%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN511+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 05:38:53 PM UTC 2026
% Result : Theorem 4.44s 3.20s
% Output : CNFRefutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 294 ( 2 unt; 0 def)
% Number of atoms : 3609 ( 0 equ)
% Maximal formula atoms : 867 ( 12 avg)
% Number of connectives : 5007 (1692 ~;2423 |; 609 &)
% ( 29 <=>; 254 =>; 0 <=; 0 <~>)
% Maximal formula depth : 333 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 66 ( 65 usr; 62 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 544 ( 0 sgn 410 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a668)
& ~ c2_1(a668)
& ~ c3_1(a668) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a669)
& ~ c1_1(a669)
& ~ c2_1(a669) ) )
& ( ~ hskp2
| ( ndr1_0
& c3_1(a670)
& ~ c0_1(a670)
& ~ c1_1(a670) ) )
& ( ~ hskp3
| ( ndr1_0
& c2_1(a671)
& ~ c0_1(a671)
& ~ c1_1(a671) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c0_1(a672)
& ~ c1_1(a672)
& ~ c2_1(a672) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a673)
& ~ c2_1(a673)
& ~ c3_1(a673) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a674)
& c3_1(a674)
& ~ c1_1(a674) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a675)
& c3_1(a675)
& ~ c2_1(a675) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a679)
& c3_1(a679)
& ~ c0_1(a679) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a680)
& ~ c1_1(a680)
& ~ c3_1(a680) ) )
& ( ~ hskp10
| ( ndr1_0
& c2_1(a681)
& c3_1(a681)
& ~ c0_1(a681) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a683)
& c3_1(a683)
& ~ c2_1(a683) ) )
& ( ~ hskp12
| ( ndr1_0
& c3_1(a684)
& ~ c0_1(a684)
& ~ c2_1(a684) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a688)
& c1_1(a688)
& ~ c3_1(a688) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a696)
& c2_1(a696)
& ~ c3_1(a696) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a700)
& ~ c0_1(a700)
& ~ c3_1(a700) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a702)
& c3_1(a702)
& ~ c1_1(a702) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a703)
& ~ c0_1(a703)
& ~ c2_1(a703) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a708)
& ~ c1_1(a708)
& ~ c2_1(a708) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a710)
& c2_1(a710)
& ~ c0_1(a710) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a711)
& c1_1(a711)
& ~ c2_1(a711) ) )
& ( ~ hskp21
| ( ndr1_0
& c0_1(a715)
& ~ c2_1(a715)
& ~ c3_1(a715) ) )
& ( ~ hskp22
| ( ndr1_0
& c1_1(a716)
& c2_1(a716)
& ~ c3_1(a716) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a730)
& c2_1(a730)
& ~ c1_1(a730) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a731)
& ~ c1_1(a731)
& ~ c3_1(a731) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c0_1(a760)
& ~ c1_1(a760)
& ~ c3_1(a760) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a762)
& ~ c0_1(a762)
& ~ c3_1(a762) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a676)
& c1_1(a676)
& c2_1(a676) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a678)
& c1_1(a678)
& c3_1(a678) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a725)
& c2_1(a725)
& c3_1(a725) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a753)
& c2_1(a753)
& c3_1(a753) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) )
| hskp0 )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| hskp1
| hskp2 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| hskp3
| hskp4 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c3_1(X6)
| ~ c2_1(X6) ) )
| hskp5 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c3_1(X7) ) )
| hskp6
| hskp7 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| ~ c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c2_1(X9)
| ~ c1_1(X9) ) )
| hskp27 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c1_1(X11)
| c2_1(X11)
| ~ c3_1(X11) ) )
| hskp5 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c1_1(X13)
| c3_1(X13)
| ~ c0_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c1_1(X14)
| ~ c3_1(X14) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) )
| hskp28 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17) ) )
| hskp8
| hskp9 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| hskp10
| hskp2 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| ~ c1_1(X20)
| ~ c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c2_1(X21)
| ~ c0_1(X21)
| ~ c3_1(X21) ) ) )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c1_1(X22)
| ~ c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| ~ c2_1(X23)
| ~ c3_1(X23) ) )
| hskp11 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c2_1(X25)
| ~ c0_1(X25)
| ~ c1_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c0_1(X26)
| ~ c2_1(X26)
| ~ c3_1(X26) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c1_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c1_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) )
| hskp12 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30) ) )
| hskp6 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| c3_1(X31) ) )
| hskp28
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| c3_1(X32) ) )
| hskp13
| hskp9 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| ~ c1_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c2_1(X37)
| ~ c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c2_1(X43)
| ~ c0_1(X43)
| ~ c3_1(X43) ) )
| hskp7 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45) ) )
| hskp0 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c0_1(X47)
| ~ c3_1(X47) ) )
| hskp8 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c2_1(X49)
| ~ c0_1(X49)
| ~ c1_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| ~ c1_1(X50)
| ~ c3_1(X50) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c3_1(X51)
| ~ c1_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| ~ c0_1(X52)
| ~ c3_1(X52) ) )
| hskp12 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54) ) )
| hskp4 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c0_1(X57)
| ~ c1_1(X57)
| ~ c3_1(X57) ) ) )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| c3_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| c3_1(X59)
| ~ c1_1(X59) ) )
| hskp10 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| c3_1(X60)
| ~ c2_1(X60) ) )
| hskp14
| hskp1 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c2_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) ) )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c2_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65) ) )
| hskp27 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c1_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| ~ c0_1(X67)
| ~ c3_1(X67) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( c0_1(X68)
| ~ c1_1(X68)
| ~ c2_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| ~ c0_1(X70)
| ~ c1_1(X70) ) ) )
& ( ! [X71] :
( ndr1_0
=> ( c0_1(X71)
| ~ c1_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| ~ c0_1(X72)
| ~ c1_1(X72) ) )
| hskp10 )
& ( ! [X73] :
( ndr1_0
=> ( c0_1(X73)
| ~ c1_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74) ) )
| hskp15 )
& ( ! [X75] :
( ndr1_0
=> ( c0_1(X75)
| ~ c1_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76) ) )
| hskp3 )
& ( ! [X77] :
( ndr1_0
=> ( c0_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp16 )
& ( ! [X79] :
( ndr1_0
=> ( c0_1(X79)
| ~ c1_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c2_1(X80) ) )
| hskp17 )
& ( ! [X81] :
( ndr1_0
=> ( c0_1(X81)
| ~ c1_1(X81)
| ~ c3_1(X81) ) )
| hskp6
| hskp4 )
& ( ! [X82] :
( ndr1_0
=> ( c0_1(X82)
| ~ c2_1(X82)
| ~ c3_1(X82) ) )
| hskp11
| hskp16 )
& ( ! [X83] :
( ndr1_0
=> ( c1_1(X83)
| c2_1(X83)
| c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) )
| hskp18 )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c2_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| hskp6 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c2_1(X87)
| ~ c0_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp19 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| c2_1(X89)
| ~ c0_1(X89) ) )
| hskp20
| hskp13 )
& ( ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| c2_1(X90)
| ~ c0_1(X90) ) )
| hskp1
| hskp15 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| c2_1(X91)
| ~ c0_1(X91) ) )
| hskp21
| hskp22 )
& ( ! [X92] :
( ndr1_0
=> ( c1_1(X92)
| c2_1(X92)
| ~ c0_1(X92) ) )
| hskp9
| hskp2 )
& ( ! [X93] :
( ndr1_0
=> ( c1_1(X93)
| c2_1(X93)
| ~ c3_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( c3_1(X94)
| ~ c1_1(X94)
| ~ c2_1(X94) ) )
| hskp10 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| c2_1(X95)
| ~ c3_1(X95) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp16 )
& ( ! [X97] :
( ndr1_0
=> ( c1_1(X97)
| c2_1(X97)
| ~ c3_1(X97) ) )
| hskp20
| hskp0 )
& ( ! [X98] :
( ndr1_0
=> ( c1_1(X98)
| c3_1(X98)
| ~ c0_1(X98) ) )
| ! [X99] :
( ndr1_0
=> ( c1_1(X99)
| c3_1(X99)
| ~ c2_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) ) )
& ( ! [X101] :
( ndr1_0
=> ( c1_1(X101)
| c3_1(X101)
| ~ c0_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| ! [X103] :
( ndr1_0
=> ( ~ c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) ) )
& ( ! [X104] :
( ndr1_0
=> ( c1_1(X104)
| c3_1(X104)
| ~ c0_1(X104) ) )
| hskp20
| hskp19 )
& ( ! [X105] :
( ndr1_0
=> ( c1_1(X105)
| c3_1(X105)
| ~ c0_1(X105) ) )
| hskp29
| hskp15 )
& ( ! [X106] :
( ndr1_0
=> ( c1_1(X106)
| c3_1(X106)
| ~ c2_1(X106) ) )
| ! [X107] :
( ndr1_0
=> ( c1_1(X107)
| ~ c2_1(X107)
| ~ c3_1(X107) ) )
| hskp13 )
& ( ! [X108] :
( ndr1_0
=> ( c1_1(X108)
| c3_1(X108)
| ~ c2_1(X108) ) )
| ! [X109] :
( ndr1_0
=> ( c2_1(X109)
| ~ c0_1(X109)
| ~ c3_1(X109) ) )
| ! [X110] :
( ndr1_0
=> ( c3_1(X110)
| ~ c0_1(X110)
| ~ c2_1(X110) ) ) )
& ( ! [X111] :
( ndr1_0
=> ( c1_1(X111)
| c3_1(X111)
| ~ c2_1(X111) ) )
| hskp27
| hskp1 )
& ( ! [X112] :
( ndr1_0
=> ( c1_1(X112)
| ~ c0_1(X112)
| ~ c2_1(X112) ) )
| ! [X113] :
( ndr1_0
=> ( c1_1(X113)
| ~ c2_1(X113)
| ~ c3_1(X113) ) )
| hskp23 )
& ( ! [X114] :
( ndr1_0
=> ( c1_1(X114)
| ~ c0_1(X114)
| ~ c2_1(X114) ) )
| hskp24
| hskp19 )
& ( ! [X115] :
( ndr1_0
=> ( c2_1(X115)
| c3_1(X115)
| ~ c1_1(X115) ) )
| ! [X116] :
( ndr1_0
=> ( ~ c0_1(X116)
| ~ c2_1(X116)
| ~ c3_1(X116) ) )
| hskp5 )
& ( ! [X117] :
( ndr1_0
=> ( c2_1(X117)
| ~ c0_1(X117)
| ~ c3_1(X117) ) )
| hskp15
| hskp4 )
& ( ! [X118] :
( ndr1_0
=> ( c2_1(X118)
| ~ c1_1(X118)
| ~ c3_1(X118) ) )
| hskp28
| hskp10 )
& ( ! [X119] :
( ndr1_0
=> ( c2_1(X119)
| ~ c1_1(X119)
| ~ c3_1(X119) ) )
| hskp14
| hskp17 )
& ( ! [X120] :
( ndr1_0
=> ( c3_1(X120)
| ~ c0_1(X120)
| ~ c1_1(X120) ) )
| hskp14
| hskp24 )
& ( ! [X121] :
( ndr1_0
=> ( c3_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121) ) )
| ! [X122] :
( ndr1_0
=> ( ~ c0_1(X122)
| ~ c2_1(X122)
| ~ c3_1(X122) ) )
| hskp21 )
& ( ! [X123] :
( ndr1_0
=> ( c3_1(X123)
| ~ c1_1(X123)
| ~ c2_1(X123) ) )
| hskp1
| hskp21 )
& ( ! [X124] :
( ndr1_0
=> ( ~ c0_1(X124)
| ~ c1_1(X124)
| ~ c2_1(X124) ) )
| hskp9
| hskp5 )
& ( ! [X125] :
( ndr1_0
=> ( ~ c0_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125) ) )
| ! [X126] :
( ndr1_0
=> ( ~ c1_1(X126)
| ~ c2_1(X126)
| ~ c3_1(X126) ) ) )
& ( ! [X127] :
( ndr1_0
=> ( ~ c1_1(X127)
| ~ c2_1(X127)
| ~ c3_1(X127) ) )
| hskp23
| hskp16 )
& ( hskp27
| hskp24
| hskp18 )
& ( hskp28
| hskp30
| hskp11 )
& ( hskp28
| hskp19
| hskp9 )
& ( hskp13
| hskp12
| hskp25 )
& ( hskp30
| hskp26
| hskp12 )
& ( hskp11
| hskp21
| hskp2 )
& ( hskp24
| hskp18
| hskp4 )
& ( hskp29
| hskp0
| hskp16 )
& ( hskp22
| hskp8
| hskp0 )
& ( hskp7
| hskp25
| hskp5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a668)
& ~ c2_1(a668)
& ~ c3_1(a668) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a669)
& ~ c1_1(a669)
& ~ c2_1(a669) ) )
& ( ~ hskp2
| ( ndr1_0
& c3_1(a670)
& ~ c0_1(a670)
& ~ c1_1(a670) ) )
& ( ~ hskp3
| ( ndr1_0
& c2_1(a671)
& ~ c0_1(a671)
& ~ c1_1(a671) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c0_1(a672)
& ~ c1_1(a672)
& ~ c2_1(a672) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a673)
& ~ c2_1(a673)
& ~ c3_1(a673) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a674)
& c3_1(a674)
& ~ c1_1(a674) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a675)
& c3_1(a675)
& ~ c2_1(a675) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a679)
& c3_1(a679)
& ~ c0_1(a679) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a680)
& ~ c1_1(a680)
& ~ c3_1(a680) ) )
& ( ~ hskp10
| ( ndr1_0
& c2_1(a681)
& c3_1(a681)
& ~ c0_1(a681) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a683)
& c3_1(a683)
& ~ c2_1(a683) ) )
& ( ~ hskp12
| ( ndr1_0
& c3_1(a684)
& ~ c0_1(a684)
& ~ c2_1(a684) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a688)
& c1_1(a688)
& ~ c3_1(a688) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a696)
& c2_1(a696)
& ~ c3_1(a696) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a700)
& ~ c0_1(a700)
& ~ c3_1(a700) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a702)
& c3_1(a702)
& ~ c1_1(a702) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a703)
& ~ c0_1(a703)
& ~ c2_1(a703) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a708)
& ~ c1_1(a708)
& ~ c2_1(a708) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a710)
& c2_1(a710)
& ~ c0_1(a710) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a711)
& c1_1(a711)
& ~ c2_1(a711) ) )
& ( ~ hskp21
| ( ndr1_0
& c0_1(a715)
& ~ c2_1(a715)
& ~ c3_1(a715) ) )
& ( ~ hskp22
| ( ndr1_0
& c1_1(a716)
& c2_1(a716)
& ~ c3_1(a716) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a730)
& c2_1(a730)
& ~ c1_1(a730) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a731)
& ~ c1_1(a731)
& ~ c3_1(a731) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c0_1(a760)
& ~ c1_1(a760)
& ~ c3_1(a760) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a762)
& ~ c0_1(a762)
& ~ c3_1(a762) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a676)
& c1_1(a676)
& c2_1(a676) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a678)
& c1_1(a678)
& c3_1(a678) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a725)
& c2_1(a725)
& c3_1(a725) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a753)
& c2_1(a753)
& c3_1(a753) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) )
| hskp0 )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| hskp1
| hskp2 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| hskp3
| hskp4 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c3_1(X6)
| ~ c2_1(X6) ) )
| hskp5 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c3_1(X7) ) )
| hskp6
| hskp7 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| ~ c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c2_1(X9)
| ~ c1_1(X9) ) )
| hskp27 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c1_1(X11)
| c2_1(X11)
| ~ c3_1(X11) ) )
| hskp5 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c1_1(X13)
| c3_1(X13)
| ~ c0_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c1_1(X14)
| ~ c3_1(X14) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) )
| hskp28 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17) ) )
| hskp8
| hskp9 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| hskp10
| hskp2 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| ~ c1_1(X20)
| ~ c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c2_1(X21)
| ~ c0_1(X21)
| ~ c3_1(X21) ) ) )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c1_1(X22)
| ~ c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| ~ c2_1(X23)
| ~ c3_1(X23) ) )
| hskp11 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c2_1(X25)
| ~ c0_1(X25)
| ~ c1_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c0_1(X26)
| ~ c2_1(X26)
| ~ c3_1(X26) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c1_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c1_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) )
| hskp12 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30) ) )
| hskp6 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| c3_1(X31) ) )
| hskp28
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| c3_1(X32) ) )
| hskp13
| hskp9 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| ~ c1_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c2_1(X37)
| ~ c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c2_1(X43)
| ~ c0_1(X43)
| ~ c3_1(X43) ) )
| hskp7 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45) ) )
| hskp0 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c0_1(X47)
| ~ c3_1(X47) ) )
| hskp8 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c2_1(X49)
| ~ c0_1(X49)
| ~ c1_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| ~ c1_1(X50)
| ~ c3_1(X50) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c3_1(X51)
| ~ c1_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| ~ c0_1(X52)
| ~ c3_1(X52) ) )
| hskp12 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54) ) )
| hskp4 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c0_1(X57)
| ~ c1_1(X57)
| ~ c3_1(X57) ) ) )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| c3_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| c3_1(X59)
| ~ c1_1(X59) ) )
| hskp10 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| c3_1(X60)
| ~ c2_1(X60) ) )
| hskp14
| hskp1 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c2_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) ) )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c2_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65) ) )
| hskp27 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c1_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| ~ c0_1(X67)
| ~ c3_1(X67) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( c0_1(X68)
| ~ c1_1(X68)
| ~ c2_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| ~ c0_1(X70)
| ~ c1_1(X70) ) ) )
& ( ! [X71] :
( ndr1_0
=> ( c0_1(X71)
| ~ c1_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| ~ c0_1(X72)
| ~ c1_1(X72) ) )
| hskp10 )
& ( ! [X73] :
( ndr1_0
=> ( c0_1(X73)
| ~ c1_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74) ) )
| hskp15 )
& ( ! [X75] :
( ndr1_0
=> ( c0_1(X75)
| ~ c1_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76) ) )
| hskp3 )
& ( ! [X77] :
( ndr1_0
=> ( c0_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp16 )
& ( ! [X79] :
( ndr1_0
=> ( c0_1(X79)
| ~ c1_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c2_1(X80) ) )
| hskp17 )
& ( ! [X81] :
( ndr1_0
=> ( c0_1(X81)
| ~ c1_1(X81)
| ~ c3_1(X81) ) )
| hskp6
| hskp4 )
& ( ! [X82] :
( ndr1_0
=> ( c0_1(X82)
| ~ c2_1(X82)
| ~ c3_1(X82) ) )
| hskp11
| hskp16 )
& ( ! [X83] :
( ndr1_0
=> ( c1_1(X83)
| c2_1(X83)
| c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) )
| hskp18 )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c2_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| hskp6 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c2_1(X87)
| ~ c0_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp19 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| c2_1(X89)
| ~ c0_1(X89) ) )
| hskp20
| hskp13 )
& ( ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| c2_1(X90)
| ~ c0_1(X90) ) )
| hskp1
| hskp15 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| c2_1(X91)
| ~ c0_1(X91) ) )
| hskp21
| hskp22 )
& ( ! [X92] :
( ndr1_0
=> ( c1_1(X92)
| c2_1(X92)
| ~ c0_1(X92) ) )
| hskp9
| hskp2 )
& ( ! [X93] :
( ndr1_0
=> ( c1_1(X93)
| c2_1(X93)
| ~ c3_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( c3_1(X94)
| ~ c1_1(X94)
| ~ c2_1(X94) ) )
| hskp10 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| c2_1(X95)
| ~ c3_1(X95) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp16 )
& ( ! [X97] :
( ndr1_0
=> ( c1_1(X97)
| c2_1(X97)
| ~ c3_1(X97) ) )
| hskp20
| hskp0 )
& ( ! [X98] :
( ndr1_0
=> ( c1_1(X98)
| c3_1(X98)
| ~ c0_1(X98) ) )
| ! [X99] :
( ndr1_0
=> ( c1_1(X99)
| c3_1(X99)
| ~ c2_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) ) )
& ( ! [X101] :
( ndr1_0
=> ( c1_1(X101)
| c3_1(X101)
| ~ c0_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| ! [X103] :
( ndr1_0
=> ( ~ c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) ) )
& ( ! [X104] :
( ndr1_0
=> ( c1_1(X104)
| c3_1(X104)
| ~ c0_1(X104) ) )
| hskp20
| hskp19 )
& ( ! [X105] :
( ndr1_0
=> ( c1_1(X105)
| c3_1(X105)
| ~ c0_1(X105) ) )
| hskp29
| hskp15 )
& ( ! [X106] :
( ndr1_0
=> ( c1_1(X106)
| c3_1(X106)
| ~ c2_1(X106) ) )
| ! [X107] :
( ndr1_0
=> ( c1_1(X107)
| ~ c2_1(X107)
| ~ c3_1(X107) ) )
| hskp13 )
& ( ! [X108] :
( ndr1_0
=> ( c1_1(X108)
| c3_1(X108)
| ~ c2_1(X108) ) )
| ! [X109] :
( ndr1_0
=> ( c2_1(X109)
| ~ c0_1(X109)
| ~ c3_1(X109) ) )
| ! [X110] :
( ndr1_0
=> ( c3_1(X110)
| ~ c0_1(X110)
| ~ c2_1(X110) ) ) )
& ( ! [X111] :
( ndr1_0
=> ( c1_1(X111)
| c3_1(X111)
| ~ c2_1(X111) ) )
| hskp27
| hskp1 )
& ( ! [X112] :
( ndr1_0
=> ( c1_1(X112)
| ~ c0_1(X112)
| ~ c2_1(X112) ) )
| ! [X113] :
( ndr1_0
=> ( c1_1(X113)
| ~ c2_1(X113)
| ~ c3_1(X113) ) )
| hskp23 )
& ( ! [X114] :
( ndr1_0
=> ( c1_1(X114)
| ~ c0_1(X114)
| ~ c2_1(X114) ) )
| hskp24
| hskp19 )
& ( ! [X115] :
( ndr1_0
=> ( c2_1(X115)
| c3_1(X115)
| ~ c1_1(X115) ) )
| ! [X116] :
( ndr1_0
=> ( ~ c0_1(X116)
| ~ c2_1(X116)
| ~ c3_1(X116) ) )
| hskp5 )
& ( ! [X117] :
( ndr1_0
=> ( c2_1(X117)
| ~ c0_1(X117)
| ~ c3_1(X117) ) )
| hskp15
| hskp4 )
& ( ! [X118] :
( ndr1_0
=> ( c2_1(X118)
| ~ c1_1(X118)
| ~ c3_1(X118) ) )
| hskp28
| hskp10 )
& ( ! [X119] :
( ndr1_0
=> ( c2_1(X119)
| ~ c1_1(X119)
| ~ c3_1(X119) ) )
| hskp14
| hskp17 )
& ( ! [X120] :
( ndr1_0
=> ( c3_1(X120)
| ~ c0_1(X120)
| ~ c1_1(X120) ) )
| hskp14
| hskp24 )
& ( ! [X121] :
( ndr1_0
=> ( c3_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121) ) )
| ! [X122] :
( ndr1_0
=> ( ~ c0_1(X122)
| ~ c2_1(X122)
| ~ c3_1(X122) ) )
| hskp21 )
& ( ! [X123] :
( ndr1_0
=> ( c3_1(X123)
| ~ c1_1(X123)
| ~ c2_1(X123) ) )
| hskp1
| hskp21 )
& ( ! [X124] :
( ndr1_0
=> ( ~ c0_1(X124)
| ~ c1_1(X124)
| ~ c2_1(X124) ) )
| hskp9
| hskp5 )
& ( ! [X125] :
( ndr1_0
=> ( ~ c0_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125) ) )
| ! [X126] :
( ndr1_0
=> ( ~ c1_1(X126)
| ~ c2_1(X126)
| ~ c3_1(X126) ) ) )
& ( ! [X127] :
( ndr1_0
=> ( ~ c1_1(X127)
| ~ c2_1(X127)
| ~ c3_1(X127) ) )
| hskp23
| hskp16 )
& ( hskp27
| hskp24
| hskp18 )
& ( hskp28
| hskp30
| hskp11 )
& ( hskp28
| hskp19
| hskp9 )
& ( hskp13
| hskp12
| hskp25 )
& ( hskp30
| hskp26
| hskp12 )
& ( hskp11
| hskp21
| hskp2 )
& ( hskp24
| hskp18
| hskp4 )
& ( hskp29
| hskp0
| hskp16 )
& ( hskp22
| hskp8
| hskp0 )
& ( hskp7
| hskp25
| hskp5 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274,X275,X276,X277,X278,X279,X280,X281,X282,X283,X284,X285,X286,X287,X288,X289,X290,X291,X292,X293,X294,X295,X296,X297,X298,X299,X300,X301,X302,X303,X304,X305,X306,X307,X308,X309,X310,X311,X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322,X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,X333,X334,X335,X336,X337,X338,X339,X340,X341,X342,X343,X344,X345,X346,X347,X348,X349,X350,X351,X352,X353,X354,X355,X356,X357,X358,X359,X360,X361,X362,X363,X364,X365,X366,X367,X368,X369,X370,X371,X372,X373,X374,X375,X376,X377,X378,X379,X380,X381] :
( ( ndr1_0
| ~ hskp0 )
& ( c1_1(a668)
| ~ hskp0 )
& ( ~ c2_1(a668)
| ~ hskp0 )
& ( ~ c3_1(a668)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c0_1(a669)
| ~ hskp1 )
& ( ~ c1_1(a669)
| ~ hskp1 )
& ( ~ c2_1(a669)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c3_1(a670)
| ~ hskp2 )
& ( ~ c0_1(a670)
| ~ hskp2 )
& ( ~ c1_1(a670)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c2_1(a671)
| ~ hskp3 )
& ( ~ c0_1(a671)
| ~ hskp3 )
& ( ~ c1_1(a671)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( ~ c0_1(a672)
| ~ hskp4 )
& ( ~ c1_1(a672)
| ~ hskp4 )
& ( ~ c2_1(a672)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( ~ c0_1(a673)
| ~ hskp5 )
& ( ~ c2_1(a673)
| ~ hskp5 )
& ( ~ c3_1(a673)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a674)
| ~ hskp6 )
& ( c3_1(a674)
| ~ hskp6 )
& ( ~ c1_1(a674)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c1_1(a675)
| ~ hskp7 )
& ( c3_1(a675)
| ~ hskp7 )
& ( ~ c2_1(a675)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c1_1(a679)
| ~ hskp8 )
& ( c3_1(a679)
| ~ hskp8 )
& ( ~ c0_1(a679)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c2_1(a680)
| ~ hskp9 )
& ( ~ c1_1(a680)
| ~ hskp9 )
& ( ~ c3_1(a680)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( c2_1(a681)
| ~ hskp10 )
& ( c3_1(a681)
| ~ hskp10 )
& ( ~ c0_1(a681)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c0_1(a683)
| ~ hskp11 )
& ( c3_1(a683)
| ~ hskp11 )
& ( ~ c2_1(a683)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c3_1(a684)
| ~ hskp12 )
& ( ~ c0_1(a684)
| ~ hskp12 )
& ( ~ c2_1(a684)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c0_1(a688)
| ~ hskp13 )
& ( c1_1(a688)
| ~ hskp13 )
& ( ~ c3_1(a688)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c0_1(a696)
| ~ hskp14 )
& ( c2_1(a696)
| ~ hskp14 )
& ( ~ c3_1(a696)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c2_1(a700)
| ~ hskp15 )
& ( ~ c0_1(a700)
| ~ hskp15 )
& ( ~ c3_1(a700)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c2_1(a702)
| ~ hskp16 )
& ( c3_1(a702)
| ~ hskp16 )
& ( ~ c1_1(a702)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c1_1(a703)
| ~ hskp17 )
& ( ~ c0_1(a703)
| ~ hskp17 )
& ( ~ c2_1(a703)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c3_1(a708)
| ~ hskp18 )
& ( ~ c1_1(a708)
| ~ hskp18 )
& ( ~ c2_1(a708)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( c1_1(a710)
| ~ hskp19 )
& ( c2_1(a710)
| ~ hskp19 )
& ( ~ c0_1(a710)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c0_1(a711)
| ~ hskp20 )
& ( c1_1(a711)
| ~ hskp20 )
& ( ~ c2_1(a711)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( c0_1(a715)
| ~ hskp21 )
& ( ~ c2_1(a715)
| ~ hskp21 )
& ( ~ c3_1(a715)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( c1_1(a716)
| ~ hskp22 )
& ( c2_1(a716)
| ~ hskp22 )
& ( ~ c3_1(a716)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c0_1(a730)
| ~ hskp23 )
& ( c2_1(a730)
| ~ hskp23 )
& ( ~ c1_1(a730)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c0_1(a731)
| ~ hskp24 )
& ( ~ c1_1(a731)
| ~ hskp24 )
& ( ~ c3_1(a731)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( ~ c0_1(a760)
| ~ hskp25 )
& ( ~ c1_1(a760)
| ~ hskp25 )
& ( ~ c3_1(a760)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c1_1(a762)
| ~ hskp26 )
& ( ~ c0_1(a762)
| ~ hskp26 )
& ( ~ c3_1(a762)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c0_1(a676)
| ~ hskp27 )
& ( c1_1(a676)
| ~ hskp27 )
& ( c2_1(a676)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c0_1(a678)
| ~ hskp28 )
& ( c1_1(a678)
| ~ hskp28 )
& ( c3_1(a678)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c1_1(a725)
| ~ hskp29 )
& ( c2_1(a725)
| ~ hskp29 )
& ( c3_1(a725)
| ~ hskp29 )
& ( ndr1_0
| ~ hskp30 )
& ( c0_1(a753)
| ~ hskp30 )
& ( c2_1(a753)
| ~ hskp30 )
& ( c3_1(a753)
| ~ hskp30 )
& ( ~ ndr1_0
| c0_1(X255)
| c1_1(X255)
| c2_1(X255)
| ~ ndr1_0
| c2_1(X256)
| ~ c0_1(X256)
| ~ c1_1(X256)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X257)
| c1_1(X257)
| c2_1(X257)
| hskp1
| hskp2 )
& ( ~ ndr1_0
| c0_1(X258)
| c1_1(X258)
| c2_1(X258)
| hskp3
| hskp4 )
& ( ~ ndr1_0
| c0_1(X259)
| c1_1(X259)
| c3_1(X259)
| ~ ndr1_0
| c1_1(X260)
| c3_1(X260)
| ~ c2_1(X260)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X261)
| c1_1(X261)
| c3_1(X261)
| hskp6
| hskp7 )
& ( ~ ndr1_0
| c0_1(X262)
| c1_1(X262)
| ~ c2_1(X262)
| ~ ndr1_0
| c0_1(X263)
| c2_1(X263)
| ~ c1_1(X263)
| hskp27 )
& ( ~ ndr1_0
| c0_1(X264)
| c1_1(X264)
| ~ c2_1(X264)
| ~ ndr1_0
| c1_1(X265)
| c2_1(X265)
| ~ c3_1(X265)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X266)
| c1_1(X266)
| ~ c2_1(X266)
| ~ ndr1_0
| c1_1(X267)
| c3_1(X267)
| ~ c0_1(X267)
| ~ ndr1_0
| c2_1(X268)
| ~ c1_1(X268)
| ~ c3_1(X268) )
& ( ~ ndr1_0
| c0_1(X269)
| c1_1(X269)
| ~ c2_1(X269)
| ~ ndr1_0
| ~ c0_1(X270)
| ~ c2_1(X270)
| ~ c3_1(X270)
| hskp28 )
& ( ~ ndr1_0
| c0_1(X271)
| c1_1(X271)
| ~ c2_1(X271)
| hskp8
| hskp9 )
& ( ~ ndr1_0
| c0_1(X272)
| c1_1(X272)
| ~ c2_1(X272)
| hskp10
| hskp2 )
& ( ~ ndr1_0
| c0_1(X273)
| c1_1(X273)
| ~ c3_1(X273)
| ~ ndr1_0
| c0_1(X274)
| ~ c1_1(X274)
| ~ c3_1(X274)
| ~ ndr1_0
| c2_1(X275)
| ~ c0_1(X275)
| ~ c3_1(X275) )
& ( ~ ndr1_0
| c0_1(X276)
| c1_1(X276)
| ~ c3_1(X276)
| ~ ndr1_0
| c1_1(X277)
| ~ c2_1(X277)
| ~ c3_1(X277)
| hskp11 )
& ( ~ ndr1_0
| c0_1(X278)
| c1_1(X278)
| ~ c3_1(X278)
| ~ ndr1_0
| c2_1(X279)
| ~ c0_1(X279)
| ~ c1_1(X279)
| ~ ndr1_0
| ~ c0_1(X280)
| ~ c2_1(X280)
| ~ c3_1(X280) )
& ( ~ ndr1_0
| c0_1(X281)
| c1_1(X281)
| ~ c3_1(X281)
| ~ ndr1_0
| ~ c1_1(X282)
| ~ c2_1(X282)
| ~ c3_1(X282)
| hskp12 )
& ( ~ ndr1_0
| c0_1(X283)
| c2_1(X283)
| c3_1(X283)
| ~ ndr1_0
| c0_1(X284)
| c2_1(X284)
| ~ c1_1(X284)
| hskp6 )
& ( ~ ndr1_0
| c0_1(X285)
| c2_1(X285)
| c3_1(X285)
| hskp28
| hskp7 )
& ( ~ ndr1_0
| c0_1(X286)
| c2_1(X286)
| c3_1(X286)
| hskp13
| hskp9 )
& ( ~ ndr1_0
| c0_1(X287)
| c2_1(X287)
| ~ c1_1(X287)
| ~ ndr1_0
| c0_1(X288)
| ~ c1_1(X288)
| ~ c3_1(X288)
| ~ ndr1_0
| ~ c1_1(X289)
| ~ c2_1(X289)
| ~ c3_1(X289) )
& ( ~ ndr1_0
| c0_1(X290)
| c2_1(X290)
| ~ c1_1(X290)
| ~ ndr1_0
| c0_1(X291)
| ~ c2_1(X291)
| ~ c3_1(X291)
| ~ ndr1_0
| c1_1(X292)
| ~ c0_1(X292)
| ~ c2_1(X292) )
& ( ~ ndr1_0
| c0_1(X293)
| c2_1(X293)
| ~ c1_1(X293)
| ~ ndr1_0
| c1_1(X294)
| ~ c2_1(X294)
| ~ c3_1(X294)
| ~ ndr1_0
| ~ c0_1(X295)
| ~ c2_1(X295)
| ~ c3_1(X295) )
& ( ~ ndr1_0
| c0_1(X296)
| c2_1(X296)
| ~ c3_1(X296)
| ~ ndr1_0
| c2_1(X297)
| ~ c0_1(X297)
| ~ c3_1(X297)
| hskp7 )
& ( ~ ndr1_0
| c0_1(X298)
| c3_1(X298)
| ~ c1_1(X298)
| ~ ndr1_0
| c0_1(X299)
| ~ c1_1(X299)
| ~ c3_1(X299)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X300)
| c3_1(X300)
| ~ c1_1(X300)
| ~ ndr1_0
| c1_1(X301)
| ~ c0_1(X301)
| ~ c3_1(X301)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X302)
| c3_1(X302)
| ~ c1_1(X302)
| ~ ndr1_0
| c2_1(X303)
| ~ c0_1(X303)
| ~ c1_1(X303)
| ~ ndr1_0
| c2_1(X304)
| ~ c1_1(X304)
| ~ c3_1(X304) )
& ( ~ ndr1_0
| c0_1(X305)
| c3_1(X305)
| ~ c1_1(X305)
| ~ ndr1_0
| c2_1(X306)
| ~ c0_1(X306)
| ~ c3_1(X306)
| hskp12 )
& ( ~ ndr1_0
| c0_1(X307)
| c3_1(X307)
| ~ c1_1(X307)
| ~ ndr1_0
| c3_1(X308)
| ~ c1_1(X308)
| ~ c2_1(X308)
| hskp4 )
& ( ~ ndr1_0
| c0_1(X309)
| c3_1(X309)
| ~ c2_1(X309)
| ~ ndr1_0
| c0_1(X310)
| ~ c1_1(X310)
| ~ c3_1(X310)
| ~ ndr1_0
| ~ c0_1(X311)
| ~ c1_1(X311)
| ~ c3_1(X311) )
& ( ~ ndr1_0
| c0_1(X312)
| c3_1(X312)
| ~ c2_1(X312)
| ~ ndr1_0
| c2_1(X313)
| c3_1(X313)
| ~ c1_1(X313)
| hskp10 )
& ( ~ ndr1_0
| c0_1(X314)
| c3_1(X314)
| ~ c2_1(X314)
| hskp14
| hskp1 )
& ( ~ ndr1_0
| c0_1(X315)
| ~ c1_1(X315)
| ~ c2_1(X315)
| ~ ndr1_0
| c0_1(X316)
| ~ c2_1(X316)
| ~ c3_1(X316)
| ~ ndr1_0
| ~ c1_1(X317)
| ~ c2_1(X317)
| ~ c3_1(X317) )
& ( ~ ndr1_0
| c0_1(X318)
| ~ c1_1(X318)
| ~ c2_1(X318)
| ~ ndr1_0
| c1_1(X319)
| c2_1(X319)
| ~ c3_1(X319)
| hskp27 )
& ( ~ ndr1_0
| c0_1(X320)
| ~ c1_1(X320)
| ~ c2_1(X320)
| ~ ndr1_0
| c1_1(X321)
| ~ c0_1(X321)
| ~ c3_1(X321) )
& ( ~ ndr1_0
| c0_1(X322)
| ~ c1_1(X322)
| ~ c2_1(X322)
| ~ ndr1_0
| c2_1(X323)
| c3_1(X323)
| ~ c0_1(X323)
| ~ ndr1_0
| c2_1(X324)
| ~ c0_1(X324)
| ~ c1_1(X324) )
& ( ~ ndr1_0
| c0_1(X325)
| ~ c1_1(X325)
| ~ c2_1(X325)
| ~ ndr1_0
| c3_1(X326)
| ~ c0_1(X326)
| ~ c1_1(X326)
| hskp10 )
& ( ~ ndr1_0
| c0_1(X327)
| ~ c1_1(X327)
| ~ c2_1(X327)
| ~ ndr1_0
| ~ c0_1(X328)
| ~ c1_1(X328)
| ~ c3_1(X328)
| hskp15 )
& ( ~ ndr1_0
| c0_1(X329)
| ~ c1_1(X329)
| ~ c3_1(X329)
| ~ ndr1_0
| c1_1(X330)
| ~ c0_1(X330)
| ~ c2_1(X330)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X331)
| ~ c1_1(X331)
| ~ c3_1(X331)
| ~ ndr1_0
| c3_1(X332)
| ~ c0_1(X332)
| ~ c1_1(X332)
| hskp16 )
& ( ~ ndr1_0
| c0_1(X333)
| ~ c1_1(X333)
| ~ c3_1(X333)
| ~ ndr1_0
| c3_1(X334)
| ~ c0_1(X334)
| ~ c2_1(X334)
| hskp17 )
& ( ~ ndr1_0
| c0_1(X335)
| ~ c1_1(X335)
| ~ c3_1(X335)
| hskp6
| hskp4 )
& ( ~ ndr1_0
| c0_1(X336)
| ~ c2_1(X336)
| ~ c3_1(X336)
| hskp11
| hskp16 )
& ( ~ ndr1_0
| c1_1(X337)
| c2_1(X337)
| c3_1(X337)
| ~ ndr1_0
| ~ c1_1(X338)
| ~ c2_1(X338)
| ~ c3_1(X338)
| hskp18 )
& ( ~ ndr1_0
| c1_1(X339)
| c2_1(X339)
| ~ c0_1(X339)
| ~ ndr1_0
| c1_1(X340)
| ~ c0_1(X340)
| ~ c3_1(X340)
| hskp6 )
& ( ~ ndr1_0
| c1_1(X341)
| c2_1(X341)
| ~ c0_1(X341)
| ~ ndr1_0
| ~ c1_1(X342)
| ~ c2_1(X342)
| ~ c3_1(X342)
| hskp19 )
& ( ~ ndr1_0
| c1_1(X343)
| c2_1(X343)
| ~ c0_1(X343)
| hskp20
| hskp13 )
& ( ~ ndr1_0
| c1_1(X344)
| c2_1(X344)
| ~ c0_1(X344)
| hskp1
| hskp15 )
& ( ~ ndr1_0
| c1_1(X345)
| c2_1(X345)
| ~ c0_1(X345)
| hskp21
| hskp22 )
& ( ~ ndr1_0
| c1_1(X346)
| c2_1(X346)
| ~ c0_1(X346)
| hskp9
| hskp2 )
& ( ~ ndr1_0
| c1_1(X347)
| c2_1(X347)
| ~ c3_1(X347)
| ~ ndr1_0
| c3_1(X348)
| ~ c1_1(X348)
| ~ c2_1(X348)
| hskp10 )
& ( ~ ndr1_0
| c1_1(X349)
| c2_1(X349)
| ~ c3_1(X349)
| ~ ndr1_0
| ~ c0_1(X350)
| ~ c1_1(X350)
| ~ c3_1(X350)
| hskp16 )
& ( ~ ndr1_0
| c1_1(X351)
| c2_1(X351)
| ~ c3_1(X351)
| hskp20
| hskp0 )
& ( ~ ndr1_0
| c1_1(X352)
| c3_1(X352)
| ~ c0_1(X352)
| ~ ndr1_0
| c1_1(X353)
| c3_1(X353)
| ~ c2_1(X353)
| ~ ndr1_0
| ~ c1_1(X354)
| ~ c2_1(X354)
| ~ c3_1(X354) )
& ( ~ ndr1_0
| c1_1(X355)
| c3_1(X355)
| ~ c0_1(X355)
| ~ ndr1_0
| c3_1(X356)
| ~ c0_1(X356)
| ~ c1_1(X356)
| ~ ndr1_0
| ~ c1_1(X357)
| ~ c2_1(X357)
| ~ c3_1(X357) )
& ( ~ ndr1_0
| c1_1(X358)
| c3_1(X358)
| ~ c0_1(X358)
| hskp20
| hskp19 )
& ( ~ ndr1_0
| c1_1(X359)
| c3_1(X359)
| ~ c0_1(X359)
| hskp29
| hskp15 )
& ( ~ ndr1_0
| c1_1(X360)
| c3_1(X360)
| ~ c2_1(X360)
| ~ ndr1_0
| c1_1(X361)
| ~ c2_1(X361)
| ~ c3_1(X361)
| hskp13 )
& ( ~ ndr1_0
| c1_1(X362)
| c3_1(X362)
| ~ c2_1(X362)
| ~ ndr1_0
| c2_1(X363)
| ~ c0_1(X363)
| ~ c3_1(X363)
| ~ ndr1_0
| c3_1(X364)
| ~ c0_1(X364)
| ~ c2_1(X364) )
& ( ~ ndr1_0
| c1_1(X365)
| c3_1(X365)
| ~ c2_1(X365)
| hskp27
| hskp1 )
& ( ~ ndr1_0
| c1_1(X366)
| ~ c0_1(X366)
| ~ c2_1(X366)
| ~ ndr1_0
| c1_1(X367)
| ~ c2_1(X367)
| ~ c3_1(X367)
| hskp23 )
& ( ~ ndr1_0
| c1_1(X368)
| ~ c0_1(X368)
| ~ c2_1(X368)
| hskp24
| hskp19 )
& ( ~ ndr1_0
| c2_1(X369)
| c3_1(X369)
| ~ c1_1(X369)
| ~ ndr1_0
| ~ c0_1(X370)
| ~ c2_1(X370)
| ~ c3_1(X370)
| hskp5 )
& ( ~ ndr1_0
| c2_1(X371)
| ~ c0_1(X371)
| ~ c3_1(X371)
| hskp15
| hskp4 )
& ( ~ ndr1_0
| c2_1(X372)
| ~ c1_1(X372)
| ~ c3_1(X372)
| hskp28
| hskp10 )
& ( ~ ndr1_0
| c2_1(X373)
| ~ c1_1(X373)
| ~ c3_1(X373)
| hskp14
| hskp17 )
& ( ~ ndr1_0
| c3_1(X374)
| ~ c0_1(X374)
| ~ c1_1(X374)
| hskp14
| hskp24 )
& ( ~ ndr1_0
| c3_1(X375)
| ~ c1_1(X375)
| ~ c2_1(X375)
| ~ ndr1_0
| ~ c0_1(X376)
| ~ c2_1(X376)
| ~ c3_1(X376)
| hskp21 )
& ( ~ ndr1_0
| c3_1(X377)
| ~ c1_1(X377)
| ~ c2_1(X377)
| hskp1
| hskp21 )
& ( ~ ndr1_0
| ~ c0_1(X378)
| ~ c1_1(X378)
| ~ c2_1(X378)
| hskp9
| hskp5 )
& ( ~ ndr1_0
| ~ c0_1(X379)
| ~ c2_1(X379)
| ~ c3_1(X379)
| ~ ndr1_0
| ~ c1_1(X380)
| ~ c2_1(X380)
| ~ c3_1(X380) )
& ( ~ ndr1_0
| ~ c1_1(X381)
| ~ c2_1(X381)
| ~ c3_1(X381)
| hskp23
| hskp16 )
& ( hskp27
| hskp24
| hskp18 )
& ( hskp28
| hskp30
| hskp11 )
& ( hskp28
| hskp19
| hskp9 )
& ( hskp13
| hskp12
| hskp25 )
& ( hskp30
| hskp26
| hskp12 )
& ( hskp11
| hskp21
| hskp2 )
& ( hskp24
| hskp18
| hskp4 )
& ( hskp29
| hskp0
| hskp16 )
& ( hskp22
| hskp8
| hskp0 )
& ( hskp7
| hskp25
| hskp5 ) ),
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
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp22
| hskp8
| hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_7,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_8,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]) ).
fof(c_0_9,plain,
( ~ epred1_0
<=> ! [X1] :
( c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
( epred3_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
( c3_1(a725)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( c2_1(a725)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( epred1_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
( c1_1(a725)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_15,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( ~ epred22_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( ~ epred26_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_18,negated_conjecture,
( epred3_0
| ~ hskp29
| ~ c0_1(a725) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( epred1_0
| c0_1(a725)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( epred4_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_22,negated_conjecture,
( c3_1(a753)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( c2_1(a753)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,negated_conjecture,
( c0_1(a753)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( c3_1(a678)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( c0_1(a678)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( epred22_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
( ~ epred52_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_29,plain,
( ~ epred14_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_30,negated_conjecture,
( epred26_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( c3_1(a702)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( c2_1(a702)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,negated_conjecture,
( ~ c1_1(a702)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
( epred3_0
| epred1_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( hskp29
| hskp0
| hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( epred4_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_11]),c_0_14]),c_0_12]) ).
cnf(c_0_37,negated_conjecture,
( epred34_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
cnf(c_0_38,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
( c3_1(a683)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( c0_1(a683)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( ~ c2_1(a683)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( epred3_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_43,negated_conjecture,
( hskp28
| hskp30
| hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( epred3_0
| ~ hskp28
| ~ c2_1(a678) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_25]),c_0_26]) ).
cnf(c_0_45,negated_conjecture,
( epred22_0
| c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]) ).
cnf(c_0_46,negated_conjecture,
( epred52_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_28]) ).
cnf(c_0_47,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,negated_conjecture,
( ~ c3_1(a668)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,negated_conjecture,
( epred14_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_29]) ).
cnf(c_0_50,negated_conjecture,
( c1_1(a668)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( ~ c2_1(a668)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,negated_conjecture,
( epred26_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_53,negated_conjecture,
( epred3_0
| epred1_0
| hskp16
| hskp0 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( epred4_0
| hskp16
| hskp0 ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_55,negated_conjecture,
( c1_1(a678)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( epred34_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_57,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_38]) ).
cnf(c_0_58,negated_conjecture,
( epred22_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_59,negated_conjecture,
( epred3_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_60,negated_conjecture,
( epred22_0
| epred3_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_61,negated_conjecture,
( epred52_0
| c0_1(a725)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_11]),c_0_12]) ).
cnf(c_0_62,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_47]) ).
cnf(c_0_63,negated_conjecture,
( epred14_0
| ~ hskp0 ),
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_64,negated_conjecture,
( epred26_0
| epred3_0
| epred1_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_65,negated_conjecture,
( epred26_0
| epred4_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
fof(c_0_66,plain,
( ~ epred2_0
<=> ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_67,plain,
( ~ epred27_0
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| hskp12
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_68,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| hskp12
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_69,negated_conjecture,
( epred4_0
| ~ hskp28
| ~ c2_1(a678) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_55]) ).
cnf(c_0_70,negated_conjecture,
( epred34_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_56,c_0_43]) ).
cnf(c_0_71,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57,c_0_7]),c_0_15]) ).
cnf(c_0_72,negated_conjecture,
( epred22_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_73,negated_conjecture,
( epred52_0
| epred3_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_18,c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( ~ epred52_0
| ~ epred4_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_62,c_0_9]),c_0_28]),c_0_15]) ).
cnf(c_0_75,negated_conjecture,
( epred26_0
| epred14_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( epred26_0
| epred14_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_65]) ).
cnf(c_0_77,negated_conjecture,
( epred2_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_66]) ).
fof(c_0_78,plain,
( ~ epred42_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_79,plain,
( ~ epred50_0
<=> ! [X3] :
( c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_80,negated_conjecture,
( epred27_0
| hskp12
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_67]),c_0_8])]) ).
cnf(c_0_81,negated_conjecture,
( c1_1(a762)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,negated_conjecture,
( ~ c3_1(a762)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_83,negated_conjecture,
( ~ c0_1(a762)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,negated_conjecture,
( hskp12
| c2_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_68]) ).
cnf(c_0_85,negated_conjecture,
( epred22_0
| epred4_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_69,c_0_45]) ).
cnf(c_0_86,negated_conjecture,
( epred34_0
| epred22_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_58,c_0_70]) ).
cnf(c_0_87,negated_conjecture,
( epred22_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_88,plain,
( ~ epred25_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp11
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_89,negated_conjecture,
( epred52_0
| epred3_0
| hskp16
| hskp0 ),
inference(spm,[status(thm)],[c_0_73,c_0_35]) ).
cnf(c_0_90,negated_conjecture,
( epred26_0
| epred14_0
| epred3_0
| ~ epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
fof(c_0_91,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_92,plain,
( ~ epred17_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_94,negated_conjecture,
( epred4_0
| ~ hskp30
| ~ c1_1(a753) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_22]),c_0_23]) ).
cnf(c_0_95,negated_conjecture,
( epred26_0
| c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23]) ).
cnf(c_0_96,negated_conjecture,
( epred2_0
| c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_22]),c_0_24]) ).
cnf(c_0_97,negated_conjecture,
( c2_1(a710)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_98,negated_conjecture,
( c1_1(a710)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_99,negated_conjecture,
( ~ c0_1(a710)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_100,plain,
( ~ epred10_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_101,plain,
( ~ epred57_0
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_102,negated_conjecture,
( epred42_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_78]) ).
cnf(c_0_103,negated_conjecture,
( epred50_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_79]) ).
cnf(c_0_104,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp8
| hskp9
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_105,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp29
| hskp15
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_106,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp20
| hskp19
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_107,negated_conjecture,
( c2_1(X1)
| hskp15
| hskp4
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_108,negated_conjecture,
( c2_1(X1)
| hskp28
| hskp10
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_109,negated_conjecture,
( c2_1(X1)
| hskp14
| hskp17
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_110,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp19
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_111,plain,
( ~ epred55_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_112,plain,
( ~ epred54_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_113,plain,
( ~ epred45_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp28
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_114,plain,
( ~ epred40_0
<=> ! [X1] :
( c0_1(X1)
| hskp16
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_115,plain,
( ~ epred38_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| hskp16
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_116,plain,
( ~ epred51_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_117,plain,
( ~ epred48_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_118,negated_conjecture,
( epred27_0
| hskp12
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_119,negated_conjecture,
( hskp30
| hskp26
| hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_120,negated_conjecture,
( ~ epred27_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_84,c_0_67]),c_0_16]) ).
cnf(c_0_121,negated_conjecture,
( epred34_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_122,negated_conjecture,
( c2_1(a681)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_123,negated_conjecture,
( ~ c0_1(a681)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_124,negated_conjecture,
( epred25_0
| hskp11
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_8])]) ).
cnf(c_0_125,negated_conjecture,
( c3_1(a681)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_126,plain,
( ~ epred21_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| hskp7
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred13_0
<=> ! [X1] :
( c3_1(X1)
| c0_1(X1)
| hskp10
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred9_0
<=> ! [X1] :
( hskp0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( epred52_0
| epred26_0
| epred3_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_52,c_0_89]) ).
cnf(c_0_130,negated_conjecture,
( epred26_0
| epred14_0
| ~ epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_90]),c_0_76]) ).
fof(c_0_131,plain,
( ~ epred49_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_132,negated_conjecture,
( epred39_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_91]) ).
cnf(c_0_133,negated_conjecture,
( c3_1(a675)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_134,negated_conjecture,
( c1_1(a675)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_135,negated_conjecture,
( epred17_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_92]) ).
cnf(c_0_136,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c3_1(X3)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_93]) ).
cnf(c_0_137,negated_conjecture,
( epred26_0
| epred4_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_138,negated_conjecture,
( epred4_0
| epred2_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_94,c_0_96]) ).
cnf(c_0_139,negated_conjecture,
( epred1_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_140,negated_conjecture,
( hskp28
| hskp19
| hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_141,negated_conjecture,
( ~ c2_1(a675)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_142,negated_conjecture,
( epred10_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_100]) ).
cnf(c_0_143,negated_conjecture,
( epred57_0
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_101]),c_0_8])]) ).
cnf(c_0_144,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_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_145,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_146,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ 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_147,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_148,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_149,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_150,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp28
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_151,negated_conjecture,
( c0_1(X1)
| c3_1(X2)
| hskp16
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_152,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp16
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_153,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp11
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_154,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp7
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_155,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp10
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_156,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp0
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_157,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_158,negated_conjecture,
( epred42_0
| epred4_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_102]) ).
cnf(c_0_159,negated_conjecture,
( epred50_0
| c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_25]),c_0_55]) ).
cnf(c_0_160,negated_conjecture,
( ~ c2_1(a711)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_161,negated_conjecture,
( epred22_0
| epred14_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_49]) ).
cnf(c_0_162,negated_conjecture,
( hskp9
| hskp8
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_8])]) ).
cnf(c_0_163,negated_conjecture,
( hskp29
| hskp15
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_8])]) ).
cnf(c_0_164,negated_conjecture,
( c0_1(a731)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_165,negated_conjecture,
( hskp20
| hskp19
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_8])]) ).
cnf(c_0_166,negated_conjecture,
( hskp15
| hskp4
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_8])]) ).
cnf(c_0_167,negated_conjecture,
( hskp28
| hskp10
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_8])]) ).
cnf(c_0_168,negated_conjecture,
( hskp17
| hskp14
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_8])]) ).
cnf(c_0_169,negated_conjecture,
( hskp24
| hskp19
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_8])]) ).
cnf(c_0_170,negated_conjecture,
( c2_1(a680)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_171,negated_conjecture,
( ~ c3_1(a680)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_172,negated_conjecture,
( epred55_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_8])]) ).
cnf(c_0_173,negated_conjecture,
( ~ c3_1(a700)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_174,negated_conjecture,
( epred54_0
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_112]),c_0_8])]) ).
cnf(c_0_175,negated_conjecture,
( c3_1(a684)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_176,negated_conjecture,
( epred45_0
| hskp28
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_8])]) ).
cnf(c_0_177,negated_conjecture,
( c2_1(a700)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_178,negated_conjecture,
( epred40_0
| hskp16
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_114]),c_0_8])]) ).
cnf(c_0_179,negated_conjecture,
( epred38_0
| hskp16
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_8])]) ).
cnf(c_0_180,negated_conjecture,
( ~ c2_1(a684)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_181,negated_conjecture,
( epred51_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_8])]) ).
cnf(c_0_182,negated_conjecture,
( epred48_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_117]),c_0_8])]) ).
cnf(c_0_183,negated_conjecture,
( epred27_0
| hskp30
| hskp12 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_184,negated_conjecture,
( epred34_0
| ~ epred27_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_185,negated_conjecture,
( epred1_0
| ~ hskp10
| ~ c1_1(a681) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_122]),c_0_123]) ).
cnf(c_0_186,negated_conjecture,
( epred25_0
| hskp11
| c1_1(a681)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_123]) ).
cnf(c_0_187,negated_conjecture,
( epred21_0
| hskp7
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_8])]) ).
cnf(c_0_188,negated_conjecture,
( ~ c0_1(a684)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_189,negated_conjecture,
( epred13_0
| hskp10
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_8])]) ).
cnf(c_0_190,negated_conjecture,
( ~ c0_1(a700)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_191,negated_conjecture,
( ~ c2_1(a672)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_192,negated_conjecture,
( epred9_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_8])]) ).
cnf(c_0_193,negated_conjecture,
( ~ c1_1(a672)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_194,negated_conjecture,
( ~ c0_1(a672)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_195,negated_conjecture,
( epred26_0
| epred14_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_129]),c_0_130]) ).
cnf(c_0_196,negated_conjecture,
( ~ c3_1(a731)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_197,negated_conjecture,
( epred49_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_131]) ).
cnf(c_0_198,negated_conjecture,
( ~ c1_1(a731)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_199,negated_conjecture,
( ~ c3_1(a696)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_200,negated_conjecture,
( c2_1(a696)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_201,negated_conjecture,
( c0_1(a696)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_202,negated_conjecture,
( epred39_0
| ~ hskp7
| ~ c0_1(a675) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_203,negated_conjecture,
( epred17_0
| c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_133]),c_0_134]) ).
cnf(c_0_204,negated_conjecture,
( ~ epred55_0
| ~ epred42_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_136,c_0_111]),c_0_78]),c_0_16]) ).
cnf(c_0_205,negated_conjecture,
( epred26_0
| epred4_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_137,c_0_43]) ).
cnf(c_0_206,negated_conjecture,
( epred4_0
| epred2_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_138,c_0_43]) ).
cnf(c_0_207,negated_conjecture,
( epred1_0
| hskp28
| hskp9 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_208,negated_conjecture,
( epred10_0
| ~ hskp7
| ~ c0_1(a675) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_134]) ).
cnf(c_0_209,negated_conjecture,
( c3_1(a679)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_210,negated_conjecture,
( c1_1(a679)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_211,negated_conjecture,
( ~ c0_1(a679)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_212,negated_conjecture,
( ~ c0_1(a703)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_213,negated_conjecture,
( epred57_0
| epred17_0
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_143]) ).
cnf(c_0_214,negated_conjecture,
( c1_1(a703)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_215,plain,
( ~ epred36_0
<=> ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_216,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_144]) ).
cnf(c_0_217,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_145]) ).
cnf(c_0_218,negated_conjecture,
( c1_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_146]) ).
cnf(c_0_219,negated_conjecture,
( c2_1(X3)
| c2_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X3)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_147]) ).
cnf(c_0_220,negated_conjecture,
( c1_1(X1)
| c2_1(X3)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_148]) ).
cnf(c_0_221,negated_conjecture,
( c1_1(X2)
| c1_1(X1)
| c2_1(X3)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_149]) ).
cnf(c_0_222,negated_conjecture,
( hskp28
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_150]) ).
cnf(c_0_223,negated_conjecture,
( hskp16
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_151]) ).
cnf(c_0_224,negated_conjecture,
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_152]) ).
cnf(c_0_225,negated_conjecture,
( hskp11
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_153]) ).
cnf(c_0_226,negated_conjecture,
( hskp7
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_154]) ).
cnf(c_0_227,negated_conjecture,
( hskp10
| c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_155]) ).
cnf(c_0_228,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_156]) ).
cnf(c_0_229,negated_conjecture,
( c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_157]) ).
cnf(c_0_230,negated_conjecture,
( epred42_0
| epred4_0
| epred50_0
| ~ c0_1(a678)
| ~ c1_1(a678)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_231,negated_conjecture,
( epred22_0
| epred14_0
| ~ hskp20
| ~ c0_1(a711)
| ~ c1_1(a711) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_232,negated_conjecture,
( epred4_0
| epred10_0
| ~ hskp28
| ~ c0_1(a678)
| ~ c1_1(a678) ),
inference(spm,[status(thm)],[c_0_69,c_0_142]) ).
cnf(c_0_233,negated_conjecture,
( hskp9
| hskp8
| c0_1(a702)
| c1_1(a702)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_162,c_0_32]) ).
cnf(c_0_234,negated_conjecture,
( hskp29
| hskp15
| c3_1(a731)
| c1_1(a731)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_235,negated_conjecture,
( hskp20
| hskp19
| c3_1(a731)
| c1_1(a731)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_165,c_0_164]) ).
cnf(c_0_236,negated_conjecture,
( hskp15
| hskp4
| c2_1(a678)
| ~ c0_1(a678)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_166,c_0_25]) ).
cnf(c_0_237,negated_conjecture,
( hskp28
| hskp10
| c2_1(a675)
| ~ c1_1(a675)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_167,c_0_133]) ).
cnf(c_0_238,negated_conjecture,
( hskp17
| hskp14
| c2_1(a675)
| ~ c1_1(a675)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_168,c_0_133]) ).
cnf(c_0_239,negated_conjecture,
( hskp24
| hskp19
| c1_1(a680)
| ~ c0_1(a680)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_240,negated_conjecture,
( hskp24
| hskp19
| c1_1(a753)
| ~ c0_1(a753)
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_169,c_0_23]) ).
cnf(c_0_241,negated_conjecture,
( epred57_0
| c0_1(a668)
| ~ hskp0
| ~ c1_1(a668) ),
inference(spm,[status(thm)],[c_0_48,c_0_143]) ).
cnf(c_0_242,negated_conjecture,
( epred55_0
| c1_1(a680)
| ~ hskp9
| ~ c2_1(a680) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_243,negated_conjecture,
( epred55_0
| c1_1(a700)
| ~ hskp15
| ~ c2_1(a700) ),
inference(spm,[status(thm)],[c_0_173,c_0_172]) ).
cnf(c_0_244,negated_conjecture,
( epred54_0
| c0_1(a681)
| c1_1(a681)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_174,c_0_125]) ).
cnf(c_0_245,negated_conjecture,
( epred54_0
| c0_1(a684)
| c1_1(a684)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_246,negated_conjecture,
( epred54_0
| c0_1(a702)
| c1_1(a702)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_174,c_0_31]) ).
cnf(c_0_247,negated_conjecture,
( epred45_0
| hskp28
| c0_1(a680)
| c1_1(a680)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_176,c_0_170]) ).
cnf(c_0_248,negated_conjecture,
( epred45_0
| hskp28
| c0_1(a700)
| c1_1(a700)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_249,negated_conjecture,
( epred40_0
| hskp16
| c0_1(a684)
| ~ c1_1(a684)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_178,c_0_175]) ).
cnf(c_0_250,negated_conjecture,
( epred38_0
| hskp16
| c2_1(a684)
| c1_1(a684)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_179,c_0_175]) ).
cnf(c_0_251,negated_conjecture,
( epred51_0
| c0_1(a684)
| ~ hskp12
| ~ c1_1(a684) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_252,negated_conjecture,
( epred48_0
| c0_1(a700)
| c1_1(a700)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_182,c_0_177]) ).
cnf(c_0_253,negated_conjecture,
( epred34_0
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_183]),c_0_184]) ).
cnf(c_0_254,negated_conjecture,
( epred27_0
| epred3_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_42,c_0_183]) ).
cnf(c_0_255,negated_conjecture,
( epred25_0
| epred1_0
| hskp11
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_256,negated_conjecture,
( epred21_0
| hskp7
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_175]),c_0_180]),c_0_188]) ).
cnf(c_0_257,negated_conjecture,
( epred13_0
| hskp10
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_177]),c_0_173]),c_0_190]) ).
cnf(c_0_258,negated_conjecture,
( epred9_0
| hskp0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]) ).
cnf(c_0_259,negated_conjecture,
( epred26_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_195]),c_0_76]) ).
cnf(c_0_260,negated_conjecture,
( epred50_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_133]),c_0_134]),c_0_141]) ).
cnf(c_0_261,negated_conjecture,
( epred49_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_164]),c_0_198]) ).
cnf(c_0_262,negated_conjecture,
( epred42_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_102]),c_0_200]),c_0_201]) ).
cnf(c_0_263,negated_conjecture,
( epred39_0
| epred17_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_264,negated_conjecture,
( epred34_0
| ~ hskp16
| ~ c0_1(a702) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_32]) ).
cnf(c_0_265,negated_conjecture,
( epred34_0
| ~ epred55_0
| ~ epred42_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_121]) ).
cnf(c_0_266,negated_conjecture,
( epred26_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_205]),c_0_85]),c_0_87]) ).
cnf(c_0_267,negated_conjecture,
( epred22_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_206]),c_0_85]),c_0_87]) ).
cnf(c_0_268,negated_conjecture,
( epred22_0
| epred4_0
| epred1_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_85,c_0_207]) ).
cnf(c_0_269,negated_conjecture,
( epred17_0
| epred10_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_208,c_0_203]) ).
cnf(c_0_270,negated_conjecture,
( epred17_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_209]),c_0_210]),c_0_211]) ).
cnf(c_0_271,negated_conjecture,
( epred17_0
| ~ hskp12
| ~ c1_1(a684) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_175]),c_0_188]) ).
cnf(c_0_272,negated_conjecture,
( epred4_0
| ~ hskp10
| ~ c1_1(a681) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_125]),c_0_122]) ).
cnf(c_0_273,negated_conjecture,
( epred1_0
| ~ hskp15
| ~ c1_1(a700) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_177]),c_0_190]) ).
cnf(c_0_274,negated_conjecture,
( epred57_0
| epred17_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).
cnf(c_0_275,negated_conjecture,
( epred36_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_215]) ).
cnf(c_0_276,negated_conjecture,
( ~ epred51_0
| ~ epred17_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_216,c_0_116]),c_0_92]),c_0_15]) ).
cnf(c_0_277,negated_conjecture,
( ~ epred54_0
| ~ epred34_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_217,c_0_112]),c_0_100]),c_0_21]) ).
cnf(c_0_278,negated_conjecture,
( ~ epred51_0
| ~ epred34_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_218,c_0_116]),c_0_17]),c_0_21]) ).
cnf(c_0_279,negated_conjecture,
( ~ epred57_0
| ~ epred50_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_219,c_0_101]),c_0_100]),c_0_79]) ).
cnf(c_0_280,negated_conjecture,
( ~ epred54_0
| ~ epred22_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_220,c_0_112]),c_0_92]),c_0_16]) ).
cnf(c_0_281,negated_conjecture,
( ~ epred50_0
| ~ epred49_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_221,c_0_117]),c_0_131]),c_0_79]) ).
cnf(c_0_282,negated_conjecture,
( ~ epred45_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_222,c_0_113]),c_0_21]) ).
cnf(c_0_283,negated_conjecture,
( ~ epred40_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_223,c_0_114]),c_0_215]) ).
cnf(c_0_284,negated_conjecture,
( ~ epred39_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_224,c_0_115]),c_0_91]) ).
cnf(c_0_285,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_225,c_0_88]),c_0_17]) ).
cnf(c_0_286,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226,c_0_126]),c_0_16]) ).
cnf(c_0_287,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_227,c_0_127]),c_0_29]) ).
cnf(c_0_288,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_228,c_0_128]),c_0_100]) ).
cnf(c_0_289,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_229,c_0_9]),c_0_66]) ).
cnf(c_0_290,negated_conjecture,
( ~ c1_1(a680)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_291,negated_conjecture,
( c0_1(a711)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_292,negated_conjecture,
( c1_1(a711)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_293,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_230,c_0_231,c_0_232,c_0_233,c_0_234,c_0_235,c_0_236,c_0_237,c_0_238,c_0_239,c_0_240,c_0_241,c_0_242,c_0_243,c_0_244,c_0_245,c_0_246,c_0_247,c_0_248,c_0_249,c_0_250,c_0_251,c_0_252,c_0_253,c_0_254,c_0_183,c_0_255,c_0_256,c_0_257,c_0_258,c_0_259,c_0_260,c_0_261,c_0_262,c_0_263,c_0_264,c_0_265,c_0_121,c_0_52,c_0_266,c_0_267,c_0_87,c_0_58,c_0_268,c_0_85,c_0_269,c_0_270,c_0_271,c_0_63,c_0_272,c_0_69,c_0_54,c_0_36,c_0_138,c_0_94,c_0_273,c_0_139,c_0_274,c_0_275,c_0_276,c_0_277,c_0_278,c_0_279,c_0_204,c_0_280,c_0_281,c_0_282,c_0_283,c_0_284,c_0_120,c_0_285,c_0_286,c_0_287,c_0_288,c_0_71,c_0_289,c_0_196,c_0_198,c_0_33,c_0_190,c_0_188,c_0_180,c_0_123,c_0_290,c_0_141,c_0_48,c_0_24,c_0_26,c_0_291,c_0_177,c_0_170,c_0_55,c_0_292,c_0_134,c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN511+1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n006.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:37:46 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 4.44/3.20 % Version : CSE_E---1.7
% 4.44/3.20 % Problem : theBenchmark.p
% 4.44/3.20 % SZS status Theorem for theBenchmark.p
% 4.44/3.20 % SZS output start CNFRefutation
% See solution above
% 4.44/3.21 % Total time : 2.373s
%------------------------------------------------------------------------------