TSTP Solution File: SYN471-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN471-1 : 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 : n029.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 01:52:11 EDT 2023
% Result : Unsatisfiable 1.31s 1.39s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 298
% Syntax : Number of formulae : 926 ( 2 unt; 121 typ; 0 def)
% Number of atoms : 3039 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3527 (1293 ~;2191 |; 0 &)
% ( 43 <=>; 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 : 90 ( 89 usr; 86 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 269 ( 0 sgn; 43 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp9: $o ).
tff(decl_23,type,
hskp24: $o ).
tff(decl_24,type,
hskp31: $o ).
tff(decl_25,type,
ndr1_0: $o ).
tff(decl_26,type,
hskp30: $o ).
tff(decl_27,type,
hskp29: $o ).
tff(decl_28,type,
hskp28: $o ).
tff(decl_29,type,
hskp27: $o ).
tff(decl_30,type,
hskp26: $o ).
tff(decl_31,type,
hskp25: $o ).
tff(decl_32,type,
hskp23: $o ).
tff(decl_33,type,
hskp22: $o ).
tff(decl_34,type,
hskp21: $o ).
tff(decl_35,type,
hskp20: $o ).
tff(decl_36,type,
hskp19: $o ).
tff(decl_37,type,
hskp18: $o ).
tff(decl_38,type,
hskp17: $o ).
tff(decl_39,type,
hskp16: $o ).
tff(decl_40,type,
hskp15: $o ).
tff(decl_41,type,
hskp14: $o ).
tff(decl_42,type,
hskp13: $o ).
tff(decl_43,type,
hskp12: $o ).
tff(decl_44,type,
hskp11: $o ).
tff(decl_45,type,
hskp10: $o ).
tff(decl_46,type,
hskp8: $o ).
tff(decl_47,type,
hskp7: $o ).
tff(decl_48,type,
hskp6: $o ).
tff(decl_49,type,
hskp5: $o ).
tff(decl_50,type,
hskp4: $o ).
tff(decl_51,type,
hskp3: $o ).
tff(decl_52,type,
hskp2: $o ).
tff(decl_53,type,
hskp1: $o ).
tff(decl_54,type,
hskp0: $o ).
tff(decl_55,type,
a672: $i ).
tff(decl_56,type,
c0_1: $i > $o ).
tff(decl_57,type,
c2_1: $i > $o ).
tff(decl_58,type,
c3_1: $i > $o ).
tff(decl_59,type,
a637: $i ).
tff(decl_60,type,
c1_1: $i > $o ).
tff(decl_61,type,
a618: $i ).
tff(decl_62,type,
a595: $i ).
tff(decl_63,type,
a656: $i ).
tff(decl_64,type,
a651: $i ).
tff(decl_65,type,
a645: $i ).
tff(decl_66,type,
a631: $i ).
tff(decl_67,type,
a630: $i ).
tff(decl_68,type,
a627: $i ).
tff(decl_69,type,
a625: $i ).
tff(decl_70,type,
a624: $i ).
tff(decl_71,type,
a620: $i ).
tff(decl_72,type,
a619: $i ).
tff(decl_73,type,
a615: $i ).
tff(decl_74,type,
a614: $i ).
tff(decl_75,type,
a609: $i ).
tff(decl_76,type,
a608: $i ).
tff(decl_77,type,
a605: $i ).
tff(decl_78,type,
a604: $i ).
tff(decl_79,type,
a603: $i ).
tff(decl_80,type,
a602: $i ).
tff(decl_81,type,
a600: $i ).
tff(decl_82,type,
a599: $i ).
tff(decl_83,type,
a597: $i ).
tff(decl_84,type,
a596: $i ).
tff(decl_85,type,
a594: $i ).
tff(decl_86,type,
a593: $i ).
tff(decl_87,type,
a690: $i ).
tff(decl_88,type,
a667: $i ).
tff(decl_89,type,
a644: $i ).
tff(decl_90,type,
a598: $i ).
tff(decl_91,type,
epred1_0: $o ).
tff(decl_92,type,
epred2_0: $o ).
tff(decl_93,type,
epred3_0: $o ).
tff(decl_94,type,
epred4_0: $o ).
tff(decl_95,type,
epred5_0: $o ).
tff(decl_96,type,
epred6_0: $o ).
tff(decl_97,type,
epred7_0: $o ).
tff(decl_98,type,
epred8_0: $o ).
tff(decl_99,type,
epred9_0: $o ).
tff(decl_100,type,
epred10_0: $o ).
tff(decl_101,type,
epred11_0: $o ).
tff(decl_102,type,
epred12_0: $o ).
tff(decl_103,type,
epred13_0: $o ).
tff(decl_104,type,
epred14_0: $o ).
tff(decl_105,type,
epred15_0: $o ).
tff(decl_106,type,
epred16_0: $o ).
tff(decl_107,type,
epred17_0: $o ).
tff(decl_108,type,
epred18_0: $o ).
tff(decl_109,type,
epred19_0: $o ).
tff(decl_110,type,
epred20_0: $o ).
tff(decl_111,type,
epred21_0: $o ).
tff(decl_112,type,
epred22_0: $o ).
tff(decl_113,type,
epred23_0: $o ).
tff(decl_114,type,
epred24_0: $o ).
tff(decl_115,type,
epred25_0: $o ).
tff(decl_116,type,
epred26_0: $o ).
tff(decl_117,type,
epred27_0: $o ).
tff(decl_118,type,
epred28_0: $o ).
tff(decl_119,type,
epred29_0: $o ).
tff(decl_120,type,
epred30_0: $o ).
tff(decl_121,type,
epred31_0: $o ).
tff(decl_122,type,
epred32_0: $o ).
tff(decl_123,type,
epred33_0: $o ).
tff(decl_124,type,
epred34_0: $o ).
tff(decl_125,type,
epred35_0: $o ).
tff(decl_126,type,
epred36_0: $o ).
tff(decl_127,type,
epred37_0: $o ).
tff(decl_128,type,
epred38_0: $o ).
tff(decl_129,type,
epred39_0: $o ).
tff(decl_130,type,
epred40_0: $o ).
tff(decl_131,type,
epred41_0: $o ).
tff(decl_132,type,
epred42_0: $o ).
tff(decl_133,type,
epred43_0: $o ).
tff(decl_134,type,
epred44_0: $o ).
tff(decl_135,type,
epred45_0: $o ).
tff(decl_136,type,
epred46_0: $o ).
tff(decl_137,type,
epred47_0: $o ).
tff(decl_138,type,
epred48_0: $o ).
tff(decl_139,type,
epred49_0: $o ).
tff(decl_140,type,
epred50_0: $o ).
tff(decl_141,type,
epred51_0: $o ).
tff(decl_142,type,
epred52_0: $o ).
cnf(clause24,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
cnf(clause1,negated_conjecture,
( hskp9
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause9,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(clause88,negated_conjecture,
( c1_1(a594)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause87,negated_conjecture,
( c0_1(a594)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause135,negated_conjecture,
( ~ c3_1(a594)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause60,negated_conjecture,
( c3_1(a631)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause59,negated_conjecture,
( c0_1(a631)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause103,negated_conjecture,
( ~ c1_1(a631)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause94,negated_conjecture,
( ~ c1_1(a667)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause93,negated_conjecture,
( ~ c0_1(a667)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause95,negated_conjecture,
( ~ c3_1(a667)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause37,negated_conjecture,
( hskp1
| hskp21
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause49,negated_conjecture,
( c1_1(a618)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause48,negated_conjecture,
( c0_1(a618)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause50,negated_conjecture,
( c3_1(a618)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause84,negated_conjecture,
( c1_1(a597)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause85,negated_conjecture,
( c2_1(a597)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause132,negated_conjecture,
( ~ c3_1(a597)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause46,negated_conjecture,
( c1_1(a637)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause45,negated_conjecture,
( c0_1(a637)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause47,negated_conjecture,
( c2_1(a637)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause34,negated_conjecture,
( hskp30
| hskp3
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause147,negated_conjecture,
( c3_1(X1)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
cnf(clause64,negated_conjecture,
( c3_1(a625)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause107,negated_conjecture,
( ~ c0_1(a625)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause108,negated_conjecture,
( ~ c1_1(a625)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause130,negated_conjecture,
( ~ c1_1(a598)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause129,negated_conjecture,
( ~ c0_1(a598)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause131,negated_conjecture,
( ~ c2_1(a598)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause70,negated_conjecture,
( c2_1(a615)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause69,negated_conjecture,
( c0_1(a615)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause114,negated_conjecture,
( ~ c1_1(a615)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause75,negated_conjecture,
( c2_1(a605)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause74,negated_conjecture,
( c0_1(a605)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause121,negated_conjecture,
( ~ c3_1(a605)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause174,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp29
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause175,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause180,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
cnf(clause72,negated_conjecture,
( c2_1(a609)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause118,negated_conjecture,
( ~ c3_1(a609)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause117,negated_conjecture,
( ~ c1_1(a609)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause40,negated_conjecture,
( hskp10
| hskp12
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause184,negated_conjecture,
( c0_1(X2)
| hskp29
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause169,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause167,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause185,negated_conjecture,
( c2_1(X2)
| hskp18
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause148,negated_conjecture,
( c3_1(X1)
| hskp25
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
cnf(clause92,negated_conjecture,
( ~ c3_1(a690)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause91,negated_conjecture,
( ~ c2_1(a690)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause179,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| hskp18
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause54,negated_conjecture,
( c1_1(a656)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause96,negated_conjecture,
( ~ c0_1(a656)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause116,negated_conjecture,
( ~ c3_1(a614)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause115,negated_conjecture,
( ~ c2_1(a614)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause71,negated_conjecture,
( c1_1(a614)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause57,negated_conjecture,
( c3_1(a651)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause97,negated_conjecture,
( ~ c2_1(a651)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause56,negated_conjecture,
( c1_1(a651)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause76,negated_conjecture,
( c1_1(a604)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause77,negated_conjecture,
( c2_1(a604)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause122,negated_conjecture,
( ~ c0_1(a604)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause195,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
cnf(clause90,negated_conjecture,
( ~ c1_1(a690)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause41,negated_conjecture,
( hskp3
| hskp13
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause44,negated_conjecture,
( c3_1(a672)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause42,negated_conjecture,
( c0_1(a672)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause43,negated_conjecture,
( c2_1(a672)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause36,negated_conjecture,
( hskp1
| hskp31
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause55,negated_conjecture,
( c3_1(a656)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause51,negated_conjecture,
( c1_1(a595)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause52,negated_conjecture,
( c2_1(a595)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause53,negated_conjecture,
( c3_1(a595)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause58,negated_conjecture,
( c3_1(a645)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause98,negated_conjecture,
( ~ c0_1(a645)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause188,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
cnf(clause193,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
cnf(clause83,negated_conjecture,
( c3_1(a599)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause128,negated_conjecture,
( ~ c1_1(a599)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause82,negated_conjecture,
( c2_1(a599)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause99,negated_conjecture,
( ~ c2_1(a645)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause39,negated_conjecture,
( hskp10
| hskp9
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause170,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause35,negated_conjecture,
( hskp29
| hskp25
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause189,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
cnf(clause194,negated_conjecture,
( c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause62,negated_conjecture,
( c3_1(a630)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause61,negated_conjecture,
( c0_1(a630)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause104,negated_conjecture,
( ~ c2_1(a630)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause134,negated_conjecture,
( ~ c1_1(a596)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause86,negated_conjecture,
( c2_1(a596)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause133,negated_conjecture,
( ~ c0_1(a596)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause196,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
cnf(clause137,negated_conjecture,
( ~ c3_1(a593)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause89,negated_conjecture,
( c2_1(a593)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause136,negated_conjecture,
( ~ c0_1(a593)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause200,negated_conjecture,
( c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
cnf(clause199,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
cnf(clause152,negated_conjecture,
( c1_1(X1)
| hskp13
| hskp12
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause140,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause143,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp28
| hskp7
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause145,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp19
| hskp7
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause156,negated_conjecture,
( c2_1(X1)
| hskp29
| hskp6
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause158,negated_conjecture,
( c3_1(X1)
| hskp28
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(clause157,negated_conjecture,
( c2_1(X1)
| hskp10
| hskp5
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause81,negated_conjecture,
( c3_1(a600)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause127,negated_conjecture,
( ~ c2_1(a600)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause126,negated_conjecture,
( ~ c1_1(a600)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause176,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp9
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause38,negated_conjecture,
( hskp10
| hskp28
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause192,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
cnf(clause190,negated_conjecture,
( c0_1(X1)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| c0_1(X2)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause80,negated_conjecture,
( c3_1(a602)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause106,negated_conjecture,
( ~ c3_1(a627)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause63,negated_conjecture,
( c0_1(a627)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause105,negated_conjecture,
( ~ c2_1(a627)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause66,negated_conjecture,
( c1_1(a624)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause65,negated_conjecture,
( c0_1(a624)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause109,negated_conjecture,
( ~ c2_1(a624)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause73,negated_conjecture,
( c1_1(a608)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause119,negated_conjecture,
( ~ c0_1(a608)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause120,negated_conjecture,
( ~ c3_1(a608)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause79,negated_conjecture,
( c2_1(a602)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause125,negated_conjecture,
( ~ c0_1(a602)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause198,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
cnf(clause187,negated_conjecture,
( c3_1(X2)
| hskp17
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
cnf(clause186,negated_conjecture,
( c3_1(X2)
| hskp24
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause177,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause178,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause168,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp7
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause173,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp20
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause164,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause166,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(c_0_134,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
clause24 ).
cnf(c_0_135,negated_conjecture,
( hskp9
| hskp24 ),
clause1 ).
cnf(c_0_136,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
clause9 ).
fof(c_0_137,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_138,plain,
( ~ epred9_0
<=> ! [X2] :
( hskp29
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
fof(c_0_140,plain,
( ~ epred20_0
<=> ! [X1] :
( hskp1
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_141,plain,
( ~ epred22_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_142,plain,
( ~ epred2_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
( epred19_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_137]) ).
cnf(c_0_144,negated_conjecture,
( c1_1(a594)
| ~ hskp1 ),
clause88 ).
cnf(c_0_145,negated_conjecture,
( c0_1(a594)
| ~ hskp1 ),
clause87 ).
cnf(c_0_146,negated_conjecture,
( epred9_0
| c3_1(X1)
| c2_1(X1)
| hskp29
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_139])]) ).
cnf(c_0_147,negated_conjecture,
( ~ c3_1(a594)
| ~ hskp1 ),
clause135 ).
cnf(c_0_148,negated_conjecture,
( epred20_0
| c1_1(X1)
| hskp1
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_139])]) ).
cnf(c_0_149,negated_conjecture,
( c3_1(a631)
| ~ hskp21 ),
clause60 ).
cnf(c_0_150,negated_conjecture,
( c0_1(a631)
| ~ hskp21 ),
clause59 ).
cnf(c_0_151,negated_conjecture,
( ~ c1_1(a631)
| ~ hskp21 ),
clause103 ).
fof(c_0_152,plain,
( ~ epred10_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_153,negated_conjecture,
( ~ c1_1(a667)
| ~ hskp26 ),
clause94 ).
cnf(c_0_154,negated_conjecture,
( epred22_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_141]) ).
cnf(c_0_155,negated_conjecture,
( ~ c0_1(a667)
| ~ hskp26 ),
clause93 ).
cnf(c_0_156,negated_conjecture,
( ~ c3_1(a667)
| ~ hskp26 ),
clause95 ).
cnf(c_0_157,negated_conjecture,
( epred2_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_142]) ).
fof(c_0_158,plain,
( ~ epred21_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_159,plain,
( ~ epred35_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_160,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_161,negated_conjecture,
( epred19_0
| ~ c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).
cnf(c_0_162,negated_conjecture,
( epred9_0
| c2_1(a594)
| hskp29
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_145]),c_0_147]) ).
cnf(c_0_163,negated_conjecture,
( epred20_0
| hskp1
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_151]) ).
cnf(c_0_164,negated_conjecture,
( hskp1
| hskp21
| hskp4 ),
clause37 ).
cnf(c_0_165,negated_conjecture,
( epred10_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_152]) ).
fof(c_0_166,plain,
( ~ epred36_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_167,negated_conjecture,
( epred22_0
| ~ c2_1(a667)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_168,negated_conjecture,
( epred2_0
| c2_1(a667)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_155]) ).
cnf(c_0_169,negated_conjecture,
( epred21_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_158]) ).
cnf(c_0_170,negated_conjecture,
( epred35_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_159]),c_0_139])]) ).
fof(c_0_171,plain,
( ~ epred43_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_172,negated_conjecture,
( epred29_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_160]) ).
cnf(c_0_173,negated_conjecture,
( c1_1(a618)
| ~ hskp29 ),
clause49 ).
cnf(c_0_174,negated_conjecture,
( c0_1(a618)
| ~ hskp29 ),
clause48 ).
cnf(c_0_175,negated_conjecture,
( c3_1(a618)
| ~ hskp29 ),
clause50 ).
cnf(c_0_176,negated_conjecture,
( epred19_0
| epred9_0
| hskp29
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_177,negated_conjecture,
( epred20_0
| hskp1
| hskp4 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_178,negated_conjecture,
( epred10_0
| c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_144]),c_0_145]) ).
cnf(c_0_179,negated_conjecture,
( epred36_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_166]) ).
cnf(c_0_180,negated_conjecture,
( c1_1(a597)
| ~ hskp3 ),
clause84 ).
cnf(c_0_181,negated_conjecture,
( c2_1(a597)
| ~ hskp3 ),
clause85 ).
cnf(c_0_182,negated_conjecture,
( ~ c3_1(a597)
| ~ hskp3 ),
clause132 ).
cnf(c_0_183,negated_conjecture,
( c1_1(a637)
| ~ hskp30 ),
clause46 ).
cnf(c_0_184,negated_conjecture,
( c0_1(a637)
| ~ hskp30 ),
clause45 ).
cnf(c_0_185,negated_conjecture,
( c2_1(a637)
| ~ hskp30 ),
clause47 ).
cnf(c_0_186,negated_conjecture,
( epred22_0
| epred2_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_187,negated_conjecture,
( hskp30
| hskp3
| hskp26 ),
clause34 ).
cnf(c_0_188,negated_conjecture,
( epred35_0
| epred21_0
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
fof(c_0_189,plain,
( ~ epred17_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_190,plain,
( ~ epred32_0
<=> ! [X2] :
( hskp12
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_191,negated_conjecture,
( c3_1(X1)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause147 ).
cnf(c_0_192,negated_conjecture,
( epred43_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_171]) ).
cnf(c_0_193,negated_conjecture,
( c3_1(a625)
| ~ hskp18 ),
clause64 ).
cnf(c_0_194,negated_conjecture,
( ~ c0_1(a625)
| ~ hskp18 ),
clause107 ).
cnf(c_0_195,negated_conjecture,
( ~ c1_1(a625)
| ~ hskp18 ),
clause108 ).
cnf(c_0_196,negated_conjecture,
( ~ c1_1(a598)
| ~ hskp4 ),
clause130 ).
cnf(c_0_197,negated_conjecture,
( ~ c0_1(a598)
| ~ hskp4 ),
clause129 ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a598)
| ~ hskp4 ),
clause131 ).
cnf(c_0_199,negated_conjecture,
( epred29_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]) ).
cnf(c_0_200,negated_conjecture,
( epred20_0
| epred19_0
| epred9_0
| hskp4
| hskp29 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_201,negated_conjecture,
( epred19_0
| epred10_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_161,c_0_178]) ).
cnf(c_0_202,negated_conjecture,
( epred36_0
| c2_1(a667)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_179]),c_0_155]) ).
cnf(c_0_203,negated_conjecture,
( epred19_0
| ~ c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_180]),c_0_181]) ).
cnf(c_0_204,negated_conjecture,
( epred21_0
| c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_180]),c_0_182]) ).
cnf(c_0_205,negated_conjecture,
( epred19_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_183]),c_0_184]),c_0_185]) ).
cnf(c_0_206,negated_conjecture,
( epred22_0
| epred2_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_207,negated_conjecture,
( epred35_0
| epred21_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_188]),c_0_155]) ).
cnf(c_0_208,negated_conjecture,
( epred35_0
| epred21_0
| c0_1(a597)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_182,c_0_188]) ).
cnf(c_0_209,negated_conjecture,
( epred17_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_189]) ).
fof(c_0_210,plain,
( ~ epred28_0
<=> ! [X2] :
( hskp18
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_211,negated_conjecture,
( epred32_0
| c1_1(X1)
| hskp12
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_190]),c_0_139])]) ).
cnf(c_0_212,negated_conjecture,
( c2_1(a615)
| ~ hskp14 ),
clause70 ).
cnf(c_0_213,negated_conjecture,
( c0_1(a615)
| ~ hskp14 ),
clause69 ).
cnf(c_0_214,negated_conjecture,
( ~ c1_1(a615)
| ~ hskp14 ),
clause114 ).
cnf(c_0_215,negated_conjecture,
( c3_1(X1)
| hskp14
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_139])]) ).
cnf(c_0_216,negated_conjecture,
( c2_1(a605)
| ~ hskp10 ),
clause75 ).
cnf(c_0_217,negated_conjecture,
( c0_1(a605)
| ~ hskp10 ),
clause74 ).
cnf(c_0_218,negated_conjecture,
( ~ c3_1(a605)
| ~ hskp10 ),
clause121 ).
cnf(c_0_219,negated_conjecture,
( epred43_0
| ~ c2_1(a625)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_220,negated_conjecture,
( epred36_0
| c2_1(a625)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_179]),c_0_194]) ).
cnf(c_0_221,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp29
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause174 ).
cnf(c_0_222,negated_conjecture,
( epred36_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_179]),c_0_197]),c_0_198]) ).
cnf(c_0_223,negated_conjecture,
( epred29_0
| epred20_0
| epred19_0
| epred9_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_224,negated_conjecture,
( epred20_0
| epred19_0
| epred10_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_201,c_0_177]) ).
cnf(c_0_225,negated_conjecture,
( epred36_0
| epred22_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_167,c_0_202]) ).
cnf(c_0_226,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 ),
clause175 ).
cnf(c_0_227,negated_conjecture,
( epred21_0
| epred19_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_228,negated_conjecture,
( epred22_0
| epred19_0
| epred2_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_229,negated_conjecture,
( epred35_0
| epred21_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_207,c_0_187]) ).
cnf(c_0_230,negated_conjecture,
( epred35_0
| epred21_0
| epred19_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_203,c_0_208]) ).
cnf(c_0_231,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause180 ).
fof(c_0_232,plain,
( ~ epred6_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_233,negated_conjecture,
( epred19_0
| ~ c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_173]),c_0_174]) ).
cnf(c_0_234,negated_conjecture,
( epred17_0
| c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_175]),c_0_174]) ).
cnf(c_0_235,negated_conjecture,
( epred28_0
| c1_1(X1)
| c3_1(X1)
| hskp18
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_139])]) ).
cnf(c_0_236,negated_conjecture,
( c2_1(a609)
| ~ hskp12 ),
clause72 ).
cnf(c_0_237,negated_conjecture,
( ~ c3_1(a609)
| ~ hskp12 ),
clause118 ).
cnf(c_0_238,negated_conjecture,
( ~ c1_1(a609)
| ~ hskp12 ),
clause117 ).
cnf(c_0_239,negated_conjecture,
( epred32_0
| hskp12
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_214]) ).
cnf(c_0_240,negated_conjecture,
( hskp14
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]),c_0_218]) ).
cnf(c_0_241,negated_conjecture,
( epred43_0
| epred36_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_242,negated_conjecture,
( hskp10
| hskp12
| hskp18 ),
clause40 ).
fof(c_0_243,plain,
( ~ epred38_0
<=> ! [X2] :
( hskp29
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_244,negated_conjecture,
( c0_1(X2)
| hskp29
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause184 ).
cnf(c_0_245,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_221,c_0_138]),c_0_152]) ).
cnf(c_0_246,negated_conjecture,
( epred36_0
| epred29_0
| epred20_0
| epred19_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_247,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_224]) ).
cnf(c_0_248,negated_conjecture,
( epred36_0
| epred22_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_225,c_0_187]) ).
cnf(c_0_249,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226,c_0_159]),c_0_166]),c_0_142]) ).
cnf(c_0_250,negated_conjecture,
( epred22_0
| epred21_0
| epred19_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_251,negated_conjecture,
( epred35_0
| epred21_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_229]),c_0_230]) ).
cnf(c_0_252,negated_conjecture,
( ~ epred32_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_231,c_0_190]),c_0_152]) ).
fof(c_0_253,plain,
( ~ epred14_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_254,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_232]) ).
cnf(c_0_255,negated_conjecture,
( epred19_0
| epred17_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_256,negated_conjecture,
( epred28_0
| hskp18
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_238]) ).
cnf(c_0_257,negated_conjecture,
( epred32_0
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_258,negated_conjecture,
( epred43_0
| epred36_0
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_259,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause169 ).
cnf(c_0_260,negated_conjecture,
( ~ epred38_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_244,c_0_243]),c_0_137]) ).
cnf(c_0_261,negated_conjecture,
( epred36_0
| epred29_0
| epred20_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).
cnf(c_0_262,negated_conjecture,
( epred36_0
| epred22_0
| epred19_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_205,c_0_248]) ).
cnf(c_0_263,negated_conjecture,
( epred22_0
| epred21_0
| epred19_0
| ~ epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_264,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause167 ).
cnf(c_0_265,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| ~ epred32_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_247]) ).
fof(c_0_266,plain,
( ~ epred39_0
<=> ! [X2] :
( hskp18
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_267,negated_conjecture,
( c2_1(X2)
| hskp18
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
clause185 ).
fof(c_0_268,plain,
( ~ epred31_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_269,negated_conjecture,
( c3_1(X1)
| hskp25
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause148 ).
cnf(c_0_270,negated_conjecture,
( ~ c3_1(a690)
| ~ hskp27 ),
clause92 ).
cnf(c_0_271,negated_conjecture,
( epred14_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_253]) ).
cnf(c_0_272,negated_conjecture,
( ~ c2_1(a690)
| ~ hskp27 ),
clause91 ).
cnf(c_0_273,negated_conjecture,
( epred36_0
| epred6_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_179]) ).
fof(c_0_274,plain,
( ~ epred33_0
<=> ! [X2] :
( hskp10
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_275,plain,
( ~ epred45_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_276,plain,
( ~ epred42_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_277,negated_conjecture,
( epred20_0
| epred19_0
| epred17_0
| epred9_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_255,c_0_200]) ).
cnf(c_0_278,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| hskp18
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause179 ).
cnf(c_0_279,negated_conjecture,
( epred43_0
| epred36_0
| epred28_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_241,c_0_256]) ).
cnf(c_0_280,negated_conjecture,
( epred43_0
| epred36_0
| epred32_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_281,negated_conjecture,
( ~ epred21_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_259,c_0_140]),c_0_158]) ).
cnf(c_0_282,negated_conjecture,
( epred36_0
| epred29_0
| epred20_0
| ~ epred38_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_283,negated_conjecture,
( epred22_0
| epred21_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_262]),c_0_263]) ).
cnf(c_0_284,negated_conjecture,
( ~ epred22_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_264,c_0_140]),c_0_141]) ).
cnf(c_0_285,negated_conjecture,
( epred36_0
| epred20_0
| ~ epred38_0
| ~ epred32_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_265]) ).
cnf(c_0_286,negated_conjecture,
( ~ epred39_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_267,c_0_266]),c_0_137]) ).
cnf(c_0_287,negated_conjecture,
( epred31_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_268]) ).
cnf(c_0_288,negated_conjecture,
( c1_1(a656)
| ~ hskp25 ),
clause54 ).
cnf(c_0_289,negated_conjecture,
( ~ c0_1(a656)
| ~ hskp25 ),
clause96 ).
cnf(c_0_290,negated_conjecture,
( c3_1(X1)
| hskp25
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_139])]) ).
cnf(c_0_291,negated_conjecture,
( ~ c3_1(a614)
| ~ hskp13 ),
clause116 ).
cnf(c_0_292,negated_conjecture,
( ~ c2_1(a614)
| ~ hskp13 ),
clause115 ).
cnf(c_0_293,negated_conjecture,
( epred14_0
| ~ c0_1(a690)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).
cnf(c_0_294,negated_conjecture,
( epred2_0
| c0_1(a690)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_157]),c_0_272]) ).
cnf(c_0_295,negated_conjecture,
( c1_1(a614)
| ~ hskp13 ),
clause71 ).
cnf(c_0_296,negated_conjecture,
( epred36_0
| epred6_0
| c0_1(a690)
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
fof(c_0_297,plain,
( ~ epred11_0
<=> ! [X2] :
( hskp28
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_298,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_299,plain,
( ~ epred8_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_300,plain,
( ~ epred46_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_301,negated_conjecture,
( c3_1(a651)
| ~ hskp24 ),
clause57 ).
cnf(c_0_302,negated_conjecture,
( ~ c2_1(a651)
| ~ hskp24 ),
clause97 ).
cnf(c_0_303,negated_conjecture,
( epred33_0
| c2_1(X1)
| c0_1(X1)
| hskp10
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_274]),c_0_139])]) ).
cnf(c_0_304,negated_conjecture,
( c1_1(a651)
| ~ hskp24 ),
clause56 ).
cnf(c_0_305,negated_conjecture,
( c1_1(a604)
| ~ hskp9 ),
clause76 ).
cnf(c_0_306,negated_conjecture,
( c2_1(a604)
| ~ hskp9 ),
clause77 ).
cnf(c_0_307,negated_conjecture,
( ~ c0_1(a604)
| ~ hskp9 ),
clause122 ).
cnf(c_0_308,negated_conjecture,
( epred45_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_275]) ).
cnf(c_0_309,negated_conjecture,
( epred42_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_276]),c_0_139])]) ).
cnf(c_0_310,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause195 ).
cnf(c_0_311,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| epred17_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_277]) ).
cnf(c_0_312,negated_conjecture,
( ~ epred29_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_278,c_0_210]),c_0_160]) ).
cnf(c_0_313,negated_conjecture,
( epred43_0
| epred36_0
| epred32_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_314,negated_conjecture,
( epred36_0
| epred29_0
| ~ epred38_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_315,negated_conjecture,
( epred22_0
| epred21_0
| ~ epred38_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_283]) ).
cnf(c_0_316,negated_conjecture,
( epred36_0
| epred29_0
| ~ epred38_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_282]) ).
cnf(c_0_317,negated_conjecture,
( epred36_0
| ~ epred38_0
| ~ epred32_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_285]) ).
cnf(c_0_318,negated_conjecture,
( epred36_0
| ~ epred38_0
| ~ epred32_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
fof(c_0_319,plain,
( ~ epred23_0
<=> ! [X2] :
( hskp9
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_320,negated_conjecture,
( epred36_0
| epred29_0
| epred20_0
| ~ epred39_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_261]) ).
cnf(c_0_321,negated_conjecture,
( epred36_0
| epred20_0
| ~ epred39_0
| ~ epred32_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_265]) ).
cnf(c_0_322,negated_conjecture,
( ~ c1_1(a690)
| ~ hskp27 ),
clause90 ).
cnf(c_0_323,negated_conjecture,
( epred31_0
| ~ c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).
cnf(c_0_324,negated_conjecture,
( epred6_0
| c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_288]),c_0_289]) ).
cnf(c_0_325,negated_conjecture,
( hskp25
| ~ c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_181]),c_0_182]) ).
cnf(c_0_326,negated_conjecture,
( epred31_0
| c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_180]),c_0_181]) ).
cnf(c_0_327,negated_conjecture,
( epred14_0
| ~ c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_271]),c_0_292]) ).
cnf(c_0_328,negated_conjecture,
( epred2_0
| c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_157]),c_0_292]) ).
cnf(c_0_329,negated_conjecture,
( epred14_0
| epred2_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_330,negated_conjecture,
( hskp3
| hskp13
| hskp27 ),
clause41 ).
cnf(c_0_331,negated_conjecture,
( epred6_0
| c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_295]),c_0_292]) ).
cnf(c_0_332,negated_conjecture,
( epred36_0
| epred14_0
| epred6_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_293,c_0_296]) ).
cnf(c_0_333,negated_conjecture,
( epred11_0
| c3_1(X1)
| c0_1(X1)
| hskp28
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_297]),c_0_139])]) ).
cnf(c_0_334,negated_conjecture,
( epred35_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_170]),c_0_155]),c_0_156]) ).
fof(c_0_335,plain,
( ~ epred12_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_336,negated_conjecture,
( epred24_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_298]) ).
cnf(c_0_337,negated_conjecture,
( c3_1(a672)
| ~ hskp31 ),
clause44 ).
cnf(c_0_338,negated_conjecture,
( c0_1(a672)
| ~ hskp31 ),
clause42 ).
cnf(c_0_339,negated_conjecture,
( c2_1(a672)
| ~ hskp31 ),
clause43 ).
fof(c_0_340,plain,
( ~ epred52_0
<=> ! [X2] :
( c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_341,negated_conjecture,
( epred8_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_299]) ).
fof(c_0_342,plain,
( ~ epred4_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_343,negated_conjecture,
( epred46_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_300]),c_0_139])]) ).
cnf(c_0_344,negated_conjecture,
( epred17_0
| ~ c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_301]),c_0_302]) ).
cnf(c_0_345,negated_conjecture,
( epred33_0
| c0_1(a651)
| hskp10
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_302]) ).
cnf(c_0_346,negated_conjecture,
( epred31_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_347,negated_conjecture,
( epred45_0
| epred21_0
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_308]) ).
fof(c_0_348,plain,
( ~ epred47_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_349,negated_conjecture,
( epred42_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_309]),c_0_193]),c_0_194]) ).
cnf(c_0_350,negated_conjecture,
( ~ epred43_0
| ~ epred42_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_310,c_0_276]),c_0_189]),c_0_171]) ).
cnf(c_0_351,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_311]),c_0_247]) ).
cnf(c_0_352,negated_conjecture,
( epred43_0
| epred36_0
| epred32_0
| ~ epred29_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_353,negated_conjecture,
( epred36_0
| epred29_0
| ~ epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]) ).
cnf(c_0_354,negated_conjecture,
( epred36_0
| ~ epred38_0
| ~ epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_315]),c_0_318]) ).
fof(c_0_355,plain,
( ~ epred44_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_356,negated_conjecture,
( epred23_0
| c2_1(X1)
| c0_1(X1)
| hskp9
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_319]),c_0_139])]) ).
cnf(c_0_357,negated_conjecture,
( epred36_0
| epred29_0
| ~ epred39_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_320]) ).
cnf(c_0_358,negated_conjecture,
( epred22_0
| epred21_0
| ~ epred39_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_283]) ).
cnf(c_0_359,negated_conjecture,
( epred36_0
| epred29_0
| ~ epred39_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_320]) ).
cnf(c_0_360,negated_conjecture,
( epred36_0
| ~ epred39_0
| ~ epred32_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_321]) ).
cnf(c_0_361,negated_conjecture,
( epred36_0
| ~ epred39_0
| ~ epred32_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_321]) ).
cnf(c_0_362,negated_conjecture,
( epred35_0
| c0_1(a690)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_170]),c_0_270]) ).
cnf(c_0_363,negated_conjecture,
( epred31_0
| epred6_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_364,negated_conjecture,
( epred31_0
| hskp25
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_365,negated_conjecture,
( epred14_0
| epred2_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_366,negated_conjecture,
( epred14_0
| epred2_0
| hskp3
| hskp13 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_367,negated_conjecture,
( epred14_0
| epred6_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_327,c_0_331]) ).
cnf(c_0_368,negated_conjecture,
( epred36_0
| epred14_0
| epred6_0
| hskp3
| hskp13 ),
inference(spm,[status(thm)],[c_0_332,c_0_330]) ).
fof(c_0_369,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_370,negated_conjecture,
( epred11_0
| c0_1(a597)
| hskp28
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_180]),c_0_182]) ).
cnf(c_0_371,negated_conjecture,
( epred35_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_334,c_0_187]) ).
cnf(c_0_372,negated_conjecture,
( epred12_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_335]) ).
cnf(c_0_373,negated_conjecture,
( epred24_0
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_339]) ).
cnf(c_0_374,negated_conjecture,
( hskp1
| hskp31
| hskp24 ),
clause36 ).
cnf(c_0_375,negated_conjecture,
( epred52_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_340]),c_0_139])]) ).
fof(c_0_376,plain,
( ~ epred27_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_377,negated_conjecture,
( epred24_0
| epred8_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_336,c_0_341]) ).
cnf(c_0_378,negated_conjecture,
( epred4_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_342]) ).
cnf(c_0_379,negated_conjecture,
( epred46_0
| ~ c0_1(a690)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_343]),c_0_272]) ).
cnf(c_0_380,negated_conjecture,
( epred33_0
| epred17_0
| hskp10
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_381,negated_conjecture,
( epred31_0
| hskp24 ),
inference(spm,[status(thm)],[c_0_346,c_0_135]) ).
cnf(c_0_382,negated_conjecture,
( epred45_0
| epred21_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_347]),c_0_155]) ).
cnf(c_0_383,negated_conjecture,
( epred45_0
| epred21_0
| c0_1(a597)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_182,c_0_347]) ).
cnf(c_0_384,negated_conjecture,
( epred47_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_348]) ).
fof(c_0_385,plain,
( ~ epred13_0
<=> ! [X2] :
( hskp20
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_386,negated_conjecture,
( epred42_0
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_349,c_0_242]) ).
cnf(c_0_387,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| ~ epred43_0
| ~ epred42_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_351]) ).
cnf(c_0_388,negated_conjecture,
( epred43_0
| epred36_0
| ~ epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]) ).
cnf(c_0_389,negated_conjecture,
( epred44_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_355]),c_0_139])]) ).
cnf(c_0_390,negated_conjecture,
( epred23_0
| c2_1(a656)
| hskp9
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_288]),c_0_289]) ).
cnf(c_0_391,negated_conjecture,
( epred36_0
| epred29_0
| ~ epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).
cnf(c_0_392,negated_conjecture,
( epred36_0
| ~ epred39_0
| ~ epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_358]),c_0_361]) ).
cnf(c_0_393,negated_conjecture,
( epred38_0
| c0_1(X1)
| hskp29
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_243]),c_0_139])]) ).
cnf(c_0_394,negated_conjecture,
( c3_1(a656)
| ~ hskp25 ),
clause55 ).
cnf(c_0_395,negated_conjecture,
( epred35_0
| epred14_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_293,c_0_362]) ).
cnf(c_0_396,negated_conjecture,
( epred31_0
| epred6_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_397,negated_conjecture,
( epred14_0
| epred2_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_398,negated_conjecture,
( epred36_0
| epred14_0
| epred6_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_399,negated_conjecture,
( epred34_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_369]) ).
cnf(c_0_400,negated_conjecture,
( c1_1(a595)
| ~ hskp28 ),
clause51 ).
cnf(c_0_401,negated_conjecture,
( c2_1(a595)
| ~ hskp28 ),
clause52 ).
cnf(c_0_402,negated_conjecture,
( c3_1(a595)
| ~ hskp28 ),
clause53 ).
cnf(c_0_403,negated_conjecture,
( epred19_0
| epred11_0
| hskp28
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_203,c_0_370]) ).
cnf(c_0_404,negated_conjecture,
( epred35_0
| epred19_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_205,c_0_371]) ).
cnf(c_0_405,negated_conjecture,
( epred12_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_304]),c_0_301]),c_0_302]) ).
cnf(c_0_406,negated_conjecture,
( epred24_0
| hskp1
| hskp24 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_407,negated_conjecture,
( epred24_0
| ~ c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_175]),c_0_174]) ).
cnf(c_0_408,negated_conjecture,
( epred12_0
| c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_173]),c_0_175]) ).
cnf(c_0_409,negated_conjecture,
( epred52_0
| epred42_0
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_375,c_0_309]) ).
cnf(c_0_410,negated_conjecture,
( c3_1(a645)
| ~ hskp23 ),
clause58 ).
cnf(c_0_411,negated_conjecture,
( ~ c0_1(a645)
| ~ hskp23 ),
clause98 ).
cnf(c_0_412,negated_conjecture,
( epred27_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_376]) ).
cnf(c_0_413,negated_conjecture,
( epred24_0
| epred8_0
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_339]),c_0_338]) ).
cnf(c_0_414,negated_conjecture,
( epred4_0
| ~ c2_1(a667)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_378]),c_0_155]) ).
cnf(c_0_415,negated_conjecture,
( epred43_0
| epred4_0
| c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_378]) ).
cnf(c_0_416,negated_conjecture,
( epred46_0
| ~ c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_343]),c_0_292]) ).
cnf(c_0_417,negated_conjecture,
( epred46_0
| epred2_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_379,c_0_294]) ).
cnf(c_0_418,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause188 ).
cnf(c_0_419,negated_conjecture,
( epred8_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_341]),c_0_217]),c_0_216]) ).
cnf(c_0_420,negated_conjecture,
( epred33_0
| epred31_0
| epred17_0
| hskp10 ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_421,negated_conjecture,
( epred45_0
| epred21_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_382,c_0_187]) ).
cnf(c_0_422,negated_conjecture,
( epred45_0
| epred21_0
| epred19_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_203,c_0_383]) ).
cnf(c_0_423,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause193 ).
cnf(c_0_424,negated_conjecture,
( epred47_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_425,negated_conjecture,
( epred13_0
| c1_1(X1)
| hskp20
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_139])]) ).
cnf(c_0_426,negated_conjecture,
( c3_1(a599)
| ~ hskp5 ),
clause83 ).
cnf(c_0_427,negated_conjecture,
( ~ c1_1(a599)
| ~ hskp5 ),
clause128 ).
cnf(c_0_428,negated_conjecture,
( c2_1(a599)
| ~ hskp5 ),
clause82 ).
cnf(c_0_429,negated_conjecture,
( ~ c2_1(a645)
| ~ hskp23 ),
clause99 ).
cnf(c_0_430,negated_conjecture,
( epred36_0
| epred33_0
| c2_1(X1)
| c0_1(X1)
| hskp10 ),
inference(spm,[status(thm)],[c_0_303,c_0_179]) ).
cnf(c_0_431,negated_conjecture,
( epred42_0
| epred28_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_349,c_0_256]) ).
cnf(c_0_432,negated_conjecture,
( epred42_0
| epred32_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_257,c_0_386]) ).
cnf(c_0_433,negated_conjecture,
( epred36_0
| epred20_0
| ~ epred42_0
| ~ epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_387]),c_0_388]) ).
cnf(c_0_434,negated_conjecture,
( epred44_0
| c2_1(a625)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_389]),c_0_194]) ).
cnf(c_0_435,negated_conjecture,
( epred31_0
| epred23_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_390]),c_0_346]) ).
cnf(c_0_436,negated_conjecture,
( hskp25
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_216]),c_0_217]),c_0_218]) ).
cnf(c_0_437,negated_conjecture,
( hskp10
| hskp9
| hskp12 ),
clause39 ).
cnf(c_0_438,negated_conjecture,
( epred43_0
| epred36_0
| ~ epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_391]),c_0_392]) ).
cnf(c_0_439,negated_conjecture,
( epred38_0
| hskp29
| ~ c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_289]) ).
cnf(c_0_440,negated_conjecture,
( epred12_0
| c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_288]),c_0_394]) ).
cnf(c_0_441,negated_conjecture,
( epred35_0
| epred14_0
| hskp3
| hskp13 ),
inference(spm,[status(thm)],[c_0_395,c_0_330]) ).
cnf(c_0_442,negated_conjecture,
( epred31_0
| epred14_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_443,negated_conjecture,
( epred36_0
| epred31_0
| epred14_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_398]) ).
cnf(c_0_444,negated_conjecture,
( epred6_0
| c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_304]),c_0_302]) ).
cnf(c_0_445,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause170 ).
cnf(c_0_446,negated_conjecture,
( epred34_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_401]),c_0_402]) ).
cnf(c_0_447,negated_conjecture,
( epred35_0
| epred19_0
| epred11_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_448,negated_conjecture,
( epred24_0
| epred12_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_449,negated_conjecture,
( epred24_0
| epred12_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
fof(c_0_450,plain,
( ~ epred37_0
<=> ! [X2] :
( hskp24
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_451,negated_conjecture,
( epred52_0
| epred42_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_394]),c_0_289]) ).
cnf(c_0_452,negated_conjecture,
( epred52_0
| epred42_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_193]),c_0_194]) ).
cnf(c_0_453,negated_conjecture,
( epred52_0
| epred42_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411]) ).
cnf(c_0_454,negated_conjecture,
( hskp29
| hskp25
| hskp23 ),
clause35 ).
cnf(c_0_455,negated_conjecture,
( epred27_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_144]),c_0_145]),c_0_147]) ).
cnf(c_0_456,negated_conjecture,
( epred34_0
| ~ c3_1(a637)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_183]),c_0_185]) ).
cnf(c_0_457,negated_conjecture,
( epred27_0
| c3_1(a637)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_183]),c_0_184]) ).
cnf(c_0_458,negated_conjecture,
( epred8_0
| ~ c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_341]),c_0_145]) ).
cnf(c_0_459,negated_conjecture,
( epred24_0
| epred8_0
| hskp1
| hskp24 ),
inference(spm,[status(thm)],[c_0_413,c_0_374]) ).
fof(c_0_460,plain,
( ~ epred7_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_461,negated_conjecture,
( epred8_0
| ~ c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_341]),c_0_181]) ).
cnf(c_0_462,negated_conjecture,
( epred4_0
| epred2_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_414,c_0_168]) ).
cnf(c_0_463,negated_conjecture,
( epred43_0
| epred4_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_306]),c_0_307]) ).
cnf(c_0_464,negated_conjecture,
( epred46_0
| epred2_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_416,c_0_328]) ).
cnf(c_0_465,negated_conjecture,
( epred46_0
| epred2_0
| hskp3
| hskp13 ),
inference(spm,[status(thm)],[c_0_417,c_0_330]) ).
cnf(c_0_466,negated_conjecture,
( ~ epred42_0
| ~ epred36_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_418,c_0_276]),c_0_166]),c_0_299]) ).
cnf(c_0_467,negated_conjecture,
( epred33_0
| epred31_0
| epred17_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_468,negated_conjecture,
( epred45_0
| epred21_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_421]),c_0_422]) ).
cnf(c_0_469,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause189 ).
cnf(c_0_470,negated_conjecture,
( ~ epred46_0
| ~ epred19_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_423,c_0_300]),c_0_142]),c_0_137]) ).
cnf(c_0_471,negated_conjecture,
( epred47_0
| epred14_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_424,c_0_397]) ).
cnf(c_0_472,negated_conjecture,
( c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause194 ).
cnf(c_0_473,negated_conjecture,
( epred31_0
| epred19_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_203,c_0_326]) ).
fof(c_0_474,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp11
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_475,negated_conjecture,
( c3_1(a630)
| ~ hskp20 ),
clause62 ).
cnf(c_0_476,negated_conjecture,
( c0_1(a630)
| ~ hskp20 ),
clause61 ).
cnf(c_0_477,negated_conjecture,
( ~ c2_1(a630)
| ~ hskp20 ),
clause104 ).
cnf(c_0_478,negated_conjecture,
( epred13_0
| hskp20
| ~ c0_1(a599)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]) ).
cnf(c_0_479,negated_conjecture,
( epred38_0
| c0_1(a599)
| hskp29
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_426]),c_0_428]) ).
cnf(c_0_480,negated_conjecture,
( epred36_0
| epred33_0
| hskp10
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_411]) ).
cnf(c_0_481,negated_conjecture,
( epred42_0
| epred32_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_482,negated_conjecture,
( epred36_0
| ~ epred42_0
| ~ epred38_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_433]) ).
cnf(c_0_483,negated_conjecture,
( epred36_0
| ~ epred42_0
| ~ epred38_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_433]) ).
cnf(c_0_484,negated_conjecture,
( epred44_0
| epred43_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_219,c_0_434]) ).
fof(c_0_485,plain,
( ~ epred30_0
<=> ! [X1] :
( hskp13
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_486,negated_conjecture,
( epred31_0
| epred23_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_487,negated_conjecture,
( epred31_0
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_346,c_0_437]) ).
cnf(c_0_488,negated_conjecture,
( epred36_0
| epred20_0
| ~ epred42_0
| ~ epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_387]),c_0_438]) ).
cnf(c_0_489,negated_conjecture,
( epred38_0
| epred12_0
| hskp29
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_439,c_0_440]) ).
cnf(c_0_490,negated_conjecture,
( ~ c1_1(a596)
| ~ hskp2 ),
clause134 ).
cnf(c_0_491,negated_conjecture,
( c2_1(a596)
| ~ hskp2 ),
clause86 ).
cnf(c_0_492,negated_conjecture,
( ~ c0_1(a596)
| ~ hskp2 ),
clause133 ).
cnf(c_0_493,negated_conjecture,
( epred19_0
| ~ c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_400]),c_0_401]) ).
cnf(c_0_494,negated_conjecture,
( epred38_0
| c0_1(a595)
| hskp29
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_402]),c_0_401]) ).
fof(c_0_495,plain,
( ~ epred48_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_496,negated_conjecture,
( c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X3) ),
clause196 ).
cnf(c_0_497,negated_conjecture,
( epred35_0
| epred14_0
| epred6_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_367,c_0_441]) ).
cnf(c_0_498,negated_conjecture,
( epred31_0
| epred14_0
| epred6_0
| ~ epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_442]),c_0_443]) ).
cnf(c_0_499,negated_conjecture,
( epred17_0
| epred6_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_344,c_0_444]) ).
cnf(c_0_500,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_445,c_0_297]),c_0_335]) ).
cnf(c_0_501,negated_conjecture,
( epred35_0
| epred34_0
| epred19_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_502,negated_conjecture,
( epred24_0
| epred19_0
| epred12_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_448]),c_0_449]) ).
cnf(c_0_503,negated_conjecture,
( epred24_0
| epred19_0
| epred12_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_448]) ).
cnf(c_0_504,negated_conjecture,
( epred47_0
| c3_1(a637)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_183]),c_0_185]) ).
cnf(c_0_505,negated_conjecture,
( epred37_0
| c3_1(X1)
| hskp24
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_450]),c_0_139])]) ).
cnf(c_0_506,negated_conjecture,
( epred8_0
| ~ c0_1(a609)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_341]),c_0_236]) ).
cnf(c_0_507,negated_conjecture,
( epred35_0
| c0_1(a609)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_170]),c_0_237]) ).
cnf(c_0_508,negated_conjecture,
( epred19_0
| epred12_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_233,c_0_408]) ).
cnf(c_0_509,negated_conjecture,
( epred52_0
| epred42_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_451,c_0_436]) ).
cnf(c_0_510,negated_conjecture,
( epred52_0
| epred42_0
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_452,c_0_242]) ).
cnf(c_0_511,negated_conjecture,
( epred52_0
| epred42_0
| hskp25
| hskp29 ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_512,negated_conjecture,
( hskp25
| ~ c0_1(a609)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_236]),c_0_237]) ).
cnf(c_0_513,negated_conjecture,
( epred45_0
| c0_1(a609)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_308]),c_0_237]) ).
cnf(c_0_514,negated_conjecture,
( epred27_0
| epred20_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_455,c_0_177]) ).
cnf(c_0_515,negated_conjecture,
( epred27_0
| ~ c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_180]),c_0_182]) ).
cnf(c_0_516,negated_conjecture,
( epred34_0
| epred27_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
fof(c_0_517,plain,
( ~ epred18_0
<=> ! [X2] :
( hskp7
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_518,negated_conjecture,
( epred9_0
| epred8_0
| hskp29
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_458,c_0_162]) ).
cnf(c_0_519,negated_conjecture,
( epred10_0
| epred8_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_458,c_0_178]) ).
cnf(c_0_520,negated_conjecture,
( epred24_0
| epred12_0
| epred8_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_405,c_0_459]) ).
cnf(c_0_521,negated_conjecture,
( epred7_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_460]),c_0_139])]) ).
cnf(c_0_522,negated_conjecture,
( ~ c3_1(a593)
| ~ hskp0 ),
clause137 ).
cnf(c_0_523,negated_conjecture,
( c2_1(a593)
| ~ hskp0 ),
clause89 ).
cnf(c_0_524,negated_conjecture,
( ~ c0_1(a593)
| ~ hskp0 ),
clause136 ).
cnf(c_0_525,negated_conjecture,
( epred34_0
| ~ c3_1(a604)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_305]),c_0_306]) ).
cnf(c_0_526,negated_conjecture,
( epred21_0
| c3_1(a604)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_305]),c_0_307]) ).
cnf(c_0_527,negated_conjecture,
( epred31_0
| epred8_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_461,c_0_326]) ).
fof(c_0_528,plain,
( ~ epred51_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_529,negated_conjecture,
( c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X3) ),
clause200 ).
cnf(c_0_530,negated_conjecture,
( epred4_0
| c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_378]),c_0_181]) ).
cnf(c_0_531,negated_conjecture,
( epred24_0
| epred8_0
| ~ c0_1(a597)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_377,c_0_181]) ).
cnf(c_0_532,negated_conjecture,
( epred24_0
| epred8_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_185]),c_0_184]) ).
cnf(c_0_533,negated_conjecture,
( epred4_0
| epred2_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_462,c_0_187]) ).
cnf(c_0_534,negated_conjecture,
( epred24_0
| epred8_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_216]),c_0_217]) ).
cnf(c_0_535,negated_conjecture,
( epred43_0
| epred4_0
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_463,c_0_437]) ).
cnf(c_0_536,negated_conjecture,
( epred46_0
| epred2_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_537,negated_conjecture,
( epred39_0
| c2_1(X1)
| hskp18
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_266]),c_0_139])]) ).
cnf(c_0_538,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
clause199 ).
cnf(c_0_539,negated_conjecture,
( epred33_0
| epred31_0
| epred17_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
cnf(c_0_540,negated_conjecture,
( epred45_0
| epred21_0
| ~ epred38_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_468]) ).
cnf(c_0_541,negated_conjecture,
( ~ epred44_0
| ~ epred17_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_355]),c_0_253]),c_0_189]) ).
cnf(c_0_542,negated_conjecture,
( epred47_0
| epred14_0
| ~ epred46_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_543,negated_conjecture,
( ~ epred47_0
| ~ epred44_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_355]),c_0_348]),c_0_137]) ).
cnf(c_0_544,negated_conjecture,
( c1_1(X1)
| hskp13
| hskp12
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause152 ).
cnf(c_0_545,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause140 ).
cnf(c_0_546,negated_conjecture,
( epred31_0
| epred19_0
| epred14_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_473,c_0_397]) ).
cnf(c_0_547,negated_conjecture,
( epred3_0
| c1_1(X1)
| c3_1(X1)
| hskp11
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_474]),c_0_139])]) ).
fof(c_0_548,plain,
( ~ epred40_0
<=> ! [X2] :
( hskp17
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_549,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp28
| hskp7
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause143 ).
cnf(c_0_550,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp19
| hskp7
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause145 ).
cnf(c_0_551,negated_conjecture,
( c2_1(X1)
| hskp29
| hskp6
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause156 ).
cnf(c_0_552,negated_conjecture,
( c3_1(X1)
| hskp28
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause158 ).
cnf(c_0_553,negated_conjecture,
( c2_1(X1)
| hskp10
| hskp5
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause157 ).
cnf(c_0_554,negated_conjecture,
( epred34_0
| ~ c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_173]),c_0_175]) ).
cnf(c_0_555,negated_conjecture,
( epred17_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_475]),c_0_476]),c_0_477]) ).
cnf(c_0_556,negated_conjecture,
( epred38_0
| epred13_0
| hskp20
| hskp29
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_478,c_0_479]) ).
cnf(c_0_557,negated_conjecture,
( epred36_0
| epred33_0
| hskp25
| hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_454]),c_0_436]) ).
cnf(c_0_558,negated_conjecture,
( epred42_0
| epred32_0
| ~ epred29_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_481]) ).
cnf(c_0_559,negated_conjecture,
( epred36_0
| ~ epred42_0
| ~ epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_315]),c_0_483]) ).
cnf(c_0_560,negated_conjecture,
( epred44_0
| epred43_0
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_484,c_0_242]) ).
cnf(c_0_561,negated_conjecture,
( epred30_0
| c2_1(X1)
| hskp13
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_485]),c_0_139])]) ).
cnf(c_0_562,negated_conjecture,
( c3_1(a600)
| ~ hskp6 ),
clause81 ).
cnf(c_0_563,negated_conjecture,
( ~ c2_1(a600)
| ~ hskp6 ),
clause127 ).
cnf(c_0_564,negated_conjecture,
( ~ c1_1(a600)
| ~ hskp6 ),
clause126 ).
cnf(c_0_565,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp9
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause176 ).
cnf(c_0_566,negated_conjecture,
( epred31_0
| epred23_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_567,negated_conjecture,
( epred36_0
| ~ epred42_0
| ~ epred39_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_488]) ).
cnf(c_0_568,negated_conjecture,
( epred36_0
| ~ epred42_0
| ~ epred39_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_488]) ).
cnf(c_0_569,negated_conjecture,
( epred38_0
| epred12_0
| hskp29
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_489,c_0_436]) ).
cnf(c_0_570,negated_conjecture,
( epred22_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_154]),c_0_491]),c_0_492]) ).
cnf(c_0_571,negated_conjecture,
( hskp10
| hskp28
| hskp2 ),
clause38 ).
cnf(c_0_572,negated_conjecture,
( epred38_0
| epred19_0
| hskp29
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_573,negated_conjecture,
( ~ epred48_0
| ~ epred24_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_495]),c_0_232]),c_0_298]) ).
cnf(c_0_574,negated_conjecture,
( epred31_0
| epred14_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_497]),c_0_498]) ).
cnf(c_0_575,negated_conjecture,
( epred31_0
| epred17_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_499,c_0_381]) ).
cnf(c_0_576,negated_conjecture,
( epred35_0
| epred34_0
| epred19_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_577,negated_conjecture,
( epred24_0
| epred19_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_502]),c_0_503]) ).
cnf(c_0_578,negated_conjecture,
( epred47_0
| epred34_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_456,c_0_504]) ).
cnf(c_0_579,negated_conjecture,
( epred37_0
| hskp24
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_144]),c_0_145]),c_0_147]) ).
cnf(c_0_580,negated_conjecture,
( epred35_0
| epred8_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_581,negated_conjecture,
( epred31_0
| epred8_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_419,c_0_487]) ).
cnf(c_0_582,negated_conjecture,
( epred20_0
| epred19_0
| epred12_0
| epred9_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_508,c_0_200]) ).
cnf(c_0_583,negated_conjecture,
( epred23_0
| c2_1(a651)
| c0_1(a651)
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_304]),c_0_135]) ).
cnf(c_0_584,negated_conjecture,
( epred52_0
| epred42_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_585,negated_conjecture,
( epred52_0
| epred42_0
| hskp29 ),
inference(spm,[status(thm)],[c_0_451,c_0_511]) ).
cnf(c_0_586,negated_conjecture,
( epred34_0
| ~ c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_288]),c_0_394]) ).
cnf(c_0_587,negated_conjecture,
( epred45_0
| hskp25
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_588,negated_conjecture,
( epred36_0
| epred27_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_514]) ).
cnf(c_0_589,negated_conjecture,
( epred27_0
| epred21_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_515,c_0_204]) ).
cnf(c_0_590,negated_conjecture,
( epred36_0
| epred34_0
| epred27_0
| epred22_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_516,c_0_248]) ).
cnf(c_0_591,negated_conjecture,
( epred18_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_517]),c_0_139])]) ).
cnf(c_0_592,negated_conjecture,
( epred24_0
| epred12_0
| epred9_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_448]),c_0_449]) ).
cnf(c_0_593,negated_conjecture,
( epred24_0
| epred12_0
| epred10_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_519,c_0_520]) ).
cnf(c_0_594,negated_conjecture,
( epred7_0
| c2_1(a667)
| hskp0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_521]),c_0_155]) ).
cnf(c_0_595,negated_conjecture,
( epred4_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_378]),c_0_523]),c_0_524]) ).
cnf(c_0_596,negated_conjecture,
( epred34_0
| epred21_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_597,negated_conjecture,
( epred31_0
| epred14_0
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_527,c_0_397]) ).
cnf(c_0_598,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X3) ),
clause192 ).
cnf(c_0_599,negated_conjecture,
( ~ epred51_0
| ~ epred24_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_529,c_0_528]),c_0_137]),c_0_298]) ).
cnf(c_0_600,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause191 ).
cnf(c_0_601,negated_conjecture,
( epred19_0
| epred4_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_203,c_0_530]) ).
cnf(c_0_602,negated_conjecture,
( c0_1(X1)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| c0_1(X2)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause190 ).
cnf(c_0_603,negated_conjecture,
( epred24_0
| epred8_0
| epred4_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_531,c_0_530]) ).
cnf(c_0_604,negated_conjecture,
( epred24_0
| epred8_0
| epred4_0
| epred2_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_605,negated_conjecture,
( epred24_0
| epred8_0
| ~ c0_1(a609)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_377,c_0_236]) ).
cnf(c_0_606,negated_conjecture,
( epred43_0
| epred4_0
| c0_1(a609)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_415,c_0_236]) ).
cnf(c_0_607,negated_conjecture,
( epred43_0
| epred24_0
| epred8_0
| epred4_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_608,negated_conjecture,
( epred46_0
| epred31_0
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_527,c_0_536]) ).
cnf(c_0_609,negated_conjecture,
( epred39_0
| hskp18
| ~ c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_304]),c_0_302]) ).
cnf(c_0_610,negated_conjecture,
( epred44_0
| epred43_0
| epred28_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_484,c_0_256]) ).
cnf(c_0_611,negated_conjecture,
( epred32_0
| epred31_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_257,c_0_487]) ).
cnf(c_0_612,negated_conjecture,
( epred42_0
| epred34_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_399,c_0_309]) ).
cnf(c_0_613,negated_conjecture,
( c3_1(a602)
| ~ hskp7 ),
clause80 ).
cnf(c_0_614,negated_conjecture,
( epred42_0
| ~ c3_1(a598)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_309]),c_0_197]) ).
cnf(c_0_615,negated_conjecture,
( epred11_0
| epred7_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0
| hskp28 ),
inference(spm,[status(thm)],[c_0_333,c_0_521]) ).
cnf(c_0_616,negated_conjecture,
( ~ epred52_0
| ~ epred34_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_538,c_0_340]),c_0_268]),c_0_369]) ).
cnf(c_0_617,negated_conjecture,
( epred33_0
| epred31_0
| ~ epred43_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_539]) ).
cnf(c_0_618,negated_conjecture,
( epred45_0
| epred21_0
| c0_1(X1)
| hskp29
| ~ c2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_347]),c_0_540]) ).
cnf(c_0_619,negated_conjecture,
( ~ epred46_0
| ~ epred44_0
| ~ epred19_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_542]),c_0_543]) ).
cnf(c_0_620,negated_conjecture,
( epred11_0
| c0_1(a614)
| hskp28
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_295]),c_0_291]) ).
cnf(c_0_621,negated_conjecture,
( epred11_0
| c3_1(a604)
| hskp28
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_305]),c_0_307]) ).
cnf(c_0_622,negated_conjecture,
( c1_1(X1)
| hskp12
| hskp13
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_139])]) ).
cnf(c_0_623,negated_conjecture,
( epred45_0
| c3_1(a596)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_308]),c_0_492]) ).
cnf(c_0_624,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp3
| hskp4
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_545,c_0_139])]) ).
cnf(c_0_625,negated_conjecture,
( epred31_0
| epred19_0
| epred14_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_546]) ).
cnf(c_0_626,negated_conjecture,
( epred3_0
| c3_1(a615)
| hskp11
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_213]),c_0_214]) ).
cnf(c_0_627,negated_conjecture,
( epred3_0
| c1_1(a605)
| hskp11
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_217]),c_0_218]) ).
cnf(c_0_628,negated_conjecture,
( epred40_0
| c3_1(X1)
| hskp17
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_548]),c_0_139])]) ).
cnf(c_0_629,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp7
| hskp28
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_139])]) ).
cnf(c_0_630,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp7
| hskp19
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_139])]) ).
cnf(c_0_631,negated_conjecture,
( c2_1(X1)
| hskp6
| hskp29
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_551,c_0_139])]) ).
cnf(c_0_632,negated_conjecture,
( c3_1(X1)
| hskp4
| hskp28
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_552,c_0_139])]) ).
cnf(c_0_633,negated_conjecture,
( c2_1(X1)
| hskp5
| hskp10
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_139])]) ).
cnf(c_0_634,negated_conjecture,
( epred51_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_528]),c_0_139])]) ).
cnf(c_0_635,negated_conjecture,
( epred48_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_495]),c_0_139])]) ).
cnf(c_0_636,negated_conjecture,
( ~ c3_1(a627)
| ~ hskp19 ),
clause106 ).
cnf(c_0_637,negated_conjecture,
( c0_1(a627)
| ~ hskp19 ),
clause63 ).
cnf(c_0_638,negated_conjecture,
( ~ c2_1(a627)
| ~ hskp19 ),
clause105 ).
cnf(c_0_639,negated_conjecture,
( epred34_0
| epred17_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_554,c_0_234]) ).
cnf(c_0_640,negated_conjecture,
( epred38_0
| epred17_0
| epred13_0
| hskp29
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_641,negated_conjecture,
( epred39_0
| c2_1(a618)
| hskp18
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_173]),c_0_174]) ).
cnf(c_0_642,negated_conjecture,
( c1_1(a624)
| ~ hskp17 ),
clause66 ).
cnf(c_0_643,negated_conjecture,
( c0_1(a624)
| ~ hskp17 ),
clause65 ).
cnf(c_0_644,negated_conjecture,
( ~ c2_1(a624)
| ~ hskp17 ),
clause109 ).
cnf(c_0_645,negated_conjecture,
( epred38_0
| epred36_0
| epred33_0
| epred12_0
| hskp29 ),
inference(spm,[status(thm)],[c_0_489,c_0_557]) ).
cnf(c_0_646,negated_conjecture,
( epred36_0
| ~ epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_353]),c_0_354]),c_0_559]) ).
cnf(c_0_647,negated_conjecture,
( epred44_0
| epred43_0
| epred32_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_257,c_0_560]) ).
cnf(c_0_648,negated_conjecture,
( epred30_0
| hskp13
| ~ c0_1(a600)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_562]),c_0_563]) ).
cnf(c_0_649,negated_conjecture,
( epred44_0
| c0_1(a600)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_389]),c_0_563]) ).
cnf(c_0_650,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_319]),c_0_298]) ).
cnf(c_0_651,negated_conjecture,
( epred42_0
| epred31_0
| epred28_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_566]) ).
cnf(c_0_652,negated_conjecture,
( epred36_0
| ~ epred42_0
| ~ epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_358]),c_0_568]) ).
cnf(c_0_653,negated_conjecture,
( epred42_0
| c0_1(a600)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_309]),c_0_562]) ).
cnf(c_0_654,negated_conjecture,
( epred24_0
| ~ c0_1(a599)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_426]),c_0_428]) ).
cnf(c_0_655,negated_conjecture,
( epred42_0
| c0_1(a599)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_309]),c_0_426]) ).
cnf(c_0_656,negated_conjecture,
( epred38_0
| epred19_0
| epred12_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_508,c_0_569]) ).
cnf(c_0_657,negated_conjecture,
( epred22_0
| hskp10
| hskp28 ),
inference(spm,[status(thm)],[c_0_570,c_0_571]) ).
cnf(c_0_658,negated_conjecture,
( epred38_0
| epred19_0
| epred12_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_508,c_0_572]) ).
cnf(c_0_659,negated_conjecture,
( epred31_0
| epred14_0
| ~ epred48_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_573,c_0_574]) ).
cnf(c_0_660,negated_conjecture,
( epred31_0
| epred17_0
| ~ epred48_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_573,c_0_575]) ).
cnf(c_0_661,negated_conjecture,
( epred29_0
| ~ c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_400]),c_0_402]) ).
cnf(c_0_662,negated_conjecture,
( epred35_0
| epred34_0
| epred24_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_663,negated_conjecture,
( epred47_0
| epred35_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_371]),c_0_424]) ).
cnf(c_0_664,negated_conjecture,
( epred37_0
| epred12_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_405,c_0_579]) ).
cnf(c_0_665,negated_conjecture,
( epred35_0
| epred31_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_666,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| epred12_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_582]) ).
cnf(c_0_667,negated_conjecture,
( epred30_0
| hskp13
| ~ c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_301]),c_0_302]) ).
cnf(c_0_668,negated_conjecture,
( epred23_0
| c0_1(a651)
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_583]),c_0_135]) ).
cnf(c_0_669,negated_conjecture,
( epred30_0
| c2_1(a618)
| hskp13
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_175]),c_0_174]) ).
cnf(c_0_670,negated_conjecture,
( epred36_0
| c0_1(a600)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_179]),c_0_563]) ).
cnf(c_0_671,negated_conjecture,
( epred52_0
| epred42_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_256]),c_0_584]) ).
cnf(c_0_672,negated_conjecture,
( epred52_0
| epred42_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_585]) ).
cnf(c_0_673,negated_conjecture,
( epred34_0
| epred23_0
| hskp9
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_586,c_0_390]) ).
cnf(c_0_674,negated_conjecture,
( epred45_0
| epred31_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_587]),c_0_566]) ).
cnf(c_0_675,negated_conjecture,
( epred36_0
| epred27_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_588]) ).
cnf(c_0_676,negated_conjecture,
( epred36_0
| epred34_0
| epred27_0
| epred22_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_589,c_0_590]) ).
cnf(c_0_677,negated_conjecture,
( epred36_0
| epred27_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_588]) ).
cnf(c_0_678,negated_conjecture,
( epred27_0
| ~ c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_295]),c_0_291]) ).
cnf(c_0_679,negated_conjecture,
( epred18_0
| c0_1(a614)
| hskp7
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_591]),c_0_292]) ).
cnf(c_0_680,negated_conjecture,
( epred24_0
| epred12_0
| epred9_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_592]) ).
cnf(c_0_681,negated_conjecture,
( epred24_0
| epred12_0
| epred10_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_593]) ).
cnf(c_0_682,negated_conjecture,
( epred10_0
| ~ c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_295]),c_0_292]) ).
cnf(c_0_683,negated_conjecture,
( c1_1(a608)
| ~ hskp11 ),
clause73 ).
cnf(c_0_684,negated_conjecture,
( ~ c0_1(a608)
| ~ hskp11 ),
clause119 ).
cnf(c_0_685,negated_conjecture,
( ~ c3_1(a608)
| ~ hskp11 ),
clause120 ).
cnf(c_0_686,negated_conjecture,
( epred24_0
| ~ c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_402]),c_0_401]) ).
cnf(c_0_687,negated_conjecture,
( epred43_0
| c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_402]),c_0_401]) ).
cnf(c_0_688,negated_conjecture,
( c2_1(a602)
| ~ hskp7 ),
clause79 ).
cnf(c_0_689,negated_conjecture,
( ~ c0_1(a602)
| ~ hskp7 ),
clause125 ).
cnf(c_0_690,negated_conjecture,
( epred7_0
| epred4_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_594]),c_0_595]) ).
cnf(c_0_691,negated_conjecture,
( epred34_0
| epred21_0
| hskp24 ),
inference(spm,[status(thm)],[c_0_596,c_0_135]) ).
cnf(c_0_692,negated_conjecture,
( epred31_0
| c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_400]),c_0_401]) ).
cnf(c_0_693,negated_conjecture,
( epred31_0
| epred14_0
| epred8_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_597]) ).
cnf(c_0_694,negated_conjecture,
( ~ epred42_0
| ~ epred27_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_598,c_0_276]),c_0_376]),c_0_158]) ).
cnf(c_0_695,negated_conjecture,
( epred45_0
| epred21_0
| ~ epred51_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_599,c_0_468]) ).
cnf(c_0_696,negated_conjecture,
( ~ epred45_0
| ~ epred42_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_600,c_0_276]),c_0_275]),c_0_298]) ).
cnf(c_0_697,negated_conjecture,
( epred19_0
| epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_533]),c_0_601]) ).
cnf(c_0_698,negated_conjecture,
( ~ epred43_0
| ~ epred42_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_602,c_0_276]),c_0_142]),c_0_171]) ).
cnf(c_0_699,negated_conjecture,
( epred24_0
| epred8_0
| epred4_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_603,c_0_604]) ).
cnf(c_0_700,negated_conjecture,
( epred43_0
| epred24_0
| epred8_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_606]),c_0_607]) ).
cnf(c_0_701,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
clause198 ).
cnf(c_0_702,negated_conjecture,
( c3_1(X2)
| hskp17
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
clause187 ).
cnf(c_0_703,negated_conjecture,
( c3_1(X2)
| hskp24
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
clause186 ).
cnf(c_0_704,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp10
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause177 ).
cnf(c_0_705,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause178 ).
cnf(c_0_706,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp7
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause168 ).
cnf(c_0_707,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp20
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause173 ).
cnf(c_0_708,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause164 ).
cnf(c_0_709,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause166 ).
cnf(c_0_710,negated_conjecture,
( epred46_0
| epred31_0
| epred8_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_608]) ).
cnf(c_0_711,negated_conjecture,
( epred39_0
| hskp18
| epred33_0
| hskp10
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_609,c_0_345]) ).
cnf(c_0_712,negated_conjecture,
( epred44_0
| epred43_0
| epred28_0
| epred32_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_713,negated_conjecture,
( epred42_0
| epred34_0
| c0_1(a602)
| ~ c2_1(a602)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_714,negated_conjecture,
( epred42_0
| epred11_0
| epred7_0
| c2_1(a598)
| c0_1(a598)
| hskp0
| hskp28
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_614,c_0_615]) ).
cnf(c_0_715,negated_conjecture,
( epred33_0
| ~ epred52_0
| ~ epred34_0
| ~ epred43_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_716,negated_conjecture,
( epred45_0
| epred21_0
| c0_1(a604)
| hskp29
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_618,c_0_306]) ).
cnf(c_0_717,negated_conjecture,
( epred33_0
| epred31_0
| ~ epred46_0
| ~ epred44_0
| ~ epred19_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_619,c_0_539]) ).
cnf(c_0_718,negated_conjecture,
( epred9_0
| c3_1(a614)
| c2_1(a614)
| hskp29
| epred11_0
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_146,c_0_620]) ).
cnf(c_0_719,negated_conjecture,
( epred43_0
| c0_1(a604)
| epred11_0
| hskp28
| ~ c2_1(a604)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_192,c_0_621]) ).
cnf(c_0_720,negated_conjecture,
( epred38_0
| c0_1(a604)
| hskp29
| epred11_0
| hskp28
| ~ c2_1(a604)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_393,c_0_621]) ).
cnf(c_0_721,negated_conjecture,
( c1_1(a596)
| hskp12
| hskp13
| epred45_0
| ~ c2_1(a596)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_622,c_0_623]) ).
cnf(c_0_722,negated_conjecture,
( epred43_0
| c0_1(a596)
| epred45_0
| ~ c2_1(a596)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_192,c_0_623]) ).
cnf(c_0_723,negated_conjecture,
( c1_1(a625)
| c0_1(a625)
| hskp3
| hskp4
| epred36_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_624,c_0_220]) ).
cnf(c_0_724,negated_conjecture,
( epred31_0
| epred19_0
| ~ epred44_0
| ~ epred17_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_541,c_0_625]) ).
cnf(c_0_725,negated_conjecture,
( epred24_0
| epred3_0
| hskp11
| ~ c2_1(a615)
| ~ c0_1(a615)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_336,c_0_626]) ).
cnf(c_0_726,negated_conjecture,
( epred19_0
| epred3_0
| hskp11
| ~ c2_1(a605)
| ~ c0_1(a605)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_143,c_0_627]) ).
cnf(c_0_727,negated_conjecture,
( epred40_0
| c3_1(a605)
| hskp17
| epred3_0
| hskp11
| ~ c0_1(a605)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_628,c_0_627]) ).
cnf(c_0_728,negated_conjecture,
( epred3_0
| c1_1(a690)
| c3_1(a690)
| hskp11
| epred2_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_547,c_0_294]) ).
cnf(c_0_729,negated_conjecture,
( c3_1(a604)
| c0_1(a604)
| hskp7
| hskp28
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_629,c_0_306]) ).
cnf(c_0_730,negated_conjecture,
( c1_1(a609)
| c3_1(a609)
| hskp7
| hskp19
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_630,c_0_236]) ).
cnf(c_0_731,negated_conjecture,
( c1_1(a609)
| c0_1(a609)
| hskp3
| hskp4
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_624,c_0_236]) ).
cnf(c_0_732,negated_conjecture,
( c1_1(a596)
| c0_1(a596)
| hskp3
| hskp4
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_624,c_0_491]) ).
cnf(c_0_733,negated_conjecture,
( c2_1(a651)
| hskp6
| hskp29
| ~ c3_1(a651)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_631,c_0_304]) ).
cnf(c_0_734,negated_conjecture,
( c3_1(a605)
| hskp4
| hskp28
| ~ c0_1(a605)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_632,c_0_216]) ).
cnf(c_0_735,negated_conjecture,
( c3_1(a597)
| hskp4
| hskp28
| ~ c0_1(a597)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_632,c_0_181]) ).
cnf(c_0_736,negated_conjecture,
( c2_1(a651)
| hskp5
| hskp10
| ~ c3_1(a651)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_633,c_0_304]) ).
cnf(c_0_737,negated_conjecture,
( epred52_0
| c0_1(a595)
| ~ c3_1(a595)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_375,c_0_400]) ).
cnf(c_0_738,negated_conjecture,
( epred52_0
| c0_1(a651)
| ~ c3_1(a651)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_375,c_0_304]) ).
cnf(c_0_739,negated_conjecture,
( epred52_0
| c0_1(a604)
| ~ c3_1(a604)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_375,c_0_305]) ).
cnf(c_0_740,negated_conjecture,
( epred51_0
| c3_1(a614)
| c2_1(a614)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_634,c_0_295]) ).
cnf(c_0_741,negated_conjecture,
( epred48_0
| c3_1(a609)
| ~ hskp12
| ~ c2_1(a609) ),
inference(spm,[status(thm)],[c_0_238,c_0_635]) ).
cnf(c_0_742,negated_conjecture,
( epred46_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_343]),c_0_637]),c_0_638]) ).
cnf(c_0_743,negated_conjecture,
( epred38_0
| epred34_0
| epred17_0
| epred13_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_639,c_0_640]) ).
cnf(c_0_744,negated_conjecture,
( epred39_0
| epred19_0
| hskp18
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_233,c_0_641]) ).
cnf(c_0_745,negated_conjecture,
( epred39_0
| hskp18
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_642]),c_0_643]),c_0_644]) ).
cnf(c_0_746,negated_conjecture,
( epred36_0
| epred33_0
| epred24_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_645]),c_0_646]) ).
cnf(c_0_747,negated_conjecture,
( epred44_0
| epred43_0
| epred32_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_647]) ).
cnf(c_0_748,negated_conjecture,
( epred44_0
| epred30_0
| hskp13
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_648,c_0_649]) ).
cnf(c_0_749,negated_conjecture,
( epred44_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_389]),c_0_197]),c_0_198]) ).
cnf(c_0_750,negated_conjecture,
( epred42_0
| epred31_0
| epred28_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_751,negated_conjecture,
( epred36_0
| ~ epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_391]),c_0_392]),c_0_652]) ).
cnf(c_0_752,negated_conjecture,
( epred42_0
| epred30_0
| hskp13
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_648,c_0_653]) ).
cnf(c_0_753,negated_conjecture,
( epred42_0
| epred24_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_754,negated_conjecture,
( epred38_0
| epred22_0
| epred19_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_657]),c_0_658]) ).
cnf(c_0_755,negated_conjecture,
( epred31_0
| ~ epred48_0
| ~ epred44_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_659]),c_0_660]) ).
cnf(c_0_756,negated_conjecture,
( epred38_0
| epred29_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_494]),c_0_199]) ).
cnf(c_0_757,negated_conjecture,
( epred35_0
| epred34_0
| epred24_0
| ~ epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_662]),c_0_663]) ).
cnf(c_0_758,negated_conjecture,
( epred37_0
| epred20_0
| epred12_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_664,c_0_177]) ).
cnf(c_0_759,negated_conjecture,
( epred35_0
| epred31_0
| ~ epred42_0
| ~ epred36_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_665]) ).
cnf(c_0_760,negated_conjecture,
( epred35_0
| epred31_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_473,c_0_404]) ).
cnf(c_0_761,negated_conjecture,
( epred36_0
| epred20_0
| epred19_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_666]),c_0_247]) ).
cnf(c_0_762,negated_conjecture,
( epred30_0
| epred23_0
| hskp13
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_668]),c_0_135]) ).
cnf(c_0_763,negated_conjecture,
( epred34_0
| epred30_0
| hskp13
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_554,c_0_669]) ).
cnf(c_0_764,negated_conjecture,
( epred36_0
| epred30_0
| hskp13
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_648,c_0_670]) ).
cnf(c_0_765,negated_conjecture,
( epred52_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_671]),c_0_672]) ).
cnf(c_0_766,negated_conjecture,
( epred34_0
| epred23_0
| hskp9
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_673,c_0_436]) ).
cnf(c_0_767,negated_conjecture,
( epred45_0
| epred31_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_674]) ).
cnf(c_0_768,negated_conjecture,
( epred36_0
| epred34_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_676]),c_0_677]) ).
cnf(c_0_769,negated_conjecture,
( epred27_0
| epred18_0
| hskp7
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_678,c_0_679]) ).
cnf(c_0_770,negated_conjecture,
( epred24_0
| epred12_0
| ~ epred42_0
| ~ epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_680]),c_0_681]) ).
cnf(c_0_771,negated_conjecture,
( epred27_0
| epred11_0
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_678,c_0_620]) ).
cnf(c_0_772,negated_conjecture,
( epred11_0
| epred10_0
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_682,c_0_620]) ).
cnf(c_0_773,negated_conjecture,
( epred14_0
| epred11_0
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_327,c_0_620]) ).
cnf(c_0_774,negated_conjecture,
( epred11_0
| hskp28
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_683]),c_0_684]),c_0_685]) ).
cnf(c_0_775,negated_conjecture,
( epred34_0
| epred11_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_621]),c_0_446]) ).
cnf(c_0_776,negated_conjecture,
( epred11_0
| epred8_0
| hskp28
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_461,c_0_370]) ).
cnf(c_0_777,negated_conjecture,
( epred47_0
| c3_1(a604)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_305]),c_0_306]) ).
cnf(c_0_778,negated_conjecture,
( epred45_0
| epred8_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_506,c_0_513]) ).
cnf(c_0_779,negated_conjecture,
( epred43_0
| epred24_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_686,c_0_687]) ).
cnf(c_0_780,negated_conjecture,
( epred43_0
| epred19_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_493,c_0_687]) ).
cnf(c_0_781,negated_conjecture,
( epred43_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_613]),c_0_688]),c_0_689]) ).
cnf(c_0_782,negated_conjecture,
( epred7_0
| epred4_0
| hskp3
| hskp30 ),
inference(spm,[status(thm)],[c_0_690,c_0_187]) ).
cnf(c_0_783,negated_conjecture,
( epred34_0
| epred21_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_691]) ).
cnf(c_0_784,negated_conjecture,
( epred7_0
| hskp0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_521]),c_0_197]),c_0_198]) ).
cnf(c_0_785,negated_conjecture,
( epred31_0
| epred24_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_686,c_0_692]) ).
cnf(c_0_786,negated_conjecture,
( epred31_0
| epred19_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_493,c_0_692]) ).
cnf(c_0_787,negated_conjecture,
( epred31_0
| epred14_0
| ~ epred42_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_693]) ).
cnf(c_0_788,negated_conjecture,
( epred29_0
| ~ c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_304]),c_0_301]) ).
cnf(c_0_789,negated_conjecture,
( epred27_0
| epred2_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_678,c_0_328]) ).
cnf(c_0_790,negated_conjecture,
( epred24_0
| epred17_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_407,c_0_234]) ).
cnf(c_0_791,negated_conjecture,
( ~ epred51_0
| ~ epred42_0
| ~ epred27_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_696]) ).
cnf(c_0_792,negated_conjecture,
( epred19_0
| epred4_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_697]) ).
cnf(c_0_793,negated_conjecture,
( epred10_0
| ~ c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_304]),c_0_302]) ).
cnf(c_0_794,negated_conjecture,
( epred24_0
| epred8_0
| epred4_0
| ~ epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_699]),c_0_700]) ).
cnf(c_0_795,negated_conjecture,
( ~ epred51_0
| ~ epred43_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_701,c_0_528]),c_0_171]),c_0_137]) ).
cnf(c_0_796,negated_conjecture,
( ~ epred40_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_702,c_0_548]),c_0_369]) ).
cnf(c_0_797,negated_conjecture,
( ~ epred37_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_703,c_0_450]),c_0_298]) ).
cnf(c_0_798,negated_conjecture,
( ~ epred34_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_704,c_0_274]),c_0_369]) ).
cnf(c_0_799,negated_conjecture,
( ~ epred31_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_705,c_0_485]),c_0_268]) ).
cnf(c_0_800,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_706,c_0_517]),c_0_137]) ).
cnf(c_0_801,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_707,c_0_385]),c_0_253]) ).
cnf(c_0_802,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_708,c_0_460]),c_0_299]) ).
cnf(c_0_803,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_709,c_0_474]),c_0_342]) ).
cnf(c_0_804,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_710,c_0_711,c_0_712,c_0_713,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_724,c_0_725,c_0_726,c_0_727,c_0_728,c_0_729,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_735,c_0_736,c_0_737,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_745,c_0_746,c_0_747,c_0_748,c_0_749,c_0_750,c_0_751,c_0_646,c_0_558,c_0_349,c_0_752,c_0_753,c_0_754,c_0_755,c_0_756,c_0_757,c_0_758,c_0_579,c_0_759,c_0_420,c_0_345,c_0_760,c_0_761,c_0_762,c_0_313,c_0_611,c_0_763,c_0_667,c_0_764,c_0_765,c_0_766,c_0_767,c_0_768,c_0_177,c_0_769,c_0_770,c_0_771,c_0_772,c_0_773,c_0_774,c_0_775,c_0_621,c_0_403,c_0_776,c_0_240,c_0_619,c_0_777,c_0_778,c_0_779,c_0_780,c_0_781,c_0_222,c_0_446,c_0_782,c_0_783,c_0_525,c_0_784,c_0_785,c_0_786,c_0_787,c_0_487,c_0_381,c_0_346,c_0_326,c_0_199,c_0_788,c_0_789,c_0_790,c_0_686,c_0_526,c_0_791,c_0_792,c_0_205,c_0_508,c_0_493,c_0_344,c_0_405,c_0_793,c_0_506,c_0_419,c_0_794,c_0_595,c_0_599,c_0_616,c_0_795,c_0_543,c_0_350,c_0_694,c_0_696,c_0_541,c_0_466,c_0_698,c_0_249,c_0_796,c_0_286,c_0_260,c_0_797,c_0_798,c_0_252,c_0_799,c_0_312,c_0_650,c_0_284,c_0_281,c_0_800,c_0_801,c_0_500,c_0_245,c_0_802,c_0_803,c_0_490,c_0_492,c_0_182,c_0_198,c_0_197,c_0_689,c_0_218,c_0_238,c_0_237,c_0_291,c_0_292,c_0_195,c_0_194,c_0_322,c_0_270,c_0_302,c_0_307,c_0_301,c_0_402,c_0_491,c_0_688,c_0_306,c_0_216,c_0_236,c_0_212,c_0_217,c_0_213,c_0_330,c_0_571,c_0_135]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN471-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:15:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 1.31/1.39 % Version : CSE_E---1.5
% 1.31/1.39 % Problem : theBenchmark.p
% 1.31/1.39 % Proof found
% 1.31/1.39 % SZS status Theorem for theBenchmark.p
% 1.31/1.39 % SZS output start Proof
% See solution above
% 1.36/1.42 % Total time : 0.805000 s
% 1.36/1.42 % SZS output end Proof
% 1.36/1.42 % Total time : 0.811000 s
%------------------------------------------------------------------------------