TSTP Solution File: SYN455+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN455+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:52:00 EDT 2023
% Result : Theorem 1.61s 1.68s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 142
% Syntax : Number of formulae : 545 ( 2 unt; 110 typ; 0 def)
% Number of atoms : 3627 ( 0 equ)
% Maximal formula atoms : 696 ( 8 avg)
% Number of connectives : 4752 (1560 ~;2432 |; 549 &)
% ( 31 <=>; 180 =>; 0 <=; 0 <~>)
% Maximal formula depth : 277 ( 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 : 80 ( 79 usr; 76 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 460 ( 0 sgn; 301 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp0: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
a901: $i ).
tff(decl_25,type,
c0_1: $i > $o ).
tff(decl_26,type,
c1_1: $i > $o ).
tff(decl_27,type,
c3_1: $i > $o ).
tff(decl_28,type,
hskp1: $o ).
tff(decl_29,type,
a902: $i ).
tff(decl_30,type,
c2_1: $i > $o ).
tff(decl_31,type,
hskp2: $o ).
tff(decl_32,type,
a903: $i ).
tff(decl_33,type,
hskp3: $o ).
tff(decl_34,type,
a904: $i ).
tff(decl_35,type,
hskp4: $o ).
tff(decl_36,type,
a905: $i ).
tff(decl_37,type,
hskp5: $o ).
tff(decl_38,type,
a906: $i ).
tff(decl_39,type,
hskp6: $o ).
tff(decl_40,type,
a907: $i ).
tff(decl_41,type,
hskp7: $o ).
tff(decl_42,type,
a908: $i ).
tff(decl_43,type,
hskp8: $o ).
tff(decl_44,type,
a909: $i ).
tff(decl_45,type,
hskp9: $o ).
tff(decl_46,type,
a910: $i ).
tff(decl_47,type,
hskp10: $o ).
tff(decl_48,type,
a912: $i ).
tff(decl_49,type,
hskp11: $o ).
tff(decl_50,type,
a914: $i ).
tff(decl_51,type,
hskp12: $o ).
tff(decl_52,type,
a917: $i ).
tff(decl_53,type,
hskp13: $o ).
tff(decl_54,type,
a921: $i ).
tff(decl_55,type,
hskp14: $o ).
tff(decl_56,type,
a923: $i ).
tff(decl_57,type,
hskp15: $o ).
tff(decl_58,type,
a924: $i ).
tff(decl_59,type,
hskp16: $o ).
tff(decl_60,type,
a926: $i ).
tff(decl_61,type,
hskp17: $o ).
tff(decl_62,type,
a936: $i ).
tff(decl_63,type,
hskp18: $o ).
tff(decl_64,type,
a937: $i ).
tff(decl_65,type,
hskp19: $o ).
tff(decl_66,type,
a938: $i ).
tff(decl_67,type,
hskp20: $o ).
tff(decl_68,type,
a939: $i ).
tff(decl_69,type,
hskp21: $o ).
tff(decl_70,type,
a946: $i ).
tff(decl_71,type,
hskp22: $o ).
tff(decl_72,type,
a949: $i ).
tff(decl_73,type,
hskp23: $o ).
tff(decl_74,type,
a954: $i ).
tff(decl_75,type,
hskp24: $o ).
tff(decl_76,type,
a959: $i ).
tff(decl_77,type,
hskp25: $o ).
tff(decl_78,type,
a960: $i ).
tff(decl_79,type,
hskp26: $o ).
tff(decl_80,type,
a979: $i ).
tff(decl_81,type,
hskp27: $o ).
tff(decl_82,type,
a900: $i ).
tff(decl_83,type,
hskp28: $o ).
tff(decl_84,type,
a916: $i ).
tff(decl_85,type,
hskp29: $o ).
tff(decl_86,type,
a933: $i ).
tff(decl_87,type,
hskp30: $o ).
tff(decl_88,type,
a942: $i ).
tff(decl_89,type,
epred1_0: $o ).
tff(decl_90,type,
epred2_0: $o ).
tff(decl_91,type,
epred3_0: $o ).
tff(decl_92,type,
epred4_0: $o ).
tff(decl_93,type,
epred5_0: $o ).
tff(decl_94,type,
epred6_0: $o ).
tff(decl_95,type,
epred7_0: $o ).
tff(decl_96,type,
epred8_0: $o ).
tff(decl_97,type,
epred9_0: $o ).
tff(decl_98,type,
epred10_0: $o ).
tff(decl_99,type,
epred11_0: $o ).
tff(decl_100,type,
epred12_0: $o ).
tff(decl_101,type,
epred13_0: $o ).
tff(decl_102,type,
epred14_0: $o ).
tff(decl_103,type,
epred15_0: $o ).
tff(decl_104,type,
epred16_0: $o ).
tff(decl_105,type,
epred17_0: $o ).
tff(decl_106,type,
epred18_0: $o ).
tff(decl_107,type,
epred19_0: $o ).
tff(decl_108,type,
epred20_0: $o ).
tff(decl_109,type,
epred21_0: $o ).
tff(decl_110,type,
epred22_0: $o ).
tff(decl_111,type,
epred23_0: $o ).
tff(decl_112,type,
epred24_0: $o ).
tff(decl_113,type,
epred25_0: $o ).
tff(decl_114,type,
epred26_0: $o ).
tff(decl_115,type,
epred27_0: $o ).
tff(decl_116,type,
epred28_0: $o ).
tff(decl_117,type,
epred29_0: $o ).
tff(decl_118,type,
epred30_0: $o ).
tff(decl_119,type,
epred31_0: $o ).
tff(decl_120,type,
epred32_0: $o ).
tff(decl_121,type,
epred33_0: $o ).
tff(decl_122,type,
epred34_0: $o ).
tff(decl_123,type,
epred35_0: $o ).
tff(decl_124,type,
epred36_0: $o ).
tff(decl_125,type,
epred37_0: $o ).
tff(decl_126,type,
epred38_0: $o ).
tff(decl_127,type,
epred39_0: $o ).
tff(decl_128,type,
epred40_0: $o ).
tff(decl_129,type,
epred41_0: $o ).
tff(decl_130,type,
epred42_0: $o ).
tff(decl_131,type,
epred43_0: $o ).
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c3_1(X6)
| ~ c0_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| ~ c1_1(X8)
| ~ c3_1(X8) ) )
| hskp27 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c0_1(X10)
| ~ c3_1(X10) ) )
| hskp0 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ~ c0_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c2_1(X14) ) )
| hskp1
| hskp2 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c2_1(X17)
| c3_1(X17)
| ~ c0_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| ~ c1_1(X19)
| ~ c2_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c2_1(X20)
| c3_1(X20)
| ~ c0_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c2_1(X21) ) )
| hskp3
| hskp4 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c1_1(X22)
| ~ c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c2_1(X23)
| ~ c3_1(X23) ) )
| hskp5 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| hskp6
| hskp7 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| ~ c1_1(X26)
| ~ c3_1(X26) ) )
| hskp8 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c1_1(X28)
| c2_1(X28)
| ~ c0_1(X28) ) )
| hskp9 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| c3_1(X29) ) )
| hskp27
| hskp10 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c1_1(X30) ) )
| hskp6
| hskp11 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c3_1(X31)
| ~ c2_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| hskp5 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp28
| hskp12 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| hskp2
| hskp0 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| ~ c1_1(X35)
| ~ c2_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( c1_1(X36)
| c3_1(X36)
| ~ c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) ) )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp3
| hskp13 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39) ) )
| hskp7
| hskp14 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp15 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp28
| hskp16 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| hskp7
| hskp13 )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c2_1(X44)
| c3_1(X44) ) )
| hskp11
| hskp27 )
& ( ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| c2_1(X45)
| c3_1(X45) ) )
| hskp27
| hskp9 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c0_1(X47)
| ~ c3_1(X47) ) )
| hskp29 )
& ( ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c0_1(X49)
| ~ c1_1(X49)
| ~ c3_1(X49) ) )
| hskp15 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp12
| hskp17 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp18
| hskp19 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c3_1(X52) ) )
| hskp20
| hskp18 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c3_1(X53)
| ~ c0_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54) ) )
| hskp9 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c3_1(X55)
| ~ c0_1(X55) ) )
| hskp30
| hskp7 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c0_1(X56)
| ~ c2_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| c3_1(X57)
| ~ c1_1(X57) ) )
| hskp27 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp0 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c2_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) )
| hskp21 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| hskp1 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| ~ c0_1(X64)
| ~ c3_1(X64) ) )
| hskp28 )
& ( ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| c3_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c3_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68) ) )
| hskp0 )
& ( ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp6
| hskp14 )
& ( ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| c3_1(X70)
| ~ c0_1(X70) ) )
| hskp1
| hskp23 )
& ( ! [X71] :
( ndr1_0
=> ( c2_1(X71)
| c3_1(X71)
| ~ c1_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| ~ c1_1(X72)
| ~ c3_1(X72) ) ) )
& ( ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c3_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| ~ c1_1(X75)
| ~ c3_1(X75) ) ) )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) )
| hskp16 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c1_1(X78) ) )
| hskp30
| hskp9 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c1_1(X79) ) )
| hskp30
| hskp24 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81) ) )
| hskp25 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82) ) )
| hskp1
| hskp10 )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c0_1(X83)
| ~ c3_1(X83) ) )
| hskp5
| hskp7 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp25
| hskp21 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c1_1(X85)
| ~ c3_1(X85) ) )
| hskp10
| hskp21 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c1_1(X86) ) )
| hskp27
| hskp13 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| hskp30
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c1_1(X88)
| ~ c2_1(X88) ) )
| hskp20
| hskp8 )
& ( ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp23
| hskp15 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c1_1(X90)
| ~ c2_1(X90)
| ~ c3_1(X90) ) )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c3_1(X6)
| ~ c0_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| ~ c1_1(X8)
| ~ c3_1(X8) ) )
| hskp27 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c0_1(X10)
| ~ c3_1(X10) ) )
| hskp0 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ~ c0_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c2_1(X14) ) )
| hskp1
| hskp2 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c2_1(X17)
| c3_1(X17)
| ~ c0_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| ~ c1_1(X19)
| ~ c2_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c2_1(X20)
| c3_1(X20)
| ~ c0_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c2_1(X21) ) )
| hskp3
| hskp4 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c1_1(X22)
| ~ c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c2_1(X23)
| ~ c3_1(X23) ) )
| hskp5 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| hskp6
| hskp7 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| ~ c1_1(X26)
| ~ c3_1(X26) ) )
| hskp8 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c1_1(X28)
| c2_1(X28)
| ~ c0_1(X28) ) )
| hskp9 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| c3_1(X29) ) )
| hskp27
| hskp10 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c1_1(X30) ) )
| hskp6
| hskp11 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c3_1(X31)
| ~ c2_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| hskp5 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp28
| hskp12 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| hskp2
| hskp0 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| ~ c1_1(X35)
| ~ c2_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( c1_1(X36)
| c3_1(X36)
| ~ c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) ) )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp3
| hskp13 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39) ) )
| hskp7
| hskp14 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp15 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp28
| hskp16 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| hskp7
| hskp13 )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c2_1(X44)
| c3_1(X44) ) )
| hskp11
| hskp27 )
& ( ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| c2_1(X45)
| c3_1(X45) ) )
| hskp27
| hskp9 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c0_1(X47)
| ~ c3_1(X47) ) )
| hskp29 )
& ( ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c0_1(X49)
| ~ c1_1(X49)
| ~ c3_1(X49) ) )
| hskp15 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp12
| hskp17 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp18
| hskp19 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c3_1(X52) ) )
| hskp20
| hskp18 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c3_1(X53)
| ~ c0_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54) ) )
| hskp9 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c3_1(X55)
| ~ c0_1(X55) ) )
| hskp30
| hskp7 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c0_1(X56)
| ~ c2_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| c3_1(X57)
| ~ c1_1(X57) ) )
| hskp27 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp0 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c2_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) )
| hskp21 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| hskp1 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| ~ c0_1(X64)
| ~ c3_1(X64) ) )
| hskp28 )
& ( ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| c3_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c3_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68) ) )
| hskp0 )
& ( ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp6
| hskp14 )
& ( ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| c3_1(X70)
| ~ c0_1(X70) ) )
| hskp1
| hskp23 )
& ( ! [X71] :
( ndr1_0
=> ( c2_1(X71)
| c3_1(X71)
| ~ c1_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| ~ c1_1(X72)
| ~ c3_1(X72) ) ) )
& ( ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c3_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| ~ c1_1(X75)
| ~ c3_1(X75) ) ) )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) )
| hskp16 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c1_1(X78) ) )
| hskp30
| hskp9 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c1_1(X79) ) )
| hskp30
| hskp24 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81) ) )
| hskp25 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82) ) )
| hskp1
| hskp10 )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c0_1(X83)
| ~ c3_1(X83) ) )
| hskp5
| hskp7 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp25
| hskp21 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c1_1(X85)
| ~ c3_1(X85) ) )
| hskp10
| hskp21 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c1_1(X86) ) )
| hskp27
| hskp13 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| hskp30
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c1_1(X88)
| ~ c2_1(X88) ) )
| hskp20
| hskp8 )
& ( ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp23
| hskp15 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c1_1(X90)
| ~ c2_1(X90)
| ~ c3_1(X90) ) )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
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 )
& ( ~ c0_1(a901)
| ~ hskp0 )
& ( ~ c1_1(a901)
| ~ hskp0 )
& ( ~ c3_1(a901)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c0_1(a902)
| ~ hskp1 )
& ( c2_1(a902)
| ~ hskp1 )
& ( ~ c1_1(a902)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c0_1(a903)
| ~ hskp2 )
& ( ~ c2_1(a903)
| ~ hskp2 )
& ( ~ c3_1(a903)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c0_1(a904)
| ~ hskp3 )
& ( ~ c1_1(a904)
| ~ hskp3 )
& ( ~ c2_1(a904)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( c3_1(a905)
| ~ hskp4 )
& ( ~ c0_1(a905)
| ~ hskp4 )
& ( ~ c2_1(a905)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c0_1(a906)
| ~ hskp5 )
& ( c2_1(a906)
| ~ hskp5 )
& ( ~ c3_1(a906)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a907)
| ~ hskp6 )
& ( c1_1(a907)
| ~ hskp6 )
& ( ~ c2_1(a907)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c1_1(a908)
| ~ hskp7 )
& ( ~ c2_1(a908)
| ~ hskp7 )
& ( ~ c3_1(a908)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c1_1(a909)
| ~ hskp8 )
& ( ~ c0_1(a909)
| ~ hskp8 )
& ( ~ c3_1(a909)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c2_1(a910)
| ~ hskp9 )
& ( ~ c1_1(a910)
| ~ hskp9 )
& ( ~ c3_1(a910)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( c1_1(a912)
| ~ hskp10 )
& ( c2_1(a912)
| ~ hskp10 )
& ( ~ c0_1(a912)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c0_1(a914)
| ~ hskp11 )
& ( c3_1(a914)
| ~ hskp11 )
& ( ~ c2_1(a914)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c1_1(a917)
| ~ hskp12 )
& ( c3_1(a917)
| ~ hskp12 )
& ( ~ c2_1(a917)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c2_1(a921)
| ~ hskp13 )
& ( ~ c0_1(a921)
| ~ hskp13 )
& ( ~ c3_1(a921)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c3_1(a923)
| ~ hskp14 )
& ( ~ c0_1(a923)
| ~ hskp14 )
& ( ~ c1_1(a923)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c2_1(a924)
| ~ hskp15 )
& ( ~ c0_1(a924)
| ~ hskp15 )
& ( ~ c1_1(a924)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c1_1(a926)
| ~ hskp16 )
& ( c2_1(a926)
| ~ hskp16 )
& ( ~ c3_1(a926)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( ~ c1_1(a936)
| ~ hskp17 )
& ( ~ c2_1(a936)
| ~ hskp17 )
& ( ~ c3_1(a936)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c1_1(a937)
| ~ hskp18 )
& ( ~ c0_1(a937)
| ~ hskp18 )
& ( ~ c2_1(a937)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( c2_1(a938)
| ~ hskp19 )
& ( c3_1(a938)
| ~ hskp19 )
& ( ~ c0_1(a938)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c0_1(a939)
| ~ hskp20 )
& ( ~ c1_1(a939)
| ~ hskp20 )
& ( ~ c3_1(a939)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( ~ c0_1(a946)
| ~ hskp21 )
& ( ~ c2_1(a946)
| ~ hskp21 )
& ( ~ c3_1(a946)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( c2_1(a949)
| ~ hskp22 )
& ( c3_1(a949)
| ~ hskp22 )
& ( ~ c1_1(a949)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c1_1(a954)
| ~ hskp23 )
& ( c3_1(a954)
| ~ hskp23 )
& ( ~ c0_1(a954)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( ~ c0_1(a959)
| ~ hskp24 )
& ( ~ c1_1(a959)
| ~ hskp24 )
& ( ~ c2_1(a959)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( c0_1(a960)
| ~ hskp25 )
& ( c3_1(a960)
| ~ hskp25 )
& ( ~ c1_1(a960)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c0_1(a979)
| ~ hskp26 )
& ( c1_1(a979)
| ~ hskp26 )
& ( ~ c3_1(a979)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c1_1(a900)
| ~ hskp27 )
& ( c2_1(a900)
| ~ hskp27 )
& ( c3_1(a900)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c0_1(a916)
| ~ hskp28 )
& ( c1_1(a916)
| ~ hskp28 )
& ( c3_1(a916)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c0_1(a933)
| ~ hskp29 )
& ( c2_1(a933)
| ~ hskp29 )
& ( c3_1(a933)
| ~ hskp29 )
& ( ndr1_0
| ~ hskp30 )
& ( c0_1(a942)
| ~ hskp30 )
& ( c1_1(a942)
| ~ hskp30 )
& ( c2_1(a942)
| ~ hskp30 )
& ( ~ ndr1_0
| c0_1(X91)
| c1_1(X91)
| c2_1(X91)
| ~ ndr1_0
| c0_1(X92)
| c2_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0
| ~ c0_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93) )
& ( ~ ndr1_0
| c0_1(X94)
| c1_1(X94)
| c2_1(X94)
| ~ ndr1_0
| c0_1(X95)
| c3_1(X95)
| ~ c2_1(X95)
| ~ ndr1_0
| c1_1(X96)
| c3_1(X96)
| ~ c0_1(X96) )
& ( ~ ndr1_0
| c0_1(X97)
| c1_1(X97)
| c2_1(X97)
| ~ ndr1_0
| c0_1(X98)
| ~ c1_1(X98)
| ~ c3_1(X98)
| hskp27 )
& ( ~ ndr1_0
| c0_1(X99)
| c1_1(X99)
| c2_1(X99)
| ~ ndr1_0
| c2_1(X100)
| ~ c0_1(X100)
| ~ c3_1(X100)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X101)
| c1_1(X101)
| c2_1(X101)
| ~ ndr1_0
| c3_1(X102)
| ~ c0_1(X102)
| ~ c2_1(X102)
| ~ ndr1_0
| c3_1(X103)
| ~ c1_1(X103)
| ~ c2_1(X103) )
& ( ~ ndr1_0
| c0_1(X104)
| c1_1(X104)
| c2_1(X104)
| hskp1
| hskp2 )
& ( ~ ndr1_0
| c0_1(X105)
| c1_1(X105)
| c3_1(X105)
| ~ ndr1_0
| c0_1(X106)
| c2_1(X106)
| c3_1(X106)
| ~ ndr1_0
| c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107) )
& ( ~ ndr1_0
| c0_1(X108)
| c1_1(X108)
| c3_1(X108)
| ~ ndr1_0
| c0_1(X109)
| ~ c1_1(X109)
| ~ c2_1(X109)
| ~ ndr1_0
| c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110) )
& ( ~ ndr1_0
| c0_1(X111)
| c1_1(X111)
| ~ c2_1(X111)
| hskp3
| hskp4 )
& ( ~ ndr1_0
| c0_1(X112)
| c1_1(X112)
| ~ c3_1(X112)
| ~ ndr1_0
| ~ c1_1(X113)
| ~ c2_1(X113)
| ~ c3_1(X113)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X114)
| c1_1(X114)
| ~ c3_1(X114)
| hskp6
| hskp7 )
& ( ~ ndr1_0
| c0_1(X115)
| c2_1(X115)
| c3_1(X115)
| ~ ndr1_0
| c0_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X117)
| c2_1(X117)
| c3_1(X117)
| ~ ndr1_0
| c1_1(X118)
| c2_1(X118)
| ~ c0_1(X118)
| hskp9 )
& ( ~ ndr1_0
| c0_1(X119)
| c2_1(X119)
| c3_1(X119)
| hskp27
| hskp10 )
& ( ~ ndr1_0
| c0_1(X120)
| c3_1(X120)
| ~ c1_1(X120)
| hskp6
| hskp11 )
& ( ~ ndr1_0
| c0_1(X121)
| c3_1(X121)
| ~ c2_1(X121)
| ~ ndr1_0
| c0_1(X122)
| ~ c2_1(X122)
| ~ c3_1(X122)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X123)
| c3_1(X123)
| ~ c2_1(X123)
| hskp28
| hskp12 )
& ( ~ ndr1_0
| c0_1(X124)
| c3_1(X124)
| ~ c2_1(X124)
| hskp2
| hskp0 )
& ( ~ ndr1_0
| c0_1(X125)
| ~ c1_1(X125)
| ~ c2_1(X125)
| ~ ndr1_0
| c1_1(X126)
| c3_1(X126)
| ~ c2_1(X126)
| ~ ndr1_0
| c2_1(X127)
| ~ c1_1(X127)
| ~ c3_1(X127) )
& ( ~ ndr1_0
| c0_1(X128)
| ~ c1_1(X128)
| ~ c2_1(X128)
| hskp3
| hskp13 )
& ( ~ ndr1_0
| c0_1(X129)
| ~ c1_1(X129)
| ~ c2_1(X129)
| hskp7
| hskp14 )
& ( ~ ndr1_0
| c0_1(X130)
| ~ c2_1(X130)
| ~ c3_1(X130)
| ~ ndr1_0
| ~ c1_1(X131)
| ~ c2_1(X131)
| ~ c3_1(X131)
| hskp15 )
& ( ~ ndr1_0
| c0_1(X132)
| ~ c2_1(X132)
| ~ c3_1(X132)
| hskp28
| hskp16 )
& ( ~ ndr1_0
| c0_1(X133)
| ~ c2_1(X133)
| ~ c3_1(X133)
| hskp7
| hskp13 )
& ( ~ ndr1_0
| c1_1(X134)
| c2_1(X134)
| c3_1(X134)
| hskp11
| hskp27 )
& ( ~ ndr1_0
| c1_1(X135)
| c2_1(X135)
| c3_1(X135)
| hskp27
| hskp9 )
& ( ~ ndr1_0
| c1_1(X136)
| c2_1(X136)
| ~ c0_1(X136)
| ~ ndr1_0
| c1_1(X137)
| ~ c0_1(X137)
| ~ c3_1(X137)
| hskp29 )
& ( ~ ndr1_0
| c1_1(X138)
| c2_1(X138)
| ~ c0_1(X138)
| ~ ndr1_0
| ~ c0_1(X139)
| ~ c1_1(X139)
| ~ c3_1(X139)
| hskp15 )
& ( ~ ndr1_0
| c1_1(X140)
| c2_1(X140)
| ~ c0_1(X140)
| hskp12
| hskp17 )
& ( ~ ndr1_0
| c1_1(X141)
| c2_1(X141)
| ~ c0_1(X141)
| hskp18
| hskp19 )
& ( ~ ndr1_0
| c1_1(X142)
| c2_1(X142)
| ~ c3_1(X142)
| hskp20
| hskp18 )
& ( ~ ndr1_0
| c1_1(X143)
| c3_1(X143)
| ~ c0_1(X143)
| ~ ndr1_0
| ~ c0_1(X144)
| ~ c2_1(X144)
| ~ c3_1(X144)
| hskp9 )
& ( ~ ndr1_0
| c1_1(X145)
| c3_1(X145)
| ~ c0_1(X145)
| hskp30
| hskp7 )
& ( ~ ndr1_0
| c1_1(X146)
| ~ c0_1(X146)
| ~ c2_1(X146)
| ~ ndr1_0
| c2_1(X147)
| c3_1(X147)
| ~ c1_1(X147)
| hskp27 )
& ( ~ ndr1_0
| c1_1(X148)
| ~ c0_1(X148)
| ~ c2_1(X148)
| ~ ndr1_0
| c2_1(X149)
| ~ c0_1(X149)
| ~ c1_1(X149)
| hskp0 )
& ( ~ ndr1_0
| c1_1(X150)
| ~ c0_1(X150)
| ~ c3_1(X150)
| ~ ndr1_0
| c2_1(X151)
| c3_1(X151)
| ~ c1_1(X151)
| hskp21 )
& ( ~ ndr1_0
| c1_1(X152)
| ~ c0_1(X152)
| ~ c3_1(X152)
| ~ ndr1_0
| ~ c0_1(X153)
| ~ c1_1(X153)
| ~ c3_1(X153)
| hskp1 )
& ( ~ ndr1_0
| c1_1(X154)
| ~ c0_1(X154)
| ~ c3_1(X154)
| hskp28 )
& ( ~ ndr1_0
| c2_1(X155)
| c3_1(X155)
| ~ c0_1(X155)
| ~ ndr1_0
| c2_1(X156)
| ~ c1_1(X156)
| ~ c3_1(X156)
| hskp22 )
& ( ~ ndr1_0
| c2_1(X157)
| c3_1(X157)
| ~ c0_1(X157)
| ~ ndr1_0
| c3_1(X158)
| ~ c0_1(X158)
| ~ c1_1(X158)
| hskp0 )
& ( ~ ndr1_0
| c2_1(X159)
| c3_1(X159)
| ~ c0_1(X159)
| hskp6
| hskp14 )
& ( ~ ndr1_0
| c2_1(X160)
| c3_1(X160)
| ~ c0_1(X160)
| hskp1
| hskp23 )
& ( ~ ndr1_0
| c2_1(X161)
| c3_1(X161)
| ~ c1_1(X161)
| ~ ndr1_0
| c2_1(X162)
| ~ c1_1(X162)
| ~ c3_1(X162) )
& ( ~ ndr1_0
| c2_1(X163)
| c3_1(X163)
| ~ c1_1(X163)
| ~ ndr1_0
| c3_1(X164)
| ~ c0_1(X164)
| ~ c2_1(X164)
| ~ ndr1_0
| ~ c0_1(X165)
| ~ c1_1(X165)
| ~ c3_1(X165) )
& ( ~ ndr1_0
| c2_1(X166)
| c3_1(X166)
| ~ c1_1(X166)
| ~ ndr1_0
| ~ c1_1(X167)
| ~ c2_1(X167)
| ~ c3_1(X167)
| hskp16 )
& ( ~ ndr1_0
| c2_1(X168)
| c3_1(X168)
| ~ c1_1(X168)
| hskp30
| hskp9 )
& ( ~ ndr1_0
| c2_1(X169)
| ~ c0_1(X169)
| ~ c1_1(X169)
| hskp30
| hskp24 )
& ( ~ ndr1_0
| c2_1(X170)
| ~ c0_1(X170)
| ~ c3_1(X170)
| ~ ndr1_0
| c3_1(X171)
| ~ c0_1(X171)
| ~ c1_1(X171)
| hskp25 )
& ( ~ ndr1_0
| c2_1(X172)
| ~ c0_1(X172)
| ~ c3_1(X172)
| hskp1
| hskp10 )
& ( ~ ndr1_0
| c2_1(X173)
| ~ c0_1(X173)
| ~ c3_1(X173)
| hskp5
| hskp7 )
& ( ~ ndr1_0
| c2_1(X174)
| ~ c1_1(X174)
| ~ c3_1(X174)
| hskp25
| hskp21 )
& ( ~ ndr1_0
| c2_1(X175)
| ~ c1_1(X175)
| ~ c3_1(X175)
| hskp10
| hskp21 )
& ( ~ ndr1_0
| c3_1(X176)
| ~ c0_1(X176)
| ~ c1_1(X176)
| hskp27
| hskp13 )
& ( ~ ndr1_0
| c3_1(X177)
| ~ c0_1(X177)
| ~ c2_1(X177)
| hskp30
| hskp17 )
& ( ~ ndr1_0
| c3_1(X178)
| ~ c1_1(X178)
| ~ c2_1(X178)
| hskp20
| hskp8 )
& ( ~ ndr1_0
| ~ c0_1(X179)
| ~ c2_1(X179)
| ~ c3_1(X179)
| hskp23
| hskp15 )
& ( ~ ndr1_0
| ~ c1_1(X180)
| ~ c2_1(X180)
| ~ c3_1(X180)
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
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
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp20
| hskp14
| hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ndr1_0
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( c3_1(X1)
| hskp27
| hskp13
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,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_9,plain,
( ~ epred35_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
( c0_1(X1)
| hskp28
| hskp16
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( c1_1(X1)
| hskp28
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( c2_1(X1)
| hskp25
| hskp21
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( hskp27
| hskp13
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
( c1_1(a926)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( ~ c3_1(a926)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( epred35_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( c2_1(a926)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( c2_1(a921)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( ~ c0_1(a921)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( ~ c3_1(a921)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( hskp28
| hskp16
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8])]) ).
cnf(c_0_22,negated_conjecture,
( c2_1(a912)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( ~ c0_1(a912)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_24,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_25,negated_conjecture,
( hskp28
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8])]) ).
cnf(c_0_26,negated_conjecture,
( c3_1(a960)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( c0_1(a960)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( ~ c1_1(a960)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( hskp25
| hskp21
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8])]) ).
cnf(c_0_30,negated_conjecture,
( c1_1(a917)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,negated_conjecture,
( c3_1(a917)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( ~ c2_1(a917)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_33,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_34,plain,
( ~ epred28_0
<=> ! [X1] :
( c2_1(X1)
| hskp25
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_35,plain,
( ~ epred11_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_36,negated_conjecture,
( hskp27
| hskp13
| ~ hskp16
| ~ c0_1(a926) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_37,negated_conjecture,
( epred35_0
| c0_1(a926)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).
cnf(c_0_38,negated_conjecture,
( epred35_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( hskp28
| hskp16
| ~ hskp10
| ~ c3_1(a912) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_40,negated_conjecture,
( epred35_0
| c3_1(a912)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp27
| hskp10
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( epred26_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_43,negated_conjecture,
( c1_1(a916)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( c0_1(a916)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( c3_1(a916)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( hskp28
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_47,negated_conjecture,
( hskp25
| hskp21
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_48,negated_conjecture,
( c2_1(X1)
| hskp10
| hskp21
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,negated_conjecture,
( epred22_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( c1_1(a912)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_51,plain,
( ~ epred8_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_52,negated_conjecture,
( epred28_0
| hskp25
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_8])]) ).
cnf(c_0_53,negated_conjecture,
( c3_1(a914)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( c0_1(a914)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
( ~ c2_1(a914)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( epred11_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_35]) ).
cnf(c_0_57,negated_conjecture,
( c1_1(a900)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,negated_conjecture,
( c3_1(a900)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_59,negated_conjecture,
( c2_1(a900)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( epred35_0
| hskp27
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_61,negated_conjecture,
( epred35_0
| hskp28
| hskp16
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_62,negated_conjecture,
( hskp27
| hskp10
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_8])]) ).
cnf(c_0_63,negated_conjecture,
( epred26_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_64,negated_conjecture,
( hskp28
| hskp21
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( hskp12
| hskp13
| hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,negated_conjecture,
( hskp21
| hskp10
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_8])]) ).
cnf(c_0_67,negated_conjecture,
( epred22_0
| ~ hskp10
| ~ c3_1(a912) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22]) ).
cnf(c_0_68,negated_conjecture,
( epred8_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_51]) ).
cnf(c_0_69,negated_conjecture,
( c0_1(X1)
| hskp7
| hskp13
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_70,negated_conjecture,
( epred28_0
| hskp25
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_71,negated_conjecture,
( hskp11
| hskp12
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_72,negated_conjecture,
( epred11_0
| ~ hskp16
| ~ c0_1(a926) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_14]),c_0_15]) ).
cnf(c_0_73,negated_conjecture,
( epred26_0
| ~ hskp27
| ~ c0_1(a900) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_57]),c_0_58]) ).
cnf(c_0_74,negated_conjecture,
( hskp28
| hskp16
| c0_1(a900)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_59]),c_0_58]) ).
cnf(c_0_75,negated_conjecture,
( epred35_0
| hskp28
| hskp27
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_76,negated_conjecture,
( ~ c3_1(a946)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_77,negated_conjecture,
( epred35_0
| hskp27
| hskp10
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_62]) ).
cnf(c_0_78,negated_conjecture,
( ~ c0_1(a946)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_79,negated_conjecture,
( epred26_0
| hskp21
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_80,negated_conjecture,
( epred35_0
| hskp21
| hskp12 ),
inference(spm,[status(thm)],[c_0_38,c_0_65]) ).
cnf(c_0_81,negated_conjecture,
( epred22_0
| ~ hskp28
| ~ c2_1(a916) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_45]) ).
cnf(c_0_82,negated_conjecture,
( hskp21
| hskp10
| c2_1(a916)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_45]) ).
cnf(c_0_83,negated_conjecture,
( epred35_0
| epred22_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_67,c_0_40]) ).
cnf(c_0_84,negated_conjecture,
( epred22_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_85,negated_conjecture,
( hskp23
| hskp15
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_86,negated_conjecture,
( epred8_0
| ~ hskp10
| ~ c3_1(a912) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_50]),c_0_23]) ).
cnf(c_0_87,negated_conjecture,
( hskp13
| hskp7
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_8])]) ).
fof(c_0_88,plain,
( ~ epred2_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_89,negated_conjecture,
( epred28_0
| hskp28
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_46,c_0_70]) ).
cnf(c_0_90,negated_conjecture,
( hskp12
| hskp11
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_8])]) ).
cnf(c_0_91,negated_conjecture,
( c2_1(X1)
| c3_1(X2)
| hskp25
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_92,negated_conjecture,
( epred35_0
| epred11_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_72,c_0_37]) ).
cnf(c_0_93,negated_conjecture,
( epred26_0
| hskp16
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_63]) ).
cnf(c_0_94,negated_conjecture,
( epred35_0
| epred26_0
| hskp27
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_63,c_0_75]) ).
cnf(c_0_95,negated_conjecture,
( epred35_0
| hskp27
| hskp10
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_96,negated_conjecture,
( epred35_0
| epred26_0
| hskp21 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_97,plain,
( ~ epred40_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_98,plain,
( ~ epred30_0
<=> ! [X1] :
( c0_1(X1)
| hskp15
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_99,negated_conjecture,
( c0_1(X1)
| hskp15
| ~ ndr1_0
| ~ c2_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_100,negated_conjecture,
( epred22_0
| hskp21
| hskp10
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_101,negated_conjecture,
( epred35_0
| epred22_0
| c3_1(X1)
| c0_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_84]) ).
cnf(c_0_102,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp28
| hskp12
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_103,negated_conjecture,
( c2_1(a924)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_104,negated_conjecture,
( ~ c0_1(a924)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_105,negated_conjecture,
( hskp23
| hskp15
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_8])]) ).
cnf(c_0_106,negated_conjecture,
( c1_1(a954)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_107,negated_conjecture,
( c3_1(a954)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_108,negated_conjecture,
( ~ c0_1(a954)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_109,negated_conjecture,
( epred35_0
| epred8_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_86,c_0_40]) ).
cnf(c_0_110,negated_conjecture,
( hskp21
| hskp10
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_30]),c_0_31]),c_0_32]) ).
fof(c_0_111,plain,
( ~ epred1_0
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_112,negated_conjecture,
( hskp13
| hskp7
| c0_1(a900)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_59]),c_0_58]) ).
cnf(c_0_113,negated_conjecture,
( epred2_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_88]) ).
cnf(c_0_114,negated_conjecture,
( epred28_0
| epred26_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_63,c_0_89]) ).
cnf(c_0_115,negated_conjecture,
( hskp12
| hskp11
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_116,negated_conjecture,
( hskp25
| c3_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_91]) ).
cnf(c_0_117,negated_conjecture,
( epred35_0
| epred26_0
| epred11_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_118,negated_conjecture,
( epred35_0
| epred26_0
| hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_119,negated_conjecture,
( epred40_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_97]) ).
fof(c_0_120,plain,
( ~ epred27_0
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| hskp16
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_121,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp16
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_122,negated_conjecture,
( epred30_0
| hskp15
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_98]),c_0_8])]) ).
cnf(c_0_123,negated_conjecture,
( hskp15
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_99]) ).
cnf(c_0_124,negated_conjecture,
( epred22_0
| hskp21
| hskp10
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_100,c_0_64]) ).
cnf(c_0_125,negated_conjecture,
( epred35_0
| epred22_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_101]),c_0_78]) ).
cnf(c_0_126,negated_conjecture,
( hskp28
| hskp12
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_8])]) ).
fof(c_0_127,plain,
( ~ epred15_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred41_0
<=> ! [X3] :
( c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_129,plain,
( ~ epred14_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| hskp21
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_130,negated_conjecture,
( c3_1(X1)
| hskp20
| hskp8
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_131,plain,
( ~ epred43_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_132,plain,
( ~ epred36_0
<=> ! [X3] :
( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( ~ epred42_0
<=> ! [X3] :
( c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_134,negated_conjecture,
( hskp13
| hskp7
| ~ hskp15
| ~ c3_1(a924) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_103]),c_0_104]) ).
cnf(c_0_135,negated_conjecture,
( epred35_0
| c3_1(a924)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_103]),c_0_104]) ).
cnf(c_0_136,negated_conjecture,
( hskp23
| hskp15
| ~ hskp27
| ~ c0_1(a900) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_59]),c_0_58]) ).
cnf(c_0_137,negated_conjecture,
( epred8_0
| c0_1(a900)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_58]) ).
cnf(c_0_138,negated_conjecture,
( epred8_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_139,negated_conjecture,
( epred35_0
| epred8_0
| hskp27
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_109,c_0_95]) ).
cnf(c_0_140,negated_conjecture,
( epred35_0
| epred8_0
| hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_80]) ).
cnf(c_0_141,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_142,negated_conjecture,
( epred1_0
| c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_8])]) ).
cnf(c_0_143,negated_conjecture,
( c1_1(a908)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_144,negated_conjecture,
( ~ c3_1(a908)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_145,negated_conjecture,
( ~ c2_1(a908)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_146,negated_conjecture,
( epred26_0
| hskp13
| hskp7
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_73,c_0_112]) ).
cnf(c_0_147,negated_conjecture,
( epred2_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_148,negated_conjecture,
( epred28_0
| epred26_0
| hskp12
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_149,negated_conjecture,
( ~ epred28_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_116,c_0_34]),c_0_35]) ).
cnf(c_0_150,negated_conjecture,
( epred35_0
| epred26_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_151,negated_conjecture,
( epred40_0
| ~ hskp16
| ~ c0_1(a926) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_17]),c_0_15]) ).
cnf(c_0_152,negated_conjecture,
( epred27_0
| hskp16
| c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_120]),c_0_8])]) ).
cnf(c_0_153,negated_conjecture,
( hskp16
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_121]) ).
cnf(c_0_154,negated_conjecture,
( epred30_0
| hskp15
| ~ hskp10
| ~ c3_1(a912) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_22]),c_0_23]) ).
cnf(c_0_155,negated_conjecture,
( ~ epred30_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_123,c_0_98]),c_0_33]) ).
cnf(c_0_156,negated_conjecture,
( epred35_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_124]),c_0_80]),c_0_125]) ).
cnf(c_0_157,negated_conjecture,
( c0_1(X1)
| hskp7
| hskp14
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_158,plain,
( ~ epred33_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_159,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp12
| hskp17
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_160,negated_conjecture,
( hskp28
| hskp12
| c0_1(a926)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_17]),c_0_15]) ).
cnf(c_0_161,negated_conjecture,
( hskp28
| hskp12
| c3_1(a912)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_22]),c_0_23]) ).
cnf(c_0_162,negated_conjecture,
( epred15_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
cnf(c_0_163,negated_conjecture,
( hskp12
| hskp11
| ~ hskp28
| ~ c2_1(a916) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_43]),c_0_45]) ).
cnf(c_0_164,negated_conjecture,
( epred28_0
| hskp25
| c2_1(a916)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_44]) ).
cnf(c_0_165,negated_conjecture,
( hskp28
| hskp16
| ~ hskp15
| ~ c3_1(a924) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_103]),c_0_104]) ).
cnf(c_0_166,negated_conjecture,
( hskp28
| hskp12
| c3_1(a924)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_103]),c_0_104]) ).
cnf(c_0_167,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp20
| hskp18
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_168,negated_conjecture,
( c1_1(a907)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_169,negated_conjecture,
( ~ c2_1(a907)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_170,plain,
( ~ epred34_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_171,plain,
( ~ epred25_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| hskp15
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_172,plain,
( ~ epred21_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| hskp5
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_173,negated_conjecture,
( epred41_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_128]) ).
cnf(c_0_174,negated_conjecture,
( c1_1(a909)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_175,negated_conjecture,
( ~ c3_1(a909)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_176,negated_conjecture,
( epred14_0
| hskp21
| c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_8])]) ).
cnf(c_0_177,negated_conjecture,
( hskp20
| hskp8
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_8])]) ).
cnf(c_0_178,negated_conjecture,
( epred43_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_131]) ).
cnf(c_0_179,negated_conjecture,
( epred36_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_132]) ).
fof(c_0_180,plain,
( ~ epred32_0
<=> ! [X3] :
( c3_1(X3)
| c2_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_181,plain,
( ~ epred4_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( epred42_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_133]),c_0_8])]) ).
cnf(c_0_183,negated_conjecture,
( epred2_0
| c2_1(a916)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_43]),c_0_45]) ).
cnf(c_0_184,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_185,negated_conjecture,
( epred35_0
| hskp7
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_38]) ).
cnf(c_0_186,negated_conjecture,
( epred8_0
| hskp15
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_187,negated_conjecture,
( epred35_0
| epred8_0
| hskp27 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_188,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_141]) ).
cnf(c_0_189,negated_conjecture,
( epred1_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]) ).
cnf(c_0_190,negated_conjecture,
( epred35_0
| epred26_0
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_146]),c_0_118]) ).
cnf(c_0_191,negated_conjecture,
( epred28_0
| epred26_0
| epred2_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_192,negated_conjecture,
( epred35_0
| epred26_0
| ~ epred28_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_193,negated_conjecture,
( epred40_0
| epred35_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_151,c_0_37]) ).
cnf(c_0_194,negated_conjecture,
( epred27_0
| hskp16
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_143]),c_0_144]),c_0_145]) ).
cnf(c_0_195,negated_conjecture,
( ~ epred27_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_153,c_0_120]),c_0_33]) ).
cnf(c_0_196,negated_conjecture,
( epred35_0
| epred30_0
| hskp15
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_154,c_0_40]) ).
cnf(c_0_197,negated_conjecture,
( epred35_0
| ~ epred30_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_198,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_199,plain,
( ~ epred29_0
<=> ! [X1] :
( c1_1(X1)
| hskp1
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_200,negated_conjecture,
( hskp14
| hskp7
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_8])]) ).
cnf(c_0_201,negated_conjecture,
( ~ c0_1(a909)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_202,plain,
( ~ epred7_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp8
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_203,plain,
( ~ epred38_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_204,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp27
| hskp9
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_205,plain,
( ~ epred39_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_206,negated_conjecture,
( c1_1(a979)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_207,negated_conjecture,
( c0_1(a979)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_208,negated_conjecture,
( ~ c3_1(a979)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_209,negated_conjecture,
( c2_1(a910)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_210,negated_conjecture,
( ~ c3_1(a910)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_211,negated_conjecture,
( ~ c1_1(a910)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_212,negated_conjecture,
( epred33_0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_158]) ).
fof(c_0_213,plain,
( ~ epred3_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp9
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_214,negated_conjecture,
( hskp17
| hskp12
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_8])]) ).
cnf(c_0_215,negated_conjecture,
( epred40_0
| hskp28
| hskp12
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_151,c_0_160]) ).
cnf(c_0_216,negated_conjecture,
( hskp28
| hskp16
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_39,c_0_161]) ).
cnf(c_0_217,negated_conjecture,
( epred15_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_162]),c_0_27]),c_0_26]) ).
cnf(c_0_218,negated_conjecture,
( epred28_0
| hskp25
| hskp12
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_70]) ).
cnf(c_0_219,negated_conjecture,
( hskp28
| hskp16
| hskp12
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_220,negated_conjecture,
( hskp20
| hskp18
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_8])]) ).
cnf(c_0_221,negated_conjecture,
( c3_1(a905)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_222,negated_conjecture,
( ~ c2_1(a905)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_223,negated_conjecture,
( hskp21
| hskp10
| ~ hskp6
| ~ c3_1(a907) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_168]),c_0_169]) ).
cnf(c_0_224,negated_conjecture,
( epred1_0
| c3_1(a907)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_168]),c_0_169]) ).
cnf(c_0_225,negated_conjecture,
( epred34_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_8])]) ).
cnf(c_0_226,negated_conjecture,
( epred25_0
| hskp15
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_8])]) ).
cnf(c_0_227,negated_conjecture,
( c0_1(a939)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_228,negated_conjecture,
( ~ c1_1(a939)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_229,negated_conjecture,
( epred21_0
| hskp5
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_8])]) ).
cnf(c_0_230,negated_conjecture,
( ~ c0_1(a905)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_231,negated_conjecture,
( epred41_0
| ~ hskp8
| ~ c2_1(a909) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_232,negated_conjecture,
( epred14_0
| hskp21
| c2_1(a909)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_174]),c_0_175]) ).
cnf(c_0_233,negated_conjecture,
( epred43_0
| hskp20
| hskp8
| c3_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_234,negated_conjecture,
( c2_1(a906)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_235,negated_conjecture,
( ~ c3_1(a906)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_236,negated_conjecture,
( c2_1(X1)
| hskp5
| hskp7
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_237,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp6
| hskp14
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_238,negated_conjecture,
( ~ c1_1(a936)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_239,negated_conjecture,
( ~ c2_1(a936)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_240,negated_conjecture,
( epred41_0
| epred36_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_179]) ).
cnf(c_0_241,negated_conjecture,
( epred32_0
| c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_180]) ).
cnf(c_0_242,negated_conjecture,
( epred4_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_181]) ).
cnf(c_0_243,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp6
| hskp7
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_244,negated_conjecture,
( hskp12
| hskp11
| ~ hskp10
| ~ c3_1(a912) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_50]),c_0_22]) ).
cnf(c_0_245,negated_conjecture,
( epred42_0
| c2_1(a916)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_43]),c_0_45]) ).
cnf(c_0_246,negated_conjecture,
( epred22_0
| epred2_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_81,c_0_183]) ).
cnf(c_0_247,negated_conjecture,
( hskp28
| hskp12
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_248,negated_conjecture,
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c1_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X3)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_184]) ).
cnf(c_0_249,negated_conjecture,
( epred35_0
| epred8_0
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]) ).
cnf(c_0_250,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_188,c_0_111]),c_0_88]) ).
cnf(c_0_251,negated_conjecture,
( epred35_0
| epred26_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_252,negated_conjecture,
( epred35_0
| epred26_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_118]),c_0_192]) ).
cnf(c_0_253,negated_conjecture,
( epred40_0
| epred35_0
| epred27_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_254,negated_conjecture,
( epred35_0
| ~ epred27_0 ),
inference(spm,[status(thm)],[c_0_195,c_0_156]) ).
cnf(c_0_255,negated_conjecture,
( epred35_0
| hskp7
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_196]),c_0_197]) ).
cnf(c_0_256,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_198]) ).
cnf(c_0_257,negated_conjecture,
( epred29_0
| hskp1
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_8])]) ).
cnf(c_0_258,negated_conjecture,
( hskp25
| hskp21
| ~ hskp6
| ~ c3_1(a907) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_168]),c_0_169]) ).
cnf(c_0_259,negated_conjecture,
( hskp14
| hskp7
| ~ hskp8
| ~ c2_1(a909) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_174]),c_0_201]) ).
cnf(c_0_260,negated_conjecture,
( epred1_0
| c2_1(a909)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_174]),c_0_175]) ).
cnf(c_0_261,negated_conjecture,
( ~ c2_1(a946)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_262,negated_conjecture,
( epred7_0
| hskp8
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_202]),c_0_8])]) ).
cnf(c_0_263,negated_conjecture,
( epred38_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_203]) ).
cnf(c_0_264,negated_conjecture,
( hskp27
| hskp9
| c2_1(X1)
| c3_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_8])]) ).
fof(c_0_265,plain,
( ~ epred20_0
<=> ! [X2] :
( hskp0
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_266,negated_conjecture,
( epred39_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_205]) ).
cnf(c_0_267,negated_conjecture,
( ~ c1_1(a901)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_268,negated_conjecture,
( ~ c3_1(a901)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_269,negated_conjecture,
( ~ c0_1(a901)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_270,plain,
( ~ epred31_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_271,negated_conjecture,
( c0_1(a906)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_272,negated_conjecture,
( epred11_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_206]),c_0_207]),c_0_208]) ).
cnf(c_0_273,negated_conjecture,
( hskp26
| hskp5
| hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_274,negated_conjecture,
( epred40_0
| ~ hskp9
| ~ c0_1(a910) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_209]),c_0_210]) ).
cnf(c_0_275,negated_conjecture,
( epred33_0
| c0_1(a910)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_210]) ).
cnf(c_0_276,negated_conjecture,
( epred3_0
| hskp9
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_8])]) ).
fof(c_0_277,plain,
( ~ epred18_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_278,negated_conjecture,
( c1_1(a937)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_279,negated_conjecture,
( ~ c0_1(a937)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_280,negated_conjecture,
( ~ c2_1(a937)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_281,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_282,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_283,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_284,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_285,negated_conjecture,
( c1_1(X1)
| hskp1
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_286,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp15
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_287,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp5
| ~ 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_288,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| hskp0
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_289,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp21
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_290,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp8
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_291,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp9
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_292,negated_conjecture,
( hskp17
| hskp12
| c1_1(a914)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_54]),c_0_55]) ).
cnf(c_0_293,negated_conjecture,
( epred40_0
| hskp28
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_294,negated_conjecture,
( hskp21
| hskp11
| hskp10
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_82]),c_0_110]) ).
cnf(c_0_295,negated_conjecture,
( epred28_0
| epred15_0
| hskp12
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_296,negated_conjecture,
( epred40_0
| hskp28
| hskp12
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_215,c_0_219]) ).
cnf(c_0_297,negated_conjecture,
( hskp20
| hskp18
| c1_1(a905)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]) ).
cnf(c_0_298,negated_conjecture,
( hskp14
| hskp7
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_50]),c_0_22]),c_0_23]) ).
cnf(c_0_299,negated_conjecture,
( epred1_0
| hskp21
| hskp10
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_300,negated_conjecture,
( epred34_0
| hskp21
| hskp10
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_225]) ).
cnf(c_0_301,negated_conjecture,
( epred25_0
| hskp15
| c2_1(a939)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).
cnf(c_0_302,negated_conjecture,
( epred21_0
| hskp5
| c1_1(a905)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_221]),c_0_230]) ).
cnf(c_0_303,negated_conjecture,
( epred41_0
| epred14_0
| hskp21
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_304,negated_conjecture,
( epred43_0
| hskp20
| hskp8
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_305,negated_conjecture,
( hskp7
| hskp5
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_8])]) ).
cnf(c_0_306,negated_conjecture,
( epred14_0
| hskp21
| c3_1(a907)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_168]),c_0_169]) ).
cnf(c_0_307,negated_conjecture,
( epred14_0
| hskp21
| c2_1(a979)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_206]),c_0_208]) ).
cnf(c_0_308,negated_conjecture,
( epred34_0
| epred2_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_225]) ).
cnf(c_0_309,negated_conjecture,
( epred34_0
| epred1_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_225]) ).
cnf(c_0_310,negated_conjecture,
( hskp14
| hskp6
| c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_8])]) ).
cnf(c_0_311,negated_conjecture,
( epred34_0
| c0_1(a936)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_225]),c_0_239]) ).
cnf(c_0_312,negated_conjecture,
( hskp28
| c1_1(a914)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_53]),c_0_54]) ).
cnf(c_0_313,negated_conjecture,
( epred41_0
| epred36_0
| epred32_0
| c3_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_314,negated_conjecture,
( epred33_0
| epred1_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_212]) ).
cnf(c_0_315,negated_conjecture,
( epred4_0
| c2_1(a939)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_242]),c_0_227]) ).
cnf(c_0_316,negated_conjecture,
( hskp7
| hskp6
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_8])]) ).
cnf(c_0_317,negated_conjecture,
( c3_1(a923)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_318,negated_conjecture,
( epred2_0
| hskp11
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_183]),c_0_147]) ).
cnf(c_0_319,negated_conjecture,
( hskp28
| hskp12
| hskp11
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_244,c_0_161]) ).
cnf(c_0_320,negated_conjecture,
( epred42_0
| epred22_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_81,c_0_245]) ).
cnf(c_0_321,negated_conjecture,
( epred22_0
| hskp28
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_67,c_0_161]) ).
cnf(c_0_322,negated_conjecture,
( epred42_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_323,negated_conjecture,
( epred22_0
| epred2_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_147]) ).
cnf(c_0_324,negated_conjecture,
( epred26_0
| hskp12
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_63,c_0_247]) ).
cnf(c_0_325,negated_conjecture,
( ~ epred40_0
| ~ epred26_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_248,c_0_111]),c_0_97]),c_0_24]) ).
cnf(c_0_326,negated_conjecture,
( epred35_0
| epred8_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_249]) ).
cnf(c_0_327,negated_conjecture,
( epred35_0
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]) ).
cnf(c_0_328,negated_conjecture,
( epred40_0
| epred35_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_249]),c_0_254]) ).
cnf(c_0_329,negated_conjecture,
( epred35_0
| hskp21
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_110]),c_0_80]) ).
cnf(c_0_330,negated_conjecture,
( ~ epred39_0
| ~ epred34_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_256,c_0_170]),c_0_205]),c_0_24]) ).
cnf(c_0_331,negated_conjecture,
( epred29_0
| hskp1
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_332,negated_conjecture,
( epred1_0
| hskp25
| hskp21
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_258,c_0_224]) ).
cnf(c_0_333,negated_conjecture,
( epred1_0
| hskp14
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_189]) ).
cnf(c_0_334,negated_conjecture,
( epred7_0
| hskp8
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_78]),c_0_76]) ).
cnf(c_0_335,negated_conjecture,
( epred38_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_50]),c_0_22]),c_0_23]) ).
cnf(c_0_336,negated_conjecture,
( epred1_0
| hskp27
| hskp9
| c2_1(X1)
| c3_1(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_264]) ).
cnf(c_0_337,negated_conjecture,
( ~ c0_1(a923)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_338,negated_conjecture,
( ~ c1_1(a923)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_339,negated_conjecture,
( epred20_0
| c2_1(X1)
| hskp0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_265]),c_0_8])]) ).
cnf(c_0_340,negated_conjecture,
( c0_1(a907)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_341,negated_conjecture,
( epred39_0
| hskp13
| hskp7
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_266]) ).
cnf(c_0_342,negated_conjecture,
( epred42_0
| ~ hskp6
| ~ c3_1(a907) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_168]),c_0_169]) ).
cnf(c_0_343,negated_conjecture,
( epred43_0
| ~ c2_1(a901)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_178]),c_0_268]) ).
cnf(c_0_344,negated_conjecture,
( epred34_0
| c2_1(a901)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_225]),c_0_269]) ).
cnf(c_0_345,negated_conjecture,
( epred31_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_8])]) ).
cnf(c_0_346,negated_conjecture,
( epred40_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_234]),c_0_271]),c_0_235]) ).
cnf(c_0_347,negated_conjecture,
( epred11_0
| hskp21
| hskp5 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_348,negated_conjecture,
( epred40_0
| epred33_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_349,negated_conjecture,
( epred3_0
| hskp9
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_276]),c_0_78]),c_0_76]) ).
cnf(c_0_350,negated_conjecture,
( epred39_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_266]),c_0_221]),c_0_230]) ).
cnf(c_0_351,negated_conjecture,
( ~ c3_1(a939)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_352,negated_conjecture,
( ~ c1_1(a902)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_353,negated_conjecture,
( epred18_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_277]) ).
cnf(c_0_354,negated_conjecture,
( c0_1(a902)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_355,negated_conjecture,
( c2_1(a902)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_356,negated_conjecture,
( epred8_0
| ~ hskp18
| ~ c3_1(a937) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_278]),c_0_279]) ).
cnf(c_0_357,negated_conjecture,
( epred1_0
| c3_1(a937)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_278]),c_0_280]) ).
cnf(c_0_358,negated_conjecture,
( epred40_0
| epred32_0
| c3_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_241]) ).
cnf(c_0_359,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_281]) ).
cnf(c_0_360,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X3)
| c3_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_282]) ).
cnf(c_0_361,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c1_1(X3)
| c1_1(X1)
| c3_1(X3)
| c3_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_283]) ).
cnf(c_0_362,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c1_1(X1)
| c3_1(X3)
| c3_1(X2)
| c3_1(X1)
| c2_1(X3)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_284]) ).
cnf(c_0_363,negated_conjecture,
( hskp1
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_285]) ).
cnf(c_0_364,negated_conjecture,
( hskp15
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_286]) ).
cnf(c_0_365,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_287]) ).
cnf(c_0_366,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_288]) ).
cnf(c_0_367,negated_conjecture,
( hskp21
| c1_1(X1)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_289]) ).
cnf(c_0_368,negated_conjecture,
( hskp8
| c0_1(X2)
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_290]) ).
cnf(c_0_369,negated_conjecture,
( hskp9
| c0_1(X1)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_291]) ).
cnf(c_0_370,negated_conjecture,
( hskp21
| hskp10
| c2_1(a914)
| hskp17
| hskp12
| ~ c3_1(a914)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_66,c_0_292]) ).
cnf(c_0_371,negated_conjecture,
( epred22_0
| epred2_0
| epred40_0
| hskp12
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_246,c_0_293]) ).
cnf(c_0_372,negated_conjecture,
( hskp21
| hskp11
| hskp10
| hskp12
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_294,c_0_247]) ).
cnf(c_0_373,negated_conjecture,
( epred28_0
| epred15_0
| hskp12
| epred40_0
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_374,negated_conjecture,
( epred8_0
| c0_1(a905)
| hskp20
| hskp18
| ~ c3_1(a905)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_68,c_0_297]) ).
cnf(c_0_375,negated_conjecture,
( epred2_0
| c2_1(a905)
| hskp20
| hskp18
| ~ c3_1(a905)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_113,c_0_297]) ).
cnf(c_0_376,negated_conjecture,
( hskp14
| hskp7
| epred1_0
| hskp21
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_377,negated_conjecture,
( epred34_0
| hskp21
| hskp10
| c2_1(a905)
| c0_1(a905)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_300,c_0_221]) ).
cnf(c_0_378,negated_conjecture,
( epred40_0
| c3_1(a939)
| epred25_0
| hskp15
| ~ c0_1(a939)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_119,c_0_301]) ).
cnf(c_0_379,negated_conjecture,
( epred2_0
| c2_1(a905)
| epred21_0
| hskp5
| ~ c3_1(a905)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_113,c_0_302]) ).
cnf(c_0_380,negated_conjecture,
( epred41_0
| epred14_0
| hskp21
| epred43_0
| hskp20
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_381,negated_conjecture,
( hskp7
| hskp5
| c2_1(a907)
| epred14_0
| hskp21
| ~ c0_1(a907)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_382,negated_conjecture,
( epred40_0
| c3_1(a979)
| epred14_0
| hskp21
| ~ c0_1(a979)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_119,c_0_307]) ).
cnf(c_0_383,negated_conjecture,
( epred34_0
| epred2_0
| c0_1(a905)
| ~ hskp4
| ~ c3_1(a905) ),
inference(spm,[status(thm)],[c_0_222,c_0_308]) ).
cnf(c_0_384,negated_conjecture,
( epred34_0
| epred1_0
| c3_1(a946)
| c0_1(a946)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_261,c_0_309]) ).
cnf(c_0_385,negated_conjecture,
( hskp14
| hskp6
| c2_1(a936)
| c3_1(a936)
| epred34_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_386,negated_conjecture,
( epred26_0
| hskp28
| ~ c3_1(a914)
| ~ c0_1(a914)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_42,c_0_312]) ).
cnf(c_0_387,negated_conjecture,
( epred41_0
| epred36_0
| epred32_0
| ~ hskp5
| ~ c0_1(a906) ),
inference(spm,[status(thm)],[c_0_235,c_0_313]) ).
cnf(c_0_388,negated_conjecture,
( epred33_0
| epred1_0
| c3_1(a946)
| c0_1(a946)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_261,c_0_314]) ).
cnf(c_0_389,negated_conjecture,
( epred40_0
| c3_1(a939)
| epred4_0
| ~ c0_1(a939)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_119,c_0_315]) ).
cnf(c_0_390,negated_conjecture,
( hskp27
| hskp10
| c3_1(a937)
| c0_1(a937)
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_280,c_0_62]) ).
cnf(c_0_391,negated_conjecture,
( hskp27
| hskp10
| c3_1(a946)
| c0_1(a946)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_261,c_0_62]) ).
cnf(c_0_392,negated_conjecture,
( hskp7
| hskp6
| c1_1(a923)
| c0_1(a923)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_393,negated_conjecture,
( epred2_0
| hskp11
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_147]) ).
cnf(c_0_394,negated_conjecture,
( epred42_0
| epred22_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]) ).
cnf(c_0_395,negated_conjecture,
( epred22_0
| epred2_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_321]),c_0_147]) ).
cnf(c_0_396,negated_conjecture,
( epred22_0
| epred2_0
| hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_65]),c_0_147]) ).
cnf(c_0_397,negated_conjecture,
( epred26_0
| hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_65]),c_0_79]) ).
cnf(c_0_398,negated_conjecture,
( epred35_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]),c_0_328]) ).
cnf(c_0_399,negated_conjecture,
( epred35_0
| epred1_0
| hskp21 ),
inference(spm,[status(thm)],[c_0_189,c_0_329]) ).
cnf(c_0_400,negated_conjecture,
( epred35_0
| ~ epred39_0
| ~ epred34_0 ),
inference(spm,[status(thm)],[c_0_330,c_0_327]) ).
cnf(c_0_401,negated_conjecture,
( epred29_0
| epred1_0
| hskp21
| hskp1
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_402,negated_conjecture,
( epred7_0
| epred1_0
| hskp14
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_403,negated_conjecture,
( hskp21
| hskp14
| hskp7
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_298,c_0_110]) ).
cnf(c_0_404,negated_conjecture,
( epred38_0
| epred1_0
| hskp21
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_335,c_0_299]) ).
cnf(c_0_405,negated_conjecture,
( epred15_0
| epred1_0
| hskp21
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_217,c_0_332]) ).
cnf(c_0_406,negated_conjecture,
( epred1_0
| hskp27
| hskp9
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_336]),c_0_76]) ).
cnf(c_0_407,negated_conjecture,
( epred21_0
| hskp5
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_317]),c_0_337]),c_0_338]) ).
cnf(c_0_408,negated_conjecture,
( epred20_0
| hskp0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_168]),c_0_340]),c_0_169]) ).
cnf(c_0_409,negated_conjecture,
( epred39_0
| hskp13
| hskp7
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_317]),c_0_337]) ).
cnf(c_0_410,negated_conjecture,
( epred42_0
| epred1_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_342,c_0_224]) ).
cnf(c_0_411,negated_conjecture,
( epred43_0
| epred34_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_412,negated_conjecture,
( epred31_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_345]),c_0_78]),c_0_76]) ).
cnf(c_0_413,negated_conjecture,
( epred43_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_178]),c_0_209]),c_0_210]) ).
cnf(c_0_414,negated_conjecture,
( epred40_0
| epred11_0
| hskp21 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_415,negated_conjecture,
( epred40_0
| epred33_0
| epred3_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_416,negated_conjecture,
( epred39_0
| hskp20
| hskp14 ),
inference(spm,[status(thm)],[c_0_350,c_0_4]) ).
cnf(c_0_417,negated_conjecture,
( epred36_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_179]),c_0_227]),c_0_351]) ).
cnf(c_0_418,negated_conjecture,
( epred18_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]),c_0_355]) ).
cnf(c_0_419,negated_conjecture,
( epred8_0
| epred1_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_420,negated_conjecture,
( epred2_0
| ~ hskp18
| ~ c3_1(a937) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_278]),c_0_280]) ).
cnf(c_0_421,negated_conjecture,
( epred40_0
| epred32_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_358]),c_0_227]) ).
cnf(c_0_422,negated_conjecture,
( ~ epred43_0
| ~ epred42_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_133]),c_0_131]),c_0_203]) ).
cnf(c_0_423,negated_conjecture,
( ~ epred41_0
| ~ epred40_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_360,c_0_170]),c_0_97]),c_0_128]) ).
cnf(c_0_424,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_361,c_0_170]),c_0_9]),c_0_132]) ).
cnf(c_0_425,negated_conjecture,
( ~ epred33_0
| ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_270]),c_0_180]),c_0_158]) ).
cnf(c_0_426,negated_conjecture,
( ~ epred29_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_199]),c_0_24]) ).
cnf(c_0_427,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_364,c_0_171]),c_0_24]) ).
cnf(c_0_428,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_365,c_0_172]),c_0_33]) ).
cnf(c_0_429,negated_conjecture,
( ~ epred20_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_366,c_0_265]),c_0_277]) ).
cnf(c_0_430,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_367,c_0_129]),c_0_127]) ).
cnf(c_0_431,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_368,c_0_202]),c_0_51]) ).
cnf(c_0_432,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_369,c_0_213]),c_0_181]) ).
cnf(c_0_433,negated_conjecture,
( ~ c3_1(a936)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_434,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_247,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_298,c_0_404,c_0_405,c_0_115,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_411,c_0_412,c_0_413,c_0_414,c_0_346,c_0_415,c_0_416,c_0_335,c_0_417,c_0_38,c_0_63,c_0_84,c_0_418,c_0_419,c_0_147,c_0_420,c_0_189,c_0_421,c_0_325,c_0_422,c_0_423,c_0_330,c_0_424,c_0_425,c_0_426,c_0_149,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_432,c_0_250,c_0_208,c_0_76,c_0_78,c_0_351,c_0_279,c_0_239,c_0_433,c_0_338,c_0_337,c_0_55,c_0_169,c_0_222,c_0_230,c_0_53,c_0_221,c_0_207,c_0_227,c_0_54,c_0_340,c_0_271,c_0_65,c_0_273,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN455+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 : n018.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 19:56:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 1.61/1.68 % Version : CSE_E---1.5
% 1.61/1.68 % Problem : theBenchmark.p
% 1.61/1.68 % Proof found
% 1.61/1.68 % SZS status Theorem for theBenchmark.p
% 1.61/1.68 % SZS output start Proof
% See solution above
% 1.65/1.70 % Total time : 1.077000 s
% 1.65/1.70 % SZS output end Proof
% 1.65/1.70 % Total time : 1.081000 s
%------------------------------------------------------------------------------