%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN471+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 : n006.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 05:38:38 PM UTC 2026
% Result : Theorem 5.90s 4.31s
% Output : CNFRefutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 482 ( 2 unt; 0 def)
% Number of atoms : 4131 ( 0 equ)
% Maximal formula atoms : 814 ( 8 avg)
% Number of connectives : 5462 (1813 ~;2786 |; 597 &)
% ( 36 <=>; 230 =>; 0 <=; 0 <~>)
% Maximal formula depth : 317 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 74 ( 73 usr; 70 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 539 ( 0 sgn 381 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a593)
& ~ c0_1(a593)
& ~ c3_1(a593) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a594)
& c1_1(a594)
& ~ c3_1(a594) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a596)
& ~ c0_1(a596)
& ~ c1_1(a596) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a597)
& c2_1(a597)
& ~ c3_1(a597) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c0_1(a598)
& ~ c1_1(a598)
& ~ c2_1(a598) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a599)
& c3_1(a599)
& ~ c1_1(a599) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a600)
& ~ c1_1(a600)
& ~ c2_1(a600) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a602)
& c3_1(a602)
& ~ c0_1(a602) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a603)
& ~ c1_1(a603)
& ~ c2_1(a603) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c0_1(a604) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a605)
& c2_1(a605)
& ~ c3_1(a605) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a608)
& ~ c0_1(a608)
& ~ c3_1(a608) ) )
& ( ~ hskp12
| ( ndr1_0
& c2_1(a609)
& ~ c1_1(a609)
& ~ c3_1(a609) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a614)
& ~ c2_1(a614)
& ~ c3_1(a614) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a619)
& ~ c1_1(a619)
& ~ c3_1(a619) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a620)
& ~ c0_1(a620)
& ~ c2_1(a620) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a624)
& c1_1(a624)
& ~ c2_1(a624) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a625)
& ~ c0_1(a625)
& ~ c1_1(a625) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a627)
& ~ c2_1(a627)
& ~ c3_1(a627) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a630)
& c3_1(a630)
& ~ c2_1(a630) ) )
& ( ~ hskp21
| ( ndr1_0
& c0_1(a631)
& c3_1(a631)
& ~ c1_1(a631) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a644)
& ~ c2_1(a644)
& ~ c3_1(a644) ) )
& ( ~ hskp23
| ( ndr1_0
& c3_1(a645)
& ~ c0_1(a645)
& ~ c2_1(a645) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a651)
& c3_1(a651)
& ~ c2_1(a651) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a656)
& c3_1(a656)
& ~ c0_1(a656) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a667)
& ~ c1_1(a667)
& ~ c3_1(a667) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ c1_1(a690)
& ~ c2_1(a690)
& ~ c3_1(a690) ) )
& ( ~ hskp28
| ( ndr1_0
& c1_1(a595)
& c2_1(a595)
& c3_1(a595) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a618)
& c1_1(a618)
& c3_1(a618) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a637)
& c1_1(a637)
& c2_1(a637) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a672)
& c2_1(a672)
& c3_1(a672) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c3_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) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| ~ c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| ~ c0_1(X6)
| ~ c2_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c3_1(X8)
| ~ c0_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11) ) )
| hskp0 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c0_1(X14)
| ~ c1_1(X14)
| ~ c2_1(X14) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c2_1(X17)
| ~ c3_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c1_1(X19)
| ~ c0_1(X19)
| ~ c3_1(X19) ) )
| hskp1 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp28
| hskp2 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c2_1(X21) ) )
| hskp3
| hskp4 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c1_1(X22)
| ~ c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c1_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c3_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c3_1(X27)
| ~ c0_1(X27)
| ~ c1_1(X27) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c2_1(X30)
| ~ c0_1(X30)
| ~ c3_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c1_1(X31)
| ~ c3_1(X31) ) )
| hskp5
| hskp6 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c1_1(X33) ) )
| hskp5 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c2_1(X35)
| c3_1(X35)
| ~ c0_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c2_1(X37)
| c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp7 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| c2_1(X40)
| ~ c0_1(X40) ) )
| hskp8 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c1_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c2_1(X44)
| ~ c1_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) )
| hskp9 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c2_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) )
| hskp10 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49) ) )
| hskp1 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| hskp28 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c3_1(X53)
| ~ c0_1(X53) ) )
| hskp11 )
& ( ! [X54] :
( ndr1_0
=> ( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c2_1(X55)
| ~ c1_1(X55)
| ~ c3_1(X55) ) )
| hskp12 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| c3_1(X56)
| ~ c2_1(X56) ) )
| hskp10
| hskp5 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57) ) )
| hskp28
| hskp7 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c0_1(X59)
| ~ c1_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c2_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c2_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) )
| hskp13 )
& ( ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| ~ c1_1(X64)
| ~ c2_1(X64) ) )
| hskp14 )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| hskp14
| hskp8 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| ~ c1_1(X68)
| ~ c2_1(X68) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| ~ c1_1(X70)
| ~ c2_1(X70) ) )
| hskp29 )
& ( ! [X71] :
( ndr1_0
=> ( c0_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp15
| hskp16 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| hskp14
| hskp4 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c2_1(X73)
| ~ c0_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| ~ c0_1(X74)
| ~ c3_1(X74) ) )
| hskp12 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75) ) )
| hskp17
| hskp18 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c3_1(X76)
| ~ c2_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| hskp18 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) )
| hskp19
| hskp7 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c0_1(X79)
| ~ c2_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp12 )
& ( ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c0_1(X82) ) )
| hskp20 )
& ( ! [X83] :
( ndr1_0
=> ( c1_1(X83)
| ~ c0_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85) ) ) )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c1_1(X87) ) )
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c3_1(X88) ) )
| hskp14
| hskp5 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp13
| hskp12 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| ~ c0_1(X91)
| ~ c1_1(X91) ) )
| hskp29 )
& ( ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| c3_1(X92)
| ~ c0_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp30 )
& ( ! [X94] :
( ndr1_0
=> ( c2_1(X94)
| c3_1(X94)
| ~ c0_1(X94) ) )
| hskp19
| hskp28 )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| c3_1(X95)
| ~ c1_1(X95) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c2_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c2_1(X97)
| ~ c3_1(X97) ) ) )
& ( ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c0_1(X98)
| ~ c1_1(X98) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) )
| hskp18 )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp8
| hskp4 )
& ( ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101) ) )
| hskp4
| hskp22 )
& ( ! [X102] :
( ndr1_0
=> ( c2_1(X102)
| ~ c0_1(X102)
| ~ c3_1(X102) ) )
| hskp23
| hskp22 )
& ( ! [X103] :
( ndr1_0
=> ( c2_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103) ) )
| hskp29
| hskp6 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| ~ c1_1(X104)
| ~ c3_1(X104) ) )
| hskp10
| hskp5 )
& ( ! [X105] :
( ndr1_0
=> ( c3_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp24 )
& ( ! [X107] :
( ndr1_0
=> ( c3_1(X107)
| ~ c0_1(X107)
| ~ c1_1(X107) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c1_1(X108)
| ~ c2_1(X108)
| ~ c3_1(X108) ) )
| hskp17 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109) ) )
| hskp14 )
& ( ! [X110] :
( ndr1_0
=> ( c3_1(X110)
| ~ c0_1(X110)
| ~ c2_1(X110) ) )
| hskp28
| hskp4 )
& ( ! [X111] :
( ndr1_0
=> ( c3_1(X111)
| ~ c0_1(X111)
| ~ c2_1(X111) ) )
| hskp25 )
& ( ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp0
| hskp22 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp29
| hskp16 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp28
| hskp2 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c1_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp5
| hskp18 )
& ( hskp30
| hskp3
| hskp26 )
& ( hskp29
| hskp25
| hskp23 )
& ( hskp1
| hskp31
| hskp24 )
& ( hskp1
| hskp21
| hskp4 )
& ( hskp10
| hskp28
| hskp2 )
& ( hskp10
| hskp9
| hskp12 )
& ( hskp10
| hskp12
| hskp18 )
& ( hskp9
| hskp24 )
& ( hskp3
| hskp13
| hskp27 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a593)
& ~ c0_1(a593)
& ~ c3_1(a593) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a594)
& c1_1(a594)
& ~ c3_1(a594) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a596)
& ~ c0_1(a596)
& ~ c1_1(a596) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a597)
& c2_1(a597)
& ~ c3_1(a597) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c0_1(a598)
& ~ c1_1(a598)
& ~ c2_1(a598) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a599)
& c3_1(a599)
& ~ c1_1(a599) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a600)
& ~ c1_1(a600)
& ~ c2_1(a600) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a602)
& c3_1(a602)
& ~ c0_1(a602) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a603)
& ~ c1_1(a603)
& ~ c2_1(a603) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c0_1(a604) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a605)
& c2_1(a605)
& ~ c3_1(a605) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a608)
& ~ c0_1(a608)
& ~ c3_1(a608) ) )
& ( ~ hskp12
| ( ndr1_0
& c2_1(a609)
& ~ c1_1(a609)
& ~ c3_1(a609) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a614)
& ~ c2_1(a614)
& ~ c3_1(a614) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a619)
& ~ c1_1(a619)
& ~ c3_1(a619) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a620)
& ~ c0_1(a620)
& ~ c2_1(a620) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a624)
& c1_1(a624)
& ~ c2_1(a624) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a625)
& ~ c0_1(a625)
& ~ c1_1(a625) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a627)
& ~ c2_1(a627)
& ~ c3_1(a627) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a630)
& c3_1(a630)
& ~ c2_1(a630) ) )
& ( ~ hskp21
| ( ndr1_0
& c0_1(a631)
& c3_1(a631)
& ~ c1_1(a631) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a644)
& ~ c2_1(a644)
& ~ c3_1(a644) ) )
& ( ~ hskp23
| ( ndr1_0
& c3_1(a645)
& ~ c0_1(a645)
& ~ c2_1(a645) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a651)
& c3_1(a651)
& ~ c2_1(a651) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a656)
& c3_1(a656)
& ~ c0_1(a656) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a667)
& ~ c1_1(a667)
& ~ c3_1(a667) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ c1_1(a690)
& ~ c2_1(a690)
& ~ c3_1(a690) ) )
& ( ~ hskp28
| ( ndr1_0
& c1_1(a595)
& c2_1(a595)
& c3_1(a595) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a618)
& c1_1(a618)
& c3_1(a618) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a637)
& c1_1(a637)
& c2_1(a637) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a672)
& c2_1(a672)
& c3_1(a672) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c3_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) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| ~ c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| ~ c0_1(X6)
| ~ c2_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c3_1(X8)
| ~ c0_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11) ) )
| hskp0 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c0_1(X14)
| ~ c1_1(X14)
| ~ c2_1(X14) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c2_1(X17)
| ~ c3_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c1_1(X19)
| ~ c0_1(X19)
| ~ c3_1(X19) ) )
| hskp1 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp28
| hskp2 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c2_1(X21) ) )
| hskp3
| hskp4 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c1_1(X22)
| ~ c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c1_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c3_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c3_1(X27)
| ~ c0_1(X27)
| ~ c1_1(X27) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c2_1(X30)
| ~ c0_1(X30)
| ~ c3_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c1_1(X31)
| ~ c3_1(X31) ) )
| hskp5
| hskp6 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c1_1(X33) ) )
| hskp5 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c2_1(X35)
| c3_1(X35)
| ~ c0_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c2_1(X37)
| c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp7 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| c2_1(X40)
| ~ c0_1(X40) ) )
| hskp8 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c1_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c2_1(X44)
| ~ c1_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) )
| hskp9 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c2_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) )
| hskp10 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49) ) )
| hskp1 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| hskp28 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c3_1(X53)
| ~ c0_1(X53) ) )
| hskp11 )
& ( ! [X54] :
( ndr1_0
=> ( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c2_1(X55)
| ~ c1_1(X55)
| ~ c3_1(X55) ) )
| hskp12 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| c3_1(X56)
| ~ c2_1(X56) ) )
| hskp10
| hskp5 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57) ) )
| hskp28
| hskp7 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c0_1(X59)
| ~ c1_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c2_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c2_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) )
| hskp13 )
& ( ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| ~ c1_1(X64)
| ~ c2_1(X64) ) )
| hskp14 )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| hskp14
| hskp8 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| ~ c1_1(X68)
| ~ c2_1(X68) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| ~ c1_1(X70)
| ~ c2_1(X70) ) )
| hskp29 )
& ( ! [X71] :
( ndr1_0
=> ( c0_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp15
| hskp16 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| hskp14
| hskp4 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c2_1(X73)
| ~ c0_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| ~ c0_1(X74)
| ~ c3_1(X74) ) )
| hskp12 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75) ) )
| hskp17
| hskp18 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c3_1(X76)
| ~ c2_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| hskp18 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) )
| hskp19
| hskp7 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c0_1(X79)
| ~ c2_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp12 )
& ( ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c0_1(X82) ) )
| hskp20 )
& ( ! [X83] :
( ndr1_0
=> ( c1_1(X83)
| ~ c0_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85) ) ) )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c0_1(X87)
| ~ c1_1(X87) ) )
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c3_1(X88) ) )
| hskp14
| hskp5 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp13
| hskp12 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90) ) )
| ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| ~ c0_1(X91)
| ~ c1_1(X91) ) )
| hskp29 )
& ( ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| c3_1(X92)
| ~ c0_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp30 )
& ( ! [X94] :
( ndr1_0
=> ( c2_1(X94)
| c3_1(X94)
| ~ c0_1(X94) ) )
| hskp19
| hskp28 )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| c3_1(X95)
| ~ c1_1(X95) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c2_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c2_1(X97)
| ~ c3_1(X97) ) ) )
& ( ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c0_1(X98)
| ~ c1_1(X98) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) )
| hskp18 )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp8
| hskp4 )
& ( ! [X101] :
( ndr1_0
=> ( c2_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101) ) )
| hskp4
| hskp22 )
& ( ! [X102] :
( ndr1_0
=> ( c2_1(X102)
| ~ c0_1(X102)
| ~ c3_1(X102) ) )
| hskp23
| hskp22 )
& ( ! [X103] :
( ndr1_0
=> ( c2_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103) ) )
| hskp29
| hskp6 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| ~ c1_1(X104)
| ~ c3_1(X104) ) )
| hskp10
| hskp5 )
& ( ! [X105] :
( ndr1_0
=> ( c3_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp24 )
& ( ! [X107] :
( ndr1_0
=> ( c3_1(X107)
| ~ c0_1(X107)
| ~ c1_1(X107) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c1_1(X108)
| ~ c2_1(X108)
| ~ c3_1(X108) ) )
| hskp17 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109) ) )
| hskp14 )
& ( ! [X110] :
( ndr1_0
=> ( c3_1(X110)
| ~ c0_1(X110)
| ~ c2_1(X110) ) )
| hskp28
| hskp4 )
& ( ! [X111] :
( ndr1_0
=> ( c3_1(X111)
| ~ c0_1(X111)
| ~ c2_1(X111) ) )
| hskp25 )
& ( ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp0
| hskp22 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp29
| hskp16 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp28
| hskp2 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c1_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp5
| hskp18 )
& ( hskp30
| hskp3
| hskp26 )
& ( hskp29
| hskp25
| hskp23 )
& ( hskp1
| hskp31
| hskp24 )
& ( hskp1
| hskp21
| hskp4 )
& ( hskp10
| hskp28
| hskp2 )
& ( hskp10
| hskp9
| hskp12 )
& ( hskp10
| hskp12
| hskp18 )
& ( hskp9
| hskp24 )
& ( hskp3
| hskp13
| hskp27 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X231,X232,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] :
( ( ndr1_0
| ~ hskp0 )
& ( c2_1(a593)
| ~ hskp0 )
& ( ~ c0_1(a593)
| ~ hskp0 )
& ( ~ c3_1(a593)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c0_1(a594)
| ~ hskp1 )
& ( c1_1(a594)
| ~ hskp1 )
& ( ~ c3_1(a594)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c2_1(a596)
| ~ hskp2 )
& ( ~ c0_1(a596)
| ~ hskp2 )
& ( ~ c1_1(a596)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c1_1(a597)
| ~ hskp3 )
& ( c2_1(a597)
| ~ hskp3 )
& ( ~ c3_1(a597)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( ~ c0_1(a598)
| ~ hskp4 )
& ( ~ c1_1(a598)
| ~ hskp4 )
& ( ~ c2_1(a598)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c2_1(a599)
| ~ hskp5 )
& ( c3_1(a599)
| ~ hskp5 )
& ( ~ c1_1(a599)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c3_1(a600)
| ~ hskp6 )
& ( ~ c1_1(a600)
| ~ hskp6 )
& ( ~ c2_1(a600)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c2_1(a602)
| ~ hskp7 )
& ( c3_1(a602)
| ~ hskp7 )
& ( ~ c0_1(a602)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c0_1(a603)
| ~ hskp8 )
& ( ~ c1_1(a603)
| ~ hskp8 )
& ( ~ c2_1(a603)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c1_1(a604)
| ~ hskp9 )
& ( c2_1(a604)
| ~ hskp9 )
& ( ~ c0_1(a604)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( c0_1(a605)
| ~ hskp10 )
& ( c2_1(a605)
| ~ hskp10 )
& ( ~ c3_1(a605)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c1_1(a608)
| ~ hskp11 )
& ( ~ c0_1(a608)
| ~ hskp11 )
& ( ~ c3_1(a608)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c2_1(a609)
| ~ hskp12 )
& ( ~ c1_1(a609)
| ~ hskp12 )
& ( ~ c3_1(a609)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c1_1(a614)
| ~ hskp13 )
& ( ~ c2_1(a614)
| ~ hskp13 )
& ( ~ c3_1(a614)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c0_1(a615)
| ~ hskp14 )
& ( c2_1(a615)
| ~ hskp14 )
& ( ~ c1_1(a615)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c0_1(a619)
| ~ hskp15 )
& ( ~ c1_1(a619)
| ~ hskp15 )
& ( ~ c3_1(a619)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c1_1(a620)
| ~ hskp16 )
& ( ~ c0_1(a620)
| ~ hskp16 )
& ( ~ c2_1(a620)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c0_1(a624)
| ~ hskp17 )
& ( c1_1(a624)
| ~ hskp17 )
& ( ~ c2_1(a624)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c3_1(a625)
| ~ hskp18 )
& ( ~ c0_1(a625)
| ~ hskp18 )
& ( ~ c1_1(a625)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( c0_1(a627)
| ~ hskp19 )
& ( ~ c2_1(a627)
| ~ hskp19 )
& ( ~ c3_1(a627)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c0_1(a630)
| ~ hskp20 )
& ( c3_1(a630)
| ~ hskp20 )
& ( ~ c2_1(a630)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( c0_1(a631)
| ~ hskp21 )
& ( c3_1(a631)
| ~ hskp21 )
& ( ~ c1_1(a631)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( ~ c0_1(a644)
| ~ hskp22 )
& ( ~ c2_1(a644)
| ~ hskp22 )
& ( ~ c3_1(a644)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c3_1(a645)
| ~ hskp23 )
& ( ~ c0_1(a645)
| ~ hskp23 )
& ( ~ c2_1(a645)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c1_1(a651)
| ~ hskp24 )
& ( c3_1(a651)
| ~ hskp24 )
& ( ~ c2_1(a651)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( c1_1(a656)
| ~ hskp25 )
& ( c3_1(a656)
| ~ hskp25 )
& ( ~ c0_1(a656)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( ~ c0_1(a667)
| ~ hskp26 )
& ( ~ c1_1(a667)
| ~ hskp26 )
& ( ~ c3_1(a667)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( ~ c1_1(a690)
| ~ hskp27 )
& ( ~ c2_1(a690)
| ~ hskp27 )
& ( ~ c3_1(a690)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c1_1(a595)
| ~ hskp28 )
& ( c2_1(a595)
| ~ hskp28 )
& ( c3_1(a595)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c0_1(a618)
| ~ hskp29 )
& ( c1_1(a618)
| ~ hskp29 )
& ( c3_1(a618)
| ~ hskp29 )
& ( ndr1_0
| ~ hskp30 )
& ( c0_1(a637)
| ~ hskp30 )
& ( c1_1(a637)
| ~ hskp30 )
& ( c2_1(a637)
| ~ hskp30 )
& ( ndr1_0
| ~ hskp31 )
& ( c0_1(a672)
| ~ hskp31 )
& ( c2_1(a672)
| ~ hskp31 )
& ( c3_1(a672)
| ~ hskp31 )
& ( ~ ndr1_0
| c0_1(X231)
| c1_1(X231)
| c2_1(X231)
| ~ ndr1_0
| c0_1(X232)
| c1_1(X232)
| c3_1(X232)
| ~ ndr1_0
| c0_1(X233)
| c2_1(X233)
| c3_1(X233) )
& ( ~ ndr1_0
| c0_1(X234)
| c1_1(X234)
| c2_1(X234)
| ~ ndr1_0
| c0_1(X235)
| c1_1(X235)
| ~ c3_1(X235)
| ~ ndr1_0
| c3_1(X236)
| ~ c0_1(X236)
| ~ c2_1(X236) )
& ( ~ ndr1_0
| c0_1(X237)
| c1_1(X237)
| c2_1(X237)
| ~ ndr1_0
| c2_1(X238)
| c3_1(X238)
| ~ c0_1(X238)
| ~ ndr1_0
| c2_1(X239)
| ~ c0_1(X239)
| ~ c3_1(X239) )
& ( ~ ndr1_0
| c0_1(X240)
| c1_1(X240)
| c2_1(X240)
| ~ ndr1_0
| c3_1(X241)
| ~ c0_1(X241)
| ~ c2_1(X241)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X242)
| c1_1(X242)
| c2_1(X242)
| ~ ndr1_0
| c3_1(X243)
| ~ c1_1(X243)
| ~ c2_1(X243)
| ~ ndr1_0
| ~ c0_1(X244)
| ~ c1_1(X244)
| ~ c2_1(X244) )
& ( ~ ndr1_0
| c0_1(X245)
| c1_1(X245)
| c3_1(X245)
| ~ ndr1_0
| c0_1(X246)
| c1_1(X246)
| ~ c3_1(X246)
| ~ ndr1_0
| ~ c0_1(X247)
| ~ c2_1(X247)
| ~ c3_1(X247) )
& ( ~ ndr1_0
| c0_1(X248)
| c1_1(X248)
| ~ c2_1(X248)
| ~ ndr1_0
| c1_1(X249)
| ~ c0_1(X249)
| ~ c3_1(X249)
| hskp1 )
& ( ~ ndr1_0
| c0_1(X250)
| c1_1(X250)
| ~ c2_1(X250)
| hskp28
| hskp2 )
& ( ~ ndr1_0
| c0_1(X251)
| c1_1(X251)
| ~ c2_1(X251)
| hskp3
| hskp4 )
& ( ~ ndr1_0
| c0_1(X252)
| c1_1(X252)
| ~ c3_1(X252)
| ~ ndr1_0
| c0_1(X253)
| c2_1(X253)
| c3_1(X253)
| ~ ndr1_0
| c0_1(X254)
| ~ c2_1(X254)
| ~ c3_1(X254) )
& ( ~ ndr1_0
| c0_1(X255)
| c1_1(X255)
| ~ c3_1(X255)
| ~ ndr1_0
| c0_1(X256)
| c3_1(X256)
| ~ c1_1(X256)
| ~ ndr1_0
| c3_1(X257)
| ~ c0_1(X257)
| ~ c1_1(X257) )
& ( ~ ndr1_0
| c0_1(X258)
| c1_1(X258)
| ~ c3_1(X258)
| ~ ndr1_0
| c0_1(X259)
| ~ c2_1(X259)
| ~ c3_1(X259)
| ~ ndr1_0
| c2_1(X260)
| ~ c0_1(X260)
| ~ c3_1(X260) )
& ( ~ ndr1_0
| c0_1(X261)
| c1_1(X261)
| ~ c3_1(X261)
| hskp5
| hskp6 )
& ( ~ ndr1_0
| c0_1(X262)
| c2_1(X262)
| c3_1(X262)
| ~ ndr1_0
| c0_1(X263)
| c3_1(X263)
| ~ c1_1(X263)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X264)
| c2_1(X264)
| c3_1(X264)
| ~ ndr1_0
| c2_1(X265)
| c3_1(X265)
| ~ c0_1(X265)
| ~ ndr1_0
| ~ c0_1(X266)
| ~ c1_1(X266)
| ~ c2_1(X266) )
& ( ~ ndr1_0
| c0_1(X267)
| c2_1(X267)
| c3_1(X267)
| ~ ndr1_0
| ~ c0_1(X268)
| ~ c1_1(X268)
| ~ c2_1(X268)
| hskp7 )
& ( ~ ndr1_0
| c0_1(X269)
| c2_1(X269)
| ~ c1_1(X269)
| ~ ndr1_0
| c1_1(X270)
| c2_1(X270)
| ~ c0_1(X270)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X271)
| c2_1(X271)
| ~ c1_1(X271)
| ~ ndr1_0
| c1_1(X272)
| c3_1(X272)
| ~ c2_1(X272)
| ~ ndr1_0
| ~ c0_1(X273)
| ~ c2_1(X273)
| ~ c3_1(X273) )
& ( ~ ndr1_0
| c0_1(X274)
| c2_1(X274)
| ~ c1_1(X274)
| ~ ndr1_0
| ~ c0_1(X275)
| ~ c2_1(X275)
| ~ c3_1(X275)
| hskp9 )
& ( ~ ndr1_0
| c0_1(X276)
| c2_1(X276)
| ~ c1_1(X276)
| ~ ndr1_0
| ~ c1_1(X277)
| ~ c2_1(X277)
| ~ c3_1(X277)
| hskp10 )
& ( ~ ndr1_0
| c0_1(X278)
| c3_1(X278)
| ~ c1_1(X278)
| ~ ndr1_0
| c1_1(X279)
| ~ c0_1(X279)
| ~ c3_1(X279)
| hskp1 )
& ( ~ ndr1_0
| c0_1(X280)
| c3_1(X280)
| ~ c1_1(X280)
| ~ ndr1_0
| c2_1(X281)
| ~ c1_1(X281)
| ~ c3_1(X281)
| hskp28 )
& ( ~ ndr1_0
| c0_1(X282)
| c3_1(X282)
| ~ c2_1(X282)
| ~ ndr1_0
| c1_1(X283)
| c3_1(X283)
| ~ c0_1(X283)
| hskp11 )
& ( ~ ndr1_0
| c0_1(X284)
| c3_1(X284)
| ~ c2_1(X284)
| ~ ndr1_0
| c2_1(X285)
| ~ c1_1(X285)
| ~ c3_1(X285)
| hskp12 )
& ( ~ ndr1_0
| c0_1(X286)
| c3_1(X286)
| ~ c2_1(X286)
| hskp10
| hskp5 )
& ( ~ ndr1_0
| c0_1(X287)
| c3_1(X287)
| ~ c2_1(X287)
| hskp28
| hskp7 )
& ( ~ ndr1_0
| c0_1(X288)
| ~ c1_1(X288)
| ~ c2_1(X288)
| ~ ndr1_0
| c0_1(X289)
| ~ c1_1(X289)
| ~ c3_1(X289)
| ~ ndr1_0
| ~ c1_1(X290)
| ~ c2_1(X290)
| ~ c3_1(X290) )
& ( ~ ndr1_0
| c0_1(X291)
| ~ c1_1(X291)
| ~ c2_1(X291)
| ~ ndr1_0
| c2_1(X292)
| ~ c0_1(X292)
| ~ c3_1(X292)
| hskp13 )
& ( ~ ndr1_0
| c0_1(X293)
| ~ c1_1(X293)
| ~ c3_1(X293)
| ~ ndr1_0
| ~ c0_1(X294)
| ~ c1_1(X294)
| ~ c2_1(X294)
| hskp14 )
& ( ~ ndr1_0
| c0_1(X295)
| ~ c1_1(X295)
| ~ c3_1(X295)
| hskp14
| hskp8 )
& ( ~ ndr1_0
| c0_1(X296)
| ~ c2_1(X296)
| ~ c3_1(X296)
| ~ ndr1_0
| c2_1(X297)
| c3_1(X297)
| ~ c1_1(X297)
| ~ ndr1_0
| ~ c0_1(X298)
| ~ c1_1(X298)
| ~ c2_1(X298) )
& ( ~ ndr1_0
| c0_1(X299)
| ~ c2_1(X299)
| ~ c3_1(X299)
| ~ ndr1_0
| ~ c0_1(X300)
| ~ c1_1(X300)
| ~ c2_1(X300)
| hskp29 )
& ( ~ ndr1_0
| c0_1(X301)
| ~ c2_1(X301)
| ~ c3_1(X301)
| hskp15
| hskp16 )
& ( ~ ndr1_0
| c1_1(X302)
| c2_1(X302)
| c3_1(X302)
| hskp14
| hskp4 )
& ( ~ ndr1_0
| c1_1(X303)
| c2_1(X303)
| ~ c0_1(X303)
| ~ ndr1_0
| c2_1(X304)
| ~ c0_1(X304)
| ~ c3_1(X304)
| hskp12 )
& ( ~ ndr1_0
| c1_1(X305)
| c2_1(X305)
| ~ c3_1(X305)
| hskp17
| hskp18 )
& ( ~ ndr1_0
| c1_1(X306)
| c3_1(X306)
| ~ c2_1(X306)
| ~ ndr1_0
| ~ c0_1(X307)
| ~ c1_1(X307)
| ~ c3_1(X307)
| hskp18 )
& ( ~ ndr1_0
| c1_1(X308)
| c3_1(X308)
| ~ c2_1(X308)
| hskp19
| hskp7 )
& ( ~ ndr1_0
| c1_1(X309)
| ~ c0_1(X309)
| ~ c2_1(X309)
| ~ ndr1_0
| c2_1(X310)
| ~ c0_1(X310)
| ~ c1_1(X310)
| hskp12 )
& ( ~ ndr1_0
| c1_1(X311)
| ~ c0_1(X311)
| ~ c3_1(X311)
| ~ ndr1_0
| c2_1(X312)
| c3_1(X312)
| ~ c0_1(X312)
| hskp20 )
& ( ~ ndr1_0
| c1_1(X313)
| ~ c0_1(X313)
| ~ c3_1(X313)
| ~ ndr1_0
| c2_1(X314)
| c3_1(X314)
| ~ c1_1(X314)
| ~ ndr1_0
| c3_1(X315)
| ~ c1_1(X315)
| ~ c2_1(X315) )
& ( ~ ndr1_0
| c1_1(X316)
| ~ c0_1(X316)
| ~ c3_1(X316)
| ~ ndr1_0
| c3_1(X317)
| ~ c0_1(X317)
| ~ c1_1(X317)
| hskp21 )
& ( ~ ndr1_0
| c1_1(X318)
| ~ c0_1(X318)
| ~ c3_1(X318)
| hskp14
| hskp5 )
& ( ~ ndr1_0
| c1_1(X319)
| ~ c2_1(X319)
| ~ c3_1(X319)
| hskp13
| hskp12 )
& ( ~ ndr1_0
| c2_1(X320)
| c3_1(X320)
| ~ c0_1(X320)
| ~ ndr1_0
| c2_1(X321)
| ~ c0_1(X321)
| ~ c1_1(X321)
| hskp29 )
& ( ~ ndr1_0
| c2_1(X322)
| c3_1(X322)
| ~ c0_1(X322)
| ~ ndr1_0
| ~ c0_1(X323)
| ~ c2_1(X323)
| ~ c3_1(X323)
| hskp30 )
& ( ~ ndr1_0
| c2_1(X324)
| c3_1(X324)
| ~ c0_1(X324)
| hskp19
| hskp28 )
& ( ~ ndr1_0
| c2_1(X325)
| c3_1(X325)
| ~ c1_1(X325)
| ~ ndr1_0
| ~ c0_1(X326)
| ~ c1_1(X326)
| ~ c2_1(X326)
| ~ ndr1_0
| ~ c0_1(X327)
| ~ c2_1(X327)
| ~ c3_1(X327) )
& ( ~ ndr1_0
| c2_1(X328)
| ~ c0_1(X328)
| ~ c1_1(X328)
| ~ ndr1_0
| ~ c0_1(X329)
| ~ c1_1(X329)
| ~ c2_1(X329)
| hskp18 )
& ( ~ ndr1_0
| c2_1(X330)
| ~ c0_1(X330)
| ~ c1_1(X330)
| hskp8
| hskp4 )
& ( ~ ndr1_0
| c2_1(X331)
| ~ c0_1(X331)
| ~ c1_1(X331)
| hskp4
| hskp22 )
& ( ~ ndr1_0
| c2_1(X332)
| ~ c0_1(X332)
| ~ c3_1(X332)
| hskp23
| hskp22 )
& ( ~ ndr1_0
| c2_1(X333)
| ~ c1_1(X333)
| ~ c3_1(X333)
| hskp29
| hskp6 )
& ( ~ ndr1_0
| c2_1(X334)
| ~ c1_1(X334)
| ~ c3_1(X334)
| hskp10
| hskp5 )
& ( ~ ndr1_0
| c3_1(X335)
| ~ c0_1(X335)
| ~ c1_1(X335)
| ~ ndr1_0
| ~ c0_1(X336)
| ~ c2_1(X336)
| ~ c3_1(X336)
| hskp24 )
& ( ~ ndr1_0
| c3_1(X337)
| ~ c0_1(X337)
| ~ c1_1(X337)
| ~ ndr1_0
| ~ c1_1(X338)
| ~ c2_1(X338)
| ~ c3_1(X338)
| hskp17 )
& ( ~ ndr1_0
| c3_1(X339)
| ~ c0_1(X339)
| ~ c2_1(X339)
| hskp14 )
& ( ~ ndr1_0
| c3_1(X340)
| ~ c0_1(X340)
| ~ c2_1(X340)
| hskp28
| hskp4 )
& ( ~ ndr1_0
| c3_1(X341)
| ~ c0_1(X341)
| ~ c2_1(X341)
| hskp25 )
& ( ~ ndr1_0
| c3_1(X342)
| ~ c1_1(X342)
| ~ c2_1(X342)
| hskp0
| hskp22 )
& ( ~ ndr1_0
| ~ c0_1(X343)
| ~ c1_1(X343)
| ~ c2_1(X343)
| hskp29
| hskp16 )
& ( ~ ndr1_0
| ~ c0_1(X344)
| ~ c2_1(X344)
| ~ c3_1(X344)
| hskp28
| hskp2 )
& ( ~ ndr1_0
| ~ c1_1(X345)
| ~ c2_1(X345)
| ~ c3_1(X345)
| hskp5
| hskp18 )
& ( hskp30
| hskp3
| hskp26 )
& ( hskp29
| hskp25
| hskp23 )
& ( hskp1
| hskp31
| hskp24 )
& ( hskp1
| hskp21
| hskp4 )
& ( hskp10
| hskp28
| hskp2 )
& ( hskp10
| hskp9
| hskp12 )
& ( hskp10
| hskp12
| hskp18 )
& ( hskp9
| hskp24 )
& ( hskp3
| hskp13
| hskp27 ) ),
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
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp9
| hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
( ~ epred53_0
<=> ! [X2] :
( c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( ~ epred42_0
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_8,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
fof(c_0_9,plain,
( ~ epred2_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
( epred53_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( epred42_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_8])]) ).
fof(c_0_12,plain,
( ~ epred35_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_13,plain,
( ~ epred10_0
<=> ! [X1] :
( c0_1(X1)
| hskp1
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_14,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_15,negated_conjecture,
( c1_1(a604)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( ~ c0_1(a604)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( epred2_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
( epred53_0
| epred42_0
| c0_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( c3_1(a656)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( ~ c0_1(a656)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_21,plain,
( ~ epred19_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_22,negated_conjecture,
( epred35_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( c3_1(X1)
| hskp25
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_24,plain,
( ~ epred32_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_25,negated_conjecture,
( epred10_0
| c1_1(X1)
| hskp1
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_13]),c_0_8])]) ).
cnf(c_0_26,negated_conjecture,
( c2_1(a596)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( ~ c0_1(a596)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( ~ c1_1(a596)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( epred30_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
( c1_1(a651)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,negated_conjecture,
( c3_1(a651)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( epred53_0
| ~ hskp9
| ~ c3_1(a604) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( epred2_0
| c3_1(a604)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).
cnf(c_0_34,negated_conjecture,
( c3_1(a645)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( ~ c0_1(a645)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( epred53_0
| epred42_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_37,negated_conjecture,
( hskp29
| hskp25
| hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_38,plain,
( ~ epred11_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_39,negated_conjecture,
( ~ c3_1(a690)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( epred19_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
cnf(c_0_41,negated_conjecture,
( ~ c2_1(a690)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( epred35_0
| epred2_0
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_43,negated_conjecture,
( c1_1(a656)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( hskp25
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_8])]) ).
cnf(c_0_45,negated_conjecture,
( c0_1(a605)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( c2_1(a605)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,negated_conjecture,
( ~ c3_1(a605)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,negated_conjecture,
( epred32_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_49,negated_conjecture,
( c1_1(a594)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_50,negated_conjecture,
( c0_1(a594)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( ~ c3_1(a594)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,negated_conjecture,
( epred10_0
| hskp1
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_53,negated_conjecture,
( hskp10
| hskp28
| hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c3_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
( epred30_0
| ~ hskp24
| ~ c0_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_56,negated_conjecture,
( epred53_0
| c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_30]),c_0_31]) ).
cnf(c_0_57,negated_conjecture,
( epred53_0
| epred2_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_58,negated_conjecture,
( c1_1(a618)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_59,negated_conjecture,
( c0_1(a618)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( c3_1(a618)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,negated_conjecture,
( epred53_0
| epred42_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_34]),c_0_35]) ).
cnf(c_0_62,negated_conjecture,
( epred53_0
| epred42_0
| hskp29
| hskp23 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_63,negated_conjecture,
( epred11_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_38]) ).
fof(c_0_64,plain,
( ~ epred43_0
<=> ! [X3] :
( c0_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_65,plain,
( ~ epred34_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_66,plain,
( ~ epred49_0
<=> ! [X3] :
( c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_67,negated_conjecture,
( ~ c3_1(a614)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,negated_conjecture,
( ~ c2_1(a614)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_69,negated_conjecture,
( c1_1(a614)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_70,negated_conjecture,
( epred19_0
| ~ hskp27
| ~ c0_1(a690) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_71,negated_conjecture,
( epred35_0
| epred2_0
| c0_1(a690)
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_39,c_0_42]) ).
cnf(c_0_72,negated_conjecture,
( c1_1(a595)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_73,negated_conjecture,
( c3_1(a595)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_74,negated_conjecture,
( epred53_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_43]),c_0_19]),c_0_20]) ).
cnf(c_0_75,negated_conjecture,
( hskp25
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]) ).
cnf(c_0_76,negated_conjecture,
( epred32_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_77,negated_conjecture,
( epred10_0
| hskp28
| hskp10
| hskp1 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_78,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c3_1(X3)
| c3_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X1)
| ~ c1_1(X3)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_54]) ).
cnf(c_0_79,negated_conjecture,
( epred53_0
| epred30_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_80,negated_conjecture,
( epred53_0
| epred2_0
| hskp24 ),
inference(spm,[status(thm)],[c_0_57,c_0_4]) ).
cnf(c_0_81,negated_conjecture,
( epred30_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_82,negated_conjecture,
( epred53_0
| epred42_0
| hskp29 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_83,negated_conjecture,
( epred30_0
| epred11_0
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_63]) ).
cnf(c_0_84,negated_conjecture,
( c3_1(a672)
| ~ hskp31 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,negated_conjecture,
( c0_1(a672)
| ~ hskp31 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_86,plain,
( ~ epred36_0
<=> ! [X3] :
( c2_1(X3)
| c0_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_87,plain,
( ~ epred15_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_88,plain,
( ~ epred9_0
<=> ! [X2] :
( hskp1
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_89,negated_conjecture,
( epred43_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_64]) ).
cnf(c_0_90,negated_conjecture,
( c3_1(a625)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_91,negated_conjecture,
( ~ c0_1(a625)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_92,negated_conjecture,
( ~ c1_1(a625)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_93,negated_conjecture,
( epred34_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_65]),c_0_8])]) ).
fof(c_0_94,plain,
( ~ epred29_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| hskp18
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_95,negated_conjecture,
( epred49_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_66]) ).
cnf(c_0_96,negated_conjecture,
( c2_1(a604)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_97,negated_conjecture,
( epred19_0
| ~ hskp13
| ~ c0_1(a614) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_40]),c_0_68]) ).
cnf(c_0_98,negated_conjecture,
( epred2_0
| c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_69]),c_0_67]) ).
cnf(c_0_99,negated_conjecture,
( epred35_0
| epred19_0
| epred2_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_100,negated_conjecture,
( hskp3
| hskp13
| hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_101,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_102,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp1
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_103,negated_conjecture,
( epred30_0
| ~ hskp28
| ~ c0_1(a595) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_72]),c_0_73]) ).
cnf(c_0_104,negated_conjecture,
( epred53_0
| c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_72]),c_0_73]) ).
cnf(c_0_105,negated_conjecture,
( epred53_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_106,negated_conjecture,
( epred32_0
| epred10_0
| hskp28
| hskp10 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_107,negated_conjecture,
( ~ epred42_0
| ~ epred32_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78,c_0_7]),c_0_9]),c_0_24]) ).
cnf(c_0_108,negated_conjecture,
( epred53_0
| epred30_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_109,negated_conjecture,
( epred53_0
| epred42_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_110,negated_conjecture,
( epred30_0
| epred11_0
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_111,negated_conjecture,
( hskp1
| hskp31
| hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_112,negated_conjecture,
( epred36_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_86]) ).
fof(c_0_113,plain,
( ~ epred37_0
<=> ! [X1] :
( c0_1(X1)
| hskp14
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_114,negated_conjecture,
( epred15_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_87]) ).
cnf(c_0_115,negated_conjecture,
( ~ c2_1(a651)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_116,negated_conjecture,
( epred9_0
| c1_1(X1)
| hskp1
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_8])]) ).
cnf(c_0_117,negated_conjecture,
( c3_1(a631)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_118,negated_conjecture,
( c0_1(a631)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_119,negated_conjecture,
( ~ c1_1(a631)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_120,negated_conjecture,
( epred43_0
| ~ hskp18
| ~ c2_1(a625) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_121,negated_conjecture,
( epred34_0
| c2_1(a625)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_91]) ).
cnf(c_0_122,negated_conjecture,
( epred29_0
| hskp18
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_94]),c_0_8])]) ).
cnf(c_0_123,negated_conjecture,
( c2_1(a609)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_124,negated_conjecture,
( ~ c3_1(a609)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_125,negated_conjecture,
( ~ c1_1(a609)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_126,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred17_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred44_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( epred49_0
| c3_1(a604)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_15]),c_0_96]) ).
cnf(c_0_130,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp1
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_131,negated_conjecture,
( c1_1(a597)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_132,negated_conjecture,
( c2_1(a597)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_133,negated_conjecture,
( ~ c3_1(a597)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_134,negated_conjecture,
( epred19_0
| epred2_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_135,negated_conjecture,
( epred35_0
| epred19_0
| epred2_0
| hskp13
| hskp3 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_136,negated_conjecture,
( epred4_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_101]) ).
cnf(c_0_137,negated_conjecture,
( hskp1
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_102]) ).
cnf(c_0_138,negated_conjecture,
( epred53_0
| epred30_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_139,negated_conjecture,
( epred53_0
| epred32_0
| epred10_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_140,negated_conjecture,
( epred53_0
| epred30_0
| ~ epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_141,negated_conjecture,
( epred30_0
| epred11_0
| hskp24
| hskp1 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_142,negated_conjecture,
( epred36_0
| c0_1(a690)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_112]),c_0_41]) ).
cnf(c_0_143,negated_conjecture,
( epred37_0
| hskp14
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_8])]) ).
cnf(c_0_144,negated_conjecture,
( epred15_0
| ~ hskp24
| ~ c0_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_31]),c_0_115]) ).
cnf(c_0_145,negated_conjecture,
( epred9_0
| hskp1
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_146,negated_conjecture,
( hskp1
| hskp21
| hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_147,negated_conjecture,
( epred43_0
| epred34_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_148,negated_conjecture,
( epred29_0
| hskp18
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125]) ).
cnf(c_0_149,negated_conjecture,
( hskp10
| hskp12
| hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_150,plain,
( ~ epred23_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| hskp9
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_151,negated_conjecture,
( epred26_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_126]) ).
cnf(c_0_152,negated_conjecture,
( epred17_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
cnf(c_0_153,negated_conjecture,
( epred44_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_128]) ).
cnf(c_0_154,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_155,negated_conjecture,
( epred53_0
| epred49_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_32,c_0_129]) ).
cnf(c_0_156,negated_conjecture,
( ~ c1_1(a598)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_157,negated_conjecture,
( ~ c0_1(a598)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_158,negated_conjecture,
( epred49_0
| ~ hskp1
| ~ c2_1(a594) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_49]),c_0_51]) ).
cnf(c_0_159,negated_conjecture,
( epred19_0
| c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_50]) ).
cnf(c_0_160,negated_conjecture,
( hskp1
| c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_130]) ).
cnf(c_0_161,negated_conjecture,
( epred49_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_131]),c_0_132]),c_0_133]) ).
cnf(c_0_162,negated_conjecture,
( epred35_0
| epred19_0
| epred2_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_163,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_164,negated_conjecture,
( epred4_0
| ~ hskp12
| ~ c0_1(a609) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_136]),c_0_123]) ).
cnf(c_0_165,negated_conjecture,
( epred35_0
| c0_1(a609)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_22]),c_0_124]) ).
cnf(c_0_166,negated_conjecture,
( hskp10
| hskp9
| hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_167,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_168,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp18
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_169,negated_conjecture,
( epred53_0
| epred42_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_90]),c_0_91]) ).
cnf(c_0_170,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_137,c_0_13]),c_0_38]) ).
cnf(c_0_171,negated_conjecture,
( epred53_0
| epred30_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_172,negated_conjecture,
( epred53_0
| epred30_0
| epred11_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_79,c_0_141]) ).
cnf(c_0_173,negated_conjecture,
( epred36_0
| c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_112]),c_0_68]) ).
cnf(c_0_174,negated_conjecture,
( epred36_0
| epred19_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_70,c_0_142]) ).
fof(c_0_175,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( epred37_0
| hskp14
| ~ hskp9
| ~ c3_1(a604) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_15]),c_0_16]) ).
fof(c_0_177,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_178,plain,
( ~ epred33_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| hskp30
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( epred53_0
| epred15_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_144,c_0_56]) ).
cnf(c_0_180,negated_conjecture,
( ~ c2_1(a598)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_181,negated_conjecture,
( epred9_0
| hskp4
| hskp1 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_182,negated_conjecture,
( epred43_0
| epred34_0
| epred29_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_183,negated_conjecture,
( epred43_0
| epred34_0
| hskp12
| hskp10 ),
inference(spm,[status(thm)],[c_0_147,c_0_149]) ).
fof(c_0_184,plain,
( ~ epred20_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| hskp28
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_185,negated_conjecture,
( epred23_0
| hskp9
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_150]),c_0_8])]) ).
cnf(c_0_186,negated_conjecture,
( epred26_0
| ~ hskp25
| ~ c2_1(a656) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_43]),c_0_19]) ).
cnf(c_0_187,negated_conjecture,
( epred17_0
| c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_43]),c_0_19]) ).
cnf(c_0_188,negated_conjecture,
( epred44_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_153]),c_0_90]),c_0_91]) ).
cnf(c_0_189,negated_conjecture,
( c2_1(X3)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c3_1(X3) ),
inference(cn,[status(thm)],[c_0_154]) ).
cnf(c_0_190,negated_conjecture,
( epred53_0
| epred49_0
| hskp24 ),
inference(spm,[status(thm)],[c_0_155,c_0_4]) ).
cnf(c_0_191,negated_conjecture,
( epred44_0
| ~ hskp4
| ~ c3_1(a598) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_153]),c_0_157]) ).
cnf(c_0_192,negated_conjecture,
( epred35_0
| c3_1(a598)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_22]),c_0_157]) ).
cnf(c_0_193,negated_conjecture,
( epred49_0
| epred19_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_194,negated_conjecture,
( ~ epred9_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_160,c_0_88]),c_0_9]) ).
cnf(c_0_195,negated_conjecture,
( epred49_0
| epred35_0
| epred19_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_196,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X3)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_163]) ).
cnf(c_0_197,negated_conjecture,
( epred35_0
| epred4_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_198,negated_conjecture,
( epred53_0
| epred49_0
| hskp12
| hskp10 ),
inference(spm,[status(thm)],[c_0_155,c_0_166]) ).
cnf(c_0_199,negated_conjecture,
( c2_1(X3)
| c0_1(X2)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_167]) ).
cnf(c_0_200,negated_conjecture,
( hskp18
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_168]) ).
cnf(c_0_201,negated_conjecture,
( epred53_0
| epred42_0
| epred29_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_169,c_0_148]) ).
cnf(c_0_202,negated_conjecture,
( epred53_0
| epred42_0
| hskp12
| hskp10 ),
inference(spm,[status(thm)],[c_0_169,c_0_149]) ).
cnf(c_0_203,negated_conjecture,
( epred53_0
| epred30_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_204,negated_conjecture,
( epred53_0
| epred32_0
| epred30_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_172]) ).
cnf(c_0_205,negated_conjecture,
( epred36_0
| epred19_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_97,c_0_173]) ).
cnf(c_0_206,negated_conjecture,
( epred36_0
| epred19_0
| hskp13
| hskp3 ),
inference(spm,[status(thm)],[c_0_174,c_0_100]) ).
fof(c_0_207,plain,
( ~ epred21_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| hskp29
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_208,negated_conjecture,
( epred26_0
| ~ hskp9
| ~ c3_1(a604) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_15]),c_0_96]) ).
fof(c_0_209,plain,
( ~ epred22_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_210,plain,
( ~ epred41_0
<=> ! [X1] :
( c0_1(X1)
| hskp29
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_211,plain,
( ~ epred39_0
<=> ! [X1] :
( c2_1(X1)
| hskp18
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_212,plain,
( ~ epred40_0
<=> ! [X1] :
( c3_1(X1)
| hskp24
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_213,negated_conjecture,
( epred24_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_175]) ).
cnf(c_0_214,negated_conjecture,
( epred37_0
| hskp14
| c0_1(a651)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_30]),c_0_31]) ).
cnf(c_0_215,negated_conjecture,
( epred49_0
| epred37_0
| hskp14
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_176,c_0_129]) ).
cnf(c_0_216,negated_conjecture,
( epred13_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_177]) ).
cnf(c_0_217,negated_conjecture,
( epred33_0
| hskp30
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_8])]) ).
cnf(c_0_218,negated_conjecture,
( c1_1(a637)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_219,negated_conjecture,
( c2_1(a637)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_220,negated_conjecture,
( c0_1(a637)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_221,negated_conjecture,
( epred53_0
| epred15_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_80]) ).
cnf(c_0_222,negated_conjecture,
( epred34_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_93]),c_0_180]),c_0_157]) ).
cnf(c_0_223,negated_conjecture,
( epred32_0
| epred9_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_76,c_0_181]) ).
cnf(c_0_224,negated_conjecture,
( epred43_0
| epred34_0
| epred29_0
| hskp10 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_225,negated_conjecture,
( epred20_0
| hskp28
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_8])]) ).
cnf(c_0_226,negated_conjecture,
( c2_1(a595)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_227,negated_conjecture,
( epred23_0
| hskp9
| c2_1(a656)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_43]),c_0_20]) ).
cnf(c_0_228,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| hskp28
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_229,negated_conjecture,
( epred26_0
| epred17_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_230,negated_conjecture,
( epred44_0
| epred29_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_188,c_0_148]) ).
cnf(c_0_231,negated_conjecture,
( epred44_0
| hskp12
| hskp10 ),
inference(spm,[status(thm)],[c_0_188,c_0_149]) ).
cnf(c_0_232,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_233,negated_conjecture,
( ~ epred34_0
| ~ epred19_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_189,c_0_65]),c_0_21]),c_0_87]) ).
cnf(c_0_234,negated_conjecture,
( epred53_0
| epred49_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_190]) ).
cnf(c_0_235,negated_conjecture,
( epred44_0
| epred35_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_236,negated_conjecture,
( epred49_0
| epred19_0
| epred9_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_193,c_0_181]) ).
cnf(c_0_237,negated_conjecture,
( epred49_0
| epred35_0
| epred19_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_238,negated_conjecture,
( ~ epred44_0
| ~ epred34_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_196,c_0_65]),c_0_128]),c_0_101]) ).
cnf(c_0_239,negated_conjecture,
( epred53_0
| epred49_0
| epred35_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_105]) ).
cnf(c_0_240,negated_conjecture,
( ~ epred43_0
| ~ epred42_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_199,c_0_7]),c_0_64]),c_0_87]) ).
cnf(c_0_241,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_200,c_0_94]),c_0_14]) ).
cnf(c_0_242,negated_conjecture,
( epred53_0
| epred42_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_105]) ).
cnf(c_0_243,negated_conjecture,
( epred53_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_140]) ).
cnf(c_0_244,negated_conjecture,
( epred36_0
| epred19_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_245,negated_conjecture,
( epred21_0
| hskp29
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_8])]) ).
cnf(c_0_246,negated_conjecture,
( epred26_0
| epred2_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_208,c_0_33]) ).
cnf(c_0_247,negated_conjecture,
( c2_1(a672)
| ~ hskp31 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_248,negated_conjecture,
( ~ c1_1(a667)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_249,negated_conjecture,
( ~ c0_1(a667)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_250,negated_conjecture,
( ~ c3_1(a667)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_251,plain,
( ~ epred12_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp7
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_252,negated_conjecture,
( epred22_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_209]) ).
cnf(c_0_253,negated_conjecture,
( epred41_0
| hskp29
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_8])]) ).
cnf(c_0_254,negated_conjecture,
( epred39_0
| hskp18
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_211]),c_0_8])]) ).
cnf(c_0_255,negated_conjecture,
( epred40_0
| hskp24
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_8])]) ).
cnf(c_0_256,negated_conjecture,
( epred24_0
| epred4_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_136]) ).
cnf(c_0_257,negated_conjecture,
( c2_1(a615)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_258,negated_conjecture,
( c0_1(a615)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_259,negated_conjecture,
( epred37_0
| epred15_0
| hskp14
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_144,c_0_214]) ).
cnf(c_0_260,negated_conjecture,
( epred49_0
| epred37_0
| hskp24
| hskp14 ),
inference(spm,[status(thm)],[c_0_215,c_0_4]) ).
cnf(c_0_261,negated_conjecture,
( epred13_0
| ~ hskp1
| ~ c2_1(a594) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_49]),c_0_50]) ).
cnf(c_0_262,negated_conjecture,
( epred33_0
| hskp30
| c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_50]),c_0_51]) ).
cnf(c_0_263,negated_conjecture,
( epred13_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_218]),c_0_219]),c_0_220]) ).
fof(c_0_264,plain,
( ~ epred7_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| hskp11
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_265,plain,
( ~ epred46_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_266,negated_conjecture,
( epred53_0
| epred15_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_221]) ).
cnf(c_0_267,negated_conjecture,
( epred34_0
| epred32_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_268,negated_conjecture,
( epred53_0
| epred43_0
| epred34_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_105,c_0_224]) ).
cnf(c_0_269,negated_conjecture,
( epred20_0
| hskp28
| c3_1(a604)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_15]),c_0_16]) ).
cnf(c_0_270,negated_conjecture,
( epred26_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_72]),c_0_226]),c_0_73]) ).
cnf(c_0_271,negated_conjecture,
( epred26_0
| epred23_0
| hskp9
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_186,c_0_227]) ).
cnf(c_0_272,negated_conjecture,
( hskp28
| c2_1(X2)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_228]) ).
cnf(c_0_273,negated_conjecture,
( epred26_0
| epred17_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_229,c_0_75]) ).
cnf(c_0_274,negated_conjecture,
( epred44_0
| epred29_0
| hskp10 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_275,negated_conjecture,
( c2_1(X3)
| c2_1(X1)
| c0_1(X3)
| c0_1(X2)
| c0_1(X1)
| c3_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0 ),
inference(cn,[status(thm)],[c_0_232]) ).
cnf(c_0_276,negated_conjecture,
( epred53_0
| epred49_0
| ~ epred34_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_277,negated_conjecture,
( epred49_0
| epred44_0
| epred35_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).
cnf(c_0_278,negated_conjecture,
( epred53_0
| epred49_0
| epred35_0
| ~ epred44_0
| ~ epred34_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_279,negated_conjecture,
( epred53_0
| epred49_0
| ~ epred43_0
| ~ epred42_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_234]) ).
cnf(c_0_280,negated_conjecture,
( epred53_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]) ).
cnf(c_0_281,negated_conjecture,
( epred49_0
| epred36_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_244]) ).
cnf(c_0_282,negated_conjecture,
( hskp25
| ~ hskp1
| ~ c2_1(a594) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_51]) ).
cnf(c_0_283,negated_conjecture,
( epred21_0
| hskp29
| c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_50]),c_0_51]) ).
cnf(c_0_284,negated_conjecture,
( epred26_0
| ~ hskp29
| ~ c2_1(a618) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_58]),c_0_60]) ).
cnf(c_0_285,negated_conjecture,
( epred17_0
| c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_58]),c_0_60]) ).
cnf(c_0_286,negated_conjecture,
( epred17_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_30]),c_0_31]),c_0_115]) ).
cnf(c_0_287,negated_conjecture,
( epred26_0
| epred2_0
| hskp24 ),
inference(spm,[status(thm)],[c_0_246,c_0_4]) ).
cnf(c_0_288,negated_conjecture,
( epred24_0
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_84]),c_0_247]),c_0_85]) ).
cnf(c_0_289,negated_conjecture,
( epred35_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_22]),c_0_249]),c_0_250]) ).
cnf(c_0_290,negated_conjecture,
( hskp30
| hskp3
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_291,negated_conjecture,
( epred12_0
| hskp7
| c3_1(X1)
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_251]),c_0_8])]) ).
cnf(c_0_292,negated_conjecture,
( epred22_0
| c2_1(a594)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_49]),c_0_50]) ).
fof(c_0_293,plain,
( ~ epred8_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_294,negated_conjecture,
( epred24_0
| ~ hskp29
| ~ c2_1(a618) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_60]),c_0_59]) ).
cnf(c_0_295,negated_conjecture,
( epred15_0
| c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_60]),c_0_59]) ).
cnf(c_0_296,negated_conjecture,
( epred41_0
| hskp29
| ~ hskp18
| ~ c2_1(a625) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_90]),c_0_91]) ).
cnf(c_0_297,negated_conjecture,
( epred39_0
| hskp18
| c2_1(a618)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_58]),c_0_59]) ).
cnf(c_0_298,negated_conjecture,
( epred24_0
| ~ hskp28
| ~ c0_1(a595) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_73]),c_0_226]) ).
cnf(c_0_299,negated_conjecture,
( epred41_0
| hskp29
| c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_73]),c_0_226]) ).
cnf(c_0_300,negated_conjecture,
( epred40_0
| hskp24
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_301,negated_conjecture,
( epred24_0
| epred4_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
cnf(c_0_302,negated_conjecture,
( epred49_0
| epred37_0
| epred15_0
| hskp14 ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_303,negated_conjecture,
( epred23_0
| hskp9
| c0_1(a651)
| c2_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_30]),c_0_4]) ).
cnf(c_0_304,negated_conjecture,
( epred33_0
| epred13_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_305,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp4
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_306,negated_conjecture,
( c0_1(a624)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_307,negated_conjecture,
( ~ c2_1(a624)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_308,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp28
| hskp7
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_309,negated_conjecture,
( epred7_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_264]),c_0_8])]) ).
cnf(c_0_310,negated_conjecture,
( c0_1(a603)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_311,negated_conjecture,
( ~ c1_1(a603)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_312,negated_conjecture,
( epred13_0
| epred11_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_63]) ).
cnf(c_0_313,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp17
| hskp18
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_314,negated_conjecture,
( c2_1(X1)
| hskp10
| hskp5
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_315,negated_conjecture,
( c2_1(X1)
| hskp29
| hskp6
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_316,negated_conjecture,
( epred46_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_265]),c_0_8])]) ).
cnf(c_0_317,negated_conjecture,
( c0_1(X1)
| hskp14
| hskp8
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_318,plain,
( ~ epred52_0
<=> ! [X1] :
( c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_319,negated_conjecture,
( epred53_0
| epred15_0
| ~ epred42_0
| ~ epred32_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_221]) ).
cnf(c_0_320,negated_conjecture,
( epred53_0
| epred34_0
| epred32_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_321,negated_conjecture,
( epred53_0
| epred43_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_268]),c_0_243]) ).
cnf(c_0_322,negated_conjecture,
( epred26_0
| epred20_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_269]),c_0_270]) ).
cnf(c_0_323,negated_conjecture,
( epred26_0
| epred23_0
| hskp9
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_271,c_0_75]) ).
cnf(c_0_324,negated_conjecture,
( ~ epred20_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_272,c_0_184]),c_0_127]) ).
cnf(c_0_325,negated_conjecture,
( epred44_0
| epred29_0
| epred26_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_326,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_275,c_0_65]),c_0_12]),c_0_86]) ).
cnf(c_0_327,negated_conjecture,
( epred53_0
| epred49_0
| epred35_0
| ~ epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278]) ).
cnf(c_0_328,negated_conjecture,
( epred53_0
| epred49_0
| ~ epred43_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_329,negated_conjecture,
( epred53_0
| epred49_0
| epred36_0
| ~ epred34_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_281]) ).
cnf(c_0_330,negated_conjecture,
( epred21_0
| hskp29
| hskp25
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_331,negated_conjecture,
( epred26_0
| epred17_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_332,negated_conjecture,
( epred26_0
| epred17_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_333,negated_conjecture,
( epred24_0
| hskp24
| hskp1 ),
inference(spm,[status(thm)],[c_0_288,c_0_111]) ).
cnf(c_0_334,negated_conjecture,
( epred13_0
| ~ hskp3
| ~ c0_1(a597) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_131]),c_0_132]) ).
cnf(c_0_335,negated_conjecture,
( epred20_0
| hskp28
| c0_1(a597)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_131]),c_0_133]) ).
cnf(c_0_336,negated_conjecture,
( epred35_0
| hskp30
| hskp3 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_337,negated_conjecture,
( epred12_0
| hskp7
| c0_1(a690)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_291]),c_0_41]) ).
cnf(c_0_338,negated_conjecture,
( epred12_0
| hskp7
| c0_1(a614)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_291]),c_0_68]) ).
cnf(c_0_339,negated_conjecture,
( epred22_0
| hskp25
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_282,c_0_292]) ).
cnf(c_0_340,negated_conjecture,
( c3_1(a599)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_341,negated_conjecture,
( c2_1(a599)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_342,negated_conjecture,
( epred8_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_293]) ).
cnf(c_0_343,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_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_344,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_345,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_346,negated_conjecture,
( c0_1(X1)
| hskp29
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_347,negated_conjecture,
( c3_1(X1)
| hskp24
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_348,negated_conjecture,
( c2_1(X1)
| hskp18
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_349,negated_conjecture,
( c0_1(X1)
| hskp14
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_350,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp30
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_351,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp9
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_352,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c2_1(X2)
| hskp29
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_353,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp7
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_354,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp11
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_355,negated_conjecture,
( epred24_0
| epred15_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_356,negated_conjecture,
( epred41_0
| epred34_0
| hskp29
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_296,c_0_121]) ).
cnf(c_0_357,negated_conjecture,
( epred39_0
| epred24_0
| hskp18
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_294,c_0_297]) ).
cnf(c_0_358,negated_conjecture,
( epred41_0
| epred24_0
| hskp29
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_359,negated_conjecture,
( epred40_0
| epred17_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_286,c_0_300]) ).
cnf(c_0_360,negated_conjecture,
( epred49_0
| epred37_0
| epred24_0
| epred15_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_361,negated_conjecture,
( epred39_0
| hskp18
| ~ hskp24
| ~ c0_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_30]),c_0_115]) ).
cnf(c_0_362,negated_conjecture,
( epred23_0
| hskp9
| c0_1(a651) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_303]),c_0_4]) ).
cnf(c_0_363,negated_conjecture,
( epred33_0
| epred13_0
| epred10_0
| hskp28
| hskp10 ),
inference(spm,[status(thm)],[c_0_304,c_0_77]) ).
cnf(c_0_364,negated_conjecture,
( hskp4
| hskp3
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_8])]) ).
cnf(c_0_365,negated_conjecture,
( epred34_0
| c2_1(a667)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_93]),c_0_249]) ).
cnf(c_0_366,negated_conjecture,
( epred21_0
| hskp29
| c3_1(a624)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_306]),c_0_307]) ).
cnf(c_0_367,negated_conjecture,
( epred34_0
| epred23_0
| hskp9
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_93]) ).
cnf(c_0_368,negated_conjecture,
( hskp28
| hskp7
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_8])]) ).
cnf(c_0_369,negated_conjecture,
( epred36_0
| c2_1(a667)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_112]),c_0_249]) ).
cnf(c_0_370,negated_conjecture,
( epred7_0
| hskp11
| c3_1(a603)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]) ).
cnf(c_0_371,negated_conjecture,
( epred13_0
| epred11_0
| epred4_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_312,c_0_136]) ).
cnf(c_0_372,negated_conjecture,
( hskp18
| hskp17
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_8])]) ).
cnf(c_0_373,negated_conjecture,
( c3_1(a600)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_374,negated_conjecture,
( hskp10
| hskp5
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_8])]) ).
cnf(c_0_375,negated_conjecture,
( hskp29
| hskp6
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_8])]) ).
cnf(c_0_376,negated_conjecture,
( epred46_0
| epred20_0
| hskp28
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_316]) ).
cnf(c_0_377,negated_conjecture,
( hskp14
| hskp8
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_8])]) ).
cnf(c_0_378,negated_conjecture,
( epred52_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_318]),c_0_8])]) ).
cnf(c_0_379,negated_conjecture,
( epred53_0
| ~ epred43_0
| ~ epred42_0
| ~ epred32_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_319]) ).
cnf(c_0_380,negated_conjecture,
( epred53_0
| epred34_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_320]),c_0_280]),c_0_321]) ).
cnf(c_0_381,negated_conjecture,
( c1_1(a624)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_382,negated_conjecture,
( epred26_0
| epred23_0
| epred20_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_383,negated_conjecture,
( epred44_0
| epred29_0
| epred26_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_384,negated_conjecture,
( epred53_0
| epred43_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_321]) ).
cnf(c_0_385,negated_conjecture,
( epred53_0
| epred49_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_321]),c_0_328]) ).
cnf(c_0_386,negated_conjecture,
( epred53_0
| epred49_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_321]),c_0_328]) ).
cnf(c_0_387,negated_conjecture,
( epred26_0
| epred21_0
| epred17_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_330]),c_0_331]) ).
cnf(c_0_388,negated_conjecture,
( epred26_0
| epred17_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_332]) ).
cnf(c_0_389,negated_conjecture,
( epred53_0
| epred44_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_105,c_0_274]) ).
cnf(c_0_390,negated_conjecture,
( epred21_0
| epred13_0
| hskp29
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_261,c_0_283]) ).
cnf(c_0_391,negated_conjecture,
( epred24_0
| epred17_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_286,c_0_333]) ).
cnf(c_0_392,negated_conjecture,
( epred24_0
| epred17_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_294,c_0_285]) ).
cnf(c_0_393,negated_conjecture,
( epred20_0
| epred13_0
| hskp28
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_394,negated_conjecture,
( epred35_0
| epred13_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_263,c_0_336]) ).
cnf(c_0_395,negated_conjecture,
( c1_1(a608)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_396,negated_conjecture,
( ~ c0_1(a608)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_397,negated_conjecture,
( ~ c3_1(a608)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_398,negated_conjecture,
( epred19_0
| epred12_0
| hskp7
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_70,c_0_337]) ).
cnf(c_0_399,negated_conjecture,
( epred19_0
| epred12_0
| hskp7
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_97,c_0_338]) ).
cnf(c_0_400,negated_conjecture,
( epred26_0
| epred22_0
| epred17_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_229,c_0_339]) ).
cnf(c_0_401,negated_conjecture,
( epred13_0
| ~ hskp28
| ~ c0_1(a595) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_72]),c_0_226]) ).
cnf(c_0_402,negated_conjecture,
( epred24_0
| ~ hskp5
| ~ c0_1(a599) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_340]),c_0_341]) ).
cnf(c_0_403,negated_conjecture,
( epred43_0
| c0_1(a599)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_340]),c_0_341]) ).
cnf(c_0_404,negated_conjecture,
( c3_1(a602)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_405,negated_conjecture,
( c2_1(a602)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_406,negated_conjecture,
( ~ c0_1(a602)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_407,negated_conjecture,
( epred43_0
| c0_1(a595)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_73]),c_0_226]) ).
cnf(c_0_408,negated_conjecture,
( epred8_0
| ~ hskp26
| ~ c2_1(a667) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_342]),c_0_249]) ).
cnf(c_0_409,negated_conjecture,
( epred22_0
| epred13_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_261,c_0_292]) ).
cnf(c_0_410,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_343]) ).
cnf(c_0_411,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_344]) ).
cnf(c_0_412,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_345]) ).
cnf(c_0_413,negated_conjecture,
( hskp29
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_346]) ).
cnf(c_0_414,negated_conjecture,
( hskp24
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_347]) ).
cnf(c_0_415,negated_conjecture,
( hskp18
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_348]) ).
cnf(c_0_416,negated_conjecture,
( hskp14
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_349]) ).
cnf(c_0_417,negated_conjecture,
( hskp30
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_350]) ).
cnf(c_0_418,negated_conjecture,
( hskp9
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_351]) ).
cnf(c_0_419,negated_conjecture,
( hskp29
| c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_352]) ).
cnf(c_0_420,negated_conjecture,
( hskp7
| c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_353]) ).
cnf(c_0_421,negated_conjecture,
( hskp11
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_354]) ).
cnf(c_0_422,negated_conjecture,
( epred24_0
| epred15_0
| epred41_0
| epred34_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_423,negated_conjecture,
( epred39_0
| epred24_0
| hskp18
| epred41_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_424,negated_conjecture,
( epred40_0
| epred17_0
| epred10_0
| hskp28
| hskp10 ),
inference(spm,[status(thm)],[c_0_359,c_0_77]) ).
cnf(c_0_425,negated_conjecture,
( epred49_0
| epred37_0
| epred24_0
| epred15_0
| ~ epred44_0
| ~ epred34_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_360]) ).
cnf(c_0_426,negated_conjecture,
( epred39_0
| hskp18
| epred23_0
| hskp9
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_427,negated_conjecture,
( epred26_0
| epred17_0
| epred33_0
| epred13_0
| epred10_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_273,c_0_363]) ).
cnf(c_0_428,negated_conjecture,
( hskp4
| hskp3
| c1_1(a667)
| c0_1(a667)
| epred34_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_429,negated_conjecture,
( epred15_0
| c2_1(a624)
| epred21_0
| hskp29
| ~ c0_1(a624)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_114,c_0_366]) ).
cnf(c_0_430,negated_conjecture,
( epred43_0
| epred34_0
| epred23_0
| hskp9
| c0_1(a625)
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_120,c_0_367]) ).
cnf(c_0_431,negated_conjecture,
( hskp28
| hskp7
| c3_1(a667)
| c0_1(a667)
| epred36_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_432,negated_conjecture,
( epred29_0
| hskp18
| c1_1(a667)
| c3_1(a667)
| epred36_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_122,c_0_369]) ).
cnf(c_0_433,negated_conjecture,
( epred15_0
| c2_1(a603)
| epred7_0
| hskp11
| ~ c0_1(a603)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_114,c_0_370]) ).
cnf(c_0_434,negated_conjecture,
( epred13_0
| epred11_0
| epred4_0
| ~ c0_1(a672)
| ~ hskp31 ),
inference(spm,[status(thm)],[c_0_371,c_0_247]) ).
cnf(c_0_435,negated_conjecture,
( hskp18
| hskp17
| c1_1(a600)
| c2_1(a600)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_436,negated_conjecture,
( hskp10
| hskp5
| c2_1(a651)
| ~ c3_1(a651)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_374,c_0_30]) ).
cnf(c_0_437,negated_conjecture,
( hskp29
| hskp6
| c2_1(a651)
| ~ c3_1(a651)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_375,c_0_30]) ).
cnf(c_0_438,negated_conjecture,
( epred46_0
| epred20_0
| hskp28
| c0_1(a667)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_250,c_0_376]) ).
cnf(c_0_439,negated_conjecture,
( hskp14
| hskp8
| c0_1(a651)
| ~ c3_1(a651)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_377,c_0_30]) ).
cnf(c_0_440,negated_conjecture,
( epred52_0
| c0_1(a604)
| ~ c2_1(a604)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_378,c_0_15]) ).
cnf(c_0_441,negated_conjecture,
( epred52_0
| c0_1(a595)
| ~ c2_1(a595)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_378,c_0_72]) ).
cnf(c_0_442,negated_conjecture,
( epred41_0
| epred24_0
| epred15_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_355,c_0_358]) ).
cnf(c_0_443,negated_conjecture,
( epred42_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_11]),c_0_90]),c_0_91]) ).
cnf(c_0_444,negated_conjecture,
( epred53_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_280]),c_0_321]) ).
cnf(c_0_445,negated_conjecture,
( epred39_0
| hskp18
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_381]),c_0_306]),c_0_307]) ).
cnf(c_0_446,negated_conjecture,
( epred44_0
| epred29_0
| epred26_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_274]),c_0_383]) ).
cnf(c_0_447,negated_conjecture,
( epred53_0
| epred49_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386]),c_0_328]) ).
cnf(c_0_448,negated_conjecture,
( epred26_0
| epred21_0
| epred17_0
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_181]),c_0_388]) ).
cnf(c_0_449,negated_conjecture,
( epred53_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_389]),c_0_243]) ).
cnf(c_0_450,negated_conjecture,
( epred23_0
| epred15_0
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_362]),c_0_4]) ).
cnf(c_0_451,negated_conjecture,
( epred24_0
| epred21_0
| epred17_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_392]) ).
cnf(c_0_452,negated_conjecture,
( epred35_0
| epred20_0
| epred13_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_453,negated_conjecture,
( epred53_0
| epred20_0
| hskp28
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_32,c_0_269]) ).
cnf(c_0_454,negated_conjecture,
( epred20_0
| hskp28
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_395]),c_0_396]),c_0_397]) ).
cnf(c_0_455,negated_conjecture,
( epred19_0
| epred12_0
| hskp7
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_100]),c_0_399]) ).
cnf(c_0_456,negated_conjecture,
( epred26_0
| epred22_0
| epred17_0
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_181]),c_0_388]) ).
cnf(c_0_457,negated_conjecture,
( epred53_0
| epred13_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_401,c_0_104]) ).
cnf(c_0_458,negated_conjecture,
( epred49_0
| epred26_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_208,c_0_129]) ).
cnf(c_0_459,negated_conjecture,
( epred43_0
| epred24_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_460,negated_conjecture,
( epred43_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_404]),c_0_405]),c_0_406]) ).
cnf(c_0_461,negated_conjecture,
( epred43_0
| epred24_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_298,c_0_407]) ).
cnf(c_0_462,negated_conjecture,
( epred36_0
| epred8_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_408,c_0_369]) ).
cnf(c_0_463,negated_conjecture,
( epred24_0
| epred22_0
| epred17_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_391]) ).
cnf(c_0_464,negated_conjecture,
( epred22_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_381]),c_0_306]),c_0_307]) ).
cnf(c_0_465,negated_conjecture,
( epred4_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_136]),c_0_46]),c_0_45]) ).
cnf(c_0_466,negated_conjecture,
( ~ epred53_0
| ~ epred52_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_410,c_0_318]),c_0_6]),c_0_126]) ).
cnf(c_0_467,negated_conjecture,
( ~ epred49_0
| ~ epred34_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_411,c_0_65]),c_0_66]),c_0_177]) ).
cnf(c_0_468,negated_conjecture,
( ~ epred46_0
| ~ epred44_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_412,c_0_265]),c_0_128]),c_0_175]) ).
cnf(c_0_469,negated_conjecture,
( ~ epred41_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_413,c_0_210]),c_0_177]) ).
cnf(c_0_470,negated_conjecture,
( ~ epred40_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_414,c_0_212]),c_0_175]) ).
cnf(c_0_471,negated_conjecture,
( ~ epred39_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_415,c_0_211]),c_0_177]) ).
cnf(c_0_472,negated_conjecture,
( ~ epred37_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_416,c_0_113]),c_0_177]) ).
cnf(c_0_473,negated_conjecture,
( ~ epred33_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_417,c_0_178]),c_0_175]) ).
cnf(c_0_474,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_418,c_0_150]),c_0_175]) ).
cnf(c_0_475,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_419,c_0_207]),c_0_209]) ).
cnf(c_0_476,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_420,c_0_251]),c_0_177]) ).
cnf(c_0_477,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_421,c_0_264]),c_0_293]) ).
cnf(c_0_478,negated_conjecture,
( ~ c2_1(a603)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_479,negated_conjecture,
( ~ c1_1(a600)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_480,negated_conjecture,
( ~ c2_1(a600)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_481,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_359,c_0_443,c_0_444,c_0_445,c_0_357,c_0_222,c_0_446,c_0_447,c_0_147,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_393,c_0_453,c_0_322,c_0_454,c_0_455,c_0_456,c_0_457,c_0_161,c_0_458,c_0_188,c_0_459,c_0_460,c_0_461,c_0_244,c_0_462,c_0_81,c_0_270,c_0_463,c_0_464,c_0_286,c_0_144,c_0_401,c_0_263,c_0_465,c_0_110,c_0_301,c_0_466,c_0_467,c_0_240,c_0_468,c_0_238,c_0_233,c_0_326,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_241,c_0_474,c_0_475,c_0_324,c_0_476,c_0_170,c_0_477,c_0_248,c_0_250,c_0_249,c_0_115,c_0_91,c_0_307,c_0_16,c_0_478,c_0_479,c_0_480,c_0_31,c_0_85,c_0_306,c_0_310,c_0_226,c_0_96,c_0_290,c_0_111,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN471+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 : n006.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 08:35:46 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 5.90/4.31 % Version : CSE_E---1.7
% 5.90/4.31 % Problem : theBenchmark.p
% 5.90/4.31 % SZS status Theorem for theBenchmark.p
% 5.90/4.31 % SZS output start CNFRefutation
% See solution above
% 5.90/4.33 % Total time : 3.369s
%------------------------------------------------------------------------------