3_1(a695)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_464]),c_0_507]) ).
cnf(c_0_655,negated_conjecture,
( epred37_0
| ~ c3_1(a695)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_508]),c_0_507]) ).
cnf(c_0_656,negated_conjecture,
( epred37_0
| epred2_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_657,negated_conjecture,
( epred34_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_150]),c_0_512]),c_0_460]) ).
cnf(c_0_658,negated_conjecture,
( epred34_0
| epred8_0
| hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_195]),c_0_332]) ).
cnf(c_0_659,negated_conjecture,
( epred31_0
| epred15_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_249,c_0_287]) ).
cnf(c_0_660,negated_conjecture,
( epred29_0
| epred6_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_231,c_0_193]) ).
cnf(c_0_661,negated_conjecture,
( epred29_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_447]),c_0_514]),c_0_515]) ).
cnf(c_0_662,negated_conjecture,
( epred23_0
| epred15_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_516,c_0_517]) ).
cnf(c_0_663,negated_conjecture,
( epred20_0
| ~ c3_1(a692)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_518]),c_0_220]) ).
cnf(c_0_664,negated_conjecture,
( epred3_0
| c0_1(a708)
| hskp6
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_209]),c_0_211]) ).
cnf(c_0_665,negated_conjecture,
( epred18_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_424]),c_0_422]),c_0_423]) ).
cnf(c_0_666,negated_conjecture,
( epred15_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_360]),c_0_395]),c_0_361]) ).
cnf(c_0_667,negated_conjecture,
( epred10_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_160]),c_0_417]),c_0_416]) ).
cnf(c_0_668,negated_conjecture,
( epred4_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_197]),c_0_521]),c_0_522]) ).
cnf(c_0_669,negated_conjecture,
( epred32_0
| c0_1(X1)
| hskp4
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_400]),c_0_147])]) ).
cnf(c_0_670,negated_conjecture,
( epred29_0
| epred4_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_523]),c_0_395]) ).
cnf(c_0_671,negated_conjecture,
( ~ epred62_0
| ~ epred57_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_524,c_0_263]),c_0_154]),c_0_340]) ).
cnf(c_0_672,negated_conjecture,
( ~ epred62_0
| ~ epred61_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_525,c_0_267]),c_0_340]),c_0_173]) ).
cnf(c_0_673,negated_conjecture,
( ~ epred60_0
| ~ epred34_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_526,c_0_389]),c_0_224]),c_0_142]) ).
cnf(c_0_674,negated_conjecture,
( ~ epred59_0
| ~ epred34_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_527,c_0_390]),c_0_144]),c_0_142]) ).
cnf(c_0_675,negated_conjecture,
( ~ epred58_0
| ~ epred55_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_528,c_0_314]),c_0_230]),c_0_143]) ).
cnf(c_0_676,negated_conjecture,
( ~ epred55_0
| ~ epred29_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_529,c_0_314]),c_0_148]),c_0_225]) ).
cnf(c_0_677,negated_conjecture,
( ~ epred53_0
| ~ epred52_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_530,c_0_263]),c_0_172]),c_0_420]) ).
cnf(c_0_678,negated_conjecture,
( ~ epred48_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_531,c_0_379]),c_0_173]) ).
cnf(c_0_679,negated_conjecture,
( ~ epred47_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_532,c_0_349]),c_0_421]) ).
cnf(c_0_680,negated_conjecture,
( ~ epred46_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_533,c_0_383]),c_0_426]) ).
cnf(c_0_681,negated_conjecture,
( ~ epred45_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_534,c_0_365]),c_0_421]) ).
cnf(c_0_682,negated_conjecture,
( ~ epred44_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_535,c_0_350]),c_0_173]) ).
cnf(c_0_683,negated_conjecture,
( ~ epred43_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_536,c_0_385]),c_0_316]) ).
cnf(c_0_684,negated_conjecture,
( ~ epred41_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_537,c_0_386]),c_0_310]) ).
cnf(c_0_685,negated_conjecture,
( ~ epred39_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_538,c_0_387]),c_0_421]) ).
cnf(c_0_686,negated_conjecture,
( ~ epred37_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_539,c_0_388]),c_0_173]) ).
cnf(c_0_687,negated_conjecture,
( ~ epred34_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_540,c_0_371]),c_0_142]) ).
cnf(c_0_688,negated_conjecture,
( ~ epred31_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_541,c_0_262]),c_0_171]) ).
cnf(c_0_689,negated_conjecture,
( ~ epred27_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_542,c_0_260]),c_0_225]) ).
cnf(c_0_690,negated_conjecture,
( ~ epred26_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_543,c_0_324]),c_0_224]) ).
cnf(c_0_691,negated_conjecture,
( ~ epred25_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_544,c_0_223]),c_0_311]) ).
cnf(c_0_692,negated_conjecture,
( ~ epred21_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_545,c_0_333]),c_0_224]) ).
cnf(c_0_693,negated_conjecture,
( ~ epred20_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_546,c_0_303]),c_0_425]) ).
cnf(c_0_694,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_547,c_0_304]),c_0_426]) ).
cnf(c_0_695,negated_conjecture,
( ~ epred16_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_548,c_0_261]),c_0_225]) ).
cnf(c_0_696,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_549,c_0_255]),c_0_224]) ).
cnf(c_0_697,negated_conjecture,
( ~ epred13_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_550,c_0_229]),c_0_144]) ).
cnf(c_0_698,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_551,c_0_293]),c_0_145]) ).
cnf(c_0_699,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_552,c_0_309]),c_0_225]) ).
cnf(c_0_700,negated_conjecture,
( ~ c3_1(a744)
| ~ hskp17 ),
clause105 ).
cnf(c_0_701,negated_conjecture,
( c3_1(a710)
| ~ hskp8 ),
clause74 ).
cnf(c_0_702,negated_conjecture,
( hskp23
| hskp18
| hskp21 ),
clause37 ).
cnf(c_0_703,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_428,c_0_430,c_0_622,c_0_623,c_0_624,c_0_341,c_0_625,c_0_476,c_0_318,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_273,c_0_635,c_0_213,c_0_187,c_0_636,c_0_637,c_0_638,c_0_639,c_0_406,c_0_334,c_0_640,c_0_641,c_0_642,c_0_495,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_439,c_0_648,c_0_649,c_0_307,c_0_440,c_0_650,c_0_238,c_0_651,c_0_652,c_0_653,c_0_654,c_0_335,c_0_655,c_0_403,c_0_656,c_0_657,c_0_658,c_0_184,c_0_326,c_0_659,c_0_218,c_0_660,c_0_661,c_0_206,c_0_227,c_0_336,c_0_246,c_0_216,c_0_662,c_0_217,c_0_663,c_0_664,c_0_665,c_0_666,c_0_287,c_0_517,c_0_667,c_0_332,c_0_288,c_0_250,c_0_222,c_0_668,c_0_381,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_355,c_0_676,c_0_270,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_392,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_275,c_0_490,c_0_220,c_0_158,c_0_416,c_0_415,c_0_423,c_0_354,c_0_190,c_0_211,c_0_359,c_0_296,c_0_149,c_0_163,c_0_162,c_0_161,c_0_183,c_0_182,c_0_177,c_0_511,c_0_700,c_0_369,c_0_496,c_0_366,c_0_515,c_0_514,c_0_279,c_0_242,c_0_348,c_0_167,c_0_202,c_0_361,c_0_395,c_0_155,c_0_353,c_0_178,c_0_199,c_0_508,c_0_189,c_0_701,c_0_298,c_0_506,c_0_159,c_0_456,c_0_210,c_0_358,c_0_512,c_0_244,c_0_507,c_0_505,c_0_475,c_0_241,c_0_195,c_0_702,c_0_208,c_0_139]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN472-1 : 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 17:06:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.57 start to proof: theBenchmark
% 1.57/1.62 % Version : CSE_E---1.5
% 1.57/1.62 % Problem : theBenchmark.p
% 1.57/1.62 % Proof found
% 1.57/1.62 % SZS status Theorem for theBenchmark.p
% 1.57/1.62 % SZS output start Proof
% See solution above
% 1.62/1.65 % Total time : 1.037000 s
% 1.62/1.65 % SZS output end Proof
% 1.62/1.65 % Total time : 1.043000 s
%------------------------------------------------------------------------------