%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN475+1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:38:40 PM UTC 2026
% Result : Theorem 5.91s 4.32s
% Output : CNFRefutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 44
% Syntax : Number of formulae : 387 ( 2 unt; 0 def)
% Number of atoms : 3870 ( 0 equ)
% Maximal formula atoms : 802 ( 10 avg)
% Number of connectives : 5198 (1715 ~;2635 |; 573 &)
% ( 43 <=>; 232 =>; 0 <=; 0 <~>)
% Maximal formula depth : 310 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 79 ( 78 usr; 75 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 576 ( 0 sgn 391 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| hskp0
| hskp1 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c2_1(X6)
| c3_1(X6) ) )
| hskp2 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ~ c0_1(X8)
| ~ c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c1_1(X9) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c3_1(X11)
| ~ c1_1(X11) ) )
| hskp3 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13) ) )
| hskp4 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c1_1(X16)
| c3_1(X16)
| ~ c2_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| hskp5 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c3_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| c2_1(X21)
| c3_1(X21) ) ) )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| ~ c2_1(X23)
| ~ c3_1(X23) ) )
| hskp6 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c1_1(X25)
| c3_1(X25)
| ~ c2_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| hskp0 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c1_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp7 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| c3_1(X32)
| ~ c0_1(X32) ) )
| hskp4 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| hskp8 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| hskp9
| hskp10 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| hskp8
| hskp7 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c3_1(X37)
| ~ c1_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c3_1(X38) ) )
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c1_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| hskp7 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| ~ c0_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48) ) )
| hskp6 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c1_1(X49) ) )
| hskp6
| hskp12 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54) ) )
| hskp11 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| hskp2
| hskp1 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c2_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| hskp13 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c2_1(X59)
| ~ c3_1(X59) ) )
| hskp8 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c2_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61) ) )
| hskp14 )
& ( ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c1_1(X64)
| ~ c2_1(X64)
| ~ c3_1(X64) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c3_1(X66) ) )
| hskp15 )
& ( ! [X67] :
( ndr1_0
=> ( c0_1(X67)
| ~ c2_1(X67)
| ~ c3_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| c3_1(X68)
| ~ c1_1(X68) ) )
| hskp9 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c3_1(X70)
| ~ c0_1(X70) ) )
| hskp13 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c2_1(X71)
| c3_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| hskp27 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c2_1(X73)
| c3_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c1_1(X74) ) )
| hskp16 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| ~ c0_1(X76)
| ~ c3_1(X76) ) )
| hskp12 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c2_1(X77)
| c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp17 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79) ) )
| hskp28
| hskp8 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80) ) )
| hskp10
| hskp18 )
& ( ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) )
| hskp19 )
& ( ! [X83] :
( ndr1_0
=> ( c1_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c0_1(X84) ) )
| hskp20 )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c1_1(X86)
| ~ c2_1(X86) ) )
| hskp10 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c3_1(X87)
| ~ c0_1(X87) ) )
| hskp29
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp6 )
& ( ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| hskp22 )
& ( ! [X92] :
( ndr1_0
=> ( c1_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| ~ c0_1(X93)
| ~ c1_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| ~ c2_1(X94)
| ~ c3_1(X94) ) ) )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95) ) )
| hskp23 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| hskp24
| hskp15 )
& ( ! [X97] :
( ndr1_0
=> ( c1_1(X97)
| ~ c2_1(X97)
| ~ c3_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98) ) )
| ! [X99] :
( ndr1_0
=> ( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) ) )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| c3_1(X100)
| ~ c0_1(X100) ) )
| hskp3
| hskp25 )
& ( ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| c3_1(X101)
| ~ c1_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c2_1(X102) ) )
| hskp15 )
& ( ! [X103] :
( ndr1_0
=> ( c2_1(X103)
| ~ c0_1(X103)
| ~ c1_1(X103) ) )
| ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104) ) )
| hskp6 )
& ( ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| hskp8
| hskp26 )
& ( ! [X106] :
( ndr1_0
=> ( c2_1(X106)
| ~ c0_1(X106)
| ~ c1_1(X106) ) )
| hskp6
| hskp13 )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| ~ c0_1(X107)
| ~ c3_1(X107) ) )
| hskp23
| hskp3 )
& ( ! [X108] :
( ndr1_0
=> ( c2_1(X108)
| ~ c1_1(X108)
| ~ c3_1(X108) ) )
| hskp6
| hskp22 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c1_1(X109) ) )
| hskp4
| hskp19 )
& ( ! [X110] :
( ndr1_0
=> ( c3_1(X110)
| ~ c0_1(X110)
| ~ c2_1(X110) ) )
| ! [X111] :
( ndr1_0
=> ( ~ c0_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111) ) )
| hskp17 )
& ( ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp23
| hskp4 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp9
| hskp12 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c1_1(X114)
| ~ c2_1(X114) ) )
| hskp7 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp24
| hskp3 )
& ( ! [X116] :
( ndr1_0
=> ( ~ c0_1(X116)
| ~ c2_1(X116)
| ~ c3_1(X116) ) )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| hskp0
| hskp1 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c2_1(X6)
| c3_1(X6) ) )
| hskp2 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ~ c0_1(X8)
| ~ c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c1_1(X9) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c3_1(X11)
| ~ c1_1(X11) ) )
| hskp3 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13) ) )
| hskp4 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c1_1(X16)
| c3_1(X16)
| ~ c2_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| hskp5 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c3_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| c2_1(X21)
| c3_1(X21) ) ) )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| ~ c2_1(X23)
| ~ c3_1(X23) ) )
| hskp6 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c1_1(X25)
| c3_1(X25)
| ~ c2_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| hskp0 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c1_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp7 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| c3_1(X32)
| ~ c0_1(X32) ) )
| hskp4 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| hskp8 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| hskp9
| hskp10 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| hskp8
| hskp7 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c3_1(X37)
| ~ c1_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c3_1(X38) ) )
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c1_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| hskp7 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| ~ c0_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48) ) )
| hskp6 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c1_1(X49) ) )
| hskp6
| hskp12 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54) ) )
| hskp11 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| hskp2
| hskp1 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c2_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| hskp13 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c2_1(X59)
| ~ c3_1(X59) ) )
| hskp8 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c2_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61) ) )
| hskp14 )
& ( ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c1_1(X64)
| ~ c2_1(X64)
| ~ c3_1(X64) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c3_1(X66) ) )
| hskp15 )
& ( ! [X67] :
( ndr1_0
=> ( c0_1(X67)
| ~ c2_1(X67)
| ~ c3_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| c3_1(X68)
| ~ c1_1(X68) ) )
| hskp9 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c3_1(X70)
| ~ c0_1(X70) ) )
| hskp13 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c2_1(X71)
| c3_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| hskp27 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c2_1(X73)
| c3_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c1_1(X74) ) )
| hskp16 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| ~ c0_1(X76)
| ~ c3_1(X76) ) )
| hskp12 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c2_1(X77)
| c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp17 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79) ) )
| hskp28
| hskp8 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80) ) )
| hskp10
| hskp18 )
& ( ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) )
| hskp19 )
& ( ! [X83] :
( ndr1_0
=> ( c1_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c0_1(X84) ) )
| hskp20 )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c1_1(X86)
| ~ c2_1(X86) ) )
| hskp10 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c3_1(X87)
| ~ c0_1(X87) ) )
| hskp29
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp6 )
& ( ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| hskp22 )
& ( ! [X92] :
( ndr1_0
=> ( c1_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| ~ c0_1(X93)
| ~ c1_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| ~ c2_1(X94)
| ~ c3_1(X94) ) ) )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95) ) )
| hskp23 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| hskp24
| hskp15 )
& ( ! [X97] :
( ndr1_0
=> ( c1_1(X97)
| ~ c2_1(X97)
| ~ c3_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98) ) )
| ! [X99] :
( ndr1_0
=> ( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) ) )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| c3_1(X100)
| ~ c0_1(X100) ) )
| hskp3
| hskp25 )
& ( ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| c3_1(X101)
| ~ c1_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c2_1(X102) ) )
| hskp15 )
& ( ! [X103] :
( ndr1_0
=> ( c2_1(X103)
| ~ c0_1(X103)
| ~ c1_1(X103) ) )
| ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104) ) )
| hskp6 )
& ( ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| hskp8
| hskp26 )
& ( ! [X106] :
( ndr1_0
=> ( c2_1(X106)
| ~ c0_1(X106)
| ~ c1_1(X106) ) )
| hskp6
| hskp13 )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| ~ c0_1(X107)
| ~ c3_1(X107) ) )
| hskp23
| hskp3 )
& ( ! [X108] :
( ndr1_0
=> ( c2_1(X108)
| ~ c1_1(X108)
| ~ c3_1(X108) ) )
| hskp6
| hskp22 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c1_1(X109) ) )
| hskp4
| hskp19 )
& ( ! [X110] :
( ndr1_0
=> ( c3_1(X110)
| ~ c0_1(X110)
| ~ c2_1(X110) ) )
| ! [X111] :
( ndr1_0
=> ( ~ c0_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111) ) )
| hskp17 )
& ( ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp23
| hskp4 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp9
| hskp12 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c1_1(X114)
| ~ c2_1(X114) ) )
| hskp7 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp24
| hskp3 )
& ( ! [X116] :
( ndr1_0
=> ( ~ c0_1(X116)
| ~ c2_1(X116)
| ~ c3_1(X116) ) )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274,X275,X276,X277,X278,X279,X280,X281,X282,X283,X284,X285,X286,X287,X288,X289,X290,X291,X292,X293,X294,X295,X296,X297,X298,X299,X300,X301,X302,X303,X304,X305,X306,X307,X308,X309,X310,X311,X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322,X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,X333,X334,X335,X336,X337,X338,X339,X340,X341,X342,X343,X344,X345,X346,X347,X348] :
( ( ndr1_0
| ~ hskp0 )
& ( c0_1(a1000)
| ~ hskp0 )
& ( c2_1(a1000)
| ~ hskp0 )
& ( ~ c3_1(a1000)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c2_1(a1001)
| ~ hskp1 )
& ( c3_1(a1001)
| ~ hskp1 )
& ( ~ c1_1(a1001)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c0_1(a1002)
| ~ hskp2 )
& ( c2_1(a1002)
| ~ hskp2 )
& ( ~ c1_1(a1002)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c1_1(a1003)
| ~ hskp3 )
& ( ~ c0_1(a1003)
| ~ hskp3 )
& ( ~ c2_1(a1003)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( c1_1(a1004)
| ~ hskp4 )
& ( c2_1(a1004)
| ~ hskp4 )
& ( ~ c3_1(a1004)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( ~ c1_1(a1005)
| ~ hskp5 )
& ( ~ c2_1(a1005)
| ~ hskp5 )
& ( ~ c3_1(a1005)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a1006)
| ~ hskp6 )
& ( c3_1(a1006)
| ~ hskp6 )
& ( ~ c2_1(a1006)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c2_1(a1008)
| ~ hskp7 )
& ( ~ c1_1(a1008)
| ~ hskp7 )
& ( ~ c3_1(a1008)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c0_1(a1010)
| ~ hskp8 )
& ( c3_1(a1010)
| ~ hskp8 )
& ( ~ c1_1(a1010)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c0_1(a1011)
| ~ hskp9 )
& ( c1_1(a1011)
| ~ hskp9 )
& ( ~ c2_1(a1011)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( c0_1(a1012)
| ~ hskp10 )
& ( ~ c1_1(a1012)
| ~ hskp10 )
& ( ~ c3_1(a1012)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c3_1(a1015)
| ~ hskp11 )
& ( ~ c0_1(a1015)
| ~ hskp11 )
& ( ~ c1_1(a1015)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c1_1(a1019)
| ~ hskp12 )
& ( c2_1(a1019)
| ~ hskp12 )
& ( ~ c0_1(a1019)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c3_1(a1023)
| ~ hskp13 )
& ( ~ c1_1(a1023)
| ~ hskp13 )
& ( ~ c2_1(a1023)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c0_1(a1025)
| ~ hskp14 )
& ( ~ c2_1(a1025)
| ~ hskp14 )
& ( ~ c3_1(a1025)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c2_1(a1026)
| ~ hskp15 )
& ( ~ c0_1(a1026)
| ~ hskp15 )
& ( ~ c1_1(a1026)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c1_1(a1030)
| ~ hskp16 )
& ( ~ c2_1(a1030)
| ~ hskp16 )
& ( ~ c3_1(a1030)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c2_1(a1032)
| ~ hskp17 )
& ( c3_1(a1032)
| ~ hskp17 )
& ( ~ c0_1(a1032)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c1_1(a1036)
| ~ hskp18 )
& ( c3_1(a1036)
| ~ hskp18 )
& ( ~ c2_1(a1036)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( ~ c0_1(a1037)
| ~ hskp19 )
& ( ~ c1_1(a1037)
| ~ hskp19 )
& ( ~ c3_1(a1037)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( ~ c0_1(a1038)
| ~ hskp20 )
& ( ~ c1_1(a1038)
| ~ hskp20 )
& ( ~ c2_1(a1038)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( c2_1(a1041)
| ~ hskp21 )
& ( ~ c0_1(a1041)
| ~ hskp21 )
& ( ~ c3_1(a1041)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( c0_1(a1043)
| ~ hskp22 )
& ( ~ c1_1(a1043)
| ~ hskp22 )
& ( ~ c2_1(a1043)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c0_1(a1044)
| ~ hskp23 )
& ( c1_1(a1044)
| ~ hskp23 )
& ( ~ c3_1(a1044)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c1_1(a1045)
| ~ hskp24 )
& ( c3_1(a1045)
| ~ hskp24 )
& ( ~ c0_1(a1045)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( c1_1(a1048)
| ~ hskp25 )
& ( ~ c0_1(a1048)
| ~ hskp25 )
& ( ~ c3_1(a1048)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c3_1(a1052)
| ~ hskp26 )
& ( ~ c0_1(a1052)
| ~ hskp26 )
& ( ~ c2_1(a1052)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c0_1(a1029)
| ~ hskp27 )
& ( c2_1(a1029)
| ~ hskp27 )
& ( c3_1(a1029)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c0_1(a1033)
| ~ hskp28 )
& ( c1_1(a1033)
| ~ hskp28 )
& ( c2_1(a1033)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c0_1(a1040)
| ~ hskp29 )
& ( c1_1(a1040)
| ~ hskp29 )
& ( c3_1(a1040)
| ~ hskp29 )
& ( ~ ndr1_0
| c0_1(X233)
| c1_1(X233)
| c2_1(X233)
| ~ ndr1_0
| c0_1(X234)
| c1_1(X234)
| ~ c2_1(X234)
| ~ ndr1_0
| c0_1(X235)
| c2_1(X235)
| ~ c3_1(X235) )
& ( ~ ndr1_0
| c0_1(X236)
| c1_1(X236)
| c2_1(X236)
| hskp0
| hskp1 )
& ( ~ ndr1_0
| c0_1(X237)
| c1_1(X237)
| c3_1(X237)
| ~ ndr1_0
| c1_1(X238)
| c2_1(X238)
| c3_1(X238)
| hskp2 )
& ( ~ ndr1_0
| c0_1(X239)
| c1_1(X239)
| ~ c2_1(X239)
| ~ ndr1_0
| c1_1(X240)
| ~ c0_1(X240)
| ~ c2_1(X240)
| ~ ndr1_0
| c2_1(X241)
| ~ c0_1(X241)
| ~ c1_1(X241) )
& ( ~ ndr1_0
| c0_1(X242)
| c1_1(X242)
| ~ c2_1(X242)
| ~ ndr1_0
| c2_1(X243)
| c3_1(X243)
| ~ c1_1(X243)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X244)
| c1_1(X244)
| ~ c2_1(X244)
| ~ ndr1_0
| c2_1(X245)
| ~ c0_1(X245)
| ~ c3_1(X245)
| hskp4 )
& ( ~ ndr1_0
| c0_1(X246)
| c1_1(X246)
| ~ c3_1(X246)
| ~ ndr1_0
| c0_1(X247)
| c2_1(X247)
| ~ c3_1(X247)
| ~ ndr1_0
| c1_1(X248)
| c3_1(X248)
| ~ c2_1(X248) )
& ( ~ ndr1_0
| c0_1(X249)
| c1_1(X249)
| ~ c3_1(X249)
| ~ ndr1_0
| ~ c0_1(X250)
| ~ c1_1(X250)
| ~ c2_1(X250)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X251)
| c2_1(X251)
| c3_1(X251)
| ~ ndr1_0
| c0_1(X252)
| c3_1(X252)
| ~ c1_1(X252)
| ~ ndr1_0
| c1_1(X253)
| c2_1(X253)
| c3_1(X253) )
& ( ~ ndr1_0
| c0_1(X254)
| c2_1(X254)
| c3_1(X254)
| ~ ndr1_0
| c0_1(X255)
| ~ c2_1(X255)
| ~ c3_1(X255)
| hskp6 )
& ( ~ ndr1_0
| c0_1(X256)
| c2_1(X256)
| c3_1(X256)
| ~ ndr1_0
| c1_1(X257)
| c3_1(X257)
| ~ c2_1(X257)
| ~ ndr1_0
| c2_1(X258)
| c3_1(X258)
| ~ c0_1(X258) )
& ( ~ ndr1_0
| c0_1(X259)
| c2_1(X259)
| ~ c1_1(X259)
| ~ ndr1_0
| c0_1(X260)
| ~ c1_1(X260)
| ~ c2_1(X260)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X261)
| c2_1(X261)
| ~ c1_1(X261)
| ~ ndr1_0
| c1_1(X262)
| c2_1(X262)
| ~ c3_1(X262)
| hskp7 )
& ( ~ ndr1_0
| c0_1(X263)
| c2_1(X263)
| ~ c1_1(X263)
| ~ ndr1_0
| c1_1(X264)
| c3_1(X264)
| ~ c0_1(X264)
| hskp4 )
& ( ~ ndr1_0
| c0_1(X265)
| c2_1(X265)
| ~ c1_1(X265)
| ~ ndr1_0
| c1_1(X266)
| c3_1(X266)
| ~ c2_1(X266)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X267)
| c2_1(X267)
| ~ c1_1(X267)
| hskp9
| hskp10 )
& ( ~ ndr1_0
| c0_1(X268)
| c2_1(X268)
| ~ c1_1(X268)
| hskp8
| hskp7 )
& ( ~ ndr1_0
| c0_1(X269)
| c3_1(X269)
| ~ c1_1(X269)
| ~ ndr1_0
| c0_1(X270)
| ~ c1_1(X270)
| ~ c3_1(X270)
| hskp11 )
& ( ~ ndr1_0
| c0_1(X271)
| c3_1(X271)
| ~ c1_1(X271)
| ~ ndr1_0
| c1_1(X272)
| c2_1(X272)
| ~ c3_1(X272)
| ~ ndr1_0
| ~ c1_1(X273)
| ~ c2_1(X273)
| ~ c3_1(X273) )
& ( ~ ndr1_0
| c0_1(X274)
| c3_1(X274)
| ~ c1_1(X274)
| ~ ndr1_0
| c1_1(X275)
| c3_1(X275)
| ~ c2_1(X275)
| hskp7 )
& ( ~ ndr1_0
| c0_1(X276)
| c3_1(X276)
| ~ c1_1(X276)
| ~ ndr1_0
| c1_1(X277)
| ~ c0_1(X277)
| ~ c3_1(X277)
| ~ ndr1_0
| c3_1(X278)
| ~ c0_1(X278)
| ~ c2_1(X278) )
& ( ~ ndr1_0
| c0_1(X279)
| c3_1(X279)
| ~ c1_1(X279)
| ~ ndr1_0
| ~ c0_1(X280)
| ~ c2_1(X280)
| ~ c3_1(X280)
| hskp6 )
& ( ~ ndr1_0
| c0_1(X281)
| c3_1(X281)
| ~ c1_1(X281)
| hskp6
| hskp12 )
& ( ~ ndr1_0
| c0_1(X282)
| c3_1(X282)
| ~ c2_1(X282)
| ~ ndr1_0
| c1_1(X283)
| ~ c0_1(X283)
| ~ c2_1(X283)
| ~ ndr1_0
| c2_1(X284)
| c3_1(X284)
| ~ c0_1(X284) )
& ( ~ ndr1_0
| c0_1(X285)
| c3_1(X285)
| ~ c2_1(X285)
| ~ ndr1_0
| c1_1(X286)
| ~ c0_1(X286)
| ~ c3_1(X286)
| hskp11 )
& ( ~ ndr1_0
| c0_1(X287)
| c3_1(X287)
| ~ c2_1(X287)
| hskp2
| hskp1 )
& ( ~ ndr1_0
| c0_1(X288)
| ~ c1_1(X288)
| ~ c2_1(X288)
| ~ ndr1_0
| c1_1(X289)
| c2_1(X289)
| ~ c3_1(X289)
| hskp13 )
& ( ~ ndr1_0
| c0_1(X290)
| ~ c1_1(X290)
| ~ c2_1(X290)
| ~ ndr1_0
| c1_1(X291)
| ~ c2_1(X291)
| ~ c3_1(X291)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X292)
| ~ c1_1(X292)
| ~ c2_1(X292)
| ~ ndr1_0
| c2_1(X293)
| ~ c0_1(X293)
| ~ c3_1(X293)
| hskp14 )
& ( ~ ndr1_0
| c0_1(X294)
| ~ c1_1(X294)
| ~ c3_1(X294)
| ~ ndr1_0
| c0_1(X295)
| ~ c2_1(X295)
| ~ c3_1(X295)
| ~ ndr1_0
| ~ c1_1(X296)
| ~ c2_1(X296)
| ~ c3_1(X296) )
& ( ~ ndr1_0
| c0_1(X297)
| ~ c1_1(X297)
| ~ c3_1(X297)
| ~ ndr1_0
| c1_1(X298)
| ~ c0_1(X298)
| ~ c3_1(X298)
| hskp15 )
& ( ~ ndr1_0
| c0_1(X299)
| ~ c2_1(X299)
| ~ c3_1(X299)
| ~ ndr1_0
| c2_1(X300)
| c3_1(X300)
| ~ c1_1(X300)
| hskp9 )
& ( ~ ndr1_0
| c1_1(X301)
| c2_1(X301)
| c3_1(X301)
| ~ ndr1_0
| c1_1(X302)
| c3_1(X302)
| ~ c0_1(X302)
| hskp13 )
& ( ~ ndr1_0
| c1_1(X303)
| c2_1(X303)
| c3_1(X303)
| ~ ndr1_0
| c1_1(X304)
| ~ c0_1(X304)
| ~ c2_1(X304)
| hskp27 )
& ( ~ ndr1_0
| c1_1(X305)
| c2_1(X305)
| c3_1(X305)
| ~ ndr1_0
| c2_1(X306)
| c3_1(X306)
| ~ c1_1(X306)
| hskp16 )
& ( ~ ndr1_0
| c1_1(X307)
| c2_1(X307)
| c3_1(X307)
| ~ ndr1_0
| c2_1(X308)
| ~ c0_1(X308)
| ~ c3_1(X308)
| hskp12 )
& ( ~ ndr1_0
| c1_1(X309)
| c2_1(X309)
| c3_1(X309)
| ~ ndr1_0
| c3_1(X310)
| ~ c0_1(X310)
| ~ c1_1(X310)
| hskp17 )
& ( ~ ndr1_0
| c1_1(X311)
| c2_1(X311)
| ~ c3_1(X311)
| hskp28
| hskp8 )
& ( ~ ndr1_0
| c1_1(X312)
| c2_1(X312)
| ~ c3_1(X312)
| hskp10
| hskp18 )
& ( ~ ndr1_0
| c1_1(X313)
| c3_1(X313)
| ~ c0_1(X313)
| ~ ndr1_0
| c1_1(X314)
| ~ c0_1(X314)
| ~ c2_1(X314)
| hskp19 )
& ( ~ ndr1_0
| c1_1(X315)
| c3_1(X315)
| ~ c0_1(X315)
| ~ ndr1_0
| c2_1(X316)
| c3_1(X316)
| ~ c0_1(X316)
| hskp20 )
& ( ~ ndr1_0
| c1_1(X317)
| c3_1(X317)
| ~ c0_1(X317)
| ~ ndr1_0
| c3_1(X318)
| ~ c1_1(X318)
| ~ c2_1(X318)
| hskp10 )
& ( ~ ndr1_0
| c1_1(X319)
| c3_1(X319)
| ~ c0_1(X319)
| hskp29
| hskp21 )
& ( ~ ndr1_0
| c1_1(X320)
| ~ c0_1(X320)
| ~ c2_1(X320)
| ~ ndr1_0
| c1_1(X321)
| ~ c2_1(X321)
| ~ c3_1(X321)
| hskp6 )
& ( ~ ndr1_0
| c1_1(X322)
| ~ c0_1(X322)
| ~ c3_1(X322)
| ~ ndr1_0
| c2_1(X323)
| c3_1(X323)
| ~ c1_1(X323)
| hskp22 )
& ( ~ ndr1_0
| c1_1(X324)
| ~ c0_1(X324)
| ~ c3_1(X324)
| ~ ndr1_0
| c2_1(X325)
| ~ c0_1(X325)
| ~ c1_1(X325)
| ~ ndr1_0
| ~ c1_1(X326)
| ~ c2_1(X326)
| ~ c3_1(X326) )
& ( ~ ndr1_0
| c1_1(X327)
| ~ c0_1(X327)
| ~ c3_1(X327)
| hskp23 )
& ( ~ ndr1_0
| c1_1(X328)
| ~ c0_1(X328)
| ~ c3_1(X328)
| hskp24
| hskp15 )
& ( ~ ndr1_0
| c1_1(X329)
| ~ c2_1(X329)
| ~ c3_1(X329)
| ~ ndr1_0
| c2_1(X330)
| ~ c0_1(X330)
| ~ c3_1(X330)
| ~ ndr1_0
| c3_1(X331)
| ~ c1_1(X331)
| ~ c2_1(X331) )
& ( ~ ndr1_0
| c2_1(X332)
| c3_1(X332)
| ~ c0_1(X332)
| hskp3
| hskp25 )
& ( ~ ndr1_0
| c2_1(X333)
| c3_1(X333)
| ~ c1_1(X333)
| ~ ndr1_0
| c3_1(X334)
| ~ c0_1(X334)
| ~ c2_1(X334)
| hskp15 )
& ( ~ ndr1_0
| c2_1(X335)
| ~ c0_1(X335)
| ~ c1_1(X335)
| ~ ndr1_0
| ~ c0_1(X336)
| ~ c2_1(X336)
| ~ c3_1(X336)
| hskp6 )
& ( ~ ndr1_0
| c2_1(X337)
| ~ c0_1(X337)
| ~ c1_1(X337)
| hskp8
| hskp26 )
& ( ~ ndr1_0
| c2_1(X338)
| ~ c0_1(X338)
| ~ c1_1(X338)
| hskp6
| hskp13 )
& ( ~ ndr1_0
| c2_1(X339)
| ~ c0_1(X339)
| ~ c3_1(X339)
| hskp23
| hskp3 )
& ( ~ ndr1_0
| c2_1(X340)
| ~ c1_1(X340)
| ~ c3_1(X340)
| hskp6
| hskp22 )
& ( ~ ndr1_0
| c3_1(X341)
| ~ c0_1(X341)
| ~ c1_1(X341)
| hskp4
| hskp19 )
& ( ~ ndr1_0
| c3_1(X342)
| ~ c0_1(X342)
| ~ c2_1(X342)
| ~ ndr1_0
| ~ c0_1(X343)
| ~ c1_1(X343)
| ~ c2_1(X343)
| hskp17 )
& ( ~ ndr1_0
| c3_1(X344)
| ~ c1_1(X344)
| ~ c2_1(X344)
| hskp23
| hskp4 )
& ( ~ ndr1_0
| ~ c0_1(X345)
| ~ c1_1(X345)
| ~ c2_1(X345)
| hskp9
| hskp12 )
& ( ~ ndr1_0
| ~ c0_1(X346)
| ~ c1_1(X346)
| ~ c2_1(X346)
| hskp7 )
& ( ~ ndr1_0
| ~ c0_1(X347)
| ~ c2_1(X347)
| ~ c3_1(X347)
| hskp24
| hskp3 )
& ( ~ ndr1_0
| ~ c0_1(X348)
| ~ c2_1(X348)
| ~ c3_1(X348)
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
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
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp29
| hskp3
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( hskp7
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_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,
( ~ epred20_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| hskp20
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_10,plain,
( ~ epred62_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( ~ epred24_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_12,plain,
( ~ epred17_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_13,plain,
( ~ epred54_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_14,plain,
( ~ epred10_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp6
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_15,plain,
( ~ epred44_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( ~ epred25_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( ~ epred26_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| hskp4
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_18,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_19,plain,
( ~ epred33_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_20,plain,
( ~ epred18_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp17
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_21,negated_conjecture,
( c1_1(X1)
| hskp23
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_22,plain,
( ~ epred15_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| hskp8
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( ~ epred60_0
<=> ! [X3] :
( c2_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_24,plain,
( ~ epred12_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| hskp7
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_25,plain,
( ~ epred23_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_26,plain,
( ~ epred7_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_27,negated_conjecture,
( hskp7
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_28,negated_conjecture,
( c0_1(a1000)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( c2_1(a1000)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( epred20_0
| hskp20
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_8])]) ).
cnf(c_0_31,negated_conjecture,
( ~ c3_1(a1000)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_32,plain,
( ~ epred13_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| hskp7
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_33,negated_conjecture,
( epred62_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_10]) ).
cnf(c_0_34,negated_conjecture,
( c3_1(a1045)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( c1_1(a1045)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( epred24_0
| c2_1(X1)
| c0_1(X1)
| hskp0
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_11]),c_0_8])]) ).
cnf(c_0_37,negated_conjecture,
( ~ c0_1(a1045)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_38,plain,
( ~ epred58_0
<=> ! [X2] :
( c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_39,plain,
( ~ epred59_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_40,plain,
( ~ epred14_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_41,negated_conjecture,
( epred17_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
( c3_1(a1006)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_43,negated_conjecture,
( c0_1(a1006)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( ~ c2_1(a1006)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( epred54_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
( epred10_0
| hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_14]),c_0_8])]) ).
cnf(c_0_47,negated_conjecture,
( c2_1(X1)
| hskp8
| hskp26
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_48,plain,
( ~ epred9_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_49,plain,
( ~ epred34_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| hskp13
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_50,plain,
( ~ epred3_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp13
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_51,negated_conjecture,
( epred44_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_52,negated_conjecture,
( c3_1(a1015)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( ~ c1_1(a1015)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( ~ c0_1(a1015)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_55,plain,
( ~ epred32_0
<=> ! [X2] :
( c1_1(X2)
| hskp11
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_56,negated_conjecture,
( ~ c0_1(a1041)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,negated_conjecture,
( epred25_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_58,negated_conjecture,
( c2_1(a1041)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_59,negated_conjecture,
( epred26_0
| hskp4
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_8])]) ).
cnf(c_0_60,negated_conjecture,
( epred4_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_18]) ).
fof(c_0_61,plain,
( ~ epred11_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_62,negated_conjecture,
( ~ c3_1(a1037)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_63,negated_conjecture,
( epred33_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
cnf(c_0_64,negated_conjecture,
( ~ c0_1(a1037)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_65,negated_conjecture,
( epred18_0
| hskp17
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_20]),c_0_8])]) ).
cnf(c_0_66,negated_conjecture,
( ~ c1_1(a1037)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_67,plain,
( ~ epred19_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_68,negated_conjecture,
( hskp23
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_8])]) ).
cnf(c_0_69,negated_conjecture,
( c3_1(a1010)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_70,negated_conjecture,
( c0_1(a1010)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_71,negated_conjecture,
( ~ c1_1(a1010)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_72,negated_conjecture,
( epred15_0
| hskp8
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_22]),c_0_8])]) ).
cnf(c_0_73,negated_conjecture,
( c2_1(a1008)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_74,negated_conjecture,
( ~ c3_1(a1008)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_75,negated_conjecture,
( ~ c1_1(a1008)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_76,negated_conjecture,
( c0_1(a1040)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_77,negated_conjecture,
( c1_1(a1040)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_78,negated_conjecture,
( epred60_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_23]) ).
cnf(c_0_79,negated_conjecture,
( epred12_0
| hskp7
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_24]),c_0_8])]) ).
cnf(c_0_80,negated_conjecture,
( c3_1(a1023)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_81,negated_conjecture,
( ~ c2_1(a1023)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,negated_conjecture,
( ~ c1_1(a1023)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_83,negated_conjecture,
( c0_1(a1044)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,negated_conjecture,
( c1_1(a1044)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,negated_conjecture,
( c0_1(a1029)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_86,negated_conjecture,
( c2_1(a1029)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_87,negated_conjecture,
( c3_1(a1029)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_88,plain,
( ~ epred6_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_89,plain,
( ~ epred21_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_90,negated_conjecture,
( epred23_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_25]) ).
fof(c_0_91,plain,
( ~ epred51_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_92,negated_conjecture,
( epred7_0
| hskp3
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_26]),c_0_8])]) ).
fof(c_0_93,plain,
( ~ epred36_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_94,plain,
( ~ epred29_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_95,plain,
( ~ epred8_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| hskp4
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_96,negated_conjecture,
( hskp7
| ~ c1_1(a1000)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_97,negated_conjecture,
( epred20_0
| hskp20
| c1_1(a1000)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_31]) ).
cnf(c_0_98,negated_conjecture,
( c1_1(a1003)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_99,negated_conjecture,
( ~ c0_1(a1003)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_100,negated_conjecture,
( ~ c2_1(a1003)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_101,negated_conjecture,
( epred13_0
| hskp7
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_32]),c_0_8])]) ).
cnf(c_0_102,negated_conjecture,
( epred62_0
| ~ hskp24
| ~ c2_1(a1045) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_103,negated_conjecture,
( epred24_0
| c2_1(a1045)
| hskp0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_37]) ).
cnf(c_0_104,negated_conjecture,
( epred58_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_38]),c_0_8])]) ).
cnf(c_0_105,negated_conjecture,
( epred59_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_39]),c_0_8])]) ).
cnf(c_0_106,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp8
| hskp7
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_107,negated_conjecture,
( c3_1(a1052)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_108,negated_conjecture,
( ~ c2_1(a1052)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_109,negated_conjecture,
( epred14_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_40]) ).
cnf(c_0_110,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp29
| hskp21
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_111,plain,
( ~ epred37_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| hskp19
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_112,negated_conjecture,
( epred17_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_113,negated_conjecture,
( epred54_0
| epred10_0
| hskp6
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_114,negated_conjecture,
( ~ c3_1(a1004)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_115,negated_conjecture,
( c1_1(a1004)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_116,negated_conjecture,
( hskp26
| hskp8
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_8])]) ).
cnf(c_0_117,negated_conjecture,
( epred9_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_118,negated_conjecture,
( epred34_0
| hskp13
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_49]),c_0_8])]) ).
cnf(c_0_119,negated_conjecture,
( epred3_0
| hskp13
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_50]),c_0_8])]) ).
cnf(c_0_120,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp25
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_121,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp28
| hskp8
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_122,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp15
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_123,negated_conjecture,
( hskp24
| hskp3
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_124,plain,
( ~ epred65_0
<=> ! [X1] :
( c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_125,plain,
( ~ epred64_0
<=> ! [X1] :
( c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_126,plain,
( ~ epred63_0
<=> ! [X2] :
( c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred56_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred55_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_129,plain,
( ~ epred46_0
<=> ! [X2] :
( c2_1(X2)
| hskp14
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_130,plain,
( ~ epred43_0
<=> ! [X1] :
( c1_1(X1)
| hskp6
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_131,negated_conjecture,
( epred44_0
| ~ hskp11
| ~ c2_1(a1015) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_132,negated_conjecture,
( epred54_0
| c2_1(a1015)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_54]) ).
cnf(c_0_133,negated_conjecture,
( epred32_0
| hskp11
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_55]),c_0_8])]) ).
cnf(c_0_134,negated_conjecture,
( epred25_0
| ~ hskp21
| ~ c1_1(a1041) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_135,negated_conjecture,
( epred26_0
| hskp4
| c1_1(a1041)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_56]) ).
cnf(c_0_136,negated_conjecture,
( epred25_0
| hskp7
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_57]) ).
cnf(c_0_137,negated_conjecture,
( c2_1(a1004)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_138,negated_conjecture,
( epred4_0
| c1_1(a1000)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_28]) ).
cnf(c_0_139,negated_conjecture,
( epred11_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
cnf(c_0_140,negated_conjecture,
( c3_1(a1032)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_141,negated_conjecture,
( c2_1(a1032)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_142,negated_conjecture,
( ~ c0_1(a1032)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_143,negated_conjecture,
( epred33_0
| ~ hskp19
| ~ c2_1(a1037) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_144,negated_conjecture,
( epred18_0
| hskp17
| c2_1(a1037)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_65]),c_0_66]) ).
fof(c_0_145,plain,
( ~ epred16_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp12
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_146,negated_conjecture,
( ~ c3_1(a1044)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_147,negated_conjecture,
( epred19_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_67]) ).
cnf(c_0_148,negated_conjecture,
( hskp23
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_149,negated_conjecture,
( epred15_0
| hskp8
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]) ).
cnf(c_0_150,negated_conjecture,
( hskp7
| ~ hskp29
| ~ c2_1(a1040) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_76]),c_0_77]) ).
cnf(c_0_151,negated_conjecture,
( epred60_0
| c2_1(a1040)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_76]),c_0_77]) ).
cnf(c_0_152,negated_conjecture,
( epred12_0
| hskp7
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_153,negated_conjecture,
( hskp29
| hskp23
| hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_154,negated_conjecture,
( hskp7
| ~ hskp23
| ~ c2_1(a1044) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_83]),c_0_84]) ).
cnf(c_0_155,negated_conjecture,
( epred60_0
| c2_1(a1044)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_83]),c_0_84]) ).
cnf(c_0_156,negated_conjecture,
( hskp7
| ~ hskp27
| ~ c1_1(a1029) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_85]),c_0_86]) ).
cnf(c_0_157,negated_conjecture,
( hskp23
| c1_1(a1029)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_87]),c_0_85]) ).
cnf(c_0_158,negated_conjecture,
( epred6_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_88]) ).
cnf(c_0_159,negated_conjecture,
( epred21_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_89]) ).
cnf(c_0_160,negated_conjecture,
( epred23_0
| c1_1(a1029)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_85]),c_0_86]) ).
cnf(c_0_161,negated_conjecture,
( c3_1(a1040)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_162,plain,
( ~ epred57_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_163,negated_conjecture,
( epred51_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_91]) ).
cnf(c_0_164,negated_conjecture,
( epred7_0
| hskp3
| c1_1(a1041)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_58]),c_0_56]) ).
cnf(c_0_165,negated_conjecture,
( epred36_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_93]) ).
cnf(c_0_166,negated_conjecture,
( epred29_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_94]) ).
cnf(c_0_167,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_168,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_169,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_170,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_171,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_172,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_173,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_174,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_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_175,negated_conjecture,
( c0_1(X1)
| c2_1(X2)
| hskp14
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_176,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| hskp6
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_177,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp19
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_178,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp13
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_179,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp11
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_180,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| hskp4
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_181,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| hskp0
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_182,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp20
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_183,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| hskp17
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_184,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c2_1(X2)
| hskp12
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_185,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp8
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_186,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp7
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_187,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp7
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_188,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp6
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_189,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp4
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_190,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_191,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp13
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_192,negated_conjecture,
( epred8_0
| hskp4
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_95]),c_0_8])]) ).
cnf(c_0_193,negated_conjecture,
( epred26_0
| hskp4
| c0_1(a1008)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_73]),c_0_75]) ).
cnf(c_0_194,negated_conjecture,
( epred20_0
| hskp20
| hskp7
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_195,negated_conjecture,
( epred24_0
| hskp0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_196,negated_conjecture,
( epred13_0
| hskp7
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_29]),c_0_31]),c_0_96]) ).
cnf(c_0_197,negated_conjecture,
( epred62_0
| epred24_0
| hskp0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_198,negated_conjecture,
( epred59_0
| epred58_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_199,negated_conjecture,
( epred12_0
| hskp7
| c2_1(a1010)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_69]),c_0_71]) ).
cnf(c_0_200,negated_conjecture,
( hskp8
| hskp7
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_8])]) ).
cnf(c_0_201,negated_conjecture,
( epred12_0
| hskp7
| c1_1(a1052)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_107]),c_0_108]) ).
cnf(c_0_202,negated_conjecture,
( epred54_0
| epred14_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_109]) ).
cnf(c_0_203,negated_conjecture,
( hskp29
| hskp21
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_8])]) ).
cnf(c_0_204,negated_conjecture,
( epred33_0
| c0_1(a1008)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_63]),c_0_73]) ).
cnf(c_0_205,negated_conjecture,
( epred37_0
| hskp19
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_8])]) ).
cnf(c_0_206,negated_conjecture,
( epred54_0
| epred17_0
| epred10_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_207,negated_conjecture,
( epred14_0
| c0_1(a1004)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_109]),c_0_115]) ).
cnf(c_0_208,negated_conjecture,
( epred9_0
| hskp26
| hskp8
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_209,negated_conjecture,
( ~ c2_1(a1038)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_210,negated_conjecture,
( epred34_0
| epred3_0
| hskp13
| c1_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_211,negated_conjecture,
( hskp25
| hskp3
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_8])]) ).
cnf(c_0_212,negated_conjecture,
( hskp28
| hskp8
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_8])]) ).
cnf(c_0_213,negated_conjecture,
( hskp24
| hskp15
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_8])]) ).
cnf(c_0_214,negated_conjecture,
( hskp24
| hskp3
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_8])]) ).
cnf(c_0_215,negated_conjecture,
( epred65_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_124]),c_0_8])]) ).
cnf(c_0_216,negated_conjecture,
( epred64_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_8])]) ).
cnf(c_0_217,negated_conjecture,
( epred63_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_8])]) ).
cnf(c_0_218,negated_conjecture,
( epred56_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_8])]) ).
cnf(c_0_219,negated_conjecture,
( epred55_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_8])]) ).
cnf(c_0_220,negated_conjecture,
( epred46_0
| hskp14
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_8])]) ).
cnf(c_0_221,negated_conjecture,
( epred43_0
| hskp6
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_130]),c_0_8])]) ).
cnf(c_0_222,negated_conjecture,
( epred54_0
| epred44_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_223,negated_conjecture,
( epred32_0
| hskp11
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_224,negated_conjecture,
( epred26_0
| epred25_0
| hskp4
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_225,negated_conjecture,
( hskp4
| hskp21
| hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_226,negated_conjecture,
( epred25_0
| hskp7
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_115]) ).
cnf(c_0_227,negated_conjecture,
( epred4_0
| hskp7
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_96,c_0_138]) ).
cnf(c_0_228,negated_conjecture,
( epred11_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_142]) ).
cnf(c_0_229,negated_conjecture,
( epred33_0
| epred18_0
| hskp17
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_230,negated_conjecture,
( epred16_0
| hskp12
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_8])]) ).
cnf(c_0_231,negated_conjecture,
( epred19_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_83]),c_0_84]) ).
cnf(c_0_232,negated_conjecture,
( epred15_0
| hskp23
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_233,negated_conjecture,
( epred60_0
| hskp7
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_234,negated_conjecture,
( epred12_0
| hskp29
| hskp23
| hskp7 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_235,negated_conjecture,
( epred60_0
| hskp7
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_236,negated_conjecture,
( epred10_0
| hskp6
| c2_1(a1037)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_46]),c_0_64]) ).
cnf(c_0_237,negated_conjecture,
( hskp23
| hskp7
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_238,negated_conjecture,
( hskp27
| hskp7
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_239,negated_conjecture,
( epred6_0
| c2_1(a1044)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_158]),c_0_84]) ).
cnf(c_0_240,negated_conjecture,
( epred21_0
| c2_1(a1044)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_159]),c_0_83]) ).
cnf(c_0_241,negated_conjecture,
( epred23_0
| hskp7
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_156,c_0_160]) ).
cnf(c_0_242,negated_conjecture,
( c0_1(a1033)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_243,negated_conjecture,
( c2_1(a1033)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_244,negated_conjecture,
( c1_1(a1033)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_245,negated_conjecture,
( epred17_0
| c2_1(a1040)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_161]),c_0_76]) ).
cnf(c_0_246,negated_conjecture,
( epred57_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_162]) ).
cnf(c_0_247,negated_conjecture,
( epred11_0
| ~ hskp11
| ~ c2_1(a1015) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_52]),c_0_54]) ).
cnf(c_0_248,negated_conjecture,
( epred11_0
| ~ hskp24
| ~ c2_1(a1045) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_34]),c_0_37]) ).
cnf(c_0_249,negated_conjecture,
( epred54_0
| c2_1(a1045)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_34]),c_0_37]) ).
cnf(c_0_250,negated_conjecture,
( ~ c0_1(a1052)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_251,negated_conjecture,
( epred51_0
| c2_1(a1037)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_163]),c_0_64]) ).
cnf(c_0_252,negated_conjecture,
( c2_1(a1026)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_253,negated_conjecture,
( ~ c0_1(a1026)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_254,negated_conjecture,
( ~ c1_1(a1026)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_255,negated_conjecture,
( epred25_0
| epred7_0
| hskp3
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_134,c_0_164]) ).
cnf(c_0_256,negated_conjecture,
( epred36_0
| ~ hskp23
| ~ c2_1(a1044) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_165]),c_0_83]) ).
cnf(c_0_257,negated_conjecture,
( ~ c3_1(a1041)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_258,negated_conjecture,
( epred29_0
| ~ hskp23
| ~ c2_1(a1044) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_166]),c_0_84]) ).
cnf(c_0_259,negated_conjecture,
( ~ c0_1(a1019)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_260,negated_conjecture,
( c2_1(a1019)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_261,negated_conjecture,
( c1_1(a1019)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_262,negated_conjecture,
( ~ c3_1(a1025)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_263,negated_conjecture,
( c0_1(a1025)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_264,negated_conjecture,
( ~ c2_1(a1025)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_265,negated_conjecture,
( ~ c3_1(a1048)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_266,negated_conjecture,
( c1_1(a1048)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_267,negated_conjecture,
( ~ c0_1(a1048)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_268,negated_conjecture,
( epred9_0
| c2_1(a1045)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_117]),c_0_35]) ).
cnf(c_0_269,negated_conjecture,
( epred54_0
| epred51_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_163]) ).
cnf(c_0_270,negated_conjecture,
( c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c1_1(X3)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_167]) ).
cnf(c_0_271,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X3)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_168]) ).
cnf(c_0_272,negated_conjecture,
( c2_1(X2)
| c3_1(X3)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X3) ),
inference(cn,[status(thm)],[c_0_169]) ).
cnf(c_0_273,negated_conjecture,
( c0_1(X1)
| c3_1(X3)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_170]) ).
cnf(c_0_274,negated_conjecture,
( c0_1(X1)
| c2_1(X3)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X3) ),
inference(cn,[status(thm)],[c_0_171]) ).
cnf(c_0_275,negated_conjecture,
( c0_1(X1)
| c2_1(X3)
| c3_1(X3)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_172]) ).
cnf(c_0_276,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c3_1(X3)
| c1_1(X3)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_173]) ).
cnf(c_0_277,negated_conjecture,
( c0_1(X1)
| c2_1(X3)
| c2_1(X1)
| c3_1(X3)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_174]) ).
cnf(c_0_278,negated_conjecture,
( hskp14
| c0_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_175]) ).
cnf(c_0_279,negated_conjecture,
( hskp6
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_176]) ).
cnf(c_0_280,negated_conjecture,
( hskp19
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_177]) ).
cnf(c_0_281,negated_conjecture,
( hskp13
| c0_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_178]) ).
cnf(c_0_282,negated_conjecture,
( hskp11
| c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_179]) ).
cnf(c_0_283,negated_conjecture,
( hskp4
| c0_1(X1)
| c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_180]) ).
cnf(c_0_284,negated_conjecture,
( hskp0
| c0_1(X2)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_181]) ).
cnf(c_0_285,negated_conjecture,
( hskp20
| c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_182]) ).
cnf(c_0_286,negated_conjecture,
( hskp17
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_183]) ).
cnf(c_0_287,negated_conjecture,
( hskp12
| c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_184]) ).
cnf(c_0_288,negated_conjecture,
( hskp8
| c0_1(X1)
| c2_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_185]) ).
cnf(c_0_289,negated_conjecture,
( hskp7
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_186]) ).
cnf(c_0_290,negated_conjecture,
( hskp7
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_187]) ).
cnf(c_0_291,negated_conjecture,
( hskp6
| c0_1(X2)
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_188]) ).
cnf(c_0_292,negated_conjecture,
( hskp4
| c0_1(X1)
| c2_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_189]) ).
cnf(c_0_293,negated_conjecture,
( hskp3
| c0_1(X1)
| c2_1(X2)
| c3_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_190]) ).
cnf(c_0_294,negated_conjecture,
( hskp13
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_191]) ).
cnf(c_0_295,negated_conjecture,
( epred8_0
| hskp4
| c1_1(a1008)
| c3_1(a1008)
| epred26_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_296,negated_conjecture,
( epred20_0
| hskp20
| hskp7
| epred24_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_297,negated_conjecture,
( epred13_0
| hskp7
| epred62_0
| epred24_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_298,negated_conjecture,
( epred59_0
| epred58_0
| c1_1(a1010)
| epred12_0
| hskp7
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_299,negated_conjecture,
( hskp8
| hskp7
| c2_1(a1052)
| c0_1(a1052)
| epred12_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_300,negated_conjecture,
( epred54_0
| epred14_0
| c2_1(a1003)
| ~ hskp3
| ~ c1_1(a1003) ),
inference(spm,[status(thm)],[c_0_99,c_0_202]) ).
cnf(c_0_301,negated_conjecture,
( epred7_0
| hskp3
| c1_1(a1015)
| c0_1(a1015)
| epred54_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_92,c_0_132]) ).
cnf(c_0_302,negated_conjecture,
( hskp29
| hskp21
| c1_1(a1008)
| c3_1(a1008)
| epred33_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_303,negated_conjecture,
( epred37_0
| hskp19
| c1_1(a1008)
| c3_1(a1008)
| epred33_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_205,c_0_204]) ).
cnf(c_0_304,negated_conjecture,
( epred23_0
| c1_1(a1008)
| epred33_0
| ~ c2_1(a1008)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_90,c_0_204]) ).
cnf(c_0_305,negated_conjecture,
( epred54_0
| epred17_0
| epred10_0
| c2_1(a1003)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_99,c_0_206]) ).
cnf(c_0_306,negated_conjecture,
( hskp7
| epred14_0
| ~ c1_1(a1004)
| ~ c2_1(a1004)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_27,c_0_207]) ).
cnf(c_0_307,negated_conjecture,
( epred9_0
| hskp26
| hskp8
| c2_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_208,c_0_77]) ).
cnf(c_0_308,negated_conjecture,
( epred34_0
| epred3_0
| hskp13
| c1_1(a1038)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_309,negated_conjecture,
( hskp25
| hskp3
| c3_1(a1044)
| c2_1(a1044)
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_211,c_0_83]) ).
cnf(c_0_310,negated_conjecture,
( hskp8
| hskp7
| c2_1(a1003)
| c0_1(a1003)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_200,c_0_98]) ).
cnf(c_0_311,negated_conjecture,
( hskp28
| hskp8
| c1_1(a1052)
| c2_1(a1052)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_212,c_0_107]) ).
cnf(c_0_312,negated_conjecture,
( hskp26
| hskp8
| c2_1(a1040)
| ~ c1_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_116,c_0_76]) ).
cnf(c_0_313,negated_conjecture,
( hskp24
| hskp15
| c1_1(a1010)
| ~ c0_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_213,c_0_69]) ).
cnf(c_0_314,negated_conjecture,
( hskp24
| hskp3
| ~ c2_1(a1040)
| ~ c0_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_214,c_0_161]) ).
cnf(c_0_315,negated_conjecture,
( epred65_0
| c0_1(a1045)
| ~ c1_1(a1045)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_215,c_0_34]) ).
cnf(c_0_316,negated_conjecture,
( epred64_0
| c1_1(a1015)
| ~ c2_1(a1015)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_216,c_0_52]) ).
cnf(c_0_317,negated_conjecture,
( epred63_0
| c1_1(a1010)
| ~ c0_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_217,c_0_69]) ).
cnf(c_0_318,negated_conjecture,
( epred58_0
| c1_1(a1010)
| ~ c2_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_104,c_0_70]) ).
cnf(c_0_319,negated_conjecture,
( epred56_0
| c1_1(a1015)
| c0_1(a1015)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_218,c_0_52]) ).
cnf(c_0_320,negated_conjecture,
( epred56_0
| c1_1(a1052)
| c0_1(a1052)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_218,c_0_107]) ).
cnf(c_0_321,negated_conjecture,
( epred55_0
| c1_1(a1008)
| ~ hskp7
| ~ c2_1(a1008) ),
inference(spm,[status(thm)],[c_0_74,c_0_219]) ).
cnf(c_0_322,negated_conjecture,
( epred46_0
| hskp14
| c2_1(a1006)
| ~ c0_1(a1006)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_220,c_0_42]) ).
cnf(c_0_323,negated_conjecture,
( epred46_0
| hskp14
| c2_1(a1040)
| ~ c0_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_220,c_0_161]) ).
cnf(c_0_324,negated_conjecture,
( epred43_0
| hskp6
| c1_1(a1010)
| ~ c2_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_221,c_0_70]) ).
cnf(c_0_325,negated_conjecture,
( epred54_0
| epred44_0
| epred32_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_326,negated_conjecture,
( epred26_0
| epred25_0
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
cnf(c_0_327,negated_conjecture,
( epred24_0
| epred4_0
| hskp7
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_227,c_0_195]) ).
cnf(c_0_328,negated_conjecture,
( epred24_0
| epred13_0
| hskp7
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_196,c_0_195]) ).
cnf(c_0_329,negated_conjecture,
( epred33_0
| epred18_0
| epred11_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_330,negated_conjecture,
( epred16_0
| hskp12
| c2_1(a1037)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_230]),c_0_66]) ).
cnf(c_0_331,negated_conjecture,
( epred19_0
| epred15_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_332,negated_conjecture,
( epred60_0
| epred12_0
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_333,negated_conjecture,
( epred33_0
| epred10_0
| hskp6
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_143,c_0_236]) ).
cnf(c_0_334,negated_conjecture,
( hskp26
| hskp23
| hskp7 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_335,negated_conjecture,
( epred6_0
| hskp7
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_154,c_0_239]) ).
cnf(c_0_336,negated_conjecture,
( epred21_0
| hskp7
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_154,c_0_240]) ).
cnf(c_0_337,negated_conjecture,
( epred23_0
| hskp26
| hskp7 ),
inference(spm,[status(thm)],[c_0_241,c_0_238]) ).
cnf(c_0_338,negated_conjecture,
( hskp7
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_242]),c_0_243]),c_0_244]) ).
cnf(c_0_339,negated_conjecture,
( epred17_0
| hskp7
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_150,c_0_245]) ).
cnf(c_0_340,negated_conjecture,
( epred62_0
| ~ hskp29
| ~ c2_1(a1040) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_161]),c_0_77]) ).
cnf(c_0_341,negated_conjecture,
( epred57_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_246]),c_0_73]),c_0_75]) ).
cnf(c_0_342,negated_conjecture,
( epred54_0
| epred11_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_247,c_0_132]) ).
cnf(c_0_343,negated_conjecture,
( epred54_0
| epred11_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_344,negated_conjecture,
( epred54_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_107]),c_0_250]),c_0_108]) ).
cnf(c_0_345,negated_conjecture,
( epred51_0
| epred33_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_143,c_0_251]) ).
cnf(c_0_346,negated_conjecture,
( epred7_0
| hskp3
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_252]),c_0_253]),c_0_254]) ).
cnf(c_0_347,negated_conjecture,
( epred25_0
| epred7_0
| hskp7
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_225]),c_0_226]) ).
cnf(c_0_348,negated_conjecture,
( epred36_0
| epred21_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_256,c_0_240]) ).
cnf(c_0_349,negated_conjecture,
( epred33_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_63]),c_0_58]),c_0_56]) ).
cnf(c_0_350,negated_conjecture,
( epred29_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_166]),c_0_137]),c_0_115]) ).
cnf(c_0_351,negated_conjecture,
( epred29_0
| epred6_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_258,c_0_239]) ).
cnf(c_0_352,negated_conjecture,
( epred25_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_57]),c_0_260]),c_0_261]) ).
cnf(c_0_353,negated_conjecture,
( epred21_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_159]),c_0_263]),c_0_264]) ).
cnf(c_0_354,negated_conjecture,
( epred17_0
| c2_1(a1010)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_69]),c_0_70]) ).
cnf(c_0_355,negated_conjecture,
( epred14_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_109]),c_0_266]),c_0_267]) ).
cnf(c_0_356,negated_conjecture,
( epred11_0
| epred9_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_248,c_0_268]) ).
cnf(c_0_357,negated_conjecture,
( epred9_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_117]),c_0_98]),c_0_100]) ).
cnf(c_0_358,negated_conjecture,
( epred9_0
| ~ hskp26
| ~ c1_1(a1052) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_117]),c_0_108]) ).
cnf(c_0_359,negated_conjecture,
( epred54_0
| epred51_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_269]),c_0_100]) ).
cnf(c_0_360,negated_conjecture,
( ~ epred63_0
| ~ epred62_0
| ~ epred60_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_270,c_0_126]),c_0_23]),c_0_10]) ).
cnf(c_0_361,negated_conjecture,
( ~ epred65_0
| ~ epred62_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_271,c_0_124]),c_0_61]),c_0_10]) ).
cnf(c_0_362,negated_conjecture,
( ~ epred64_0
| ~ epred29_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_272,c_0_125]),c_0_94]),c_0_12]) ).
cnf(c_0_363,negated_conjecture,
( ~ epred63_0
| ~ epred36_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_273,c_0_126]),c_0_40]),c_0_93]) ).
cnf(c_0_364,negated_conjecture,
( ~ epred60_0
| ~ epred59_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_274,c_0_39]),c_0_25]),c_0_23]) ).
cnf(c_0_365,negated_conjecture,
( ~ epred58_0
| ~ epred33_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_275,c_0_38]),c_0_19]),c_0_89]) ).
cnf(c_0_366,negated_conjecture,
( ~ epred57_0
| ~ epred56_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_276,c_0_127]),c_0_162]),c_0_13]) ).
cnf(c_0_367,negated_conjecture,
( ~ epred55_0
| ~ epred51_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_277,c_0_128]),c_0_91]),c_0_89]) ).
cnf(c_0_368,negated_conjecture,
( ~ epred46_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_278,c_0_129]),c_0_16]) ).
cnf(c_0_369,negated_conjecture,
( ~ epred44_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_279,c_0_130]),c_0_15]) ).
cnf(c_0_370,negated_conjecture,
( ~ epred37_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_280,c_0_111]),c_0_25]) ).
cnf(c_0_371,negated_conjecture,
( ~ epred34_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_281,c_0_49]),c_0_16]) ).
cnf(c_0_372,negated_conjecture,
( ~ epred33_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_282,c_0_55]),c_0_19]) ).
cnf(c_0_373,negated_conjecture,
( ~ epred26_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_283,c_0_17]),c_0_12]) ).
cnf(c_0_374,negated_conjecture,
( ~ epred25_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_284,c_0_11]),c_0_16]) ).
cnf(c_0_375,negated_conjecture,
( ~ epred21_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_285,c_0_9]),c_0_89]) ).
cnf(c_0_376,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_286,c_0_20]),c_0_67]) ).
cnf(c_0_377,negated_conjecture,
( ~ epred17_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_287,c_0_145]),c_0_12]) ).
cnf(c_0_378,negated_conjecture,
( ~ epred15_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_288,c_0_22]),c_0_48]) ).
cnf(c_0_379,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_289,c_0_32]),c_0_40]) ).
cnf(c_0_380,negated_conjecture,
( ~ epred12_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_290,c_0_24]),c_0_48]) ).
cnf(c_0_381,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_14]),c_0_61]) ).
cnf(c_0_382,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_292,c_0_95]),c_0_48]) ).
cnf(c_0_383,negated_conjecture,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_293,c_0_26]),c_0_88]) ).
cnf(c_0_384,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_294,c_0_50]),c_0_18]) ).
cnf(c_0_385,negated_conjecture,
( ~ c1_1(a1038)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_386,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_295,c_0_296,c_0_297,c_0_298,c_0_299,c_0_300,c_0_301,c_0_302,c_0_303,c_0_304,c_0_305,c_0_306,c_0_307,c_0_308,c_0_309,c_0_310,c_0_311,c_0_312,c_0_313,c_0_314,c_0_315,c_0_316,c_0_317,c_0_318,c_0_319,c_0_320,c_0_321,c_0_322,c_0_323,c_0_324,c_0_325,c_0_223,c_0_326,c_0_327,c_0_328,c_0_329,c_0_330,c_0_331,c_0_232,c_0_149,c_0_199,c_0_332,c_0_234,c_0_152,c_0_333,c_0_148,c_0_334,c_0_235,c_0_335,c_0_336,c_0_154,c_0_337,c_0_338,c_0_339,c_0_150,c_0_340,c_0_341,c_0_342,c_0_132,c_0_343,c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_143,c_0_349,c_0_350,c_0_351,c_0_352,c_0_353,c_0_231,c_0_112,c_0_354,c_0_355,c_0_356,c_0_357,c_0_358,c_0_226,c_0_359,c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,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_108,c_0_250,c_0_37,c_0_146,c_0_385,c_0_53,c_0_54,c_0_71,c_0_75,c_0_74,c_0_44,c_0_100,c_0_99,c_0_77,c_0_35,c_0_115,c_0_98,c_0_73,c_0_137,c_0_76,c_0_70,c_0_43,c_0_225,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN475+1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:35:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 5.91/4.32 % Version : CSE_E---1.7
% 5.91/4.32 % Problem : theBenchmark.p
% 5.91/4.32 % SZS status Theorem for theBenchmark.p
% 5.91/4.32 % SZS output start CNFRefutation
% See solution above
% 5.91/4.34 % Total time : 3.373s
%------------------------------------------------------------------------------