TSTP Solution File: LCL660+1.010 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL660+1.010 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:28:39 EDT 2024
% Result : Theorem 1.18s 0.56s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 203
% Syntax : Number of formulae : 913 ( 3 unt; 0 def)
% Number of atoms : 6497 ( 0 equ)
% Maximal formula atoms : 423 ( 7 avg)
% Number of connectives : 9061 (3477 ~;4897 |; 486 &)
% ( 201 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 213 ( 211 usr; 183 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-1 aty)
% Number of variables : 1918 (1768 !; 150 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7108,plain,
$false,
inference(avatar_sat_refutation,[],[f1557,f1559,f1563,f1565,f1575,f1580,f1582,f1751,f1756,f1758,f1768,f1773,f1775,f1782,f1784,f1791,f1793,f1800,f1802,f1809,f1811,f1850,f1855,f1857,f1864,f1869,f1871,f1875,f1877,f1881,f1883,f1887,f1889,f1893,f1895,f2156,f2158,f2165,f2167,f2174,f2176,f2183,f2185,f2195,f2200,f2202,f2212,f2217,f2219,f2356,f2358,f2365,f2367,f2371,f2373,f2377,f2379,f2386,f2388,f2390,f2397,f2399,f2401,f2408,f2410,f2417,f2419,f2426,f2428,f2435,f2437,f2578,f2583,f2590,f2592,f2596,f2601,f2605,f2607,f2614,f2619,f2623,f2628,f2707,f2709,f2716,f2718,f2722,f2724,f2728,f2730,f2734,f2739,f2743,f2748,f2752,f2756,f2816,f2817,f2821,f2822,f2823,f2824,f3014,f3015,f3066,f3067,f3068,f3069,f3112,f3227,f3437,f3446,f3471,f3516,f3573,f3635,f3667,f3730,f3734,f3738,f3803,f3886,f3888,f3930,f4094,f4180,f4334,f4344,f4363,f4731,f4794,f4954,f4972,f4973,f5201,f5867,f5964,f6041,f6043,f6047,f6055,f6057,f6059,f6063,f6065,f6068,f6076,f6499,f6502,f6504,f6515,f6517,f6541,f6562,f6568,f6589,f6595,f6596,f6597,f6598,f6783,f6826,f6868,f7107]) ).
fof(f7107,plain,
( ~ spl435_22
| ~ spl435_222
| ~ spl435_266
| ~ spl435_268
| ~ spl435_391 ),
inference(avatar_contradiction_clause,[],[f7106]) ).
fof(f7106,plain,
( $false
| ~ spl435_22
| ~ spl435_222
| ~ spl435_266
| ~ spl435_268
| ~ spl435_391 ),
inference(subsumption_resolution,[],[f7105,f6932]) ).
fof(f6932,plain,
( ~ p2(sK3)
| ~ spl435_22 ),
inference(resolution,[],[f1553,f231]) ).
fof(f231,plain,
! [X92] :
( ~ sP34(X92)
| ~ p2(X92) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] :
( $true
& r1(X6,X7) )
& ~ p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] :
( $true
& r1(X5,X10) )
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] :
( $true
& r1(X13,X14) )
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] :
( $true
& r1(X12,X17) )
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] :
( $true
& r1(X20,X21) )
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] :
( $true
& r1(X19,X24) )
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] :
( $true
& r1(X27,X28) )
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] :
( $true
& r1(X26,X31) )
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] :
( $true
& r1(X35,X36) )
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] :
( $true
& r1(X40,X41) )
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] :
( $true
& r1(X46,X47) )
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] :
( $true
& r1(X51,X52) )
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] :
( $true
& r1(X57,X58) )
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] :
( $true
& r1(X62,X63) )
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] :
( $true
& r1(X68,X69) )
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] :
( $true
& r1(X73,X74) )
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] :
( $true
& r1(X80,X81) )
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] :
( $true
& r1(X87,X88) )
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) ) )
& r1(X0,X92) )
| ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ( ( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ! [X139] :
( ? [X140] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] :
( $true
& r1(X6,X7) )
& ~ p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] :
( $true
& r1(X5,X10) )
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] :
( $true
& r1(X13,X14) )
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] :
( $true
& r1(X12,X17) )
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] :
( $true
& r1(X20,X21) )
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] :
( $true
& r1(X19,X24) )
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] :
( $true
& r1(X27,X28) )
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] :
( $true
& r1(X26,X31) )
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] :
( $true
& r1(X35,X36) )
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] :
( $true
& r1(X40,X41) )
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] :
( $true
& r1(X46,X47) )
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] :
( $true
& r1(X51,X52) )
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] :
( $true
& r1(X57,X58) )
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] :
( $true
& r1(X62,X63) )
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] :
( $true
& r1(X68,X69) )
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] :
( $true
& r1(X73,X74) )
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] :
( $true
& r1(X80,X81) )
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] :
( $true
& r1(X87,X88) )
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) ) )
& r1(X0,X92) )
| ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ( ( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ! [X139] :
( ? [X140] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] :
( $false
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] :
( $false
| ~ r1(X40,X41) )
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] :
( $false
| ~ r1(X46,X47) )
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] :
( $false
| ~ r1(X51,X52) )
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] :
( $false
| ~ r1(X57,X58) )
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] :
( $false
| ~ r1(X62,X63) )
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] :
( $false
| ~ r1(X68,X69) )
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] :
( $false
| ~ r1(X73,X74) )
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] :
( $false
| ~ r1(X80,X81) )
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] :
( $false
| ~ r1(X87,X88) )
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ( ( ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) ) )
& ~ ! [X139] :
( ~ ! [X140] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ~ ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] :
( $false
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] :
( $false
| ~ r1(X40,X41) )
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] :
( $false
| ~ r1(X46,X47) )
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] :
( $false
| ~ r1(X51,X52) )
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] :
( $false
| ~ r1(X57,X58) )
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] :
( $false
| ~ r1(X62,X63) )
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] :
( $false
| ~ r1(X68,X69) )
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] :
( $false
| ~ r1(X73,X74) )
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] :
( $false
| ~ r1(X80,X81) )
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] :
( $false
| ~ r1(X87,X88) )
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ( ( ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) ) )
& ~ ! [X139] :
( ~ ! [X140] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ~ ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1553,plain,
( sP34(sK3)
| ~ spl435_22 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl435_22
<=> sP34(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_22])]) ).
fof(f7105,plain,
( p2(sK3)
| ~ spl435_22
| ~ spl435_222
| ~ spl435_266
| ~ spl435_268
| ~ spl435_391 ),
inference(subsumption_resolution,[],[f7104,f2425]) ).
fof(f2425,plain,
( r1(sK0,sK3)
| ~ spl435_222 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f2424,plain,
( spl435_222
<=> r1(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_222])]) ).
fof(f7104,plain,
( ~ r1(sK0,sK3)
| p2(sK3)
| ~ spl435_22
| ~ spl435_222
| ~ spl435_266
| ~ spl435_268
| ~ spl435_391 ),
inference(resolution,[],[f7000,f2627]) ).
fof(f2627,plain,
( ! [X145] :
( ~ p2(sK49(X145))
| ~ r1(sK0,X145)
| p2(X145) )
| ~ spl435_268 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f2626,plain,
( spl435_268
<=> ! [X145] :
( ~ r1(sK0,X145)
| ~ p2(sK49(X145))
| p2(X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_268])]) ).
fof(f7000,plain,
( p2(sK49(sK3))
| ~ spl435_22
| ~ spl435_222
| ~ spl435_266
| ~ spl435_391 ),
inference(subsumption_resolution,[],[f6999,f6932]) ).
fof(f6999,plain,
( p2(sK49(sK3))
| p2(sK3)
| ~ spl435_222
| ~ spl435_266
| ~ spl435_391 ),
inference(subsumption_resolution,[],[f6986,f2425]) ).
fof(f6986,plain,
( p2(sK49(sK3))
| ~ r1(sK0,sK3)
| p2(sK3)
| ~ spl435_266
| ~ spl435_391 ),
inference(resolution,[],[f3223,f2618]) ).
fof(f2618,plain,
( ! [X145] :
( r1(sK30(X145),sK49(X145))
| ~ r1(sK0,X145)
| p2(X145) )
| ~ spl435_266 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f2617,plain,
( spl435_266
<=> ! [X145] :
( ~ r1(sK0,X145)
| r1(sK30(X145),sK49(X145))
| p2(X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_266])]) ).
fof(f3223,plain,
( ! [X0] :
( ~ r1(sK30(sK3),X0)
| p2(X0) )
| ~ spl435_391 ),
inference(avatar_component_clause,[],[f3222]) ).
fof(f3222,plain,
( spl435_391
<=> ! [X0] :
( p2(X0)
| ~ r1(sK30(sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_391])]) ).
fof(f6868,plain,
( spl435_617
| ~ spl435_222
| ~ spl435_295
| spl435_392 ),
inference(avatar_split_clause,[],[f6867,f3225,f2746,f2424,f4742]) ).
fof(f4742,plain,
( spl435_617
<=> p2(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_617])]) ).
fof(f2746,plain,
( spl435_295
<=> ! [X145] :
( ~ r1(sK0,X145)
| p2(sK30(X145))
| p2(X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_295])]) ).
fof(f3225,plain,
( spl435_392
<=> p2(sK30(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_392])]) ).
fof(f6867,plain,
( p2(sK3)
| ~ spl435_222
| ~ spl435_295
| spl435_392 ),
inference(subsumption_resolution,[],[f6660,f2425]) ).
fof(f6660,plain,
( ~ r1(sK0,sK3)
| p2(sK3)
| ~ spl435_295
| spl435_392 ),
inference(resolution,[],[f2747,f3226]) ).
fof(f3226,plain,
( ~ p2(sK30(sK3))
| spl435_392 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f2747,plain,
( ! [X145] :
( p2(sK30(X145))
| ~ r1(sK0,X145)
| p2(X145) )
| ~ spl435_295 ),
inference(avatar_component_clause,[],[f2746]) ).
fof(f6826,plain,
( spl435_16
| ~ spl435_12
| spl435_378
| ~ spl435_27
| ~ spl435_293
| ~ spl435_295 ),
inference(avatar_split_clause,[],[f6825,f2746,f2737,f1573,f3153,f1511,f1526]) ).
fof(f1526,plain,
( spl435_16
<=> p2(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_16])]) ).
fof(f1511,plain,
( spl435_12
<=> r1(sK0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_12])]) ).
fof(f3153,plain,
( spl435_378
<=> ! [X0] :
( p2(X0)
| ~ r1(sK30(sK19),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_378])]) ).
fof(f1573,plain,
( spl435_27
<=> ! [X125,X126] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| p2(X126)
| ~ r1(X125,X126) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_27])]) ).
fof(f2737,plain,
( spl435_293
<=> ! [X145] :
( ~ r1(sK0,X145)
| r1(X145,sK30(X145))
| p2(X145) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_293])]) ).
fof(f6825,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK19),X0)
| ~ r1(sK0,sK19)
| p2(sK19) )
| ~ spl435_27
| ~ spl435_293
| ~ spl435_295 ),
inference(subsumption_resolution,[],[f6669,f2747]) ).
fof(f6669,plain,
( ! [X0] :
( ~ p2(sK30(sK19))
| p2(X0)
| ~ r1(sK30(sK19),X0)
| ~ r1(sK0,sK19)
| p2(sK19) )
| ~ spl435_27
| ~ spl435_293 ),
inference(resolution,[],[f1574,f2738]) ).
fof(f2738,plain,
( ! [X145] :
( r1(X145,sK30(X145))
| ~ r1(sK0,X145)
| p2(X145) )
| ~ spl435_293 ),
inference(avatar_component_clause,[],[f2737]) ).
fof(f1574,plain,
( ! [X126,X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| p2(X126)
| ~ r1(X125,X126) )
| ~ spl435_27 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f6783,plain,
( ~ spl435_12
| spl435_16
| ~ spl435_266
| ~ spl435_268
| ~ spl435_378 ),
inference(avatar_contradiction_clause,[],[f6782]) ).
fof(f6782,plain,
( $false
| ~ spl435_12
| spl435_16
| ~ spl435_266
| ~ spl435_268
| ~ spl435_378 ),
inference(subsumption_resolution,[],[f6781,f1527]) ).
fof(f1527,plain,
( ~ p2(sK19)
| spl435_16 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f6781,plain,
( p2(sK19)
| ~ spl435_12
| spl435_16
| ~ spl435_266
| ~ spl435_268
| ~ spl435_378 ),
inference(subsumption_resolution,[],[f6780,f1512]) ).
fof(f1512,plain,
( r1(sK0,sK19)
| ~ spl435_12 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f6780,plain,
( ~ r1(sK0,sK19)
| p2(sK19)
| ~ spl435_12
| spl435_16
| ~ spl435_266
| ~ spl435_268
| ~ spl435_378 ),
inference(resolution,[],[f6736,f2627]) ).
fof(f6736,plain,
( p2(sK49(sK19))
| ~ spl435_12
| spl435_16
| ~ spl435_266
| ~ spl435_378 ),
inference(subsumption_resolution,[],[f6735,f1527]) ).
fof(f6735,plain,
( p2(sK49(sK19))
| p2(sK19)
| ~ spl435_12
| ~ spl435_266
| ~ spl435_378 ),
inference(subsumption_resolution,[],[f6722,f1512]) ).
fof(f6722,plain,
( p2(sK49(sK19))
| ~ r1(sK0,sK19)
| p2(sK19)
| ~ spl435_266
| ~ spl435_378 ),
inference(resolution,[],[f3154,f2618]) ).
fof(f3154,plain,
( ! [X0] :
( ~ r1(sK30(sK19),X0)
| p2(X0) )
| ~ spl435_378 ),
inference(avatar_component_clause,[],[f3153]) ).
fof(f6598,plain,
( spl435_27
| ~ spl435_172 ),
inference(avatar_split_clause,[],[f5906,f2198,f1573]) ).
fof(f2198,plain,
( spl435_172
<=> ! [X125] :
( ~ r1(sK19,X125)
| ~ sP206(X125)
| ~ p2(X125) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_172])]) ).
fof(f5906,plain,
( ! [X0,X1] :
( ~ r1(sK19,X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl435_172 ),
inference(resolution,[],[f2199,f564]) ).
fof(f564,plain,
! [X126,X125] :
( sP206(X125)
| p2(X126)
| ~ r1(X125,X126) ),
inference(cnf_transformation,[],[f564_D]) ).
fof(f564_D,plain,
! [X125] :
( ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
<=> ~ sP206(X125) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP206])]) ).
fof(f2199,plain,
( ! [X125] :
( ~ sP206(X125)
| ~ r1(sK19,X125)
| ~ p2(X125) )
| ~ spl435_172 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f6597,plain,
( spl435_27
| ~ spl435_73 ),
inference(avatar_split_clause,[],[f6044,f1771,f1573]) ).
fof(f1771,plain,
( spl435_73
<=> ! [X125] :
( ~ r1(sK19,X125)
| ~ sP305(X125)
| ~ p2(X125) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_73])]) ).
fof(f6044,plain,
( ! [X0,X1] :
( ~ r1(sK19,X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl435_73 ),
inference(resolution,[],[f1772,f762]) ).
fof(f762,plain,
! [X126,X125] :
( sP305(X125)
| p2(X126)
| ~ r1(X125,X126) ),
inference(cnf_transformation,[],[f762_D]) ).
fof(f762_D,plain,
! [X125] :
( ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
<=> ~ sP305(X125) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP305])]) ).
fof(f1772,plain,
( ! [X125] :
( ~ sP305(X125)
| ~ r1(sK19,X125)
| ~ p2(X125) )
| ~ spl435_73 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f6596,plain,
( spl435_27
| ~ spl435_69 ),
inference(avatar_split_clause,[],[f6066,f1754,f1573]) ).
fof(f1754,plain,
( spl435_69
<=> ! [X125] :
( ~ r1(sK19,X125)
| ~ sP309(X125)
| ~ p2(X125) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_69])]) ).
fof(f6066,plain,
( ! [X0,X1] :
( ~ r1(sK19,X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl435_69 ),
inference(resolution,[],[f1755,f770]) ).
fof(f770,plain,
! [X126,X125] :
( sP309(X125)
| p2(X126)
| ~ r1(X125,X126) ),
inference(cnf_transformation,[],[f770_D]) ).
fof(f770_D,plain,
! [X125] :
( ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
<=> ~ sP309(X125) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP309])]) ).
fof(f1755,plain,
( ! [X125] :
( ~ sP309(X125)
| ~ r1(sK19,X125)
| ~ p2(X125) )
| ~ spl435_69 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f6595,plain,
( spl435_27
| ~ spl435_176 ),
inference(avatar_split_clause,[],[f6529,f2215,f1573]) ).
fof(f2215,plain,
( spl435_176
<=> ! [X125] :
( ~ r1(sK19,X125)
| sP202(X125)
| ~ p2(X125) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_176])]) ).
fof(f6529,plain,
( ! [X0,X1] :
( ~ r1(sK19,X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl435_176 ),
inference(resolution,[],[f2216,f1258]) ).
fof(f1258,plain,
! [X126,X125] :
( ~ sP202(X125)
| p2(X126)
| ~ r1(X125,X126) ),
inference(consistent_polarity_flipping,[],[f556]) ).
fof(f556,plain,
! [X126,X125] :
( ~ r1(X125,X126)
| p2(X126)
| sP202(X125) ),
inference(cnf_transformation,[],[f556_D]) ).
fof(f556_D,plain,
! [X125] :
( ! [X126] :
( ~ r1(X125,X126)
| p2(X126) )
<=> ~ sP202(X125) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP202])]) ).
fof(f2216,plain,
( ! [X125] :
( sP202(X125)
| ~ r1(sK19,X125)
| ~ p2(X125) )
| ~ spl435_176 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f6589,plain,
( spl435_455
| ~ spl435_456
| ~ spl435_23
| ~ spl435_218
| spl435_220
| ~ spl435_867 ),
inference(avatar_split_clause,[],[f6588,f6520,f2415,f2406,f1555,f3689,f3686]) ).
fof(f3686,plain,
( spl435_455
<=> ! [X0] :
( p2(X0)
| ~ r1(sK78(sK62),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_455])]) ).
fof(f3689,plain,
( spl435_456
<=> p2(sK78(sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_456])]) ).
fof(f1555,plain,
( spl435_23
<=> ! [X121,X120] :
( ~ r1(sK62,X120)
| ~ p2(X120)
| p2(X121)
| ~ r1(X120,X121) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_23])]) ).
fof(f2406,plain,
( spl435_218
<=> r1(sK37,sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_218])]) ).
fof(f2415,plain,
( spl435_220
<=> p2(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_220])]) ).
fof(f6520,plain,
( spl435_867
<=> ! [X0] :
( ~ r1(sK37,X0)
| r1(X0,sK78(X0))
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_867])]) ).
fof(f6588,plain,
( ! [X0] :
( ~ p2(sK78(sK62))
| p2(X0)
| ~ r1(sK78(sK62),X0) )
| ~ spl435_23
| ~ spl435_218
| spl435_220
| ~ spl435_867 ),
inference(subsumption_resolution,[],[f6587,f2416]) ).
fof(f2416,plain,
( ~ p2(sK62)
| spl435_220 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f6587,plain,
( ! [X0] :
( p2(sK62)
| ~ p2(sK78(sK62))
| p2(X0)
| ~ r1(sK78(sK62),X0) )
| ~ spl435_23
| ~ spl435_218
| ~ spl435_867 ),
inference(subsumption_resolution,[],[f6579,f2407]) ).
fof(f2407,plain,
( r1(sK37,sK62)
| ~ spl435_218 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f6579,plain,
( ! [X0] :
( ~ r1(sK37,sK62)
| p2(sK62)
| ~ p2(sK78(sK62))
| p2(X0)
| ~ r1(sK78(sK62),X0) )
| ~ spl435_23
| ~ spl435_867 ),
inference(resolution,[],[f6521,f1556]) ).
fof(f1556,plain,
( ! [X120,X121] :
( ~ r1(sK62,X120)
| ~ p2(X120)
| p2(X121)
| ~ r1(X120,X121) )
| ~ spl435_23 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f6521,plain,
( ! [X0] :
( r1(X0,sK78(X0))
| ~ r1(sK37,X0)
| p2(X0) )
| ~ spl435_867 ),
inference(avatar_component_clause,[],[f6520]) ).
fof(f6568,plain,
( spl435_524
| spl435_867
| ~ spl435_218
| ~ spl435_224
| ~ spl435_832 ),
inference(avatar_split_clause,[],[f6567,f6117,f2433,f2406,f6520,f4173]) ).
fof(f4173,plain,
( spl435_524
<=> ! [X2,X3] :
( ~ p2(X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ r1(sK37,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_524])]) ).
fof(f2433,plain,
( spl435_224
<=> r1(sK3,sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_224])]) ).
fof(f6117,plain,
( spl435_832
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0,sK62)
| ~ r1(X0,X3)
| p2(X3)
| r1(X3,sK78(X3))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK3,X0)
| ~ r1(X0,X1)
| ~ p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_832])]) ).
fof(f6567,plain,
( ! [X2,X0,X1] :
( ~ r1(sK37,X0)
| p2(X0)
| r1(X0,sK78(X0))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK37,X1)
| ~ p2(X1) )
| ~ spl435_218
| ~ spl435_224
| ~ spl435_832 ),
inference(subsumption_resolution,[],[f6566,f2434]) ).
fof(f2434,plain,
( r1(sK3,sK37)
| ~ spl435_224 ),
inference(avatar_component_clause,[],[f2433]) ).
fof(f6566,plain,
( ! [X2,X0,X1] :
( ~ r1(sK37,X0)
| p2(X0)
| r1(X0,sK78(X0))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK3,sK37)
| ~ r1(sK37,X1)
| ~ p2(X1) )
| ~ spl435_218
| ~ spl435_832 ),
inference(resolution,[],[f6118,f2407]) ).
fof(f6118,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(X0,X3)
| p2(X3)
| r1(X3,sK78(X3))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK3,X0)
| ~ r1(X0,X1)
| ~ p2(X1) )
| ~ spl435_832 ),
inference(avatar_component_clause,[],[f6117]) ).
fof(f6562,plain,
( spl435_524
| spl435_613
| ~ spl435_218
| ~ spl435_224
| ~ spl435_447 ),
inference(avatar_split_clause,[],[f6561,f3659,f2433,f2406,f4670,f4173]) ).
fof(f4670,plain,
( spl435_613
<=> ! [X1] : ~ sP51(X1,sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_613])]) ).
fof(f3659,plain,
( spl435_447
<=> ! [X2,X1] :
( sP38(X1)
| ~ r1(X1,sK62)
| ~ r1(sK3,X1)
| ~ sP51(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_447])]) ).
fof(f6561,plain,
( ! [X2,X0,X1] :
( ~ sP51(X0,sK37)
| ~ p2(X1)
| ~ r1(sK37,X1)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl435_218
| ~ spl435_224
| ~ spl435_447 ),
inference(subsumption_resolution,[],[f6560,f2434]) ).
fof(f6560,plain,
( ! [X2,X0,X1] :
( ~ sP51(X0,sK37)
| ~ p2(X1)
| ~ r1(sK37,X1)
| ~ r1(sK3,sK37)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl435_218
| ~ spl435_447 ),
inference(resolution,[],[f6558,f2407]) ).
fof(f6558,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK62)
| ~ sP51(X1,X0)
| ~ p2(X2)
| ~ r1(X0,X2)
| ~ r1(sK3,X0)
| p2(X3)
| ~ r1(X2,X3) )
| ~ spl435_447 ),
inference(resolution,[],[f6549,f1167]) ).
fof(f1167,plain,
! [X94,X95] :
( ~ sP287(X94)
| p2(X95)
| ~ r1(X94,X95) ),
inference(consistent_polarity_flipping,[],[f726]) ).
fof(f726,plain,
! [X94,X95] :
( ~ r1(X94,X95)
| p2(X95)
| sP287(X94) ),
inference(cnf_transformation,[],[f726_D]) ).
fof(f726_D,plain,
! [X94] :
( ! [X95] :
( ~ r1(X94,X95)
| p2(X95) )
<=> ~ sP287(X94) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP287])]) ).
fof(f6549,plain,
( ! [X2,X0,X1] :
( sP287(X2)
| ~ r1(sK3,X0)
| ~ sP51(X1,X0)
| ~ p2(X2)
| ~ r1(X0,X2)
| ~ r1(X0,sK62) )
| ~ spl435_447 ),
inference(resolution,[],[f3660,f1166]) ).
fof(f1166,plain,
! [X94,X93] :
( ~ sP38(X93)
| ~ p2(X94)
| ~ r1(X93,X94)
| sP287(X94) ),
inference(consistent_polarity_flipping,[],[f727]) ).
fof(f727,plain,
! [X94,X93] :
( ~ r1(X93,X94)
| ~ p2(X94)
| ~ sP38(X93)
| ~ sP287(X94) ),
inference(general_splitting,[],[f73,f726_D]) ).
fof(f73,plain,
! [X94,X95,X93] :
( ~ r1(X93,X94)
| ~ r1(X94,X95)
| p2(X95)
| ~ p2(X94)
| ~ sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3660,plain,
( ! [X2,X1] :
( sP38(X1)
| ~ r1(X1,sK62)
| ~ r1(sK3,X1)
| ~ sP51(X2,X1) )
| ~ spl435_447 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f6541,plain,
( spl435_524
| spl435_495
| ~ spl435_162
| ~ spl435_218
| ~ spl435_224
| ~ spl435_450 ),
inference(avatar_split_clause,[],[f6540,f3669,f2433,f2406,f2154,f3994,f4173]) ).
fof(f3994,plain,
( spl435_495
<=> ! [X0] :
( p2(X0)
| r1(X0,sK67(X0))
| ~ r1(sK37,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_495])]) ).
fof(f2154,plain,
( spl435_162
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| ~ sP216(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_162])]) ).
fof(f3669,plain,
( spl435_450
<=> ! [X3] :
( sP51(sK62,X3)
| ~ r1(X3,sK62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_450])]) ).
fof(f6540,plain,
( ! [X2,X0,X1] :
( p2(X0)
| r1(X0,sK67(X0))
| ~ r1(sK37,X0)
| ~ p2(X1)
| ~ r1(sK37,X1)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl435_162
| ~ spl435_218
| ~ spl435_224
| ~ spl435_450 ),
inference(subsumption_resolution,[],[f6536,f2434]) ).
fof(f6536,plain,
( ! [X2,X0,X1] :
( p2(X0)
| r1(X0,sK67(X0))
| ~ r1(sK37,X0)
| ~ p2(X1)
| ~ r1(sK37,X1)
| ~ r1(sK3,sK37)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl435_162
| ~ spl435_218
| ~ spl435_450 ),
inference(resolution,[],[f6531,f5945]) ).
fof(f5945,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP51(X0,X1)
| p2(X2)
| r1(X2,sK67(X2))
| ~ r1(X1,X2)
| ~ p2(X3)
| ~ r1(X1,X3)
| ~ r1(sK3,X1)
| p2(X4)
| ~ r1(X3,X4) )
| ~ spl435_162 ),
inference(resolution,[],[f5907,f1167]) ).
fof(f5907,plain,
( ! [X2,X3,X0,X1] :
( sP287(X3)
| ~ sP51(X1,X0)
| p2(X2)
| r1(X2,sK67(X2))
| ~ r1(X0,X2)
| ~ p2(X3)
| ~ r1(X0,X3)
| ~ r1(sK3,X0) )
| ~ spl435_162 ),
inference(resolution,[],[f3904,f1166]) ).
fof(f3904,plain,
( ! [X2,X0,X1] :
( sP38(X0)
| ~ r1(sK3,X0)
| ~ sP51(X1,X0)
| p2(X2)
| r1(X2,sK67(X2))
| ~ r1(X0,X2) )
| ~ spl435_162 ),
inference(resolution,[],[f2155,f584]) ).
fof(f584,plain,
! [X96,X93] :
( sP216(X93)
| p2(X96)
| r1(X96,sK67(X96))
| ~ r1(X93,X96) ),
inference(cnf_transformation,[],[f584_D]) ).
fof(f584_D,plain,
! [X93] :
( ! [X96] :
( p2(X96)
| r1(X96,sK67(X96))
| ~ r1(X93,X96) )
<=> ~ sP216(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP216])]) ).
fof(f2155,plain,
( ! [X103,X93] :
( ~ sP216(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_162 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f6531,plain,
( sP51(sK62,sK37)
| ~ spl435_218
| ~ spl435_450 ),
inference(resolution,[],[f3670,f2407]) ).
fof(f3670,plain,
( ! [X3] :
( ~ r1(X3,sK62)
| sP51(sK62,X3) )
| ~ spl435_450 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f6517,plain,
( spl435_447
| ~ spl435_164
| ~ spl435_462 ),
inference(avatar_split_clause,[],[f6516,f3736,f2163,f3659]) ).
fof(f2163,plain,
( spl435_164
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP214(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_164])]) ).
fof(f3736,plain,
( spl435_462
<=> ! [X0] :
( ~ r1(X0,sK62)
| ~ sP214(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_462])]) ).
fof(f6516,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_164
| ~ spl435_462 ),
inference(resolution,[],[f3737,f2164]) ).
fof(f2164,plain,
( ! [X103,X93] :
( sP214(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_164 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f3737,plain,
( ! [X0] :
( ~ sP214(X0)
| ~ r1(X0,sK62) )
| ~ spl435_462 ),
inference(avatar_component_clause,[],[f3736]) ).
fof(f6515,plain,
( spl435_447
| ~ spl435_175
| ~ spl435_461 ),
inference(avatar_split_clause,[],[f6514,f3732,f2210,f3659]) ).
fof(f2210,plain,
( spl435_175
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP204(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_175])]) ).
fof(f3732,plain,
( spl435_461
<=> ! [X0] :
( ~ r1(X0,sK62)
| ~ sP204(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_461])]) ).
fof(f6514,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_175
| ~ spl435_461 ),
inference(resolution,[],[f3733,f2211]) ).
fof(f2211,plain,
( ! [X103,X93] :
( sP204(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_175 ),
inference(avatar_component_clause,[],[f2210]) ).
fof(f3733,plain,
( ! [X0] :
( ~ sP204(X0)
| ~ r1(X0,sK62) )
| ~ spl435_461 ),
inference(avatar_component_clause,[],[f3732]) ).
fof(f6504,plain,
( spl435_448
| ~ spl435_449
| spl435_832
| ~ spl435_23
| ~ spl435_162
| spl435_220 ),
inference(avatar_split_clause,[],[f6503,f2415,f2154,f1555,f6117,f3665,f3662]) ).
fof(f3662,plain,
( spl435_448
<=> ! [X0] :
( p2(X0)
| ~ r1(sK67(sK62),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_448])]) ).
fof(f3665,plain,
( spl435_449
<=> p2(sK67(sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_449])]) ).
fof(f6503,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,sK62)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK3,X0)
| p2(X2)
| ~ r1(X1,X2)
| p2(X3)
| r1(X3,sK78(X3))
| ~ r1(X0,X3)
| ~ p2(sK67(sK62))
| p2(X4)
| ~ r1(sK67(sK62),X4) )
| ~ spl435_23
| ~ spl435_162
| spl435_220 ),
inference(subsumption_resolution,[],[f6105,f2416]) ).
fof(f6105,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK62)
| ~ r1(X0,sK62)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK3,X0)
| p2(X2)
| ~ r1(X1,X2)
| p2(X3)
| r1(X3,sK78(X3))
| ~ r1(X0,X3)
| ~ p2(sK67(sK62))
| p2(X4)
| ~ r1(sK67(sK62),X4) )
| ~ spl435_23
| ~ spl435_162 ),
inference(resolution,[],[f5996,f1556]) ).
fof(f5996,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(X0,sK67(X0))
| p2(X0)
| ~ r1(X1,X0)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ r1(sK3,X1)
| p2(X3)
| ~ r1(X2,X3)
| p2(X4)
| r1(X4,sK78(X4))
| ~ r1(X1,X4) )
| ~ spl435_162 ),
inference(resolution,[],[f5945,f1470]) ).
fof(f1470,plain,
! [X103,X93] :
( sP51(X103,X93)
| p2(X103)
| r1(X103,sK78(X103))
| ~ r1(X93,X103) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f69,plain,
! [X103,X93] :
( ~ r1(X93,X103)
| p2(X103)
| r1(X103,sK78(X103))
| ~ sP51(X103,X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f6502,plain,
( spl435_448
| ~ spl435_449
| ~ spl435_23
| ~ spl435_218
| spl435_220
| ~ spl435_495 ),
inference(avatar_split_clause,[],[f6501,f3994,f2415,f2406,f1555,f3665,f3662]) ).
fof(f6501,plain,
( ! [X0] :
( ~ p2(sK67(sK62))
| p2(X0)
| ~ r1(sK67(sK62),X0) )
| ~ spl435_23
| ~ spl435_218
| spl435_220
| ~ spl435_495 ),
inference(subsumption_resolution,[],[f6500,f2407]) ).
fof(f6500,plain,
( ! [X0] :
( ~ r1(sK37,sK62)
| ~ p2(sK67(sK62))
| p2(X0)
| ~ r1(sK67(sK62),X0) )
| ~ spl435_23
| spl435_220
| ~ spl435_495 ),
inference(subsumption_resolution,[],[f6136,f2416]) ).
fof(f6136,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(sK37,sK62)
| ~ p2(sK67(sK62))
| p2(X0)
| ~ r1(sK67(sK62),X0) )
| ~ spl435_23
| ~ spl435_495 ),
inference(resolution,[],[f3995,f1556]) ).
fof(f3995,plain,
( ! [X0] :
( r1(X0,sK67(X0))
| p2(X0)
| ~ r1(sK37,X0) )
| ~ spl435_495 ),
inference(avatar_component_clause,[],[f3994]) ).
fof(f6499,plain,
( spl435_455
| ~ spl435_456
| ~ spl435_23
| ~ spl435_218
| spl435_220
| ~ spl435_613 ),
inference(avatar_split_clause,[],[f6498,f4670,f2415,f2406,f1555,f3689,f3686]) ).
fof(f6498,plain,
( ! [X0] :
( ~ p2(sK78(sK62))
| p2(X0)
| ~ r1(sK78(sK62),X0) )
| ~ spl435_23
| ~ spl435_218
| spl435_220
| ~ spl435_613 ),
inference(subsumption_resolution,[],[f6497,f2407]) ).
fof(f6497,plain,
( ! [X0] :
( ~ r1(sK37,sK62)
| ~ p2(sK78(sK62))
| p2(X0)
| ~ r1(sK78(sK62),X0) )
| ~ spl435_23
| spl435_220
| ~ spl435_613 ),
inference(subsumption_resolution,[],[f6485,f2416]) ).
fof(f6485,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(sK37,sK62)
| ~ p2(sK78(sK62))
| p2(X0)
| ~ r1(sK78(sK62),X0) )
| ~ spl435_23
| ~ spl435_613 ),
inference(resolution,[],[f6087,f1556]) ).
fof(f6087,plain,
( ! [X0] :
( r1(X0,sK78(X0))
| p2(X0)
| ~ r1(sK37,X0) )
| ~ spl435_613 ),
inference(resolution,[],[f4671,f1470]) ).
fof(f4671,plain,
( ! [X1] : ~ sP51(X1,sK37)
| ~ spl435_613 ),
inference(avatar_component_clause,[],[f4670]) ).
fof(f6076,plain,
( spl435_613
| ~ spl435_218
| ~ spl435_224
| ~ spl435_447
| ~ spl435_494 ),
inference(avatar_split_clause,[],[f6075,f3991,f3659,f2433,f2406,f4670]) ).
fof(f3991,plain,
( spl435_494
<=> p2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_494])]) ).
fof(f6075,plain,
( ! [X0] : ~ sP51(X0,sK37)
| ~ spl435_218
| ~ spl435_224
| ~ spl435_447
| ~ spl435_494 ),
inference(subsumption_resolution,[],[f6074,f4958]) ).
fof(f4958,plain,
( p2(sK37)
| ~ spl435_494 ),
inference(avatar_component_clause,[],[f3991]) ).
fof(f6074,plain,
( ! [X0] :
( ~ sP51(X0,sK37)
| ~ p2(sK37) )
| ~ spl435_218
| ~ spl435_224
| ~ spl435_447 ),
inference(subsumption_resolution,[],[f6073,f2434]) ).
fof(f6073,plain,
( ! [X0] :
( ~ r1(sK3,sK37)
| ~ sP51(X0,sK37)
| ~ p2(sK37) )
| ~ spl435_218
| ~ spl435_447 ),
inference(resolution,[],[f6070,f2407]) ).
fof(f6070,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| ~ sP51(X1,X0)
| ~ p2(X0) )
| ~ spl435_447 ),
inference(resolution,[],[f3660,f222]) ).
fof(f222,plain,
! [X93] :
( ~ sP38(X93)
| ~ p2(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f6068,plain,
( spl435_447
| ~ spl435_79
| ~ spl435_538 ),
inference(avatar_split_clause,[],[f6067,f4269,f1798,f3659]) ).
fof(f1798,plain,
( spl435_79
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP299(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_79])]) ).
fof(f4269,plain,
( spl435_538
<=> ! [X0] :
( ~ r1(X0,sK62)
| ~ sP299(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_538])]) ).
fof(f6067,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_79
| ~ spl435_538 ),
inference(resolution,[],[f4270,f1799]) ).
fof(f1799,plain,
( ! [X103,X93] :
( sP299(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_79 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f4270,plain,
( ! [X0] :
( ~ sP299(X0)
| ~ r1(X0,sK62) )
| ~ spl435_538 ),
inference(avatar_component_clause,[],[f4269]) ).
fof(f6065,plain,
( spl435_447
| ~ spl435_68
| ~ spl435_537 ),
inference(avatar_split_clause,[],[f6064,f4264,f1749,f3659]) ).
fof(f1749,plain,
( spl435_68
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP311(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_68])]) ).
fof(f4264,plain,
( spl435_537
<=> ! [X0] :
( ~ r1(X0,sK62)
| ~ sP311(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_537])]) ).
fof(f6064,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_68
| ~ spl435_537 ),
inference(resolution,[],[f4265,f1750]) ).
fof(f1750,plain,
( ! [X103,X93] :
( sP311(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_68 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f4265,plain,
( ! [X0] :
( ~ sP311(X0)
| ~ r1(X0,sK62) )
| ~ spl435_537 ),
inference(avatar_component_clause,[],[f4264]) ).
fof(f6063,plain,
( spl435_447
| ~ spl435_75
| ~ spl435_536 ),
inference(avatar_split_clause,[],[f6062,f4259,f1780,f3659]) ).
fof(f1780,plain,
( spl435_75
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| ~ sP303(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_75])]) ).
fof(f4259,plain,
( spl435_536
<=> ! [X0] :
( ~ r1(X0,sK62)
| sP303(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_536])]) ).
fof(f6062,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_75
| ~ spl435_536 ),
inference(resolution,[],[f4260,f1781]) ).
fof(f1781,plain,
( ! [X103,X93] :
( ~ sP303(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_75 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f4260,plain,
( ! [X0] :
( sP303(X0)
| ~ r1(X0,sK62) )
| ~ spl435_536 ),
inference(avatar_component_clause,[],[f4259]) ).
fof(f6059,plain,
( spl435_536
| spl435_535
| spl435_220
| ~ spl435_448 ),
inference(avatar_split_clause,[],[f6058,f3662,f2415,f4254,f4259]) ).
fof(f4254,plain,
( spl435_535
<=> p2(sK79(sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_535])]) ).
fof(f6058,plain,
( ! [X0] :
( p2(sK79(sK62))
| ~ r1(X0,sK62)
| sP303(X0) )
| spl435_220
| ~ spl435_448 ),
inference(subsumption_resolution,[],[f5924,f2416]) ).
fof(f5924,plain,
( ! [X0] :
( p2(sK79(sK62))
| p2(sK62)
| ~ r1(X0,sK62)
| sP303(X0) )
| ~ spl435_448 ),
inference(resolution,[],[f3663,f758]) ).
fof(f758,plain,
! [X96,X93] :
( r1(sK67(X96),sK79(X96))
| p2(X96)
| ~ r1(X93,X96)
| sP303(X93) ),
inference(cnf_transformation,[],[f758_D]) ).
fof(f758_D,plain,
! [X93] :
( ! [X96] :
( r1(sK67(X96),sK79(X96))
| p2(X96)
| ~ r1(X93,X96) )
<=> ~ sP303(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP303])]) ).
fof(f3663,plain,
( ! [X0] :
( ~ r1(sK67(sK62),X0)
| p2(X0) )
| ~ spl435_448 ),
inference(avatar_component_clause,[],[f3662]) ).
fof(f6057,plain,
( spl435_537
| spl435_535
| spl435_220
| ~ spl435_448 ),
inference(avatar_split_clause,[],[f6056,f3662,f2415,f4254,f4264]) ).
fof(f6056,plain,
( ! [X0] :
( p2(sK79(sK62))
| ~ r1(X0,sK62)
| ~ sP311(X0) )
| spl435_220
| ~ spl435_448 ),
inference(subsumption_resolution,[],[f5925,f2416]) ).
fof(f5925,plain,
( ! [X0] :
( p2(sK79(sK62))
| p2(sK62)
| ~ r1(X0,sK62)
| ~ sP311(X0) )
| ~ spl435_448 ),
inference(resolution,[],[f3663,f1144]) ).
fof(f1144,plain,
! [X96,X93] :
( r1(sK67(X96),sK79(X96))
| p2(X96)
| ~ r1(X93,X96)
| ~ sP311(X93) ),
inference(consistent_polarity_flipping,[],[f774]) ).
fof(f774,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP311(X93) ),
inference(cnf_transformation,[],[f774_D]) ).
fof(f774_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96)) )
<=> ~ sP311(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP311])]) ).
fof(f6055,plain,
( spl435_538
| spl435_535
| spl435_220
| ~ spl435_448 ),
inference(avatar_split_clause,[],[f6054,f3662,f2415,f4254,f4269]) ).
fof(f6054,plain,
( ! [X0] :
( p2(sK79(sK62))
| ~ r1(X0,sK62)
| ~ sP299(X0) )
| spl435_220
| ~ spl435_448 ),
inference(subsumption_resolution,[],[f5926,f2416]) ).
fof(f5926,plain,
( ! [X0] :
( p2(sK79(sK62))
| p2(sK62)
| ~ r1(X0,sK62)
| ~ sP299(X0) )
| ~ spl435_448 ),
inference(resolution,[],[f3663,f1151]) ).
fof(f1151,plain,
! [X96,X93] :
( r1(sK67(X96),sK79(X96))
| p2(X96)
| ~ r1(X93,X96)
| ~ sP299(X93) ),
inference(consistent_polarity_flipping,[],[f750]) ).
fof(f750,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP299(X93) ),
inference(cnf_transformation,[],[f750_D]) ).
fof(f750_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96)) )
<=> ~ sP299(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP299])]) ).
fof(f6047,plain,
( spl435_447
| ~ spl435_81
| spl435_220
| ~ spl435_535 ),
inference(avatar_split_clause,[],[f6046,f4254,f2415,f1807,f3659]) ).
fof(f1807,plain,
( spl435_81
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP297(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_81])]) ).
fof(f6046,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_81
| spl435_220
| ~ spl435_535 ),
inference(resolution,[],[f5958,f1808]) ).
fof(f1808,plain,
( ! [X103,X93] :
( sP297(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_81 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f5958,plain,
( ! [X0] :
( ~ sP297(X0)
| ~ r1(X0,sK62) )
| spl435_220
| ~ spl435_535 ),
inference(subsumption_resolution,[],[f5951,f2416]) ).
fof(f5951,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| ~ sP297(X0) )
| ~ spl435_535 ),
inference(resolution,[],[f4255,f1153]) ).
fof(f1153,plain,
! [X96,X93] :
( ~ p2(sK79(X96))
| p2(X96)
| ~ r1(X93,X96)
| ~ sP297(X93) ),
inference(consistent_polarity_flipping,[],[f746]) ).
fof(f746,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP297(X93) ),
inference(cnf_transformation,[],[f746_D]) ).
fof(f746_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96)) )
<=> ~ sP297(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP297])]) ).
fof(f4255,plain,
( p2(sK79(sK62))
| ~ spl435_535 ),
inference(avatar_component_clause,[],[f4254]) ).
fof(f6043,plain,
( spl435_447
| ~ spl435_72
| spl435_220
| ~ spl435_535 ),
inference(avatar_split_clause,[],[f6042,f4254,f2415,f1766,f3659]) ).
fof(f1766,plain,
( spl435_72
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| ~ sP307(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_72])]) ).
fof(f6042,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_72
| spl435_220
| ~ spl435_535 ),
inference(resolution,[],[f5957,f1767]) ).
fof(f1767,plain,
( ! [X103,X93] :
( ~ sP307(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_72 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f5957,plain,
( ! [X0] :
( sP307(X0)
| ~ r1(X0,sK62) )
| spl435_220
| ~ spl435_535 ),
inference(subsumption_resolution,[],[f5950,f2416]) ).
fof(f5950,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| sP307(X0) )
| ~ spl435_535 ),
inference(resolution,[],[f4255,f766]) ).
fof(f766,plain,
! [X96,X93] :
( ~ p2(sK79(X96))
| p2(X96)
| ~ r1(X93,X96)
| sP307(X93) ),
inference(cnf_transformation,[],[f766_D]) ).
fof(f766_D,plain,
! [X93] :
( ! [X96] :
( ~ p2(sK79(X96))
| p2(X96)
| ~ r1(X93,X96) )
<=> ~ sP307(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP307])]) ).
fof(f6041,plain,
( spl435_447
| ~ spl435_77
| spl435_220
| ~ spl435_535 ),
inference(avatar_split_clause,[],[f6040,f4254,f2415,f1789,f3659]) ).
fof(f1789,plain,
( spl435_77
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| ~ sP301(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_77])]) ).
fof(f6040,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_77
| spl435_220
| ~ spl435_535 ),
inference(resolution,[],[f5956,f1790]) ).
fof(f1790,plain,
( ! [X103,X93] :
( ~ sP301(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_77 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f5956,plain,
( ! [X0] :
( sP301(X0)
| ~ r1(X0,sK62) )
| spl435_220
| ~ spl435_535 ),
inference(subsumption_resolution,[],[f5949,f2416]) ).
fof(f5949,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| sP301(X0) )
| ~ spl435_535 ),
inference(resolution,[],[f4255,f754]) ).
fof(f754,plain,
! [X96,X93] :
( ~ p2(sK79(X96))
| p2(X96)
| ~ r1(X93,X96)
| sP301(X93) ),
inference(cnf_transformation,[],[f754_D]) ).
fof(f754_D,plain,
! [X93] :
( ! [X96] :
( ~ p2(sK79(X96))
| p2(X96)
| ~ r1(X93,X96) )
<=> ~ sP301(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP301])]) ).
fof(f5964,plain,
( ~ spl435_218
| ~ spl435_450
| ~ spl435_613 ),
inference(avatar_contradiction_clause,[],[f5962]) ).
fof(f5962,plain,
( $false
| ~ spl435_218
| ~ spl435_450
| ~ spl435_613 ),
inference(resolution,[],[f4671,f4975]) ).
fof(f4975,plain,
( sP51(sK62,sK37)
| ~ spl435_218
| ~ spl435_450 ),
inference(resolution,[],[f2407,f3670]) ).
fof(f5867,plain,
( ~ spl435_92
| ~ spl435_95
| ~ spl435_224
| spl435_494
| ~ spl435_567 ),
inference(avatar_contradiction_clause,[],[f5866]) ).
fof(f5866,plain,
( $false
| ~ spl435_92
| ~ spl435_95
| ~ spl435_224
| spl435_494
| ~ spl435_567 ),
inference(subsumption_resolution,[],[f5865,f3992]) ).
fof(f3992,plain,
( ~ p2(sK37)
| spl435_494 ),
inference(avatar_component_clause,[],[f3991]) ).
fof(f5865,plain,
( p2(sK37)
| ~ spl435_92
| ~ spl435_95
| ~ spl435_224
| spl435_494
| ~ spl435_567 ),
inference(subsumption_resolution,[],[f5864,f2434]) ).
fof(f5864,plain,
( ~ r1(sK3,sK37)
| p2(sK37)
| ~ spl435_92
| ~ spl435_95
| ~ spl435_224
| spl435_494
| ~ spl435_567 ),
inference(resolution,[],[f5494,f1868]) ).
fof(f1868,plain,
( ! [X115] :
( ~ p2(sK75(X115))
| ~ r1(sK3,X115)
| p2(X115) )
| ~ spl435_95 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1867,plain,
( spl435_95
<=> ! [X115] :
( ~ r1(sK3,X115)
| ~ p2(sK75(X115))
| p2(X115) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_95])]) ).
fof(f5494,plain,
( p2(sK75(sK37))
| ~ spl435_92
| ~ spl435_224
| spl435_494
| ~ spl435_567 ),
inference(subsumption_resolution,[],[f5493,f3992]) ).
fof(f5493,plain,
( p2(sK75(sK37))
| p2(sK37)
| ~ spl435_92
| ~ spl435_224
| ~ spl435_567 ),
inference(subsumption_resolution,[],[f5475,f2434]) ).
fof(f5475,plain,
( p2(sK75(sK37))
| ~ r1(sK3,sK37)
| p2(sK37)
| ~ spl435_92
| ~ spl435_567 ),
inference(resolution,[],[f4455,f1854]) ).
fof(f1854,plain,
( ! [X115] :
( r1(sK63(X115),sK75(X115))
| ~ r1(sK3,X115)
| p2(X115) )
| ~ spl435_92 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f1853,plain,
( spl435_92
<=> ! [X115] :
( ~ r1(sK3,X115)
| r1(sK63(X115),sK75(X115))
| p2(X115) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_92])]) ).
fof(f4455,plain,
( ! [X0] :
( ~ r1(sK63(sK37),X0)
| p2(X0) )
| ~ spl435_567 ),
inference(avatar_component_clause,[],[f4454]) ).
fof(f4454,plain,
( spl435_567
<=> ! [X0] :
( ~ r1(sK63(sK37),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_567])]) ).
fof(f5201,plain,
( ~ spl435_218
| spl435_220
| ~ spl435_657 ),
inference(avatar_contradiction_clause,[],[f5200]) ).
fof(f5200,plain,
( $false
| ~ spl435_218
| spl435_220
| ~ spl435_657 ),
inference(subsumption_resolution,[],[f5182,f2416]) ).
fof(f5182,plain,
( p2(sK62)
| ~ spl435_218
| ~ spl435_657 ),
inference(resolution,[],[f4971,f2407]) ).
fof(f4971,plain,
( ! [X0] :
( ~ r1(sK37,X0)
| p2(X0) )
| ~ spl435_657 ),
inference(avatar_component_clause,[],[f4970]) ).
fof(f4970,plain,
( spl435_657
<=> ! [X0] :
( ~ r1(sK37,X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_657])]) ).
fof(f4973,plain,
( spl435_494
| ~ spl435_566
| spl435_567
| ~ spl435_208
| ~ spl435_224
| ~ spl435_524 ),
inference(avatar_split_clause,[],[f4448,f4173,f2433,f2354,f4454,f4451,f3991]) ).
fof(f4451,plain,
( spl435_566
<=> p2(sK63(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_566])]) ).
fof(f2354,plain,
( spl435_208
<=> ! [X115] :
( ~ r1(sK3,X115)
| r1(X115,sK63(X115))
| p2(X115) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_208])]) ).
fof(f4448,plain,
( ! [X0] :
( ~ r1(sK63(sK37),X0)
| p2(X0)
| ~ p2(sK63(sK37))
| p2(sK37) )
| ~ spl435_208
| ~ spl435_224
| ~ spl435_524 ),
inference(subsumption_resolution,[],[f4401,f2434]) ).
fof(f4401,plain,
( ! [X0] :
( ~ r1(sK63(sK37),X0)
| p2(X0)
| ~ p2(sK63(sK37))
| ~ r1(sK3,sK37)
| p2(sK37) )
| ~ spl435_208
| ~ spl435_524 ),
inference(resolution,[],[f4174,f2355]) ).
fof(f2355,plain,
( ! [X115] :
( r1(X115,sK63(X115))
| ~ r1(sK3,X115)
| p2(X115) )
| ~ spl435_208 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f4174,plain,
( ! [X2,X3] :
( ~ r1(sK37,X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2) )
| ~ spl435_524 ),
inference(avatar_component_clause,[],[f4173]) ).
fof(f4972,plain,
( ~ spl435_494
| spl435_657
| ~ spl435_524 ),
inference(avatar_split_clause,[],[f4393,f4173,f4970,f3991]) ).
fof(f4393,plain,
( ! [X0] :
( ~ r1(sK37,X0)
| p2(X0)
| ~ p2(sK37) )
| ~ spl435_524 ),
inference(resolution,[],[f4174,f321]) ).
fof(f321,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4954,plain,
( ~ spl435_22
| ~ spl435_222
| ~ spl435_257
| ~ spl435_260
| ~ spl435_431 ),
inference(avatar_contradiction_clause,[],[f4953]) ).
fof(f4953,plain,
( $false
| ~ spl435_22
| ~ spl435_222
| ~ spl435_257
| ~ spl435_260
| ~ spl435_431 ),
inference(subsumption_resolution,[],[f4952,f4792]) ).
fof(f4792,plain,
( ~ p2(sK3)
| ~ spl435_22 ),
inference(resolution,[],[f1553,f231]) ).
fof(f4952,plain,
( p2(sK3)
| ~ spl435_22
| ~ spl435_222
| ~ spl435_257
| ~ spl435_260
| ~ spl435_431 ),
inference(subsumption_resolution,[],[f4951,f2425]) ).
fof(f4951,plain,
( ~ r1(sK0,sK3)
| p2(sK3)
| ~ spl435_22
| ~ spl435_222
| ~ spl435_257
| ~ spl435_260
| ~ spl435_431 ),
inference(resolution,[],[f4903,f2589]) ).
fof(f2589,plain,
( ! [X135] :
( ~ p2(sK50(X135))
| ~ r1(sK0,X135)
| p2(X135) )
| ~ spl435_260 ),
inference(avatar_component_clause,[],[f2588]) ).
fof(f2588,plain,
( spl435_260
<=> ! [X135] :
( ~ r1(sK0,X135)
| ~ p2(sK50(X135))
| p2(X135) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_260])]) ).
fof(f4903,plain,
( p2(sK50(sK3))
| ~ spl435_22
| ~ spl435_222
| ~ spl435_257
| ~ spl435_431 ),
inference(subsumption_resolution,[],[f4902,f4792]) ).
fof(f4902,plain,
( p2(sK50(sK3))
| p2(sK3)
| ~ spl435_222
| ~ spl435_257
| ~ spl435_431 ),
inference(subsumption_resolution,[],[f4885,f2425]) ).
fof(f4885,plain,
( p2(sK50(sK3))
| ~ r1(sK0,sK3)
| p2(sK3)
| ~ spl435_257
| ~ spl435_431 ),
inference(resolution,[],[f3569,f2577]) ).
fof(f2577,plain,
( ! [X135] :
( r1(sK32(X135),sK50(X135))
| ~ r1(sK0,X135)
| p2(X135) )
| ~ spl435_257 ),
inference(avatar_component_clause,[],[f2576]) ).
fof(f2576,plain,
( spl435_257
<=> ! [X135] :
( ~ r1(sK0,X135)
| r1(sK32(X135),sK50(X135))
| p2(X135) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_257])]) ).
fof(f3569,plain,
( ! [X0] :
( ~ r1(sK32(sK3),X0)
| p2(X0) )
| ~ spl435_431 ),
inference(avatar_component_clause,[],[f3568]) ).
fof(f3568,plain,
( spl435_431
<=> ! [X0] :
( p2(X0)
| ~ r1(sK32(sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_431])]) ).
fof(f4794,plain,
( ~ spl435_22
| ~ spl435_617 ),
inference(avatar_contradiction_clause,[],[f4793]) ).
fof(f4793,plain,
( $false
| ~ spl435_22
| ~ spl435_617 ),
inference(subsumption_resolution,[],[f4792,f4743]) ).
fof(f4743,plain,
( p2(sK3)
| ~ spl435_617 ),
inference(avatar_component_clause,[],[f4742]) ).
fof(f4731,plain,
( ~ spl435_210
| ~ spl435_218
| spl435_220
| ~ spl435_224
| ~ spl435_524
| spl435_566 ),
inference(avatar_contradiction_clause,[],[f4730]) ).
fof(f4730,plain,
( $false
| ~ spl435_210
| ~ spl435_218
| spl435_220
| ~ spl435_224
| ~ spl435_524
| spl435_566 ),
inference(subsumption_resolution,[],[f4713,f2416]) ).
fof(f4713,plain,
( p2(sK62)
| ~ spl435_210
| ~ spl435_218
| ~ spl435_224
| ~ spl435_524
| spl435_566 ),
inference(resolution,[],[f4679,f2407]) ).
fof(f4679,plain,
( ! [X0] :
( ~ r1(sK37,X0)
| p2(X0) )
| ~ spl435_210
| ~ spl435_224
| ~ spl435_524
| spl435_566 ),
inference(subsumption_resolution,[],[f4393,f4664]) ).
fof(f4664,plain,
( p2(sK37)
| ~ spl435_210
| ~ spl435_224
| spl435_566 ),
inference(subsumption_resolution,[],[f4663,f2434]) ).
fof(f4663,plain,
( ~ r1(sK3,sK37)
| p2(sK37)
| ~ spl435_210
| spl435_566 ),
inference(resolution,[],[f4452,f2364]) ).
fof(f2364,plain,
( ! [X115] :
( p2(sK63(X115))
| ~ r1(sK3,X115)
| p2(X115) )
| ~ spl435_210 ),
inference(avatar_component_clause,[],[f2363]) ).
fof(f2363,plain,
( spl435_210
<=> ! [X115] :
( ~ r1(sK3,X115)
| p2(sK63(X115))
| p2(X115) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_210])]) ).
fof(f4452,plain,
( ~ p2(sK63(sK37))
| spl435_566 ),
inference(avatar_component_clause,[],[f4451]) ).
fof(f4363,plain,
( spl435_450
| spl435_220
| ~ spl435_511 ),
inference(avatar_split_clause,[],[f4362,f4092,f2415,f3669]) ).
fof(f4092,plain,
( spl435_511
<=> p2(sK82(sK62)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_511])]) ).
fof(f4362,plain,
( ! [X0] :
( ~ r1(X0,sK62)
| sP51(sK62,X0) )
| spl435_220
| ~ spl435_511 ),
inference(subsumption_resolution,[],[f4361,f2416]) ).
fof(f4361,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| sP51(sK62,X0) )
| ~ spl435_511 ),
inference(resolution,[],[f4093,f1471]) ).
fof(f1471,plain,
! [X103,X93] :
( ~ p2(sK82(X103))
| p2(X103)
| ~ r1(X93,X103)
| sP51(X103,X93) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f29,plain,
! [X103,X93] :
( ~ r1(X93,X103)
| p2(X103)
| ~ p2(sK82(X103))
| ~ sP51(X103,X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f4093,plain,
( p2(sK82(sK62))
| ~ spl435_511 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f4344,plain,
( spl435_524
| spl435_495
| ~ spl435_218
| ~ spl435_224
| ~ spl435_554 ),
inference(avatar_split_clause,[],[f4343,f4332,f2433,f2406,f3994,f4173]) ).
fof(f4332,plain,
( spl435_554
<=> ! [X0,X3,X2,X1] :
( r1(X0,sK67(X0))
| ~ r1(X1,sK62)
| p2(X0)
| ~ r1(X2,X3)
| p2(X3)
| ~ r1(sK3,X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_554])]) ).
fof(f4343,plain,
( ! [X2,X0,X1] :
( r1(X0,sK67(X0))
| p2(X0)
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK37,X1)
| ~ p2(X1)
| ~ r1(sK37,X0) )
| ~ spl435_218
| ~ spl435_224
| ~ spl435_554 ),
inference(subsumption_resolution,[],[f4342,f2434]) ).
fof(f4342,plain,
( ! [X2,X0,X1] :
( r1(X0,sK67(X0))
| p2(X0)
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(sK3,sK37)
| ~ r1(sK37,X1)
| ~ p2(X1)
| ~ r1(sK37,X0) )
| ~ spl435_218
| ~ spl435_554 ),
inference(resolution,[],[f4333,f2407]) ).
fof(f4333,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X1,sK62)
| r1(X0,sK67(X0))
| p2(X0)
| ~ r1(X2,X3)
| p2(X3)
| ~ r1(sK3,X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ r1(X1,X0) )
| ~ spl435_554 ),
inference(avatar_component_clause,[],[f4332]) ).
fof(f4334,plain,
( spl435_455
| ~ spl435_456
| spl435_554
| ~ spl435_23
| ~ spl435_171
| spl435_220 ),
inference(avatar_split_clause,[],[f4330,f2415,f2193,f1555,f4332,f3689,f3686]) ).
fof(f2193,plain,
( spl435_171
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP208(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_171])]) ).
fof(f4330,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(X0,sK67(X0))
| ~ r1(X1,X0)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ r1(sK3,X1)
| p2(X3)
| ~ r1(X2,X3)
| p2(X0)
| ~ r1(X1,sK62)
| ~ p2(sK78(sK62))
| p2(X4)
| ~ r1(sK78(sK62),X4) )
| ~ spl435_23
| ~ spl435_171
| spl435_220 ),
inference(subsumption_resolution,[],[f4147,f2416]) ).
fof(f4147,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(X0,sK67(X0))
| ~ r1(X1,X0)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ r1(sK3,X1)
| p2(X3)
| ~ r1(X2,X3)
| p2(sK62)
| p2(X0)
| ~ r1(X1,sK62)
| ~ p2(sK78(sK62))
| p2(X4)
| ~ r1(sK78(sK62),X4) )
| ~ spl435_23
| ~ spl435_171 ),
inference(resolution,[],[f3947,f1556]) ).
fof(f3947,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(X4,sK78(X4))
| r1(X0,sK67(X0))
| ~ r1(X1,X0)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ r1(sK3,X1)
| p2(X3)
| ~ r1(X2,X3)
| p2(X4)
| p2(X0)
| ~ r1(X1,X4) )
| ~ spl435_171 ),
inference(resolution,[],[f3915,f1470]) ).
fof(f3915,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP51(X0,X1)
| p2(X2)
| r1(X2,sK67(X2))
| ~ r1(X1,X2)
| ~ p2(X3)
| ~ r1(X1,X3)
| ~ r1(sK3,X1)
| p2(X4)
| ~ r1(X3,X4) )
| ~ spl435_171 ),
inference(resolution,[],[f3906,f1167]) ).
fof(f3906,plain,
( ! [X2,X3,X0,X1] :
( sP287(X3)
| ~ sP51(X1,X0)
| p2(X2)
| r1(X2,sK67(X2))
| ~ r1(X0,X2)
| ~ p2(X3)
| ~ r1(X0,X3)
| ~ r1(sK3,X0) )
| ~ spl435_171 ),
inference(resolution,[],[f3522,f1166]) ).
fof(f3522,plain,
( ! [X2,X0,X1] :
( sP38(X0)
| ~ r1(sK3,X0)
| ~ sP51(X1,X0)
| p2(X2)
| r1(X2,sK67(X2))
| ~ r1(X0,X2) )
| ~ spl435_171 ),
inference(resolution,[],[f2194,f1254]) ).
fof(f1254,plain,
! [X96,X93] :
( ~ sP208(X93)
| p2(X96)
| r1(X96,sK67(X96))
| ~ r1(X93,X96) ),
inference(consistent_polarity_flipping,[],[f568]) ).
fof(f568,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP208(X93) ),
inference(cnf_transformation,[],[f568_D]) ).
fof(f568_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96)) )
<=> ~ sP208(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP208])]) ).
fof(f2194,plain,
( ! [X103,X93] :
( sP208(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_171 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f4180,plain,
( spl435_524
| spl435_495
| ~ spl435_171
| ~ spl435_218
| ~ spl435_224
| ~ spl435_450 ),
inference(avatar_split_clause,[],[f4179,f3669,f2433,f2406,f2193,f3994,f4173]) ).
fof(f4179,plain,
( ! [X2,X0,X1] :
( p2(X0)
| r1(X0,sK67(X0))
| ~ r1(sK37,X0)
| ~ p2(X1)
| ~ r1(sK37,X1)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl435_171
| ~ spl435_218
| ~ spl435_224
| ~ spl435_450 ),
inference(subsumption_resolution,[],[f4168,f2434]) ).
fof(f4168,plain,
( ! [X2,X0,X1] :
( p2(X0)
| r1(X0,sK67(X0))
| ~ r1(sK37,X0)
| ~ p2(X1)
| ~ r1(sK37,X1)
| ~ r1(sK3,sK37)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl435_171
| ~ spl435_218
| ~ spl435_450 ),
inference(resolution,[],[f4139,f3915]) ).
fof(f4139,plain,
( sP51(sK62,sK37)
| ~ spl435_218
| ~ spl435_450 ),
inference(resolution,[],[f3670,f2407]) ).
fof(f4094,plain,
( spl435_450
| spl435_511
| spl435_220
| ~ spl435_455 ),
inference(avatar_split_clause,[],[f4090,f3686,f2415,f4092,f3669]) ).
fof(f4090,plain,
( ! [X0] :
( p2(sK82(sK62))
| ~ r1(X0,sK62)
| sP51(sK62,X0) )
| spl435_220
| ~ spl435_455 ),
inference(subsumption_resolution,[],[f4075,f2416]) ).
fof(f4075,plain,
( ! [X0] :
( p2(sK82(sK62))
| p2(sK62)
| ~ r1(X0,sK62)
| sP51(sK62,X0) )
| ~ spl435_455 ),
inference(resolution,[],[f3687,f1472]) ).
fof(f1472,plain,
! [X103,X93] :
( r1(sK78(X103),sK82(X103))
| p2(X103)
| ~ r1(X93,X103)
| sP51(X103,X93) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f28,plain,
! [X103,X93] :
( ~ r1(X93,X103)
| p2(X103)
| r1(sK78(X103),sK82(X103))
| ~ sP51(X103,X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3687,plain,
( ! [X0] :
( ~ r1(sK78(sK62),X0)
| p2(X0) )
| ~ spl435_455 ),
inference(avatar_component_clause,[],[f3686]) ).
fof(f3930,plain,
( spl435_450
| spl435_220
| spl435_456 ),
inference(avatar_split_clause,[],[f3929,f3689,f2415,f3669]) ).
fof(f3929,plain,
( ! [X0] :
( ~ r1(X0,sK62)
| sP51(sK62,X0) )
| spl435_220
| spl435_456 ),
inference(subsumption_resolution,[],[f3928,f2416]) ).
fof(f3928,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| sP51(sK62,X0) )
| spl435_456 ),
inference(resolution,[],[f3690,f1469]) ).
fof(f1469,plain,
! [X103,X93] :
( p2(sK78(X103))
| p2(X103)
| ~ r1(X93,X103)
| sP51(X103,X93) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f70,plain,
! [X103,X93] :
( ~ r1(X93,X103)
| p2(X103)
| p2(sK78(X103))
| ~ sP51(X103,X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3690,plain,
( ~ p2(sK78(sK62))
| spl435_456 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f3888,plain,
( ~ spl435_12
| spl435_418
| ~ spl435_419
| spl435_16
| ~ spl435_27
| ~ spl435_287 ),
inference(avatar_split_clause,[],[f3887,f2705,f1573,f1526,f3469,f3466,f1511]) ).
fof(f3466,plain,
( spl435_418
<=> ! [X0] :
( p2(X0)
| ~ r1(sK32(sK19),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_418])]) ).
fof(f3469,plain,
( spl435_419
<=> p2(sK32(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_419])]) ).
fof(f2705,plain,
( spl435_287
<=> ! [X135] :
( ~ r1(sK0,X135)
| r1(X135,sK32(X135))
| p2(X135) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_287])]) ).
fof(f3887,plain,
( ! [X0] :
( ~ p2(sK32(sK19))
| p2(X0)
| ~ r1(sK32(sK19),X0)
| ~ r1(sK0,sK19) )
| spl435_16
| ~ spl435_27
| ~ spl435_287 ),
inference(subsumption_resolution,[],[f3766,f1527]) ).
fof(f3766,plain,
( ! [X0] :
( ~ p2(sK32(sK19))
| p2(X0)
| ~ r1(sK32(sK19),X0)
| ~ r1(sK0,sK19)
| p2(sK19) )
| ~ spl435_27
| ~ spl435_287 ),
inference(resolution,[],[f1574,f2706]) ).
fof(f2706,plain,
( ! [X135] :
( r1(X135,sK32(X135))
| ~ r1(sK0,X135)
| p2(X135) )
| ~ spl435_287 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f3886,plain,
( ~ spl435_12
| spl435_16
| ~ spl435_257
| ~ spl435_260
| ~ spl435_418 ),
inference(avatar_contradiction_clause,[],[f3885]) ).
fof(f3885,plain,
( $false
| ~ spl435_12
| spl435_16
| ~ spl435_257
| ~ spl435_260
| ~ spl435_418 ),
inference(subsumption_resolution,[],[f3884,f1527]) ).
fof(f3884,plain,
( p2(sK19)
| ~ spl435_12
| spl435_16
| ~ spl435_257
| ~ spl435_260
| ~ spl435_418 ),
inference(subsumption_resolution,[],[f3883,f1512]) ).
fof(f3883,plain,
( ~ r1(sK0,sK19)
| p2(sK19)
| ~ spl435_12
| spl435_16
| ~ spl435_257
| ~ spl435_260
| ~ spl435_418 ),
inference(resolution,[],[f3821,f2589]) ).
fof(f3821,plain,
( p2(sK50(sK19))
| ~ spl435_12
| spl435_16
| ~ spl435_257
| ~ spl435_418 ),
inference(subsumption_resolution,[],[f3820,f1527]) ).
fof(f3820,plain,
( p2(sK50(sK19))
| p2(sK19)
| ~ spl435_12
| ~ spl435_257
| ~ spl435_418 ),
inference(subsumption_resolution,[],[f3804,f1512]) ).
fof(f3804,plain,
( p2(sK50(sK19))
| ~ r1(sK0,sK19)
| p2(sK19)
| ~ spl435_257
| ~ spl435_418 ),
inference(resolution,[],[f3467,f2577]) ).
fof(f3467,plain,
( ! [X0] :
( ~ r1(sK32(sK19),X0)
| p2(X0) )
| ~ spl435_418 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f3803,plain,
( spl435_23
| ~ spl435_28 ),
inference(avatar_split_clause,[],[f3636,f1578,f1555]) ).
fof(f1578,plain,
( spl435_28
<=> ! [X121] :
( p2(X121)
| sP377(X121) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_28])]) ).
fof(f3636,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ p2(X1)
| ~ r1(sK62,X1) )
| ~ spl435_28 ),
inference(resolution,[],[f1579,f1080]) ).
fof(f1080,plain,
! [X120,X121] :
( ~ sP377(X121)
| ~ r1(X120,X121)
| ~ p2(X120)
| ~ r1(sK62,X120) ),
inference(consistent_polarity_flipping,[],[f906]) ).
fof(f906,plain,
! [X120,X121] :
( ~ r1(sK62,X120)
| ~ r1(X120,X121)
| ~ p2(X120)
| sP377(X121) ),
inference(cnf_transformation,[],[f906_D]) ).
fof(f906_D,plain,
! [X121] :
( ! [X120] :
( ~ r1(sK62,X120)
| ~ r1(X120,X121)
| ~ p2(X120) )
<=> ~ sP377(X121) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP377])]) ).
fof(f1579,plain,
( ! [X121] :
( sP377(X121)
| p2(X121) )
| ~ spl435_28 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f3738,plain,
( spl435_462
| spl435_220
| spl435_449 ),
inference(avatar_split_clause,[],[f3713,f3665,f2415,f3736]) ).
fof(f3713,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| ~ sP214(X0) )
| spl435_449 ),
inference(resolution,[],[f3666,f1248]) ).
fof(f1248,plain,
! [X96,X93] :
( p2(sK67(X96))
| p2(X96)
| ~ r1(X93,X96)
| ~ sP214(X93) ),
inference(consistent_polarity_flipping,[],[f580]) ).
fof(f580,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP214(X93) ),
inference(cnf_transformation,[],[f580_D]) ).
fof(f580_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96)) )
<=> ~ sP214(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP214])]) ).
fof(f3666,plain,
( ~ p2(sK67(sK62))
| spl435_449 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f3734,plain,
( spl435_461
| spl435_220
| spl435_449 ),
inference(avatar_split_clause,[],[f3714,f3665,f2415,f3732]) ).
fof(f3714,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| ~ sP204(X0) )
| spl435_449 ),
inference(resolution,[],[f3666,f1256]) ).
fof(f1256,plain,
! [X96,X93] :
( p2(sK67(X96))
| p2(X96)
| ~ r1(X93,X96)
| ~ sP204(X93) ),
inference(consistent_polarity_flipping,[],[f560]) ).
fof(f560,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP204(X93) ),
inference(cnf_transformation,[],[f560_D]) ).
fof(f560_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96)) )
<=> ~ sP204(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP204])]) ).
fof(f3730,plain,
( spl435_447
| ~ spl435_168
| spl435_220
| spl435_449 ),
inference(avatar_split_clause,[],[f3729,f3665,f2415,f2181,f3659]) ).
fof(f2181,plain,
( spl435_168
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| ~ sP210(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_168])]) ).
fof(f3729,plain,
( ! [X0,X1] :
( ~ r1(X0,sK62)
| ~ r1(sK3,X0)
| sP38(X0)
| ~ sP51(X1,X0) )
| ~ spl435_168
| spl435_220
| spl435_449 ),
inference(resolution,[],[f3715,f2182]) ).
fof(f2182,plain,
( ! [X103,X93] :
( ~ sP210(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_168 ),
inference(avatar_component_clause,[],[f2181]) ).
fof(f3715,plain,
( ! [X0] :
( sP210(X0)
| ~ r1(X0,sK62) )
| spl435_220
| spl435_449 ),
inference(subsumption_resolution,[],[f3708,f2416]) ).
fof(f3708,plain,
( ! [X0] :
( p2(sK62)
| ~ r1(X0,sK62)
| sP210(X0) )
| spl435_449 ),
inference(resolution,[],[f3666,f572]) ).
fof(f572,plain,
! [X96,X93] :
( p2(sK67(X96))
| p2(X96)
| ~ r1(X93,X96)
| sP210(X93) ),
inference(cnf_transformation,[],[f572_D]) ).
fof(f572_D,plain,
! [X93] :
( ! [X96] :
( p2(sK67(X96))
| p2(X96)
| ~ r1(X93,X96) )
<=> ~ sP210(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP210])]) ).
fof(f3667,plain,
( spl435_447
| spl435_448
| ~ spl435_449
| ~ spl435_23
| ~ spl435_166
| spl435_220 ),
inference(avatar_split_clause,[],[f3657,f2415,f2172,f1555,f3665,f3662,f3659]) ).
fof(f2172,plain,
( spl435_166
<=> ! [X93,X103] :
( ~ r1(sK3,X93)
| sP212(X93)
| sP38(X93)
| ~ sP51(X103,X93) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_166])]) ).
fof(f3657,plain,
( ! [X2,X0,X1] :
( ~ p2(sK67(sK62))
| p2(X0)
| ~ r1(sK67(sK62),X0)
| sP38(X1)
| ~ sP51(X2,X1)
| ~ r1(sK3,X1)
| ~ r1(X1,sK62) )
| ~ spl435_23
| ~ spl435_166
| spl435_220 ),
inference(subsumption_resolution,[],[f3652,f2416]) ).
fof(f3652,plain,
( ! [X2,X0,X1] :
( ~ p2(sK67(sK62))
| p2(X0)
| ~ r1(sK67(sK62),X0)
| sP38(X1)
| ~ sP51(X2,X1)
| p2(sK62)
| ~ r1(sK3,X1)
| ~ r1(X1,sK62) )
| ~ spl435_23
| ~ spl435_166 ),
inference(resolution,[],[f1556,f3521]) ).
fof(f3521,plain,
( ! [X2,X0,X1] :
( r1(X2,sK67(X2))
| sP38(X0)
| ~ sP51(X1,X0)
| p2(X2)
| ~ r1(sK3,X0)
| ~ r1(X0,X2) )
| ~ spl435_166 ),
inference(resolution,[],[f2173,f1250]) ).
fof(f1250,plain,
! [X96,X93] :
( ~ sP212(X93)
| p2(X96)
| r1(X96,sK67(X96))
| ~ r1(X93,X96) ),
inference(consistent_polarity_flipping,[],[f576]) ).
fof(f576,plain,
! [X96,X93] :
( ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP212(X93) ),
inference(cnf_transformation,[],[f576_D]) ).
fof(f576_D,plain,
! [X93] :
( ! [X96] :
( ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96)) )
<=> ~ sP212(X93) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP212])]) ).
fof(f2173,plain,
( ! [X103,X93] :
( sP212(X93)
| ~ r1(sK3,X93)
| sP38(X93)
| ~ sP51(X103,X93) )
| ~ spl435_166 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f3635,plain,
( ~ spl435_22
| ~ spl435_222
| ~ spl435_289
| spl435_432 ),
inference(avatar_contradiction_clause,[],[f3634]) ).
fof(f3634,plain,
( $false
| ~ spl435_22
| ~ spl435_222
| ~ spl435_289
| spl435_432 ),
inference(subsumption_resolution,[],[f3633,f3520]) ).
fof(f3520,plain,
( ~ p2(sK3)
| ~ spl435_22 ),
inference(resolution,[],[f1553,f231]) ).
fof(f3633,plain,
( p2(sK3)
| ~ spl435_222
| ~ spl435_289
| spl435_432 ),
inference(subsumption_resolution,[],[f3632,f2425]) ).
fof(f3632,plain,
( ~ r1(sK0,sK3)
| p2(sK3)
| ~ spl435_289
| spl435_432 ),
inference(resolution,[],[f3572,f2715]) ).
fof(f2715,plain,
( ! [X135] :
( p2(sK32(X135))
| ~ r1(sK0,X135)
| p2(X135) )
| ~ spl435_289 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2714,plain,
( spl435_289
<=> ! [X135] :
( ~ r1(sK0,X135)
| p2(sK32(X135))
| p2(X135) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_289])]) ).
fof(f3572,plain,
( ~ p2(sK32(sK3))
| spl435_432 ),
inference(avatar_component_clause,[],[f3571]) ).
fof(f3571,plain,
( spl435_432
<=> p2(sK32(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_432])]) ).
fof(f3573,plain,
( spl435_431
| ~ spl435_432
| ~ spl435_22
| ~ spl435_222
| ~ spl435_287 ),
inference(avatar_split_clause,[],[f3566,f2705,f2424,f1552,f3571,f3568]) ).
fof(f3566,plain,
( ! [X0] :
( ~ p2(sK32(sK3))
| p2(X0)
| ~ r1(sK32(sK3),X0) )
| ~ spl435_22
| ~ spl435_222
| ~ spl435_287 ),
inference(subsumption_resolution,[],[f3565,f3520]) ).
fof(f3565,plain,
( ! [X0] :
( ~ p2(sK32(sK3))
| p2(X0)
| ~ r1(sK32(sK3),X0)
| p2(sK3) )
| ~ spl435_22
| ~ spl435_222
| ~ spl435_287 ),
inference(subsumption_resolution,[],[f3557,f2425]) ).
fof(f3557,plain,
( ! [X0] :
( ~ p2(sK32(sK3))
| p2(X0)
| ~ r1(sK32(sK3),X0)
| ~ r1(sK0,sK3)
| p2(sK3) )
| ~ spl435_22
| ~ spl435_287 ),
inference(resolution,[],[f3545,f2706]) ).
fof(f3545,plain,
( ! [X0,X1] :
( ~ r1(sK3,X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl435_22 ),
inference(resolution,[],[f3519,f1274]) ).
fof(f1274,plain,
! [X113,X114] :
( ~ sP190(X113)
| p2(X114)
| ~ r1(X113,X114) ),
inference(consistent_polarity_flipping,[],[f532]) ).
fof(f532,plain,
! [X113,X114] :
( ~ r1(X113,X114)
| p2(X114)
| sP190(X113) ),
inference(cnf_transformation,[],[f532_D]) ).
fof(f532_D,plain,
! [X113] :
( ! [X114] :
( ~ r1(X113,X114)
| p2(X114) )
<=> ~ sP190(X113) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP190])]) ).
fof(f3519,plain,
( ! [X0] :
( sP190(X0)
| ~ r1(sK3,X0)
| ~ p2(X0) )
| ~ spl435_22 ),
inference(resolution,[],[f1553,f1273]) ).
fof(f1273,plain,
! [X113,X92] :
( ~ sP34(X92)
| ~ p2(X113)
| ~ r1(X92,X113)
| sP190(X113) ),
inference(consistent_polarity_flipping,[],[f533]) ).
fof(f533,plain,
! [X113,X92] :
( ~ r1(X92,X113)
| ~ p2(X113)
| ~ sP34(X92)
| ~ sP190(X113) ),
inference(general_splitting,[],[f137,f532_D]) ).
fof(f137,plain,
! [X113,X114,X92] :
( ~ r1(X92,X113)
| ~ r1(X113,X114)
| p2(X114)
| ~ p2(X113)
| ~ sP34(X92) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3516,plain,
( spl435_16
| ~ spl435_12
| ~ spl435_289
| spl435_419 ),
inference(avatar_split_clause,[],[f3513,f3469,f2714,f1511,f1526]) ).
fof(f3513,plain,
( p2(sK19)
| ~ spl435_12
| ~ spl435_289
| spl435_419 ),
inference(subsumption_resolution,[],[f3512,f1512]) ).
fof(f3512,plain,
( ~ r1(sK0,sK19)
| p2(sK19)
| ~ spl435_289
| spl435_419 ),
inference(resolution,[],[f3470,f2715]) ).
fof(f3470,plain,
( ~ p2(sK32(sK19))
| spl435_419 ),
inference(avatar_component_clause,[],[f3469]) ).
fof(f3471,plain,
( spl435_418
| ~ spl435_419
| ~ spl435_12
| spl435_16
| ~ spl435_27
| ~ spl435_287 ),
inference(avatar_split_clause,[],[f3464,f2705,f1573,f1526,f1511,f3469,f3466]) ).
fof(f3464,plain,
( ! [X0] :
( ~ p2(sK32(sK19))
| p2(X0)
| ~ r1(sK32(sK19),X0) )
| ~ spl435_12
| spl435_16
| ~ spl435_27
| ~ spl435_287 ),
inference(subsumption_resolution,[],[f3463,f1527]) ).
fof(f3463,plain,
( ! [X0] :
( ~ p2(sK32(sK19))
| p2(X0)
| ~ r1(sK32(sK19),X0)
| p2(sK19) )
| ~ spl435_12
| ~ spl435_27
| ~ spl435_287 ),
inference(subsumption_resolution,[],[f3457,f1512]) ).
fof(f3457,plain,
( ! [X0] :
( ~ p2(sK32(sK19))
| p2(X0)
| ~ r1(sK32(sK19),X0)
| ~ r1(sK0,sK19)
| p2(sK19) )
| ~ spl435_27
| ~ spl435_287 ),
inference(resolution,[],[f1574,f2706]) ).
fof(f3446,plain,
( ~ spl435_13
| ~ spl435_312
| spl435_313 ),
inference(avatar_contradiction_clause,[],[f3445]) ).
fof(f3445,plain,
( $false
| ~ spl435_13
| ~ spl435_312
| spl435_313 ),
inference(subsumption_resolution,[],[f3444,f2820]) ).
fof(f2820,plain,
( ~ p2(sK15)
| spl435_313 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f2819,plain,
( spl435_313
<=> p2(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_313])]) ).
fof(f3444,plain,
( p2(sK15)
| ~ spl435_13
| ~ spl435_312 ),
inference(resolution,[],[f2815,f3415]) ).
fof(f3415,plain,
( ! [X0] :
( ~ r1(sK0,X0)
| p2(X0) )
| ~ spl435_13 ),
inference(duplicate_literal_removal,[],[f3413]) ).
fof(f3413,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK0,X0)
| ~ r1(sK0,X0)
| p2(X0)
| ~ r1(sK0,X0) )
| ~ spl435_13 ),
inference(resolution,[],[f3412,f295]) ).
fof(f295,plain,
! [X1] :
( r1(X1,sK17(X1))
| p2(X1)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3412,plain,
( ! [X0,X1] :
( ~ r1(X1,sK17(X0))
| p2(X0)
| ~ r1(sK0,X0)
| ~ r1(sK0,X1) )
| ~ spl435_13 ),
inference(resolution,[],[f3403,f1517]) ).
fof(f1517,plain,
( ! [X127] :
( sP35(X127)
| ~ r1(sK0,X127) )
| ~ spl435_13 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1516,plain,
( spl435_13
<=> ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_13])]) ).
fof(f3403,plain,
( ! [X0,X1] :
( ~ sP35(X1)
| p2(X0)
| ~ r1(X1,sK17(X0))
| ~ r1(sK0,X0) )
| ~ spl435_13 ),
inference(subsumption_resolution,[],[f3402,f296]) ).
fof(f296,plain,
! [X1] :
( ~ p2(sK17(X1))
| p2(X1)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3402,plain,
( ! [X0,X1] :
( ~ r1(sK0,X0)
| p2(X0)
| p2(sK17(X0))
| ~ r1(X1,sK17(X0))
| ~ sP35(X1) )
| ~ spl435_13 ),
inference(subsumption_resolution,[],[f3389,f72]) ).
fof(f72,plain,
! [X127,X128] :
( ~ p2(sK76(X128))
| p2(X128)
| ~ r1(X127,X128)
| ~ sP35(X127) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3389,plain,
( ! [X0,X1] :
( p2(sK76(sK17(X0)))
| ~ r1(sK0,X0)
| p2(X0)
| p2(sK17(X0))
| ~ r1(X1,sK17(X0))
| ~ sP35(X1) )
| ~ spl435_13 ),
inference(resolution,[],[f3386,f71]) ).
fof(f71,plain,
! [X127,X128] :
( r1(sK65(X128),sK76(X128))
| p2(X128)
| ~ r1(X127,X128)
| ~ sP35(X127) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3386,plain,
( ! [X0,X1] :
( ~ r1(sK65(sK17(X0)),X1)
| p2(X1)
| ~ r1(sK0,X0)
| p2(X0) )
| ~ spl435_13 ),
inference(duplicate_literal_removal,[],[f3384]) ).
fof(f3384,plain,
( ! [X0,X1] :
( ~ r1(sK65(sK17(X0)),X1)
| p2(X1)
| ~ r1(sK0,X0)
| p2(X0)
| ~ r1(sK0,X0)
| p2(X0)
| ~ r1(sK0,X0) )
| ~ spl435_13 ),
inference(resolution,[],[f3378,f295]) ).
fof(f3378,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK17(X0))
| ~ r1(sK65(sK17(X0)),X1)
| p2(X1)
| ~ r1(sK0,X0)
| p2(X0)
| ~ r1(sK0,X2) )
| ~ spl435_13 ),
inference(duplicate_literal_removal,[],[f3376]) ).
fof(f3376,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK65(sK17(X0)),X1)
| p2(X1)
| ~ r1(sK0,X0)
| ~ r1(X2,sK17(X0))
| ~ r1(sK0,X0)
| ~ r1(sK0,X2)
| p2(X0)
| ~ r1(sK0,X0) )
| ~ spl435_13 ),
inference(resolution,[],[f3374,f295]) ).
fof(f3374,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X2,sK17(X1))
| p2(X1)
| ~ r1(sK65(sK17(X1)),X0)
| p2(X0)
| ~ r1(sK0,X2)
| ~ r1(X3,sK17(X1))
| ~ r1(sK0,X1)
| ~ r1(sK0,X3) )
| ~ spl435_13 ),
inference(resolution,[],[f3371,f1517]) ).
fof(f3371,plain,
( ! [X2,X3,X0,X1] :
( ~ sP35(X3)
| p2(X1)
| p2(X0)
| ~ r1(sK65(sK17(X0)),X1)
| ~ r1(X2,sK17(X0))
| ~ r1(sK0,X2)
| ~ r1(X3,sK17(X0))
| ~ r1(sK0,X0) )
| ~ spl435_13 ),
inference(subsumption_resolution,[],[f3370,f296]) ).
fof(f3370,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK0,X0)
| p2(X1)
| p2(X0)
| ~ r1(sK65(sK17(X0)),X1)
| ~ r1(X2,sK17(X0))
| ~ r1(sK0,X2)
| p2(sK17(X0))
| ~ r1(X3,sK17(X0))
| ~ sP35(X3) )
| ~ spl435_13 ),
inference(resolution,[],[f3358,f139]) ).
fof(f139,plain,
! [X127,X128] :
( p2(sK65(X128))
| p2(X128)
| ~ r1(X127,X128)
| ~ sP35(X127) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3358,plain,
( ! [X2,X0,X1] :
( ~ p2(sK65(sK17(X0)))
| ~ r1(sK0,X0)
| p2(X1)
| p2(X0)
| ~ r1(sK65(sK17(X0)),X1)
| ~ r1(X2,sK17(X0))
| ~ r1(sK0,X2) )
| ~ spl435_13 ),
inference(subsumption_resolution,[],[f3353,f296]) ).
fof(f3353,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK0,X0)
| p2(X1)
| ~ p2(sK65(sK17(X0)))
| ~ r1(sK65(sK17(X0)),X1)
| p2(sK17(X0))
| ~ r1(X2,sK17(X0))
| ~ r1(sK0,X2) )
| ~ spl435_13 ),
inference(resolution,[],[f3171,f3170]) ).
fof(f3170,plain,
( ! [X0,X1] :
( r1(X0,sK65(X0))
| p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK0,X1) )
| ~ spl435_13 ),
inference(resolution,[],[f138,f1517]) ).
fof(f138,plain,
! [X127,X128] :
( ~ sP35(X127)
| p2(X128)
| r1(X128,sK65(X128))
| ~ r1(X127,X128) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3171,plain,
! [X2,X0,X1] :
( ~ r1(sK17(X0),X1)
| p2(X0)
| ~ r1(sK0,X0)
| p2(X2)
| ~ p2(X1)
| ~ r1(X1,X2) ),
inference(resolution,[],[f452,f453]) ).
fof(f453,plain,
! [X3,X4] :
( ~ sP150(X3)
| p2(X4)
| ~ p2(X3)
| ~ r1(X3,X4) ),
inference(general_splitting,[],[f179,f452_D]) ).
fof(f179,plain,
! [X3,X1,X4] :
( ~ r1(sK0,X1)
| p2(X1)
| ~ r1(sK17(X1),X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f452,plain,
! [X3,X1] :
( sP150(X3)
| p2(X1)
| ~ r1(sK17(X1),X3)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f452_D]) ).
fof(f452_D,plain,
! [X3] :
( ! [X1] :
( p2(X1)
| ~ r1(sK17(X1),X3)
| ~ r1(sK0,X1) )
<=> ~ sP150(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP150])]) ).
fof(f2815,plain,
( r1(sK0,sK15)
| ~ spl435_312 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f2814,plain,
( spl435_312
<=> r1(sK0,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_312])]) ).
fof(f3437,plain,
( ~ spl435_13
| spl435_296
| ~ spl435_297 ),
inference(avatar_contradiction_clause,[],[f3436]) ).
fof(f3436,plain,
( $false
| ~ spl435_13
| spl435_296
| ~ spl435_297 ),
inference(subsumption_resolution,[],[f3423,f2751]) ).
fof(f2751,plain,
( ~ p2(sK13)
| spl435_296 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f2750,plain,
( spl435_296
<=> p2(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_296])]) ).
fof(f3423,plain,
( p2(sK13)
| ~ spl435_13
| ~ spl435_297 ),
inference(resolution,[],[f3415,f2755]) ).
fof(f2755,plain,
( r1(sK0,sK13)
| ~ spl435_297 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f2754,plain,
( spl435_297
<=> r1(sK0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_297])]) ).
fof(f3227,plain,
( ~ spl435_222
| spl435_391
| ~ spl435_392
| ~ spl435_22
| ~ spl435_293 ),
inference(avatar_split_clause,[],[f3220,f2737,f1552,f3225,f3222,f2424]) ).
fof(f3220,plain,
( ! [X0] :
( ~ p2(sK30(sK3))
| p2(X0)
| ~ r1(sK30(sK3),X0)
| ~ r1(sK0,sK3) )
| ~ spl435_22
| ~ spl435_293 ),
inference(subsumption_resolution,[],[f3190,f3178]) ).
fof(f3178,plain,
( ~ p2(sK3)
| ~ spl435_22 ),
inference(resolution,[],[f1553,f231]) ).
fof(f3190,plain,
( ! [X0] :
( ~ p2(sK30(sK3))
| p2(X0)
| ~ r1(sK30(sK3),X0)
| ~ r1(sK0,sK3)
| p2(sK3) )
| ~ spl435_22
| ~ spl435_293 ),
inference(resolution,[],[f3184,f2738]) ).
fof(f3184,plain,
( ! [X0,X1] :
( ~ r1(sK3,X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl435_22 ),
inference(resolution,[],[f3177,f1274]) ).
fof(f3177,plain,
( ! [X0] :
( sP190(X0)
| ~ r1(sK3,X0)
| ~ p2(X0) )
| ~ spl435_22 ),
inference(resolution,[],[f1553,f1273]) ).
fof(f3112,plain,
( ~ spl435_258
| ~ spl435_262
| ~ spl435_265 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl435_258
| ~ spl435_262
| ~ spl435_265 ),
inference(subsumption_resolution,[],[f3110,f321]) ).
fof(f3110,plain,
( ~ r1(sK0,sK0)
| ~ spl435_258
| ~ spl435_262
| ~ spl435_265 ),
inference(duplicate_literal_removal,[],[f3109]) ).
fof(f3109,plain,
( ~ r1(sK0,sK0)
| ~ r1(sK0,sK0)
| ~ spl435_258
| ~ spl435_262
| ~ spl435_265 ),
inference(resolution,[],[f3108,f2582]) ).
fof(f2582,plain,
( ! [X139] :
( r1(X139,sK18(X139))
| ~ r1(sK0,X139) )
| ~ spl435_258 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f2581,plain,
( spl435_258
<=> ! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_258])]) ).
fof(f3108,plain,
( ! [X0] :
( ~ r1(sK0,sK18(X0))
| ~ r1(sK0,X0) )
| ~ spl435_262
| ~ spl435_265 ),
inference(resolution,[],[f2600,f2613]) ).
fof(f2613,plain,
( ! [X149] :
( ~ p5(X149)
| ~ r1(sK0,X149) )
| ~ spl435_265 ),
inference(avatar_component_clause,[],[f2612]) ).
fof(f2612,plain,
( spl435_265
<=> ! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_265])]) ).
fof(f2600,plain,
( ! [X139] :
( p5(sK18(X139))
| ~ r1(sK0,X139) )
| ~ spl435_262 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f2599,plain,
( spl435_262
<=> ! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl435_262])]) ).
fof(f3069,plain,
( spl435_22
| spl435_218
| ~ spl435_16
| spl435_13 ),
inference(avatar_split_clause,[],[f166,f1516,f1526,f2406,f1552]) ).
fof(f166,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| r1(sK37,sK62)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3068,plain,
( spl435_22
| ~ spl435_220
| ~ spl435_16
| spl435_13 ),
inference(avatar_split_clause,[],[f167,f1516,f1526,f2415,f1552]) ).
fof(f167,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ p2(sK62)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3067,plain,
( spl435_22
| spl435_218
| spl435_12
| spl435_13 ),
inference(avatar_split_clause,[],[f168,f1516,f1511,f2406,f1552]) ).
fof(f168,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| r1(sK37,sK62)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3066,plain,
( spl435_22
| ~ spl435_220
| spl435_12
| spl435_13 ),
inference(avatar_split_clause,[],[f169,f1516,f1511,f2415,f1552]) ).
fof(f169,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ p2(sK62)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3015,plain,
( spl435_22
| spl435_224
| spl435_12
| spl435_13 ),
inference(avatar_split_clause,[],[f225,f1516,f1511,f2433,f1552]) ).
fof(f225,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| r1(sK3,sK37)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f3014,plain,
( spl435_22
| spl435_224
| ~ spl435_16
| spl435_13 ),
inference(avatar_split_clause,[],[f226,f1516,f1526,f2433,f1552]) ).
fof(f226,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| r1(sK3,sK37)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2824,plain,
( spl435_222
| spl435_12
| spl435_13 ),
inference(avatar_split_clause,[],[f289,f1516,f1511,f2424]) ).
fof(f289,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| r1(sK0,sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2823,plain,
( spl435_222
| ~ spl435_16
| spl435_13 ),
inference(avatar_split_clause,[],[f290,f1516,f1526,f2424]) ).
fof(f290,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| r1(sK0,sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2822,plain,
( ~ spl435_313
| spl435_258 ),
inference(avatar_split_clause,[],[f291,f2581,f2819]) ).
fof(f291,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| ~ p2(sK15) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2821,plain,
( ~ spl435_313
| spl435_262 ),
inference(avatar_split_clause,[],[f292,f2599,f2819]) ).
fof(f292,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ p2(sK15) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2817,plain,
( spl435_312
| spl435_258 ),
inference(avatar_split_clause,[],[f293,f2581,f2814]) ).
fof(f293,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| r1(sK0,sK15) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2816,plain,
( spl435_312
| spl435_262 ),
inference(avatar_split_clause,[],[f294,f2599,f2814]) ).
fof(f294,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| r1(sK0,sK15) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2756,plain,
( spl435_297
| spl435_265 ),
inference(avatar_split_clause,[],[f315,f2612,f2754]) ).
fof(f315,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| r1(sK0,sK13) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2752,plain,
( ~ spl435_296
| spl435_265 ),
inference(avatar_split_clause,[],[f316,f2612,f2750]) ).
fof(f316,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ p2(sK13) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2748,plain,
( ~ spl435_294
| spl435_295 ),
inference(avatar_split_clause,[],[f1387,f2746,f2741]) ).
fof(f2741,plain,
( spl435_294
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_294])]) ).
fof(f1387,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| p2(sK30(X145))
| ~ sP85 ),
inference(consistent_polarity_flipping,[],[f322]) ).
fof(f322,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| p2(sK30(X145))
| sP85 ),
inference(cnf_transformation,[],[f322_D]) ).
fof(f322_D,plain,
( ! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| p2(sK30(X145)) )
<=> ~ sP85 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP85])]) ).
fof(f2743,plain,
( spl435_294
| spl435_265 ),
inference(avatar_split_clause,[],[f1386,f2612,f2741]) ).
fof(f1386,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| sP85 ),
inference(consistent_polarity_flipping,[],[f323]) ).
fof(f323,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ sP85 ),
inference(general_splitting,[],[f241,f322_D]) ).
fof(f241,plain,
! [X145,X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ r1(sK0,X145)
| p2(X145)
| p2(sK30(X145)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2739,plain,
( ~ spl435_292
| spl435_293 ),
inference(avatar_split_clause,[],[f1385,f2737,f2732]) ).
fof(f2732,plain,
( spl435_292
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_292])]) ).
fof(f1385,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| r1(X145,sK30(X145))
| ~ sP86 ),
inference(consistent_polarity_flipping,[],[f324]) ).
fof(f324,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| r1(X145,sK30(X145))
| sP86 ),
inference(cnf_transformation,[],[f324_D]) ).
fof(f324_D,plain,
( ! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| r1(X145,sK30(X145)) )
<=> ~ sP86 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP86])]) ).
fof(f2734,plain,
( spl435_292
| spl435_265 ),
inference(avatar_split_clause,[],[f1384,f2612,f2732]) ).
fof(f1384,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| sP86 ),
inference(consistent_polarity_flipping,[],[f325]) ).
fof(f325,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ sP86 ),
inference(general_splitting,[],[f240,f324_D]) ).
fof(f240,plain,
! [X145,X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ r1(sK0,X145)
| p2(X145)
| r1(X145,sK30(X145)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2730,plain,
( spl435_291
| spl435_258 ),
inference(avatar_split_clause,[],[f326,f2581,f2726]) ).
fof(f2726,plain,
( spl435_291
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_291])]) ).
fof(f326,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| sP87 ),
inference(cnf_transformation,[],[f326_D]) ).
fof(f326_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139)) )
<=> ~ sP87 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP87])]) ).
fof(f2728,plain,
( ~ spl435_291
| spl435_289 ),
inference(avatar_split_clause,[],[f327,f2714,f2726]) ).
fof(f327,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| p2(sK32(X135))
| ~ sP87 ),
inference(general_splitting,[],[f237,f326_D]) ).
fof(f237,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| p2(sK32(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2724,plain,
( spl435_290
| spl435_258 ),
inference(avatar_split_clause,[],[f328,f2581,f2720]) ).
fof(f2720,plain,
( spl435_290
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_290])]) ).
fof(f328,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| sP88 ),
inference(cnf_transformation,[],[f328_D]) ).
fof(f328_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139)) )
<=> ~ sP88 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP88])]) ).
fof(f2722,plain,
( ~ spl435_290
| spl435_287 ),
inference(avatar_split_clause,[],[f329,f2705,f2720]) ).
fof(f329,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| r1(X135,sK32(X135))
| ~ sP88 ),
inference(general_splitting,[],[f236,f328_D]) ).
fof(f236,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| r1(X135,sK32(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2718,plain,
( ~ spl435_288
| spl435_262 ),
inference(avatar_split_clause,[],[f1383,f2599,f2711]) ).
fof(f2711,plain,
( spl435_288
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_288])]) ).
fof(f1383,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ sP89 ),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f330,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| sP89 ),
inference(cnf_transformation,[],[f330_D]) ).
fof(f330_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139)) )
<=> ~ sP89 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP89])]) ).
fof(f2716,plain,
( spl435_288
| spl435_289 ),
inference(avatar_split_clause,[],[f1382,f2714,f2711]) ).
fof(f1382,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| p2(sK32(X135))
| sP89 ),
inference(consistent_polarity_flipping,[],[f331]) ).
fof(f331,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| p2(sK32(X135))
| ~ sP89 ),
inference(general_splitting,[],[f235,f330_D]) ).
fof(f235,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| p2(sK32(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2709,plain,
( spl435_286
| spl435_262 ),
inference(avatar_split_clause,[],[f332,f2599,f2702]) ).
fof(f2702,plain,
( spl435_286
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_286])]) ).
fof(f332,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| sP90 ),
inference(cnf_transformation,[],[f332_D]) ).
fof(f332_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139)) )
<=> ~ sP90 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP90])]) ).
fof(f2707,plain,
( ~ spl435_286
| spl435_287 ),
inference(avatar_split_clause,[],[f333,f2705,f2702]) ).
fof(f333,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| r1(X135,sK32(X135))
| ~ sP90 ),
inference(general_splitting,[],[f234,f332_D]) ).
fof(f234,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| r1(X135,sK32(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2628,plain,
( ~ spl435_267
| spl435_268 ),
inference(avatar_split_clause,[],[f1355,f2626,f2621]) ).
fof(f2621,plain,
( spl435_267
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_267])]) ).
fof(f1355,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| ~ p2(sK49(X145))
| ~ sP112 ),
inference(consistent_polarity_flipping,[],[f376]) ).
fof(f376,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| ~ p2(sK49(X145))
| sP112 ),
inference(cnf_transformation,[],[f376_D]) ).
fof(f376_D,plain,
( ! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| ~ p2(sK49(X145)) )
<=> ~ sP112 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP112])]) ).
fof(f2623,plain,
( spl435_267
| spl435_265 ),
inference(avatar_split_clause,[],[f1354,f2612,f2621]) ).
fof(f1354,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| sP112 ),
inference(consistent_polarity_flipping,[],[f377]) ).
fof(f377,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ sP112 ),
inference(general_splitting,[],[f201,f376_D]) ).
fof(f201,plain,
! [X145,X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ r1(sK0,X145)
| p2(X145)
| ~ p2(sK49(X145)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2619,plain,
( ~ spl435_264
| spl435_266 ),
inference(avatar_split_clause,[],[f1353,f2617,f2609]) ).
fof(f2609,plain,
( spl435_264
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_264])]) ).
fof(f1353,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| r1(sK30(X145),sK49(X145))
| ~ sP113 ),
inference(consistent_polarity_flipping,[],[f378]) ).
fof(f378,plain,
! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| r1(sK30(X145),sK49(X145))
| sP113 ),
inference(cnf_transformation,[],[f378_D]) ).
fof(f378_D,plain,
( ! [X145] :
( ~ r1(sK0,X145)
| p2(X145)
| r1(sK30(X145),sK49(X145)) )
<=> ~ sP113 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP113])]) ).
fof(f2614,plain,
( spl435_264
| spl435_265 ),
inference(avatar_split_clause,[],[f1352,f2612,f2609]) ).
fof(f1352,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| sP113 ),
inference(consistent_polarity_flipping,[],[f379]) ).
fof(f379,plain,
! [X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ sP113 ),
inference(general_splitting,[],[f200,f378_D]) ).
fof(f200,plain,
! [X145,X149] :
( ~ r1(sK0,X149)
| ~ p5(X149)
| ~ r1(sK0,X145)
| p2(X145)
| r1(sK30(X145),sK49(X145)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2607,plain,
( ~ spl435_263
| spl435_262 ),
inference(avatar_split_clause,[],[f1351,f2599,f2603]) ).
fof(f2603,plain,
( spl435_263
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_263])]) ).
fof(f1351,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ sP114 ),
inference(consistent_polarity_flipping,[],[f380]) ).
fof(f380,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| sP114 ),
inference(cnf_transformation,[],[f380_D]) ).
fof(f380_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139)) )
<=> ~ sP114 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP114])]) ).
fof(f2605,plain,
( spl435_263
| spl435_260 ),
inference(avatar_split_clause,[],[f1350,f2588,f2603]) ).
fof(f1350,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| ~ p2(sK50(X135))
| sP114 ),
inference(consistent_polarity_flipping,[],[f381]) ).
fof(f381,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| ~ p2(sK50(X135))
| ~ sP114 ),
inference(general_splitting,[],[f199,f380_D]) ).
fof(f199,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| ~ p2(sK50(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2601,plain,
( spl435_261
| spl435_262 ),
inference(avatar_split_clause,[],[f382,f2599,f2594]) ).
fof(f2594,plain,
( spl435_261
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_261])]) ).
fof(f382,plain,
! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| sP115 ),
inference(cnf_transformation,[],[f382_D]) ).
fof(f382_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| p5(sK18(X139)) )
<=> ~ sP115 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP115])]) ).
fof(f2596,plain,
( ~ spl435_261
| spl435_257 ),
inference(avatar_split_clause,[],[f383,f2576,f2594]) ).
fof(f383,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| r1(sK32(X135),sK50(X135))
| ~ sP115 ),
inference(general_splitting,[],[f198,f382_D]) ).
fof(f198,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| p5(sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| r1(sK32(X135),sK50(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2592,plain,
( ~ spl435_259
| spl435_258 ),
inference(avatar_split_clause,[],[f1349,f2581,f2585]) ).
fof(f2585,plain,
( spl435_259
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_259])]) ).
fof(f1349,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| ~ sP116 ),
inference(consistent_polarity_flipping,[],[f384]) ).
fof(f384,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| sP116 ),
inference(cnf_transformation,[],[f384_D]) ).
fof(f384_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139)) )
<=> ~ sP116 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP116])]) ).
fof(f2590,plain,
( spl435_259
| spl435_260 ),
inference(avatar_split_clause,[],[f1348,f2588,f2585]) ).
fof(f1348,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| ~ p2(sK50(X135))
| sP116 ),
inference(consistent_polarity_flipping,[],[f385]) ).
fof(f385,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| ~ p2(sK50(X135))
| ~ sP116 ),
inference(general_splitting,[],[f197,f384_D]) ).
fof(f197,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| ~ p2(sK50(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2583,plain,
( spl435_256
| spl435_258 ),
inference(avatar_split_clause,[],[f386,f2581,f2573]) ).
fof(f2573,plain,
( spl435_256
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_256])]) ).
fof(f386,plain,
! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| sP117 ),
inference(cnf_transformation,[],[f386_D]) ).
fof(f386_D,plain,
( ! [X139] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139)) )
<=> ~ sP117 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP117])]) ).
fof(f2578,plain,
( ~ spl435_256
| spl435_257 ),
inference(avatar_split_clause,[],[f387,f2576,f2573]) ).
fof(f387,plain,
! [X135] :
( ~ r1(sK0,X135)
| p2(X135)
| r1(sK32(X135),sK50(X135))
| ~ sP117 ),
inference(general_splitting,[],[f196,f386_D]) ).
fof(f196,plain,
! [X139,X135] :
( ~ r1(sK0,X139)
| r1(X139,sK18(X139))
| ~ r1(sK0,X135)
| p2(X135)
| r1(sK32(X135),sK50(X135)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2437,plain,
( spl435_223
| spl435_13 ),
inference(avatar_split_clause,[],[f460,f1516,f2430]) ).
fof(f2430,plain,
( spl435_223
<=> sP154 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_223])]) ).
fof(f460,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP154 ),
inference(cnf_transformation,[],[f460_D]) ).
fof(f460_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP154 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP154])]) ).
fof(f2435,plain,
( ~ spl435_223
| spl435_22
| spl435_224
| spl435_27 ),
inference(avatar_split_clause,[],[f461,f1573,f2433,f1552,f2430]) ).
fof(f461,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK3,sK37)
| sP34(sK3)
| ~ sP154 ),
inference(general_splitting,[],[f177,f460_D]) ).
fof(f177,plain,
! [X126,X127,X125] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK3,sK37)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2428,plain,
( ~ spl435_221
| spl435_13 ),
inference(avatar_split_clause,[],[f1309,f1516,f2421]) ).
fof(f2421,plain,
( spl435_221
<=> sP155 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_221])]) ).
fof(f1309,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP155 ),
inference(consistent_polarity_flipping,[],[f462]) ).
fof(f462,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP155 ),
inference(cnf_transformation,[],[f462_D]) ).
fof(f462_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP155 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP155])]) ).
fof(f2426,plain,
( spl435_221
| spl435_222
| spl435_27 ),
inference(avatar_split_clause,[],[f1308,f1573,f2424,f2421]) ).
fof(f1308,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK0,sK3)
| sP155 ),
inference(consistent_polarity_flipping,[],[f463]) ).
fof(f463,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK0,sK3)
| ~ sP155 ),
inference(general_splitting,[],[f176,f462_D]) ).
fof(f176,plain,
! [X126,X127,X125] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK0,sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2419,plain,
( spl435_219
| spl435_13 ),
inference(avatar_split_clause,[],[f464,f1516,f2412]) ).
fof(f2412,plain,
( spl435_219
<=> sP156 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_219])]) ).
fof(f464,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP156 ),
inference(cnf_transformation,[],[f464_D]) ).
fof(f464_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP156 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP156])]) ).
fof(f2417,plain,
( ~ spl435_219
| spl435_22
| ~ spl435_220
| spl435_27 ),
inference(avatar_split_clause,[],[f465,f1573,f2415,f1552,f2412]) ).
fof(f465,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ p2(sK62)
| sP34(sK3)
| ~ sP156 ),
inference(general_splitting,[],[f175,f464_D]) ).
fof(f175,plain,
! [X126,X127,X125] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ p2(sK62)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2410,plain,
( spl435_217
| spl435_13 ),
inference(avatar_split_clause,[],[f466,f1516,f2403]) ).
fof(f2403,plain,
( spl435_217
<=> sP157 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_217])]) ).
fof(f466,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP157 ),
inference(cnf_transformation,[],[f466_D]) ).
fof(f466_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP157 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP157])]) ).
fof(f2408,plain,
( ~ spl435_217
| spl435_22
| spl435_218
| spl435_27 ),
inference(avatar_split_clause,[],[f467,f1573,f2406,f1552,f2403]) ).
fof(f467,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK37,sK62)
| sP34(sK3)
| ~ sP157 ),
inference(general_splitting,[],[f174,f466_D]) ).
fof(f174,plain,
! [X126,X127,X125] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| r1(sK37,sK62)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2401,plain,
( ~ spl435_216
| spl435_13 ),
inference(avatar_split_clause,[],[f1307,f1516,f2395]) ).
fof(f2395,plain,
( spl435_216
<=> sP158 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_216])]) ).
fof(f1307,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP158 ),
inference(consistent_polarity_flipping,[],[f468]) ).
fof(f468,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP158 ),
inference(cnf_transformation,[],[f468_D]) ).
fof(f468_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP158 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP158])]) ).
fof(f2399,plain,
( spl435_215
| spl435_210 ),
inference(avatar_split_clause,[],[f470,f2363,f2392]) ).
fof(f2392,plain,
( spl435_215
<=> sP159 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_215])]) ).
fof(f470,plain,
! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP159 ),
inference(cnf_transformation,[],[f470_D]) ).
fof(f470_D,plain,
( ! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115)) )
<=> ~ sP159 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP159])]) ).
fof(f2397,plain,
( ~ spl435_215
| spl435_216
| spl435_22
| spl435_27 ),
inference(avatar_split_clause,[],[f1306,f1573,f1552,f2395,f2392]) ).
fof(f1306,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| sP158
| ~ sP159 ),
inference(consistent_polarity_flipping,[],[f471]) ).
fof(f471,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| ~ sP158
| ~ sP159 ),
inference(general_splitting,[],[f469,f470_D]) ).
fof(f469,plain,
! [X126,X125,X115] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3)
| ~ sP158 ),
inference(general_splitting,[],[f161,f468_D]) ).
fof(f161,plain,
! [X126,X127,X125,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2390,plain,
( spl435_214
| spl435_13 ),
inference(avatar_split_clause,[],[f472,f1516,f2384]) ).
fof(f2384,plain,
( spl435_214
<=> sP160 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_214])]) ).
fof(f472,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP160 ),
inference(cnf_transformation,[],[f472_D]) ).
fof(f472_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP160 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP160])]) ).
fof(f2388,plain,
( spl435_213
| spl435_208 ),
inference(avatar_split_clause,[],[f474,f2354,f2381]) ).
fof(f2381,plain,
( spl435_213
<=> sP161 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_213])]) ).
fof(f474,plain,
! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP161 ),
inference(cnf_transformation,[],[f474_D]) ).
fof(f474_D,plain,
( ! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115)) )
<=> ~ sP161 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP161])]) ).
fof(f2386,plain,
( ~ spl435_213
| ~ spl435_214
| spl435_22
| spl435_27 ),
inference(avatar_split_clause,[],[f475,f1573,f1552,f2384,f2381]) ).
fof(f475,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| ~ sP160
| ~ sP161 ),
inference(general_splitting,[],[f473,f474_D]) ).
fof(f473,plain,
! [X126,X125,X115] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3)
| ~ sP160 ),
inference(general_splitting,[],[f160,f472_D]) ).
fof(f160,plain,
! [X126,X127,X125,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2379,plain,
( ~ spl435_212
| spl435_13 ),
inference(avatar_split_clause,[],[f1305,f1516,f2375]) ).
fof(f2375,plain,
( spl435_212
<=> sP162 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_212])]) ).
fof(f1305,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP162 ),
inference(consistent_polarity_flipping,[],[f476]) ).
fof(f476,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP162 ),
inference(cnf_transformation,[],[f476_D]) ).
fof(f476_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP162 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP162])]) ).
fof(f2377,plain,
( spl435_212
| spl435_22
| spl435_210
| spl435_12 ),
inference(avatar_split_clause,[],[f1304,f1511,f2363,f1552,f2375]) ).
fof(f1304,plain,
! [X115] :
( r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3)
| sP162 ),
inference(consistent_polarity_flipping,[],[f477]) ).
fof(f477,plain,
! [X115] :
( r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3)
| ~ sP162 ),
inference(general_splitting,[],[f155,f476_D]) ).
fof(f155,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2373,plain,
( spl435_211
| spl435_13 ),
inference(avatar_split_clause,[],[f478,f1516,f2369]) ).
fof(f2369,plain,
( spl435_211
<=> sP163 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_211])]) ).
fof(f478,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP163 ),
inference(cnf_transformation,[],[f478_D]) ).
fof(f478_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP163 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP163])]) ).
fof(f2371,plain,
( ~ spl435_211
| spl435_22
| spl435_208
| spl435_12 ),
inference(avatar_split_clause,[],[f479,f1511,f2354,f1552,f2369]) ).
fof(f479,plain,
! [X115] :
( r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3)
| ~ sP163 ),
inference(general_splitting,[],[f154,f478_D]) ).
fof(f154,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2367,plain,
( spl435_209
| spl435_13 ),
inference(avatar_split_clause,[],[f480,f1516,f2360]) ).
fof(f2360,plain,
( spl435_209
<=> sP164 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_209])]) ).
fof(f480,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP164 ),
inference(cnf_transformation,[],[f480_D]) ).
fof(f480_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP164 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP164])]) ).
fof(f2365,plain,
( ~ spl435_209
| spl435_22
| spl435_210
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f481,f1526,f2363,f1552,f2360]) ).
fof(f481,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3)
| ~ sP164 ),
inference(general_splitting,[],[f153,f480_D]) ).
fof(f153,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| p2(sK63(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2358,plain,
( ~ spl435_207
| spl435_13 ),
inference(avatar_split_clause,[],[f1303,f1516,f2351]) ).
fof(f2351,plain,
( spl435_207
<=> sP165 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_207])]) ).
fof(f1303,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP165 ),
inference(consistent_polarity_flipping,[],[f482]) ).
fof(f482,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP165 ),
inference(cnf_transformation,[],[f482_D]) ).
fof(f482_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP165 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP165])]) ).
fof(f2356,plain,
( spl435_207
| spl435_22
| spl435_208
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1302,f1526,f2354,f1552,f2351]) ).
fof(f1302,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3)
| sP165 ),
inference(consistent_polarity_flipping,[],[f483]) ).
fof(f483,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3)
| ~ sP165 ),
inference(general_splitting,[],[f152,f482_D]) ).
fof(f152,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(X115,sK63(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2219,plain,
( ~ spl435_174
| spl435_13 ),
inference(avatar_split_clause,[],[f1259,f1516,f2207]) ).
fof(f2207,plain,
( spl435_174
<=> sP201 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_174])]) ).
fof(f1259,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP201 ),
inference(consistent_polarity_flipping,[],[f554]) ).
fof(f554,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP201 ),
inference(cnf_transformation,[],[f554_D]) ).
fof(f554_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP201 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP201])]) ).
fof(f2217,plain,
( ~ spl435_173
| spl435_176 ),
inference(avatar_split_clause,[],[f1257,f2215,f2204]) ).
fof(f2204,plain,
( spl435_173
<=> sP203 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_173])]) ).
fof(f1257,plain,
! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| sP202(X125)
| ~ sP203 ),
inference(consistent_polarity_flipping,[],[f558]) ).
fof(f558,plain,
! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP202(X125)
| sP203 ),
inference(cnf_transformation,[],[f558_D]) ).
fof(f558_D,plain,
( ! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP202(X125) )
<=> ~ sP203 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP203])]) ).
fof(f2212,plain,
( spl435_173
| spl435_174
| spl435_175 ),
inference(avatar_split_clause,[],[f1255,f2210,f2207,f2204]) ).
fof(f1255,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| sP201
| sP203
| sP204(X93) ),
inference(consistent_polarity_flipping,[],[f561]) ).
fof(f561,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP201
| ~ sP203
| ~ sP204(X93) ),
inference(general_splitting,[],[f559,f560_D]) ).
fof(f559,plain,
! [X96,X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93)
| ~ sP201
| ~ sP203 ),
inference(general_splitting,[],[f557,f558_D]) ).
fof(f557,plain,
! [X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93)
| ~ sP201
| ~ sP202(X125) ),
inference(general_splitting,[],[f555,f556_D]) ).
fof(f555,plain,
! [X126,X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93)
| ~ sP201 ),
inference(general_splitting,[],[f122,f554_D]) ).
fof(f122,plain,
! [X126,X127,X125,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2202,plain,
( spl435_170
| spl435_13 ),
inference(avatar_split_clause,[],[f562,f1516,f2190]) ).
fof(f2190,plain,
( spl435_170
<=> sP205 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_170])]) ).
fof(f562,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP205 ),
inference(cnf_transformation,[],[f562_D]) ).
fof(f562_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP205 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP205])]) ).
fof(f2200,plain,
( spl435_169
| spl435_172 ),
inference(avatar_split_clause,[],[f566,f2198,f2187]) ).
fof(f2187,plain,
( spl435_169
<=> sP207 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_169])]) ).
fof(f566,plain,
! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP206(X125)
| sP207 ),
inference(cnf_transformation,[],[f566_D]) ).
fof(f566_D,plain,
( ! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP206(X125) )
<=> ~ sP207 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP207])]) ).
fof(f2195,plain,
( ~ spl435_169
| ~ spl435_170
| spl435_171 ),
inference(avatar_split_clause,[],[f1253,f2193,f2190,f2187]) ).
fof(f1253,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP205
| ~ sP207
| sP208(X93) ),
inference(consistent_polarity_flipping,[],[f569]) ).
fof(f569,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP205
| ~ sP207
| ~ sP208(X93) ),
inference(general_splitting,[],[f567,f568_D]) ).
fof(f567,plain,
! [X96,X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93)
| ~ sP205
| ~ sP207 ),
inference(general_splitting,[],[f565,f566_D]) ).
fof(f565,plain,
! [X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93)
| ~ sP205
| ~ sP206(X125) ),
inference(general_splitting,[],[f563,f564_D]) ).
fof(f563,plain,
! [X126,X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93)
| ~ sP205 ),
inference(general_splitting,[],[f121,f562_D]) ).
fof(f121,plain,
! [X126,X127,X125,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2185,plain,
( ~ spl435_167
| spl435_13 ),
inference(avatar_split_clause,[],[f1252,f1516,f2178]) ).
fof(f2178,plain,
( spl435_167
<=> sP209 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_167])]) ).
fof(f1252,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP209 ),
inference(consistent_polarity_flipping,[],[f570]) ).
fof(f570,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP209 ),
inference(cnf_transformation,[],[f570_D]) ).
fof(f570_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP209 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP209])]) ).
fof(f2183,plain,
( spl435_167
| spl435_168
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1251,f1526,f2181,f2178]) ).
fof(f1251,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| sP209
| ~ sP210(X93) ),
inference(consistent_polarity_flipping,[],[f573]) ).
fof(f573,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP209
| ~ sP210(X93) ),
inference(general_splitting,[],[f571,f572_D]) ).
fof(f571,plain,
! [X96,X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93)
| ~ sP209 ),
inference(general_splitting,[],[f120,f570_D]) ).
fof(f120,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2176,plain,
( spl435_165
| spl435_13 ),
inference(avatar_split_clause,[],[f574,f1516,f2169]) ).
fof(f2169,plain,
( spl435_165
<=> sP211 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_165])]) ).
fof(f574,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP211 ),
inference(cnf_transformation,[],[f574_D]) ).
fof(f574_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP211 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP211])]) ).
fof(f2174,plain,
( ~ spl435_165
| spl435_166
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1249,f1526,f2172,f2169]) ).
fof(f1249,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP211
| sP212(X93) ),
inference(consistent_polarity_flipping,[],[f577]) ).
fof(f577,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP211
| ~ sP212(X93) ),
inference(general_splitting,[],[f575,f576_D]) ).
fof(f575,plain,
! [X96,X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93)
| ~ sP211 ),
inference(general_splitting,[],[f119,f574_D]) ).
fof(f119,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2167,plain,
( spl435_163
| spl435_13 ),
inference(avatar_split_clause,[],[f578,f1516,f2160]) ).
fof(f2160,plain,
( spl435_163
<=> sP213 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_163])]) ).
fof(f578,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP213 ),
inference(cnf_transformation,[],[f578_D]) ).
fof(f578_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP213 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP213])]) ).
fof(f2165,plain,
( ~ spl435_163
| spl435_164
| spl435_12 ),
inference(avatar_split_clause,[],[f1247,f1511,f2163,f2160]) ).
fof(f1247,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP213
| sP214(X93) ),
inference(consistent_polarity_flipping,[],[f581]) ).
fof(f581,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP213
| ~ sP214(X93) ),
inference(general_splitting,[],[f579,f580_D]) ).
fof(f579,plain,
! [X96,X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93)
| ~ sP213 ),
inference(general_splitting,[],[f118,f578_D]) ).
fof(f118,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| p2(sK67(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f2158,plain,
( ~ spl435_161
| spl435_13 ),
inference(avatar_split_clause,[],[f1246,f1516,f2151]) ).
fof(f2151,plain,
( spl435_161
<=> sP215 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_161])]) ).
fof(f1246,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP215 ),
inference(consistent_polarity_flipping,[],[f582]) ).
fof(f582,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP215 ),
inference(cnf_transformation,[],[f582_D]) ).
fof(f582_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP215 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP215])]) ).
fof(f2156,plain,
( spl435_161
| spl435_162
| spl435_12 ),
inference(avatar_split_clause,[],[f1245,f1511,f2154,f2151]) ).
fof(f1245,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| sP215
| ~ sP216(X93) ),
inference(consistent_polarity_flipping,[],[f585]) ).
fof(f585,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP215
| ~ sP216(X93) ),
inference(general_splitting,[],[f583,f584_D]) ).
fof(f583,plain,
! [X96,X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93)
| ~ sP215 ),
inference(general_splitting,[],[f117,f582_D]) ).
fof(f117,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(X96,sK67(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1895,plain,
( ~ spl435_99
| spl435_13 ),
inference(avatar_split_clause,[],[f1175,f1516,f1891]) ).
fof(f1891,plain,
( spl435_99
<=> sP279 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_99])]) ).
fof(f1175,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP279 ),
inference(consistent_polarity_flipping,[],[f710]) ).
fof(f710,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP279 ),
inference(cnf_transformation,[],[f710_D]) ).
fof(f710_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP279 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP279])]) ).
fof(f1893,plain,
( spl435_99
| spl435_22
| spl435_95
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1174,f1526,f1867,f1552,f1891]) ).
fof(f1174,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3)
| sP279 ),
inference(consistent_polarity_flipping,[],[f711]) ).
fof(f711,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3)
| ~ sP279 ),
inference(general_splitting,[],[f83,f710_D]) ).
fof(f83,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1889,plain,
( ~ spl435_98
| spl435_13 ),
inference(avatar_split_clause,[],[f1173,f1516,f1885]) ).
fof(f1885,plain,
( spl435_98
<=> sP280 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_98])]) ).
fof(f1173,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP280 ),
inference(consistent_polarity_flipping,[],[f712]) ).
fof(f712,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP280 ),
inference(cnf_transformation,[],[f712_D]) ).
fof(f712_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP280 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP280])]) ).
fof(f1887,plain,
( spl435_98
| spl435_22
| spl435_92
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1172,f1526,f1853,f1552,f1885]) ).
fof(f1172,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3)
| sP280 ),
inference(consistent_polarity_flipping,[],[f713]) ).
fof(f713,plain,
! [X115] :
( ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3)
| ~ sP280 ),
inference(general_splitting,[],[f82,f712_D]) ).
fof(f82,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1883,plain,
( ~ spl435_97
| spl435_13 ),
inference(avatar_split_clause,[],[f1171,f1516,f1879]) ).
fof(f1879,plain,
( spl435_97
<=> sP281 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_97])]) ).
fof(f1171,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP281 ),
inference(consistent_polarity_flipping,[],[f714]) ).
fof(f714,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP281 ),
inference(cnf_transformation,[],[f714_D]) ).
fof(f714_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP281 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP281])]) ).
fof(f1881,plain,
( spl435_97
| spl435_22
| spl435_95
| spl435_12 ),
inference(avatar_split_clause,[],[f1170,f1511,f1867,f1552,f1879]) ).
fof(f1170,plain,
! [X115] :
( r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3)
| sP281 ),
inference(consistent_polarity_flipping,[],[f715]) ).
fof(f715,plain,
! [X115] :
( r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3)
| ~ sP281 ),
inference(general_splitting,[],[f81,f714_D]) ).
fof(f81,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1877,plain,
( spl435_96
| spl435_13 ),
inference(avatar_split_clause,[],[f716,f1516,f1873]) ).
fof(f1873,plain,
( spl435_96
<=> sP282 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_96])]) ).
fof(f716,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP282 ),
inference(cnf_transformation,[],[f716_D]) ).
fof(f716_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP282 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP282])]) ).
fof(f1875,plain,
( ~ spl435_96
| spl435_22
| spl435_92
| spl435_12 ),
inference(avatar_split_clause,[],[f717,f1511,f1853,f1552,f1873]) ).
fof(f717,plain,
! [X115] :
( r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3)
| ~ sP282 ),
inference(general_splitting,[],[f80,f716_D]) ).
fof(f80,plain,
! [X127,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1871,plain,
( spl435_94
| spl435_13 ),
inference(avatar_split_clause,[],[f718,f1516,f1862]) ).
fof(f1862,plain,
( spl435_94
<=> sP283 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_94])]) ).
fof(f718,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP283 ),
inference(cnf_transformation,[],[f718_D]) ).
fof(f718_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP283 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP283])]) ).
fof(f1869,plain,
( spl435_93
| spl435_95 ),
inference(avatar_split_clause,[],[f720,f1867,f1859]) ).
fof(f1859,plain,
( spl435_93
<=> sP284 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_93])]) ).
fof(f720,plain,
! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP284 ),
inference(cnf_transformation,[],[f720_D]) ).
fof(f720_D,plain,
( ! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115)) )
<=> ~ sP284 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP284])]) ).
fof(f1864,plain,
( ~ spl435_93
| ~ spl435_94
| spl435_22
| spl435_27 ),
inference(avatar_split_clause,[],[f721,f1573,f1552,f1862,f1859]) ).
fof(f721,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| ~ sP283
| ~ sP284 ),
inference(general_splitting,[],[f719,f720_D]) ).
fof(f719,plain,
! [X126,X125,X115] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3)
| ~ sP283 ),
inference(general_splitting,[],[f75,f718_D]) ).
fof(f75,plain,
! [X126,X127,X125,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| ~ p2(sK75(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1857,plain,
( spl435_91
| spl435_13 ),
inference(avatar_split_clause,[],[f722,f1516,f1848]) ).
fof(f1848,plain,
( spl435_91
<=> sP285 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_91])]) ).
fof(f722,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP285 ),
inference(cnf_transformation,[],[f722_D]) ).
fof(f722_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP285 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP285])]) ).
fof(f1855,plain,
( ~ spl435_90
| spl435_92 ),
inference(avatar_split_clause,[],[f1169,f1853,f1845]) ).
fof(f1845,plain,
( spl435_90
<=> sP286 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_90])]) ).
fof(f1169,plain,
! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| ~ sP286 ),
inference(consistent_polarity_flipping,[],[f724]) ).
fof(f724,plain,
! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP286 ),
inference(cnf_transformation,[],[f724_D]) ).
fof(f724_D,plain,
( ! [X115] :
( ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115)) )
<=> ~ sP286 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP286])]) ).
fof(f1850,plain,
( spl435_90
| ~ spl435_91
| spl435_22
| spl435_27 ),
inference(avatar_split_clause,[],[f1168,f1573,f1552,f1848,f1845]) ).
fof(f1168,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| ~ sP285
| sP286 ),
inference(consistent_polarity_flipping,[],[f725]) ).
fof(f725,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| ~ sP285
| ~ sP286 ),
inference(general_splitting,[],[f723,f724_D]) ).
fof(f723,plain,
! [X126,X125,X115] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3)
| ~ sP285 ),
inference(general_splitting,[],[f74,f722_D]) ).
fof(f74,plain,
! [X126,X127,X125,X115] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X115)
| p2(X115)
| r1(sK63(X115),sK75(X115))
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1811,plain,
( spl435_80
| spl435_13 ),
inference(avatar_split_clause,[],[f744,f1516,f1804]) ).
fof(f1804,plain,
( spl435_80
<=> sP296 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_80])]) ).
fof(f744,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP296 ),
inference(cnf_transformation,[],[f744_D]) ).
fof(f744_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP296 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP296])]) ).
fof(f1809,plain,
( ~ spl435_80
| spl435_81
| spl435_12 ),
inference(avatar_split_clause,[],[f1152,f1511,f1807,f1804]) ).
fof(f1152,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP296
| sP297(X93) ),
inference(consistent_polarity_flipping,[],[f747]) ).
fof(f747,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP296
| ~ sP297(X93) ),
inference(general_splitting,[],[f745,f746_D]) ).
fof(f745,plain,
! [X96,X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93)
| ~ sP296 ),
inference(general_splitting,[],[f60,f744_D]) ).
fof(f60,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1802,plain,
( spl435_78
| spl435_13 ),
inference(avatar_split_clause,[],[f748,f1516,f1795]) ).
fof(f1795,plain,
( spl435_78
<=> sP298 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_78])]) ).
fof(f748,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP298 ),
inference(cnf_transformation,[],[f748_D]) ).
fof(f748_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP298 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP298])]) ).
fof(f1800,plain,
( ~ spl435_78
| spl435_79
| spl435_12 ),
inference(avatar_split_clause,[],[f1150,f1511,f1798,f1795]) ).
fof(f1150,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP298
| sP299(X93) ),
inference(consistent_polarity_flipping,[],[f751]) ).
fof(f751,plain,
! [X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP298
| ~ sP299(X93) ),
inference(general_splitting,[],[f749,f750_D]) ).
fof(f749,plain,
! [X96,X103,X93] :
( r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93)
| ~ sP298 ),
inference(general_splitting,[],[f59,f748_D]) ).
fof(f59,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1793,plain,
( ~ spl435_76
| spl435_13 ),
inference(avatar_split_clause,[],[f1149,f1516,f1786]) ).
fof(f1786,plain,
( spl435_76
<=> sP300 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_76])]) ).
fof(f1149,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP300 ),
inference(consistent_polarity_flipping,[],[f752]) ).
fof(f752,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP300 ),
inference(cnf_transformation,[],[f752_D]) ).
fof(f752_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP300 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP300])]) ).
fof(f1791,plain,
( spl435_76
| spl435_77
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1148,f1526,f1789,f1786]) ).
fof(f1148,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| sP300
| ~ sP301(X93) ),
inference(consistent_polarity_flipping,[],[f755]) ).
fof(f755,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP300
| ~ sP301(X93) ),
inference(general_splitting,[],[f753,f754_D]) ).
fof(f753,plain,
! [X96,X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93)
| ~ sP300 ),
inference(general_splitting,[],[f58,f752_D]) ).
fof(f58,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1784,plain,
( spl435_74
| spl435_13 ),
inference(avatar_split_clause,[],[f756,f1516,f1777]) ).
fof(f1777,plain,
( spl435_74
<=> sP302 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_74])]) ).
fof(f756,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP302 ),
inference(cnf_transformation,[],[f756_D]) ).
fof(f756_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP302 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP302])]) ).
fof(f1782,plain,
( ~ spl435_74
| spl435_75
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f1147,f1526,f1780,f1777]) ).
fof(f1147,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP302
| ~ sP303(X93) ),
inference(consistent_polarity_flipping,[],[f759]) ).
fof(f759,plain,
! [X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP302
| ~ sP303(X93) ),
inference(general_splitting,[],[f757,f758_D]) ).
fof(f757,plain,
! [X96,X103,X93] :
( ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93)
| ~ sP302 ),
inference(general_splitting,[],[f57,f756_D]) ).
fof(f57,plain,
! [X127,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1775,plain,
( spl435_71
| spl435_13 ),
inference(avatar_split_clause,[],[f760,f1516,f1763]) ).
fof(f1763,plain,
( spl435_71
<=> sP304 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_71])]) ).
fof(f760,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP304 ),
inference(cnf_transformation,[],[f760_D]) ).
fof(f760_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP304 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP304])]) ).
fof(f1773,plain,
( spl435_70
| spl435_73 ),
inference(avatar_split_clause,[],[f764,f1771,f1760]) ).
fof(f1760,plain,
( spl435_70
<=> sP306 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_70])]) ).
fof(f764,plain,
! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP305(X125)
| sP306 ),
inference(cnf_transformation,[],[f764_D]) ).
fof(f764_D,plain,
( ! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP305(X125) )
<=> ~ sP306 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP306])]) ).
fof(f1768,plain,
( ~ spl435_70
| ~ spl435_71
| spl435_72 ),
inference(avatar_split_clause,[],[f1146,f1766,f1763,f1760]) ).
fof(f1146,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| ~ sP304
| ~ sP306
| ~ sP307(X93) ),
inference(consistent_polarity_flipping,[],[f767]) ).
fof(f767,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP304
| ~ sP306
| ~ sP307(X93) ),
inference(general_splitting,[],[f765,f766_D]) ).
fof(f765,plain,
! [X96,X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93)
| ~ sP304
| ~ sP306 ),
inference(general_splitting,[],[f763,f764_D]) ).
fof(f763,plain,
! [X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93)
| ~ sP304
| ~ sP305(X125) ),
inference(general_splitting,[],[f761,f762_D]) ).
fof(f761,plain,
! [X126,X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93)
| ~ sP304 ),
inference(general_splitting,[],[f56,f760_D]) ).
fof(f56,plain,
! [X126,X127,X125,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| ~ p2(sK79(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1758,plain,
( ~ spl435_67
| spl435_13 ),
inference(avatar_split_clause,[],[f1145,f1516,f1746]) ).
fof(f1746,plain,
( spl435_67
<=> sP308 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_67])]) ).
fof(f1145,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP308 ),
inference(consistent_polarity_flipping,[],[f768]) ).
fof(f768,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP308 ),
inference(cnf_transformation,[],[f768_D]) ).
fof(f768_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP308 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP308])]) ).
fof(f1756,plain,
( spl435_66
| spl435_69 ),
inference(avatar_split_clause,[],[f772,f1754,f1743]) ).
fof(f1743,plain,
( spl435_66
<=> sP310 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_66])]) ).
fof(f772,plain,
! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP309(X125)
| sP310 ),
inference(cnf_transformation,[],[f772_D]) ).
fof(f772_D,plain,
( ! [X125] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ sP309(X125) )
<=> ~ sP310 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP310])]) ).
fof(f1751,plain,
( ~ spl435_66
| spl435_67
| spl435_68 ),
inference(avatar_split_clause,[],[f1143,f1749,f1746,f1743]) ).
fof(f1143,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| ~ sP51(X103,X93)
| sP38(X93)
| sP308
| ~ sP310
| sP311(X93) ),
inference(consistent_polarity_flipping,[],[f775]) ).
fof(f775,plain,
! [X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| sP38(X93)
| ~ sP308
| ~ sP310
| ~ sP311(X93) ),
inference(general_splitting,[],[f773,f774_D]) ).
fof(f773,plain,
! [X96,X103,X93] :
( ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93)
| ~ sP308
| ~ sP310 ),
inference(general_splitting,[],[f771,f772_D]) ).
fof(f771,plain,
! [X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93)
| ~ sP308
| ~ sP309(X125) ),
inference(general_splitting,[],[f769,f770_D]) ).
fof(f769,plain,
! [X126,X125,X96,X103,X93] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93)
| ~ sP308 ),
inference(general_splitting,[],[f55,f768_D]) ).
fof(f55,plain,
! [X126,X127,X125,X96,X103,X93] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK3,X93)
| sP51(X103,X93)
| ~ r1(X93,X96)
| p2(X96)
| r1(sK67(X96),sK79(X96))
| sP38(X93) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1582,plain,
( ~ spl435_26
| spl435_13 ),
inference(avatar_split_clause,[],[f1081,f1516,f1570]) ).
fof(f1570,plain,
( spl435_26
<=> sP376 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_26])]) ).
fof(f1081,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP376 ),
inference(consistent_polarity_flipping,[],[f904]) ).
fof(f904,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP376 ),
inference(cnf_transformation,[],[f904_D]) ).
fof(f904_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP376 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP376])]) ).
fof(f1580,plain,
( spl435_25
| spl435_28 ),
inference(avatar_split_clause,[],[f1079,f1578,f1567]) ).
fof(f1567,plain,
( spl435_25
<=> sP378 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_25])]) ).
fof(f1079,plain,
! [X121] :
( p2(X121)
| sP377(X121)
| sP378 ),
inference(consistent_polarity_flipping,[],[f908]) ).
fof(f908,plain,
! [X121] :
( p2(X121)
| ~ sP377(X121)
| sP378 ),
inference(cnf_transformation,[],[f908_D]) ).
fof(f908_D,plain,
( ! [X121] :
( p2(X121)
| ~ sP377(X121) )
<=> ~ sP378 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP378])]) ).
fof(f1575,plain,
( ~ spl435_25
| spl435_26
| spl435_22
| spl435_27 ),
inference(avatar_split_clause,[],[f1078,f1573,f1552,f1570,f1567]) ).
fof(f1078,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| sP376
| ~ sP378 ),
inference(consistent_polarity_flipping,[],[f909]) ).
fof(f909,plain,
! [X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| sP34(sK3)
| ~ sP376
| ~ sP378 ),
inference(general_splitting,[],[f907,f908_D]) ).
fof(f907,plain,
! [X121,X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| p2(X121)
| sP34(sK3)
| ~ sP376
| ~ sP377(X121) ),
inference(general_splitting,[],[f905,f906_D]) ).
fof(f905,plain,
! [X120,X121,X126,X125] :
( ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3)
| ~ sP376 ),
inference(general_splitting,[],[f38,f904_D]) ).
fof(f38,plain,
! [X120,X121,X126,X127,X125] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ r1(sK19,X125)
| ~ r1(X125,X126)
| p2(X126)
| ~ p2(X125)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1565,plain,
( ~ spl435_24
| spl435_13 ),
inference(avatar_split_clause,[],[f1077,f1516,f1561]) ).
fof(f1561,plain,
( spl435_24
<=> sP379 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_24])]) ).
fof(f1077,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ sP379 ),
inference(consistent_polarity_flipping,[],[f910]) ).
fof(f910,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP379 ),
inference(cnf_transformation,[],[f910_D]) ).
fof(f910_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP379 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP379])]) ).
fof(f1563,plain,
( spl435_24
| spl435_22
| spl435_23
| spl435_12 ),
inference(avatar_split_clause,[],[f1076,f1511,f1555,f1552,f1561]) ).
fof(f1076,plain,
! [X120,X121] :
( r1(sK0,sK19)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3)
| sP379 ),
inference(consistent_polarity_flipping,[],[f911]) ).
fof(f911,plain,
! [X120,X121] :
( r1(sK0,sK19)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3)
| ~ sP379 ),
inference(general_splitting,[],[f35,f910_D]) ).
fof(f35,plain,
! [X120,X121,X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| r1(sK0,sK19)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f1559,plain,
( spl435_21
| spl435_13 ),
inference(avatar_split_clause,[],[f912,f1516,f1549]) ).
fof(f1549,plain,
( spl435_21
<=> sP380 ),
introduced(avatar_definition,[new_symbols(naming,[spl435_21])]) ).
fof(f912,plain,
! [X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| sP380 ),
inference(cnf_transformation,[],[f912_D]) ).
fof(f912_D,plain,
( ! [X127] :
( ~ r1(sK0,X127)
| sP35(X127) )
<=> ~ sP380 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP380])]) ).
fof(f1557,plain,
( ~ spl435_21
| spl435_22
| spl435_23
| ~ spl435_16 ),
inference(avatar_split_clause,[],[f913,f1526,f1555,f1552,f1549]) ).
fof(f913,plain,
! [X120,X121] :
( ~ p2(sK19)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3)
| ~ sP380 ),
inference(general_splitting,[],[f34,f912_D]) ).
fof(f34,plain,
! [X120,X121,X127] :
( ~ r1(sK0,X127)
| sP35(X127)
| ~ p2(sK19)
| ~ r1(sK62,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(X120)
| sP34(sK3) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL660+1.010 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Jun 22 11:55:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.38 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (16415)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.23/0.44 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (16420)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.23/0.45 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (16414)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.23/0.45 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (16416)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.23/0.45 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (16418)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.23/0.45 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (16417)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.23/0.46 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (16419)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.23/0.48 % (16420)Instruction limit reached!
% 0.23/0.48 % (16420)------------------------------
% 0.23/0.48 % (16420)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.48 % (16420)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.48 % (16420)Termination reason: Time limit
% 0.23/0.48 % (16420)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (16420)Memory used [KB]: 2947
% 0.23/0.48 % (16420)Time elapsed: 0.041 s
% 0.23/0.48 % (16420)Instructions burned: 104 (million)
% 0.23/0.49 % (16417)Instruction limit reached!
% 0.23/0.49 % (16417)------------------------------
% 0.23/0.49 % (16417)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49 % (16417)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49 % (16417)Termination reason: Time limit
% 0.23/0.49 % (16417)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (16417)Memory used [KB]: 3100
% 0.23/0.49 % (16417)Time elapsed: 0.045 s
% 0.23/0.49 % (16417)Instructions burned: 105 (million)
% 0.23/0.51 % (16418)Instruction limit reached!
% 0.23/0.51 % (16418)------------------------------
% 0.23/0.51 % (16418)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51 % (16418)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51 % (16418)Termination reason: Time limit
% 0.23/0.51 % (16418)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (16418)Memory used [KB]: 2369
% 0.23/0.51 % (16418)Time elapsed: 0.062 s
% 0.23/0.51 % (16418)Instructions burned: 107 (million)
% 0.23/0.51 % (16419)Instruction limit reached!
% 0.23/0.51 % (16419)------------------------------
% 0.23/0.51 % (16419)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51 % (16419)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51 % (16419)Termination reason: Time limit
% 0.23/0.51 % (16419)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (16419)Memory used [KB]: 3151
% 0.23/0.51 % (16419)Time elapsed: 0.051 s
% 0.23/0.51 % (16419)Instructions burned: 117 (million)
% 0.23/0.51 % (16413)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51 % (16421)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2999ds/110Mi)
% 1.18/0.54 % (16421)Instruction limit reached!
% 1.18/0.54 % (16421)------------------------------
% 1.18/0.54 % (16421)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.18/0.54 % (16421)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.18/0.54 % (16421)Termination reason: Time limit
% 1.18/0.54 % (16421)Termination phase: Saturation
% 1.18/0.54
% 1.18/0.54 % (16421)Memory used [KB]: 2327
% 1.18/0.54 % (16421)Time elapsed: 0.029 s
% 1.18/0.54 % (16421)Instructions burned: 111 (million)
% 1.18/0.55 % (16413)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.55 % (16422)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/319Mi)
% 1.18/0.55 % (16413)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.55 % (16423)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 1.18/0.55 % (16415)First to succeed.
% 1.18/0.56 % (16413)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.56 % (16424)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 1.18/0.56 % (16415)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16413"
% 1.18/0.56 % (16413)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.56 % (16415)Refutation found. Thanks to Tanya!
% 1.18/0.56 % SZS status Theorem for theBenchmark
% 1.18/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.57 % (16415)------------------------------
% 1.18/0.57 % (16415)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.18/0.57 % (16415)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.18/0.57 % (16415)Termination reason: Refutation
% 1.18/0.57
% 1.18/0.57 % (16415)Memory used [KB]: 4447
% 1.18/0.57 % (16415)Time elapsed: 0.120 s
% 1.18/0.57 % (16415)Instructions burned: 360 (million)
% 1.18/0.57 % (16415)------------------------------
% 1.18/0.57 % (16415)------------------------------
% 1.18/0.57 % (16413)Success in time 0.174 s
%------------------------------------------------------------------------------