TSTP Solution File: SYN454-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN454-1 : 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 : n023.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 01:51:59 EDT 2023
% Result : Unsatisfiable 1.76s 1.88s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 269
% Syntax : Number of formulae : 707 ( 2 unt; 110 typ; 0 def)
% Number of atoms : 2301 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2695 ( 991 ~;1663 |; 0 &)
% ( 41 <=>; 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 : 81 ( 80 usr; 77 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 244 ( 0 sgn; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp29: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
hskp28: $o ).
tff(decl_25,type,
hskp27: $o ).
tff(decl_26,type,
hskp26: $o ).
tff(decl_27,type,
hskp25: $o ).
tff(decl_28,type,
hskp24: $o ).
tff(decl_29,type,
hskp23: $o ).
tff(decl_30,type,
hskp22: $o ).
tff(decl_31,type,
hskp21: $o ).
tff(decl_32,type,
hskp20: $o ).
tff(decl_33,type,
hskp19: $o ).
tff(decl_34,type,
hskp18: $o ).
tff(decl_35,type,
hskp17: $o ).
tff(decl_36,type,
hskp16: $o ).
tff(decl_37,type,
hskp15: $o ).
tff(decl_38,type,
hskp14: $o ).
tff(decl_39,type,
hskp13: $o ).
tff(decl_40,type,
hskp12: $o ).
tff(decl_41,type,
hskp11: $o ).
tff(decl_42,type,
hskp10: $o ).
tff(decl_43,type,
hskp9: $o ).
tff(decl_44,type,
hskp8: $o ).
tff(decl_45,type,
hskp7: $o ).
tff(decl_46,type,
hskp6: $o ).
tff(decl_47,type,
hskp5: $o ).
tff(decl_48,type,
hskp4: $o ).
tff(decl_49,type,
hskp3: $o ).
tff(decl_50,type,
hskp2: $o ).
tff(decl_51,type,
hskp1: $o ).
tff(decl_52,type,
hskp0: $o ).
tff(decl_53,type,
a165: $i ).
tff(decl_54,type,
c1_1: $i > $o ).
tff(decl_55,type,
c2_1: $i > $o ).
tff(decl_56,type,
c3_1: $i > $o ).
tff(decl_57,type,
a142: $i ).
tff(decl_58,type,
c0_1: $i > $o ).
tff(decl_59,type,
a95: $i ).
tff(decl_60,type,
a94: $i ).
tff(decl_61,type,
a159: $i ).
tff(decl_62,type,
a153: $i ).
tff(decl_63,type,
a152: $i ).
tff(decl_64,type,
a149: $i ).
tff(decl_65,type,
a145: $i ).
tff(decl_66,type,
a133: $i ).
tff(decl_67,type,
a127: $i ).
tff(decl_68,type,
a125: $i ).
tff(decl_69,type,
a118: $i ).
tff(decl_70,type,
a116: $i ).
tff(decl_71,type,
a115: $i ).
tff(decl_72,type,
a112: $i ).
tff(decl_73,type,
a110: $i ).
tff(decl_74,type,
a109: $i ).
tff(decl_75,type,
a106: $i ).
tff(decl_76,type,
a105: $i ).
tff(decl_77,type,
a103: $i ).
tff(decl_78,type,
a102: $i ).
tff(decl_79,type,
a101: $i ).
tff(decl_80,type,
a100: $i ).
tff(decl_81,type,
a99: $i ).
tff(decl_82,type,
a98: $i ).
tff(decl_83,type,
a97: $i ).
tff(decl_84,type,
a124: $i ).
tff(decl_85,type,
a104: $i ).
tff(decl_86,type,
a96: $i ).
tff(decl_87,type,
epred1_0: $o ).
tff(decl_88,type,
epred2_0: $o ).
tff(decl_89,type,
epred3_0: $o ).
tff(decl_90,type,
epred4_0: $o ).
tff(decl_91,type,
epred5_0: $o ).
tff(decl_92,type,
epred6_0: $o ).
tff(decl_93,type,
epred7_0: $o ).
tff(decl_94,type,
epred8_0: $o ).
tff(decl_95,type,
epred9_0: $o ).
tff(decl_96,type,
epred10_0: $o ).
tff(decl_97,type,
epred11_0: $o ).
tff(decl_98,type,
epred12_0: $o ).
tff(decl_99,type,
epred13_0: $o ).
tff(decl_100,type,
epred14_0: $o ).
tff(decl_101,type,
epred15_0: $o ).
tff(decl_102,type,
epred16_0: $o ).
tff(decl_103,type,
epred17_0: $o ).
tff(decl_104,type,
epred18_0: $o ).
tff(decl_105,type,
epred19_0: $o ).
tff(decl_106,type,
epred20_0: $o ).
tff(decl_107,type,
epred21_0: $o ).
tff(decl_108,type,
epred22_0: $o ).
tff(decl_109,type,
epred23_0: $o ).
tff(decl_110,type,
epred24_0: $o ).
tff(decl_111,type,
epred25_0: $o ).
tff(decl_112,type,
epred26_0: $o ).
tff(decl_113,type,
epred27_0: $o ).
tff(decl_114,type,
epred28_0: $o ).
tff(decl_115,type,
epred29_0: $o ).
tff(decl_116,type,
epred30_0: $o ).
tff(decl_117,type,
epred31_0: $o ).
tff(decl_118,type,
epred32_0: $o ).
tff(decl_119,type,
epred33_0: $o ).
tff(decl_120,type,
epred34_0: $o ).
tff(decl_121,type,
epred35_0: $o ).
tff(decl_122,type,
epred36_0: $o ).
tff(decl_123,type,
epred37_0: $o ).
tff(decl_124,type,
epred38_0: $o ).
tff(decl_125,type,
epred39_0: $o ).
tff(decl_126,type,
epred40_0: $o ).
tff(decl_127,type,
epred41_0: $o ).
tff(decl_128,type,
epred42_0: $o ).
tff(decl_129,type,
epred43_0: $o ).
tff(decl_130,type,
epred44_0: $o ).
tff(decl_131,type,
epred45_0: $o ).
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause40,negated_conjecture,
( hskp29
| hskp24
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause6,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(clause19,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(clause130,negated_conjecture,
( ~ c1_1(a96)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause131,negated_conjecture,
( ~ c2_1(a96)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause132,negated_conjecture,
( ~ c3_1(a96)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause80,negated_conjecture,
( c0_1(a103)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause118,negated_conjecture,
( ~ c1_1(a103)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ c3_1(a103)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause74,negated_conjecture,
( c3_1(a110)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause73,negated_conjecture,
( c2_1(a110)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause110,negated_conjecture,
( ~ c0_1(a110)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause111,negated_conjecture,
( ~ c0_1(a109)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause75,negated_conjecture,
( c2_1(a109)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause112,negated_conjecture,
( ~ c3_1(a109)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause61,negated_conjecture,
( c0_1(a133)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause62,negated_conjecture,
( c3_1(a133)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause98,negated_conjecture,
( ~ c2_1(a133)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause43,negated_conjecture,
( c1_1(a165)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause45,negated_conjecture,
( c3_1(a165)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause35,negated_conjecture,
( hskp20
| hskp29
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause138,negated_conjecture,
( c1_1(X1)
| hskp13
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause58,negated_conjecture,
( c1_1(a152)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause93,negated_conjecture,
( ~ c2_1(a152)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause38,negated_conjecture,
( hskp14
| hskp12
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause133,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp1
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause115,negated_conjecture,
( ~ c0_1(a104)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause116,negated_conjecture,
( ~ c2_1(a104)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause117,negated_conjecture,
( ~ c3_1(a104)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause127,negated_conjecture,
( ~ c0_1(a98)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause86,negated_conjecture,
( c1_1(a98)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause128,negated_conjecture,
( ~ c3_1(a98)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause57,negated_conjecture,
( c0_1(a152)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause71,negated_conjecture,
( c0_1(a112)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause72,negated_conjecture,
( c3_1(a112)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause109,negated_conjecture,
( ~ c1_1(a112)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause88,negated_conjecture,
( c3_1(a97)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause87,negated_conjecture,
( c2_1(a97)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause129,negated_conjecture,
( ~ c1_1(a97)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause67,negated_conjecture,
( c1_1(a118)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause104,negated_conjecture,
( ~ c2_1(a118)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause105,negated_conjecture,
( ~ c3_1(a118)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause70,negated_conjecture,
( c0_1(a115)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause107,negated_conjecture,
( ~ c2_1(a115)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause108,negated_conjecture,
( ~ c3_1(a115)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause69,negated_conjecture,
( c3_1(a116)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause106,negated_conjecture,
( ~ c0_1(a116)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause68,negated_conjecture,
( c1_1(a116)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause164,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause78,negated_conjecture,
( c0_1(a105)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause79,negated_conjecture,
( c2_1(a105)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause114,negated_conjecture,
( ~ c1_1(a105)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause56,negated_conjecture,
( c1_1(a153)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause92,negated_conjecture,
( ~ c2_1(a153)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause91,negated_conjecture,
( ~ c0_1(a153)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause31,negated_conjecture,
( hskp23
| hskp24
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(clause160,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause66,negated_conjecture,
( c1_1(a125)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause100,negated_conjecture,
( ~ c3_1(a125)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause65,negated_conjecture,
( c0_1(a125)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause36,negated_conjecture,
( hskp20
| hskp3
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause34,negated_conjecture,
( hskp9
| hskp14
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause44,negated_conjecture,
( c2_1(a165)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause143,negated_conjecture,
( c1_1(X1)
| hskp14
| hskp10
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause77,negated_conjecture,
( c3_1(a106)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( c1_1(a106)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause139,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp20
| hskp10
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause141,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp1
| hskp17
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
cnf(clause140,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp12
| hskp5
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause136,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| hskp3
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause145,negated_conjecture,
( c1_1(X1)
| hskp26
| hskp17
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause146,negated_conjecture,
( c1_1(X1)
| hskp18
| hskp14
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
cnf(clause144,negated_conjecture,
( c1_1(X1)
| hskp16
| hskp8
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
cnf(clause153,negated_conjecture,
( hskp9
| hskp22
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause172,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X3)
| c2_1(X3)
| c3_1(X3)
| c0_1(X2)
| c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause101,negated_conjecture,
( ~ c0_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause103,negated_conjecture,
( ~ c3_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause102,negated_conjecture,
( ~ c1_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause125,negated_conjecture,
( ~ c1_1(a99)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ c3_1(a99)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause83,negated_conjecture,
( c3_1(a101)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause121,negated_conjecture,
( ~ c1_1(a101)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause122,negated_conjecture,
( ~ c2_1(a101)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause81,negated_conjecture,
( c1_1(a102)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause82,negated_conjecture,
( c2_1(a102)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause120,negated_conjecture,
( ~ c3_1(a102)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause178,negated_conjecture,
( c2_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause85,negated_conjecture,
( c2_1(a99)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause59,negated_conjecture,
( c3_1(a149)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause113,negated_conjecture,
( ~ c2_1(a106)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause39,negated_conjecture,
( hskp14
| hskp1
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause52,negated_conjecture,
( c0_1(a94)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause53,negated_conjecture,
( c1_1(a94)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause54,negated_conjecture,
( c2_1(a94)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause142,negated_conjecture,
( c0_1(X1)
| hskp26
| hskp11
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(clause179,negated_conjecture,
( c2_1(X2)
| c0_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause180,negated_conjecture,
( c2_1(X2)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
cnf(clause177,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause176,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause175,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause173,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause167,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause170,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp8
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause169,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause163,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
cnf(clause166,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause161,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp7
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause165,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp10
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause162,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
cnf(clause156,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause157,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp9
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause158,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp10
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(clause159,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp14
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause155,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
cnf(clause94,negated_conjecture,
( ~ c0_1(a149)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause95,negated_conjecture,
( ~ c1_1(a149)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause42,negated_conjecture,
( hskp15
| hskp22
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(c_0_118,negated_conjecture,
( ndr1_0
| ~ hskp29 ),
clause1 ).
cnf(c_0_119,negated_conjecture,
( hskp29
| hskp24
| hskp11 ),
clause40 ).
cnf(c_0_120,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
clause6 ).
cnf(c_0_121,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
clause19 ).
fof(c_0_122,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_123,plain,
( ~ epred32_0
<=> ! [X2] :
( c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_124,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]) ).
fof(c_0_125,plain,
( ~ epred31_0
<=> ! [X3] :
( c1_1(X3)
| c2_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_126,plain,
( ~ epred1_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred17_0
<=> ! [X1] :
( hskp7
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred30_0
<=> ! [X2] :
( c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_129,plain,
( ~ epred6_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_130,negated_conjecture,
( epred27_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
cnf(c_0_131,negated_conjecture,
( epred32_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_124])]) ).
cnf(c_0_132,negated_conjecture,
( ~ c1_1(a96)
| ~ hskp0 ),
clause130 ).
cnf(c_0_133,negated_conjecture,
( epred31_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_125]) ).
cnf(c_0_134,negated_conjecture,
( ~ c2_1(a96)
| ~ hskp0 ),
clause131 ).
cnf(c_0_135,negated_conjecture,
( ~ c3_1(a96)
| ~ hskp0 ),
clause132 ).
fof(c_0_136,plain,
( ~ epred34_0
<=> ! [X1] :
( c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_137,plain,
( ~ epred20_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_138,negated_conjecture,
( epred1_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_124])]) ).
cnf(c_0_139,negated_conjecture,
( c0_1(a103)
| ~ hskp7 ),
clause80 ).
cnf(c_0_140,negated_conjecture,
( ~ c1_1(a103)
| ~ hskp7 ),
clause118 ).
cnf(c_0_141,negated_conjecture,
( ~ c3_1(a103)
| ~ hskp7 ),
clause119 ).
cnf(c_0_142,negated_conjecture,
( epred17_0
| c0_1(X1)
| hskp7
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_124])]) ).
cnf(c_0_143,negated_conjecture,
( c3_1(a110)
| ~ hskp12 ),
clause74 ).
cnf(c_0_144,negated_conjecture,
( c2_1(a110)
| ~ hskp12 ),
clause73 ).
cnf(c_0_145,negated_conjecture,
( ~ c0_1(a110)
| ~ hskp12 ),
clause110 ).
cnf(c_0_146,negated_conjecture,
( ~ c0_1(a109)
| ~ hskp11 ),
clause111 ).
cnf(c_0_147,negated_conjecture,
( epred30_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_124])]) ).
cnf(c_0_148,negated_conjecture,
( c2_1(a109)
| ~ hskp11 ),
clause75 ).
cnf(c_0_149,negated_conjecture,
( ~ c3_1(a109)
| ~ hskp11 ),
clause112 ).
fof(c_0_150,plain,
( ~ epred18_0
<=> ! [X2] :
( c2_1(X2)
| c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_151,plain,
( ~ epred11_0
<=> ! [X2] :
( hskp0
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_152,negated_conjecture,
( c0_1(a133)
| ~ hskp20 ),
clause61 ).
cnf(c_0_153,negated_conjecture,
( c3_1(a133)
| ~ hskp20 ),
clause62 ).
cnf(c_0_154,negated_conjecture,
( epred6_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_129]) ).
cnf(c_0_155,negated_conjecture,
( ~ c2_1(a133)
| ~ hskp20 ),
clause98 ).
cnf(c_0_156,negated_conjecture,
( epred32_0
| epred27_0
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_157,negated_conjecture,
( c1_1(a165)
| ~ hskp29 ),
clause43 ).
cnf(c_0_158,negated_conjecture,
( c3_1(a165)
| ~ hskp29 ),
clause45 ).
cnf(c_0_159,negated_conjecture,
( epred31_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_160,negated_conjecture,
( hskp20
| hskp29
| hskp0 ),
clause35 ).
fof(c_0_161,plain,
( ~ epred41_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_162,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_163,plain,
( ~ epred43_0
<=> ! [X2] :
( c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_164,plain,
( ~ epred12_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_165,plain,
( ~ epred38_0
<=> ! [X3] :
( c3_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_166,plain,
( ~ epred23_0
<=> ! [X1] :
( hskp16
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_167,plain,
( ~ epred35_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_168,plain,
( ~ epred24_0
<=> ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
( c1_1(X1)
| hskp13
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause138 ).
cnf(c_0_170,negated_conjecture,
( epred34_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_136]),c_0_124])]) ).
cnf(c_0_171,negated_conjecture,
( c1_1(a152)
| ~ hskp23 ),
clause58 ).
cnf(c_0_172,negated_conjecture,
( ~ c2_1(a152)
| ~ hskp23 ),
clause93 ).
cnf(c_0_173,negated_conjecture,
( epred20_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_137]) ).
fof(c_0_174,plain,
( ~ epred2_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_175,plain,
( ~ epred10_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( epred1_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]) ).
cnf(c_0_177,negated_conjecture,
( epred17_0
| hskp7
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]) ).
cnf(c_0_178,negated_conjecture,
( epred30_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149]) ).
cnf(c_0_179,negated_conjecture,
( hskp14
| hskp12
| hskp11 ),
clause38 ).
fof(c_0_180,plain,
( ~ epred39_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_181,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_182,plain,
( ~ epred40_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_183,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp1
| ~ ndr1_0 ),
clause133 ).
cnf(c_0_184,negated_conjecture,
( ~ c0_1(a104)
| ~ hskp8 ),
clause115 ).
cnf(c_0_185,negated_conjecture,
( epred18_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_150]) ).
cnf(c_0_186,negated_conjecture,
( ~ c2_1(a104)
| ~ hskp8 ),
clause116 ).
cnf(c_0_187,negated_conjecture,
( epred11_0
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_124])]) ).
cnf(c_0_188,negated_conjecture,
( ~ c3_1(a104)
| ~ hskp8 ),
clause117 ).
fof(c_0_189,plain,
( ~ epred13_0
<=> ! [X1] :
( hskp15
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_190,negated_conjecture,
( epred27_0
| ~ c1_1(a133)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_152]),c_0_153]) ).
cnf(c_0_191,negated_conjecture,
( epred6_0
| c1_1(a133)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_152]),c_0_155]) ).
cnf(c_0_192,negated_conjecture,
( epred32_0
| epred27_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_193,negated_conjecture,
( epred31_0
| hskp20
| hskp29 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
fof(c_0_194,plain,
( ~ epred15_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_195,negated_conjecture,
( ~ c0_1(a98)
| ~ hskp2 ),
clause127 ).
cnf(c_0_196,negated_conjecture,
( epred41_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_161]) ).
cnf(c_0_197,negated_conjecture,
( c1_1(a98)
| ~ hskp2 ),
clause86 ).
cnf(c_0_198,negated_conjecture,
( epred4_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_162]) ).
cnf(c_0_199,negated_conjecture,
( ~ c3_1(a98)
| ~ hskp2 ),
clause128 ).
cnf(c_0_200,negated_conjecture,
( epred43_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_163]),c_0_124])]) ).
cnf(c_0_201,negated_conjecture,
( epred12_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_164]) ).
cnf(c_0_202,negated_conjecture,
( epred38_0
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_124])]) ).
fof(c_0_203,plain,
( ~ epred9_0
<=> ! [X2] :
( hskp9
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_204,negated_conjecture,
( epred23_0
| c3_1(X1)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_124])]) ).
cnf(c_0_205,negated_conjecture,
( c0_1(a152)
| ~ hskp23 ),
clause57 ).
fof(c_0_206,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp3
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_207,negated_conjecture,
( epred35_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_167]) ).
cnf(c_0_208,negated_conjecture,
( epred24_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_168]) ).
cnf(c_0_209,negated_conjecture,
( c0_1(a112)
| ~ hskp13 ),
clause71 ).
cnf(c_0_210,negated_conjecture,
( c3_1(a112)
| ~ hskp13 ),
clause72 ).
cnf(c_0_211,negated_conjecture,
( ~ c1_1(a112)
| ~ hskp13 ),
clause109 ).
cnf(c_0_212,negated_conjecture,
( c1_1(X1)
| hskp13
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_124])]) ).
cnf(c_0_213,negated_conjecture,
( c3_1(a97)
| ~ hskp1 ),
clause88 ).
cnf(c_0_214,negated_conjecture,
( c2_1(a97)
| ~ hskp1 ),
clause87 ).
cnf(c_0_215,negated_conjecture,
( ~ c1_1(a97)
| ~ hskp1 ),
clause129 ).
fof(c_0_216,plain,
( ~ epred33_0
<=> ! [X3] :
( c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_217,negated_conjecture,
( epred34_0
| ~ c3_1(a152)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_218,negated_conjecture,
( epred20_0
| c3_1(a152)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_171]),c_0_172]) ).
cnf(c_0_219,negated_conjecture,
( c1_1(a118)
| ~ hskp16 ),
clause67 ).
cnf(c_0_220,negated_conjecture,
( ~ c2_1(a118)
| ~ hskp16 ),
clause104 ).
cnf(c_0_221,negated_conjecture,
( ~ c3_1(a118)
| ~ hskp16 ),
clause105 ).
cnf(c_0_222,negated_conjecture,
( epred2_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_174]) ).
cnf(c_0_223,negated_conjecture,
( epred10_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_175]) ).
cnf(c_0_224,negated_conjecture,
( c0_1(a115)
| ~ hskp14 ),
clause70 ).
cnf(c_0_225,negated_conjecture,
( ~ c2_1(a115)
| ~ hskp14 ),
clause107 ).
cnf(c_0_226,negated_conjecture,
( ~ c3_1(a115)
| ~ hskp14 ),
clause108 ).
cnf(c_0_227,negated_conjecture,
( epred17_0
| epred1_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_228,negated_conjecture,
( epred30_0
| hskp12
| hskp14 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
fof(c_0_229,plain,
( ~ epred19_0
<=> ! [X1] :
( hskp5
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_230,negated_conjecture,
( c3_1(a116)
| ~ hskp15 ),
clause69 ).
cnf(c_0_231,negated_conjecture,
( ~ c0_1(a116)
| ~ hskp15 ),
clause106 ).
cnf(c_0_232,negated_conjecture,
( epred39_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_180]) ).
cnf(c_0_233,negated_conjecture,
( c1_1(a116)
| ~ hskp15 ),
clause68 ).
cnf(c_0_234,negated_conjecture,
( epred22_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_181]) ).
cnf(c_0_235,negated_conjecture,
( epred40_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_182]) ).
cnf(c_0_236,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_124])]) ).
cnf(c_0_237,negated_conjecture,
( epred18_0
| ~ c1_1(a104)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).
cnf(c_0_238,negated_conjecture,
( epred11_0
| c1_1(a104)
| hskp0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_187]),c_0_188]) ).
cnf(c_0_239,negated_conjecture,
( epred13_0
| c2_1(X1)
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_189]),c_0_124])]) ).
cnf(c_0_240,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause164 ).
cnf(c_0_241,negated_conjecture,
( epred27_0
| epred6_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_242,negated_conjecture,
( epred32_0
| epred31_0
| epred27_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_243,negated_conjecture,
( c0_1(a105)
| ~ hskp9 ),
clause78 ).
cnf(c_0_244,negated_conjecture,
( c2_1(a105)
| ~ hskp9 ),
clause79 ).
cnf(c_0_245,negated_conjecture,
( epred15_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_194]) ).
cnf(c_0_246,negated_conjecture,
( ~ c1_1(a105)
| ~ hskp9 ),
clause114 ).
cnf(c_0_247,negated_conjecture,
( epred41_0
| ~ c2_1(a98)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]) ).
cnf(c_0_248,negated_conjecture,
( epred4_0
| c2_1(a98)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_198]),c_0_199]) ).
cnf(c_0_249,negated_conjecture,
( epred20_0
| c2_1(a98)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_197]),c_0_199]) ).
fof(c_0_250,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp6
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_251,negated_conjecture,
( epred43_0
| epred18_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_185]) ).
cnf(c_0_252,negated_conjecture,
( epred18_0
| epred12_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_201,c_0_185]) ).
cnf(c_0_253,negated_conjecture,
( epred38_0
| ~ c1_1(a104)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_202]),c_0_188]) ).
fof(c_0_254,plain,
( ~ epred25_0
<=> ! [X2] :
( hskp8
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_255,negated_conjecture,
( c1_1(a153)
| ~ hskp24 ),
clause56 ).
cnf(c_0_256,negated_conjecture,
( ~ c2_1(a153)
| ~ hskp24 ),
clause92 ).
cnf(c_0_257,negated_conjecture,
( epred9_0
| c0_1(X1)
| c3_1(X1)
| hskp9
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_124])]) ).
cnf(c_0_258,negated_conjecture,
( ~ c0_1(a153)
| ~ hskp24 ),
clause91 ).
cnf(c_0_259,negated_conjecture,
( epred23_0
| c3_1(a152)
| hskp16
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_171]) ).
cnf(c_0_260,negated_conjecture,
( epred21_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_124])]) ).
cnf(c_0_261,negated_conjecture,
( epred35_0
| epred34_0
| c2_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_207]) ).
fof(c_0_262,plain,
( ~ epred14_0
<=> ! [X2] :
( hskp12
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_263,negated_conjecture,
( epred24_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_211]) ).
cnf(c_0_264,negated_conjecture,
( hskp13
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]),c_0_215]) ).
cnf(c_0_265,negated_conjecture,
( epred33_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_216]) ).
cnf(c_0_266,negated_conjecture,
( epred34_0
| epred20_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_267,negated_conjecture,
( hskp23
| hskp24
| hskp16 ),
clause31 ).
cnf(c_0_268,negated_conjecture,
( epred20_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_269,negated_conjecture,
( epred2_0
| ~ c2_1(a103)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_139]),c_0_140]) ).
cnf(c_0_270,negated_conjecture,
( epred10_0
| c2_1(a103)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_139]),c_0_141]) ).
cnf(c_0_271,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause160 ).
cnf(c_0_272,negated_conjecture,
( epred10_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),c_0_226]) ).
cnf(c_0_273,negated_conjecture,
( epred30_0
| epred17_0
| epred1_0
| hskp14 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_274,negated_conjecture,
( epred12_0
| ~ c1_1(a115)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_224]),c_0_225]) ).
cnf(c_0_275,negated_conjecture,
( epred1_0
| c1_1(a115)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_224]),c_0_226]) ).
fof(c_0_276,plain,
( ~ epred5_0
<=> ! [X1] :
( hskp14
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_277,negated_conjecture,
( epred19_0
| c3_1(X1)
| hskp5
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_124])]) ).
cnf(c_0_278,negated_conjecture,
( c1_1(a125)
| ~ hskp18 ),
clause66 ).
cnf(c_0_279,negated_conjecture,
( ~ c3_1(a125)
| ~ hskp18 ),
clause100 ).
cnf(c_0_280,negated_conjecture,
( c0_1(a125)
| ~ hskp18 ),
clause65 ).
cnf(c_0_281,negated_conjecture,
( epred17_0
| hskp7
| ~ c2_1(a116)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_230]),c_0_231]) ).
cnf(c_0_282,negated_conjecture,
( epred39_0
| c2_1(a116)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_230]) ).
cnf(c_0_283,negated_conjecture,
( epred22_0
| ~ c2_1(a112)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_209]),c_0_210]) ).
cnf(c_0_284,negated_conjecture,
( epred40_0
| c2_1(a112)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_209]),c_0_210]) ).
cnf(c_0_285,negated_conjecture,
( hskp1
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_236]),c_0_134]),c_0_135]) ).
cnf(c_0_286,negated_conjecture,
( epred18_0
| epred11_0
| hskp0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_287,negated_conjecture,
( epred40_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_152]),c_0_153]),c_0_155]) ).
cnf(c_0_288,negated_conjecture,
( hskp20
| hskp3
| hskp8 ),
clause36 ).
cnf(c_0_289,negated_conjecture,
( epred32_0
| epred27_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_233]),c_0_230]) ).
cnf(c_0_290,negated_conjecture,
( epred13_0
| hskp15
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_152]),c_0_153]),c_0_155]) ).
cnf(c_0_291,negated_conjecture,
( ~ epred13_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_240,c_0_189]),c_0_129]) ).
cnf(c_0_292,negated_conjecture,
( epred32_0
| epred31_0
| epred27_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_293,negated_conjecture,
( epred22_0
| ~ c3_1(a105)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_243]),c_0_244]) ).
cnf(c_0_294,negated_conjecture,
( epred15_0
| c3_1(a105)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_243]),c_0_246]) ).
cnf(c_0_295,negated_conjecture,
( epred41_0
| epred4_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_296,negated_conjecture,
( hskp9
| hskp14
| hskp2 ),
clause34 ).
cnf(c_0_297,negated_conjecture,
( epred41_0
| epred20_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_247,c_0_249]) ).
cnf(c_0_298,negated_conjecture,
( epred3_0
| c0_1(X1)
| c2_1(X1)
| hskp6
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_250]),c_0_124])]) ).
cnf(c_0_299,negated_conjecture,
( epred43_0
| epred18_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_171]),c_0_172]) ).
cnf(c_0_300,negated_conjecture,
( epred43_0
| epred18_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_219]),c_0_220]) ).
cnf(c_0_301,negated_conjecture,
( epred18_0
| epred12_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_171]),c_0_172]) ).
cnf(c_0_302,negated_conjecture,
( epred18_0
| epred12_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_219]),c_0_220]) ).
cnf(c_0_303,negated_conjecture,
( epred38_0
| epred11_0
| hskp0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_253,c_0_238]) ).
cnf(c_0_304,negated_conjecture,
( epred25_0
| c3_1(X1)
| c2_1(X1)
| hskp8
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_124])]) ).
cnf(c_0_305,negated_conjecture,
( epred34_0
| ~ c3_1(a153)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_255]),c_0_256]) ).
cnf(c_0_306,negated_conjecture,
( epred9_0
| c3_1(a153)
| hskp9
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_255]),c_0_258]) ).
cnf(c_0_307,negated_conjecture,
( epred34_0
| epred23_0
| hskp16
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_217,c_0_259]) ).
cnf(c_0_308,negated_conjecture,
( epred15_0
| epred11_0
| c3_1(X1)
| c1_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_245,c_0_187]) ).
cnf(c_0_309,negated_conjecture,
( epred21_0
| hskp3
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_260]),c_0_134]),c_0_135]) ).
cnf(c_0_310,negated_conjecture,
( epred35_0
| epred34_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_261]),c_0_153]) ).
cnf(c_0_311,negated_conjecture,
( c2_1(a165)
| ~ hskp29 ),
clause44 ).
cnf(c_0_312,negated_conjecture,
( c1_1(X1)
| hskp14
| hskp10
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause143 ).
cnf(c_0_313,negated_conjecture,
( epred14_0
| c0_1(X1)
| hskp12
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_262]),c_0_124])]) ).
cnf(c_0_314,negated_conjecture,
( c3_1(a106)
| ~ hskp10 ),
clause77 ).
cnf(c_0_315,negated_conjecture,
( c1_1(a106)
| ~ hskp10 ),
clause76 ).
fof(c_0_316,plain,
( ~ epred16_0
<=> ! [X1] :
( hskp10
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_317,negated_conjecture,
( epred24_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
fof(c_0_318,plain,
( ~ epred8_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_319,negated_conjecture,
( epred33_0
| epred1_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_265]) ).
cnf(c_0_320,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp20
| hskp10
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause139 ).
cnf(c_0_321,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp1
| hskp17
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause141 ).
cnf(c_0_322,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp12
| hskp5
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause140 ).
cnf(c_0_323,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| hskp3
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause136 ).
cnf(c_0_324,negated_conjecture,
( c1_1(X1)
| hskp26
| hskp17
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause145 ).
cnf(c_0_325,negated_conjecture,
( c1_1(X1)
| hskp18
| hskp14
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause146 ).
cnf(c_0_326,negated_conjecture,
( c1_1(X1)
| hskp16
| hskp8
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause144 ).
cnf(c_0_327,negated_conjecture,
( hskp9
| hskp22
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause153 ).
fof(c_0_328,plain,
( ~ epred44_0
<=> ! [X3] :
( c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_329,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X3)
| c2_1(X3)
| c3_1(X3)
| c0_1(X2)
| c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause172 ).
cnf(c_0_330,negated_conjecture,
( epred20_0
| c3_1(a153)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_255]),c_0_256]) ).
cnf(c_0_331,negated_conjecture,
( epred34_0
| epred20_0
| hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).
cnf(c_0_332,negated_conjecture,
( epred10_0
| epred2_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_333,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_271,c_0_126]),c_0_174]) ).
cnf(c_0_334,negated_conjecture,
( epred30_0
| epred17_0
| epred10_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
fof(c_0_335,plain,
( ~ epred28_0
<=> ! [X2] :
( hskp1
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_336,negated_conjecture,
( epred12_0
| epred1_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_337,negated_conjecture,
( ~ c0_1(a124)
| ~ hskp17 ),
clause101 ).
cnf(c_0_338,negated_conjecture,
( ~ c3_1(a124)
| ~ hskp17 ),
clause103 ).
cnf(c_0_339,negated_conjecture,
( ~ c1_1(a124)
| ~ hskp17 ),
clause102 ).
cnf(c_0_340,negated_conjecture,
( ~ c1_1(a99)
| ~ hskp3 ),
clause125 ).
cnf(c_0_341,negated_conjecture,
( epred11_0
| epred1_0
| c3_1(X1)
| c1_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_138,c_0_187]) ).
cnf(c_0_342,negated_conjecture,
( ~ c3_1(a99)
| ~ hskp3 ),
clause126 ).
cnf(c_0_343,negated_conjecture,
( epred41_0
| ~ c1_1(a109)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_196]),c_0_148]) ).
cnf(c_0_344,negated_conjecture,
( epred11_0
| c1_1(a109)
| hskp0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_187]),c_0_149]) ).
cnf(c_0_345,negated_conjecture,
( epred5_0
| c2_1(X1)
| c1_1(X1)
| hskp14
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_276]),c_0_124])]) ).
cnf(c_0_346,negated_conjecture,
( c3_1(a101)
| ~ hskp5 ),
clause83 ).
cnf(c_0_347,negated_conjecture,
( ~ c1_1(a101)
| ~ hskp5 ),
clause121 ).
cnf(c_0_348,negated_conjecture,
( ~ c2_1(a101)
| ~ hskp5 ),
clause122 ).
cnf(c_0_349,negated_conjecture,
( epred19_0
| hskp5
| ~ c2_1(a125)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]) ).
cnf(c_0_350,negated_conjecture,
( epred12_0
| c2_1(a125)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_280]),c_0_278]) ).
cnf(c_0_351,negated_conjecture,
( epred33_0
| epred6_0
| c2_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_265]) ).
cnf(c_0_352,negated_conjecture,
( epred39_0
| epred17_0
| hskp7
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_353,negated_conjecture,
( epred40_0
| epred22_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_354,negated_conjecture,
( epred18_0
| epred11_0
| hskp1
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_355,negated_conjecture,
( epred40_0
| hskp3
| hskp8 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_356,negated_conjecture,
( c1_1(a102)
| ~ hskp6 ),
clause81 ).
cnf(c_0_357,negated_conjecture,
( c2_1(a102)
| ~ hskp6 ),
clause82 ).
cnf(c_0_358,negated_conjecture,
( ~ c3_1(a102)
| ~ hskp6 ),
clause120 ).
cnf(c_0_359,negated_conjecture,
( c2_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
clause178 ).
cnf(c_0_360,negated_conjecture,
( epred32_0
| epred27_0
| epred13_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_361,negated_conjecture,
( epred32_0
| epred31_0
| epred27_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
fof(c_0_362,plain,
( ~ epred7_0
<=> ! [X2] :
( hskp10
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_363,negated_conjecture,
( epred2_0
| ~ c2_1(a112)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_209]),c_0_211]) ).
cnf(c_0_364,negated_conjecture,
( epred35_0
| c2_1(a112)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_207]),c_0_210]) ).
cnf(c_0_365,negated_conjecture,
( epred6_0
| c2_1(a112)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_209]),c_0_211]) ).
fof(c_0_366,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_367,plain,
( ~ epred42_0
<=> ! [X3] :
( c3_1(X3)
| c0_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_368,negated_conjecture,
( epred15_0
| c1_1(a115)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_224]),c_0_226]) ).
cnf(c_0_369,negated_conjecture,
( epred22_0
| epred15_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_370,negated_conjecture,
( epred41_0
| epred4_0
| hskp9
| hskp14 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_371,negated_conjecture,
( epred41_0
| epred20_0
| hskp9
| hskp14 ),
inference(spm,[status(thm)],[c_0_297,c_0_296]) ).
cnf(c_0_372,negated_conjecture,
( epred3_0
| c2_1(a98)
| hskp6
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_197]),c_0_195]) ).
cnf(c_0_373,negated_conjecture,
( epred27_0
| ~ c3_1(a152)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_205]),c_0_171]) ).
cnf(c_0_374,negated_conjecture,
( epred43_0
| epred18_0
| hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_267]),c_0_300]) ).
cnf(c_0_375,negated_conjecture,
( epred18_0
| epred12_0
| hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_267]),c_0_302]) ).
cnf(c_0_376,negated_conjecture,
( epred38_0
| epred31_0
| epred11_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_159,c_0_303]) ).
cnf(c_0_377,negated_conjecture,
( epred25_0
| hskp8
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_224]),c_0_225]),c_0_226]) ).
cnf(c_0_378,negated_conjecture,
( epred34_0
| epred9_0
| hskp9
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_379,negated_conjecture,
( epred34_0
| epred23_0
| hskp16
| hskp24 ),
inference(spm,[status(thm)],[c_0_307,c_0_267]) ).
cnf(c_0_380,negated_conjecture,
( epred32_0
| epred12_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_201,c_0_131]) ).
cnf(c_0_381,negated_conjecture,
( epred30_0
| epred2_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_147]) ).
cnf(c_0_382,negated_conjecture,
( epred30_0
| epred1_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_147]) ).
cnf(c_0_383,negated_conjecture,
( epred15_0
| epred11_0
| epred9_0
| c0_1(X1)
| c3_1(X1)
| hskp0
| hskp9 ),
inference(spm,[status(thm)],[c_0_257,c_0_308]) ).
cnf(c_0_384,negated_conjecture,
( epred21_0
| epred18_0
| epred11_0
| hskp3
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_309,c_0_286]) ).
cnf(c_0_385,negated_conjecture,
( epred35_0
| epred34_0
| hskp3
| hskp8 ),
inference(spm,[status(thm)],[c_0_310,c_0_288]) ).
cnf(c_0_386,negated_conjecture,
( epred25_0
| epred18_0
| c3_1(X1)
| c2_1(X1)
| hskp8
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_304,c_0_185]) ).
cnf(c_0_387,negated_conjecture,
( epred17_0
| c0_1(a165)
| hskp7
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_158]),c_0_311]) ).
cnf(c_0_388,negated_conjecture,
( c1_1(X1)
| hskp10
| hskp14
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_124])]) ).
cnf(c_0_389,negated_conjecture,
( epred17_0
| c0_1(a97)
| hskp7
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_213]),c_0_214]) ).
cnf(c_0_390,negated_conjecture,
( epred14_0
| c0_1(a106)
| hskp12
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).
cnf(c_0_391,negated_conjecture,
( epred11_0
| epred2_0
| c3_1(X1)
| c1_1(X1)
| hskp0
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_187]) ).
cnf(c_0_392,negated_conjecture,
( c2_1(a99)
| ~ hskp3 ),
clause85 ).
cnf(c_0_393,negated_conjecture,
( epred16_0
| c3_1(X1)
| hskp10
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_316]),c_0_124])]) ).
cnf(c_0_394,negated_conjecture,
( epred9_0
| c0_1(a118)
| hskp9
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_219]),c_0_221]) ).
cnf(c_0_395,negated_conjecture,
( epred24_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_317,c_0_236]) ).
cnf(c_0_396,negated_conjecture,
( epred8_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_318]) ).
cnf(c_0_397,negated_conjecture,
( epred33_0
| epred20_0
| epred1_0
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_319]) ).
cnf(c_0_398,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp10
| hskp20
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_124])]) ).
cnf(c_0_399,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp1
| hskp17
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_124])]) ).
cnf(c_0_400,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp5
| hskp12
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_124])]) ).
cnf(c_0_401,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| hskp3
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_124])]) ).
cnf(c_0_402,negated_conjecture,
( c3_1(a149)
| ~ hskp22 ),
clause59 ).
cnf(c_0_403,negated_conjecture,
( c1_1(X1)
| hskp17
| hskp26
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_124])]) ).
cnf(c_0_404,negated_conjecture,
( c1_1(X1)
| hskp14
| hskp18
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_124])]) ).
cnf(c_0_405,negated_conjecture,
( c1_1(X1)
| hskp8
| hskp16
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_124])]) ).
cnf(c_0_406,negated_conjecture,
( hskp9
| hskp22
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_124])]) ).
cnf(c_0_407,negated_conjecture,
( epred44_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_328]),c_0_124])]) ).
cnf(c_0_408,negated_conjecture,
( ~ epred31_0
| ~ epred30_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_329,c_0_128]),c_0_137]),c_0_125]) ).
cnf(c_0_409,negated_conjecture,
( epred34_0
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_330]),c_0_331]) ).
cnf(c_0_410,negated_conjecture,
( epred34_0
| c2_1(a116)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_233]),c_0_230]) ).
cnf(c_0_411,negated_conjecture,
( ~ c2_1(a106)
| ~ hskp10 ),
clause113 ).
cnf(c_0_412,negated_conjecture,
( epred17_0
| epred10_0
| epred2_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_332,c_0_177]) ).
cnf(c_0_413,negated_conjecture,
( epred30_0
| epred17_0
| epred10_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_414,negated_conjecture,
( epred28_0
| c0_1(X1)
| c1_1(X1)
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_335]),c_0_124])]) ).
cnf(c_0_415,negated_conjecture,
( epred30_0
| epred17_0
| epred12_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_273]) ).
cnf(c_0_416,negated_conjecture,
( epred30_0
| ~ c2_1(a98)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_147]),c_0_199]) ).
cnf(c_0_417,negated_conjecture,
( epred18_0
| c2_1(a98)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_185]),c_0_197]) ).
cnf(c_0_418,negated_conjecture,
( epred30_0
| ~ c2_1(a124)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_147]),c_0_338]) ).
cnf(c_0_419,negated_conjecture,
( epred21_0
| c2_1(a124)
| hskp3
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_260]),c_0_338]) ).
cnf(c_0_420,negated_conjecture,
( epred31_0
| epred18_0
| epred11_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_159,c_0_286]) ).
cnf(c_0_421,negated_conjecture,
( epred11_0
| epred1_0
| hskp0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_342]) ).
cnf(c_0_422,negated_conjecture,
( epred41_0
| epred11_0
| hskp0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_423,negated_conjecture,
( epred5_0
| hskp14
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_347]),c_0_348]) ).
cnf(c_0_424,negated_conjecture,
( epred19_0
| epred12_0
| hskp5
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_425,negated_conjecture,
( epred33_0
| epred6_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_351]),c_0_348]) ).
cnf(c_0_426,negated_conjecture,
( epred39_0
| epred17_0
| epred1_0
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_176,c_0_352]) ).
cnf(c_0_427,negated_conjecture,
( epred23_0
| hskp16
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_280]),c_0_278]),c_0_279]) ).
cnf(c_0_428,negated_conjecture,
( epred23_0
| hskp16
| ~ c1_1(a115)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_224]),c_0_226]) ).
cnf(c_0_429,negated_conjecture,
( epred40_0
| epred22_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_353,c_0_264]) ).
cnf(c_0_430,negated_conjecture,
( epred40_0
| epred18_0
| epred11_0
| hskp1
| hskp3 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_431,negated_conjecture,
( epred19_0
| hskp5
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_356]),c_0_357]),c_0_358]) ).
cnf(c_0_432,negated_conjecture,
( ~ epred43_0
| ~ epred35_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_163]),c_0_167]),c_0_122]) ).
cnf(c_0_433,negated_conjecture,
( epred32_0
| epred31_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_242]),c_0_361]) ).
cnf(c_0_434,negated_conjecture,
( epred13_0
| c2_1(a112)
| hskp15
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_209]),c_0_210]) ).
cnf(c_0_435,negated_conjecture,
( epred11_0
| hskp0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_187]),c_0_339]),c_0_338]) ).
cnf(c_0_436,negated_conjecture,
( epred7_0
| c0_1(X1)
| c3_1(X1)
| hskp10
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_362]),c_0_124])]) ).
cnf(c_0_437,negated_conjecture,
( c2_1(a103)
| hskp1
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_236]),c_0_141]) ).
cnf(c_0_438,negated_conjecture,
( hskp14
| hskp1
| hskp3 ),
clause39 ).
cnf(c_0_439,negated_conjecture,
( epred35_0
| epred2_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_440,negated_conjecture,
( epred22_0
| epred6_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_283,c_0_365]) ).
cnf(c_0_441,negated_conjecture,
( epred45_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_366]) ).
cnf(c_0_442,negated_conjecture,
( c0_1(a94)
| ~ hskp26 ),
clause52 ).
cnf(c_0_443,negated_conjecture,
( c1_1(a94)
| ~ hskp26 ),
clause53 ).
cnf(c_0_444,negated_conjecture,
( c2_1(a94)
| ~ hskp26 ),
clause54 ).
cnf(c_0_445,negated_conjecture,
( epred42_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_367]) ).
cnf(c_0_446,negated_conjecture,
( epred15_0
| epred12_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_274,c_0_368]) ).
cnf(c_0_447,negated_conjecture,
( epred41_0
| epred22_0
| epred15_0
| epred4_0
| hskp14 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_448,negated_conjecture,
( epred41_0
| epred22_0
| epred20_0
| epred15_0
| hskp14 ),
inference(spm,[status(thm)],[c_0_369,c_0_371]) ).
cnf(c_0_449,negated_conjecture,
( epred5_0
| c1_1(a133)
| hskp14
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_153]),c_0_155]) ).
cnf(c_0_450,negated_conjecture,
( epred41_0
| epred3_0
| hskp6
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_247,c_0_372]) ).
cnf(c_0_451,negated_conjecture,
( epred2_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_243]),c_0_244]),c_0_246]) ).
cnf(c_0_452,negated_conjecture,
( epred27_0
| epred20_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_373,c_0_218]) ).
cnf(c_0_453,negated_conjecture,
( epred1_0
| c3_1(a105)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_243]),c_0_246]) ).
cnf(c_0_454,negated_conjecture,
( epred12_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_205]),c_0_171]),c_0_172]) ).
cnf(c_0_455,negated_conjecture,
( epred6_0
| c2_1(a103)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_139]),c_0_140]) ).
cnf(c_0_456,negated_conjecture,
( c0_1(X1)
| hskp26
| hskp11
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause142 ).
cnf(c_0_457,negated_conjecture,
( epred43_0
| epred18_0
| c2_1(a153) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_255]),c_0_374]) ).
cnf(c_0_458,negated_conjecture,
( epred31_0
| epred20_0
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_133]) ).
cnf(c_0_459,negated_conjecture,
( epred18_0
| epred12_0
| c2_1(a153) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_255]),c_0_375]) ).
cnf(c_0_460,negated_conjecture,
( c2_1(X2)
| c0_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
clause179 ).
cnf(c_0_461,negated_conjecture,
( c2_1(X2)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c1_1(X3) ),
clause180 ).
cnf(c_0_462,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
clause177 ).
cnf(c_0_463,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause176 ).
cnf(c_0_464,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X3) ),
clause175 ).
cnf(c_0_465,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause173 ).
cnf(c_0_466,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause167 ).
cnf(c_0_467,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| hskp8
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause170 ).
cnf(c_0_468,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| hskp16
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause169 ).
cnf(c_0_469,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause163 ).
cnf(c_0_470,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause166 ).
cnf(c_0_471,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp7
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause161 ).
cnf(c_0_472,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp10
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause165 ).
cnf(c_0_473,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause162 ).
cnf(c_0_474,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause156 ).
cnf(c_0_475,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp9
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause157 ).
cnf(c_0_476,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp10
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause158 ).
cnf(c_0_477,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp14
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause159 ).
cnf(c_0_478,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp6
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause155 ).
cnf(c_0_479,negated_conjecture,
( epred38_0
| epred31_0
| epred11_0
| epred25_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_480,negated_conjecture,
( epred38_0
| epred11_0
| epred1_0
| c3_1(a104)
| hskp0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_253,c_0_341]) ).
cnf(c_0_481,negated_conjecture,
( epred34_0
| epred9_0
| hskp9
| epred23_0
| hskp16 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_482,negated_conjecture,
( epred32_0
| epred12_0
| c2_1(a106)
| ~ c3_1(a106)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_380,c_0_315]) ).
cnf(c_0_483,negated_conjecture,
( epred30_0
| epred2_0
| c3_1(a99)
| ~ hskp3
| ~ c2_1(a99) ),
inference(spm,[status(thm)],[c_0_340,c_0_381]) ).
cnf(c_0_484,negated_conjecture,
( epred30_0
| epred1_0
| c3_1(a99)
| ~ hskp3
| ~ c2_1(a99) ),
inference(spm,[status(thm)],[c_0_340,c_0_382]) ).
cnf(c_0_485,negated_conjecture,
( epred15_0
| epred11_0
| epred9_0
| c3_1(a104)
| hskp0
| hskp9
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_184,c_0_383]) ).
cnf(c_0_486,negated_conjecture,
( epred21_0
| epred18_0
| epred11_0
| hskp3
| epred35_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_487,negated_conjecture,
( epred21_0
| epred18_0
| epred11_0
| hskp3
| epred25_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_384,c_0_377]) ).
cnf(c_0_488,negated_conjecture,
( epred25_0
| epred18_0
| c3_1(a118)
| c2_1(a118)
| hskp8
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_386,c_0_219]) ).
cnf(c_0_489,negated_conjecture,
( epred27_0
| epred17_0
| hskp7
| ~ c3_1(a165)
| ~ c1_1(a165)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_130,c_0_387]) ).
cnf(c_0_490,negated_conjecture,
( epred22_0
| epred17_0
| hskp7
| ~ c3_1(a165)
| ~ c2_1(a165)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_234,c_0_387]) ).
cnf(c_0_491,negated_conjecture,
( c1_1(a97)
| hskp10
| hskp14
| epred17_0
| hskp7
| ~ c3_1(a97)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_492,negated_conjecture,
( epred22_0
| epred17_0
| hskp7
| ~ c3_1(a97)
| ~ c2_1(a97)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_234,c_0_389]) ).
cnf(c_0_493,negated_conjecture,
( epred2_0
| c1_1(a97)
| epred17_0
| hskp7
| ~ c2_1(a97)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_222,c_0_389]) ).
cnf(c_0_494,negated_conjecture,
( epred12_0
| c2_1(a106)
| epred14_0
| hskp12
| ~ c1_1(a106)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_201,c_0_390]) ).
cnf(c_0_495,negated_conjecture,
( epred11_0
| epred2_0
| c3_1(a99)
| c1_1(a99)
| hskp0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_496,negated_conjecture,
( epred9_0
| c0_1(a109)
| c3_1(a109)
| hskp9
| epred11_0
| hskp0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_257,c_0_344]) ).
cnf(c_0_497,negated_conjecture,
( epred14_0
| c0_1(a153)
| hskp12
| epred9_0
| hskp9
| ~ c1_1(a153)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_313,c_0_306]) ).
cnf(c_0_498,negated_conjecture,
( epred16_0
| c3_1(a118)
| hskp10
| epred9_0
| hskp9
| ~ c1_1(a118)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_499,negated_conjecture,
( epred12_0
| c2_1(a118)
| epred9_0
| hskp9
| ~ c1_1(a118)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_201,c_0_394]) ).
cnf(c_0_500,negated_conjecture,
( epred24_0
| c3_1(a103)
| c2_1(a103)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_140,c_0_395]) ).
cnf(c_0_501,negated_conjecture,
( epred41_0
| epred8_0
| c3_1(a109)
| ~ hskp11
| ~ c2_1(a109) ),
inference(spm,[status(thm)],[c_0_343,c_0_396]) ).
cnf(c_0_502,negated_conjecture,
( epred33_0
| epred20_0
| epred1_0
| c3_1(a96)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_134,c_0_397]) ).
cnf(c_0_503,negated_conjecture,
( epred14_0
| c0_1(a153)
| hskp12
| epred20_0
| ~ c1_1(a153)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_313,c_0_330]) ).
cnf(c_0_504,negated_conjecture,
( epred20_0
| c3_1(a115)
| c2_1(a115)
| epred15_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_173,c_0_368]) ).
cnf(c_0_505,negated_conjecture,
( epred12_0
| c3_1(a115)
| c2_1(a115)
| hskp1
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_274,c_0_236]) ).
cnf(c_0_506,negated_conjecture,
( epred12_0
| epred31_0
| c3_1(a115)
| c2_1(a115)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_274,c_0_133]) ).
cnf(c_0_507,negated_conjecture,
( epred12_0
| epred21_0
| c3_1(a115)
| c2_1(a115)
| hskp3
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_274,c_0_260]) ).
cnf(c_0_508,negated_conjecture,
( epred39_0
| c2_1(a133)
| epred6_0
| ~ c3_1(a133)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_232,c_0_191]) ).
cnf(c_0_509,negated_conjecture,
( epred34_0
| c2_1(a133)
| epred6_0
| ~ c3_1(a133)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_170,c_0_191]) ).
cnf(c_0_510,negated_conjecture,
( c3_1(a115)
| c2_1(a115)
| hskp10
| hskp20
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_398,c_0_224]) ).
cnf(c_0_511,negated_conjecture,
( c3_1(a115)
| c2_1(a115)
| hskp1
| hskp17
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_399,c_0_224]) ).
cnf(c_0_512,negated_conjecture,
( c3_1(a115)
| c2_1(a115)
| hskp5
| hskp12
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_400,c_0_224]) ).
cnf(c_0_513,negated_conjecture,
( c0_1(a149)
| c1_1(a149)
| hskp2
| hskp3
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_514,negated_conjecture,
( c1_1(a97)
| hskp17
| hskp26
| ~ c2_1(a97)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_403,c_0_213]) ).
cnf(c_0_515,negated_conjecture,
( c1_1(a97)
| hskp14
| hskp18
| ~ c2_1(a97)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_404,c_0_213]) ).
cnf(c_0_516,negated_conjecture,
( c1_1(a112)
| hskp8
| hskp16
| ~ c3_1(a112)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_405,c_0_209]) ).
cnf(c_0_517,negated_conjecture,
( c1_1(a112)
| hskp10
| hskp14
| ~ c3_1(a112)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_388,c_0_209]) ).
cnf(c_0_518,negated_conjecture,
( hskp9
| hskp22
| ~ c3_1(a116)
| ~ c2_1(a116)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_406,c_0_233]) ).
cnf(c_0_519,negated_conjecture,
( epred22_0
| epred44_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_407]) ).
cnf(c_0_520,negated_conjecture,
( epred43_0
| c2_1(a115)
| ~ c1_1(a115)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_200,c_0_224]) ).
cnf(c_0_521,negated_conjecture,
( epred38_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_202]),c_0_197]),c_0_199]) ).
cnf(c_0_522,negated_conjecture,
( epred34_0
| ~ epred31_0
| ~ epred30_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_523,negated_conjecture,
( epred34_0
| epred17_0
| hskp7
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_281,c_0_410]) ).
cnf(c_0_524,negated_conjecture,
( epred34_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_315]),c_0_314]),c_0_411]) ).
cnf(c_0_525,negated_conjecture,
( epred30_0
| epred17_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_228]),c_0_272]),c_0_413]) ).
cnf(c_0_526,negated_conjecture,
( epred28_0
| c1_1(a109)
| hskp1
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_148]),c_0_146]) ).
cnf(c_0_527,negated_conjecture,
( epred30_0
| epred17_0
| epred12_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_415]) ).
cnf(c_0_528,negated_conjecture,
( epred30_0
| epred18_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_529,negated_conjecture,
( epred30_0
| epred21_0
| hskp3
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_530,negated_conjecture,
( epred40_0
| epred21_0
| epred18_0
| epred11_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_384,c_0_355]) ).
cnf(c_0_531,negated_conjecture,
( epred31_0
| epred25_0
| epred18_0
| epred11_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_420,c_0_377]) ).
cnf(c_0_532,negated_conjecture,
( epred31_0
| epred11_0
| epred1_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_159,c_0_421]) ).
cnf(c_0_533,negated_conjecture,
( epred41_0
| epred21_0
| epred11_0
| hskp3
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_309,c_0_422]) ).
cnf(c_0_534,negated_conjecture,
( epred19_0
| epred12_0
| epred5_0
| hskp14
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_535,negated_conjecture,
( epred33_0
| epred19_0
| epred12_0
| epred6_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_425,c_0_424]) ).
cnf(c_0_536,negated_conjecture,
( epred39_0
| epred17_0
| epred13_0
| epred1_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_426,c_0_290]) ).
cnf(c_0_537,negated_conjecture,
( epred23_0
| epred20_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_268,c_0_427]) ).
cnf(c_0_538,negated_conjecture,
( epred23_0
| epred1_0
| hskp16
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_428,c_0_275]) ).
cnf(c_0_539,negated_conjecture,
( epred21_0
| hskp3
| hskp20
| hskp29 ),
inference(spm,[status(thm)],[c_0_309,c_0_160]) ).
cnf(c_0_540,negated_conjecture,
( epred40_0
| epred22_0
| epred18_0
| epred11_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_541,negated_conjecture,
( epred19_0
| epred5_0
| hskp14
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_423,c_0_431]) ).
cnf(c_0_542,negated_conjecture,
( epred33_0
| epred19_0
| epred6_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_425,c_0_431]) ).
cnf(c_0_543,negated_conjecture,
( epred32_0
| epred31_0
| ~ epred43_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_432,c_0_433]) ).
cnf(c_0_544,negated_conjecture,
( epred13_0
| epred2_0
| hskp15
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_363,c_0_434]) ).
cnf(c_0_545,negated_conjecture,
( epred41_0
| epred31_0
| epred11_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_159,c_0_422]) ).
cnf(c_0_546,negated_conjecture,
( epred11_0
| hskp1
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_285,c_0_435]) ).
cnf(c_0_547,negated_conjecture,
( epred31_0
| epred11_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_159,c_0_435]) ).
cnf(c_0_548,negated_conjecture,
( epred9_0
| hskp9
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_197]),c_0_199]),c_0_195]) ).
cnf(c_0_549,negated_conjecture,
( epred7_0
| hskp10
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_148]),c_0_149]),c_0_146]) ).
cnf(c_0_550,negated_conjecture,
( epred2_0
| hskp1
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_269,c_0_437]) ).
cnf(c_0_551,negated_conjecture,
( epred24_0
| hskp3
| hskp14 ),
inference(spm,[status(thm)],[c_0_317,c_0_438]) ).
cnf(c_0_552,negated_conjecture,
( epred35_0
| epred2_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_439,c_0_264]) ).
cnf(c_0_553,negated_conjecture,
( epred22_0
| epred6_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_440,c_0_264]) ).
cnf(c_0_554,negated_conjecture,
( epred45_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_443]),c_0_444]) ).
cnf(c_0_555,negated_conjecture,
( epred42_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_445]),c_0_148]),c_0_149]) ).
cnf(c_0_556,negated_conjecture,
( epred41_0
| epred22_0
| epred15_0
| epred12_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_557,negated_conjecture,
( epred41_0
| epred22_0
| epred20_0
| epred15_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_448]) ).
cnf(c_0_558,negated_conjecture,
( epred27_0
| epred5_0
| hskp14
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_190,c_0_449]) ).
cnf(c_0_559,negated_conjecture,
( epred41_0
| epred3_0
| hskp6
| hskp9
| hskp14 ),
inference(spm,[status(thm)],[c_0_450,c_0_296]) ).
cnf(c_0_560,negated_conjecture,
( epred41_0
| epred20_0
| epred2_0
| hskp14 ),
inference(spm,[status(thm)],[c_0_451,c_0_371]) ).
cnf(c_0_561,negated_conjecture,
( epred35_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_207]),c_0_346]),c_0_348]) ).
cnf(c_0_562,negated_conjecture,
( epred27_0
| epred20_0
| hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_267]),c_0_268]) ).
cnf(c_0_563,negated_conjecture,
( epred27_0
| epred6_0
| hskp3
| hskp8 ),
inference(spm,[status(thm)],[c_0_241,c_0_288]) ).
cnf(c_0_564,negated_conjecture,
( epred22_0
| epred1_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_293,c_0_453]) ).
cnf(c_0_565,negated_conjecture,
( epred18_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_185]),c_0_255]),c_0_256]) ).
cnf(c_0_566,negated_conjecture,
( epred12_0
| hskp16
| hskp24 ),
inference(spm,[status(thm)],[c_0_454,c_0_267]) ).
cnf(c_0_567,negated_conjecture,
( epred8_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_396]),c_0_392]),c_0_342]) ).
cnf(c_0_568,negated_conjecture,
( epred6_0
| epred2_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_269,c_0_455]) ).
cnf(c_0_569,negated_conjecture,
( c0_1(X1)
| hskp11
| hskp26
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_456,c_0_124])]) ).
cnf(c_0_570,negated_conjecture,
( epred43_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_457]),c_0_374]) ).
cnf(c_0_571,negated_conjecture,
( epred32_0
| epred27_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_315]),c_0_314]) ).
cnf(c_0_572,negated_conjecture,
( epred31_0
| epred20_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_458]),c_0_226]) ).
cnf(c_0_573,negated_conjecture,
( epred18_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_459]),c_0_375]) ).
cnf(c_0_574,negated_conjecture,
( ~ epred45_0
| ~ epred44_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_328]),c_0_182]),c_0_366]) ).
cnf(c_0_575,negated_conjecture,
( ~ epred34_0
| ~ epred27_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_136]),c_0_164]),c_0_122]) ).
cnf(c_0_576,negated_conjecture,
( ~ epred42_0
| ~ epred41_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_123]),c_0_161]),c_0_367]) ).
cnf(c_0_577,negated_conjecture,
( ~ epred40_0
| ~ epred39_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_165]),c_0_180]),c_0_182]) ).
cnf(c_0_578,negated_conjecture,
( ~ epred35_0
| ~ epred34_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_136]),c_0_167]),c_0_129]) ).
cnf(c_0_579,negated_conjecture,
( ~ epred33_0
| ~ epred32_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_123]),c_0_216]),c_0_318]) ).
cnf(c_0_580,negated_conjecture,
( ~ epred28_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_335]),c_0_181]) ).
cnf(c_0_581,negated_conjecture,
( ~ epred25_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_254]),c_0_181]) ).
cnf(c_0_582,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_166]),c_0_168]) ).
cnf(c_0_583,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_206]),c_0_181]) ).
cnf(c_0_584,negated_conjecture,
( ~ epred20_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_229]),c_0_137]) ).
cnf(c_0_585,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_127]),c_0_150]) ).
cnf(c_0_586,negated_conjecture,
( ~ epred16_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_316]),c_0_318]) ).
cnf(c_0_587,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_262]),c_0_194]) ).
cnf(c_0_588,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_151]),c_0_164]) ).
cnf(c_0_589,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_203]),c_0_175]) ).
cnf(c_0_590,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_362]),c_0_318]) ).
cnf(c_0_591,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_276]),c_0_129]) ).
cnf(c_0_592,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_250]),c_0_162]) ).
cnf(c_0_593,negated_conjecture,
( ~ c0_1(a149)
| ~ hskp22 ),
clause94 ).
cnf(c_0_594,negated_conjecture,
( ~ c1_1(a149)
| ~ hskp22 ),
clause95 ).
cnf(c_0_595,negated_conjecture,
( hskp15
| hskp22
| hskp17 ),
clause42 ).
cnf(c_0_596,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_378,c_0_522,c_0_523,c_0_410,c_0_524,c_0_525,c_0_526,c_0_527,c_0_228,c_0_178,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_384,c_0_534,c_0_535,c_0_377,c_0_536,c_0_537,c_0_427,c_0_538,c_0_539,c_0_309,c_0_540,c_0_541,c_0_542,c_0_177,c_0_543,c_0_433,c_0_290,c_0_544,c_0_545,c_0_422,c_0_546,c_0_547,c_0_420,c_0_548,c_0_549,c_0_550,c_0_285,c_0_551,c_0_552,c_0_553,c_0_317,c_0_264,c_0_554,c_0_555,c_0_343,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_287,c_0_353,c_0_561,c_0_193,c_0_159,c_0_562,c_0_563,c_0_241,c_0_564,c_0_369,c_0_268,c_0_565,c_0_566,c_0_272,c_0_332,c_0_567,c_0_568,c_0_451,c_0_269,c_0_275,c_0_176,c_0_569,c_0_406,c_0_570,c_0_571,c_0_572,c_0_573,c_0_234,c_0_574,c_0_575,c_0_432,c_0_576,c_0_577,c_0_578,c_0_579,c_0_408,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_291,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_333,c_0_135,c_0_215,c_0_342,c_0_340,c_0_141,c_0_188,c_0_411,c_0_146,c_0_149,c_0_211,c_0_226,c_0_225,c_0_221,c_0_220,c_0_155,c_0_593,c_0_594,c_0_258,c_0_213,c_0_314,c_0_210,c_0_230,c_0_153,c_0_158,c_0_214,c_0_392,c_0_148,c_0_311,c_0_315,c_0_219,c_0_255,c_0_157,c_0_438,c_0_179,c_0_288,c_0_595,c_0_119]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN454-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n023.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 20:18:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.45/0.58 start to proof: theBenchmark
% 1.76/1.88 % Version : CSE_E---1.5
% 1.76/1.88 % Problem : theBenchmark.p
% 1.76/1.88 % Proof found
% 1.76/1.88 % SZS status Theorem for theBenchmark.p
% 1.76/1.88 % SZS output start Proof
% See solution above
% 1.76/1.90 % Total time : 1.290000 s
% 1.76/1.90 % SZS output end Proof
% 1.76/1.90 % Total time : 1.293000 s
%------------------------------------------------------------------------------