%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN502+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:34 PM UTC 2026
% Result : Theorem 4.43s 1.28s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f245ERROR: Could not build tree for root c_18936ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp9
| hskp11
| hskp5 )
& ( hskp24
| hskp13
| hskp23 )
& ( hskp14
| hskp13
| hskp2 )
& ( hskp11
| hskp18
| hskp19 )
& ( hskp24
| hskp13
| hskp8 )
& ( hskp11
| hskp13
| hskp8 )
& ( hskp15
| hskp7
| hskp8 )
& ( hskp9
| hskp19
| hskp8 )
& ( hskp5
| hskp18
| hskp22 )
& ( hskp2
| hskp22
| hskp28 )
& ( hskp27
| hskp24
| ! [X116] :
( ndr1_0
=> ( ~ c3_1(X116)
| ~ c2_1(X116)
| ~ c1_1(X116) ) ) )
& ( hskp4
| ! [X115] :
( ndr1_0
=> ( ~ c3_1(X115)
| ~ c1_1(X115)
| ~ c0_1(X115) ) ) )
& ( hskp4
| ! [X114] :
( ndr1_0
=> ( ~ c3_1(X114)
| ~ c2_1(X114)
| ~ c0_1(X114) ) )
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp21
| hskp31
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c1_1(X112)
| c3_1(X112) ) ) )
& ( hskp29
| hskp19
| ! [X111] :
( ndr1_0
=> ( ~ c1_1(X111)
| ~ c0_1(X111)
| c3_1(X111) ) ) )
& ( hskp26
| ! [X110] :
( ndr1_0
=> ( ~ c3_1(X110)
| ~ c1_1(X110)
| ~ c0_1(X110) ) )
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c1_1(X109)
| c2_1(X109) ) ) )
& ( hskp15
| hskp19
| ! [X108] :
( ndr1_0
=> ( ~ c1_1(X108)
| c3_1(X108)
| c2_1(X108) ) ) )
& ( hskp4
| hskp31
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| c3_1(X107)
| c2_1(X107) ) ) )
& ( hskp2
| hskp20
| ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| c3_1(X106)
| c2_1(X106) ) ) )
& ( hskp20
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c0_1(X105)
| c2_1(X105) ) )
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| c3_1(X104)
| c2_1(X104) ) ) )
& ( hskp7
| hskp22
| ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| c3_1(X103)
| c2_1(X103) ) ) )
& ( ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) ) )
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c0_1(X100)
| c3_1(X100)
| c2_1(X100) ) ) )
& ( hskp5
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c2_1(X99)
| c1_1(X99) ) ) )
& ( hskp7
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c2_1(X97)
| c1_1(X97) ) ) )
& ( hskp3
| hskp12
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c0_1(X96)
| c1_1(X96) ) ) )
& ( hskp5
| hskp10
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c0_1(X95)
| c1_1(X95) ) ) )
& ( hskp17
| hskp9
| ! [X94] :
( ndr1_0
=> ( ~ c2_1(X94)
| c3_1(X94)
| c1_1(X94) ) ) )
& ( hskp5
| ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| ~ c0_1(X93)
| c3_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| c3_1(X92)
| c1_1(X92) ) ) )
& ( hskp25
| ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c0_1(X91)
| c1_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| c3_1(X90)
| c1_1(X90) ) ) )
& ( hskp29
| ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| c3_1(X89)
| c1_1(X89) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c0_1(X88)
| c2_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c0_1(X87)
| c1_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c1_1(X86) ) ) )
& ( hskp11
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| ~ c1_1(X85)
| c3_1(X85) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c3_1(X84)
| c2_1(X84)
| c1_1(X84) ) ) )
& ( hskp29
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| c2_1(X82)
| c1_1(X82) ) ) )
& ( hskp10
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| c2_1(X80)
| c1_1(X80) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| c3_1(X78)
| c2_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp11
| hskp16
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| c2_1(X76)
| c1_1(X76) ) ) )
& ( hskp18
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| c2_1(X75)
| c1_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp4
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| ~ c0_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp20
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c0_1(X69)
| c1_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp24
| hskp11
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) ) )
& ( hskp24
| hskp23
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp17
| hskp19
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp31
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c0_1(X63)
| c2_1(X63) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c0_1(X62) ) ) )
& ( hskp18
| hskp22
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp11
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp21
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) ) )
& ( hskp13
| hskp8
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp20
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c0_1(X55)
| c3_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) ) )
& ( hskp16
| hskp19
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp4
| hskp28
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp9
| hskp18
| ! [X51] :
( ndr1_0
=> ( ~ c1_1(X51)
| c3_1(X51)
| c0_1(X51) ) ) )
& ( hskp10
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp17
| hskp29
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) ) )
& ( hskp14
| hskp31
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp16
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c1_1(X46)
| c3_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp15
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c0_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) ) )
& ( hskp14
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp9
| hskp30
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp11
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| c2_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| hskp7
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c1_1(X30)
| c0_1(X30) ) ) )
& ( hskp10
| ! [X29] :
( ndr1_0
=> ( ~ c2_1(X29)
| c1_1(X29)
| c0_1(X29) ) ) )
& ( hskp9
| hskp31
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c1_1(X28)
| c0_1(X28) ) ) )
& ( hskp31
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| c1_1(X27)
| c0_1(X27) ) ) )
& ( hskp8
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| ~ c0_1(X26)
| c3_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp7
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp30
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| c3_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp6
| ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| c2_1(X20)
| c1_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp5
| hskp29
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp4
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| ~ c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp3
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp28
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| c3_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp1
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ) )
& ( hskp0
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a246)
& c2_1(a246)
& c0_1(a246)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a243)
& c1_1(a243)
& c0_1(a243)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a240)
& c2_1(a240)
& c1_1(a240)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a237)
& c1_1(a237)
& c0_1(a237)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a322)
& ~ c2_1(a322)
& ~ c1_1(a322)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a314)
& ~ c0_1(a314)
& c2_1(a314)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a294)
& c2_1(a294)
& c1_1(a294)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a282)
& ~ c0_1(a282)
& c3_1(a282)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a281)
& c3_1(a281)
& c1_1(a281)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a276)
& c1_1(a276)
& c0_1(a276)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a274)
& c2_1(a274)
& c0_1(a274)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a271)
& c1_1(a271)
& c0_1(a271)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a269)
& c3_1(a269)
& c0_1(a269)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c0_1(a265)
& c2_1(a265)
& c1_1(a265)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a263)
& ~ c1_1(a263)
& ~ c0_1(a263)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a259)
& ~ c2_1(a259)
& c1_1(a259)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a258)
& ~ c2_1(a258)
& ~ c0_1(a258)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a257)
& c3_1(a257)
& c2_1(a257)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a253)
& ~ c0_1(a253)
& c1_1(a253)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a252)
& ~ c1_1(a252)
& c0_1(a252)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a251)
& ~ c1_1(a251)
& c2_1(a251)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a249)
& c3_1(a249)
& c0_1(a249)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a248)
& ~ c0_1(a248)
& c3_1(a248)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a245)
& c2_1(a245)
& c0_1(a245)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a244)
& ~ c1_1(a244)
& c0_1(a244)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a242)
& ~ c0_1(a242)
& c2_1(a242)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a241)
& c3_1(a241)
& c2_1(a241)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a239)
& ~ c1_1(a239)
& c3_1(a239)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a238)
& ~ c2_1(a238)
& c0_1(a238)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a236)
& c3_1(a236)
& c1_1(a236)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a235)
& ~ c1_1(a235)
& ~ c0_1(a235)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a234)
& ~ c0_1(a234)
& c1_1(a234)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp9
| hskp11
| hskp5 )
& ( hskp24
| hskp13
| hskp23 )
& ( hskp14
| hskp13
| hskp2 )
& ( hskp11
| hskp18
| hskp19 )
& ( hskp24
| hskp13
| hskp8 )
& ( hskp11
| hskp13
| hskp8 )
& ( hskp15
| hskp7
| hskp8 )
& ( hskp9
| hskp19
| hskp8 )
& ( hskp5
| hskp18
| hskp22 )
& ( hskp2
| hskp22
| hskp28 )
& ( hskp27
| hskp24
| ! [X116] :
( ndr1_0
=> ( ~ c3_1(X116)
| ~ c2_1(X116)
| ~ c1_1(X116) ) ) )
& ( hskp4
| ! [X115] :
( ndr1_0
=> ( ~ c3_1(X115)
| ~ c1_1(X115)
| ~ c0_1(X115) ) ) )
& ( hskp4
| ! [X114] :
( ndr1_0
=> ( ~ c3_1(X114)
| ~ c2_1(X114)
| ~ c0_1(X114) ) )
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp21
| hskp31
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c1_1(X112)
| c3_1(X112) ) ) )
& ( hskp29
| hskp19
| ! [X111] :
( ndr1_0
=> ( ~ c1_1(X111)
| ~ c0_1(X111)
| c3_1(X111) ) ) )
& ( hskp26
| ! [X110] :
( ndr1_0
=> ( ~ c3_1(X110)
| ~ c1_1(X110)
| ~ c0_1(X110) ) )
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c1_1(X109)
| c2_1(X109) ) ) )
& ( hskp15
| hskp19
| ! [X108] :
( ndr1_0
=> ( ~ c1_1(X108)
| c3_1(X108)
| c2_1(X108) ) ) )
& ( hskp4
| hskp31
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| c3_1(X107)
| c2_1(X107) ) ) )
& ( hskp2
| hskp20
| ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| c3_1(X106)
| c2_1(X106) ) ) )
& ( hskp20
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c0_1(X105)
| c2_1(X105) ) )
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| c3_1(X104)
| c2_1(X104) ) ) )
& ( hskp7
| hskp22
| ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| c3_1(X103)
| c2_1(X103) ) ) )
& ( ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) ) )
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c0_1(X100)
| c3_1(X100)
| c2_1(X100) ) ) )
& ( hskp5
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c2_1(X99)
| c1_1(X99) ) ) )
& ( hskp7
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c2_1(X97)
| c1_1(X97) ) ) )
& ( hskp3
| hskp12
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c0_1(X96)
| c1_1(X96) ) ) )
& ( hskp5
| hskp10
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c0_1(X95)
| c1_1(X95) ) ) )
& ( hskp17
| hskp9
| ! [X94] :
( ndr1_0
=> ( ~ c2_1(X94)
| c3_1(X94)
| c1_1(X94) ) ) )
& ( hskp5
| ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| ~ c0_1(X93)
| c3_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| c3_1(X92)
| c1_1(X92) ) ) )
& ( hskp25
| ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c0_1(X91)
| c1_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| c3_1(X90)
| c1_1(X90) ) ) )
& ( hskp29
| ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| c3_1(X89)
| c1_1(X89) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c0_1(X88)
| c2_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c0_1(X87)
| c1_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c1_1(X86) ) ) )
& ( hskp11
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| ~ c1_1(X85)
| c3_1(X85) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c3_1(X84)
| c2_1(X84)
| c1_1(X84) ) ) )
& ( hskp29
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| c2_1(X82)
| c1_1(X82) ) ) )
& ( hskp10
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| c2_1(X80)
| c1_1(X80) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| c3_1(X78)
| c2_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp11
| hskp16
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| c2_1(X76)
| c1_1(X76) ) ) )
& ( hskp18
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| c2_1(X75)
| c1_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp4
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| ~ c0_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp20
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c0_1(X69)
| c1_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp24
| hskp11
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) ) )
& ( hskp24
| hskp23
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp17
| hskp19
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp31
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c0_1(X63)
| c2_1(X63) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c0_1(X62) ) ) )
& ( hskp18
| hskp22
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp11
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp21
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) ) )
& ( hskp13
| hskp8
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp20
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c0_1(X55)
| c3_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) ) )
& ( hskp16
| hskp19
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp4
| hskp28
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp9
| hskp18
| ! [X51] :
( ndr1_0
=> ( ~ c1_1(X51)
| c3_1(X51)
| c0_1(X51) ) ) )
& ( hskp10
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp17
| hskp29
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) ) )
& ( hskp14
| hskp31
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp16
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c1_1(X46)
| c3_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp15
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c0_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) ) )
& ( hskp14
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp9
| hskp30
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp11
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| c2_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| hskp7
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c1_1(X30)
| c0_1(X30) ) ) )
& ( hskp10
| ! [X29] :
( ndr1_0
=> ( ~ c2_1(X29)
| c1_1(X29)
| c0_1(X29) ) ) )
& ( hskp9
| hskp31
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c1_1(X28)
| c0_1(X28) ) ) )
& ( hskp31
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| c1_1(X27)
| c0_1(X27) ) ) )
& ( hskp8
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| ~ c0_1(X26)
| c3_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp7
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp30
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| c3_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp6
| ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| c2_1(X20)
| c1_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp5
| hskp29
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp4
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| ~ c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp3
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp28
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| c3_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp1
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ) )
& ( hskp0
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a246)
& c2_1(a246)
& c0_1(a246)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a243)
& c1_1(a243)
& c0_1(a243)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a240)
& c2_1(a240)
& c1_1(a240)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a237)
& c1_1(a237)
& c0_1(a237)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a322)
& ~ c2_1(a322)
& ~ c1_1(a322)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a314)
& ~ c0_1(a314)
& c2_1(a314)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a294)
& c2_1(a294)
& c1_1(a294)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a282)
& ~ c0_1(a282)
& c3_1(a282)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a281)
& c3_1(a281)
& c1_1(a281)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a276)
& c1_1(a276)
& c0_1(a276)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a274)
& c2_1(a274)
& c0_1(a274)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a271)
& c1_1(a271)
& c0_1(a271)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a269)
& c3_1(a269)
& c0_1(a269)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c0_1(a265)
& c2_1(a265)
& c1_1(a265)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a263)
& ~ c1_1(a263)
& ~ c0_1(a263)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a259)
& ~ c2_1(a259)
& c1_1(a259)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a258)
& ~ c2_1(a258)
& ~ c0_1(a258)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a257)
& c3_1(a257)
& c2_1(a257)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a253)
& ~ c0_1(a253)
& c1_1(a253)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a252)
& ~ c1_1(a252)
& c0_1(a252)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a251)
& ~ c1_1(a251)
& c2_1(a251)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a249)
& c3_1(a249)
& c0_1(a249)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a248)
& ~ c0_1(a248)
& c3_1(a248)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a245)
& c2_1(a245)
& c0_1(a245)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a244)
& ~ c1_1(a244)
& c0_1(a244)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a242)
& ~ c0_1(a242)
& c2_1(a242)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a241)
& c3_1(a241)
& c2_1(a241)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a239)
& ~ c1_1(a239)
& c3_1(a239)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a238)
& ~ c2_1(a238)
& c0_1(a238)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a236)
& c3_1(a236)
& c1_1(a236)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a235)
& ~ c1_1(a235)
& ~ c0_1(a235)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a234)
& ~ c0_1(a234)
& c1_1(a234)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp9
| hskp11
| hskp5 )
& ( hskp24
| hskp13
| hskp23 )
& ( hskp14
| hskp13
| hskp2 )
& ( hskp11
| hskp18
| hskp19 )
& ( hskp24
| hskp13
| hskp8 )
& ( hskp11
| hskp13
| hskp8 )
& ( hskp15
| hskp7
| hskp8 )
& ( hskp9
| hskp19
| hskp8 )
& ( hskp5
| hskp18
| hskp22 )
& ( hskp2
| hskp22
| hskp28 )
& ( hskp27
| hskp24
| ! [X116] :
( ndr1_0
=> ( ~ c3_1(X116)
| ~ c2_1(X116)
| ~ c1_1(X116) ) ) )
& ( hskp4
| ! [X115] :
( ndr1_0
=> ( ~ c3_1(X115)
| ~ c1_1(X115)
| ~ c0_1(X115) ) ) )
& ( hskp4
| ! [X114] :
( ndr1_0
=> ( ~ c3_1(X114)
| ~ c2_1(X114)
| ~ c0_1(X114) ) )
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp21
| hskp31
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c1_1(X112)
| c3_1(X112) ) ) )
& ( hskp29
| hskp19
| ! [X111] :
( ndr1_0
=> ( ~ c1_1(X111)
| ~ c0_1(X111)
| c3_1(X111) ) ) )
& ( hskp26
| ! [X110] :
( ndr1_0
=> ( ~ c3_1(X110)
| ~ c1_1(X110)
| ~ c0_1(X110) ) )
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c1_1(X109)
| c2_1(X109) ) ) )
& ( hskp15
| hskp19
| ! [X108] :
( ndr1_0
=> ( ~ c1_1(X108)
| c3_1(X108)
| c2_1(X108) ) ) )
& ( hskp4
| hskp31
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| c3_1(X107)
| c2_1(X107) ) ) )
& ( hskp2
| hskp20
| ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| c3_1(X106)
| c2_1(X106) ) ) )
& ( hskp20
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c0_1(X105)
| c2_1(X105) ) )
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| c3_1(X104)
| c2_1(X104) ) ) )
& ( hskp7
| hskp22
| ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| c3_1(X103)
| c2_1(X103) ) ) )
& ( ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) ) )
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c0_1(X100)
| c3_1(X100)
| c2_1(X100) ) ) )
& ( hskp5
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c2_1(X99)
| c1_1(X99) ) ) )
& ( hskp7
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c2_1(X97)
| c1_1(X97) ) ) )
& ( hskp3
| hskp12
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c0_1(X96)
| c1_1(X96) ) ) )
& ( hskp5
| hskp10
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c0_1(X95)
| c1_1(X95) ) ) )
& ( hskp17
| hskp9
| ! [X94] :
( ndr1_0
=> ( ~ c2_1(X94)
| c3_1(X94)
| c1_1(X94) ) ) )
& ( hskp5
| ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| ~ c0_1(X93)
| c3_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| c3_1(X92)
| c1_1(X92) ) ) )
& ( hskp25
| ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c0_1(X91)
| c1_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| c3_1(X90)
| c1_1(X90) ) ) )
& ( hskp29
| ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| c3_1(X89)
| c1_1(X89) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c0_1(X88)
| c2_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c0_1(X87)
| c1_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c1_1(X86) ) ) )
& ( hskp11
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| ~ c1_1(X85)
| c3_1(X85) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c3_1(X84)
| c2_1(X84)
| c1_1(X84) ) ) )
& ( hskp29
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| c2_1(X82)
| c1_1(X82) ) ) )
& ( hskp10
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| c2_1(X80)
| c1_1(X80) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| c3_1(X78)
| c2_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp11
| hskp16
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| c2_1(X76)
| c1_1(X76) ) ) )
& ( hskp18
| ! [X75] :
( ndr1_0
=> ( ~ c3_1(X75)
| c2_1(X75)
| c1_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp4
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c1_1(X73)
| ~ c0_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp20
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c0_1(X69)
| c1_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp24
| hskp11
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) ) )
& ( hskp24
| hskp23
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp17
| hskp19
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp31
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c0_1(X63)
| c2_1(X63) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c0_1(X62) ) ) )
& ( hskp18
| hskp22
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp11
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp21
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) ) )
& ( hskp13
| hskp8
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp20
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c0_1(X55)
| c3_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) ) )
& ( hskp16
| hskp19
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp4
| hskp28
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp9
| hskp18
| ! [X51] :
( ndr1_0
=> ( ~ c1_1(X51)
| c3_1(X51)
| c0_1(X51) ) ) )
& ( hskp10
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp17
| hskp29
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) ) )
& ( hskp14
| hskp31
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp16
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c1_1(X46)
| c3_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp15
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c0_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) ) )
& ( hskp14
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp9
| hskp30
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp11
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| c2_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| hskp7
| ! [X30] :
( ndr1_0
=> ( ~ c2_1(X30)
| c1_1(X30)
| c0_1(X30) ) ) )
& ( hskp10
| ! [X29] :
( ndr1_0
=> ( ~ c2_1(X29)
| c1_1(X29)
| c0_1(X29) ) ) )
& ( hskp9
| hskp31
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c1_1(X28)
| c0_1(X28) ) ) )
& ( hskp31
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| c1_1(X27)
| c0_1(X27) ) ) )
& ( hskp8
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| ~ c0_1(X26)
| c3_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp7
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp30
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| c3_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp6
| ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| c2_1(X20)
| c1_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp5
| hskp29
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp4
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| ~ c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp3
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp28
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| c3_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp1
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ) )
& ( hskp0
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a246)
& c2_1(a246)
& c0_1(a246)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a243)
& c1_1(a243)
& c0_1(a243)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a240)
& c2_1(a240)
& c1_1(a240)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a237)
& c1_1(a237)
& c0_1(a237)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a322)
& ~ c2_1(a322)
& ~ c1_1(a322)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a314)
& ~ c0_1(a314)
& c2_1(a314)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a294)
& c2_1(a294)
& c1_1(a294)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a282)
& ~ c0_1(a282)
& c3_1(a282)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a281)
& c3_1(a281)
& c1_1(a281)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a276)
& c1_1(a276)
& c0_1(a276)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a274)
& c2_1(a274)
& c0_1(a274)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a271)
& c1_1(a271)
& c0_1(a271)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a269)
& c3_1(a269)
& c0_1(a269)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c0_1(a265)
& c2_1(a265)
& c1_1(a265)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a263)
& ~ c1_1(a263)
& ~ c0_1(a263)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a259)
& ~ c2_1(a259)
& c1_1(a259)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a258)
& ~ c2_1(a258)
& ~ c0_1(a258)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a257)
& c3_1(a257)
& c2_1(a257)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a253)
& ~ c0_1(a253)
& c1_1(a253)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a252)
& ~ c1_1(a252)
& c0_1(a252)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a251)
& ~ c1_1(a251)
& c2_1(a251)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a249)
& c3_1(a249)
& c0_1(a249)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a248)
& ~ c0_1(a248)
& c3_1(a248)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a245)
& c2_1(a245)
& c0_1(a245)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a244)
& ~ c1_1(a244)
& c0_1(a244)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a242)
& ~ c0_1(a242)
& c2_1(a242)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a241)
& c3_1(a241)
& c2_1(a241)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a239)
& ~ c1_1(a239)
& c3_1(a239)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a238)
& ~ c2_1(a238)
& c0_1(a238)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a236)
& c3_1(a236)
& c1_1(a236)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a235)
& ~ c1_1(a235)
& ~ c0_1(a235)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a234)
& ~ c0_1(a234)
& c1_1(a234)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( hskp9
| hskp11
| hskp5 )
& ( hskp24
| hskp13
| hskp23 )
& ( hskp14
| hskp13
| hskp2 )
& ( hskp11
| hskp18
| hskp19 )
& ( hskp24
| hskp13
| hskp8 )
& ( hskp11
| hskp13
| hskp8 )
& ( hskp15
| hskp7
| hskp8 )
& ( hskp9
| hskp19
| hskp8 )
& ( hskp5
| hskp18
| hskp22 )
& ( hskp2
| hskp22
| hskp28 )
& ( hskp27
| hskp24
| ! [X116] :
( ~ ndr1_0
| ~ c3_1(X116)
| ~ c2_1(X116)
| ~ c1_1(X116) ) )
& ( hskp4
| ! [X115] :
( ~ ndr1_0
| ~ c3_1(X115)
| ~ c1_1(X115)
| ~ c0_1(X115) ) )
& ( hskp4
| ! [X114] :
( ~ ndr1_0
| ~ c3_1(X114)
| ~ c2_1(X114)
| ~ c0_1(X114) )
| ! [X113] :
( ~ ndr1_0
| ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) )
& ( hskp21
| hskp31
| ! [X112] :
( ~ ndr1_0
| ~ c2_1(X112)
| ~ c1_1(X112)
| c3_1(X112) ) )
& ( hskp29
| hskp19
| ! [X111] :
( ~ ndr1_0
| ~ c1_1(X111)
| ~ c0_1(X111)
| c3_1(X111) ) )
& ( hskp26
| ! [X110] :
( ~ ndr1_0
| ~ c3_1(X110)
| ~ c1_1(X110)
| ~ c0_1(X110) )
| ! [X109] :
( ~ ndr1_0
| ~ c3_1(X109)
| ~ c1_1(X109)
| c2_1(X109) ) )
& ( hskp15
| hskp19
| ! [X108] :
( ~ ndr1_0
| ~ c1_1(X108)
| c3_1(X108)
| c2_1(X108) ) )
& ( hskp4
| hskp31
| ! [X107] :
( ~ ndr1_0
| ~ c1_1(X107)
| c3_1(X107)
| c2_1(X107) ) )
& ( hskp2
| hskp20
| ! [X106] :
( ~ ndr1_0
| ~ c1_1(X106)
| c3_1(X106)
| c2_1(X106) ) )
& ( hskp20
| ! [X105] :
( ~ ndr1_0
| ~ c3_1(X105)
| ~ c0_1(X105)
| c2_1(X105) )
| ! [X104] :
( ~ ndr1_0
| ~ c1_1(X104)
| c3_1(X104)
| c2_1(X104) ) )
& ( hskp7
| hskp22
| ! [X103] :
( ~ ndr1_0
| ~ c0_1(X103)
| c3_1(X103)
| c2_1(X103) ) )
& ( ! [X102] :
( ~ ndr1_0
| ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) )
| ! [X101] :
( ~ ndr1_0
| ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) )
| ! [X100] :
( ~ ndr1_0
| ~ c0_1(X100)
| c3_1(X100)
| c2_1(X100) ) )
& ( hskp5
| hskp25
| ! [X99] :
( ~ ndr1_0
| ~ c3_1(X99)
| ~ c2_1(X99)
| c1_1(X99) ) )
& ( hskp7
| ! [X98] :
( ~ ndr1_0
| ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) )
| ! [X97] :
( ~ ndr1_0
| ~ c3_1(X97)
| ~ c2_1(X97)
| c1_1(X97) ) )
& ( hskp3
| hskp12
| ! [X96] :
( ~ ndr1_0
| ~ c3_1(X96)
| ~ c0_1(X96)
| c1_1(X96) ) )
& ( hskp5
| hskp10
| ! [X95] :
( ~ ndr1_0
| ~ c3_1(X95)
| ~ c0_1(X95)
| c1_1(X95) ) )
& ( hskp17
| hskp9
| ! [X94] :
( ~ ndr1_0
| ~ c2_1(X94)
| c3_1(X94)
| c1_1(X94) ) )
& ( hskp5
| ! [X93] :
( ~ ndr1_0
| ~ c2_1(X93)
| ~ c0_1(X93)
| c3_1(X93) )
| ! [X92] :
( ~ ndr1_0
| ~ c2_1(X92)
| c3_1(X92)
| c1_1(X92) ) )
& ( hskp25
| ! [X91] :
( ~ ndr1_0
| ~ c3_1(X91)
| ~ c0_1(X91)
| c1_1(X91) )
| ! [X90] :
( ~ ndr1_0
| ~ c2_1(X90)
| c3_1(X90)
| c1_1(X90) ) )
& ( hskp29
| ! [X89] :
( ~ ndr1_0
| ~ c0_1(X89)
| c3_1(X89)
| c1_1(X89) ) )
& ( ! [X88] :
( ~ ndr1_0
| ~ c3_1(X88)
| ~ c0_1(X88)
| c2_1(X88) )
| ! [X87] :
( ~ ndr1_0
| ~ c3_1(X87)
| ~ c0_1(X87)
| c1_1(X87) )
| ! [X86] :
( ~ ndr1_0
| ~ c0_1(X86)
| c3_1(X86)
| c1_1(X86) ) )
& ( hskp11
| ! [X85] :
( ~ ndr1_0
| ~ c2_1(X85)
| ~ c1_1(X85)
| c3_1(X85) )
| ! [X84] :
( ~ ndr1_0
| ~ c3_1(X84)
| c2_1(X84)
| c1_1(X84) ) )
& ( hskp29
| ! [X83] :
( ~ ndr1_0
| ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) )
| ! [X82] :
( ~ ndr1_0
| ~ c3_1(X82)
| c2_1(X82)
| c1_1(X82) ) )
& ( hskp10
| ! [X81] :
( ~ ndr1_0
| ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) )
| ! [X80] :
( ~ ndr1_0
| ~ c3_1(X80)
| c2_1(X80)
| c1_1(X80) ) )
& ( ! [X79] :
( ~ ndr1_0
| ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) )
| ! [X78] :
( ~ ndr1_0
| ~ c1_1(X78)
| c3_1(X78)
| c2_1(X78) )
| ! [X77] :
( ~ ndr1_0
| ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) )
& ( hskp11
| hskp16
| ! [X76] :
( ~ ndr1_0
| ~ c0_1(X76)
| c2_1(X76)
| c1_1(X76) ) )
& ( hskp18
| ! [X75] :
( ~ ndr1_0
| ~ c3_1(X75)
| c2_1(X75)
| c1_1(X75) )
| ! [X74] :
( ~ ndr1_0
| ~ c0_1(X74)
| c2_1(X74)
| c1_1(X74) ) )
& ( hskp4
| ! [X73] :
( ~ ndr1_0
| ~ c2_1(X73)
| ~ c1_1(X73)
| ~ c0_1(X73) )
| ! [X72] :
( ~ ndr1_0
| c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) )
& ( hskp20
| ! [X71] :
( ~ ndr1_0
| ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) )
| ! [X70] :
( ~ ndr1_0
| c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) )
& ( ! [X69] :
( ~ ndr1_0
| ~ c3_1(X69)
| ~ c0_1(X69)
| c1_1(X69) )
| ! [X68] :
( ~ ndr1_0
| ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) )
| ! [X67] :
( ~ ndr1_0
| c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) )
& ( hskp24
| hskp11
| ! [X66] :
( ~ ndr1_0
| ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) )
& ( hskp24
| hskp23
| ! [X65] :
( ~ ndr1_0
| ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) )
& ( hskp17
| hskp19
| ! [X64] :
( ~ ndr1_0
| ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) )
& ( hskp31
| ! [X63] :
( ~ ndr1_0
| ~ c1_1(X63)
| ~ c0_1(X63)
| c2_1(X63) )
| ! [X62] :
( ~ ndr1_0
| ~ c3_1(X62)
| ~ c2_1(X62)
| c0_1(X62) ) )
& ( hskp18
| hskp22
| ! [X61] :
( ~ ndr1_0
| ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) )
& ( hskp11
| ! [X60] :
( ~ ndr1_0
| ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) )
| ! [X59] :
( ~ ndr1_0
| ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) )
& ( hskp21
| ! [X58] :
( ~ ndr1_0
| c3_1(X58)
| c2_1(X58)
| c1_1(X58) )
| ! [X57] :
( ~ ndr1_0
| ~ c3_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) )
& ( hskp13
| hskp8
| ! [X56] :
( ~ ndr1_0
| ~ c2_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) )
& ( hskp20
| ! [X55] :
( ~ ndr1_0
| ~ c2_1(X55)
| ~ c0_1(X55)
| c3_1(X55) )
| ! [X54] :
( ~ ndr1_0
| ~ c2_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) )
& ( hskp16
| hskp19
| ! [X53] :
( ~ ndr1_0
| ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) )
& ( hskp4
| hskp28
| ! [X52] :
( ~ ndr1_0
| ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) )
& ( hskp9
| hskp18
| ! [X51] :
( ~ ndr1_0
| ~ c1_1(X51)
| c3_1(X51)
| c0_1(X51) ) )
& ( hskp10
| ! [X50] :
( ~ ndr1_0
| ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) )
| ! [X49] :
( ~ ndr1_0
| ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) )
& ( hskp17
| hskp29
| ! [X48] :
( ~ ndr1_0
| ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) )
& ( hskp14
| hskp31
| ! [X47] :
( ~ ndr1_0
| ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) )
& ( hskp16
| ! [X46] :
( ~ ndr1_0
| ~ c2_1(X46)
| ~ c1_1(X46)
| c3_1(X46) )
| ! [X45] :
( ~ ndr1_0
| ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) )
& ( hskp15
| ! [X44] :
( ~ ndr1_0
| ~ c3_1(X44)
| ~ c0_1(X44)
| c1_1(X44) )
| ! [X43] :
( ~ ndr1_0
| ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) )
& ( hskp14
| ! [X42] :
( ~ ndr1_0
| ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) )
| ! [X41] :
( ~ ndr1_0
| ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) )
& ( ! [X40] :
( ~ ndr1_0
| ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40) )
| ! [X39] :
( ~ ndr1_0
| ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) )
| ! [X38] :
( ~ ndr1_0
| ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) )
& ( hskp9
| hskp30
| ! [X37] :
( ~ ndr1_0
| c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) )
& ( hskp11
| ! [X36] :
( ~ ndr1_0
| ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) )
| ! [X35] :
( ~ ndr1_0
| c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) )
& ( ! [X34] :
( ~ ndr1_0
| ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) )
| ! [X33] :
( ~ ndr1_0
| ~ c3_1(X33)
| c2_1(X33)
| c0_1(X33) )
| ! [X32] :
( ~ ndr1_0
| c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ~ ndr1_0
| ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) )
& ( hskp11
| hskp7
| ! [X30] :
( ~ ndr1_0
| ~ c2_1(X30)
| c1_1(X30)
| c0_1(X30) ) )
& ( hskp10
| ! [X29] :
( ~ ndr1_0
| ~ c2_1(X29)
| c1_1(X29)
| c0_1(X29) ) )
& ( hskp9
| hskp31
| ! [X28] :
( ~ ndr1_0
| ~ c2_1(X28)
| c1_1(X28)
| c0_1(X28) ) )
& ( hskp31
| ! [X27] :
( ~ ndr1_0
| ~ c2_1(X27)
| c1_1(X27)
| c0_1(X27) ) )
& ( hskp8
| ! [X26] :
( ~ ndr1_0
| ~ c2_1(X26)
| ~ c0_1(X26)
| c3_1(X26) )
| ! [X25] :
( ~ ndr1_0
| ~ c2_1(X25)
| c1_1(X25)
| c0_1(X25) ) )
& ( hskp7
| ! [X24] :
( ~ ndr1_0
| ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) )
| ! [X23] :
( ~ ndr1_0
| c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) )
& ( hskp30
| ! [X22] :
( ~ ndr1_0
| ~ c0_1(X22)
| c3_1(X22)
| c1_1(X22) )
| ! [X21] :
( ~ ndr1_0
| c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) )
& ( hskp6
| ! [X20] :
( ~ ndr1_0
| c3_1(X20)
| c2_1(X20)
| c1_1(X20) )
| ! [X19] :
( ~ ndr1_0
| c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) )
& ( hskp5
| hskp29
| ! [X18] :
( ~ ndr1_0
| c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) )
& ( hskp4
| ! [X17] :
( ~ ndr1_0
| ~ c3_1(X17)
| ~ c2_1(X17)
| ~ c1_1(X17) )
| ! [X16] :
( ~ ndr1_0
| c2_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
& ( hskp3
| ! [X15] :
( ~ ndr1_0
| ~ c3_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) )
| ! [X14] :
( ~ ndr1_0
| c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) )
& ( hskp28
| ! [X13] :
( ~ ndr1_0
| ~ c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) )
| ! [X12] :
( ~ ndr1_0
| c2_1(X12)
| c1_1(X12)
| c0_1(X12) ) )
& ( hskp2
| ! [X11] :
( ~ ndr1_0
| ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) )
| ! [X10] :
( ~ ndr1_0
| c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) )
& ( ! [X9] :
( ~ ndr1_0
| ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) )
| ! [X8] :
( ~ ndr1_0
| ~ c3_1(X8)
| ~ c1_1(X8)
| c0_1(X8) )
| ! [X7] :
( ~ ndr1_0
| c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) )
& ( ! [X6] :
( ~ ndr1_0
| ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) )
| ! [X5] :
( ~ ndr1_0
| ~ c1_1(X5)
| c3_1(X5)
| c0_1(X5) )
| ! [X4] :
( ~ ndr1_0
| c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) )
& ( hskp1
| ! [X3] :
( ~ ndr1_0
| ~ c3_1(X3)
| c2_1(X3)
| c0_1(X3) )
| ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
& ( hskp0
| ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ! [X0] :
( ~ ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) )
& ( ( c3_1(a246)
& c2_1(a246)
& c0_1(a246)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a243)
& c1_1(a243)
& c0_1(a243)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a240)
& c2_1(a240)
& c1_1(a240)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a237)
& c1_1(a237)
& c0_1(a237)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a322)
& ~ c2_1(a322)
& ~ c1_1(a322)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a314)
& ~ c0_1(a314)
& c2_1(a314)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a294)
& c2_1(a294)
& c1_1(a294)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a282)
& ~ c0_1(a282)
& c3_1(a282)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a281)
& c3_1(a281)
& c1_1(a281)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a276)
& c1_1(a276)
& c0_1(a276)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a274)
& c2_1(a274)
& c0_1(a274)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a271)
& c1_1(a271)
& c0_1(a271)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a269)
& c3_1(a269)
& c0_1(a269)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c0_1(a265)
& c2_1(a265)
& c1_1(a265)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a263)
& ~ c1_1(a263)
& ~ c0_1(a263)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a259)
& ~ c2_1(a259)
& c1_1(a259)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a258)
& ~ c2_1(a258)
& ~ c0_1(a258)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a257)
& c3_1(a257)
& c2_1(a257)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a253)
& ~ c0_1(a253)
& c1_1(a253)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a252)
& ~ c1_1(a252)
& c0_1(a252)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a251)
& ~ c1_1(a251)
& c2_1(a251)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a249)
& c3_1(a249)
& c0_1(a249)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a248)
& ~ c0_1(a248)
& c3_1(a248)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a245)
& c2_1(a245)
& c0_1(a245)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a244)
& ~ c1_1(a244)
& c0_1(a244)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a242)
& ~ c0_1(a242)
& c2_1(a242)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a241)
& c3_1(a241)
& c2_1(a241)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a239)
& ~ c1_1(a239)
& c3_1(a239)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a238)
& ~ c2_1(a238)
& c0_1(a238)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a236)
& c3_1(a236)
& c1_1(a236)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a235)
& ~ c1_1(a235)
& ~ c0_1(a235)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a234)
& ~ c0_1(a234)
& c1_1(a234)
& ndr1_0 )
| ~ hskp0 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( hskp9
| hskp11
| hskp5 )
& ( hskp24
| hskp13
| hskp23 )
& ( hskp14
| hskp13
| hskp2 )
& ( hskp11
| hskp18
| hskp19 )
& ( hskp24
| hskp13
| hskp8 )
& ( hskp11
| hskp13
| hskp8 )
& ( hskp15
| hskp7
| hskp8 )
& ( hskp9
| hskp19
| hskp8 )
& ( hskp5
| hskp18
| hskp22 )
& ( hskp2
| hskp22
| hskp28 )
& ( hskp27
| hskp24
| ! [X116] :
( ~ ndr1_0
| ~ c3_1(X116)
| ~ c2_1(X116)
| ~ c1_1(X116) ) )
& ( hskp4
| ! [X115] :
( ~ ndr1_0
| ~ c3_1(X115)
| ~ c1_1(X115)
| ~ c0_1(X115) ) )
& ( hskp4
| ! [X114] :
( ~ ndr1_0
| ~ c3_1(X114)
| ~ c2_1(X114)
| ~ c0_1(X114) )
| ! [X113] :
( ~ ndr1_0
| ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) )
& ( hskp21
| hskp31
| ! [X112] :
( ~ ndr1_0
| ~ c2_1(X112)
| ~ c1_1(X112)
| c3_1(X112) ) )
& ( hskp29
| hskp19
| ! [X111] :
( ~ ndr1_0
| ~ c1_1(X111)
| ~ c0_1(X111)
| c3_1(X111) ) )
& ( hskp26
| ! [X110] :
( ~ ndr1_0
| ~ c3_1(X110)
| ~ c1_1(X110)
| ~ c0_1(X110) )
| ! [X109] :
( ~ ndr1_0
| ~ c3_1(X109)
| ~ c1_1(X109)
| c2_1(X109) ) )
& ( hskp15
| hskp19
| ! [X108] :
( ~ ndr1_0
| ~ c1_1(X108)
| c3_1(X108)
| c2_1(X108) ) )
& ( hskp4
| hskp31
| ! [X107] :
( ~ ndr1_0
| ~ c1_1(X107)
| c3_1(X107)
| c2_1(X107) ) )
& ( hskp2
| hskp20
| ! [X106] :
( ~ ndr1_0
| ~ c1_1(X106)
| c3_1(X106)
| c2_1(X106) ) )
& ( hskp20
| ! [X105] :
( ~ ndr1_0
| ~ c3_1(X105)
| ~ c0_1(X105)
| c2_1(X105) )
| ! [X104] :
( ~ ndr1_0
| ~ c1_1(X104)
| c3_1(X104)
| c2_1(X104) ) )
& ( hskp7
| hskp22
| ! [X103] :
( ~ ndr1_0
| ~ c0_1(X103)
| c3_1(X103)
| c2_1(X103) ) )
& ( ! [X102] :
( ~ ndr1_0
| ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) )
| ! [X101] :
( ~ ndr1_0
| ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) )
| ! [X100] :
( ~ ndr1_0
| ~ c0_1(X100)
| c3_1(X100)
| c2_1(X100) ) )
& ( hskp5
| hskp25
| ! [X99] :
( ~ ndr1_0
| ~ c3_1(X99)
| ~ c2_1(X99)
| c1_1(X99) ) )
& ( hskp7
| ! [X98] :
( ~ ndr1_0
| ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) )
| ! [X97] :
( ~ ndr1_0
| ~ c3_1(X97)
| ~ c2_1(X97)
| c1_1(X97) ) )
& ( hskp3
| hskp12
| ! [X96] :
( ~ ndr1_0
| ~ c3_1(X96)
| ~ c0_1(X96)
| c1_1(X96) ) )
& ( hskp5
| hskp10
| ! [X95] :
( ~ ndr1_0
| ~ c3_1(X95)
| ~ c0_1(X95)
| c1_1(X95) ) )
& ( hskp17
| hskp9
| ! [X94] :
( ~ ndr1_0
| ~ c2_1(X94)
| c3_1(X94)
| c1_1(X94) ) )
& ( hskp5
| ! [X93] :
( ~ ndr1_0
| ~ c2_1(X93)
| ~ c0_1(X93)
| c3_1(X93) )
| ! [X92] :
( ~ ndr1_0
| ~ c2_1(X92)
| c3_1(X92)
| c1_1(X92) ) )
& ( hskp25
| ! [X91] :
( ~ ndr1_0
| ~ c3_1(X91)
| ~ c0_1(X91)
| c1_1(X91) )
| ! [X90] :
( ~ ndr1_0
| ~ c2_1(X90)
| c3_1(X90)
| c1_1(X90) ) )
& ( hskp29
| ! [X89] :
( ~ ndr1_0
| ~ c0_1(X89)
| c3_1(X89)
| c1_1(X89) ) )
& ( ! [X88] :
( ~ ndr1_0
| ~ c3_1(X88)
| ~ c0_1(X88)
| c2_1(X88) )
| ! [X87] :
( ~ ndr1_0
| ~ c3_1(X87)
| ~ c0_1(X87)
| c1_1(X87) )
| ! [X86] :
( ~ ndr1_0
| ~ c0_1(X86)
| c3_1(X86)
| c1_1(X86) ) )
& ( hskp11
| ! [X85] :
( ~ ndr1_0
| ~ c2_1(X85)
| ~ c1_1(X85)
| c3_1(X85) )
| ! [X84] :
( ~ ndr1_0
| ~ c3_1(X84)
| c2_1(X84)
| c1_1(X84) ) )
& ( hskp29
| ! [X83] :
( ~ ndr1_0
| ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) )
| ! [X82] :
( ~ ndr1_0
| ~ c3_1(X82)
| c2_1(X82)
| c1_1(X82) ) )
& ( hskp10
| ! [X81] :
( ~ ndr1_0
| ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) )
| ! [X80] :
( ~ ndr1_0
| ~ c3_1(X80)
| c2_1(X80)
| c1_1(X80) ) )
& ( ! [X79] :
( ~ ndr1_0
| ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) )
| ! [X78] :
( ~ ndr1_0
| ~ c1_1(X78)
| c3_1(X78)
| c2_1(X78) )
| ! [X77] :
( ~ ndr1_0
| ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) )
& ( hskp11
| hskp16
| ! [X76] :
( ~ ndr1_0
| ~ c0_1(X76)
| c2_1(X76)
| c1_1(X76) ) )
& ( hskp18
| ! [X75] :
( ~ ndr1_0
| ~ c3_1(X75)
| c2_1(X75)
| c1_1(X75) )
| ! [X74] :
( ~ ndr1_0
| ~ c0_1(X74)
| c2_1(X74)
| c1_1(X74) ) )
& ( hskp4
| ! [X73] :
( ~ ndr1_0
| ~ c2_1(X73)
| ~ c1_1(X73)
| ~ c0_1(X73) )
| ! [X72] :
( ~ ndr1_0
| c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) )
& ( hskp20
| ! [X71] :
( ~ ndr1_0
| ~ c2_1(X71)
| c3_1(X71)
| c1_1(X71) )
| ! [X70] :
( ~ ndr1_0
| c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) )
& ( ! [X69] :
( ~ ndr1_0
| ~ c3_1(X69)
| ~ c0_1(X69)
| c1_1(X69) )
| ! [X68] :
( ~ ndr1_0
| ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) )
| ! [X67] :
( ~ ndr1_0
| c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) )
& ( hskp24
| hskp11
| ! [X66] :
( ~ ndr1_0
| ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) )
& ( hskp24
| hskp23
| ! [X65] :
( ~ ndr1_0
| ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) )
& ( hskp17
| hskp19
| ! [X64] :
( ~ ndr1_0
| ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) )
& ( hskp31
| ! [X63] :
( ~ ndr1_0
| ~ c1_1(X63)
| ~ c0_1(X63)
| c2_1(X63) )
| ! [X62] :
( ~ ndr1_0
| ~ c3_1(X62)
| ~ c2_1(X62)
| c0_1(X62) ) )
& ( hskp18
| hskp22
| ! [X61] :
( ~ ndr1_0
| ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) )
& ( hskp11
| ! [X60] :
( ~ ndr1_0
| ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) )
| ! [X59] :
( ~ ndr1_0
| ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) )
& ( hskp21
| ! [X58] :
( ~ ndr1_0
| c3_1(X58)
| c2_1(X58)
| c1_1(X58) )
| ! [X57] :
( ~ ndr1_0
| ~ c3_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) )
& ( hskp13
| hskp8
| ! [X56] :
( ~ ndr1_0
| ~ c2_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) )
& ( hskp20
| ! [X55] :
( ~ ndr1_0
| ~ c2_1(X55)
| ~ c0_1(X55)
| c3_1(X55) )
| ! [X54] :
( ~ ndr1_0
| ~ c2_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) )
& ( hskp16
| hskp19
| ! [X53] :
( ~ ndr1_0
| ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) )
& ( hskp4
| hskp28
| ! [X52] :
( ~ ndr1_0
| ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) )
& ( hskp9
| hskp18
| ! [X51] :
( ~ ndr1_0
| ~ c1_1(X51)
| c3_1(X51)
| c0_1(X51) ) )
& ( hskp10
| ! [X50] :
( ~ ndr1_0
| ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) )
| ! [X49] :
( ~ ndr1_0
| ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) )
& ( hskp17
| hskp29
| ! [X48] :
( ~ ndr1_0
| ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) )
& ( hskp14
| hskp31
| ! [X47] :
( ~ ndr1_0
| ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) )
& ( hskp16
| ! [X46] :
( ~ ndr1_0
| ~ c2_1(X46)
| ~ c1_1(X46)
| c3_1(X46) )
| ! [X45] :
( ~ ndr1_0
| ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) )
& ( hskp15
| ! [X44] :
( ~ ndr1_0
| ~ c3_1(X44)
| ~ c0_1(X44)
| c1_1(X44) )
| ! [X43] :
( ~ ndr1_0
| ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) )
& ( hskp14
| ! [X42] :
( ~ ndr1_0
| ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) )
| ! [X41] :
( ~ ndr1_0
| ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) )
& ( ! [X40] :
( ~ ndr1_0
| ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40) )
| ! [X39] :
( ~ ndr1_0
| ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) )
| ! [X38] :
( ~ ndr1_0
| ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) )
& ( hskp9
| hskp30
| ! [X37] :
( ~ ndr1_0
| c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) )
& ( hskp11
| ! [X36] :
( ~ ndr1_0
| ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) )
| ! [X35] :
( ~ ndr1_0
| c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) )
& ( ! [X34] :
( ~ ndr1_0
| ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) )
| ! [X33] :
( ~ ndr1_0
| ~ c3_1(X33)
| c2_1(X33)
| c0_1(X33) )
| ! [X32] :
( ~ ndr1_0
| c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ~ ndr1_0
| ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) )
& ( hskp11
| hskp7
| ! [X30] :
( ~ ndr1_0
| ~ c2_1(X30)
| c1_1(X30)
| c0_1(X30) ) )
& ( hskp10
| ! [X29] :
( ~ ndr1_0
| ~ c2_1(X29)
| c1_1(X29)
| c0_1(X29) ) )
& ( hskp9
| hskp31
| ! [X28] :
( ~ ndr1_0
| ~ c2_1(X28)
| c1_1(X28)
| c0_1(X28) ) )
& ( hskp31
| ! [X27] :
( ~ ndr1_0
| ~ c2_1(X27)
| c1_1(X27)
| c0_1(X27) ) )
& ( hskp8
| ! [X26] :
( ~ ndr1_0
| ~ c2_1(X26)
| ~ c0_1(X26)
| c3_1(X26) )
| ! [X25] :
( ~ ndr1_0
| ~ c2_1(X25)
| c1_1(X25)
| c0_1(X25) ) )
& ( hskp7
| ! [X24] :
( ~ ndr1_0
| ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) )
| ! [X23] :
( ~ ndr1_0
| c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) )
& ( hskp30
| ! [X22] :
( ~ ndr1_0
| ~ c0_1(X22)
| c3_1(X22)
| c1_1(X22) )
| ! [X21] :
( ~ ndr1_0
| c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) )
& ( hskp6
| ! [X20] :
( ~ ndr1_0
| c3_1(X20)
| c2_1(X20)
| c1_1(X20) )
| ! [X19] :
( ~ ndr1_0
| c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) )
& ( hskp5
| hskp29
| ! [X18] :
( ~ ndr1_0
| c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) )
& ( hskp4
| ! [X17] :
( ~ ndr1_0
| ~ c3_1(X17)
| ~ c2_1(X17)
| ~ c1_1(X17) )
| ! [X16] :
( ~ ndr1_0
| c2_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
& ( hskp3
| ! [X15] :
( ~ ndr1_0
| ~ c3_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) )
| ! [X14] :
( ~ ndr1_0
| c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) )
& ( hskp28
| ! [X13] :
( ~ ndr1_0
| ~ c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) )
| ! [X12] :
( ~ ndr1_0
| c2_1(X12)
| c1_1(X12)
| c0_1(X12) ) )
& ( hskp2
| ! [X11] :
( ~ ndr1_0
| ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) )
| ! [X10] :
( ~ ndr1_0
| c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) )
& ( ! [X9] :
( ~ ndr1_0
| ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) )
| ! [X8] :
( ~ ndr1_0
| ~ c3_1(X8)
| ~ c1_1(X8)
| c0_1(X8) )
| ! [X7] :
( ~ ndr1_0
| c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) )
& ( ! [X6] :
( ~ ndr1_0
| ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) )
| ! [X5] :
( ~ ndr1_0
| ~ c1_1(X5)
| c3_1(X5)
| c0_1(X5) )
| ! [X4] :
( ~ ndr1_0
| c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) )
& ( hskp1
| ! [X3] :
( ~ ndr1_0
| ~ c3_1(X3)
| c2_1(X3)
| c0_1(X3) )
| ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
& ( hskp0
| ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ! [X0] :
( ~ ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) )
& ( ( c3_1(a246)
& c2_1(a246)
& c0_1(a246)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a243)
& c1_1(a243)
& c0_1(a243)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a240)
& c2_1(a240)
& c1_1(a240)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a237)
& c1_1(a237)
& c0_1(a237)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a322)
& ~ c2_1(a322)
& ~ c1_1(a322)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a314)
& ~ c0_1(a314)
& c2_1(a314)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a294)
& c2_1(a294)
& c1_1(a294)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a282)
& ~ c0_1(a282)
& c3_1(a282)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a281)
& c3_1(a281)
& c1_1(a281)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a276)
& c1_1(a276)
& c0_1(a276)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a274)
& c2_1(a274)
& c0_1(a274)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a271)
& c1_1(a271)
& c0_1(a271)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a269)
& c3_1(a269)
& c0_1(a269)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c0_1(a265)
& c2_1(a265)
& c1_1(a265)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a263)
& ~ c1_1(a263)
& ~ c0_1(a263)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a259)
& ~ c2_1(a259)
& c1_1(a259)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a258)
& ~ c2_1(a258)
& ~ c0_1(a258)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a257)
& c3_1(a257)
& c2_1(a257)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a253)
& ~ c0_1(a253)
& c1_1(a253)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a252)
& ~ c1_1(a252)
& c0_1(a252)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a251)
& ~ c1_1(a251)
& c2_1(a251)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a249)
& c3_1(a249)
& c0_1(a249)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a248)
& ~ c0_1(a248)
& c3_1(a248)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a245)
& c2_1(a245)
& c0_1(a245)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a244)
& ~ c1_1(a244)
& c0_1(a244)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a242)
& ~ c0_1(a242)
& c2_1(a242)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a241)
& c3_1(a241)
& c2_1(a241)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a239)
& ~ c1_1(a239)
& c3_1(a239)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a238)
& ~ c2_1(a238)
& c0_1(a238)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a236)
& c3_1(a236)
& c1_1(a236)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a235)
& ~ c1_1(a235)
& ~ c0_1(a235)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a234)
& ~ c0_1(a234)
& c1_1(a234)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( hskp9
| hskp11
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
( hskp24
| hskp13
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
( hskp5
| hskp18
| hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X96] :
( hskp3
| hskp12
| ~ ndr1_0
| ~ c3_1(X96)
| ~ c0_1(X96)
| c1_1(X96) ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X95] :
( hskp5
| hskp10
| ~ ndr1_0
| ~ c3_1(X95)
| ~ c0_1(X95)
| c1_1(X95) ),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X94] :
( hskp17
| hskp9
| ~ ndr1_0
| ~ c2_1(X94)
| c3_1(X94)
| c1_1(X94) ),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X64] :
( hskp17
| hskp19
| ~ ndr1_0
| ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ),
inference(cnf_transformation,[],[f5]) ).
fof(f70,plain,
! [X29] :
( hskp10
| ~ ndr1_0
| ~ c2_1(X29)
| c1_1(X29)
| c0_1(X29) ),
inference(cnf_transformation,[],[f5]) ).
fof(f77,plain,
! [X18] :
( hskp5
| hskp29
| ~ ndr1_0
| c2_1(X18)
| c1_1(X18)
| c0_1(X18) ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( c3_1(a246)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( c0_1(a246)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
( ndr1_0
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( c3_1(a240)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( c2_1(a240)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( c1_1(a240)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( ~ c3_1(a294)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( c2_1(a294)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( c1_1(a294)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f117,plain,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( ~ c3_1(a276)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( c1_1(a276)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
( ~ c2_1(a271)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
( c1_1(a271)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( c0_1(a271)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ c1_1(a269)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( c3_1(a269)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( c0_1(a269)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
( ~ c0_1(a265)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
( c2_1(a265)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
( c1_1(a265)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
( ~ c3_1(a263)
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
( ~ c1_1(a263)
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
( ~ c0_1(a263)
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ c3_1(a252)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ c1_1(a252)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( c0_1(a252)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ c3_1(a251)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ c1_1(a251)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( c2_1(a251)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( ~ c2_1(a249)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( c3_1(a249)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( c0_1(a249)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
( ~ c1_1(a248)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( ~ c0_1(a248)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f176,plain,
( c3_1(a248)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ c2_1(a244)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( ~ c1_1(a244)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( c0_1(a244)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
( ~ c0_1(a241)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( c3_1(a241)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( c2_1(a241)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
( ~ c2_1(a239)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
( ~ c1_1(a239)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
( c3_1(a239)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
( ~ c3_1(a238)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
( ~ c2_1(a238)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
( c0_1(a238)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,negated_conjecture,
( c0_1(a238)
| ~ hskp3 ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_63,negated_conjecture,
( ~ hskp3
| ~ c2_1(a238) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_64,negated_conjecture,
( ~ hskp3
| ~ c3_1(a238) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_66,negated_conjecture,
( c3_1(a239)
| ~ hskp4 ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_67,negated_conjecture,
( ~ hskp4
| ~ c1_1(a239) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_68,negated_conjecture,
( ~ hskp4
| ~ c2_1(a239) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_70,negated_conjecture,
( c2_1(a241)
| ~ hskp5 ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_71,negated_conjecture,
( c3_1(a241)
| ~ hskp5 ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_72,negated_conjecture,
( ~ hskp5
| ~ c0_1(a241) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_78,negated_conjecture,
( c0_1(a244)
| ~ hskp7 ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_79,negated_conjecture,
( ~ hskp7
| ~ c1_1(a244) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_80,negated_conjecture,
( ~ hskp7
| ~ c2_1(a244) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_81,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_86,negated_conjecture,
( c3_1(a248)
| ~ hskp9 ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_87,negated_conjecture,
( ~ hskp9
| ~ c0_1(a248) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_88,negated_conjecture,
( ~ hskp9
| ~ c1_1(a248) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_90,negated_conjecture,
( c0_1(a249)
| ~ hskp10 ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_91,negated_conjecture,
( c3_1(a249)
| ~ hskp10 ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_92,negated_conjecture,
( ~ hskp10
| ~ c2_1(a249) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_94,negated_conjecture,
( c2_1(a251)
| ~ hskp11 ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_95,negated_conjecture,
( ~ hskp11
| ~ c1_1(a251) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_96,negated_conjecture,
( ~ hskp11
| ~ c3_1(a251) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_98,negated_conjecture,
( c0_1(a252)
| ~ hskp12 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_99,negated_conjecture,
( ~ hskp12
| ~ c1_1(a252) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_100,negated_conjecture,
( ~ hskp12
| ~ c3_1(a252) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_101,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_118,negated_conjecture,
( ~ hskp17
| ~ c0_1(a263) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_119,negated_conjecture,
( ~ hskp17
| ~ c1_1(a263) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_120,negated_conjecture,
( ~ hskp17
| ~ c3_1(a263) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_122,negated_conjecture,
( c1_1(a265)
| ~ hskp18 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_123,negated_conjecture,
( c2_1(a265)
| ~ hskp18 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_124,negated_conjecture,
( ~ hskp18
| ~ c0_1(a265) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_126,negated_conjecture,
( c0_1(a269)
| ~ hskp19 ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_127,negated_conjecture,
( c3_1(a269)
| ~ hskp19 ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_128,negated_conjecture,
( ~ hskp19
| ~ c1_1(a269) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_130,negated_conjecture,
( c0_1(a271)
| ~ hskp20 ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_131,negated_conjecture,
( c1_1(a271)
| ~ hskp20 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_132,negated_conjecture,
( ~ hskp20
| ~ c2_1(a271) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_139,negated_conjecture,
( c1_1(a276)
| ~ hskp22 ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_140,negated_conjecture,
( ~ hskp22
| ~ c3_1(a276) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_145,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_150,negated_conjecture,
( c1_1(a294)
| ~ hskp25 ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_151,negated_conjecture,
( c2_1(a294)
| ~ hskp25 ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_152,negated_conjecture,
( ~ hskp25
| ~ c3_1(a294) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_166,negated_conjecture,
( c1_1(a240)
| ~ hskp29 ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_167,negated_conjecture,
( c2_1(a240)
| ~ hskp29 ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_168,negated_conjecture,
( c3_1(a240)
| ~ hskp29 ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_173,negated_conjecture,
( ndr1_0
| ~ hskp31 ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_174,negated_conjecture,
( c0_1(a246)
| ~ hskp31 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_176,negated_conjecture,
( c3_1(a246)
| ~ hskp31 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_179,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_180,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_183,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_185,negated_conjecture,
! [X0: $i] :
( hskp29
| hskp5
| c2_1(X0)
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_188,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_192,negated_conjecture,
! [X0: $i] :
( hskp10
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_198,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_211,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_213,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_214,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp17
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_217,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_220,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_222,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_223,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_225,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_226,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_228,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_229,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_230,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp9
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_231,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp5
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_232,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp3
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_233,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_235,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_248,negated_conjecture,
( hskp22
| hskp18
| hskp5 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_252,negated_conjecture,
( hskp24
| hskp13
| hskp8 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_256,negated_conjecture,
( hskp11
| hskp9
| hskp5 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_297,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_173,c_252,c_145,c_101,c_81]) ).
tcf(c_367,negated_conjecture,
! [X0: $i] :
( hskp10
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_192,c_252,c_145,c_101,c_81,c_192]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( hskp29
| hskp5
| c2_1(X0)
| c0_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_185,c_252,c_145,c_101,c_81,c_185]) ).
tcf(c_388,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp9
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_230,c_252,c_145,c_101,c_81,c_230]) ).
tcf(c_429,plain,
! [X0: $i] :
( hskp12
| hskp3
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_252,c_145,c_101,c_81,c_232]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp3
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_429]) ).
tcf(c_432,plain,
! [X0: $i] :
( hskp10
| hskp5
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_231,c_252,c_145,c_101,c_81,c_231]) ).
tcf(c_433,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp5
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_432]) ).
tcf(c_441,plain,
! [X0: $i] :
( hskp19
| hskp17
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_214,c_252,c_145,c_101,c_81,c_214]) ).
tcf(c_442,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp17
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_441]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_223,c_252,c_145,c_101,c_81,c_223]) ).
tcf(c_469,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_468]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i] :
( hskp18
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_220,c_252,c_145,c_101,c_81,c_220]) ).
tcf(c_471,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_470]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_188,c_252,c_145,c_101,c_81,c_188]) ).
tcf(c_479,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_478]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_229,c_252,c_145,c_101,c_81,c_229]) ).
tcf(c_485,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_484]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_228,c_252,c_145,c_101,c_81,c_228]) ).
tcf(c_488,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_487]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_225,c_252,c_145,c_101,c_81,c_225]) ).
tcf(c_490,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_489]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_252,c_145,c_101,c_81,c_184]) ).
tcf(c_504,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_503]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_252,c_145,c_101,c_81,c_183]) ).
tcf(c_506,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_505]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_233,c_252,c_145,c_101,c_81,c_233]) ).
tcf(c_510,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_509]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( hskp31
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_213,c_252,c_145,c_101,c_81,c_213]) ).
tcf(c_512,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_511]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_208,c_252,c_145,c_101,c_81,c_208]) ).
tcf(c_514,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_513]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i] :
( hskp11
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_211,c_252,c_145,c_101,c_81,c_211]) ).
tcf(c_519,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_518]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_217,c_252,c_145,c_101,c_81,c_217]) ).
tcf(c_524,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_523]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_252,c_145,c_101,c_81,c_179]) ).
tcf(c_528,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_527]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_222,c_252,c_145,c_101,c_81,c_222]) ).
tcf(c_530,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_529]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_198,c_252,c_145,c_101,c_81,c_198]) ).
tcf(c_532,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_531]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_226,c_226,c_297]) ).
tcf(c_534,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_533]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_252,c_145,c_101,c_81,c_180]) ).
tcf(c_536,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_535]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_235,c_252,c_145,c_101,c_81,c_235]) ).
tcf(c_538,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_537]) ).
tcf(c_1740,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_528,c_532]) ).
tcf(c_3989,plain,
( hskp18
| hskp5
| ~ c3_1(a276) ),
inference(resolution,[status(thm)],[c_248,c_140]) ).
tcf(c_3999,plain,
( hskp18
| hskp5
| c1_1(a276) ),
inference(resolution,[status(thm)],[c_248,c_139]) ).
tcf(c_4700,plain,
( hskp11
| hskp5
| ~ c1_1(a248) ),
inference(resolution,[status(thm)],[c_256,c_88]) ).
tcf(c_4710,plain,
( hskp11
| hskp5
| ~ c0_1(a248) ),
inference(resolution,[status(thm)],[c_256,c_87]) ).
tcf(c_4720,plain,
( hskp11
| hskp5
| c3_1(a248) ),
inference(resolution,[status(thm)],[c_256,c_86]) ).
tcf(c_17777,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1740]) ).
tcf(c_17781,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_538]) ).
tcf(c_17782,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_538]) ).
tcf(c_17783,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).
tcf(c_17784,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c1_1(X0)
| c0_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_536]) ).
tcf(c_17785,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_536]) ).
tcf(c_17786,negated_conjecture,
( iPr_def_16
| iPr_def_15
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).
tcf(c_17787,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_534]) ).
tcf(c_17788,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_534]) ).
tcf(c_17789,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_534]) ).
tcf(c_17790,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).
tcf(c_17791,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_530]) ).
tcf(c_17792,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_530]) ).
tcf(c_17793,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_530]) ).
tcf(c_17794,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).
tcf(c_17799,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_524]) ).
tcf(c_17801,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_519]) ).
tcf(c_17802,negated_conjecture,
( iPr_def_27
| iPr_def_16
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).
tcf(c_17804,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_514]) ).
tcf(c_17805,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_514]) ).
tcf(c_17806,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).
tcf(c_17807,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_512]) ).
tcf(c_17808,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_512]) ).
tcf(c_17809,negated_conjecture,
( iPr_def_31
| iPr_def_30
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_512]) ).
tcf(c_17810,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_510]) ).
tcf(c_17811,negated_conjecture,
( iPr_def_32
| iPr_def_31
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).
tcf(c_17813,negated_conjecture,
( iPr_def_15
| iPr_def_13
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).
tcf(c_17814,negated_conjecture,
( iPr_def_27
| iPr_def_15
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).
tcf(c_17824,negated_conjecture,
( iPr_def_21
| iPr_def_20
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).
tcf(c_17825,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_488]) ).
tcf(c_17826,negated_conjecture,
( iPr_def_36
| iPr_def_17
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).
tcf(c_17827,negated_conjecture,
( iPr_def_36
| iPr_def_28
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).
tcf(c_17830,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_479]) ).
tcf(c_17831,negated_conjecture,
( iPr_def_37
| iPr_def_31
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).
tcf(c_17834,negated_conjecture,
( iPr_def_26
| iPr_def_20
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).
tcf(c_17835,negated_conjecture,
( iPr_def_22
| iPr_def_20
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).
tcf(c_17845,negated_conjecture,
( iPr_def_30
| hskp19
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).
tcf(c_17848,negated_conjecture,
( iPr_def_17
| hskp10
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).
tcf(c_17849,negated_conjecture,
( iPr_def_17
| hskp12
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).
tcf(c_17864,negated_conjecture,
( iPr_def_36
| hskp17
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_388]) ).
tcf(c_17869,negated_conjecture,
( iPr_def_15
| hskp29
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_373]) ).
tcf(c_17904,plain,
( ~ iPr_def_13
| ~ c3_1(a249)
| ~ c0_1(a249)
| ~ c1_1(a249) ),
inference(instantiation,[status(thm)],[c_17781]) ).
tcf(c_17909,plain,
( ~ iPr_def_13
| ~ c3_1(a246)
| ~ c0_1(a246)
| ~ c1_1(a246) ),
inference(instantiation,[status(thm)],[c_17781]) ).
tcf(c_17910,plain,
( c1_1(a244)
| ~ iPr_def_17
| ~ c3_1(a244)
| ~ c0_1(a244) ),
inference(instantiation,[status(thm)],[c_17787]) ).
tcf(c_17912,plain,
( c1_1(a249)
| ~ iPr_def_17
| ~ c3_1(a249)
| ~ c0_1(a249) ),
inference(instantiation,[status(thm)],[c_17787]) ).
tcf(c_17917,plain,
( c1_1(a246)
| ~ iPr_def_17
| ~ c3_1(a246)
| ~ c0_1(a246) ),
inference(instantiation,[status(thm)],[c_17787]) ).
tcf(c_17920,plain,
( c2_1(a249)
| ~ iPr_def_18
| ~ c3_1(a249)
| ~ c0_1(a249) ),
inference(instantiation,[status(thm)],[c_17788]) ).
tcf(c_17921,plain,
( c2_1(a271)
| ~ iPr_def_18
| ~ c3_1(a271)
| ~ c0_1(a271) ),
inference(instantiation,[status(thm)],[c_17788]) ).
tcf(c_17927,plain,
( c2_1(a239)
| c1_1(a239)
| ~ iPr_def_20
| ~ c3_1(a239) ),
inference(instantiation,[status(thm)],[c_17791]) ).
tcf(c_17929,plain,
( c2_1(a249)
| c1_1(a249)
| ~ iPr_def_20
| ~ c3_1(a249) ),
inference(instantiation,[status(thm)],[c_17791]) ).
tcf(c_17947,plain,
( c2_1(a249)
| ~ iPr_def_10
| ~ c3_1(a249)
| ~ c1_1(a249) ),
inference(instantiation,[status(thm)],[c_17777]) ).
tcf(c_17968,plain,
( c3_1(a271)
| c2_1(a271)
| ~ iPr_def_22
| ~ c1_1(a271) ),
inference(instantiation,[status(thm)],[c_17793]) ).
tcf(c_17970,plain,
( c3_1(a252)
| c1_1(a252)
| ~ iPr_def_19
| ~ c0_1(a252) ),
inference(instantiation,[status(thm)],[c_17789]) ).
tcf(c_17992,plain,
( hskp10
| c0_1(a241)
| c1_1(a241)
| ~ c2_1(a241) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_17996,plain,
( hskp10
| c0_1(a251)
| c1_1(a251)
| ~ c2_1(a251) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_18028,plain,
( c3_1(a251)
| c0_1(a251)
| c1_1(a251)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17830]) ).
tcf(c_18031,plain,
( c3_1(a263)
| c0_1(a263)
| c1_1(a263)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17830]) ).
tcf(c_18045,plain,
( c3_1(a265)
| ~ iPr_def_21
| ~ c2_1(a265)
| ~ c1_1(a265) ),
inference(instantiation,[status(thm)],[c_17792]) ).
tcf(c_18047,plain,
( c3_1(a294)
| ~ iPr_def_21
| ~ c2_1(a294)
| ~ c1_1(a294) ),
inference(instantiation,[status(thm)],[c_17792]) ).
tcf(c_18066,plain,
( ~ iPr_def_27
| ~ c3_1(a241)
| ~ c2_1(a241)
| ~ c1_1(a241) ),
inference(instantiation,[status(thm)],[c_17801]) ).
tcf(c_18071,plain,
( ~ iPr_def_27
| ~ c3_1(a265)
| ~ c2_1(a265)
| ~ c1_1(a265) ),
inference(instantiation,[status(thm)],[c_17801]) ).
tcf(c_18075,plain,
( ~ iPr_def_27
| ~ c3_1(a240)
| ~ c2_1(a240)
| ~ c1_1(a240) ),
inference(instantiation,[status(thm)],[c_17801]) ).
tcf(c_18118,plain,
( c3_1(a276)
| c2_1(a276)
| ~ iPr_def_22
| ~ c1_1(a276) ),
inference(instantiation,[status(thm)],[c_17793]) ).
tcf(c_18121,plain,
( c2_1(a249)
| ~ iPr_def_31
| ~ c0_1(a249)
| ~ c1_1(a249) ),
inference(instantiation,[status(thm)],[c_17808]) ).
tcf(c_18123,plain,
( c2_1(a271)
| ~ iPr_def_31
| ~ c0_1(a271)
| ~ c1_1(a271) ),
inference(instantiation,[status(thm)],[c_17808]) ).
tcf(c_18140,plain,
( c3_1(a251)
| ~ iPr_def_28
| ~ c2_1(a251)
| ~ c0_1(a251) ),
inference(instantiation,[status(thm)],[c_17804]) ).
tcf(c_18141,plain,
( c3_1(a251)
| c1_1(a251)
| ~ iPr_def_19
| ~ c0_1(a251) ),
inference(instantiation,[status(thm)],[c_17789]) ).
tcf(c_18143,plain,
( c1_1(a251)
| ~ iPr_def_17
| ~ c3_1(a251)
| ~ c0_1(a251) ),
inference(instantiation,[status(thm)],[c_17787]) ).
tcf(c_18153,plain,
( c0_1(a241)
| ~ iPr_def_30
| ~ c3_1(a241)
| ~ c2_1(a241) ),
inference(instantiation,[status(thm)],[c_17807]) ).
tcf(c_18183,plain,
( c2_1(a248)
| c0_1(a248)
| c1_1(a248)
| ~ iPr_def_15 ),
inference(instantiation,[status(thm)],[c_17784]) ).
tcf(c_18187,plain,
( c2_1(a263)
| c0_1(a263)
| c1_1(a263)
| ~ iPr_def_15 ),
inference(instantiation,[status(thm)],[c_17784]) ).
tcf(c_18195,plain,
( c3_1(a244)
| c2_1(a244)
| ~ iPr_def_14
| ~ c0_1(a244) ),
inference(instantiation,[status(thm)],[c_17782]) ).
tcf(c_18426,plain,
( c0_1(a241)
| ~ iPr_def_29
| ~ c2_1(a241)
| ~ c1_1(a241) ),
inference(instantiation,[status(thm)],[c_17805]) ).
tcf(c_18536,plain,
( c1_1(a248)
| ~ iPr_def_32
| ~ c3_1(a248)
| ~ c2_1(a248) ),
inference(instantiation,[status(thm)],[c_17810]) ).
tcf(c_18558,plain,
( hskp10
| c0_1(a248)
| c1_1(a248)
| ~ c2_1(a248) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_18559,plain,
( hskp10
| c0_1(a263)
| c1_1(a263)
| ~ c2_1(a263) ),
inference(instantiation,[status(thm)],[c_367]) ).
tcf(c_18601,plain,
( c3_1(a276)
| ~ iPr_def_21
| ~ c2_1(a276)
| ~ c1_1(a276) ),
inference(instantiation,[status(thm)],[c_17792]) ).
tcf(c_18635,plain,
( c3_1(a251)
| c1_1(a251)
| ~ iPr_def_36
| ~ c2_1(a251) ),
inference(instantiation,[status(thm)],[c_17825]) ).
tcf(c_18679,plain,
( c2_1(a249)
| c1_1(a249)
| ~ iPr_def_26
| ~ c0_1(a249) ),
inference(instantiation,[status(thm)],[c_17799]) ).
tcf(c_18733,plain,
( c3_1(a238)
| c2_1(a238)
| ~ iPr_def_22
| ~ c1_1(a238) ),
inference(instantiation,[status(thm)],[c_17793]) ).
tcf(c_18744,plain,
( c0_1(a241)
| ~ iPr_def_16
| ~ c3_1(a241)
| ~ c1_1(a241) ),
inference(instantiation,[status(thm)],[c_17785]) ).
tcf(c_18747,plain,
( c0_1(a265)
| ~ iPr_def_16
| ~ c3_1(a265)
| ~ c1_1(a265) ),
inference(instantiation,[status(thm)],[c_17785]) ).
tcf(c_18766,plain,
( c1_1(a269)
| ~ iPr_def_17
| ~ c3_1(a269)
| ~ c0_1(a269) ),
inference(instantiation,[status(thm)],[c_17787]) ).
tcf(c_18805,plain,
( c3_1(a238)
| c2_1(a238)
| ~ iPr_def_14
| ~ c0_1(a238) ),
inference(instantiation,[status(thm)],[c_17782]) ).
tcf(c_18841,plain,
( c3_1(a238)
| c1_1(a238)
| ~ iPr_def_19
| ~ c0_1(a238) ),
inference(instantiation,[status(thm)],[c_17789]) ).
tcf(c_18936,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18841,c_18805,c_18766,c_18747,c_18744,c_18733,c_18679,c_18635,c_18601,c_18559,c_18558,c_18536,c_18426,c_18195,c_18187,c_18183,c_18153,c_18140,c_18141,c_18143,c_18123,c_18121,c_18118,c_18075,c_18071,c_18066,c_18047,c_18045,c_18031,c_18028,c_17996,c_17992,c_17970,c_17968,c_17947,c_17929,c_17927,c_17921,c_17920,c_17917,c_17912,c_17910,c_17909,c_17904,c_17869,c_17864,c_17849,c_17848,c_17845,c_17835,c_17834,c_17831,c_17827,c_17826,c_17824,c_17814,c_17813,c_17811,c_17809,c_17806,c_17802,c_17794,c_17790,c_17786,c_17783,c_4720,c_4710,c_4700,c_3999,c_3989,c_63,c_64,c_67,c_68,c_72,c_79,c_80,c_87,c_88,c_92,c_95,c_96,c_99,c_100,c_118,c_119,c_120,c_124,c_128,c_132,c_152,c_62,c_66,c_70,c_71,c_78,c_90,c_91,c_94,c_98,c_122,c_123,c_126,c_127,c_130,c_131,c_150,c_151,c_166,c_167,c_168,c_174,c_176,c_256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN502+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:34:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 4.43/1.28 % SZS status Started for theBenchmark.p
% 4.43/1.28 % SZS status Theorem for theBenchmark.p
% 4.43/1.28
% 4.43/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.43/1.28
% 4.43/1.28 % ------ iProver source info
% 4.43/1.28
% 4.43/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.43/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.43/1.28 % git: non_committed_changes: false
% 4.43/1.28
% 4.43/1.28 % ------ Parsing...
% 4.43/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.43/1.28 %
% 4.43/1.28
% 4.43/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.43/1.28
% 4.43/1.28 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.43/1.28 gs_s sp: 107 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.43/1.28 % ------ Proving...
% 4.43/1.28 % ------ Problem Properties
% 4.43/1.28
% 4.43/1.28 %
% 4.43/1.28 % clauses 204
% 4.43/1.28 % conjectures 200
% 4.43/1.28 % EPR 204
% 4.43/1.28 % Horn 111
% 4.43/1.28 % unary 0
% 4.43/1.28 % binary 96
% 4.43/1.28 % lits 549
% 4.43/1.28 % lits eq 0
% 4.43/1.28 % fd_pure 0
% 4.43/1.28 % fd_pseudo 0
% 4.43/1.28 % fd_cond 0
% 4.43/1.28 % fd_pseudo_cond 0
% 4.43/1.28 % AC symbols 0
% 4.43/1.28
% 4.43/1.28 % ------ Schedule EPR non Horn non eq is on
% 4.43/1.28
% 4.43/1.28 % ------ no equalities: superposition off
% 4.43/1.28
% 4.43/1.28 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.43/1.28
% 4.43/1.28
% 4.43/1.28 % ------
% 4.43/1.28 % Current options:
% 4.43/1.28 % ------
% 4.43/1.28
% 4.43/1.28
% 4.43/1.28 %
% 4.43/1.28
% 4.43/1.28 % ------ Proving...
% 4.43/1.28 %
% 4.43/1.28
% 4.43/1.28 % SZS status Theorem for theBenchmark.p
% 4.43/1.28
% 4.43/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.43/1.29
% 4.43/1.29
%------------------------------------------------------------------------------