%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN445+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 : n031.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 05:38:20 PM UTC 2026
% Result : Theorem 4.33s 3.18s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 237 ( 5 unt; 0 def)
% Number of atoms : 2809 ( 0 equ)
% Maximal formula atoms : 696 ( 11 avg)
% Number of connectives : 3798 (1226 ~;1826 |; 537 &)
% ( 21 <=>; 188 =>; 0 <=; 0 <~>)
% Maximal formula depth : 276 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 57 ( 56 usr; 53 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 393 ( 0 sgn 303 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a294)
& ~ c2_1(a294)
& ~ c3_1(a294) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a295)
& c2_1(a295)
& ~ c1_1(a295) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a297)
& ~ c0_1(a297)
& ~ c3_1(a297) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a299)
& c3_1(a299)
& ~ c2_1(a299) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c0_1(a300)
& ~ c1_1(a300)
& ~ c2_1(a300) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a301)
& ~ c1_1(a301)
& ~ c3_1(a301) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a302)
& ~ c1_1(a302)
& ~ c2_1(a302) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a303)
& c1_1(a303)
& ~ c2_1(a303) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a305)
& ~ c0_1(a305)
& ~ c1_1(a305) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a307)
& ~ c1_1(a307)
& ~ c3_1(a307) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a308)
& c3_1(a308)
& ~ c0_1(a308) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a309)
& c3_1(a309)
& ~ c2_1(a309) ) )
& ( ~ hskp12
| ( ndr1_0
& c3_1(a310)
& ~ c0_1(a310)
& ~ c2_1(a310) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a313)
& c3_1(a313)
& ~ c1_1(a313) ) )
& ( ~ hskp14
| ( ndr1_0
& c1_1(a315)
& c2_1(a315)
& ~ c0_1(a315) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a320)
& ~ c0_1(a320)
& ~ c2_1(a320) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a321)
& c3_1(a321)
& ~ c1_1(a321) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a323)
& c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp18
| ( ndr1_0
& c2_1(a329)
& ~ c0_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a330)
& c2_1(a330)
& ~ c3_1(a330) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a333)
& ~ c2_1(a333)
& ~ c3_1(a333) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a336)
& ~ c0_1(a336)
& ~ c1_1(a336) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c1_1(a338)
& ~ c2_1(a338)
& ~ c3_1(a338) ) )
& ( ~ hskp23
| ( ndr1_0
& c2_1(a341)
& c3_1(a341)
& ~ c0_1(a341) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a342)
& ~ c1_1(a342)
& ~ c2_1(a342) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c0_1(a346)
& ~ c1_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a349)
& ~ c2_1(a349)
& ~ c3_1(a349) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a334)
& c2_1(a334)
& c3_1(a334) ) )
& ( ~ hskp28
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& c3_1(a353) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a354)
& c1_1(a354)
& c2_1(a354) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| ~ c1_1(X6)
| ~ c3_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ~ c0_1(X8)
| ~ c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c3_1(X9) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| ~ c0_1(X11)
| ~ c1_1(X11) ) )
| hskp0 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c2_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| ~ c2_1(X14)
| ~ c3_1(X14) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c1_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| ~ c0_1(X17)
| ~ c2_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| ~ c1_1(X20)
| ~ c2_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp1 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c2_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24) ) )
| hskp0 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c1_1(X25)
| ~ c3_1(X25) ) )
| hskp2
| hskp0 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c1_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c1_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c1_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| ~ c1_1(X31)
| ~ c3_1(X31) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c1_1(X33) ) )
| hskp3 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| ~ c0_1(X35)
| ~ c2_1(X35) ) )
| hskp4 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| ~ c0_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c3_1(X39)
| ~ c0_1(X39)
| ~ c1_1(X39) ) )
| hskp6 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c2_1(X40)
| ~ c1_1(X40) ) )
| hskp7
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c1_1(X41) ) )
| hskp8
| hskp5 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| ~ c0_1(X43)
| ~ c2_1(X43) ) )
| hskp9 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c2_1(X44)
| ~ c3_1(X44) ) )
| hskp10
| hskp11 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c1_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c2_1(X46)
| ~ c1_1(X46)
| ~ c3_1(X46) ) )
| hskp12 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c3_1(X48)
| ~ c1_1(X48)
| ~ c2_1(X48) ) )
| hskp8 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c1_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| c3_1(X50)
| ~ c0_1(X50) ) )
| hskp12 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c3_1(X52)
| ~ c0_1(X52)
| ~ c1_1(X52) ) )
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| c3_1(X54)
| ~ c1_1(X54) ) )
| hskp3 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp14
| hskp0 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| ~ c1_1(X57)
| ~ c3_1(X57) ) )
| hskp14 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp7 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c3_1(X60) ) )
| hskp6
| hskp15 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| ~ c3_1(X61) ) )
| hskp16 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c3_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c3_1(X63)
| ~ c2_1(X63) ) )
| hskp13 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| c3_1(X65)
| ~ c1_1(X65) ) )
| hskp17 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| c3_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| hskp5 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c3_1(X68)
| ~ c2_1(X68) ) )
| hskp11
| hskp16 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c2_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp4 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp17
| hskp18 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| hskp19
| hskp12 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) )
| hskp11
| hskp20 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp27
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c0_1(X75) ) )
| hskp21 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c0_1(X78)
| ~ c1_1(X78)
| ~ c3_1(X78) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| c3_1(X79)
| ~ c1_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c0_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80) ) )
| hskp17 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c1_1(X81) ) )
| hskp22 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c1_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) ) )
& ( ! [X84] :
( ndr1_0
=> ( c3_1(X84)
| ~ c0_1(X84)
| ~ c1_1(X84) ) )
| hskp17
| hskp4 )
& ( ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp23
| hskp24 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c0_1(X87)
| ~ c2_1(X87)
| ~ c3_1(X87) ) )
| hskp11 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c1_1(X88)
| ~ c2_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp4 )
& ( ! [X90] :
( ndr1_0
=> ( c3_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp15
| hskp25 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp6
| hskp8 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c2_1(X92) ) )
| hskp26
| hskp23 )
& ( ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93) ) )
| hskp17
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| ~ c2_1(X94)
| ~ c3_1(X94) ) )
| hskp28 )
& ( hskp29
| hskp27
| hskp10 )
& ( hskp7
| hskp1
| hskp10 )
& ( hskp17
| hskp5
| hskp24 )
& ( hskp6
| hskp15
| hskp23 )
& ( hskp26
| hskp11
| hskp12 )
& ( hskp26
| hskp16 )
& ( hskp20
| hskp12
| hskp25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a294)
& ~ c2_1(a294)
& ~ c3_1(a294) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a295)
& c2_1(a295)
& ~ c1_1(a295) ) )
& ( ~ hskp2
| ( ndr1_0
& c1_1(a297)
& ~ c0_1(a297)
& ~ c3_1(a297) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a299)
& c3_1(a299)
& ~ c2_1(a299) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ c0_1(a300)
& ~ c1_1(a300)
& ~ c2_1(a300) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a301)
& ~ c1_1(a301)
& ~ c3_1(a301) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a302)
& ~ c1_1(a302)
& ~ c2_1(a302) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a303)
& c1_1(a303)
& ~ c2_1(a303) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a305)
& ~ c0_1(a305)
& ~ c1_1(a305) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a307)
& ~ c1_1(a307)
& ~ c3_1(a307) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a308)
& c3_1(a308)
& ~ c0_1(a308) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a309)
& c3_1(a309)
& ~ c2_1(a309) ) )
& ( ~ hskp12
| ( ndr1_0
& c3_1(a310)
& ~ c0_1(a310)
& ~ c2_1(a310) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a313)
& c3_1(a313)
& ~ c1_1(a313) ) )
& ( ~ hskp14
| ( ndr1_0
& c1_1(a315)
& c2_1(a315)
& ~ c0_1(a315) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a320)
& ~ c0_1(a320)
& ~ c2_1(a320) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a321)
& c3_1(a321)
& ~ c1_1(a321) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a323)
& c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp18
| ( ndr1_0
& c2_1(a329)
& ~ c0_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a330)
& c2_1(a330)
& ~ c3_1(a330) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a333)
& ~ c2_1(a333)
& ~ c3_1(a333) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a336)
& ~ c0_1(a336)
& ~ c1_1(a336) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c1_1(a338)
& ~ c2_1(a338)
& ~ c3_1(a338) ) )
& ( ~ hskp23
| ( ndr1_0
& c2_1(a341)
& c3_1(a341)
& ~ c0_1(a341) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a342)
& ~ c1_1(a342)
& ~ c2_1(a342) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c0_1(a346)
& ~ c1_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a349)
& ~ c2_1(a349)
& ~ c3_1(a349) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a334)
& c2_1(a334)
& c3_1(a334) ) )
& ( ~ hskp28
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& c3_1(a353) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a354)
& c1_1(a354)
& c2_1(a354) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| ~ c1_1(X6)
| ~ c3_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ~ c0_1(X8)
| ~ c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c3_1(X9) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| ~ c0_1(X11)
| ~ c1_1(X11) ) )
| hskp0 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c2_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| ~ c2_1(X14)
| ~ c3_1(X14) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c1_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| ~ c0_1(X17)
| ~ c2_1(X17) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| ~ c1_1(X20)
| ~ c2_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp1 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c2_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24) ) )
| hskp0 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c1_1(X25)
| ~ c3_1(X25) ) )
| hskp2
| hskp0 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c1_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c1_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c1_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| ~ c1_1(X31)
| ~ c3_1(X31) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c1_1(X33) ) )
| hskp3 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| ~ c0_1(X35)
| ~ c2_1(X35) ) )
| hskp4 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| ~ c0_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c3_1(X39)
| ~ c0_1(X39)
| ~ c1_1(X39) ) )
| hskp6 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c2_1(X40)
| ~ c1_1(X40) ) )
| hskp7
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c1_1(X41) ) )
| hskp8
| hskp5 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| ~ c0_1(X43)
| ~ c2_1(X43) ) )
| hskp9 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c2_1(X44)
| ~ c3_1(X44) ) )
| hskp10
| hskp11 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c1_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c2_1(X46)
| ~ c1_1(X46)
| ~ c3_1(X46) ) )
| hskp12 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c3_1(X48)
| ~ c1_1(X48)
| ~ c2_1(X48) ) )
| hskp8 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c1_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| c3_1(X50)
| ~ c0_1(X50) ) )
| hskp12 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c3_1(X52)
| ~ c0_1(X52)
| ~ c1_1(X52) ) )
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| c3_1(X54)
| ~ c1_1(X54) ) )
| hskp3 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp14
| hskp0 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| ~ c1_1(X57)
| ~ c3_1(X57) ) )
| hskp14 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp7 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c3_1(X60) ) )
| hskp6
| hskp15 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| ~ c3_1(X61) ) )
| hskp16 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c3_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c3_1(X63)
| ~ c2_1(X63) ) )
| hskp13 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| c3_1(X65)
| ~ c1_1(X65) ) )
| hskp17 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| c3_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| hskp5 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c3_1(X68)
| ~ c2_1(X68) ) )
| hskp11
| hskp16 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c2_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp4 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp17
| hskp18 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| hskp19
| hskp12 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) )
| hskp11
| hskp20 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp27
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c0_1(X75) ) )
| hskp21 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c0_1(X78)
| ~ c1_1(X78)
| ~ c3_1(X78) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| c3_1(X79)
| ~ c1_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c0_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80) ) )
| hskp17 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c1_1(X81) ) )
| hskp22 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c1_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) ) )
& ( ! [X84] :
( ndr1_0
=> ( c3_1(X84)
| ~ c0_1(X84)
| ~ c1_1(X84) ) )
| hskp17
| hskp4 )
& ( ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp23
| hskp24 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c0_1(X87)
| ~ c2_1(X87)
| ~ c3_1(X87) ) )
| hskp11 )
& ( ! [X88] :
( ndr1_0
=> ( c3_1(X88)
| ~ c1_1(X88)
| ~ c2_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp4 )
& ( ! [X90] :
( ndr1_0
=> ( c3_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp15
| hskp25 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp6
| hskp8 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c2_1(X92) ) )
| hskp26
| hskp23 )
& ( ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93) ) )
| hskp17
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| ~ c2_1(X94)
| ~ c3_1(X94) ) )
| hskp28 )
& ( hskp29
| hskp27
| hskp10 )
& ( hskp7
| hskp1
| hskp10 )
& ( hskp17
| hskp5
| hskp24 )
& ( hskp6
| hskp15
| hskp23 )
& ( hskp26
| hskp11
| hskp12 )
& ( hskp26
| hskp16 )
& ( hskp20
| hskp12
| hskp25 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,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] :
( ( ndr1_0
| ~ hskp0 )
& ( ~ c0_1(a294)
| ~ hskp0 )
& ( ~ c2_1(a294)
| ~ hskp0 )
& ( ~ c3_1(a294)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c0_1(a295)
| ~ hskp1 )
& ( c2_1(a295)
| ~ hskp1 )
& ( ~ c1_1(a295)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c1_1(a297)
| ~ hskp2 )
& ( ~ c0_1(a297)
| ~ hskp2 )
& ( ~ c3_1(a297)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c0_1(a299)
| ~ hskp3 )
& ( c3_1(a299)
| ~ hskp3 )
& ( ~ c2_1(a299)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( ~ c0_1(a300)
| ~ hskp4 )
& ( ~ c1_1(a300)
| ~ hskp4 )
& ( ~ c2_1(a300)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c2_1(a301)
| ~ hskp5 )
& ( ~ c1_1(a301)
| ~ hskp5 )
& ( ~ c3_1(a301)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a302)
| ~ hskp6 )
& ( ~ c1_1(a302)
| ~ hskp6 )
& ( ~ c2_1(a302)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c0_1(a303)
| ~ hskp7 )
& ( c1_1(a303)
| ~ hskp7 )
& ( ~ c2_1(a303)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c2_1(a305)
| ~ hskp8 )
& ( ~ c0_1(a305)
| ~ hskp8 )
& ( ~ c1_1(a305)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c0_1(a307)
| ~ hskp9 )
& ( ~ c1_1(a307)
| ~ hskp9 )
& ( ~ c3_1(a307)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( c1_1(a308)
| ~ hskp10 )
& ( c3_1(a308)
| ~ hskp10 )
& ( ~ c0_1(a308)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c1_1(a309)
| ~ hskp11 )
& ( c3_1(a309)
| ~ hskp11 )
& ( ~ c2_1(a309)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c3_1(a310)
| ~ hskp12 )
& ( ~ c0_1(a310)
| ~ hskp12 )
& ( ~ c2_1(a310)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c0_1(a313)
| ~ hskp13 )
& ( c3_1(a313)
| ~ hskp13 )
& ( ~ c1_1(a313)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c1_1(a315)
| ~ hskp14 )
& ( c2_1(a315)
| ~ hskp14 )
& ( ~ c0_1(a315)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c1_1(a320)
| ~ hskp15 )
& ( ~ c0_1(a320)
| ~ hskp15 )
& ( ~ c2_1(a320)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c2_1(a321)
| ~ hskp16 )
& ( c3_1(a321)
| ~ hskp16 )
& ( ~ c1_1(a321)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c0_1(a323)
| ~ hskp17 )
& ( c2_1(a323)
| ~ hskp17 )
& ( ~ c3_1(a323)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c2_1(a329)
| ~ hskp18 )
& ( ~ c0_1(a329)
| ~ hskp18 )
& ( ~ c3_1(a329)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( c1_1(a330)
| ~ hskp19 )
& ( c2_1(a330)
| ~ hskp19 )
& ( ~ c3_1(a330)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c1_1(a333)
| ~ hskp20 )
& ( ~ c2_1(a333)
| ~ hskp20 )
& ( ~ c3_1(a333)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( c3_1(a336)
| ~ hskp21 )
& ( ~ c0_1(a336)
| ~ hskp21 )
& ( ~ c1_1(a336)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( ~ c1_1(a338)
| ~ hskp22 )
& ( ~ c2_1(a338)
| ~ hskp22 )
& ( ~ c3_1(a338)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c2_1(a341)
| ~ hskp23 )
& ( c3_1(a341)
| ~ hskp23 )
& ( ~ c0_1(a341)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c3_1(a342)
| ~ hskp24 )
& ( ~ c1_1(a342)
| ~ hskp24 )
& ( ~ c2_1(a342)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( ~ c0_1(a346)
| ~ hskp25 )
& ( ~ c1_1(a346)
| ~ hskp25 )
& ( ~ c3_1(a346)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c0_1(a349)
| ~ hskp26 )
& ( ~ c2_1(a349)
| ~ hskp26 )
& ( ~ c3_1(a349)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c0_1(a334)
| ~ hskp27 )
& ( c2_1(a334)
| ~ hskp27 )
& ( c3_1(a334)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c1_1(a353)
| ~ hskp28 )
& ( c2_1(a353)
| ~ hskp28 )
& ( c3_1(a353)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c0_1(a354)
| ~ hskp29 )
& ( c1_1(a354)
| ~ hskp29 )
& ( c2_1(a354)
| ~ hskp29 )
& ( ~ ndr1_0
| c0_1(X189)
| c1_1(X189)
| c2_1(X189)
| ~ ndr1_0
| c0_1(X190)
| c2_1(X190)
| c3_1(X190)
| ~ ndr1_0
| c0_1(X191)
| ~ c1_1(X191)
| ~ c2_1(X191) )
& ( ~ ndr1_0
| c0_1(X192)
| c1_1(X192)
| c2_1(X192)
| ~ ndr1_0
| c1_1(X193)
| c2_1(X193)
| c3_1(X193)
| ~ ndr1_0
| c2_1(X194)
| ~ c1_1(X194)
| ~ c3_1(X194) )
& ( ~ ndr1_0
| c0_1(X195)
| c1_1(X195)
| c2_1(X195)
| ~ ndr1_0
| c1_1(X196)
| ~ c0_1(X196)
| ~ c2_1(X196)
| ~ ndr1_0
| ~ c0_1(X197)
| ~ c1_1(X197)
| ~ c3_1(X197) )
& ( ~ ndr1_0
| c0_1(X198)
| c1_1(X198)
| c2_1(X198)
| ~ ndr1_0
| c2_1(X199)
| ~ c0_1(X199)
| ~ c1_1(X199)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X200)
| c1_1(X200)
| c3_1(X200)
| ~ ndr1_0
| c0_1(X201)
| c2_1(X201)
| c3_1(X201)
| ~ ndr1_0
| c0_1(X202)
| ~ c2_1(X202)
| ~ c3_1(X202) )
& ( ~ ndr1_0
| c0_1(X203)
| c1_1(X203)
| c3_1(X203)
| ~ ndr1_0
| c0_1(X204)
| c2_1(X204)
| ~ c1_1(X204)
| ~ ndr1_0
| c3_1(X205)
| ~ c0_1(X205)
| ~ c2_1(X205) )
& ( ~ ndr1_0
| c0_1(X206)
| c1_1(X206)
| ~ c2_1(X206)
| ~ ndr1_0
| c0_1(X207)
| c2_1(X207)
| ~ c1_1(X207)
| ~ ndr1_0
| c3_1(X208)
| ~ c1_1(X208)
| ~ c2_1(X208) )
& ( ~ ndr1_0
| c0_1(X209)
| c1_1(X209)
| ~ c2_1(X209)
| ~ ndr1_0
| c1_1(X210)
| ~ c2_1(X210)
| ~ c3_1(X210)
| hskp1 )
& ( ~ ndr1_0
| c0_1(X211)
| c1_1(X211)
| ~ c3_1(X211)
| ~ ndr1_0
| c2_1(X212)
| ~ c1_1(X212)
| ~ c3_1(X212)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X213)
| c1_1(X213)
| ~ c3_1(X213)
| hskp2
| hskp0 )
& ( ~ ndr1_0
| c0_1(X214)
| c2_1(X214)
| c3_1(X214)
| ~ ndr1_0
| c0_1(X215)
| c2_1(X215)
| ~ c1_1(X215)
| ~ ndr1_0
| c1_1(X216)
| ~ c2_1(X216)
| ~ c3_1(X216) )
& ( ~ ndr1_0
| c0_1(X217)
| c2_1(X217)
| ~ c1_1(X217)
| ~ ndr1_0
| c0_1(X218)
| c3_1(X218)
| ~ c1_1(X218)
| ~ ndr1_0
| c0_1(X219)
| ~ c1_1(X219)
| ~ c3_1(X219) )
& ( ~ ndr1_0
| c0_1(X220)
| c2_1(X220)
| ~ c1_1(X220)
| ~ ndr1_0
| c0_1(X221)
| c3_1(X221)
| ~ c1_1(X221)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X222)
| c2_1(X222)
| ~ c1_1(X222)
| ~ ndr1_0
| c1_1(X223)
| ~ c0_1(X223)
| ~ c2_1(X223)
| hskp4 )
& ( ~ ndr1_0
| c0_1(X224)
| c2_1(X224)
| ~ c1_1(X224)
| ~ ndr1_0
| c1_1(X225)
| ~ c0_1(X225)
| ~ c3_1(X225)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X226)
| c2_1(X226)
| ~ c1_1(X226)
| ~ ndr1_0
| c3_1(X227)
| ~ c0_1(X227)
| ~ c1_1(X227)
| hskp6 )
& ( ~ ndr1_0
| c0_1(X228)
| c2_1(X228)
| ~ c1_1(X228)
| hskp7
| hskp4 )
& ( ~ ndr1_0
| c0_1(X229)
| c2_1(X229)
| ~ c1_1(X229)
| hskp8
| hskp5 )
& ( ~ ndr1_0
| c0_1(X230)
| c2_1(X230)
| ~ c3_1(X230)
| ~ ndr1_0
| c3_1(X231)
| ~ c0_1(X231)
| ~ c2_1(X231)
| hskp9 )
& ( ~ ndr1_0
| c0_1(X232)
| c2_1(X232)
| ~ c3_1(X232)
| hskp10
| hskp11 )
& ( ~ ndr1_0
| c0_1(X233)
| c3_1(X233)
| ~ c1_1(X233)
| ~ ndr1_0
| c2_1(X234)
| ~ c1_1(X234)
| ~ c3_1(X234)
| hskp12 )
& ( ~ ndr1_0
| c0_1(X235)
| c3_1(X235)
| ~ c2_1(X235)
| ~ ndr1_0
| c3_1(X236)
| ~ c1_1(X236)
| ~ c2_1(X236)
| hskp8 )
& ( ~ ndr1_0
| c0_1(X237)
| ~ c1_1(X237)
| ~ c2_1(X237)
| ~ ndr1_0
| c2_1(X238)
| c3_1(X238)
| ~ c0_1(X238)
| hskp12 )
& ( ~ ndr1_0
| c0_1(X239)
| ~ c1_1(X239)
| ~ c2_1(X239)
| ~ ndr1_0
| c3_1(X240)
| ~ c0_1(X240)
| ~ c1_1(X240)
| hskp13 )
& ( ~ ndr1_0
| c0_1(X241)
| ~ c2_1(X241)
| ~ c3_1(X241)
| ~ ndr1_0
| c2_1(X242)
| c3_1(X242)
| ~ c1_1(X242)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X243)
| ~ c2_1(X243)
| ~ c3_1(X243)
| hskp14
| hskp0 )
& ( ~ ndr1_0
| c1_1(X244)
| c2_1(X244)
| ~ c0_1(X244)
| ~ ndr1_0
| c2_1(X245)
| ~ c1_1(X245)
| ~ c3_1(X245)
| hskp14 )
& ( ~ ndr1_0
| c1_1(X246)
| c2_1(X246)
| ~ c3_1(X246)
| ~ ndr1_0
| c2_1(X247)
| ~ c0_1(X247)
| ~ c1_1(X247)
| hskp7 )
& ( ~ ndr1_0
| c1_1(X248)
| c2_1(X248)
| ~ c3_1(X248)
| hskp6
| hskp15 )
& ( ~ ndr1_0
| c1_1(X249)
| c2_1(X249)
| ~ c3_1(X249)
| hskp16 )
& ( ~ ndr1_0
| c1_1(X250)
| c3_1(X250)
| ~ c0_1(X250)
| ~ ndr1_0
| c1_1(X251)
| c3_1(X251)
| ~ c2_1(X251)
| hskp13 )
& ( ~ ndr1_0
| c1_1(X252)
| c3_1(X252)
| ~ c0_1(X252)
| ~ ndr1_0
| c2_1(X253)
| c3_1(X253)
| ~ c1_1(X253)
| hskp17 )
& ( ~ ndr1_0
| c1_1(X254)
| c3_1(X254)
| ~ c2_1(X254)
| ~ ndr1_0
| c2_1(X255)
| c3_1(X255)
| ~ c1_1(X255)
| hskp5 )
& ( ~ ndr1_0
| c1_1(X256)
| c3_1(X256)
| ~ c2_1(X256)
| hskp11
| hskp16 )
& ( ~ ndr1_0
| c1_1(X257)
| ~ c0_1(X257)
| ~ c2_1(X257)
| ~ ndr1_0
| c1_1(X258)
| ~ c0_1(X258)
| ~ c3_1(X258)
| hskp4 )
& ( ~ ndr1_0
| c1_1(X259)
| ~ c0_1(X259)
| ~ c2_1(X259)
| hskp17
| hskp18 )
& ( ~ ndr1_0
| c1_1(X260)
| ~ c0_1(X260)
| ~ c2_1(X260)
| hskp19
| hskp12 )
& ( ~ ndr1_0
| c1_1(X261)
| ~ c0_1(X261)
| ~ c2_1(X261)
| hskp11
| hskp20 )
& ( ~ ndr1_0
| c1_1(X262)
| ~ c2_1(X262)
| ~ c3_1(X262)
| hskp27
| hskp3 )
& ( ~ ndr1_0
| c2_1(X263)
| c3_1(X263)
| ~ c0_1(X263)
| hskp21 )
& ( ~ ndr1_0
| c2_1(X264)
| c3_1(X264)
| ~ c1_1(X264)
| ~ ndr1_0
| c2_1(X265)
| ~ c1_1(X265)
| ~ c3_1(X265)
| ~ ndr1_0
| ~ c0_1(X266)
| ~ c1_1(X266)
| ~ c3_1(X266) )
& ( ~ ndr1_0
| c2_1(X267)
| c3_1(X267)
| ~ c1_1(X267)
| ~ ndr1_0
| ~ c0_1(X268)
| ~ c1_1(X268)
| ~ c3_1(X268)
| hskp17 )
& ( ~ ndr1_0
| c2_1(X269)
| c3_1(X269)
| ~ c1_1(X269)
| hskp22 )
& ( ~ ndr1_0
| c2_1(X270)
| ~ c1_1(X270)
| ~ c3_1(X270)
| ~ ndr1_0
| ~ c0_1(X271)
| ~ c2_1(X271)
| ~ c3_1(X271) )
& ( ~ ndr1_0
| c3_1(X272)
| ~ c0_1(X272)
| ~ c1_1(X272)
| hskp17
| hskp4 )
& ( ~ ndr1_0
| c3_1(X273)
| ~ c0_1(X273)
| ~ c1_1(X273)
| hskp23
| hskp24 )
& ( ~ ndr1_0
| c3_1(X274)
| ~ c0_1(X274)
| ~ c2_1(X274)
| ~ ndr1_0
| ~ c0_1(X275)
| ~ c2_1(X275)
| ~ c3_1(X275)
| hskp11 )
& ( ~ ndr1_0
| c3_1(X276)
| ~ c1_1(X276)
| ~ c2_1(X276)
| ~ ndr1_0
| ~ c1_1(X277)
| ~ c2_1(X277)
| ~ c3_1(X277)
| hskp4 )
& ( ~ ndr1_0
| c3_1(X278)
| ~ c1_1(X278)
| ~ c2_1(X278)
| hskp15
| hskp25 )
& ( ~ ndr1_0
| ~ c0_1(X279)
| ~ c1_1(X279)
| ~ c2_1(X279)
| hskp6
| hskp8 )
& ( ~ ndr1_0
| ~ c0_1(X280)
| ~ c1_1(X280)
| ~ c2_1(X280)
| hskp26
| hskp23 )
& ( ~ ndr1_0
| ~ c0_1(X281)
| ~ c1_1(X281)
| ~ c3_1(X281)
| hskp17
| hskp21 )
& ( ~ ndr1_0
| ~ c1_1(X282)
| ~ c2_1(X282)
| ~ c3_1(X282)
| hskp28 )
& ( hskp29
| hskp27
| hskp10 )
& ( hskp7
| hskp1
| hskp10 )
& ( hskp17
| hskp5
| hskp24 )
& ( hskp6
| hskp15
| hskp23 )
& ( hskp26
| hskp11
| hskp12 )
& ( hskp26
| hskp16 )
& ( hskp20
| hskp12
| hskp25 ) ),
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
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp26
| hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
( ~ epred12_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_7,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_9,plain,
( ~ epred1_0
<=> ! [X1] :
( c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
( epred12_0
| c1_1(X1)
| c0_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_6]),c_0_7])]) ).
cnf(c_0_11,negated_conjecture,
( c3_1(a336)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( ~ c0_1(a336)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( ~ c1_1(a336)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( hskp21
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).
cnf(c_0_15,negated_conjecture,
( c0_1(a349)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( ~ c2_1(a349)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( ~ c3_1(a349)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_18,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_19,plain,
( ~ epred41_0
<=> ! [X3] :
( c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_20,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp16
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_21,plain,
( ~ epred38_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_22,negated_conjecture,
( epred1_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_7])]) ).
cnf(c_0_23,negated_conjecture,
( c3_1(a310)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,negated_conjecture,
( ~ c2_1(a310)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( ~ c0_1(a310)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( epred12_0
| hskp0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_27,negated_conjecture,
( hskp21
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( epred2_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( c3_1(a321)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( c2_1(a321)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,negated_conjecture,
( ~ c1_1(a321)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_32,plain,
( ~ epred6_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_33,plain,
( ~ epred40_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_34,negated_conjecture,
( epred41_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_19]),c_0_7])]) ).
cnf(c_0_35,negated_conjecture,
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_7])]) ).
fof(c_0_36,plain,
( ~ epred37_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_37,plain,
( ~ epred26_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| hskp12
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_38,negated_conjecture,
( ~ c3_1(a294)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
( epred38_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( ~ c0_1(a294)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( ~ c2_1(a294)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( epred1_0
| ~ hskp12
| ~ c1_1(a310) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_43,negated_conjecture,
( epred12_0
| c1_1(a310)
| hskp0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_23]),c_0_25]) ).
cnf(c_0_44,negated_conjecture,
( epred12_0
| hskp0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( hskp26
| hskp11
| hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( epred2_0
| ~ hskp16
| ~ c0_1(a321) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_47,negated_conjecture,
( epred12_0
| c0_1(a321)
| hskp0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_29]),c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( epred40_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( epred41_0
| ~ hskp21
| ~ c2_1(a336) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_11]),c_0_13]) ).
cnf(c_0_51,negated_conjecture,
( hskp16
| c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_11]),c_0_13]) ).
cnf(c_0_52,negated_conjecture,
( epred37_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_36]),c_0_7])]) ).
cnf(c_0_53,negated_conjecture,
( epred26_0
| hskp12
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_37]),c_0_7])]) ).
cnf(c_0_54,negated_conjecture,
( c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
( epred38_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_56,negated_conjecture,
( epred12_0
| epred1_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_57,negated_conjecture,
( epred12_0
| hskp12
| hskp11
| hskp0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_58,negated_conjecture,
( c3_1(a309)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_59,negated_conjecture,
( c1_1(a309)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( ~ c2_1(a309)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,negated_conjecture,
( epred12_0
| epred2_0
| hskp0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_62,plain,
( ~ epred13_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_63,negated_conjecture,
( epred6_0
| ~ c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_48]),c_0_41]) ).
cnf(c_0_64,negated_conjecture,
( epred40_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_49]),c_0_41]) ).
cnf(c_0_65,negated_conjecture,
( epred6_0
| ~ hskp12
| ~ c1_1(a310) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_48]),c_0_24]) ).
cnf(c_0_66,negated_conjecture,
( epred41_0
| hskp16
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_67,negated_conjecture,
( epred37_0
| c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_52]),c_0_24]) ).
cnf(c_0_68,negated_conjecture,
( epred26_0
| hskp12
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_69,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| hskp0
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_70,negated_conjecture,
( c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_54]) ).
cnf(c_0_71,negated_conjecture,
( epred38_0
| epred12_0
| epred1_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_72,negated_conjecture,
( epred38_0
| epred12_0
| hskp12
| hskp11 ),
inference(spm,[status(thm)],[c_0_55,c_0_57]) ).
cnf(c_0_73,negated_conjecture,
( epred1_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_74,negated_conjecture,
( epred12_0
| epred2_0
| hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_4]),c_0_44]) ).
cnf(c_0_75,negated_conjecture,
( epred13_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_62]) ).
cnf(c_0_76,negated_conjecture,
( epred40_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_77,negated_conjecture,
( epred12_0
| epred6_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_65,c_0_43]) ).
cnf(c_0_78,negated_conjecture,
( epred37_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_41]) ).
cnf(c_0_79,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_80,negated_conjecture,
( epred41_0
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_27]),c_0_4]) ).
cnf(c_0_81,negated_conjecture,
( epred37_0
| epred1_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_42,c_0_67]) ).
cnf(c_0_82,negated_conjecture,
( epred26_0
| hskp12
| hskp11 ),
inference(spm,[status(thm)],[c_0_68,c_0_45]) ).
cnf(c_0_83,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_69]) ).
cnf(c_0_84,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_70,c_0_9]),c_0_18]) ).
cnf(c_0_85,negated_conjecture,
( epred38_0
| epred12_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_86,negated_conjecture,
( epred38_0
| epred12_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_74]) ).
cnf(c_0_87,negated_conjecture,
( epred13_0
| ~ hskp12
| ~ c1_1(a310) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_23]),c_0_24]) ).
cnf(c_0_88,negated_conjecture,
( epred40_0
| epred12_0
| epred6_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_89,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_90,plain,
( ~ epred15_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_91,negated_conjecture,
( epred37_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_63,c_0_78]) ).
cnf(c_0_92,negated_conjecture,
( epred37_0
| epred6_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_65,c_0_67]) ).
cnf(c_0_93,negated_conjecture,
( c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_79]) ).
cnf(c_0_94,negated_conjecture,
( epred41_0
| c1_1(a321) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_30]),c_0_80]) ).
cnf(c_0_95,negated_conjecture,
( epred37_0
| epred26_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_73]) ).
cnf(c_0_96,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_83,c_0_6]),c_0_62]) ).
cnf(c_0_97,negated_conjecture,
( epred38_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_98,negated_conjecture,
( epred37_0
| epred13_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_87,c_0_67]) ).
cnf(c_0_99,negated_conjecture,
( epred13_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_100,negated_conjecture,
( epred40_0
| epred12_0
| epred6_0
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_57]),c_0_88]) ).
cnf(c_0_101,negated_conjecture,
( epred3_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_89]),c_0_7])]) ).
cnf(c_0_102,negated_conjecture,
( epred15_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_90]) ).
cnf(c_0_103,negated_conjecture,
( epred37_0
| epred12_0
| epred6_0
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_57]),c_0_92]) ).
cnf(c_0_104,negated_conjecture,
( ~ epred41_0
| ~ epred38_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_93,c_0_19]),c_0_21]),c_0_32]) ).
cnf(c_0_105,negated_conjecture,
epred41_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_94]),c_0_80]) ).
cnf(c_0_106,negated_conjecture,
( epred37_0
| epred26_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_95]) ).
cnf(c_0_107,negated_conjecture,
( epred37_0
| epred12_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_74]) ).
cnf(c_0_108,negated_conjecture,
( epred38_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_109,negated_conjecture,
( epred37_0
| epred26_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_82]),c_0_99]) ).
cnf(c_0_110,negated_conjecture,
( epred40_0
| epred12_0
| epred6_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_100]) ).
cnf(c_0_111,negated_conjecture,
( epred40_0
| epred12_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
cnf(c_0_112,negated_conjecture,
( epred3_0
| c1_1(a310)
| hskp0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_101]),c_0_24]) ).
cnf(c_0_113,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp1
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_114,negated_conjecture,
( epred15_0
| ~ hskp21
| ~ c2_1(a336) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_11]),c_0_13]) ).
cnf(c_0_115,negated_conjecture,
( epred15_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_29]),c_0_30]),c_0_31]) ).
fof(c_0_116,plain,
( ~ epred17_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_117,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp10
| hskp11
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_118,negated_conjecture,
( epred37_0
| epred12_0
| epred6_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_103]) ).
cnf(c_0_119,negated_conjecture,
( c0_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp12
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_120,negated_conjecture,
( ~ epred38_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_121,negated_conjecture,
( epred37_0
| epred26_0
| epred12_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_122,negated_conjecture,
( epred38_0
| epred37_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_123,negated_conjecture,
( epred40_0
| epred12_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_110]),c_0_111]) ).
fof(c_0_124,plain,
( ~ epred39_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_125,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_126,negated_conjecture,
( epred13_0
| epred3_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_87,c_0_112]) ).
fof(c_0_127,plain,
( ~ epred14_0
<=> ! [X1] :
( c0_1(X1)
| hskp1
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
( hskp1
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_113]) ).
cnf(c_0_129,negated_conjecture,
( epred15_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_51]),c_0_115]) ).
cnf(c_0_130,negated_conjecture,
( epred15_0
| hskp26 ),
inference(spm,[status(thm)],[c_0_115,c_0_4]) ).
cnf(c_0_131,negated_conjecture,
( epred17_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_116]) ).
fof(c_0_132,plain,
( ~ epred23_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( ~ epred27_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_134,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_135,plain,
( ~ epred22_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| hskp8
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_136,negated_conjecture,
( ~ c3_1(a297)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_137,negated_conjecture,
( ~ c0_1(a297)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_138,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp20
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_139,negated_conjecture,
( hskp11
| hskp10
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_7])]) ).
cnf(c_0_140,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| hskp0
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_141,negated_conjecture,
( c0_1(X1)
| hskp14
| hskp0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_142,negated_conjecture,
( epred37_0
| epred12_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_118]),c_0_107]) ).
fof(c_0_143,plain,
( ~ epred43_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_144,negated_conjecture,
( hskp12
| c0_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_119]) ).
cnf(c_0_145,negated_conjecture,
( epred37_0
| epred26_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_146,negated_conjecture,
( epred40_0
| epred12_0
| ~ epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_123]),c_0_97]) ).
cnf(c_0_147,negated_conjecture,
( epred39_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_124]),c_0_7])]) ).
cnf(c_0_148,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_125]) ).
cnf(c_0_149,negated_conjecture,
( epred38_0
| epred13_0
| epred3_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_55,c_0_126]) ).
cnf(c_0_150,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_128,c_0_127]),c_0_90]) ).
cnf(c_0_151,negated_conjecture,
epred15_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_27]),c_0_130]) ).
cnf(c_0_152,negated_conjecture,
( epred17_0
| ~ hskp21
| ~ c2_1(a336) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_11]),c_0_12]) ).
fof(c_0_153,plain,
( ~ epred44_0
<=> ! [X3] :
( c0_1(X3)
| ~ c3_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( epred23_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_132]) ).
cnf(c_0_155,negated_conjecture,
( c1_1(a297)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_156,negated_conjecture,
( ~ c0_1(a308)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_157,negated_conjecture,
( epred27_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_133]) ).
cnf(c_0_158,negated_conjecture,
( c1_1(a308)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_159,negated_conjecture,
( c3_1(a308)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_160,negated_conjecture,
( epred4_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_134]) ).
cnf(c_0_161,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_162,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_163,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_164,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_165,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c3_1(X2)
| hskp8
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_166,negated_conjecture,
( epred6_0
| hskp21
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_48]) ).
cnf(c_0_167,negated_conjecture,
( c1_1(a333)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_168,negated_conjecture,
( epred22_0
| hskp8
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_7])]) ).
cnf(c_0_169,negated_conjecture,
( epred38_0
| c2_1(a297)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_39]),c_0_137]) ).
cnf(c_0_170,negated_conjecture,
( hskp20
| hskp11
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_7])]) ).
cnf(c_0_171,negated_conjecture,
( epred17_0
| c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_29]),c_0_30]) ).
cnf(c_0_172,negated_conjecture,
( epred38_0
| hskp11
| hskp10
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_39]) ).
cnf(c_0_173,negated_conjecture,
( hskp2
| c1_1(X1)
| c0_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_7])]) ).
cnf(c_0_174,negated_conjecture,
( hskp14
| c0_1(X1)
| hskp0
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_7])]) ).
cnf(c_0_175,negated_conjecture,
( c0_1(a295)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_176,negated_conjecture,
( epred37_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_142]),c_0_97]) ).
cnf(c_0_177,negated_conjecture,
( epred43_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_143]),c_0_7])]) ).
cnf(c_0_178,negated_conjecture,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_144,c_0_37]),c_0_133]) ).
cnf(c_0_179,negated_conjecture,
( epred37_0
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_145]),c_0_109]) ).
cnf(c_0_180,negated_conjecture,
( epred40_0
| ~ epred41_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_146]) ).
cnf(c_0_181,negated_conjecture,
( epred39_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_147]),c_0_40]) ).
cnf(c_0_182,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_148,c_0_89]),c_0_134]) ).
cnf(c_0_183,negated_conjecture,
( epred38_0
| epred26_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_82]),c_0_99]),c_0_108]) ).
cnf(c_0_184,negated_conjecture,
( epred14_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_127]),c_0_7])]) ).
cnf(c_0_185,negated_conjecture,
( c2_1(a305)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_186,negated_conjecture,
~ epred14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151])]) ).
cnf(c_0_187,negated_conjecture,
( ~ c0_1(a305)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_188,negated_conjecture,
( ~ c1_1(a305)
| ~ hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_189,negated_conjecture,
( epred17_0
| hskp16
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_152,c_0_51]) ).
cnf(c_0_190,negated_conjecture,
( epred44_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_153]) ).
cnf(c_0_191,negated_conjecture,
( epred23_0
| ~ hskp2
| ~ c2_1(a297) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_154]),c_0_155]) ).
cnf(c_0_192,negated_conjecture,
( epred27_0
| ~ hskp10
| ~ c2_1(a308) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_193,negated_conjecture,
( epred13_0
| c2_1(a308)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_159]),c_0_158]) ).
cnf(c_0_194,negated_conjecture,
( ~ c0_1(a315)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_195,negated_conjecture,
( c2_1(a315)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_196,negated_conjecture,
( c1_1(a315)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_197,negated_conjecture,
( epred17_0
| ~ hskp10
| ~ c2_1(a308) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_159]),c_0_156]) ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a333)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_199,negated_conjecture,
( epred6_0
| epred4_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_48]) ).
cnf(c_0_200,negated_conjecture,
( c0_1(X3)
| c0_1(X2)
| c0_1(X1)
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[c_0_161]) ).
cnf(c_0_201,negated_conjecture,
( c0_1(X1)
| c2_1(X3)
| c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c1_1(X3) ),
inference(cn,[status(thm)],[c_0_162]) ).
cnf(c_0_202,negated_conjecture,
( c0_1(X3)
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(cn,[status(thm)],[c_0_163]) ).
cnf(c_0_203,negated_conjecture,
( c0_1(X3)
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c1_1(X3) ),
inference(cn,[status(thm)],[c_0_164]) ).
cnf(c_0_204,negated_conjecture,
( hskp8
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[c_0_165]) ).
cnf(c_0_205,negated_conjecture,
( epred6_0
| hskp21
| c3_1(a333)
| c2_1(a333)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_206,negated_conjecture,
( epred22_0
| hskp8
| c3_1(a297)
| c0_1(a297)
| epred38_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_207,negated_conjecture,
( hskp20
| hskp11
| c1_1(a321)
| epred17_0
| ~ c2_1(a321)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_208,negated_conjecture,
( epred38_0
| hskp11
| hskp10
| c2_1(a310)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_25,c_0_172]) ).
cnf(c_0_209,negated_conjecture,
( hskp2
| c1_1(a310)
| c0_1(a310)
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_173,c_0_23]) ).
cnf(c_0_210,negated_conjecture,
( hskp11
| hskp10
| c2_1(a310)
| c0_1(a310)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_139,c_0_23]) ).
cnf(c_0_211,negated_conjecture,
( hskp11
| hskp10
| c2_1(a336)
| c0_1(a336)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_139,c_0_11]) ).
cnf(c_0_212,negated_conjecture,
( hskp14
| c0_1(a336)
| hskp0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_174,c_0_11]) ).
cnf(c_0_213,negated_conjecture,
( hskp20
| hskp11
| c1_1(a295)
| ~ c2_1(a295)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_170,c_0_175]) ).
cnf(c_0_214,negated_conjecture,
( epred37_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_176]) ).
cnf(c_0_215,negated_conjecture,
( epred43_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_177]),c_0_155]),c_0_137]) ).
cnf(c_0_216,negated_conjecture,
( epred37_0
| ~ epred27_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_217,negated_conjecture,
( epred40_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_105])]) ).
cnf(c_0_218,negated_conjecture,
( epred39_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_63,c_0_181]) ).
cnf(c_0_219,negated_conjecture,
( epred38_0
| epred26_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_220,negated_conjecture,
( hskp1
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187]),c_0_188]) ).
cnf(c_0_221,negated_conjecture,
( epred17_0
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_27]),c_0_4]) ).
cnf(c_0_222,negated_conjecture,
( epred44_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_159]),c_0_158]),c_0_156]) ).
cnf(c_0_223,negated_conjecture,
( epred38_0
| epred23_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_191,c_0_169]) ).
cnf(c_0_224,negated_conjecture,
( epred27_0
| epred13_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_225,negated_conjecture,
( epred27_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_157]),c_0_195]),c_0_196]) ).
cnf(c_0_226,negated_conjecture,
( epred17_0
| epred13_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_197,c_0_193]) ).
cnf(c_0_227,negated_conjecture,
( epred6_0
| epred4_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_167]) ).
cnf(c_0_228,negated_conjecture,
( ~ epred44_0
| ~ epred43_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_200,c_0_143]),c_0_32]),c_0_153]) ).
cnf(c_0_229,negated_conjecture,
( ~ epred40_0
| ~ epred37_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_201,c_0_36]),c_0_33]),c_0_62]) ).
cnf(c_0_230,negated_conjecture,
( ~ epred39_0
| ~ epred38_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_202,c_0_124]),c_0_21]),c_0_116]) ).
cnf(c_0_231,negated_conjecture,
( ~ epred38_0
| ~ epred37_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203,c_0_36]),c_0_21]),c_0_133]) ).
cnf(c_0_232,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_204,c_0_135]),c_0_132]) ).
cnf(c_0_233,negated_conjecture,
( ~ c3_1(a333)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_234,negated_conjecture,
( ~ c1_1(a295)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_235,negated_conjecture,
( c2_1(a295)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_236,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_205,c_0_206,c_0_207,c_0_208,c_0_209,c_0_210,c_0_211,c_0_212,c_0_213,c_0_214,c_0_215,c_0_216,c_0_120,c_0_217,c_0_218,c_0_219,c_0_82,c_0_220,c_0_221,c_0_27,c_0_222,c_0_55,c_0_223,c_0_224,c_0_225,c_0_226,c_0_152,c_0_99,c_0_87,c_0_227,c_0_228,c_0_229,c_0_230,c_0_231,c_0_178,c_0_232,c_0_12,c_0_233,c_0_198,c_0_31,c_0_24,c_0_25,c_0_136,c_0_137,c_0_234,c_0_30,c_0_235,c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN445+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
% 0.16/0.32 % Computer : n031.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 08:35:39 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.33/3.18 % Version : CSE_E---1.7
% 4.33/3.18 % Problem : theBenchmark.p
% 4.33/3.18 % SZS status Theorem for theBenchmark.p
% 4.33/3.18 % SZS output start CNFRefutation
% See solution above
% 4.33/3.19 % Total time : 2.372s
%------------------------------------------------------------------------------