TSTP Solution File: SYN450+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 01:51:57 EDT 2023
% Result : Theorem 4.59s 4.66s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 154
% Syntax : Number of formulae : 853 ( 2 unt; 112 typ; 0 def)
% Number of atoms : 4880 ( 0 equ)
% Maximal formula atoms : 689 ( 6 avg)
% Number of connectives : 6081 (1942 ~;3381 |; 537 &)
% ( 41 <=>; 180 =>; 0 <=; 0 <~>)
% Maximal formula depth : 272 ( 6 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 : 83 ( 82 usr; 79 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 524 ( 0 sgn; 311 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp0: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
a641: $i ).
tff(decl_25,type,
c2_1: $i > $o ).
tff(decl_26,type,
c3_1: $i > $o ).
tff(decl_27,type,
c1_1: $i > $o ).
tff(decl_28,type,
hskp1: $o ).
tff(decl_29,type,
a642: $i ).
tff(decl_30,type,
c0_1: $i > $o ).
tff(decl_31,type,
hskp2: $o ).
tff(decl_32,type,
a643: $i ).
tff(decl_33,type,
hskp3: $o ).
tff(decl_34,type,
a645: $i ).
tff(decl_35,type,
hskp4: $o ).
tff(decl_36,type,
a646: $i ).
tff(decl_37,type,
hskp5: $o ).
tff(decl_38,type,
a647: $i ).
tff(decl_39,type,
hskp6: $o ).
tff(decl_40,type,
a648: $i ).
tff(decl_41,type,
hskp7: $o ).
tff(decl_42,type,
a651: $i ).
tff(decl_43,type,
hskp8: $o ).
tff(decl_44,type,
a652: $i ).
tff(decl_45,type,
hskp9: $o ).
tff(decl_46,type,
a654: $i ).
tff(decl_47,type,
hskp10: $o ).
tff(decl_48,type,
a656: $i ).
tff(decl_49,type,
hskp11: $o ).
tff(decl_50,type,
a657: $i ).
tff(decl_51,type,
hskp12: $o ).
tff(decl_52,type,
a660: $i ).
tff(decl_53,type,
hskp13: $o ).
tff(decl_54,type,
a661: $i ).
tff(decl_55,type,
hskp14: $o ).
tff(decl_56,type,
a665: $i ).
tff(decl_57,type,
hskp15: $o ).
tff(decl_58,type,
a667: $i ).
tff(decl_59,type,
hskp16: $o ).
tff(decl_60,type,
a672: $i ).
tff(decl_61,type,
hskp17: $o ).
tff(decl_62,type,
a675: $i ).
tff(decl_63,type,
hskp18: $o ).
tff(decl_64,type,
a676: $i ).
tff(decl_65,type,
hskp19: $o ).
tff(decl_66,type,
a682: $i ).
tff(decl_67,type,
hskp20: $o ).
tff(decl_68,type,
a686: $i ).
tff(decl_69,type,
hskp21: $o ).
tff(decl_70,type,
a691: $i ).
tff(decl_71,type,
hskp22: $o ).
tff(decl_72,type,
a693: $i ).
tff(decl_73,type,
hskp23: $o ).
tff(decl_74,type,
a695: $i ).
tff(decl_75,type,
hskp24: $o ).
tff(decl_76,type,
a698: $i ).
tff(decl_77,type,
hskp25: $o ).
tff(decl_78,type,
a710: $i ).
tff(decl_79,type,
hskp26: $o ).
tff(decl_80,type,
a640: $i ).
tff(decl_81,type,
hskp27: $o ).
tff(decl_82,type,
a655: $i ).
tff(decl_83,type,
hskp28: $o ).
tff(decl_84,type,
a671: $i ).
tff(decl_85,type,
hskp29: $o ).
tff(decl_86,type,
a688: $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 ).
tff(decl_132,type,
epred46_0: $o ).
tff(decl_133,type,
epred47_0: $o ).
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a641)
& c3_1(a641)
& ~ c1_1(a641) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a642)
& c3_1(a642)
& ~ c1_1(a642) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a643)
& c2_1(a643)
& ~ c0_1(a643) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a645)
& c3_1(a645)
& ~ c2_1(a645) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c1_1(a646)
& ~ c2_1(a646)
& ~ c3_1(a646) ) )
& ( ~ hskp5
| ( ndr1_0
& c1_1(a647)
& ~ c0_1(a647)
& ~ c3_1(a647) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a648)
& ~ c2_1(a648)
& ~ c3_1(a648) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a651)
& ~ c0_1(a651)
& ~ c1_1(a651) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a652)
& c3_1(a652)
& ~ c2_1(a652) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a654)
& ~ c1_1(a654)
& ~ c2_1(a654) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a656)
& c2_1(a656)
& ~ c1_1(a656) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a657)
& c2_1(a657)
& ~ c3_1(a657) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a660)
& ~ c1_1(a660)
& ~ c2_1(a660) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a661)
& ~ c1_1(a661)
& ~ c3_1(a661) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a665)
& ~ c0_1(a665)
& ~ c1_1(a665) ) )
& ( ~ hskp15
| ( ndr1_0
& c3_1(a667)
& ~ c0_1(a667)
& ~ c2_1(a667) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a672)
& ~ c2_1(a672)
& ~ c3_1(a672) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a675)
& ~ c1_1(a675)
& ~ c3_1(a675) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a676)
& c1_1(a676)
& ~ c2_1(a676) ) )
& ( ~ hskp19
| ( ndr1_0
& c3_1(a682)
& ~ c1_1(a682)
& ~ c2_1(a682) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a686)
& c2_1(a686)
& ~ c3_1(a686) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a691)
& ~ c1_1(a691)
& ~ c3_1(a691) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a693)
& c3_1(a693)
& ~ c0_1(a693) ) )
& ( ~ hskp23
| ( ndr1_0
& c2_1(a695)
& ~ c0_1(a695)
& ~ c3_1(a695) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a698)
& ~ c0_1(a698)
& ~ c2_1(a698) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c0_1(a710)
& ~ c2_1(a710)
& ~ c3_1(a710) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a640)
& c1_1(a640)
& c3_1(a640) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a655)
& c2_1(a655)
& c3_1(a655) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a671)
& c1_1(a671)
& c2_1(a671) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a688)
& c2_1(a688)
& c3_1(a688) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| hskp26
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| ~ c2_1(X6)
| ~ c3_1(X6) ) )
| hskp1 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c3_1(X7) ) )
| hskp2
| hskp0 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| hskp3
| hskp4 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c1_1(X10)
| c3_1(X10)
| ~ c2_1(X10) ) )
| hskp5 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| hskp6
| hskp2 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13) ) )
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c2_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15) ) )
| hskp7 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17) ) )
| hskp8 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| ~ c2_1(X19)
| ~ c3_1(X19) ) )
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| c2_1(X21)
| c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24) ) )
| hskp9 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c2_1(X26)
| ~ c3_1(X26) ) )
| hskp27 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c2_1(X28)
| ~ c0_1(X28)
| ~ c1_1(X28) ) )
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| ~ c1_1(X30)
| ~ c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c2_1(X31)
| ~ c0_1(X31) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| ~ c1_1(X33)
| ~ c3_1(X33) ) )
| hskp11 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) )
| hskp27 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp6 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| hskp12
| hskp13 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c2_1(X39) ) )
| hskp6
| hskp3 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c0_1(X42)
| ~ c1_1(X42)
| ~ c2_1(X42) ) ) )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c1_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c2_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c1_1(X46)
| ~ c3_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c2_1(X48)
| ~ c0_1(X48)
| ~ c1_1(X48) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c2_1(X49)
| ~ c3_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c3_1(X50)
| ~ c0_1(X50) ) )
| hskp7 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| hskp14
| hskp4 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| ~ c2_1(X52)
| ~ c3_1(X52) ) )
| hskp15
| hskp9 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c2_1(X54)
| ~ c3_1(X54) ) )
| hskp4 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| ~ c0_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56) ) )
| hskp12 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| hskp28
| hskp16 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c3_1(X58)
| ~ c0_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c3_1(X60)
| ~ c0_1(X60)
| ~ c2_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c2_1(X62) ) )
| hskp7 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c3_1(X63)
| ~ c2_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| ~ c2_1(X64)
| ~ c3_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| ~ c0_1(X65)
| ~ c1_1(X65) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c3_1(X66) ) )
| hskp28
| hskp17 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| ~ c0_1(X67)
| ~ c3_1(X67) ) )
| hskp18
| hskp4 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69) ) )
| hskp9 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70) ) )
| hskp17
| hskp7 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp17
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c0_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| ~ c2_1(X75)
| ~ c3_1(X75) ) )
| hskp11 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76) ) )
| hskp8
| hskp19 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| hskp20
| hskp5 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c1_1(X78) ) )
| hskp29
| hskp5 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| hskp11
| hskp21 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| hskp20
| hskp22 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp5
| hskp23 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c1_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp8 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp2
| hskp24 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c1_1(X85)
| ~ c3_1(X85) ) )
| hskp3
| hskp15 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| hskp1
| hskp29 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| hskp12
| hskp20 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| hskp15
| hskp9 )
& ( ! [X89] :
( ndr1_0
=> ( c3_1(X89)
| ~ c1_1(X89)
| ~ c2_1(X89) ) )
| hskp10
| hskp29 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp23
| hskp25 )
& ( hskp18
| hskp1
| hskp7 )
& ( hskp18
| hskp2
| hskp20 )
& ( hskp1
| hskp14
| hskp17 )
& ( hskp2
| hskp22
| hskp19 )
& ( hskp20
| hskp24
| hskp0 )
& ( hskp24
| hskp14
| hskp17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a641)
& c3_1(a641)
& ~ c1_1(a641) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a642)
& c3_1(a642)
& ~ c1_1(a642) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a643)
& c2_1(a643)
& ~ c0_1(a643) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a645)
& c3_1(a645)
& ~ c2_1(a645) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c1_1(a646)
& ~ c2_1(a646)
& ~ c3_1(a646) ) )
& ( ~ hskp5
| ( ndr1_0
& c1_1(a647)
& ~ c0_1(a647)
& ~ c3_1(a647) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a648)
& ~ c2_1(a648)
& ~ c3_1(a648) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a651)
& ~ c0_1(a651)
& ~ c1_1(a651) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a652)
& c3_1(a652)
& ~ c2_1(a652) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a654)
& ~ c1_1(a654)
& ~ c2_1(a654) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a656)
& c2_1(a656)
& ~ c1_1(a656) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a657)
& c2_1(a657)
& ~ c3_1(a657) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a660)
& ~ c1_1(a660)
& ~ c2_1(a660) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a661)
& ~ c1_1(a661)
& ~ c3_1(a661) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a665)
& ~ c0_1(a665)
& ~ c1_1(a665) ) )
& ( ~ hskp15
| ( ndr1_0
& c3_1(a667)
& ~ c0_1(a667)
& ~ c2_1(a667) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a672)
& ~ c2_1(a672)
& ~ c3_1(a672) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a675)
& ~ c1_1(a675)
& ~ c3_1(a675) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a676)
& c1_1(a676)
& ~ c2_1(a676) ) )
& ( ~ hskp19
| ( ndr1_0
& c3_1(a682)
& ~ c1_1(a682)
& ~ c2_1(a682) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a686)
& c2_1(a686)
& ~ c3_1(a686) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a691)
& ~ c1_1(a691)
& ~ c3_1(a691) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a693)
& c3_1(a693)
& ~ c0_1(a693) ) )
& ( ~ hskp23
| ( ndr1_0
& c2_1(a695)
& ~ c0_1(a695)
& ~ c3_1(a695) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a698)
& ~ c0_1(a698)
& ~ c2_1(a698) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c0_1(a710)
& ~ c2_1(a710)
& ~ c3_1(a710) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a640)
& c1_1(a640)
& c3_1(a640) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a655)
& c2_1(a655)
& c3_1(a655) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a671)
& c1_1(a671)
& c2_1(a671) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a688)
& c2_1(a688)
& c3_1(a688) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| hskp26
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| ~ c2_1(X6)
| ~ c3_1(X6) ) )
| hskp1 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c3_1(X7) ) )
| hskp2
| hskp0 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| hskp3
| hskp4 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c1_1(X10)
| c3_1(X10)
| ~ c2_1(X10) ) )
| hskp5 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| hskp6
| hskp2 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13) ) )
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c2_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15) ) )
| hskp7 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17) ) )
| hskp8 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| ~ c2_1(X19)
| ~ c3_1(X19) ) )
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| c2_1(X21)
| c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24) ) )
| hskp9 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c2_1(X26)
| ~ c3_1(X26) ) )
| hskp27 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c2_1(X28)
| ~ c0_1(X28)
| ~ c1_1(X28) ) )
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| ~ c1_1(X30)
| ~ c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c2_1(X31)
| ~ c0_1(X31) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| ~ c1_1(X33)
| ~ c3_1(X33) ) )
| hskp11 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) )
| hskp27 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp6 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| hskp12
| hskp13 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c2_1(X39) ) )
| hskp6
| hskp3 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c0_1(X42)
| ~ c1_1(X42)
| ~ c2_1(X42) ) ) )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c1_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c2_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c1_1(X46)
| ~ c3_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c2_1(X48)
| ~ c0_1(X48)
| ~ c1_1(X48) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c2_1(X49)
| ~ c3_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c3_1(X50)
| ~ c0_1(X50) ) )
| hskp7 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| hskp14
| hskp4 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| ~ c2_1(X52)
| ~ c3_1(X52) ) )
| hskp15
| hskp9 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c2_1(X54)
| ~ c3_1(X54) ) )
| hskp4 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| ~ c0_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56) ) )
| hskp12 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| hskp28
| hskp16 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c3_1(X58)
| ~ c0_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c3_1(X60)
| ~ c0_1(X60)
| ~ c2_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c2_1(X62) ) )
| hskp7 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c3_1(X63)
| ~ c2_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| ~ c2_1(X64)
| ~ c3_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| ~ c0_1(X65)
| ~ c1_1(X65) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c3_1(X66) ) )
| hskp28
| hskp17 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| ~ c0_1(X67)
| ~ c3_1(X67) ) )
| hskp18
| hskp4 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69) ) )
| hskp9 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70) ) )
| hskp17
| hskp7 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp17
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c0_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| ~ c2_1(X75)
| ~ c3_1(X75) ) )
| hskp11 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76) ) )
| hskp8
| hskp19 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| hskp20
| hskp5 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c1_1(X78) ) )
| hskp29
| hskp5 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| hskp11
| hskp21 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| hskp20
| hskp22 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp5
| hskp23 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c1_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp8 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp2
| hskp24 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c1_1(X85)
| ~ c3_1(X85) ) )
| hskp3
| hskp15 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| hskp1
| hskp29 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| hskp12
| hskp20 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| hskp15
| hskp9 )
& ( ! [X89] :
( ndr1_0
=> ( c3_1(X89)
| ~ c1_1(X89)
| ~ c2_1(X89) ) )
| hskp10
| hskp29 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp23
| hskp25 )
& ( hskp18
| hskp1
| hskp7 )
& ( hskp18
| hskp2
| hskp20 )
& ( hskp1
| hskp14
| hskp17 )
& ( hskp2
| hskp22
| hskp19 )
& ( hskp20
| hskp24
| hskp0 )
& ( hskp24
| hskp14
| hskp17 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180] :
( ( ndr1_0
| ~ hskp0 )
& ( c2_1(a641)
| ~ hskp0 )
& ( c3_1(a641)
| ~ hskp0 )
& ( ~ c1_1(a641)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c0_1(a642)
| ~ hskp1 )
& ( c3_1(a642)
| ~ hskp1 )
& ( ~ c1_1(a642)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c1_1(a643)
| ~ hskp2 )
& ( c2_1(a643)
| ~ hskp2 )
& ( ~ c0_1(a643)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c1_1(a645)
| ~ hskp3 )
& ( c3_1(a645)
| ~ hskp3 )
& ( ~ c2_1(a645)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( ~ c1_1(a646)
| ~ hskp4 )
& ( ~ c2_1(a646)
| ~ hskp4 )
& ( ~ c3_1(a646)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c1_1(a647)
| ~ hskp5 )
& ( ~ c0_1(a647)
| ~ hskp5 )
& ( ~ c3_1(a647)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a648)
| ~ hskp6 )
& ( ~ c2_1(a648)
| ~ hskp6 )
& ( ~ c3_1(a648)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c3_1(a651)
| ~ hskp7 )
& ( ~ c0_1(a651)
| ~ hskp7 )
& ( ~ c1_1(a651)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c0_1(a652)
| ~ hskp8 )
& ( c3_1(a652)
| ~ hskp8 )
& ( ~ c2_1(a652)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( ~ c0_1(a654)
| ~ hskp9 )
& ( ~ c1_1(a654)
| ~ hskp9 )
& ( ~ c2_1(a654)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( c0_1(a656)
| ~ hskp10 )
& ( c2_1(a656)
| ~ hskp10 )
& ( ~ c1_1(a656)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c0_1(a657)
| ~ hskp11 )
& ( c2_1(a657)
| ~ hskp11 )
& ( ~ c3_1(a657)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c0_1(a660)
| ~ hskp12 )
& ( ~ c1_1(a660)
| ~ hskp12 )
& ( ~ c2_1(a660)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c0_1(a661)
| ~ hskp13 )
& ( ~ c1_1(a661)
| ~ hskp13 )
& ( ~ c3_1(a661)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c2_1(a665)
| ~ hskp14 )
& ( ~ c0_1(a665)
| ~ hskp14 )
& ( ~ c1_1(a665)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c3_1(a667)
| ~ hskp15 )
& ( ~ c0_1(a667)
| ~ hskp15 )
& ( ~ c2_1(a667)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c1_1(a672)
| ~ hskp16 )
& ( ~ c2_1(a672)
| ~ hskp16 )
& ( ~ c3_1(a672)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c2_1(a675)
| ~ hskp17 )
& ( ~ c1_1(a675)
| ~ hskp17 )
& ( ~ c3_1(a675)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c0_1(a676)
| ~ hskp18 )
& ( c1_1(a676)
| ~ hskp18 )
& ( ~ c2_1(a676)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( c3_1(a682)
| ~ hskp19 )
& ( ~ c1_1(a682)
| ~ hskp19 )
& ( ~ c2_1(a682)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c1_1(a686)
| ~ hskp20 )
& ( c2_1(a686)
| ~ hskp20 )
& ( ~ c3_1(a686)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( ~ c0_1(a691)
| ~ hskp21 )
& ( ~ c1_1(a691)
| ~ hskp21 )
& ( ~ c3_1(a691)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( c2_1(a693)
| ~ hskp22 )
& ( c3_1(a693)
| ~ hskp22 )
& ( ~ c0_1(a693)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c2_1(a695)
| ~ hskp23 )
& ( ~ c0_1(a695)
| ~ hskp23 )
& ( ~ c3_1(a695)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c1_1(a698)
| ~ hskp24 )
& ( ~ c0_1(a698)
| ~ hskp24 )
& ( ~ c2_1(a698)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( ~ c0_1(a710)
| ~ hskp25 )
& ( ~ c2_1(a710)
| ~ hskp25 )
& ( ~ c3_1(a710)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c0_1(a640)
| ~ hskp26 )
& ( c1_1(a640)
| ~ hskp26 )
& ( c3_1(a640)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c0_1(a655)
| ~ hskp27 )
& ( c2_1(a655)
| ~ hskp27 )
& ( c3_1(a655)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c0_1(a671)
| ~ hskp28 )
& ( c1_1(a671)
| ~ hskp28 )
& ( c2_1(a671)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c1_1(a688)
| ~ hskp29 )
& ( c2_1(a688)
| ~ hskp29 )
& ( c3_1(a688)
| ~ hskp29 )
& ( ~ ndr1_0
| c0_1(X91)
| c1_1(X91)
| c2_1(X91)
| hskp26
| hskp0 )
& ( ~ ndr1_0
| c0_1(X92)
| c1_1(X92)
| c3_1(X92)
| ~ ndr1_0
| c0_1(X93)
| c1_1(X93)
| ~ c2_1(X93)
| ~ ndr1_0
| c2_1(X94)
| ~ c0_1(X94)
| ~ c1_1(X94) )
& ( ~ ndr1_0
| c0_1(X95)
| c1_1(X95)
| c3_1(X95)
| ~ ndr1_0
| c0_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96)
| hskp1 )
& ( ~ ndr1_0
| c0_1(X97)
| c1_1(X97)
| c3_1(X97)
| hskp2
| hskp0 )
& ( ~ ndr1_0
| c0_1(X98)
| c1_1(X98)
| c3_1(X98)
| hskp3
| hskp4 )
& ( ~ ndr1_0
| c0_1(X99)
| c1_1(X99)
| ~ c2_1(X99)
| ~ ndr1_0
| c1_1(X100)
| c3_1(X100)
| ~ c2_1(X100)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X101)
| c1_1(X101)
| ~ c2_1(X101)
| hskp6
| hskp2 )
& ( ~ ndr1_0
| c0_1(X102)
| c1_1(X102)
| ~ c3_1(X102)
| ~ ndr1_0
| c2_1(X103)
| c3_1(X103)
| ~ c1_1(X103)
| hskp2 )
& ( ~ ndr1_0
| c0_1(X104)
| c1_1(X104)
| ~ c3_1(X104)
| ~ ndr1_0
| c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105)
| hskp7 )
& ( ~ ndr1_0
| c0_1(X106)
| c1_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0
| ~ c0_1(X107)
| ~ c1_1(X107)
| ~ c2_1(X107)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X108)
| c1_1(X108)
| ~ c3_1(X108)
| ~ ndr1_0
| ~ c1_1(X109)
| ~ c2_1(X109)
| ~ c3_1(X109)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X110)
| c2_1(X110)
| c3_1(X110)
| ~ ndr1_0
| c1_1(X111)
| c2_1(X111)
| c3_1(X111)
| ~ ndr1_0
| ~ c0_1(X112)
| ~ c1_1(X112)
| ~ c3_1(X112) )
& ( ~ ndr1_0
| c0_1(X113)
| c2_1(X113)
| c3_1(X113)
| ~ ndr1_0
| c1_1(X114)
| c3_1(X114)
| ~ c2_1(X114)
| hskp9 )
& ( ~ ndr1_0
| c0_1(X115)
| c2_1(X115)
| ~ c3_1(X115)
| ~ ndr1_0
| c1_1(X116)
| c2_1(X116)
| ~ c3_1(X116)
| hskp27 )
& ( ~ ndr1_0
| c0_1(X117)
| c2_1(X117)
| ~ c3_1(X117)
| ~ ndr1_0
| c2_1(X118)
| ~ c0_1(X118)
| ~ c1_1(X118)
| hskp10 )
& ( ~ ndr1_0
| c0_1(X119)
| c3_1(X119)
| ~ c1_1(X119)
| ~ ndr1_0
| c0_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120)
| ~ ndr1_0
| c1_1(X121)
| c2_1(X121)
| ~ c0_1(X121) )
& ( ~ ndr1_0
| c0_1(X122)
| c3_1(X122)
| ~ c1_1(X122)
| ~ ndr1_0
| c0_1(X123)
| ~ c1_1(X123)
| ~ c3_1(X123)
| hskp11 )
& ( ~ ndr1_0
| c0_1(X124)
| c3_1(X124)
| ~ c1_1(X124)
| ~ ndr1_0
| c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125)
| hskp27 )
& ( ~ ndr1_0
| c0_1(X126)
| c3_1(X126)
| ~ c1_1(X126)
| ~ ndr1_0
| c2_1(X127)
| ~ c1_1(X127)
| ~ c3_1(X127)
| hskp6 )
& ( ~ ndr1_0
| c0_1(X128)
| c3_1(X128)
| ~ c1_1(X128)
| hskp12
| hskp13 )
& ( ~ ndr1_0
| c0_1(X129)
| c3_1(X129)
| ~ c2_1(X129)
| hskp6
| hskp3 )
& ( ~ ndr1_0
| c0_1(X130)
| ~ c1_1(X130)
| ~ c2_1(X130)
| ~ ndr1_0
| c1_1(X131)
| ~ c2_1(X131)
| ~ c3_1(X131)
| ~ ndr1_0
| ~ c0_1(X132)
| ~ c1_1(X132)
| ~ c2_1(X132) )
& ( ~ ndr1_0
| c0_1(X133)
| ~ c1_1(X133)
| ~ c2_1(X133)
| ~ ndr1_0
| c1_1(X134)
| ~ c2_1(X134)
| ~ c3_1(X134)
| ~ ndr1_0
| ~ c1_1(X135)
| ~ c2_1(X135)
| ~ c3_1(X135) )
& ( ~ ndr1_0
| c0_1(X136)
| ~ c1_1(X136)
| ~ c3_1(X136)
| ~ ndr1_0
| c1_1(X137)
| c3_1(X137)
| ~ c0_1(X137)
| ~ ndr1_0
| c2_1(X138)
| ~ c0_1(X138)
| ~ c1_1(X138) )
& ( ~ ndr1_0
| c0_1(X139)
| ~ c2_1(X139)
| ~ c3_1(X139)
| ~ ndr1_0
| c1_1(X140)
| c3_1(X140)
| ~ c0_1(X140)
| hskp7 )
& ( ~ ndr1_0
| c0_1(X141)
| ~ c2_1(X141)
| ~ c3_1(X141)
| hskp14
| hskp4 )
& ( ~ ndr1_0
| c0_1(X142)
| ~ c2_1(X142)
| ~ c3_1(X142)
| hskp15
| hskp9 )
& ( ~ ndr1_0
| c1_1(X143)
| c2_1(X143)
| c3_1(X143)
| ~ ndr1_0
| c1_1(X144)
| c2_1(X144)
| ~ c3_1(X144)
| hskp4 )
& ( ~ ndr1_0
| c1_1(X145)
| c2_1(X145)
| ~ c0_1(X145)
| ~ ndr1_0
| c1_1(X146)
| c3_1(X146)
| ~ c0_1(X146)
| hskp12 )
& ( ~ ndr1_0
| c1_1(X147)
| c2_1(X147)
| ~ c3_1(X147)
| hskp28
| hskp16 )
& ( ~ ndr1_0
| c1_1(X148)
| c3_1(X148)
| ~ c0_1(X148)
| ~ ndr1_0
| c1_1(X149)
| ~ c0_1(X149)
| ~ c2_1(X149)
| ~ ndr1_0
| c3_1(X150)
| ~ c0_1(X150)
| ~ c2_1(X150) )
& ( ~ ndr1_0
| c1_1(X151)
| c3_1(X151)
| ~ c0_1(X151)
| ~ ndr1_0
| ~ c0_1(X152)
| ~ c1_1(X152)
| ~ c2_1(X152)
| hskp7 )
& ( ~ ndr1_0
| c1_1(X153)
| c3_1(X153)
| ~ c2_1(X153)
| ~ ndr1_0
| c1_1(X154)
| ~ c2_1(X154)
| ~ c3_1(X154)
| ~ ndr1_0
| c2_1(X155)
| ~ c0_1(X155)
| ~ c1_1(X155) )
& ( ~ ndr1_0
| c1_1(X156)
| ~ c0_1(X156)
| ~ c3_1(X156)
| hskp28
| hskp17 )
& ( ~ ndr1_0
| c1_1(X157)
| ~ c0_1(X157)
| ~ c3_1(X157)
| hskp18
| hskp4 )
& ( ~ ndr1_0
| c1_1(X158)
| ~ c2_1(X158)
| ~ c3_1(X158)
| ~ ndr1_0
| c3_1(X159)
| ~ c0_1(X159)
| ~ c1_1(X159)
| hskp9 )
& ( ~ ndr1_0
| c1_1(X160)
| ~ c2_1(X160)
| ~ c3_1(X160)
| hskp17
| hskp7 )
& ( ~ ndr1_0
| c1_1(X161)
| ~ c2_1(X161)
| ~ c3_1(X161)
| hskp17
| hskp19 )
& ( ~ ndr1_0
| c2_1(X162)
| c3_1(X162)
| ~ c0_1(X162)
| ~ ndr1_0
| c3_1(X163)
| ~ c0_1(X163)
| ~ c2_1(X163) )
& ( ~ ndr1_0
| c2_1(X164)
| c3_1(X164)
| ~ c0_1(X164)
| ~ ndr1_0
| ~ c1_1(X165)
| ~ c2_1(X165)
| ~ c3_1(X165)
| hskp11 )
& ( ~ ndr1_0
| c2_1(X166)
| c3_1(X166)
| ~ c0_1(X166)
| hskp8
| hskp19 )
& ( ~ ndr1_0
| c2_1(X167)
| c3_1(X167)
| ~ c0_1(X167)
| hskp20
| hskp5 )
& ( ~ ndr1_0
| c2_1(X168)
| c3_1(X168)
| ~ c1_1(X168)
| hskp29
| hskp5 )
& ( ~ ndr1_0
| c2_1(X169)
| ~ c0_1(X169)
| ~ c3_1(X169)
| hskp11
| hskp21 )
& ( ~ ndr1_0
| c2_1(X170)
| ~ c0_1(X170)
| ~ c3_1(X170)
| hskp20
| hskp22 )
& ( ~ ndr1_0
| c2_1(X171)
| ~ c0_1(X171)
| ~ c3_1(X171)
| hskp5
| hskp23 )
& ( ~ ndr1_0
| c2_1(X172)
| ~ c1_1(X172)
| ~ c3_1(X172)
| ~ ndr1_0
| ~ c1_1(X173)
| ~ c2_1(X173)
| ~ c3_1(X173)
| hskp8 )
& ( ~ ndr1_0
| c2_1(X174)
| ~ c1_1(X174)
| ~ c3_1(X174)
| hskp2
| hskp24 )
& ( ~ ndr1_0
| c2_1(X175)
| ~ c1_1(X175)
| ~ c3_1(X175)
| hskp3
| hskp15 )
& ( ~ ndr1_0
| c3_1(X176)
| ~ c0_1(X176)
| ~ c2_1(X176)
| hskp1
| hskp29 )
& ( ~ ndr1_0
| c3_1(X177)
| ~ c0_1(X177)
| ~ c2_1(X177)
| hskp12
| hskp20 )
& ( ~ ndr1_0
| c3_1(X178)
| ~ c0_1(X178)
| ~ c2_1(X178)
| hskp15
| hskp9 )
& ( ~ ndr1_0
| c3_1(X179)
| ~ c1_1(X179)
| ~ c2_1(X179)
| hskp10
| hskp29 )
& ( ~ ndr1_0
| ~ c0_1(X180)
| ~ c1_1(X180)
| ~ c2_1(X180)
| hskp23
| hskp25 )
& ( hskp18
| hskp1
| hskp7 )
& ( hskp18
| hskp2
| hskp20 )
& ( hskp1
| hskp14
| hskp17 )
& ( hskp2
| hskp22
| hskp19 )
& ( hskp20
| hskp24
| hskp0 )
& ( hskp24
| hskp14
| hskp17 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp20
| hskp24
| hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_7,plain,
( ~ epred25_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( ~ epred7_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| hskp1
| c0_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_9,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]) ).
fof(c_0_10,plain,
( ~ epred47_0
<=> ! [X1] :
( c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( ~ epred9_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp2
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_12,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp2
| hskp0
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_13,plain,
( ~ epred42_0
<=> ! [X3] :
( c2_1(X3)
| c1_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_14,negated_conjecture,
( ~ c1_1(a665)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( epred25_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( c2_1(a665)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( ~ c0_1(a665)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( epred7_0
| c0_1(X1)
| hskp1
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).
cnf(c_0_19,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp29
| hskp5
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp28
| hskp16
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( c1_1(X1)
| hskp28
| hskp17
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_22,plain,
( ~ epred44_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( ~ epred11_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp5
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_24,negated_conjecture,
( ~ c0_1(a693)
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( epred47_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_9])]) ).
cnf(c_0_26,negated_conjecture,
( c2_1(a693)
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( epred9_0
| hskp2
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_11]),c_0_9])]) ).
cnf(c_0_28,negated_conjecture,
( c3_1(a693)
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_29,plain,
( ~ epred8_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_30,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp12
| hskp13
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_31,plain,
( ~ epred13_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_32,negated_conjecture,
( hskp2
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9])]) ).
cnf(c_0_33,negated_conjecture,
( ~ c1_1(a641)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
( c2_1(a641)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( c3_1(a641)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( ~ c1_1(a642)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,negated_conjecture,
( c3_1(a642)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( epred42_0
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
cnf(c_0_39,negated_conjecture,
( c0_1(a642)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( epred25_0
| ~ hskp14
| ~ c3_1(a665) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_41,negated_conjecture,
( epred7_0
| hskp1
| c3_1(a665)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]) ).
fof(c_0_42,plain,
( ~ epred1_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_43,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp6
| hskp2
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_44,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_45,negated_conjecture,
( c2_1(X1)
| hskp20
| hskp22
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_46,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_47,plain,
( ~ epred21_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_48,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_49,negated_conjecture,
( hskp29
| hskp5
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_9])]) ).
cnf(c_0_50,negated_conjecture,
( c1_1(a672)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( ~ c2_1(a672)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,negated_conjecture,
( ~ c3_1(a672)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( hskp28
| hskp16
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_9])]) ).
cnf(c_0_54,negated_conjecture,
( c3_1(a682)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
( ~ c2_1(a682)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( ~ c1_1(a682)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,negated_conjecture,
( c1_1(X1)
| hskp17
| hskp19
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,negated_conjecture,
( hskp28
| hskp17
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_9])]) ).
cnf(c_0_59,negated_conjecture,
( c0_1(a656)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( ~ c1_1(a656)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,negated_conjecture,
( epred44_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_22]),c_0_9])]) ).
cnf(c_0_62,negated_conjecture,
( c2_1(a656)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_63,negated_conjecture,
( ~ c1_1(a675)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_64,negated_conjecture,
( c2_1(a675)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_65,negated_conjecture,
( ~ c3_1(a675)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,negated_conjecture,
( c3_1(X1)
| hskp10
| hskp29
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_67,negated_conjecture,
( epred11_0
| hskp5
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_23]),c_0_9])]) ).
cnf(c_0_68,negated_conjecture,
( epred47_0
| ~ hskp22
| ~ c1_1(a693) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_69,negated_conjecture,
( epred9_0
| hskp2
| c1_1(a693)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24]) ).
cnf(c_0_70,negated_conjecture,
( ~ c0_1(a643)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_71,negated_conjecture,
( epred8_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_29]) ).
cnf(c_0_72,negated_conjecture,
( c2_1(a643)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_73,negated_conjecture,
( hskp13
| hskp12
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_9])]) ).
cnf(c_0_74,negated_conjecture,
( c1_1(a643)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_75,negated_conjecture,
( epred13_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_31]) ).
cnf(c_0_76,negated_conjecture,
( hskp2
| c3_1(a665)
| hskp0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_32]),c_0_14]) ).
cnf(c_0_77,negated_conjecture,
( epred25_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_15]),c_0_34]),c_0_35]) ).
cnf(c_0_78,negated_conjecture,
( epred25_0
| ~ hskp1
| ~ c2_1(a642) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_37]) ).
cnf(c_0_79,negated_conjecture,
( epred42_0
| c2_1(a642)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36]) ).
cnf(c_0_80,negated_conjecture,
( epred25_0
| epred7_0
| hskp1
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_81,negated_conjecture,
( hskp1
| hskp14
| hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,negated_conjecture,
( epred1_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_42]),c_0_9])]) ).
cnf(c_0_83,negated_conjecture,
( c0_1(a648)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,negated_conjecture,
( ~ c2_1(a648)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,negated_conjecture,
( ~ c3_1(a648)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_86,negated_conjecture,
( hskp6
| hskp2
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_9])]) ).
fof(c_0_87,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_88,plain,
( ~ epred14_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| hskp27
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_89,negated_conjecture,
( epred27_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_44]) ).
cnf(c_0_90,negated_conjecture,
( hskp22
| hskp20
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_9])]) ).
cnf(c_0_91,negated_conjecture,
( epred4_0
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_46]) ).
cnf(c_0_92,negated_conjecture,
( epred21_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_47]) ).
cnf(c_0_93,negated_conjecture,
( c0_1(a676)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_94,negated_conjecture,
( c1_1(a676)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_95,negated_conjecture,
( ~ c2_1(a676)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_96,negated_conjecture,
( ~ c1_1(a651)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_97,negated_conjecture,
( c3_1(a651)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_98,plain,
( ~ epred45_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_99,plain,
( ~ epred46_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_100,negated_conjecture,
( epred29_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_101,negated_conjecture,
( c0_1(a671)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_102,negated_conjecture,
( c2_1(a671)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_103,negated_conjecture,
( c1_1(a671)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_104,negated_conjecture,
( hskp29
| hskp5
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_105,negated_conjecture,
( hskp28
| hskp16
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_106,negated_conjecture,
( hskp19
| hskp17
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_9])]) ).
fof(c_0_107,plain,
( ~ epred16_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_108,negated_conjecture,
( hskp28
| hskp17
| ~ hskp10
| ~ c3_1(a656) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_109,negated_conjecture,
( epred44_0
| c3_1(a656)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_110,negated_conjecture,
( epred44_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_64]),c_0_65]) ).
cnf(c_0_111,negated_conjecture,
( hskp29
| hskp10
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_9])]) ).
fof(c_0_112,plain,
( ~ epred36_0
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_113,plain,
( ~ epred10_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_114,negated_conjecture,
( epred11_0
| hskp5
| c1_1(a693)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_26]),c_0_24]) ).
cnf(c_0_115,negated_conjecture,
( epred47_0
| epred9_0
| hskp2
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_116,negated_conjecture,
( hskp2
| hskp22
| hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_117,negated_conjecture,
( c2_1(X1)
| hskp11
| hskp21
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_118,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp8
| hskp19
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_119,negated_conjecture,
( c0_1(a661)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_120,negated_conjecture,
( ~ c3_1(a661)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_121,negated_conjecture,
( ~ c1_1(a661)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_122,negated_conjecture,
( epred8_0
| ~ hskp2
| ~ c3_1(a643) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_123,negated_conjecture,
( hskp13
| hskp12
| c3_1(a643)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_70]) ).
cnf(c_0_124,negated_conjecture,
( epred13_0
| hskp2
| c1_1(X1)
| c3_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_75,c_0_32]) ).
cnf(c_0_125,negated_conjecture,
( epred25_0
| hskp2
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_76]),c_0_77]) ).
cnf(c_0_126,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp1
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_127,negated_conjecture,
( epred13_0
| epred7_0
| hskp1
| c1_1(X1)
| c3_1(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_18]) ).
cnf(c_0_128,negated_conjecture,
( epred42_0
| epred25_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_129,negated_conjecture,
( epred25_0
| epred7_0
| hskp17
| hskp1 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_130,negated_conjecture,
( c0_1(a652)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_131,negated_conjecture,
( ~ c2_1(a652)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_132,plain,
( ~ epred34_0
<=> ! [X1] :
( c2_1(X1)
| hskp8
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( ~ epred35_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_134,negated_conjecture,
( c3_1(X1)
| hskp1
| hskp29
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_135,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp26
| hskp0
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_136,negated_conjecture,
( c1_1(X1)
| hskp18
| hskp4
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_137,plain,
( ~ epred40_0
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_138,negated_conjecture,
( epred1_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_139,negated_conjecture,
( hskp6
| hskp2
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_16]),c_0_14]),c_0_17]) ).
cnf(c_0_140,negated_conjecture,
( epred2_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_87]) ).
cnf(c_0_141,negated_conjecture,
( epred14_0
| hskp27
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_9])]) ).
cnf(c_0_142,negated_conjecture,
( ~ c0_1(a651)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_143,negated_conjecture,
( epred27_0
| epred25_0
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_15]) ).
cnf(c_0_144,negated_conjecture,
( hskp22
| hskp20
| c2_1(a642)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_39]),c_0_37]) ).
cnf(c_0_145,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp27
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_146,negated_conjecture,
( epred4_0
| c2_1(a642)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_91]),c_0_37]) ).
cnf(c_0_147,negated_conjecture,
( epred21_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_148,negated_conjecture,
( hskp18
| hskp1
| hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_149,negated_conjecture,
( epred25_0
| ~ hskp7
| ~ c2_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_15]),c_0_97]) ).
cnf(c_0_150,negated_conjecture,
( epred4_0
| c2_1(a651)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_91]),c_0_97]) ).
cnf(c_0_151,negated_conjecture,
( epred45_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_98]),c_0_9])]) ).
cnf(c_0_152,negated_conjecture,
( epred46_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_99]) ).
cnf(c_0_153,negated_conjecture,
( c1_1(a686)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_154,negated_conjecture,
( c2_1(a686)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_155,negated_conjecture,
( ~ c3_1(a686)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_156,negated_conjecture,
( c0_1(a655)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_157,negated_conjecture,
( c2_1(a655)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_158,negated_conjecture,
( c3_1(a655)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_159,plain,
( ~ epred24_0
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| hskp27
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_160,negated_conjecture,
( epred47_0
| epred29_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_25]) ).
cnf(c_0_161,negated_conjecture,
( c1_1(a688)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_162,negated_conjecture,
( c2_1(a688)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_163,negated_conjecture,
( epred29_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]) ).
cnf(c_0_164,negated_conjecture,
( hskp29
| hskp28
| hskp5
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_165,negated_conjecture,
( hskp19
| hskp17
| c1_1(a693)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_28]),c_0_26]) ).
cnf(c_0_166,negated_conjecture,
( epred16_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_107]) ).
cnf(c_0_167,negated_conjecture,
( epred44_0
| hskp28
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_168,negated_conjecture,
( epred44_0
| hskp29
| hskp10
| c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_61]) ).
cnf(c_0_169,negated_conjecture,
( c3_1(a688)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_170,negated_conjecture,
( epred36_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_112]) ).
cnf(c_0_171,negated_conjecture,
( ~ c0_1(a647)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_172,negated_conjecture,
( c1_1(a647)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_173,negated_conjecture,
( epred10_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_113]) ).
cnf(c_0_174,negated_conjecture,
( ~ c3_1(a647)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_175,negated_conjecture,
( epred47_0
| epred11_0
| hskp5
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_68,c_0_114]) ).
cnf(c_0_176,negated_conjecture,
( epred4_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_91]),c_0_54]),c_0_55]) ).
cnf(c_0_177,negated_conjecture,
( epred47_0
| epred9_0
| hskp19
| hskp2 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_178,plain,
( ~ epred6_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( hskp21
| hskp11
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_9])]) ).
cnf(c_0_180,negated_conjecture,
( hskp19
| hskp8
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_9])]) ).
cnf(c_0_181,negated_conjecture,
( c3_1(a652)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_182,plain,
( ~ epred43_0
<=> ! [X1] :
( c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_183,negated_conjecture,
( c0_1(a660)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_184,negated_conjecture,
( ~ c2_1(a660)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_185,negated_conjecture,
( ~ c1_1(a660)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_186,negated_conjecture,
( epred13_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_119]),c_0_120]),c_0_121]) ).
cnf(c_0_187,negated_conjecture,
( epred8_0
| hskp13
| hskp12
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_188,negated_conjecture,
( epred13_0
| hskp2
| hskp0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_124]),c_0_65]) ).
cnf(c_0_189,negated_conjecture,
( epred25_0
| hskp17
| hskp2
| hskp1 ),
inference(spm,[status(thm)],[c_0_125,c_0_81]) ).
cnf(c_0_190,negated_conjecture,
( hskp1
| c3_1(X1)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_126]) ).
cnf(c_0_191,negated_conjecture,
( epred13_0
| epred7_0
| hskp1
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_127]),c_0_65]) ).
cnf(c_0_192,negated_conjecture,
( epred42_0
| epred25_0
| epred7_0
| hskp17 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_193,negated_conjecture,
( epred21_0
| ~ hskp8
| ~ c1_1(a652) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_130]),c_0_131]) ).
cnf(c_0_194,negated_conjecture,
( epred42_0
| c1_1(a652)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_130]),c_0_131]) ).
cnf(c_0_195,negated_conjecture,
( epred34_0
| hskp8
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_9])]) ).
cnf(c_0_196,negated_conjecture,
( c1_1(a645)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_197,negated_conjecture,
( c3_1(a645)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a645)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_199,plain,
( ~ epred26_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp3
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_200,negated_conjecture,
( c0_1(a640)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_201,negated_conjecture,
( c1_1(a640)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_202,negated_conjecture,
( c3_1(a640)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_203,plain,
( ~ epred5_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp9
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_204,plain,
( ~ epred39_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_205,negated_conjecture,
( c2_1(X1)
| hskp5
| hskp23
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_206,plain,
( ~ epred41_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_207,negated_conjecture,
( ~ c0_1(a695)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_208,negated_conjecture,
( c2_1(a695)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_209,negated_conjecture,
( epred35_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_133]),c_0_9])]) ).
cnf(c_0_210,negated_conjecture,
( ~ c3_1(a695)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_211,negated_conjecture,
( c1_1(X1)
| hskp17
| hskp7
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_212,plain,
( ~ epred30_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp8
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_213,plain,
( ~ epred33_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| hskp11
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_214,plain,
( ~ epred37_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_215,negated_conjecture,
( c3_1(X1)
| hskp12
| hskp20
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_216,negated_conjecture,
( hskp29
| hskp1
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_9])]) ).
cnf(c_0_217,negated_conjecture,
( hskp26
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_9])]) ).
cnf(c_0_218,negated_conjecture,
( hskp23
| hskp25
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_219,negated_conjecture,
( hskp18
| hskp4
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_9])]) ).
fof(c_0_220,plain,
( ~ epred38_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_221,negated_conjecture,
( epred40_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_137]),c_0_9])]) ).
cnf(c_0_222,negated_conjecture,
( hskp28
| hskp17
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_39]),c_0_37]),c_0_36]) ).
cnf(c_0_223,negated_conjecture,
( epred1_0
| hskp2
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_224,negated_conjecture,
( epred25_0
| ~ hskp10
| ~ c3_1(a656) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_15]),c_0_62]) ).
cnf(c_0_225,negated_conjecture,
( epred2_0
| c3_1(a656)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_59]),c_0_62]) ).
cnf(c_0_226,negated_conjecture,
( epred14_0
| hskp27
| c2_1(a651)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_97]),c_0_142]) ).
cnf(c_0_227,negated_conjecture,
( epred27_0
| epred25_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_26]),c_0_28]) ).
cnf(c_0_228,negated_conjecture,
( epred25_0
| hskp22
| hskp20
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_78,c_0_144]) ).
cnf(c_0_229,negated_conjecture,
( hskp27
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_145]) ).
cnf(c_0_230,negated_conjecture,
( epred25_0
| epred4_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_78,c_0_146]) ).
cnf(c_0_231,negated_conjecture,
( epred21_0
| hskp7
| hskp1 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_232,negated_conjecture,
( epred25_0
| epred4_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_233,negated_conjecture,
( epred45_0
| c3_1(a656)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_59]),c_0_60]) ).
cnf(c_0_234,negated_conjecture,
( epred46_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_59]),c_0_62]),c_0_60]) ).
cnf(c_0_235,negated_conjecture,
( hskp29
| hskp10
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_153]),c_0_154]),c_0_155]) ).
cnf(c_0_236,negated_conjecture,
( epred29_0
| ~ hskp27
| ~ c1_1(a655) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_156]),c_0_157]) ).
cnf(c_0_237,negated_conjecture,
( hskp28
| hskp17
| c1_1(a655)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_156]),c_0_158]) ).
cnf(c_0_238,negated_conjecture,
( epred24_0
| hskp27
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_159]),c_0_9])]) ).
cnf(c_0_239,negated_conjecture,
( epred47_0
| epred29_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).
cnf(c_0_240,negated_conjecture,
( epred29_0
| hskp29
| hskp5
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_241,negated_conjecture,
( epred47_0
| hskp19
| hskp17
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_68,c_0_165]) ).
cnf(c_0_242,negated_conjecture,
( epred47_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_25]),c_0_72]),c_0_74]) ).
cnf(c_0_243,negated_conjecture,
( epred16_0
| ~ hskp18
| ~ c3_1(a676) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_94]),c_0_95]) ).
cnf(c_0_244,negated_conjecture,
( epred1_0
| c3_1(a676)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_93]),c_0_95]) ).
cnf(c_0_245,negated_conjecture,
( epred44_0
| c3_1(a665)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_61]),c_0_16]) ).
cnf(c_0_246,negated_conjecture,
( epred44_0
| epred29_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_163,c_0_167]) ).
cnf(c_0_247,negated_conjecture,
( epred44_0
| hskp29
| hskp10
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_154]),c_0_155]) ).
cnf(c_0_248,negated_conjecture,
( epred27_0
| ~ hskp2
| ~ c3_1(a643) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_74]),c_0_72]) ).
cnf(c_0_249,negated_conjecture,
( epred44_0
| hskp29
| hskp10
| c3_1(a643)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_168,c_0_72]) ).
cnf(c_0_250,negated_conjecture,
( epred27_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_161]),c_0_162]),c_0_169]) ).
cnf(c_0_251,negated_conjecture,
( epred36_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_170]),c_0_16]),c_0_14]) ).
cnf(c_0_252,negated_conjecture,
( epred47_0
| ~ hskp5
| ~ c2_1(a647) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_25]),c_0_172]) ).
cnf(c_0_253,negated_conjecture,
( epred10_0
| c2_1(a647)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_172]),c_0_174]) ).
cnf(c_0_254,negated_conjecture,
( epred47_0
| epred11_0
| hskp19
| hskp5
| hskp2 ),
inference(spm,[status(thm)],[c_0_175,c_0_116]) ).
cnf(c_0_255,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp2
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_256,negated_conjecture,
( epred47_0
| epred9_0
| epred4_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_257,negated_conjecture,
( epred6_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_178]) ).
cnf(c_0_258,negated_conjecture,
( ~ c0_1(a691)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_259,negated_conjecture,
( ~ c3_1(a691)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_260,negated_conjecture,
( ~ c1_1(a691)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_261,negated_conjecture,
( hskp21
| hskp11
| ~ hskp18
| ~ c3_1(a676) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_93]),c_0_95]) ).
cnf(c_0_262,negated_conjecture,
( hskp19
| hskp8
| c3_1(a676)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_93]),c_0_95]) ).
cnf(c_0_263,negated_conjecture,
( hskp21
| hskp11
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_130]),c_0_181]),c_0_131]) ).
fof(c_0_264,plain,
( ~ epred28_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| hskp7
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_265,negated_conjecture,
( epred43_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_182]),c_0_9])]) ).
cnf(c_0_266,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_267,negated_conjecture,
( epred42_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_183]),c_0_184]),c_0_185]) ).
cnf(c_0_268,negated_conjecture,
( epred13_0
| epred8_0
| hskp12
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_269,negated_conjecture,
( epred25_0
| epred13_0
| hskp2
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_77,c_0_188]) ).
cnf(c_0_270,negated_conjecture,
( epred42_0
| epred25_0
| hskp17
| hskp2 ),
inference(spm,[status(thm)],[c_0_128,c_0_189]) ).
cnf(c_0_271,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_190,c_0_8]),c_0_29]) ).
cnf(c_0_272,negated_conjecture,
( epred42_0
| epred25_0
| epred13_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_191]),c_0_192]) ).
cnf(c_0_273,negated_conjecture,
( epred42_0
| epred21_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_274,negated_conjecture,
( epred34_0
| hskp8
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_275,negated_conjecture,
( epred26_0
| hskp3
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_9])]) ).
cnf(c_0_276,negated_conjecture,
( epred29_0
| ~ hskp26
| ~ c2_1(a640) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_200]),c_0_201]) ).
cnf(c_0_277,negated_conjecture,
( epred16_0
| c2_1(a640)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_201]),c_0_202]) ).
cnf(c_0_278,negated_conjecture,
( ~ c0_1(a654)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_279,negated_conjecture,
( ~ c2_1(a654)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_280,negated_conjecture,
( ~ c1_1(a654)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_281,negated_conjecture,
( c1_1(a698)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_282,negated_conjecture,
( ~ c2_1(a698)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_283,negated_conjecture,
( ~ c0_1(a698)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_284,negated_conjecture,
( epred5_0
| hskp9
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_9])]) ).
cnf(c_0_285,negated_conjecture,
( epred39_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_204]) ).
cnf(c_0_286,negated_conjecture,
( hskp23
| hskp5
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_9])]) ).
cnf(c_0_287,negated_conjecture,
( epred41_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_206]) ).
cnf(c_0_288,negated_conjecture,
( epred47_0
| ~ hskp23
| ~ c1_1(a695) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_25]),c_0_208]) ).
cnf(c_0_289,negated_conjecture,
( epred35_0
| c1_1(a695)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_209]),c_0_210]) ).
cnf(c_0_290,negated_conjecture,
( epred11_0
| hskp5
| c1_1(a695)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_208]),c_0_207]) ).
cnf(c_0_291,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp6
| hskp3
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_292,negated_conjecture,
( hskp17
| hskp7
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_9])]) ).
cnf(c_0_293,negated_conjecture,
( epred30_0
| hskp8
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_9])]) ).
cnf(c_0_294,negated_conjecture,
( epred33_0
| hskp11
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_9])]) ).
cnf(c_0_295,negated_conjecture,
( epred37_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_214]),c_0_9])]) ).
cnf(c_0_296,negated_conjecture,
( hskp20
| hskp12
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_9])]) ).
cnf(c_0_297,negated_conjecture,
( c0_1(a657)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_298,negated_conjecture,
( c2_1(a657)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_299,negated_conjecture,
( ~ c3_1(a657)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_300,plain,
( ~ epred15_0
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| hskp6
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_301,plain,
( ~ epred12_0
<=> ! [X1] :
( c2_1(X1)
| c1_1(X1)
| hskp12
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_302,negated_conjecture,
( epred45_0
| hskp2
| c1_1(X1)
| c3_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_151,c_0_32]) ).
cnf(c_0_303,negated_conjecture,
( epred45_0
| epred7_0
| hskp1
| c1_1(X1)
| c3_1(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_18]) ).
cnf(c_0_304,negated_conjecture,
( hskp29
| hskp1
| c3_1(a656)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_59]),c_0_62]) ).
cnf(c_0_305,negated_conjecture,
( epred21_0
| c2_1(a640)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_200]),c_0_201]) ).
cnf(c_0_306,negated_conjecture,
( hskp26
| c2_1(a651)
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_217]),c_0_96]) ).
cnf(c_0_307,negated_conjecture,
( hskp25
| hskp23
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_9])]) ).
cnf(c_0_308,negated_conjecture,
( hskp18
| hskp4
| c1_1(a652)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_130]),c_0_181]) ).
cnf(c_0_309,negated_conjecture,
( ~ c1_1(a646)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_310,negated_conjecture,
( epred38_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_220]) ).
cnf(c_0_311,negated_conjecture,
( ~ c2_1(a646)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_312,negated_conjecture,
( ~ c3_1(a646)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_313,negated_conjecture,
( hskp18
| hskp4
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_39]),c_0_37]),c_0_36]) ).
cnf(c_0_314,negated_conjecture,
( epred40_0
| ~ hskp23
| ~ c1_1(a695) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_221]),c_0_210]) ).
cnf(c_0_315,negated_conjecture,
( epred29_0
| hskp17
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_163,c_0_222]) ).
cnf(c_0_316,negated_conjecture,
( epred1_0
| hskp17
| hskp2
| hskp1 ),
inference(spm,[status(thm)],[c_0_223,c_0_81]) ).
cnf(c_0_317,negated_conjecture,
( epred25_0
| epred2_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_318,negated_conjecture,
( epred27_0
| epred25_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_157]),c_0_158]) ).
cnf(c_0_319,negated_conjecture,
( epred25_0
| epred14_0
| hskp27
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_149,c_0_226]) ).
cnf(c_0_320,negated_conjecture,
( epred27_0
| epred25_0
| hskp20
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_321,negated_conjecture,
( ~ epred14_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_229,c_0_88]),c_0_46]) ).
cnf(c_0_322,negated_conjecture,
( epred25_0
| epred21_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).
cnf(c_0_323,negated_conjecture,
( epred45_0
| epred25_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_224,c_0_233]) ).
cnf(c_0_324,negated_conjecture,
( hskp29
| hskp10
| c3_1(a643)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_74]),c_0_72]) ).
cnf(c_0_325,negated_conjecture,
( epred46_0
| hskp29
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_326,negated_conjecture,
( hskp18
| hskp2
| hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_327,negated_conjecture,
( epred29_0
| hskp17
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_163]) ).
cnf(c_0_328,negated_conjecture,
( epred24_0
| hskp27
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_172]),c_0_174]),c_0_171]) ).
cnf(c_0_329,negated_conjecture,
( epred47_0
| epred29_0
| hskp5
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_330,negated_conjecture,
( epred47_0
| hskp19
| hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_116]),c_0_242]) ).
cnf(c_0_331,negated_conjecture,
( epred16_0
| epred1_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_332,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_333,negated_conjecture,
( epred44_0
| epred25_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_40,c_0_245]) ).
cnf(c_0_334,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_335,negated_conjecture,
( epred44_0
| epred29_0
| hskp29
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_336,negated_conjecture,
( epred44_0
| epred27_0
| hskp10
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).
cnf(c_0_337,negated_conjecture,
( epred36_0
| hskp17
| hskp1 ),
inference(spm,[status(thm)],[c_0_251,c_0_81]) ).
cnf(c_0_338,negated_conjecture,
( epred47_0
| epred10_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_339,negated_conjecture,
( epred47_0
| epred11_0
| epred4_0
| hskp5
| hskp2 ),
inference(spm,[status(thm)],[c_0_176,c_0_254]) ).
cnf(c_0_340,negated_conjecture,
( hskp2
| c2_1(X2)
| c3_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_255]) ).
cnf(c_0_341,negated_conjecture,
( epred47_0
| epred9_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_256]) ).
cnf(c_0_342,negated_conjecture,
( epred6_0
| c3_1(a665)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_257]),c_0_16]) ).
fof(c_0_343,plain,
( ~ epred20_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| hskp10
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_344,negated_conjecture,
( epred35_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_209]),c_0_259]),c_0_260]) ).
cnf(c_0_345,negated_conjecture,
( hskp21
| hskp19
| hskp11
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_346,negated_conjecture,
( epred28_0
| hskp7
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_264]),c_0_9])]) ).
cnf(c_0_347,negated_conjecture,
( epred43_0
| ~ hskp2
| ~ c3_1(a643) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_265]),c_0_74]) ).
cnf(c_0_348,negated_conjecture,
( c2_1(X3)
| c3_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X3)
| ~ c1_1(X1)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_266]) ).
cnf(c_0_349,negated_conjecture,
( epred42_0
| epred13_0
| epred8_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_350,negated_conjecture,
( epred42_0
| epred25_0
| epred13_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_351,negated_conjecture,
( epred42_0
| epred25_0
| epred13_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_352,negated_conjecture,
( epred42_0
| epred34_0
| epred21_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_353,negated_conjecture,
( epred26_0
| hskp3
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_97]),c_0_96]),c_0_142]) ).
cnf(c_0_354,negated_conjecture,
( hskp2
| hskp0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_32]),c_0_259]),c_0_260]) ).
cnf(c_0_355,negated_conjecture,
( epred29_0
| epred16_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_356,negated_conjecture,
( hskp26
| hskp0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_217]),c_0_279]),c_0_280]) ).
cnf(c_0_357,negated_conjecture,
( epred16_0
| ~ hskp24
| ~ c3_1(a698) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_281]),c_0_282]) ).
cnf(c_0_358,negated_conjecture,
( epred5_0
| hskp9
| c3_1(a698)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_282]) ).
cnf(c_0_359,negated_conjecture,
( epred39_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_200]),c_0_202]),c_0_201]) ).
cnf(c_0_360,negated_conjecture,
( hskp23
| hskp5
| c2_1(a642)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_39]),c_0_37]) ).
cnf(c_0_361,negated_conjecture,
( epred41_0
| ~ hskp23
| ~ c1_1(a695) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_287]),c_0_208]) ).
cnf(c_0_362,negated_conjecture,
( epred47_0
| epred35_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_363,negated_conjecture,
( hskp23
| hskp5
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_130]),c_0_181]),c_0_131]) ).
cnf(c_0_364,negated_conjecture,
( epred47_0
| epred11_0
| hskp5
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_288,c_0_290]) ).
cnf(c_0_365,negated_conjecture,
( hskp6
| hskp3
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_9])]) ).
cnf(c_0_366,negated_conjecture,
( hskp17
| hskp7
| c1_1(a693)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_28]),c_0_26]) ).
cnf(c_0_367,negated_conjecture,
( epred30_0
| hskp8
| c1_1(a693)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_28]),c_0_24]) ).
cnf(c_0_368,negated_conjecture,
( epred37_0
| epred33_0
| hskp11
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_369,negated_conjecture,
( hskp20
| hskp12
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),c_0_299]) ).
cnf(c_0_370,negated_conjecture,
( epred15_0
| hskp6
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_300]),c_0_9])]) ).
cnf(c_0_371,negated_conjecture,
( epred12_0
| hskp12
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_301]),c_0_9])]) ).
cnf(c_0_372,negated_conjecture,
( epred45_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_119]),c_0_120]),c_0_121]) ).
cnf(c_0_373,negated_conjecture,
( epred45_0
| hskp2
| hskp0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_302]),c_0_65]) ).
cnf(c_0_374,negated_conjecture,
( epred45_0
| epred7_0
| hskp1
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_303]),c_0_65]) ).
cnf(c_0_375,negated_conjecture,
( hskp29
| hskp28
| hskp17
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_304]),c_0_222]) ).
cnf(c_0_376,negated_conjecture,
( epred29_0
| epred21_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_276,c_0_305]) ).
cnf(c_0_377,negated_conjecture,
( epred25_0
| hskp26
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_306]),c_0_77]) ).
cnf(c_0_378,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_379,negated_conjecture,
( ~ c2_1(a710)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_380,negated_conjecture,
( ~ c3_1(a710)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_381,negated_conjecture,
( epred47_0
| hskp25
| hskp23
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_25]) ).
cnf(c_0_382,negated_conjecture,
( epred21_0
| hskp4
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_308]),c_0_147]) ).
cnf(c_0_383,negated_conjecture,
( epred38_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_312]) ).
cnf(c_0_384,negated_conjecture,
( epred21_0
| hskp4
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_147,c_0_313]) ).
cnf(c_0_385,negated_conjecture,
( epred11_0
| hskp5
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_16]),c_0_14]),c_0_17]) ).
cnf(c_0_386,negated_conjecture,
( epred40_0
| epred11_0
| hskp5
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_314,c_0_290]) ).
cnf(c_0_387,negated_conjecture,
( epred40_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_221]),c_0_172]),c_0_174]) ).
cnf(c_0_388,negated_conjecture,
( epred34_0
| hskp8
| ~ hskp24
| ~ c3_1(a698) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_281]),c_0_282]) ).
cnf(c_0_389,negated_conjecture,
( epred40_0
| c3_1(a698)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_221]),c_0_281]) ).
cnf(c_0_390,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_391,negated_conjecture,
( epred29_0
| epred1_0
| hskp17
| hskp2 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_392,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_393,negated_conjecture,
( epred25_0
| epred2_0
| hskp29
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_317,c_0_235]) ).
cnf(c_0_394,negated_conjecture,
( epred27_0
| epred25_0
| epred14_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_395,negated_conjecture,
( epred27_0
| epred25_0
| epred21_0
| hskp20
| hskp7 ),
inference(spm,[status(thm)],[c_0_320,c_0_231]) ).
cnf(c_0_396,negated_conjecture,
( epred25_0
| epred21_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_397,negated_conjecture,
( epred45_0
| epred25_0
| hskp29
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_323,c_0_235]) ).
cnf(c_0_398,negated_conjecture,
( epred27_0
| hskp10
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_324]),c_0_250]) ).
cnf(c_0_399,negated_conjecture,
( epred46_0
| epred27_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_250,c_0_325]) ).
cnf(c_0_400,negated_conjecture,
( epred21_0
| hskp20
| hskp2 ),
inference(spm,[status(thm)],[c_0_147,c_0_326]) ).
cnf(c_0_401,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp27
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_402,negated_conjecture,
( epred29_0
| epred24_0
| hskp17
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_403,negated_conjecture,
( epred47_0
| epred29_0
| hskp17
| hskp5 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_404,negated_conjecture,
( epred16_0
| epred1_0
| hskp4
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_331,c_0_313]) ).
cnf(c_0_405,negated_conjecture,
( c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_332]) ).
cnf(c_0_406,negated_conjecture,
( epred44_0
| epred25_0
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_81]),c_0_110]) ).
cnf(c_0_407,negated_conjecture,
( c2_1(X3)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_334]) ).
cnf(c_0_408,negated_conjecture,
( epred44_0
| epred29_0
| epred27_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_250,c_0_335]) ).
cnf(c_0_409,negated_conjecture,
( epred44_0
| epred29_0
| epred27_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_246,c_0_336]) ).
cnf(c_0_410,negated_conjecture,
( epred36_0
| epred29_0
| hskp17 ),
inference(spm,[status(thm)],[c_0_315,c_0_337]) ).
cnf(c_0_411,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp5
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_412,negated_conjecture,
( epred6_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_257]),c_0_64]),c_0_65]) ).
cnf(c_0_413,negated_conjecture,
( epred47_0
| epred4_0
| hskp17 ),
inference(spm,[status(thm)],[c_0_176,c_0_330]) ).
cnf(c_0_414,negated_conjecture,
( epred47_0
| epred11_0
| epred10_0
| epred4_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_415,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_340,c_0_11]),c_0_113]) ).
cnf(c_0_416,negated_conjecture,
( epred47_0
| epred9_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_341]) ).
cnf(c_0_417,negated_conjecture,
( epred25_0
| epred6_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_40,c_0_342]) ).
fof(c_0_418,plain,
( ~ epred18_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_419,negated_conjecture,
( epred20_0
| hskp10
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_343]),c_0_9])]) ).
cnf(c_0_420,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_421,negated_conjecture,
( epred41_0
| epred29_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_287]) ).
cnf(c_0_422,negated_conjecture,
( epred2_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_297]),c_0_298]),c_0_299]) ).
cnf(c_0_423,negated_conjecture,
( epred35_0
| hskp19
| hskp11
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_424,negated_conjecture,
( epred28_0
| hskp7
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_119]),c_0_120]),c_0_121]) ).
cnf(c_0_425,negated_conjecture,
( epred43_0
| hskp13
| hskp12
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_347,c_0_123]) ).
cnf(c_0_426,negated_conjecture,
( ~ epred43_0
| ~ epred21_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_348,c_0_182]),c_0_31]),c_0_47]) ).
cnf(c_0_427,negated_conjecture,
( epred42_0
| epred25_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).
cnf(c_0_428,negated_conjecture,
( epred42_0
| epred34_0
| epred26_0
| epred21_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_429,negated_conjecture,
( epred42_0
| epred25_0
| epred21_0
| hskp7 ),
inference(spm,[status(thm)],[c_0_128,c_0_231]) ).
fof(c_0_430,plain,
( ~ epred17_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp7
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_431,negated_conjecture,
( hskp11
| hskp2
| hskp0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_354,c_0_263]) ).
cnf(c_0_432,negated_conjecture,
( epred10_0
| c3_1(a698)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_281]),c_0_282]) ).
cnf(c_0_433,negated_conjecture,
( hskp21
| hskp11
| ~ hskp12
| ~ c3_1(a660) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_183]),c_0_184]) ).
cnf(c_0_434,negated_conjecture,
( epred28_0
| hskp7
| c3_1(a660)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_183]),c_0_185]) ).
cnf(c_0_435,negated_conjecture,
( epred29_0
| epred16_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_436,negated_conjecture,
( epred16_0
| epred5_0
| hskp9
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_437,negated_conjecture,
( epred25_0
| hskp24
| hskp20 ),
inference(spm,[status(thm)],[c_0_77,c_0_4]) ).
cnf(c_0_438,negated_conjecture,
( epred39_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_359,c_0_356]) ).
cnf(c_0_439,negated_conjecture,
( epred41_0
| ~ hskp5
| ~ c2_1(a647) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_287]),c_0_172]) ).
cnf(c_0_440,negated_conjecture,
( epred5_0
| hskp9
| c2_1(a647)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_284]),c_0_174]) ).
cnf(c_0_441,negated_conjecture,
( epred25_0
| hskp23
| hskp5
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_78,c_0_360]) ).
cnf(c_0_442,negated_conjecture,
( epred37_0
| c2_1(a647)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_295]),c_0_174]) ).
cnf(c_0_443,negated_conjecture,
( epred41_0
| epred11_0
| hskp5
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_361,c_0_290]) ).
cnf(c_0_444,negated_conjecture,
( epred47_0
| epred35_0
| hskp5
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_445,negated_conjecture,
( epred30_0
| hskp8
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_97]),c_0_96]),c_0_142]) ).
cnf(c_0_446,negated_conjecture,
( epred47_0
| epred11_0
| hskp5
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_364,c_0_363]) ).
cnf(c_0_447,negated_conjecture,
( epred21_0
| ~ hskp6
| ~ c1_1(a648) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_83]),c_0_84]) ).
cnf(c_0_448,negated_conjecture,
( epred42_0
| c1_1(a648)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_83]),c_0_84]) ).
cnf(c_0_449,negated_conjecture,
( hskp6
| hskp3
| c3_1(a643)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_72]),c_0_70]) ).
cnf(c_0_450,negated_conjecture,
( epred47_0
| hskp17
| hskp7
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_68,c_0_366]) ).
cnf(c_0_451,negated_conjecture,
( hskp22
| hskp20
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_130]),c_0_181]),c_0_131]) ).
cnf(c_0_452,negated_conjecture,
( epred47_0
| epred30_0
| hskp8
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_68,c_0_367]) ).
cnf(c_0_453,negated_conjecture,
( epred37_0
| epred33_0
| hskp11
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_368]),c_0_312]) ).
cnf(c_0_454,negated_conjecture,
( hskp22
| hskp20
| ~ hskp18
| ~ c3_1(a676) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_93]),c_0_95]) ).
cnf(c_0_455,negated_conjecture,
( epred10_0
| c3_1(a676)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_94]),c_0_95]) ).
cnf(c_0_456,negated_conjecture,
( epred42_0
| hskp20
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_267,c_0_369]) ).
cnf(c_0_457,negated_conjecture,
( epred33_0
| hskp11
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_458,negated_conjecture,
( epred43_0
| ~ hskp24
| ~ c3_1(a698) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_265]),c_0_281]) ).
cnf(c_0_459,negated_conjecture,
( epred15_0
| hskp6
| c3_1(a698)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_281]),c_0_283]) ).
cnf(c_0_460,negated_conjecture,
( epred47_0
| epred2_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_25]) ).
cnf(c_0_461,negated_conjecture,
( epred2_0
| ~ hskp13
| ~ c2_1(a661) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_119]),c_0_120]) ).
cnf(c_0_462,negated_conjecture,
( epred12_0
| hskp12
| c2_1(a661)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_119]),c_0_121]) ).
cnf(c_0_463,negated_conjecture,
( epred46_0
| ~ hskp13
| ~ c2_1(a661) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_119]),c_0_121]) ).
cnf(c_0_464,negated_conjecture,
( epred42_0
| c2_1(a661)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_119]),c_0_121]) ).
cnf(c_0_465,negated_conjecture,
( epred45_0
| epred8_0
| hskp12
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_372,c_0_187]) ).
cnf(c_0_466,negated_conjecture,
( epred45_0
| epred25_0
| hskp2
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_77,c_0_373]) ).
cnf(c_0_467,negated_conjecture,
( epred45_0
| epred42_0
| epred25_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_374]),c_0_192]) ).
cnf(c_0_468,negated_conjecture,
( epred25_0
| hskp29
| hskp1
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_224,c_0_304]) ).
cnf(c_0_469,negated_conjecture,
( epred29_0
| hskp29
| hskp17
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_163,c_0_375]) ).
cnf(c_0_470,negated_conjecture,
( epred29_0
| epred25_0
| epred21_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_471,negated_conjecture,
( hskp2
| c1_1(a695)
| hskp0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_32]),c_0_210]) ).
cnf(c_0_472,negated_conjecture,
( epred37_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_295]),c_0_379]),c_0_380]) ).
cnf(c_0_473,negated_conjecture,
( epred47_0
| hskp25
| hskp23
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_153]),c_0_154]) ).
cnf(c_0_474,negated_conjecture,
( epred34_0
| epred21_0
| hskp4
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_382,c_0_274]) ).
cnf(c_0_475,negated_conjecture,
( epred38_0
| epred21_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_476,negated_conjecture,
( epred37_0
| epred1_0
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_295]) ).
cnf(c_0_477,negated_conjecture,
( epred11_0
| hskp17
| hskp5
| hskp1 ),
inference(spm,[status(thm)],[c_0_385,c_0_81]) ).
cnf(c_0_478,negated_conjecture,
( epred40_0
| epred11_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_363]),c_0_387]) ).
cnf(c_0_479,negated_conjecture,
( epred40_0
| epred34_0
| hskp8
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_480,negated_conjecture,
( c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_390]) ).
cnf(c_0_481,negated_conjecture,
( epred44_0
| epred29_0
| epred1_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_110,c_0_391]) ).
cnf(c_0_482,negated_conjecture,
( c3_1(X3)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_392]) ).
cnf(c_0_483,negated_conjecture,
( epred27_0
| epred25_0
| epred2_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_250,c_0_393]) ).
cnf(c_0_484,negated_conjecture,
( epred27_0
| epred25_0
| epred21_0
| hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_396]) ).
cnf(c_0_485,negated_conjecture,
( epred45_0
| epred27_0
| epred25_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_250,c_0_397]) ).
cnf(c_0_486,negated_conjecture,
( epred46_0
| epred27_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_234,c_0_398]) ).
cnf(c_0_487,negated_conjecture,
( epred46_0
| epred27_0
| epred21_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_488,negated_conjecture,
( epred28_0
| hskp7
| c3_1(a656)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_59]),c_0_60]) ).
cnf(c_0_489,negated_conjecture,
( hskp27
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_401]) ).
cnf(c_0_490,negated_conjecture,
( epred47_0
| epred29_0
| epred24_0
| hskp17 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_491,negated_conjecture,
( c2_1(X1)
| hskp2
| hskp24
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_492,negated_conjecture,
( epred16_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_493,negated_conjecture,
( epred38_0
| epred16_0
| epred1_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_383,c_0_404]) ).
cnf(c_0_494,negated_conjecture,
( epred16_0
| epred1_0
| hskp7
| hskp1 ),
inference(spm,[status(thm)],[c_0_331,c_0_148]) ).
cnf(c_0_495,negated_conjecture,
( ~ epred47_0
| ~ epred27_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_405,c_0_10]),c_0_7]),c_0_44]) ).
cnf(c_0_496,negated_conjecture,
( epred44_0
| epred29_0
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_406]),c_0_110]) ).
cnf(c_0_497,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_407,c_0_133]),c_0_112]),c_0_47]) ).
cnf(c_0_498,negated_conjecture,
( epred44_0
| epred29_0
| epred27_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_400]),c_0_409]) ).
cnf(c_0_499,negated_conjecture,
( epred44_0
| epred36_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_410]) ).
cnf(c_0_500,negated_conjecture,
( c3_1(X1)
| hskp15
| hskp9
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_501,negated_conjecture,
( hskp5
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_411]) ).
cnf(c_0_502,negated_conjecture,
( epred47_0
| epred6_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_503,negated_conjecture,
( epred47_0
| epred11_0
| epred10_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_414]) ).
cnf(c_0_504,negated_conjecture,
( epred47_0
| ~ epred14_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_505,negated_conjecture,
( epred25_0
| epred6_0
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_81]),c_0_412]) ).
cnf(c_0_506,negated_conjecture,
( epred18_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_418]) ).
cnf(c_0_507,negated_conjecture,
( epred20_0
| hskp10
| c2_1(a651)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_97]),c_0_142]) ).
cnf(c_0_508,negated_conjecture,
( epred15_0
| hskp6
| c3_1(a643)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_74]),c_0_70]) ).
cnf(c_0_509,negated_conjecture,
( c2_1(X3)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_420]) ).
cnf(c_0_510,negated_conjecture,
( epred41_0
| epred29_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_153]),c_0_154]) ).
cnf(c_0_511,negated_conjecture,
( epred41_0
| epred29_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_74]),c_0_72]) ).
cnf(c_0_512,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_513,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_514,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_515,negated_conjecture,
( c2_1(X1)
| hskp8
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_516,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp11
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_517,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp8
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_518,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp7
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_519,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_520,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp10
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_521,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| hskp7
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_522,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| hskp6
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_523,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp12
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_524,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp9
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_525,negated_conjecture,
( epred29_0
| epred27_0
| hskp5
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_250,c_0_240]) ).
cnf(c_0_526,negated_conjecture,
( epred35_0
| epred2_0
| hskp19
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_527,negated_conjecture,
( epred43_0
| epred28_0
| hskp12
| hskp7
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_528,negated_conjecture,
( epred42_0
| epred25_0
| ~ epred43_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_529,negated_conjecture,
( epred42_0
| epred34_0
| epred26_0
| epred25_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_530,negated_conjecture,
( epred46_0
| hskp2
| c1_1(X1)
| c3_1(X1)
| hskp0
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_32]) ).
cnf(c_0_531,negated_conjecture,
( epred28_0
| hskp7
| hskp2
| c1_1(X1)
| c3_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_346,c_0_32]) ).
cnf(c_0_532,negated_conjecture,
( epred2_0
| hskp2
| c1_1(X1)
| c3_1(X1)
| hskp0
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_32]) ).
cnf(c_0_533,negated_conjecture,
( epred1_0
| hskp2
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_82,c_0_32]) ).
cnf(c_0_534,negated_conjecture,
( epred17_0
| hskp7
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_430]),c_0_9])]) ).
cnf(c_0_535,negated_conjecture,
( hskp2
| c3_1(a654)
| hskp0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_32]),c_0_280]) ).
cnf(c_0_536,negated_conjecture,
( epred2_0
| hskp2
| hskp0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_422,c_0_431]) ).
cnf(c_0_537,negated_conjecture,
( epred34_0
| epred10_0
| hskp8
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_388,c_0_432]) ).
cnf(c_0_538,negated_conjecture,
( epred28_0
| hskp21
| hskp11
| hskp7
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_539,negated_conjecture,
( hskp2
| c1_1(a710)
| hskp0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_32]),c_0_380]) ).
cnf(c_0_540,negated_conjecture,
( epred29_0
| epred25_0
| epred16_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_77,c_0_435]) ).
cnf(c_0_541,negated_conjecture,
( epred25_0
| epred16_0
| epred5_0
| hskp20
| hskp9 ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_542,negated_conjecture,
( epred39_0
| epred25_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_77,c_0_438]) ).
cnf(c_0_543,negated_conjecture,
( epred41_0
| epred5_0
| hskp9
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_439,c_0_440]) ).
cnf(c_0_544,negated_conjecture,
( epred40_0
| epred25_0
| epred11_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_441]),c_0_387]) ).
cnf(c_0_545,negated_conjecture,
( epred41_0
| epred37_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_439,c_0_442]) ).
cnf(c_0_546,negated_conjecture,
( epred41_0
| epred25_0
| epred11_0
| hskp5
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_443,c_0_441]) ).
cnf(c_0_547,negated_conjecture,
( epred47_0
| epred35_0
| epred30_0
| hskp5
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_548,negated_conjecture,
( epred47_0
| epred30_0
| epred11_0
| hskp5
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_446,c_0_445]) ).
cnf(c_0_549,negated_conjecture,
( hskp6
| hskp2
| c0_1(a675)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_64]),c_0_63]) ).
cnf(c_0_550,negated_conjecture,
( epred42_0
| epred21_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_447,c_0_448]) ).
cnf(c_0_551,negated_conjecture,
( epred27_0
| hskp6
| hskp3
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_248,c_0_449]) ).
cnf(c_0_552,negated_conjecture,
( hskp6
| hskp3
| c0_1(a675)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_64]),c_0_65]) ).
cnf(c_0_553,negated_conjecture,
( hskp6
| hskp3
| c0_1(a686)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_154]),c_0_155]) ).
cnf(c_0_554,negated_conjecture,
( epred47_0
| hskp20
| hskp17
| hskp7
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_555,negated_conjecture,
( epred47_0
| epred30_0
| hskp19
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_116]),c_0_242]) ).
cnf(c_0_556,negated_conjecture,
( hskp13
| hskp12
| c3_1(a698)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_281]),c_0_283]) ).
cnf(c_0_557,negated_conjecture,
( hskp28
| hskp16
| c2_1(a651)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_97]),c_0_96]) ).
cnf(c_0_558,negated_conjecture,
( epred37_0
| epred33_0
| epred2_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_422,c_0_453]) ).
cnf(c_0_559,negated_conjecture,
( epred10_0
| hskp22
| hskp20
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_560,negated_conjecture,
( hskp17
| hskp7
| c1_1(a655)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_158]),c_0_157]) ).
cnf(c_0_561,negated_conjecture,
( epred42_0
| epred33_0
| hskp20
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_562,negated_conjecture,
( epred43_0
| epred15_0
| hskp6
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_563,negated_conjecture,
( epred47_0
| epred44_0
| epred2_0
| c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_460,c_0_61]) ).
cnf(c_0_564,negated_conjecture,
( epred24_0
| hskp27
| c3_1(a698)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_281]),c_0_283]) ).
cnf(c_0_565,negated_conjecture,
( epred40_0
| epred29_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_221]) ).
cnf(c_0_566,negated_conjecture,
( epred15_0
| hskp6
| c0_1(a686)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_153]),c_0_155]) ).
cnf(c_0_567,negated_conjecture,
( epred11_0
| hskp5
| c0_1(a675)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_64]),c_0_63]) ).
cnf(c_0_568,negated_conjecture,
( epred9_0
| hskp2
| c0_1(a682)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_54]),c_0_56]) ).
cnf(c_0_569,negated_conjecture,
( epred35_0
| c3_1(a665)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_209]),c_0_14]) ).
cnf(c_0_570,negated_conjecture,
( epred12_0
| epred2_0
| hskp12
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_571,negated_conjecture,
( epred46_0
| epred42_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_572,negated_conjecture,
( epred45_0
| epred42_0
| epred8_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_267,c_0_465]) ).
cnf(c_0_573,negated_conjecture,
( epred45_0
| epred42_0
| epred25_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_466,c_0_270]) ).
cnf(c_0_574,negated_conjecture,
( epred45_0
| epred42_0
| epred25_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_467]) ).
cnf(c_0_575,negated_conjecture,
( epred29_0
| epred25_0
| hskp17
| hskp2 ),
inference(spm,[status(thm)],[c_0_315,c_0_189]) ).
cnf(c_0_576,negated_conjecture,
( epred27_0
| epred25_0
| hskp1
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_398]),c_0_250]) ).
cnf(c_0_577,negated_conjecture,
( epred29_0
| hskp29
| hskp17
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_469,c_0_235]) ).
cnf(c_0_578,negated_conjecture,
( epred42_0
| epred29_0
| epred25_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_470,c_0_429]) ).
cnf(c_0_579,negated_conjecture,
( hskp24
| hskp14
| hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_580,negated_conjecture,
( epred47_0
| hskp0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_471]),c_0_242]) ).
cnf(c_0_581,negated_conjecture,
( epred47_0
| epred37_0
| hskp23
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_582,negated_conjecture,
( epred38_0
| epred34_0
| epred21_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_383,c_0_474]) ).
cnf(c_0_583,negated_conjecture,
( epred38_0
| epred21_0
| hskp7 ),
inference(spm,[status(thm)],[c_0_475,c_0_231]) ).
cnf(c_0_584,negated_conjecture,
( epred37_0
| epred1_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_476]),c_0_312]) ).
cnf(c_0_585,negated_conjecture,
( epred40_0
| epred11_0
| hskp17
| hskp1 ),
inference(spm,[status(thm)],[c_0_387,c_0_477]) ).
cnf(c_0_586,negated_conjecture,
( epred40_0
| epred34_0
| epred11_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_478,c_0_479]) ).
cnf(c_0_587,negated_conjecture,
( epred40_0
| epred34_0
| epred11_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_478,c_0_274]) ).
cnf(c_0_588,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_42]),c_0_87]) ).
cnf(c_0_589,negated_conjecture,
( epred44_0
| epred29_0
| epred27_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_481]) ).
cnf(c_0_590,negated_conjecture,
( ~ epred46_0
| ~ epred45_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_482,c_0_98]),c_0_99]),c_0_87]) ).
cnf(c_0_591,negated_conjecture,
( epred27_0
| epred25_0
| epred21_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_592,negated_conjecture,
( epred45_0
| epred27_0
| epred25_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_485,c_0_484]) ).
cnf(c_0_593,negated_conjecture,
( epred46_0
| epred27_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_594,negated_conjecture,
( epred28_0
| epred25_0
| hskp7
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_224,c_0_488]) ).
cnf(c_0_595,negated_conjecture,
( ~ epred25_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_489,c_0_159]),c_0_7]) ).
cnf(c_0_596,negated_conjecture,
( epred47_0
| epred44_0
| epred29_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_490]) ).
cnf(c_0_597,negated_conjecture,
( hskp28
| hskp16
| c1_1(a652)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_181]),c_0_131]) ).
cnf(c_0_598,negated_conjecture,
( hskp24
| hskp2
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_9])]) ).
cnf(c_0_599,negated_conjecture,
( epred26_0
| epred16_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_492,c_0_353]) ).
cnf(c_0_600,negated_conjecture,
( epred38_0
| epred16_0
| epred1_0
| hskp7 ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_601,negated_conjecture,
( epred39_0
| ~ hskp27
| ~ c1_1(a655) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_156]),c_0_158]) ).
cnf(c_0_602,negated_conjecture,
( epred44_0
| epred29_0
| ~ epred47_0
| ~ epred27_0 ),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_603,negated_conjecture,
( epred44_0
| epred29_0
| epred27_0
| ~ epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_499]) ).
cnf(c_0_604,negated_conjecture,
( hskp15
| hskp9
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_9])]) ).
cnf(c_0_605,negated_conjecture,
( hskp25
| hskp23
| ~ hskp27
| ~ c1_1(a655) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_156]),c_0_157]) ).
cnf(c_0_606,negated_conjecture,
( hskp25
| hskp23
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_101]),c_0_102]),c_0_103]) ).
cnf(c_0_607,negated_conjecture,
( ~ epred11_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_501,c_0_23]),c_0_178]) ).
cnf(c_0_608,negated_conjecture,
( epred47_0
| epred6_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_502]) ).
cnf(c_0_609,negated_conjecture,
( epred47_0
| epred11_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_503]),c_0_504]) ).
cnf(c_0_610,negated_conjecture,
( hskp19
| hskp17
| ~ hskp7
| ~ c2_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_97]),c_0_96]) ).
cnf(c_0_611,negated_conjecture,
( epred29_0
| epred21_0
| hskp17
| hskp7 ),
inference(spm,[status(thm)],[c_0_315,c_0_231]) ).
cnf(c_0_612,negated_conjecture,
( epred29_0
| epred25_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_505]),c_0_412]) ).
cnf(c_0_613,negated_conjecture,
( epred28_0
| hskp7
| c1_1(a648)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_83]),c_0_85]) ).
cnf(c_0_614,negated_conjecture,
( epred18_0
| ~ hskp12
| ~ c3_1(a660) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_183]),c_0_184]) ).
cnf(c_0_615,negated_conjecture,
( epred25_0
| epred20_0
| hskp10
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_149,c_0_507]) ).
cnf(c_0_616,negated_conjecture,
( c3_1(a667)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_617,negated_conjecture,
( ~ c2_1(a667)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_618,negated_conjecture,
( ~ c0_1(a667)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_619,negated_conjecture,
( epred40_0
| c3_1(a643)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_221]),c_0_74]) ).
cnf(c_0_620,negated_conjecture,
( epred27_0
| epred15_0
| hskp6
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_248,c_0_508]) ).
cnf(c_0_621,negated_conjecture,
( epred27_0
| ~ hskp26
| ~ c2_1(a640) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_201]),c_0_202]) ).
cnf(c_0_622,negated_conjecture,
( epred27_0
| ~ hskp28
| ~ c3_1(a671) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_103]),c_0_102]) ).
cnf(c_0_623,negated_conjecture,
( epred2_0
| c3_1(a671)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_101]),c_0_102]) ).
cnf(c_0_624,negated_conjecture,
( ~ epred44_0
| ~ epred25_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_509,c_0_22]),c_0_7]),c_0_47]) ).
cnf(c_0_625,negated_conjecture,
( epred41_0
| epred29_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_400]),c_0_511]) ).
cnf(c_0_626,negated_conjecture,
( c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c1_1(X1)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_512]) ).
cnf(c_0_627,negated_conjecture,
( c2_1(X3)
| c3_1(X1)
| c1_1(X3)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_513]) ).
cnf(c_0_628,negated_conjecture,
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_514]) ).
cnf(c_0_629,negated_conjecture,
( hskp8
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_515]) ).
cnf(c_0_630,negated_conjecture,
( hskp11
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_516]) ).
cnf(c_0_631,negated_conjecture,
( hskp8
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_517]) ).
cnf(c_0_632,negated_conjecture,
( hskp7
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_518]) ).
cnf(c_0_633,negated_conjecture,
( hskp3
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_519]) ).
cnf(c_0_634,negated_conjecture,
( hskp10
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_520]) ).
cnf(c_0_635,negated_conjecture,
( hskp7
| c2_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_521]) ).
cnf(c_0_636,negated_conjecture,
( hskp6
| c2_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_522]) ).
cnf(c_0_637,negated_conjecture,
( hskp12
| c2_1(X1)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_523]) ).
cnf(c_0_638,negated_conjecture,
( hskp9
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_524]) ).
cnf(c_0_639,negated_conjecture,
( epred29_0
| epred27_0
| hskp5
| epred35_0
| epred2_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_640,negated_conjecture,
( epred42_0
| epred43_0
| epred28_0
| hskp7
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_267,c_0_527]) ).
cnf(c_0_641,negated_conjecture,
( epred42_0
| epred25_0
| epred34_0
| epred26_0
| ~ epred43_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_529]) ).
cnf(c_0_642,negated_conjecture,
( epred46_0
| hskp2
| c1_1(a675)
| c3_1(a675)
| hskp0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_530,c_0_64]) ).
cnf(c_0_643,negated_conjecture,
( epred28_0
| hskp7
| hskp2
| c3_1(a646)
| hskp0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_309,c_0_531]) ).
cnf(c_0_644,negated_conjecture,
( epred2_0
| hskp2
| c1_1(a675)
| c3_1(a675)
| hskp0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_532,c_0_64]) ).
cnf(c_0_645,negated_conjecture,
( epred1_0
| hskp2
| c3_1(a646)
| c2_1(a646)
| hskp0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_309,c_0_533]) ).
cnf(c_0_646,negated_conjecture,
( epred17_0
| hskp7
| c0_1(a654)
| c1_1(a654)
| hskp2
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_647,negated_conjecture,
( epred2_0
| hskp2
| hskp0
| epred34_0
| epred10_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_648,negated_conjecture,
( hskp2
| hskp0
| epred28_0
| hskp11
| hskp7
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_354,c_0_538]) ).
cnf(c_0_649,negated_conjecture,
( epred15_0
| hskp6
| c0_1(a710)
| c3_1(a710)
| hskp2
| hskp0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_370,c_0_539]) ).
cnf(c_0_650,negated_conjecture,
( epred29_0
| epred25_0
| epred16_0
| epred5_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_651,negated_conjecture,
( epred39_0
| epred25_0
| epred41_0
| epred5_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_542,c_0_543]) ).
cnf(c_0_652,negated_conjecture,
( epred40_0
| epred25_0
| epred11_0
| epred21_0
| hskp7 ),
inference(spm,[status(thm)],[c_0_544,c_0_231]) ).
cnf(c_0_653,negated_conjecture,
( epred41_0
| epred37_0
| epred25_0
| epred11_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_545,c_0_546]) ).
cnf(c_0_654,negated_conjecture,
( epred47_0
| epred10_0
| epred35_0
| epred30_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_338,c_0_547]) ).
cnf(c_0_655,negated_conjecture,
( epred47_0
| epred10_0
| epred30_0
| epred11_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_338,c_0_548]) ).
cnf(c_0_656,negated_conjecture,
( epred28_0
| hskp7
| c1_1(a675)
| c3_1(a675)
| hskp6
| hskp2
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_346,c_0_549]) ).
cnf(c_0_657,negated_conjecture,
( epred42_0
| epred21_0
| epred27_0
| hskp3
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_658,negated_conjecture,
( epred28_0
| hskp7
| c1_1(a675)
| c3_1(a675)
| hskp6
| hskp3
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_346,c_0_552]) ).
cnf(c_0_659,negated_conjecture,
( epred29_0
| hskp6
| hskp3
| ~ c1_1(a686)
| ~ c2_1(a686)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_100,c_0_553]) ).
cnf(c_0_660,negated_conjecture,
( epred47_0
| hskp20
| hskp17
| hskp7
| epred30_0
| hskp19 ),
inference(spm,[status(thm)],[c_0_554,c_0_555]) ).
cnf(c_0_661,negated_conjecture,
( epred20_0
| hskp10
| c0_1(a698)
| c2_1(a698)
| hskp13
| hskp12
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_419,c_0_556]) ).
cnf(c_0_662,negated_conjecture,
( hskp6
| hskp2
| c0_1(a651)
| c1_1(a651)
| hskp28
| hskp16
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_86,c_0_557]) ).
cnf(c_0_663,negated_conjecture,
( epred37_0
| epred33_0
| epred2_0
| epred34_0
| epred21_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_558,c_0_474]) ).
cnf(c_0_664,negated_conjecture,
( epred47_0
| hskp17
| hskp7
| epred10_0
| hskp20
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_450,c_0_559]) ).
cnf(c_0_665,negated_conjecture,
( epred27_0
| hskp17
| hskp7
| ~ c3_1(a655)
| ~ c2_1(a655)
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_89,c_0_560]) ).
cnf(c_0_666,negated_conjecture,
( epred42_0
| epred33_0
| hskp20
| epred43_0
| epred15_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_667,negated_conjecture,
( epred47_0
| epred44_0
| epred2_0
| c3_1(a686)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_563,c_0_154]) ).
cnf(c_0_668,negated_conjecture,
( epred47_0
| epred6_0
| c3_1(a695)
| ~ hskp23
| ~ c2_1(a695) ),
inference(spm,[status(thm)],[c_0_288,c_0_257]) ).
cnf(c_0_669,negated_conjecture,
( epred14_0
| hskp27
| c0_1(a698)
| c2_1(a698)
| epred24_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_141,c_0_564]) ).
cnf(c_0_670,negated_conjecture,
( epred9_0
| hskp2
| c0_1(a665)
| c1_1(a665)
| epred44_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_27,c_0_245]) ).
cnf(c_0_671,negated_conjecture,
( epred40_0
| epred29_0
| c3_1(a686)
| ~ c2_1(a686)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_565,c_0_153]) ).
cnf(c_0_672,negated_conjecture,
( epred29_0
| epred15_0
| hskp6
| ~ c1_1(a686)
| ~ c2_1(a686)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_100,c_0_566]) ).
cnf(c_0_673,negated_conjecture,
( epred40_0
| epred6_0
| c3_1(a695)
| ~ hskp23
| ~ c2_1(a695) ),
inference(spm,[status(thm)],[c_0_314,c_0_257]) ).
cnf(c_0_674,negated_conjecture,
( epred28_0
| hskp7
| c1_1(a675)
| c3_1(a675)
| epred11_0
| hskp5
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_346,c_0_567]) ).
cnf(c_0_675,negated_conjecture,
( hskp22
| hskp20
| c2_1(a682)
| epred9_0
| hskp2
| ~ c3_1(a682)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_90,c_0_568]) ).
cnf(c_0_676,negated_conjecture,
( hskp17
| hskp7
| c1_1(a665)
| epred35_0
| ~ c2_1(a665)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_292,c_0_569]) ).
cnf(c_0_677,negated_conjecture,
( epred43_0
| epred12_0
| epred2_0
| hskp12
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_570,c_0_425]) ).
cnf(c_0_678,negated_conjecture,
( epred46_0
| epred43_0
| epred42_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_425]),c_0_267]) ).
cnf(c_0_679,negated_conjecture,
( epred45_0
| epred42_0
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_574]) ).
cnf(c_0_680,negated_conjecture,
( epred45_0
| epred29_0
| epred25_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_466,c_0_575]) ).
cnf(c_0_681,negated_conjecture,
( epred27_0
| epred25_0
| hskp20
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_320,c_0_576]) ).
cnf(c_0_682,negated_conjecture,
( epred29_0
| epred27_0
| hskp17
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_250,c_0_577]) ).
cnf(c_0_683,negated_conjecture,
( epred42_0
| epred29_0
| epred25_0
| ~ epred43_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_578]) ).
cnf(c_0_684,negated_conjecture,
( epred25_0
| hskp24
| hskp17
| hskp2 ),
inference(spm,[status(thm)],[c_0_125,c_0_579]) ).
cnf(c_0_685,negated_conjecture,
( epred47_0
| epred37_0
| hskp0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_686,negated_conjecture,
( epred39_0
| epred25_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_359,c_0_377]) ).
cnf(c_0_687,negated_conjecture,
( epred38_0
| epred34_0
| epred26_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_353]),c_0_583]) ).
cnf(c_0_688,negated_conjecture,
( epred37_0
| epred34_0
| epred21_0
| epred1_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_584,c_0_474]) ).
cnf(c_0_689,negated_conjecture,
( epred34_0
| epred21_0
| epred10_0
| hskp4
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_382,c_0_537]) ).
cnf(c_0_690,negated_conjecture,
( epred40_0
| epred25_0
| epred11_0
| hskp17 ),
inference(spm,[status(thm)],[c_0_544,c_0_585]) ).
cnf(c_0_691,negated_conjecture,
( epred40_0
| epred34_0
| epred25_0
| epred11_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_586,c_0_437]) ).
cnf(c_0_692,negated_conjecture,
( epred40_0
| epred34_0
| epred26_0
| epred11_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_587,c_0_353]) ).
cnf(c_0_693,negated_conjecture,
( epred44_0
| epred29_0
| epred27_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_694,negated_conjecture,
( epred27_0
| epred25_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_592]),c_0_593]) ).
cnf(c_0_695,negated_conjecture,
( epred28_0
| epred27_0
| epred25_0
| hskp7
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_594,c_0_398]) ).
cnf(c_0_696,negated_conjecture,
( epred47_0
| epred44_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_496]) ).
cnf(c_0_697,negated_conjecture,
( hskp19
| hskp8
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_698,negated_conjecture,
( epred21_0
| hskp28
| hskp16
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_193,c_0_597]) ).
cnf(c_0_699,negated_conjecture,
( hskp24
| hskp2
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_700,negated_conjecture,
( epred38_0
| epred26_0
| epred16_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_599,c_0_600]) ).
cnf(c_0_701,negated_conjecture,
( hskp17
| hskp7
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_35]),c_0_34]),c_0_33]) ).
cnf(c_0_702,negated_conjecture,
( epred39_0
| hskp17
| hskp7
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_601,c_0_560]) ).
cnf(c_0_703,negated_conjecture,
( epred44_0
| epred29_0
| ~ epred47_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_602,c_0_603]) ).
cnf(c_0_704,negated_conjecture,
( hskp15
| hskp9
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_297]),c_0_298]),c_0_299]) ).
cnf(c_0_705,negated_conjecture,
( hskp25
| hskp23
| hskp17
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_237]),c_0_606]) ).
cnf(c_0_706,negated_conjecture,
( epred47_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_608]),c_0_609]) ).
cnf(c_0_707,negated_conjecture,
( epred4_0
| hskp17
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_150]),c_0_176]) ).
cnf(c_0_708,negated_conjecture,
( epred44_0
| epred29_0
| epred21_0
| hskp7 ),
inference(spm,[status(thm)],[c_0_110,c_0_611]) ).
cnf(c_0_709,negated_conjecture,
( epred29_0
| epred25_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_607,c_0_612]) ).
cnf(c_0_710,negated_conjecture,
( epred33_0
| epred2_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_422,c_0_457]) ).
cnf(c_0_711,negated_conjecture,
( epred28_0
| epred21_0
| hskp7
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_447,c_0_613]) ).
cnf(c_0_712,negated_conjecture,
( epred28_0
| epred18_0
| hskp7
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_614,c_0_434]) ).
cnf(c_0_713,negated_conjecture,
( epred45_0
| epred25_0
| epred20_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_323,c_0_615]) ).
cnf(c_0_714,negated_conjecture,
( epred25_0
| epred20_0
| epred2_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_317,c_0_615]) ).
cnf(c_0_715,negated_conjecture,
( epred46_0
| epred25_0
| epred20_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_234,c_0_615]) ).
cnf(c_0_716,negated_conjecture,
( epred20_0
| hskp10
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_616]),c_0_617]),c_0_618]) ).
cnf(c_0_717,negated_conjecture,
( epred40_0
| epred27_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_248,c_0_619]) ).
cnf(c_0_718,negated_conjecture,
( epred42_0
| epred27_0
| epred21_0
| epred15_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_550,c_0_620]) ).
cnf(c_0_719,negated_conjecture,
( epred9_0
| hskp2
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_97]),c_0_96]),c_0_142]) ).
cnf(c_0_720,negated_conjecture,
( epred41_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_287]),c_0_72]),c_0_74]) ).
cnf(c_0_721,negated_conjecture,
( epred36_0
| hskp24
| hskp17 ),
inference(spm,[status(thm)],[c_0_251,c_0_579]) ).
cnf(c_0_722,negated_conjecture,
( epred27_0
| epred21_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_621,c_0_305]) ).
cnf(c_0_723,negated_conjecture,
( epred27_0
| epred2_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_622,c_0_623]) ).
cnf(c_0_724,negated_conjecture,
( epred25_0
| epred6_0
| hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_579]),c_0_412]) ).
cnf(c_0_725,negated_conjecture,
( epred41_0
| epred29_0
| ~ epred44_0
| ~ epred25_0 ),
inference(spm,[status(thm)],[c_0_624,c_0_625]) ).
cnf(c_0_726,negated_conjecture,
( epred10_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_727,negated_conjecture,
( ~ epred47_0
| ~ epred29_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_626,c_0_10]),c_0_7]),c_0_48]) ).
cnf(c_0_728,negated_conjecture,
( ~ epred42_0
| ~ epred41_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_627,c_0_137]),c_0_206]),c_0_13]) ).
cnf(c_0_729,negated_conjecture,
( ~ epred39_0
| ~ epred38_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_628,c_0_214]),c_0_220]),c_0_204]) ).
cnf(c_0_730,negated_conjecture,
( ~ epred34_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_629,c_0_132]),c_0_44]) ).
cnf(c_0_731,negated_conjecture,
( ~ epred33_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_630,c_0_213]),c_0_44]) ).
cnf(c_0_732,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_631,c_0_212]),c_0_48]) ).
cnf(c_0_733,negated_conjecture,
( ~ epred29_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_632,c_0_264]),c_0_48]) ).
cnf(c_0_734,negated_conjecture,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_633,c_0_199]),c_0_44]) ).
cnf(c_0_735,negated_conjecture,
( ~ epred21_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_634,c_0_343]),c_0_47]) ).
cnf(c_0_736,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_635,c_0_430]),c_0_418]) ).
cnf(c_0_737,negated_conjecture,
( ~ epred16_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_636,c_0_300]),c_0_107]) ).
cnf(c_0_738,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_637,c_0_301]),c_0_31]) ).
cnf(c_0_739,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_638,c_0_203]),c_0_178]) ).
cnf(c_0_740,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_373,c_0_681,c_0_682,c_0_683,c_0_427,c_0_575,c_0_684,c_0_685,c_0_580,c_0_686,c_0_377,c_0_687,c_0_688,c_0_689,c_0_690,c_0_546,c_0_691,c_0_692,c_0_693,c_0_223,c_0_139,c_0_694,c_0_695,c_0_696,c_0_490,c_0_164,c_0_697,c_0_698,c_0_105,c_0_699,c_0_700,c_0_384,c_0_382,c_0_586,c_0_363,c_0_701,c_0_450,c_0_702,c_0_703,c_0_704,c_0_705,c_0_706,c_0_707,c_0_602,c_0_708,c_0_709,c_0_612,c_0_409,c_0_402,c_0_327,c_0_529,c_0_479,c_0_710,c_0_445,c_0_242,c_0_711,c_0_338,c_0_594,c_0_712,c_0_424,c_0_713,c_0_353,c_0_110,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_387,c_0_719,c_0_550,c_0_267,c_0_720,c_0_383,c_0_721,c_0_163,c_0_722,c_0_723,c_0_250,c_0_437,c_0_77,c_0_724,c_0_725,c_0_400,c_0_231,c_0_147,c_0_492,c_0_726,c_0_412,c_0_138,c_0_292,c_0_106,c_0_727,c_0_495,c_0_590,c_0_624,c_0_728,c_0_729,c_0_497,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_595,c_0_735,c_0_736,c_0_737,c_0_321,c_0_738,c_0_607,c_0_415,c_0_739,c_0_588,c_0_378,c_0_380,c_0_283,c_0_282,c_0_210,c_0_155,c_0_55,c_0_63,c_0_65,c_0_17,c_0_14,c_0_278,c_0_280,c_0_142,c_0_96,c_0_312,c_0_311,c_0_33,c_0_153,c_0_158,c_0_54,c_0_35,c_0_157,c_0_208,c_0_154,c_0_16,c_0_34,c_0_579,c_0_326,c_0_148,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 17:31:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 4.59/4.66 % Version : CSE_E---1.5
% 4.59/4.66 % Problem : theBenchmark.p
% 4.59/4.66 % Proof found
% 4.59/4.66 % SZS status Theorem for theBenchmark.p
% 4.59/4.66 % SZS output start Proof
% See solution above
% 4.63/4.69 % Total time : 4.049000 s
% 4.63/4.69 % SZS output end Proof
% 4.63/4.69 % Total time : 4.056000 s
%------------------------------------------------------------------------------