%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL640+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.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 : Wed Aug 31 17:48:53 EDT 2022
% Result : Theorem 3.90s 1.05s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 85
% Syntax : Number of formulae : 310 ( 17 unt; 0 def)
% Number of atoms : 3981 ( 0 equ)
% Maximal formula atoms : 410 ( 12 avg)
% Number of connectives : 6425 (2754 ~;2715 |; 876 &)
% ( 34 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 41 ( 40 usr; 35 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 9 con; 0-1 aty)
% Number of variables : 2226 (1823 !; 403 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7068,plain,
$false,
inference(avatar_sat_refutation,[],[f199,f581,f591,f604,f651,f666,f810,f935,f1263,f1273,f1288,f1376,f1414,f1439,f1443,f1837,f1845,f2620,f5153,f5159,f5160,f5316,f5534,f5548,f5591,f5604,f5660,f5665,f5670,f5693,f6497,f6670,f6691,f6765,f6885,f7065,f7067]) ).
fof(f7067,plain,
( ~ spl50_78
| spl50_148
| ~ spl50_210 ),
inference(avatar_split_clause,[],[f7066,f1705,f1256,f601]) ).
fof(f601,plain,
( spl50_78
<=> r1(sK37,sK7(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_78])]) ).
fof(f1256,plain,
( spl50_148
<=> p1(sK7(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_148])]) ).
fof(f1705,plain,
( spl50_210
<=> p1(sK41(sK7(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_210])]) ).
fof(f7066,plain,
( p1(sK7(sK37))
| ~ r1(sK37,sK7(sK37))
| ~ spl50_210 ),
inference(resolution,[],[f1707,f123]) ).
fof(f123,plain,
! [X96] :
( ~ p1(sK41(X96))
| ~ r1(sK37,X96)
| p1(X96) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ( ! [X11] :
( ~ r1(sK14(X9),X11)
| ~ p1(X11)
| ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
& r1(X9,sK14(X9))
& ~ p1(sK14(X9)) )
| p1(X9)
| ! [X13] :
( ( ~ p1(sK15(X13))
& r1(X13,sK15(X13)) )
| ~ r1(X9,X13) ) )
& ! [X15] :
( ~ r1(X9,X15)
| ( ~ p1(sK16(X15))
& r1(X15,sK16(X15)) )
| ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( p1(X18)
| ~ r1(X17,X18) ) ) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK13,X1) )
& ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( ( ~ p1(sK17(X23))
& ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| p1(X26) )
| ~ r1(sK17(X23),X25)
| ~ p1(X25) )
& r1(X23,sK17(X23)) )
| p1(X23)
| ! [X27] :
( ~ r1(X23,X27)
| ( r1(X27,sK18(X27))
& ~ p1(sK18(X27)) ) ) )
& ! [X29] :
( ~ r1(X23,X29)
| ( ~ p1(sK19(X29))
& r1(X29,sK19(X29)) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) ) ) ) ) )
| ~ r1(X20,X21) ) )
| ~ r1(sK13,X19) )
& ! [X33] :
( ~ r1(sK13,X33)
| ( ! [X34] :
( ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ( ~ p1(sK20(X34))
& r1(X34,sK20(X34)) )
| ~ r1(X33,X34) )
& ( p1(X33)
| ( r1(X33,sK21(X33))
& ~ p1(sK21(X33))
& ! [X39] :
( ~ p1(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ r1(sK21(X33),X39) ) )
| ! [X41] :
( ( r1(X41,sK22(X41))
& ~ p1(sK22(X41)) )
| ~ r1(X33,X41) ) ) ) )
& ! [X43] :
( ~ r1(sK13,X43)
| ! [X44] :
( ( ( ( ~ p1(sK23(X44))
& r1(X44,sK23(X44))
& ! [X46] :
( ~ p1(X46)
| ~ r1(sK23(X44),X46)
| ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) ) )
| p1(X44)
| ! [X48] :
( ~ r1(X44,X48)
| ( r1(X48,sK24(X48))
& ~ p1(sK24(X48)) ) ) )
& ! [X50] :
( ( ~ p1(sK25(X50))
& r1(X50,sK25(X50)) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( p1(X53)
| ~ r1(X52,X53) ) )
| ~ r1(X44,X50) ) )
| ~ r1(X43,X44) ) )
& ! [X54] :
( ~ r1(sK13,X54)
| ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ! [X60] :
( ! [X61] :
( ~ r1(X60,X61)
| ( ! [X62] :
( ( ~ p1(sK26(X62))
& r1(X62,sK26(X62)) )
| ~ r1(X61,X62)
| ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) ) )
& ( ! [X66] :
( ( ~ p1(sK27(X66))
& r1(X66,sK27(X66)) )
| ~ r1(X61,X66) )
| ( ~ p1(sK28(X61))
& r1(X61,sK28(X61))
& ! [X69] :
( ~ p1(X69)
| ~ r1(sK28(X61),X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) ) ) )
| p1(X61) ) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) ) ) ) ) ) )
& ! [X71] :
( ~ r1(sK13,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ! [X74] :
( ! [X75] :
( ~ r1(X74,X75)
| ! [X76] :
( ! [X77] :
( ~ r1(X76,X77)
| ( ( p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| ( ~ p1(sK29(X78))
& r1(X78,sK29(X78)) ) )
| ( ~ p1(sK30(X77))
& ! [X81] :
( ~ p1(X81)
| ~ r1(sK30(X77),X81)
| ! [X82] :
( p1(X82)
| ~ r1(X81,X82) ) )
& r1(X77,sK30(X77)) ) )
& ! [X83] :
( ~ r1(X77,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ! [X85] :
( p1(X85)
| ~ r1(X84,X85) ) )
| ( r1(X83,sK31(X83))
& ~ p1(sK31(X83)) ) ) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) ) ) )
& r1(sK32,sK33)
& r1(sK35,sK36)
& r1(sK37,sK38)
& ! [X94] :
( ~ r1(sK38,X94)
| p1(X94) )
& r1(sK37,sK39)
& ~ p1(sK39)
& ! [X96] :
( p1(X96)
| ( ~ p1(sK41(X96))
& r1(sK40(X96),sK41(X96))
& p1(sK40(X96))
& r1(X96,sK40(X96)) )
| ~ r1(sK37,X96) )
& r1(sK36,sK37)
& r1(sK34,sK35)
& r1(sK33,sK34)
& r1(sK13,sK32)
& ! [X99] :
( ~ r1(sK13,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ! [X102] :
( ~ r1(X101,X102)
| ( ( p1(X102)
| ( r1(X102,sK42(X102))
& ~ p1(sK42(X102))
& ! [X104] :
( ~ p1(X104)
| ~ r1(sK42(X102),X104)
| ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) ) )
| ! [X106] :
( ~ r1(X102,X106)
| ( ~ p1(sK43(X106))
& r1(X106,sK43(X106)) ) ) )
& ! [X108] :
( ~ r1(X102,X108)
| ( r1(X108,sK44(X108))
& ~ p1(sK44(X108)) )
| ! [X110] :
( ! [X111] :
( p1(X111)
| ~ r1(X110,X111) )
| ~ r1(X108,X110) ) ) ) )
| ~ r1(X100,X101) ) ) )
& ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ! [X117] :
( ( ( ( ~ p1(sK45(X117))
& ! [X119] :
( ! [X120] :
( ~ r1(X119,X120)
| p1(X120) )
| ~ r1(sK45(X117),X119)
| ~ p1(X119) )
& r1(X117,sK45(X117)) )
| sP1(X117) )
& sP2(X117)
& ! [X121] :
( ~ r1(X117,X121)
| ( ~ p1(sK46(X121))
& r1(X121,sK46(X121)) )
| ! [X123] :
( ! [X124] :
( p1(X124)
| ~ r1(X123,X124) )
| ~ r1(X121,X123) ) )
& sP3(X117) )
| ~ r1(X116,X117) ) ) ) ) )
| ~ r1(sK13,X112) )
& ! [X125] :
( ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ( ! [X128] :
( ! [X129] :
( ~ r1(X128,X129)
| ! [X130] :
( p1(X130)
| ~ r1(X129,X130) ) )
| ( r1(X128,sK47(X128))
& ~ p1(sK47(X128)) )
| ~ r1(X127,X128) )
& ( p1(X127)
| ( r1(X127,sK48(X127))
& ! [X133] :
( ~ r1(sK48(X127),X133)
| ~ p1(X133)
| ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
& ~ p1(sK48(X127)) )
| ! [X135] :
( ( ~ p1(sK49(X135))
& r1(X135,sK49(X135)) )
| ~ r1(X127,X135) ) ) ) ) )
| ~ r1(sK13,X125) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49])],[f33,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11)
| ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
& r1(X9,X10)
& ~ p1(X10) )
| p1(X9)
| ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X9,X13) ) )
& ! [X15] :
( ~ r1(X9,X15)
| ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( p1(X18)
| ~ r1(X17,X18) ) ) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( ? [X24] :
( ~ p1(X24)
& ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| p1(X26) )
| ~ r1(X24,X25)
| ~ p1(X25) )
& r1(X23,X24) )
| p1(X23)
| ! [X27] :
( ~ r1(X23,X27)
| ? [X28] :
( r1(X27,X28)
& ~ p1(X28) ) ) )
& ! [X29] :
( ~ r1(X23,X29)
| ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) ) ) ) ) )
| ~ r1(X20,X21) ) )
| ~ r1(X0,X19) )
& ! [X33] :
( ~ r1(X0,X33)
| ( ! [X34] :
( ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ? [X37] :
( ~ p1(X37)
& r1(X34,X37) )
| ~ r1(X33,X34) )
& ( p1(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p1(X38)
& ! [X39] :
( ~ p1(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ r1(X38,X39) ) )
| ! [X41] :
( ? [X42] :
( r1(X41,X42)
& ~ p1(X42) )
| ~ r1(X33,X41) ) ) ) )
& ! [X43] :
( ~ r1(X0,X43)
| ! [X44] :
( ( ( ? [X45] :
( ~ p1(X45)
& r1(X44,X45)
& ! [X46] :
( ~ p1(X46)
| ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) ) )
| p1(X44)
| ! [X48] :
( ~ r1(X44,X48)
| ? [X49] :
( r1(X48,X49)
& ~ p1(X49) ) ) )
& ! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( p1(X53)
| ~ r1(X52,X53) ) )
| ~ r1(X44,X50) ) )
| ~ r1(X43,X44) ) )
& ! [X54] :
( ~ r1(X0,X54)
| ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ! [X60] :
( ! [X61] :
( ~ r1(X60,X61)
| ( ! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
| ~ r1(X61,X62)
| ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) ) )
& ( ! [X66] :
( ? [X67] :
( ~ p1(X67)
& r1(X66,X67) )
| ~ r1(X61,X66) )
| ? [X68] :
( ~ p1(X68)
& r1(X61,X68)
& ! [X69] :
( ~ p1(X69)
| ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) ) ) )
| p1(X61) ) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) ) ) ) ) ) )
& ! [X71] :
( ~ r1(X0,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ! [X74] :
( ! [X75] :
( ~ r1(X74,X75)
| ! [X76] :
( ! [X77] :
( ~ r1(X76,X77)
| ( ( p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| ? [X79] :
( ~ p1(X79)
& r1(X78,X79) ) )
| ? [X80] :
( ~ p1(X80)
& ! [X81] :
( ~ p1(X81)
| ~ r1(X80,X81)
| ! [X82] :
( p1(X82)
| ~ r1(X81,X82) ) )
& r1(X77,X80) ) )
& ! [X83] :
( ~ r1(X77,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ! [X85] :
( p1(X85)
| ~ r1(X84,X85) ) )
| ? [X86] :
( r1(X83,X86)
& ~ p1(X86) ) ) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) ) ) )
& ? [X87] :
( ? [X88] :
( r1(X87,X88)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(X88,X89) ) )
& r1(X0,X87) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ! [X102] :
( ~ r1(X101,X102)
| ( ( p1(X102)
| ? [X103] :
( r1(X102,X103)
& ~ p1(X103)
& ! [X104] :
( ~ p1(X104)
| ~ r1(X103,X104)
| ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) ) )
| ! [X106] :
( ~ r1(X102,X106)
| ? [X107] :
( ~ p1(X107)
& r1(X106,X107) ) ) )
& ! [X108] :
( ~ r1(X102,X108)
| ? [X109] :
( r1(X108,X109)
& ~ p1(X109) )
| ! [X110] :
( ! [X111] :
( p1(X111)
| ~ r1(X110,X111) )
| ~ r1(X108,X110) ) ) ) )
| ~ r1(X100,X101) ) ) )
& ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ! [X117] :
( ( ( ? [X118] :
( ~ p1(X118)
& ! [X119] :
( ! [X120] :
( ~ r1(X119,X120)
| p1(X120) )
| ~ r1(X118,X119)
| ~ p1(X119) )
& r1(X117,X118) )
| sP1(X117) )
& sP2(X117)
& ! [X121] :
( ~ r1(X117,X121)
| ? [X122] :
( ~ p1(X122)
& r1(X121,X122) )
| ! [X123] :
( ! [X124] :
( p1(X124)
| ~ r1(X123,X124) )
| ~ r1(X121,X123) ) )
& sP3(X117) )
| ~ r1(X116,X117) ) ) ) ) )
| ~ r1(X0,X112) )
& ! [X125] :
( ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ( ! [X128] :
( ! [X129] :
( ~ r1(X128,X129)
| ! [X130] :
( p1(X130)
| ~ r1(X129,X130) ) )
| ? [X131] :
( r1(X128,X131)
& ~ p1(X131) )
| ~ r1(X127,X128) )
& ( p1(X127)
| ? [X132] :
( r1(X127,X132)
& ! [X133] :
( ~ r1(X132,X133)
| ~ p1(X133)
| ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
& ~ p1(X132) )
| ! [X135] :
( ? [X136] :
( ~ p1(X136)
& r1(X135,X136) )
| ~ r1(X127,X135) ) ) ) ) )
| ~ r1(X0,X125) ) )
=> ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11)
| ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
& r1(X9,X10)
& ~ p1(X10) )
| p1(X9)
| ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X9,X13) ) )
& ! [X15] :
( ~ r1(X9,X15)
| ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( p1(X18)
| ~ r1(X17,X18) ) ) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK13,X1) )
& ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( ? [X24] :
( ~ p1(X24)
& ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| p1(X26) )
| ~ r1(X24,X25)
| ~ p1(X25) )
& r1(X23,X24) )
| p1(X23)
| ! [X27] :
( ~ r1(X23,X27)
| ? [X28] :
( r1(X27,X28)
& ~ p1(X28) ) ) )
& ! [X29] :
( ~ r1(X23,X29)
| ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) ) ) ) ) )
| ~ r1(X20,X21) ) )
| ~ r1(sK13,X19) )
& ! [X33] :
( ~ r1(sK13,X33)
| ( ! [X34] :
( ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ? [X37] :
( ~ p1(X37)
& r1(X34,X37) )
| ~ r1(X33,X34) )
& ( p1(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p1(X38)
& ! [X39] :
( ~ p1(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ r1(X38,X39) ) )
| ! [X41] :
( ? [X42] :
( r1(X41,X42)
& ~ p1(X42) )
| ~ r1(X33,X41) ) ) ) )
& ! [X43] :
( ~ r1(sK13,X43)
| ! [X44] :
( ( ( ? [X45] :
( ~ p1(X45)
& r1(X44,X45)
& ! [X46] :
( ~ p1(X46)
| ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) ) )
| p1(X44)
| ! [X48] :
( ~ r1(X44,X48)
| ? [X49] :
( r1(X48,X49)
& ~ p1(X49) ) ) )
& ! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( p1(X53)
| ~ r1(X52,X53) ) )
| ~ r1(X44,X50) ) )
| ~ r1(X43,X44) ) )
& ! [X54] :
( ~ r1(sK13,X54)
| ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ! [X60] :
( ! [X61] :
( ~ r1(X60,X61)
| ( ! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
| ~ r1(X61,X62)
| ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) ) )
& ( ! [X66] :
( ? [X67] :
( ~ p1(X67)
& r1(X66,X67) )
| ~ r1(X61,X66) )
| ? [X68] :
( ~ p1(X68)
& r1(X61,X68)
& ! [X69] :
( ~ p1(X69)
| ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) ) ) )
| p1(X61) ) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) ) ) ) ) ) )
& ! [X71] :
( ~ r1(sK13,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ! [X74] :
( ! [X75] :
( ~ r1(X74,X75)
| ! [X76] :
( ! [X77] :
( ~ r1(X76,X77)
| ( ( p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| ? [X79] :
( ~ p1(X79)
& r1(X78,X79) ) )
| ? [X80] :
( ~ p1(X80)
& ! [X81] :
( ~ p1(X81)
| ~ r1(X80,X81)
| ! [X82] :
( p1(X82)
| ~ r1(X81,X82) ) )
& r1(X77,X80) ) )
& ! [X83] :
( ~ r1(X77,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ! [X85] :
( p1(X85)
| ~ r1(X84,X85) ) )
| ? [X86] :
( r1(X83,X86)
& ~ p1(X86) ) ) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) ) ) )
& ? [X87] :
( ? [X88] :
( r1(X87,X88)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(X88,X89) ) )
& r1(sK13,X87) )
& ! [X99] :
( ~ r1(sK13,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ! [X102] :
( ~ r1(X101,X102)
| ( ( p1(X102)
| ? [X103] :
( r1(X102,X103)
& ~ p1(X103)
& ! [X104] :
( ~ p1(X104)
| ~ r1(X103,X104)
| ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) ) )
| ! [X106] :
( ~ r1(X102,X106)
| ? [X107] :
( ~ p1(X107)
& r1(X106,X107) ) ) )
& ! [X108] :
( ~ r1(X102,X108)
| ? [X109] :
( r1(X108,X109)
& ~ p1(X109) )
| ! [X110] :
( ! [X111] :
( p1(X111)
| ~ r1(X110,X111) )
| ~ r1(X108,X110) ) ) ) )
| ~ r1(X100,X101) ) ) )
& ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ! [X117] :
( ( ( ? [X118] :
( ~ p1(X118)
& ! [X119] :
( ! [X120] :
( ~ r1(X119,X120)
| p1(X120) )
| ~ r1(X118,X119)
| ~ p1(X119) )
& r1(X117,X118) )
| sP1(X117) )
& sP2(X117)
& ! [X121] :
( ~ r1(X117,X121)
| ? [X122] :
( ~ p1(X122)
& r1(X121,X122) )
| ! [X123] :
( ! [X124] :
( p1(X124)
| ~ r1(X123,X124) )
| ~ r1(X121,X123) ) )
& sP3(X117) )
| ~ r1(X116,X117) ) ) ) ) )
| ~ r1(sK13,X112) )
& ! [X125] :
( ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ( ! [X128] :
( ! [X129] :
( ~ r1(X128,X129)
| ! [X130] :
( p1(X130)
| ~ r1(X129,X130) ) )
| ? [X131] :
( r1(X128,X131)
& ~ p1(X131) )
| ~ r1(X127,X128) )
& ( p1(X127)
| ? [X132] :
( r1(X127,X132)
& ! [X133] :
( ~ r1(X132,X133)
| ~ p1(X133)
| ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
& ~ p1(X132) )
| ! [X135] :
( ? [X136] :
( ~ p1(X136)
& r1(X135,X136) )
| ~ r1(X127,X135) ) ) ) ) )
| ~ r1(sK13,X125) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X9] :
( ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11)
| ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
& r1(X9,X10)
& ~ p1(X10) )
=> ( ! [X11] :
( ~ r1(sK14(X9),X11)
| ~ p1(X11)
| ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
& r1(X9,sK14(X9))
& ~ p1(sK14(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
=> ( ~ p1(sK15(X13))
& r1(X13,sK15(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X15] :
( ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
=> ( ~ p1(sK16(X15))
& r1(X15,sK16(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X23] :
( ? [X24] :
( ~ p1(X24)
& ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| p1(X26) )
| ~ r1(X24,X25)
| ~ p1(X25) )
& r1(X23,X24) )
=> ( ~ p1(sK17(X23))
& ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| p1(X26) )
| ~ r1(sK17(X23),X25)
| ~ p1(X25) )
& r1(X23,sK17(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p1(X28) )
=> ( r1(X27,sK18(X27))
& ~ p1(sK18(X27)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
=> ( ~ p1(sK19(X29))
& r1(X29,sK19(X29)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X34] :
( ? [X37] :
( ~ p1(X37)
& r1(X34,X37) )
=> ( ~ p1(sK20(X34))
& r1(X34,sK20(X34)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X33] :
( ? [X38] :
( r1(X33,X38)
& ~ p1(X38)
& ! [X39] :
( ~ p1(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ r1(X38,X39) ) )
=> ( r1(X33,sK21(X33))
& ~ p1(sK21(X33))
& ! [X39] :
( ~ p1(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ r1(sK21(X33),X39) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X41] :
( ? [X42] :
( r1(X41,X42)
& ~ p1(X42) )
=> ( r1(X41,sK22(X41))
& ~ p1(sK22(X41)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X44] :
( ? [X45] :
( ~ p1(X45)
& r1(X44,X45)
& ! [X46] :
( ~ p1(X46)
| ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) ) )
=> ( ~ p1(sK23(X44))
& r1(X44,sK23(X44))
& ! [X46] :
( ~ p1(X46)
| ~ r1(sK23(X44),X46)
| ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X48] :
( ? [X49] :
( r1(X48,X49)
& ~ p1(X49) )
=> ( r1(X48,sK24(X48))
& ~ p1(sK24(X48)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
=> ( ~ p1(sK25(X50))
& r1(X50,sK25(X50)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
=> ( ~ p1(sK26(X62))
& r1(X62,sK26(X62)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X66] :
( ? [X67] :
( ~ p1(X67)
& r1(X66,X67) )
=> ( ~ p1(sK27(X66))
& r1(X66,sK27(X66)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X61] :
( ? [X68] :
( ~ p1(X68)
& r1(X61,X68)
& ! [X69] :
( ~ p1(X69)
| ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) ) ) )
=> ( ~ p1(sK28(X61))
& r1(X61,sK28(X61))
& ! [X69] :
( ~ p1(X69)
| ~ r1(sK28(X61),X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X78] :
( ? [X79] :
( ~ p1(X79)
& r1(X78,X79) )
=> ( ~ p1(sK29(X78))
& r1(X78,sK29(X78)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X77] :
( ? [X80] :
( ~ p1(X80)
& ! [X81] :
( ~ p1(X81)
| ~ r1(X80,X81)
| ! [X82] :
( p1(X82)
| ~ r1(X81,X82) ) )
& r1(X77,X80) )
=> ( ~ p1(sK30(X77))
& ! [X81] :
( ~ p1(X81)
| ~ r1(sK30(X77),X81)
| ! [X82] :
( p1(X82)
| ~ r1(X81,X82) ) )
& r1(X77,sK30(X77)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X83] :
( ? [X86] :
( r1(X83,X86)
& ~ p1(X86) )
=> ( r1(X83,sK31(X83))
& ~ p1(sK31(X83)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X87] :
( ? [X88] :
( r1(X87,X88)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(X88,X89) ) )
& r1(sK13,X87) )
=> ( ? [X88] :
( r1(sK32,X88)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(X88,X89) ) )
& r1(sK13,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X88] :
( r1(sK32,X88)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(X88,X89) ) )
=> ( r1(sK32,sK33)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(sK33,X89) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(sK33,X89) )
=> ( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(sK34,X90) )
& r1(sK33,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(sK34,X90) )
=> ( ? [X91] :
( r1(sK35,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(sK34,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X91] :
( r1(sK35,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
=> ( r1(sK35,sK36)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(sK36,X92) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(sK36,X92) )
=> ( ? [X93] :
( r1(sK37,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(sK37,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(sK37,X96) )
& r1(sK36,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X93] :
( r1(sK37,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
=> ( r1(sK37,sK38)
& ! [X94] :
( ~ r1(sK38,X94)
| p1(X94) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X95] :
( r1(sK37,X95)
& ~ p1(X95) )
=> ( r1(sK37,sK39)
& ~ p1(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X96] :
( ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
=> ( ? [X98] :
( ~ p1(X98)
& r1(sK40(X96),X98) )
& p1(sK40(X96))
& r1(X96,sK40(X96)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X96] :
( ? [X98] :
( ~ p1(X98)
& r1(sK40(X96),X98) )
=> ( ~ p1(sK41(X96))
& r1(sK40(X96),sK41(X96)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X102] :
( ? [X103] :
( r1(X102,X103)
& ~ p1(X103)
& ! [X104] :
( ~ p1(X104)
| ~ r1(X103,X104)
| ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) ) )
=> ( r1(X102,sK42(X102))
& ~ p1(sK42(X102))
& ! [X104] :
( ~ p1(X104)
| ~ r1(sK42(X102),X104)
| ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X106] :
( ? [X107] :
( ~ p1(X107)
& r1(X106,X107) )
=> ( ~ p1(sK43(X106))
& r1(X106,sK43(X106)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X108] :
( ? [X109] :
( r1(X108,X109)
& ~ p1(X109) )
=> ( r1(X108,sK44(X108))
& ~ p1(sK44(X108)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X117] :
( ? [X118] :
( ~ p1(X118)
& ! [X119] :
( ! [X120] :
( ~ r1(X119,X120)
| p1(X120) )
| ~ r1(X118,X119)
| ~ p1(X119) )
& r1(X117,X118) )
=> ( ~ p1(sK45(X117))
& ! [X119] :
( ! [X120] :
( ~ r1(X119,X120)
| p1(X120) )
| ~ r1(sK45(X117),X119)
| ~ p1(X119) )
& r1(X117,sK45(X117)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X121] :
( ? [X122] :
( ~ p1(X122)
& r1(X121,X122) )
=> ( ~ p1(sK46(X121))
& r1(X121,sK46(X121)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X128] :
( ? [X131] :
( r1(X128,X131)
& ~ p1(X131) )
=> ( r1(X128,sK47(X128))
& ~ p1(sK47(X128)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X127] :
( ? [X132] :
( r1(X127,X132)
& ! [X133] :
( ~ r1(X132,X133)
| ~ p1(X133)
| ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
& ~ p1(X132) )
=> ( r1(X127,sK48(X127))
& ! [X133] :
( ~ r1(sK48(X127),X133)
| ~ p1(X133)
| ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
& ~ p1(sK48(X127)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X135] :
( ? [X136] :
( ~ p1(X136)
& r1(X135,X136) )
=> ( ~ p1(sK49(X135))
& r1(X135,sK49(X135)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ? [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| ~ p1(X11)
| ! [X12] :
( p1(X12)
| ~ r1(X11,X12) ) )
& r1(X9,X10)
& ~ p1(X10) )
| p1(X9)
| ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X9,X13) ) )
& ! [X15] :
( ~ r1(X9,X15)
| ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
| ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( p1(X18)
| ~ r1(X17,X18) ) ) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( ? [X24] :
( ~ p1(X24)
& ! [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| p1(X26) )
| ~ r1(X24,X25)
| ~ p1(X25) )
& r1(X23,X24) )
| p1(X23)
| ! [X27] :
( ~ r1(X23,X27)
| ? [X28] :
( r1(X27,X28)
& ~ p1(X28) ) ) )
& ! [X29] :
( ~ r1(X23,X29)
| ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) ) ) ) ) )
| ~ r1(X20,X21) ) )
| ~ r1(X0,X19) )
& ! [X33] :
( ~ r1(X0,X33)
| ( ! [X34] :
( ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ? [X37] :
( ~ p1(X37)
& r1(X34,X37) )
| ~ r1(X33,X34) )
& ( p1(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p1(X38)
& ! [X39] :
( ~ p1(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ r1(X38,X39) ) )
| ! [X41] :
( ? [X42] :
( r1(X41,X42)
& ~ p1(X42) )
| ~ r1(X33,X41) ) ) ) )
& ! [X43] :
( ~ r1(X0,X43)
| ! [X44] :
( ( ( ? [X45] :
( ~ p1(X45)
& r1(X44,X45)
& ! [X46] :
( ~ p1(X46)
| ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) ) )
| p1(X44)
| ! [X48] :
( ~ r1(X44,X48)
| ? [X49] :
( r1(X48,X49)
& ~ p1(X49) ) ) )
& ! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( p1(X53)
| ~ r1(X52,X53) ) )
| ~ r1(X44,X50) ) )
| ~ r1(X43,X44) ) )
& ! [X54] :
( ~ r1(X0,X54)
| ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ! [X60] :
( ! [X61] :
( ~ r1(X60,X61)
| ( ! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
| ~ r1(X61,X62)
| ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) ) )
& ( ! [X66] :
( ? [X67] :
( ~ p1(X67)
& r1(X66,X67) )
| ~ r1(X61,X66) )
| ? [X68] :
( ~ p1(X68)
& r1(X61,X68)
& ! [X69] :
( ~ p1(X69)
| ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) ) ) )
| p1(X61) ) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) ) ) ) ) ) )
& ! [X71] :
( ~ r1(X0,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ! [X74] :
( ! [X75] :
( ~ r1(X74,X75)
| ! [X76] :
( ! [X77] :
( ~ r1(X76,X77)
| ( ( p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| ? [X79] :
( ~ p1(X79)
& r1(X78,X79) ) )
| ? [X80] :
( ~ p1(X80)
& ! [X81] :
( ~ p1(X81)
| ~ r1(X80,X81)
| ! [X82] :
( p1(X82)
| ~ r1(X81,X82) ) )
& r1(X77,X80) ) )
& ! [X83] :
( ~ r1(X77,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ! [X85] :
( p1(X85)
| ~ r1(X84,X85) ) )
| ? [X86] :
( r1(X83,X86)
& ~ p1(X86) ) ) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X73,X74) )
| ~ r1(X72,X73) ) ) )
& ? [X87] :
( ? [X88] :
( r1(X87,X88)
& ? [X89] :
( ? [X90] :
( ? [X91] :
( r1(X90,X91)
& ? [X92] :
( ? [X93] :
( r1(X92,X93)
& ! [X94] :
( ~ r1(X93,X94)
| p1(X94) ) )
& ? [X95] :
( r1(X92,X95)
& ~ p1(X95) )
& ! [X96] :
( p1(X96)
| ? [X97] :
( ? [X98] :
( ~ p1(X98)
& r1(X97,X98) )
& p1(X97)
& r1(X96,X97) )
| ~ r1(X92,X96) )
& r1(X91,X92) ) )
& r1(X89,X90) )
& r1(X88,X89) ) )
& r1(X0,X87) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ! [X102] :
( ~ r1(X101,X102)
| ( ( p1(X102)
| ? [X103] :
( r1(X102,X103)
& ~ p1(X103)
& ! [X104] :
( ~ p1(X104)
| ~ r1(X103,X104)
| ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) ) )
| ! [X106] :
( ~ r1(X102,X106)
| ? [X107] :
( ~ p1(X107)
& r1(X106,X107) ) ) )
& ! [X108] :
( ~ r1(X102,X108)
| ? [X109] :
( r1(X108,X109)
& ~ p1(X109) )
| ! [X110] :
( ! [X111] :
( p1(X111)
| ~ r1(X110,X111) )
| ~ r1(X108,X110) ) ) ) )
| ~ r1(X100,X101) ) ) )
& ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ! [X117] :
( ( ( ? [X118] :
( ~ p1(X118)
& ! [X119] :
( ! [X120] :
( ~ r1(X119,X120)
| p1(X120) )
| ~ r1(X118,X119)
| ~ p1(X119) )
& r1(X117,X118) )
| sP1(X117) )
& sP2(X117)
& ! [X121] :
( ~ r1(X117,X121)
| ? [X122] :
( ~ p1(X122)
& r1(X121,X122) )
| ! [X123] :
( ! [X124] :
( p1(X124)
| ~ r1(X123,X124) )
| ~ r1(X121,X123) ) )
& sP3(X117) )
| ~ r1(X116,X117) ) ) ) ) )
| ~ r1(X0,X112) )
& ! [X125] :
( ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ( ! [X128] :
( ! [X129] :
( ~ r1(X128,X129)
| ! [X130] :
( p1(X130)
| ~ r1(X129,X130) ) )
| ? [X131] :
( r1(X128,X131)
& ~ p1(X131) )
| ~ r1(X127,X128) )
& ( p1(X127)
| ? [X132] :
( r1(X127,X132)
& ! [X133] :
( ~ r1(X132,X133)
| ~ p1(X133)
| ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
& ~ p1(X132) )
| ! [X135] :
( ? [X136] :
( ~ p1(X136)
& r1(X135,X136) )
| ~ r1(X127,X135) ) ) ) ) )
| ~ r1(X0,X125) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
? [X0] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ( ( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) ) )
& r1(X42,X43)
& ~ p1(X43) )
| p1(X42)
| ! [X46] :
( ? [X47] :
( ~ p1(X47)
& r1(X46,X47) )
| ~ r1(X42,X46) ) )
& ! [X48] :
( ~ r1(X42,X48)
| ? [X51] :
( ~ p1(X51)
& r1(X48,X51) )
| ! [X49] :
( ~ r1(X48,X49)
| ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X110] :
( ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ( ( ? [X121] :
( ~ p1(X121)
& ! [X122] :
( ! [X123] :
( ~ r1(X122,X123)
| p1(X123) )
| ~ r1(X121,X122)
| ~ p1(X122) )
& r1(X114,X121) )
| p1(X114)
| ! [X119] :
( ~ r1(X114,X119)
| ? [X120] :
( r1(X119,X120)
& ~ p1(X120) ) ) )
& ! [X115] :
( ~ r1(X114,X115)
| ? [X116] :
( ~ p1(X116)
& r1(X115,X116) )
| ! [X117] :
( ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X115,X117) ) ) ) ) )
| ~ r1(X111,X112) ) )
| ~ r1(X0,X110) )
& ! [X64] :
( ~ r1(X0,X64)
| ( ! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67) ) )
| ? [X68] :
( ~ p1(X68)
& r1(X65,X68) )
| ~ r1(X64,X65) )
& ( p1(X64)
| ? [X69] :
( r1(X64,X69)
& ~ p1(X69)
& ! [X70] :
( ~ p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| p1(X71) )
| ~ r1(X69,X70) ) )
| ! [X72] :
( ? [X73] :
( r1(X72,X73)
& ~ p1(X73) )
| ~ r1(X64,X72) ) ) ) )
& ! [X74] :
( ~ r1(X0,X74)
| ! [X75] :
( ( ( ? [X82] :
( ~ p1(X82)
& r1(X75,X82)
& ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) ) )
| p1(X75)
| ! [X80] :
( ~ r1(X75,X80)
| ? [X81] :
( r1(X80,X81)
& ~ p1(X81) ) ) )
& ! [X76] :
( ? [X79] :
( ~ p1(X79)
& r1(X76,X79) )
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( p1(X78)
| ~ r1(X77,X78) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X74,X75) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| ( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ~ r1(X8,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) ) )
& ( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ r1(X8,X12) )
| ? [X9] :
( ~ p1(X9)
& r1(X8,X9)
& ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) ) )
| p1(X8) ) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) ) ) ) ) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ( ( p1(X24)
| ! [X28] :
( ~ r1(X24,X28)
| ? [X29] :
( ~ p1(X29)
& r1(X28,X29) ) )
| ? [X25] :
( ~ p1(X25)
& ! [X26] :
( ~ p1(X26)
| ~ r1(X25,X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
& r1(X24,X25) ) )
& ! [X30] :
( ~ r1(X24,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( p1(X32)
| ~ r1(X31,X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) ) ) )
& ? [X52] :
( ? [X53] :
( r1(X52,X53)
& ? [X54] :
( ? [X55] :
( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ? [X58] :
( r1(X57,X58)
& ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ? [X60] :
( r1(X57,X60)
& ~ p1(X60) )
& ! [X61] :
( p1(X61)
| ? [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
& p1(X62)
& r1(X61,X62) )
| ~ r1(X57,X61) )
& r1(X56,X57) ) )
& r1(X54,X55) )
& r1(X53,X54) ) )
& r1(X0,X52) )
& ! [X85] :
( ~ r1(X0,X85)
| ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( ! [X88] :
( ~ r1(X87,X88)
| ( ( p1(X88)
| ? [X91] :
( r1(X88,X91)
& ~ p1(X91)
& ! [X92] :
( ~ p1(X92)
| ~ r1(X91,X92)
| ! [X93] :
( ~ r1(X92,X93)
| p1(X93) ) ) )
| ! [X89] :
( ~ r1(X88,X89)
| ? [X90] :
( ~ p1(X90)
& r1(X89,X90) ) ) )
& ! [X94] :
( ~ r1(X88,X94)
| ? [X95] :
( r1(X94,X95)
& ~ p1(X95) )
| ! [X96] :
( ! [X97] :
( p1(X97)
| ~ r1(X96,X97) )
| ~ r1(X94,X96) ) ) ) )
| ~ r1(X86,X87) ) ) )
& ! [X124] :
( ! [X125] :
( ~ r1(X124,X125)
| ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ! [X129] :
( ( ( ? [X153] :
( ~ p1(X153)
& ! [X154] :
( ! [X155] :
( ~ r1(X154,X155)
| p1(X155) )
| ~ r1(X153,X154)
| ~ p1(X154) )
& r1(X129,X153) )
| sP1(X129) )
& sP2(X129)
& ! [X135] :
( ~ r1(X129,X135)
| ? [X138] :
( ~ p1(X138)
& r1(X135,X138) )
| ! [X136] :
( ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
& sP3(X129) )
| ~ r1(X128,X129) ) ) ) ) )
| ~ r1(X0,X124) )
& ! [X98] :
( ! [X99] :
( ~ r1(X98,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ( ! [X106] :
( ! [X107] :
( ~ r1(X106,X107)
| ! [X108] :
( p1(X108)
| ~ r1(X107,X108) ) )
| ? [X109] :
( r1(X106,X109)
& ~ p1(X109) )
| ~ r1(X100,X106) )
& ( p1(X100)
| ? [X103] :
( r1(X100,X103)
& ! [X104] :
( ~ r1(X103,X104)
| ~ p1(X104)
| ! [X105] :
( p1(X105)
| ~ r1(X104,X105) ) )
& ~ p1(X103) )
| ! [X101] :
( ? [X102] :
( ~ p1(X102)
& r1(X101,X102) )
| ~ r1(X100,X101) ) ) ) ) )
| ~ r1(X0,X98) ) ),
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X129] :
( ? [X139] :
( p1(X139)
& ! [X141] :
( ( ? [X144] :
( ~ p1(X144)
& r1(X141,X144) )
& p1(X141) )
| ~ r1(X139,X141)
| ! [X142] :
( ~ r1(X141,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
| ~ p1(X142) ) )
& r1(X129,X139)
& ? [X140] :
( r1(X139,X140)
& ~ p1(X140) ) )
| ~ sP0(X129) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X129] :
( ! [X149] :
( ~ r1(X129,X149)
| ! [X150] :
( ? [X151] :
( r1(X150,X151)
& ? [X152] :
( r1(X151,X152)
& ~ p1(X152) )
& p1(X151) )
| p1(X150)
| ~ r1(X149,X150) ) )
| ~ sP1(X129) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X129] :
( ! [X133] :
( ~ r1(X129,X133)
| ? [X134] :
( ~ p1(X134)
& r1(X133,X134) ) )
| p1(X129)
| ? [X130] :
( ! [X131] :
( ~ p1(X131)
| ~ r1(X130,X131)
| ! [X132] :
( ~ r1(X131,X132)
| p1(X132) ) )
& ~ p1(X130)
& r1(X129,X130) )
| ~ sP2(X129) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X129] :
( sP0(X129)
| ! [X145] :
( p1(X145)
| ~ r1(X129,X145) )
| ! [X146] :
( ? [X147] :
( ? [X148] :
( r1(X147,X148)
& ~ p1(X148) )
& p1(X147)
& r1(X146,X147) )
| ~ r1(X129,X146) )
| ~ p1(X129)
| ~ sP3(X129) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f6,plain,
? [X0] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ( ( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) ) )
& r1(X42,X43)
& ~ p1(X43) )
| p1(X42)
| ! [X46] :
( ? [X47] :
( ~ p1(X47)
& r1(X46,X47) )
| ~ r1(X42,X46) ) )
& ! [X48] :
( ~ r1(X42,X48)
| ? [X51] :
( ~ p1(X51)
& r1(X48,X51) )
| ! [X49] :
( ~ r1(X48,X49)
| ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X110] :
( ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ( ( ? [X121] :
( ~ p1(X121)
& ! [X122] :
( ! [X123] :
( ~ r1(X122,X123)
| p1(X123) )
| ~ r1(X121,X122)
| ~ p1(X122) )
& r1(X114,X121) )
| p1(X114)
| ! [X119] :
( ~ r1(X114,X119)
| ? [X120] :
( r1(X119,X120)
& ~ p1(X120) ) ) )
& ! [X115] :
( ~ r1(X114,X115)
| ? [X116] :
( ~ p1(X116)
& r1(X115,X116) )
| ! [X117] :
( ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X115,X117) ) ) ) ) )
| ~ r1(X111,X112) ) )
| ~ r1(X0,X110) )
& ! [X64] :
( ~ r1(X0,X64)
| ( ! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67) ) )
| ? [X68] :
( ~ p1(X68)
& r1(X65,X68) )
| ~ r1(X64,X65) )
& ( p1(X64)
| ? [X69] :
( r1(X64,X69)
& ~ p1(X69)
& ! [X70] :
( ~ p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| p1(X71) )
| ~ r1(X69,X70) ) )
| ! [X72] :
( ? [X73] :
( r1(X72,X73)
& ~ p1(X73) )
| ~ r1(X64,X72) ) ) ) )
& ! [X74] :
( ~ r1(X0,X74)
| ! [X75] :
( ( ( ? [X82] :
( ~ p1(X82)
& r1(X75,X82)
& ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) ) )
| p1(X75)
| ! [X80] :
( ~ r1(X75,X80)
| ? [X81] :
( r1(X80,X81)
& ~ p1(X81) ) ) )
& ! [X76] :
( ? [X79] :
( ~ p1(X79)
& r1(X76,X79) )
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( p1(X78)
| ~ r1(X77,X78) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X74,X75) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| ( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ~ r1(X8,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) ) )
& ( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ r1(X8,X12) )
| ? [X9] :
( ~ p1(X9)
& r1(X8,X9)
& ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) ) )
| p1(X8) ) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) ) ) ) ) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ( ( p1(X24)
| ! [X28] :
( ~ r1(X24,X28)
| ? [X29] :
( ~ p1(X29)
& r1(X28,X29) ) )
| ? [X25] :
( ~ p1(X25)
& ! [X26] :
( ~ p1(X26)
| ~ r1(X25,X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
& r1(X24,X25) ) )
& ! [X30] :
( ~ r1(X24,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( p1(X32)
| ~ r1(X31,X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) ) ) )
& ? [X52] :
( ? [X53] :
( r1(X52,X53)
& ? [X54] :
( ? [X55] :
( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ? [X58] :
( r1(X57,X58)
& ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ? [X60] :
( r1(X57,X60)
& ~ p1(X60) )
& ! [X61] :
( p1(X61)
| ? [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
& p1(X62)
& r1(X61,X62) )
| ~ r1(X57,X61) )
& r1(X56,X57) ) )
& r1(X54,X55) )
& r1(X53,X54) ) )
& r1(X0,X52) )
& ! [X85] :
( ~ r1(X0,X85)
| ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( ! [X88] :
( ~ r1(X87,X88)
| ( ( p1(X88)
| ? [X91] :
( r1(X88,X91)
& ~ p1(X91)
& ! [X92] :
( ~ p1(X92)
| ~ r1(X91,X92)
| ! [X93] :
( ~ r1(X92,X93)
| p1(X93) ) ) )
| ! [X89] :
( ~ r1(X88,X89)
| ? [X90] :
( ~ p1(X90)
& r1(X89,X90) ) ) )
& ! [X94] :
( ~ r1(X88,X94)
| ? [X95] :
( r1(X94,X95)
& ~ p1(X95) )
| ! [X96] :
( ! [X97] :
( p1(X97)
| ~ r1(X96,X97) )
| ~ r1(X94,X96) ) ) ) )
| ~ r1(X86,X87) ) ) )
& ! [X124] :
( ! [X125] :
( ~ r1(X124,X125)
| ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ! [X129] :
( ( ( ? [X153] :
( ~ p1(X153)
& ! [X154] :
( ! [X155] :
( ~ r1(X154,X155)
| p1(X155) )
| ~ r1(X153,X154)
| ~ p1(X154) )
& r1(X129,X153) )
| ! [X149] :
( ~ r1(X129,X149)
| ! [X150] :
( ? [X151] :
( r1(X150,X151)
& ? [X152] :
( r1(X151,X152)
& ~ p1(X152) )
& p1(X151) )
| p1(X150)
| ~ r1(X149,X150) ) ) )
& ( ! [X133] :
( ~ r1(X129,X133)
| ? [X134] :
( ~ p1(X134)
& r1(X133,X134) ) )
| p1(X129)
| ? [X130] :
( ! [X131] :
( ~ p1(X131)
| ~ r1(X130,X131)
| ! [X132] :
( ~ r1(X131,X132)
| p1(X132) ) )
& ~ p1(X130)
& r1(X129,X130) ) )
& ! [X135] :
( ~ r1(X129,X135)
| ? [X138] :
( ~ p1(X138)
& r1(X135,X138) )
| ! [X136] :
( ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
& ( ? [X139] :
( p1(X139)
& ! [X141] :
( ( ? [X144] :
( ~ p1(X144)
& r1(X141,X144) )
& p1(X141) )
| ~ r1(X139,X141)
| ! [X142] :
( ~ r1(X141,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
| ~ p1(X142) ) )
& r1(X129,X139)
& ? [X140] :
( r1(X139,X140)
& ~ p1(X140) ) )
| ! [X145] :
( p1(X145)
| ~ r1(X129,X145) )
| ! [X146] :
( ? [X147] :
( ? [X148] :
( r1(X147,X148)
& ~ p1(X148) )
& p1(X147)
& r1(X146,X147) )
| ~ r1(X129,X146) )
| ~ p1(X129) ) )
| ~ r1(X128,X129) ) ) ) ) )
| ~ r1(X0,X124) )
& ! [X98] :
( ! [X99] :
( ~ r1(X98,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ( ! [X106] :
( ! [X107] :
( ~ r1(X106,X107)
| ! [X108] :
( p1(X108)
| ~ r1(X107,X108) ) )
| ? [X109] :
( r1(X106,X109)
& ~ p1(X109) )
| ~ r1(X100,X106) )
& ( p1(X100)
| ? [X103] :
( r1(X100,X103)
& ! [X104] :
( ~ r1(X103,X104)
| ~ p1(X104)
| ! [X105] :
( p1(X105)
| ~ r1(X104,X105) ) )
& ~ p1(X103) )
| ! [X101] :
( ? [X102] :
( ~ p1(X102)
& r1(X101,X102) )
| ~ r1(X100,X101) ) ) ) ) )
| ~ r1(X0,X98) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ( ( p1(X24)
| ! [X28] :
( ~ r1(X24,X28)
| ? [X29] :
( ~ p1(X29)
& r1(X28,X29) ) )
| ? [X25] :
( ~ p1(X25)
& ! [X26] :
( ~ p1(X26)
| ~ r1(X25,X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) )
& r1(X24,X25) ) )
& ! [X30] :
( ~ r1(X24,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( p1(X32)
| ~ r1(X31,X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| ( ! [X14] :
( ? [X17] :
( ~ p1(X17)
& r1(X14,X17) )
| ~ r1(X8,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) ) )
& ( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ r1(X8,X12) )
| ? [X9] :
( ~ p1(X9)
& r1(X8,X9)
& ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) ) )
| p1(X8) ) ) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) ) ) ) ) ) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ! [X42] :
( ( ( ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) ) )
& r1(X42,X43)
& ~ p1(X43) )
| p1(X42)
| ! [X46] :
( ? [X47] :
( ~ p1(X47)
& r1(X46,X47) )
| ~ r1(X42,X46) ) )
& ! [X48] :
( ~ r1(X42,X48)
| ? [X51] :
( ~ p1(X51)
& r1(X48,X51) )
| ! [X49] :
( ~ r1(X48,X49)
| ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) )
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X98] :
( ! [X99] :
( ~ r1(X98,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ( ! [X106] :
( ! [X107] :
( ~ r1(X106,X107)
| ! [X108] :
( p1(X108)
| ~ r1(X107,X108) ) )
| ? [X109] :
( r1(X106,X109)
& ~ p1(X109) )
| ~ r1(X100,X106) )
& ( p1(X100)
| ? [X103] :
( r1(X100,X103)
& ! [X104] :
( ~ r1(X103,X104)
| ~ p1(X104)
| ! [X105] :
( p1(X105)
| ~ r1(X104,X105) ) )
& ~ p1(X103) )
| ! [X101] :
( ? [X102] :
( ~ p1(X102)
& r1(X101,X102) )
| ~ r1(X100,X101) ) ) ) ) )
| ~ r1(X0,X98) )
& ! [X110] :
( ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ~ r1(X113,X114)
| ( ( ? [X121] :
( ~ p1(X121)
& ! [X122] :
( ! [X123] :
( ~ r1(X122,X123)
| p1(X123) )
| ~ r1(X121,X122)
| ~ p1(X122) )
& r1(X114,X121) )
| p1(X114)
| ! [X119] :
( ~ r1(X114,X119)
| ? [X120] :
( r1(X119,X120)
& ~ p1(X120) ) ) )
& ! [X115] :
( ~ r1(X114,X115)
| ? [X116] :
( ~ p1(X116)
& r1(X115,X116) )
| ! [X117] :
( ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X115,X117) ) ) ) ) )
| ~ r1(X111,X112) ) )
| ~ r1(X0,X110) )
& ! [X85] :
( ~ r1(X0,X85)
| ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( ! [X88] :
( ~ r1(X87,X88)
| ( ( p1(X88)
| ? [X91] :
( r1(X88,X91)
& ~ p1(X91)
& ! [X92] :
( ~ p1(X92)
| ~ r1(X91,X92)
| ! [X93] :
( ~ r1(X92,X93)
| p1(X93) ) ) )
| ! [X89] :
( ~ r1(X88,X89)
| ? [X90] :
( ~ p1(X90)
& r1(X89,X90) ) ) )
& ! [X94] :
( ~ r1(X88,X94)
| ? [X95] :
( r1(X94,X95)
& ~ p1(X95) )
| ! [X96] :
( ! [X97] :
( p1(X97)
| ~ r1(X96,X97) )
| ~ r1(X94,X96) ) ) ) )
| ~ r1(X86,X87) ) ) )
& ! [X74] :
( ~ r1(X0,X74)
| ! [X75] :
( ( ( ? [X82] :
( ~ p1(X82)
& r1(X75,X82)
& ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) ) )
| p1(X75)
| ! [X80] :
( ~ r1(X75,X80)
| ? [X81] :
( r1(X80,X81)
& ~ p1(X81) ) ) )
& ! [X76] :
( ? [X79] :
( ~ p1(X79)
& r1(X76,X79) )
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( p1(X78)
| ~ r1(X77,X78) ) )
| ~ r1(X75,X76) ) )
| ~ r1(X74,X75) ) )
& ! [X64] :
( ~ r1(X0,X64)
| ( ! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67) ) )
| ? [X68] :
( ~ p1(X68)
& r1(X65,X68) )
| ~ r1(X64,X65) )
& ( p1(X64)
| ? [X69] :
( r1(X64,X69)
& ~ p1(X69)
& ! [X70] :
( ~ p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| p1(X71) )
| ~ r1(X69,X70) ) )
| ! [X72] :
( ? [X73] :
( r1(X72,X73)
& ~ p1(X73) )
| ~ r1(X64,X72) ) ) ) )
& ? [X52] :
( ? [X53] :
( r1(X52,X53)
& ? [X54] :
( ? [X55] :
( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ? [X58] :
( r1(X57,X58)
& ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ? [X60] :
( r1(X57,X60)
& ~ p1(X60) )
& ! [X61] :
( p1(X61)
| ? [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
& p1(X62)
& r1(X61,X62) )
| ~ r1(X57,X61) )
& r1(X56,X57) ) )
& r1(X54,X55) )
& r1(X53,X54) ) )
& r1(X0,X52) )
& ! [X124] :
( ! [X125] :
( ~ r1(X124,X125)
| ! [X126] :
( ~ r1(X125,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ! [X129] :
( ( ( ? [X153] :
( ~ p1(X153)
& ! [X154] :
( ! [X155] :
( ~ r1(X154,X155)
| p1(X155) )
| ~ r1(X153,X154)
| ~ p1(X154) )
& r1(X129,X153) )
| ! [X149] :
( ~ r1(X129,X149)
| ! [X150] :
( ? [X151] :
( r1(X150,X151)
& ? [X152] :
( r1(X151,X152)
& ~ p1(X152) )
& p1(X151) )
| p1(X150)
| ~ r1(X149,X150) ) ) )
& ( ! [X133] :
( ~ r1(X129,X133)
| ? [X134] :
( ~ p1(X134)
& r1(X133,X134) ) )
| p1(X129)
| ? [X130] :
( ! [X131] :
( ~ p1(X131)
| ~ r1(X130,X131)
| ! [X132] :
( ~ r1(X131,X132)
| p1(X132) ) )
& ~ p1(X130)
& r1(X129,X130) ) )
& ! [X135] :
( ~ r1(X129,X135)
| ? [X138] :
( ~ p1(X138)
& r1(X135,X138) )
| ! [X136] :
( ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) ) )
& ( ? [X139] :
( p1(X139)
& ! [X141] :
( ( ? [X144] :
( ~ p1(X144)
& r1(X141,X144) )
& p1(X141) )
| ~ r1(X139,X141)
| ! [X142] :
( ~ r1(X141,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
| ~ p1(X142) ) )
& r1(X129,X139)
& ? [X140] :
( r1(X139,X140)
& ~ p1(X140) ) )
| ! [X145] :
( p1(X145)
| ~ r1(X129,X145) )
| ! [X146] :
( ? [X147] :
( ? [X148] :
( r1(X147,X148)
& ~ p1(X148) )
& p1(X147)
& r1(X146,X147) )
| ~ r1(X129,X146) )
| ~ p1(X129) ) )
| ~ r1(X128,X129) ) ) ) ) )
| ~ r1(X0,X124) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ( ! [X30] :
( ~ r1(X24,X30)
| ~ ! [X33] :
( p1(X33)
| ~ r1(X30,X33) )
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( p1(X32)
| ~ r1(X31,X32) ) ) )
& ( ! [X28] :
( ~ r1(X24,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| p1(X29) ) )
| p1(X24)
| ~ ! [X25] :
( p1(X25)
| ~ r1(X24,X25)
| ~ ! [X26] :
( ~ p1(X26)
| ~ r1(X25,X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) ) ) ) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X20,X21) ) )
| ~ r1(X18,X19) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( p1(X8)
| ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ~ r1(X8,X9)
| p1(X9) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
| ~ r1(X8,X14)
| ~ ! [X17] :
( p1(X17)
| ~ r1(X14,X17) ) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X46] :
( ~ r1(X42,X46)
| ~ ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) )
| ~ ! [X43] :
( ~ r1(X42,X43)
| p1(X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) ) ) )
| p1(X42) )
& ! [X48] :
( ~ r1(X42,X48)
| ~ ! [X51] :
( ~ r1(X48,X51)
| p1(X51) )
| ! [X49] :
( ~ r1(X48,X49)
| ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) ) ) )
| ~ r1(X39,X40) ) )
| ~ r1(X37,X38) ) ) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
| ~ ( ! [X98] :
( ~ r1(X0,X98)
| ! [X99] :
( ! [X100] :
( ( ! [X106] :
( ~ r1(X100,X106)
| ~ ! [X109] :
( p1(X109)
| ~ r1(X106,X109) )
| ! [X107] :
( ~ r1(X106,X107)
| ! [X108] :
( p1(X108)
| ~ r1(X107,X108) ) ) )
& ( ! [X101] :
( ~ ! [X102] :
( ~ r1(X101,X102)
| p1(X102) )
| ~ r1(X100,X101) )
| ~ ! [X103] :
( ~ r1(X100,X103)
| p1(X103)
| ~ ! [X104] :
( ~ r1(X103,X104)
| ~ p1(X104)
| ! [X105] :
( p1(X105)
| ~ r1(X104,X105) ) ) )
| p1(X100) ) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) ) )
& ! [X110] :
( ~ r1(X0,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ( ! [X115] :
( ! [X117] :
( ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X115,X117) )
| ~ ! [X116] :
( ~ r1(X115,X116)
| p1(X116) )
| ~ r1(X114,X115) )
& ( ! [X119] :
( ~ ! [X120] :
( p1(X120)
| ~ r1(X119,X120) )
| ~ r1(X114,X119) )
| ~ ! [X121] :
( p1(X121)
| ~ ! [X122] :
( ! [X123] :
( ~ r1(X122,X123)
| p1(X123) )
| ~ r1(X121,X122)
| ~ p1(X122) )
| ~ r1(X114,X121) )
| p1(X114) ) )
| ~ r1(X113,X114) ) ) ) ) )
& ! [X85] :
( ! [X86] :
( ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ( ( ! [X89] :
( ~ ! [X90] :
( p1(X90)
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ ! [X91] :
( p1(X91)
| ~ r1(X88,X91)
| ~ ! [X92] :
( ~ p1(X92)
| ~ r1(X91,X92)
| ! [X93] :
( ~ r1(X92,X93)
| p1(X93) ) ) )
| p1(X88) )
& ! [X94] :
( ! [X96] :
( ! [X97] :
( p1(X97)
| ~ r1(X96,X97) )
| ~ r1(X94,X96) )
| ~ ! [X95] :
( ~ r1(X94,X95)
| p1(X95) )
| ~ r1(X88,X94) ) )
| ~ r1(X87,X88) ) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
& ! [X74] :
( ! [X75] :
( ~ r1(X74,X75)
| ( ( p1(X75)
| ~ ! [X82] :
( ~ r1(X75,X82)
| p1(X82)
| ~ ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) ) )
| ! [X80] :
( ~ ! [X81] :
( ~ r1(X80,X81)
| p1(X81) )
| ~ r1(X75,X80) ) )
& ! [X76] :
( ~ r1(X75,X76)
| ~ ! [X79] :
( ~ r1(X76,X79)
| p1(X79) )
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( p1(X78)
| ~ r1(X77,X78) ) ) ) ) )
| ~ r1(X0,X74) )
& ! [X64] :
( ~ r1(X0,X64)
| ( ! [X65] :
( ~ r1(X64,X65)
| ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67) ) )
| ~ ! [X68] :
( ~ r1(X65,X68)
| p1(X68) ) )
& ( p1(X64)
| ~ ! [X69] :
( ~ ! [X70] :
( ~ p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| p1(X71) )
| ~ r1(X69,X70) )
| p1(X69)
| ~ r1(X64,X69) )
| ! [X72] :
( ~ r1(X64,X72)
| ~ ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) ) ) ) )
& ~ ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ~ ! [X61] :
( p1(X61)
| ~ r1(X57,X61)
| ~ ! [X62] :
( ! [X63] :
( p1(X63)
| ~ r1(X62,X63) )
| ~ r1(X61,X62)
| ~ p1(X62) ) )
| ! [X60] :
( ~ r1(X57,X60)
| p1(X60) )
| ~ r1(X56,X57) ) )
| ~ r1(X54,X55) ) ) )
| ~ r1(X0,X52) ) )
| ~ ! [X124] :
( ! [X125] :
( ~ r1(X124,X125)
| ! [X126] :
( ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ! [X129] :
( ( ! [X135] :
( ! [X136] :
( ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| ~ ! [X138] :
( p1(X138)
| ~ r1(X135,X138) )
| ~ r1(X129,X135) )
& ( ~ ! [X139] :
( ~ p1(X139)
| ~ ! [X141] :
( ! [X142] :
( ~ r1(X141,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
| ~ p1(X142) )
| ~ ( ! [X144] :
( ~ r1(X141,X144)
| p1(X144) )
| ~ p1(X141) )
| ~ r1(X139,X141) )
| ~ r1(X129,X139)
| ! [X140] :
( ~ r1(X139,X140)
| p1(X140) ) )
| ~ p1(X129)
| ! [X146] :
( ~ r1(X129,X146)
| ~ ! [X147] :
( ~ r1(X146,X147)
| ! [X148] :
( ~ r1(X147,X148)
| p1(X148) )
| ~ p1(X147) ) )
| ! [X145] :
( p1(X145)
| ~ r1(X129,X145) ) )
& ( ! [X133] :
( ~ r1(X129,X133)
| ~ ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
| ~ ! [X130] :
( ~ ! [X131] :
( ~ p1(X131)
| ~ r1(X130,X131)
| ! [X132] :
( ~ r1(X131,X132)
| p1(X132) ) )
| p1(X130)
| ~ r1(X129,X130) )
| p1(X129) )
& ( ~ ! [X153] :
( p1(X153)
| ~ ! [X154] :
( ! [X155] :
( ~ r1(X154,X155)
| p1(X155) )
| ~ r1(X153,X154)
| ~ p1(X154) )
| ~ r1(X129,X153) )
| ! [X149] :
( ! [X150] :
( ~ r1(X149,X150)
| ~ ! [X151] :
( ! [X152] :
( ~ r1(X151,X152)
| p1(X152) )
| ~ r1(X150,X151)
| ~ p1(X151) )
| p1(X150) )
| ~ r1(X129,X149) ) ) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) ) )
| ~ r1(X125,X126) ) )
| ~ r1(X0,X124) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ( ! [X30] :
( ~ r1(X24,X30)
| ~ ! [X33] :
( p1(X33)
| ~ r1(X30,X33) )
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( p1(X32)
| ~ r1(X31,X32) ) ) )
& ( ! [X28] :
( ~ r1(X24,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| p1(X29) ) )
| p1(X24)
| ~ ! [X25] :
( p1(X25)
| ~ r1(X24,X25)
| ~ ! [X26] :
( ~ p1(X26)
| ~ r1(X25,X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) ) ) ) ) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X20,X21) ) )
| ~ r1(X18,X19) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( p1(X8)
| ~ ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ~ r1(X8,X9)
| p1(X9) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X8,X12) ) )
& ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
| ~ r1(X8,X14)
| ~ ! [X17] :
( p1(X17)
| ~ r1(X14,X17) ) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X46] :
( ~ r1(X42,X46)
| ~ ! [X47] :
( ~ r1(X46,X47)
| p1(X47) ) )
| ~ ! [X43] :
( ~ r1(X42,X43)
| p1(X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) ) ) )
| p1(X42) )
& ! [X48] :
( ~ r1(X42,X48)
| ~ ! [X51] :
( ~ r1(X48,X51)
| p1(X51) )
| ! [X49] :
( ~ r1(X48,X49)
| ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) ) ) )
| ~ r1(X39,X40) ) )
| ~ r1(X37,X38) ) ) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
| ~ ( ! [X98] :
( ~ r1(X0,X98)
| ! [X99] :
( ! [X100] :
( ( ! [X106] :
( ~ r1(X100,X106)
| ~ ! [X109] :
( p1(X109)
| ~ r1(X106,X109) )
| ! [X107] :
( ~ r1(X106,X107)
| ! [X108] :
( p1(X108)
| ~ r1(X107,X108) ) ) )
& ( ! [X101] :
( ~ ! [X102] :
( ~ r1(X101,X102)
| p1(X102) )
| ~ r1(X100,X101) )
| ~ ! [X103] :
( ~ r1(X100,X103)
| p1(X103)
| ~ ! [X104] :
( ~ r1(X103,X104)
| ~ p1(X104)
| ! [X105] :
( p1(X105)
| ~ r1(X104,X105) ) ) )
| p1(X100) ) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) ) )
& ! [X110] :
( ~ r1(X0,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ! [X113] :
( ~ r1(X112,X113)
| ! [X114] :
( ( ! [X115] :
( ! [X117] :
( ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X115,X117) )
| ~ ! [X116] :
( ~ r1(X115,X116)
| p1(X116) )
| ~ r1(X114,X115) )
& ( ! [X119] :
( ~ ! [X120] :
( p1(X120)
| ~ r1(X119,X120) )
| ~ r1(X114,X119) )
| ~ ! [X121] :
( p1(X121)
| ~ ! [X122] :
( ! [X123] :
( ~ r1(X122,X123)
| p1(X123) )
| ~ r1(X121,X122)
| ~ p1(X122) )
| ~ r1(X114,X121) )
| p1(X114) ) )
| ~ r1(X113,X114) ) ) ) ) )
& ! [X85] :
( ! [X86] :
( ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ( ( ! [X89] :
( ~ ! [X90] :
( p1(X90)
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ ! [X91] :
( p1(X91)
| ~ r1(X88,X91)
| ~ ! [X92] :
( ~ p1(X92)
| ~ r1(X91,X92)
| ! [X93] :
( ~ r1(X92,X93)
| p1(X93) ) ) )
| p1(X88) )
& ! [X94] :
( ! [X96] :
( ! [X97] :
( p1(X97)
| ~ r1(X96,X97) )
| ~ r1(X94,X96) )
| ~ ! [X95] :
( ~ r1(X94,X95)
| p1(X95) )
| ~ r1(X88,X94) ) )
| ~ r1(X87,X88) ) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
& ! [X74] :
( ! [X75] :
( ~ r1(X74,X75)
| ( ( p1(X75)
| ~ ! [X82] :
( ~ r1(X75,X82)
| p1(X82)
| ~ ! [X83] :
( ~ p1(X83)
| ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) ) )
| ! [X80] :
( ~ ! [X81] :
( ~ r1(X80,X81)
| p1(X81) )
| ~ r1(X75,X80) ) )
& ! [X76] :
( ~ r1(X75,X76)
| ~ ! [X79] :
( ~ r1(X76,X79)
| p1(X79) )
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( p1(X78)
| ~ r1(X77,X78) ) ) ) ) )
| ~ r1(X0,X74) )
& ! [X64] :
( ~ r1(X0,X64)
| ( ! [X65] :
( ~ r1(X64,X65)
| ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p1(X67) ) )
| ~ ! [X68] :
( ~ r1(X65,X68)
| p1(X68) ) )
& ( p1(X64)
| ~ ! [X69] :
( ~ ! [X70] :
( ~ p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| p1(X71) )
| ~ r1(X69,X70) )
| p1(X69)
| ~ r1(X64,X69) )
| ! [X72] :
( ~ r1(X64,X72)
| ~ ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) ) ) ) )
& ~ ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ~ ! [X61] :
( p1(X61)
| ~ r1(X57,X61)
| ~ ! [X62] :
( ! [X63] :
( p1(X63)
| ~ r1(X62,X63) )
| ~ r1(X61,X62)
| ~ p1(X62) ) )
| ! [X60] :
( ~ r1(X57,X60)
| p1(X60) )
| ~ r1(X56,X57) ) )
| ~ r1(X54,X55) ) ) )
| ~ r1(X0,X52) ) )
| ~ ! [X124] :
( ! [X125] :
( ~ r1(X124,X125)
| ! [X126] :
( ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ! [X129] :
( ( ! [X135] :
( ! [X136] :
( ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| ~ ! [X138] :
( p1(X138)
| ~ r1(X135,X138) )
| ~ r1(X129,X135) )
& ( ~ ! [X139] :
( ~ p1(X139)
| ~ ! [X141] :
( ! [X142] :
( ~ r1(X141,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
| ~ p1(X142) )
| ~ ( ! [X144] :
( ~ r1(X141,X144)
| p1(X144) )
| ~ p1(X141) )
| ~ r1(X139,X141) )
| ~ r1(X129,X139)
| ! [X140] :
( ~ r1(X139,X140)
| p1(X140) ) )
| ~ p1(X129)
| ! [X146] :
( ~ r1(X129,X146)
| ~ ! [X147] :
( ~ r1(X146,X147)
| ! [X148] :
( ~ r1(X147,X148)
| p1(X148) )
| ~ p1(X147) ) )
| ! [X145] :
( p1(X145)
| ~ r1(X129,X145) ) )
& ( ! [X133] :
( ~ r1(X129,X133)
| ~ ! [X134] :
( p1(X134)
| ~ r1(X133,X134) ) )
| ~ ! [X130] :
( ~ ! [X131] :
( ~ p1(X131)
| ~ r1(X130,X131)
| ! [X132] :
( ~ r1(X131,X132)
| p1(X132) ) )
| p1(X130)
| ~ r1(X129,X130) )
| p1(X129) )
& ( ~ ! [X153] :
( p1(X153)
| ~ ! [X154] :
( ! [X155] :
( ~ r1(X154,X155)
| p1(X155) )
| ~ r1(X153,X154)
| ~ p1(X154) )
| ~ r1(X129,X153) )
| ! [X149] :
( ! [X150] :
( ~ r1(X149,X150)
| ~ ! [X151] :
( ! [X152] :
( ~ r1(X151,X152)
| p1(X152) )
| ~ r1(X150,X151)
| ~ p1(X151) )
| p1(X150) )
| ~ r1(X129,X149) ) ) )
| ~ r1(X128,X129) )
| ~ r1(X127,X128) ) )
| ~ r1(X125,X126) ) )
| ~ r1(X0,X124) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| p1(X1)
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ( ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X0)
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p1(X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ) ) )
| ~ r1(X1,X0) ) )
& ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1)
| ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| ~ p1(X1) )
| p1(X0)
| ~ r1(X1,X0) ) )
& ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ r1(X0,X1) )
| p1(X0)
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| p1(X1)
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ( ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X0)
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p1(X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ) ) )
| ~ r1(X1,X0) ) )
& ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1)
| ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| ~ p1(X1) )
| p1(X0)
| ~ r1(X1,X0) ) )
& ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ r1(X0,X1) )
| p1(X0)
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
& ( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1707,plain,
( p1(sK41(sK7(sK37)))
| ~ spl50_210 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f7065,plain,
( spl50_210
| ~ spl50_154
| ~ spl50_213 ),
inference(avatar_split_clause,[],[f7063,f1718,f1285,f1705]) ).
fof(f1285,plain,
( spl50_154
<=> r1(sK40(sK7(sK37)),sK41(sK7(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_154])]) ).
fof(f1718,plain,
( spl50_213
<=> ! [X1] :
( p1(X1)
| ~ r1(sK40(sK7(sK37)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_213])]) ).
fof(f7063,plain,
( p1(sK41(sK7(sK37)))
| ~ spl50_154
| ~ spl50_213 ),
inference(resolution,[],[f1719,f1287]) ).
fof(f1287,plain,
( r1(sK40(sK7(sK37)),sK41(sK7(sK37)))
| ~ spl50_154 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1719,plain,
( ! [X1] :
( ~ r1(sK40(sK7(sK37)),X1)
| p1(X1) )
| ~ spl50_213 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f6885,plain,
( ~ spl50_171
| ~ spl50_177 ),
inference(avatar_contradiction_clause,[],[f6884]) ).
fof(f6884,plain,
( $false
| ~ spl50_171
| ~ spl50_177 ),
inference(resolution,[],[f6851,f127]) ).
fof(f127,plain,
r1(sK37,sK38),
inference(cnf_transformation,[],[f71]) ).
fof(f6851,plain,
( ~ r1(sK37,sK38)
| ~ spl50_171
| ~ spl50_177 ),
inference(resolution,[],[f1438,f1404]) ).
fof(f1404,plain,
( p1(sK6(sK38))
| ~ spl50_171 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1402,plain,
( spl50_171
<=> p1(sK6(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_171])]) ).
fof(f1438,plain,
( ! [X1] :
( ~ p1(sK6(X1))
| ~ r1(sK37,X1) )
| ~ spl50_177 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1437,plain,
( spl50_177
<=> ! [X1] :
( ~ p1(sK6(X1))
| ~ r1(sK37,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_177])]) ).
fof(f6765,plain,
( spl50_968
| ~ spl50_802
| ~ spl50_980 ),
inference(avatar_split_clause,[],[f6763,f6689,f5667,f6631]) ).
fof(f6631,plain,
( spl50_968
<=> p1(sK41(sK45(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_968])]) ).
fof(f5667,plain,
( spl50_802
<=> r1(sK40(sK45(sK37)),sK41(sK45(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_802])]) ).
fof(f6689,plain,
( spl50_980
<=> ! [X16] :
( p1(X16)
| ~ r1(sK40(sK45(sK37)),X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_980])]) ).
fof(f6763,plain,
( p1(sK41(sK45(sK37)))
| ~ spl50_802
| ~ spl50_980 ),
inference(resolution,[],[f6690,f5669]) ).
fof(f5669,plain,
( r1(sK40(sK45(sK37)),sK41(sK45(sK37)))
| ~ spl50_802 ),
inference(avatar_component_clause,[],[f5667]) ).
fof(f6690,plain,
( ! [X16] :
( ~ r1(sK40(sK45(sK37)),X16)
| p1(X16) )
| ~ spl50_980 ),
inference(avatar_component_clause,[],[f6689]) ).
fof(f6691,plain,
( spl50_115
| spl50_980
| ~ spl50_800
| spl50_806
| ~ spl50_801 ),
inference(avatar_split_clause,[],[f6574,f5662,f5691,f5657,f6689,f928]) ).
fof(f928,plain,
( spl50_115
<=> sP1(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_115])]) ).
fof(f5657,plain,
( spl50_800
<=> p1(sK40(sK45(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_800])]) ).
fof(f5691,plain,
( spl50_806
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X2,X3)
| ~ r1(X0,sK37)
| ~ r1(sK13,X4)
| ~ r1(X4,X2)
| ~ r1(X3,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_806])]) ).
fof(f5662,plain,
( spl50_801
<=> r1(sK45(sK37),sK40(sK45(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_801])]) ).
fof(f6574,plain,
( ! [X18,X16,X14,X17,X15,X13] :
( ~ r1(sK13,X15)
| ~ p1(sK40(sK45(sK37)))
| ~ r1(X14,X13)
| ~ r1(X13,sK37)
| ~ r1(X17,X18)
| p1(X16)
| ~ r1(X18,X14)
| ~ r1(sK40(sK45(sK37)),X16)
| ~ r1(X15,X17)
| sP1(sK37) )
| ~ spl50_801 ),
inference(resolution,[],[f5664,f106]) ).
fof(f106,plain,
! [X113,X120,X119,X116,X117,X114,X115,X112] :
( ~ r1(sK45(X117),X119)
| ~ r1(X116,X117)
| ~ p1(X119)
| ~ r1(X115,X116)
| ~ r1(sK13,X112)
| sP1(X117)
| ~ r1(X119,X120)
| p1(X120)
| ~ r1(X113,X114)
| ~ r1(X112,X113)
| ~ r1(X114,X115) ),
inference(cnf_transformation,[],[f71]) ).
fof(f5664,plain,
( r1(sK45(sK37),sK40(sK45(sK37)))
| ~ spl50_801 ),
inference(avatar_component_clause,[],[f5662]) ).
fof(f6670,plain,
( spl50_798
| ~ spl50_116
| ~ spl50_968 ),
inference(avatar_split_clause,[],[f6669,f6631,f932,f5649]) ).
fof(f5649,plain,
( spl50_798
<=> p1(sK45(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_798])]) ).
fof(f932,plain,
( spl50_116
<=> r1(sK37,sK45(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_116])]) ).
fof(f6669,plain,
( ~ r1(sK37,sK45(sK37))
| p1(sK45(sK37))
| ~ spl50_968 ),
inference(resolution,[],[f6633,f123]) ).
fof(f6633,plain,
( p1(sK41(sK45(sK37)))
| ~ spl50_968 ),
inference(avatar_component_clause,[],[f6631]) ).
fof(f6497,plain,
~ spl50_806,
inference(avatar_contradiction_clause,[],[f6496]) ).
fof(f6496,plain,
( $false
| ~ spl50_806 ),
inference(resolution,[],[f6493,f119]) ).
fof(f119,plain,
r1(sK36,sK37),
inference(cnf_transformation,[],[f71]) ).
fof(f6493,plain,
( ~ r1(sK36,sK37)
| ~ spl50_806 ),
inference(resolution,[],[f6490,f128]) ).
fof(f128,plain,
r1(sK35,sK36),
inference(cnf_transformation,[],[f71]) ).
fof(f6490,plain,
( ! [X0] :
( ~ r1(sK35,X0)
| ~ r1(X0,sK37) )
| ~ spl50_806 ),
inference(resolution,[],[f6487,f118]) ).
fof(f118,plain,
r1(sK34,sK35),
inference(cnf_transformation,[],[f71]) ).
fof(f6487,plain,
( ! [X0,X1] :
( ~ r1(sK34,X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK37) )
| ~ spl50_806 ),
inference(resolution,[],[f6409,f117]) ).
fof(f117,plain,
r1(sK33,sK34),
inference(cnf_transformation,[],[f71]) ).
fof(f6409,plain,
( ! [X2,X0,X1] :
( ~ r1(sK33,X0)
| ~ r1(X2,sK37)
| ~ r1(X0,X1)
| ~ r1(X1,X2) )
| ~ spl50_806 ),
inference(resolution,[],[f6401,f129]) ).
fof(f129,plain,
r1(sK32,sK33),
inference(cnf_transformation,[],[f71]) ).
fof(f6401,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK32,X2)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X1,X3)
| ~ r1(X3,sK37) )
| ~ spl50_806 ),
inference(resolution,[],[f5692,f116]) ).
fof(f116,plain,
r1(sK13,sK32),
inference(cnf_transformation,[],[f71]) ).
fof(f5692,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK13,X4)
| ~ r1(X3,X1)
| ~ r1(X4,X2)
| ~ r1(X0,sK37)
| ~ r1(X2,X3)
| ~ r1(X1,X0) )
| ~ spl50_806 ),
inference(avatar_component_clause,[],[f5691]) ).
fof(f5693,plain,
( spl50_115
| spl50_806
| ~ spl50_798 ),
inference(avatar_split_clause,[],[f5689,f5649,f5691,f928]) ).
fof(f5689,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X2,X3)
| ~ r1(X1,X0)
| ~ r1(X3,X1)
| sP1(sK37)
| ~ r1(X4,X2)
| ~ r1(sK13,X4)
| ~ r1(X0,sK37) )
| ~ spl50_798 ),
inference(resolution,[],[f5651,f107]) ).
fof(f107,plain,
! [X113,X116,X117,X114,X115,X112] :
( ~ p1(sK45(X117))
| ~ r1(X116,X117)
| ~ r1(X115,X116)
| ~ r1(X113,X114)
| ~ r1(sK13,X112)
| ~ r1(X112,X113)
| sP1(X117)
| ~ r1(X114,X115) ),
inference(cnf_transformation,[],[f71]) ).
fof(f5651,plain,
( p1(sK45(sK37))
| ~ spl50_798 ),
inference(avatar_component_clause,[],[f5649]) ).
fof(f5670,plain,
( spl50_802
| spl50_798
| ~ spl50_116 ),
inference(avatar_split_clause,[],[f5621,f932,f5649,f5667]) ).
fof(f5621,plain,
( p1(sK45(sK37))
| r1(sK40(sK45(sK37)),sK41(sK45(sK37)))
| ~ spl50_116 ),
inference(resolution,[],[f934,f122]) ).
fof(f122,plain,
! [X96] :
( ~ r1(sK37,X96)
| p1(X96)
| r1(sK40(X96),sK41(X96)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f934,plain,
( r1(sK37,sK45(sK37))
| ~ spl50_116 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f5665,plain,
( spl50_801
| spl50_798
| ~ spl50_116 ),
inference(avatar_split_clause,[],[f5619,f932,f5649,f5662]) ).
fof(f5619,plain,
( p1(sK45(sK37))
| r1(sK45(sK37),sK40(sK45(sK37)))
| ~ spl50_116 ),
inference(resolution,[],[f934,f120]) ).
fof(f120,plain,
! [X96] :
( ~ r1(sK37,X96)
| p1(X96)
| r1(X96,sK40(X96)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f5660,plain,
( spl50_798
| spl50_800
| ~ spl50_116 ),
inference(avatar_split_clause,[],[f5620,f932,f5657,f5649]) ).
fof(f5620,plain,
( p1(sK40(sK45(sK37)))
| p1(sK45(sK37))
| ~ spl50_116 ),
inference(resolution,[],[f934,f121]) ).
fof(f121,plain,
! [X96] :
( ~ r1(sK37,X96)
| p1(X96)
| p1(sK40(X96)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f5604,plain,
( ~ spl50_49
| ~ spl50_115 ),
inference(avatar_split_clause,[],[f5119,f928,f455]) ).
fof(f455,plain,
( spl50_49
<=> sP0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_49])]) ).
fof(f5119,plain,
( ~ sP0(sK37)
| ~ spl50_115 ),
inference(resolution,[],[f5109,f930]) ).
fof(f930,plain,
( sP1(sK37)
| ~ spl50_115 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f5109,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f5108]) ).
fof(f5108,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f5087,f86]) ).
fof(f86,plain,
! [X0] :
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( p1(sK10(X0))
& ! [X2] :
( ( ~ p1(sK11(X2))
& r1(X2,sK11(X2))
& p1(X2) )
| ~ r1(sK10(X0),X2)
| ! [X4] :
( ~ r1(X2,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
& r1(X0,sK10(X0))
& r1(sK10(X0),sK12(X0))
& ~ p1(sK12(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f28,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& ! [X2] :
( ( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& p1(X2) )
| ~ r1(X1,X2)
| ! [X4] :
( ~ r1(X2,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
& r1(X0,X1)
& ? [X6] :
( r1(X1,X6)
& ~ p1(X6) ) )
=> ( p1(sK10(X0))
& ! [X2] :
( ( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& p1(X2) )
| ~ r1(sK10(X0),X2)
| ! [X4] :
( ~ r1(X2,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
& r1(X0,sK10(X0))
& ? [X6] :
( r1(sK10(X0),X6)
& ~ p1(X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X6] :
( r1(sK10(X0),X6)
& ~ p1(X6) )
=> ( r1(sK10(X0),sK12(X0))
& ~ p1(sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& ! [X2] :
( ( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& p1(X2) )
| ~ r1(X1,X2)
| ! [X4] :
( ~ r1(X2,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
& r1(X0,X1)
& ? [X6] :
( r1(X1,X6)
& ~ p1(X6) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X129] :
( ? [X139] :
( p1(X139)
& ! [X141] :
( ( ? [X144] :
( ~ p1(X144)
& r1(X141,X144) )
& p1(X141) )
| ~ r1(X139,X141)
| ! [X142] :
( ~ r1(X141,X142)
| ! [X143] :
( ~ r1(X142,X143)
| p1(X143) )
| ~ p1(X142) ) )
& r1(X129,X139)
& ? [X140] :
( r1(X139,X140)
& ~ p1(X140) ) )
| ~ sP0(X129) ),
inference(nnf_transformation,[],[f7]) ).
fof(f5087,plain,
! [X0] :
( p1(sK12(X0))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f5086]) ).
fof(f5086,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ sP1(X0)
| ~ sP0(X0)
| p1(sK12(X0)) ),
inference(resolution,[],[f3944,f88]) ).
fof(f88,plain,
! [X0] :
( r1(X0,sK10(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f3944,plain,
! [X0,X1] :
( ~ r1(X1,sK10(X0))
| ~ sP1(X1)
| ~ sP1(X0)
| p1(sK12(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f3943]) ).
fof(f3943,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ sP1(X1)
| ~ sP1(X0)
| ~ r1(X1,sK10(X0))
| ~ sP0(X0)
| p1(sK12(X0)) ),
inference(resolution,[],[f3595,f87]) ).
fof(f87,plain,
! [X0] :
( r1(sK10(X0),sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f3595,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK12(X0))
| ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X1,X2)
| ~ sP1(X1)
| p1(sK12(X0)) ),
inference(duplicate_literal_removal,[],[f3594]) ).
fof(f3594,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| p1(sK12(X0))
| ~ sP1(X0)
| p1(sK12(X0))
| ~ r1(X2,sK12(X0))
| ~ sP1(X1)
| ~ sP0(X0) ),
inference(resolution,[],[f3251,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ p1(sK9(X2))
| ~ sP1(X0)
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ( r1(X2,sK8(X2))
& r1(sK8(X2),sK9(X2))
& ~ p1(sK9(X2))
& p1(sK8(X2)) )
| p1(X2)
| ~ r1(X1,X2) ) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f23,f25,f24]) ).
fof(f24,plain,
! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3) )
=> ( r1(X2,sK8(X2))
& ? [X4] :
( r1(sK8(X2),X4)
& ~ p1(X4) )
& p1(sK8(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X2] :
( ? [X4] :
( r1(sK8(X2),X4)
& ~ p1(X4) )
=> ( r1(sK8(X2),sK9(X2))
& ~ p1(sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3) )
| p1(X2)
| ~ r1(X1,X2) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X129] :
( ! [X149] :
( ~ r1(X129,X149)
| ! [X150] :
( ? [X151] :
( r1(X150,X151)
& ? [X152] :
( r1(X151,X152)
& ~ p1(X152) )
& p1(X151) )
| p1(X150)
| ~ r1(X149,X150) ) )
| ~ sP1(X129) ),
inference(nnf_transformation,[],[f8]) ).
fof(f3251,plain,
! [X0] :
( p1(sK9(sK12(X0)))
| ~ sP0(X0)
| p1(sK12(X0))
| ~ sP1(X0) ),
inference(duplicate_literal_removal,[],[f3250]) ).
fof(f3250,plain,
! [X0] :
( ~ sP0(X0)
| p1(sK9(sK12(X0)))
| ~ sP0(X0)
| p1(sK12(X0))
| ~ sP1(X0)
| ~ sP1(X0)
| p1(sK12(X0)) ),
inference(resolution,[],[f2943,f907]) ).
fof(f907,plain,
! [X0] :
( p1(sK8(sK12(X0)))
| p1(sK12(X0))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f906]) ).
fof(f906,plain,
! [X0] :
( ~ sP0(X0)
| p1(sK12(X0))
| p1(sK8(sK12(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f219,f88]) ).
fof(f219,plain,
! [X2,X3] :
( ~ r1(X3,sK10(X2))
| ~ sP1(X3)
| p1(sK8(sK12(X2)))
| ~ sP0(X2)
| p1(sK12(X2)) ),
inference(resolution,[],[f82,f87]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| ~ sP1(X0)
| p1(sK8(X2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f2943,plain,
! [X0] :
( ~ p1(sK8(sK12(X0)))
| p1(sK12(X0))
| ~ sP1(X0)
| ~ sP0(X0)
| p1(sK9(sK12(X0))) ),
inference(duplicate_literal_removal,[],[f2941]) ).
fof(f2941,plain,
! [X0] :
( ~ p1(sK8(sK12(X0)))
| ~ sP1(X0)
| p1(sK12(X0))
| ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X0)
| p1(sK9(sK12(X0))) ),
inference(resolution,[],[f2294,f1761]) ).
fof(f1761,plain,
! [X0] :
( r1(sK8(sK12(X0)),sK9(sK12(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f1760]) ).
fof(f1760,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| r1(sK8(sK12(X0)),sK9(sK12(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f993,f86]) ).
fof(f993,plain,
! [X0] :
( p1(sK12(X0))
| ~ sP1(X0)
| r1(sK8(sK12(X0)),sK9(sK12(X0)))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f992]) ).
fof(f992,plain,
! [X0] :
( p1(sK12(X0))
| r1(sK8(sK12(X0)),sK9(sK12(X0)))
| ~ sP0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f416,f88]) ).
fof(f416,plain,
! [X2,X3] :
( ~ r1(X3,sK10(X2))
| r1(sK8(sK12(X2)),sK9(sK12(X2)))
| ~ sP1(X3)
| p1(sK12(X2))
| ~ sP0(X2) ),
inference(resolution,[],[f84,f87]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| r1(sK8(X2),sK9(X2))
| ~ r1(X0,X1)
| ~ sP1(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f2294,plain,
! [X2,X3] :
( ~ r1(sK8(sK12(X2)),X3)
| ~ sP0(X2)
| p1(X3)
| ~ sP1(X2)
| ~ p1(sK8(sK12(X2)))
| p1(sK12(X2)) ),
inference(duplicate_literal_removal,[],[f2286]) ).
fof(f2286,plain,
! [X2,X3] :
( ~ r1(sK8(sK12(X2)),X3)
| ~ sP0(X2)
| p1(X3)
| ~ sP0(X2)
| ~ p1(sK8(sK12(X2)))
| p1(sK12(X2))
| ~ sP1(X2) ),
inference(resolution,[],[f949,f572]) ).
fof(f572,plain,
! [X2,X0,X1] :
( ~ r1(sK12(X2),X1)
| ~ sP0(X2)
| p1(sK12(X2))
| ~ r1(X1,X0)
| p1(X0)
| ~ p1(X1) ),
inference(duplicate_literal_removal,[],[f570]) ).
fof(f570,plain,
! [X2,X0,X1] :
( ~ r1(sK12(X2),X1)
| ~ sP0(X2)
| ~ p1(X1)
| ~ r1(X1,X0)
| p1(X0)
| p1(sK12(X2))
| ~ sP0(X2) ),
inference(resolution,[],[f89,f87]) ).
fof(f89,plain,
! [X2,X0,X4,X5] :
( ~ r1(sK10(X0),X2)
| p1(X5)
| ~ p1(X4)
| p1(X2)
| ~ r1(X4,X5)
| ~ sP0(X0)
| ~ r1(X2,X4) ),
inference(cnf_transformation,[],[f32]) ).
fof(f949,plain,
! [X0] :
( r1(sK12(X0),sK8(sK12(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f948]) ).
fof(f948,plain,
! [X0] :
( r1(sK12(X0),sK8(sK12(X0)))
| ~ sP0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f947,f86]) ).
fof(f947,plain,
! [X0] :
( p1(sK12(X0))
| ~ sP1(X0)
| r1(sK12(X0),sK8(sK12(X0)))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f946]) ).
fof(f946,plain,
! [X0] :
( ~ sP0(X0)
| r1(sK12(X0),sK8(sK12(X0)))
| ~ sP0(X0)
| p1(sK12(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f309,f88]) ).
fof(f309,plain,
! [X2,X3] :
( ~ r1(X2,sK10(X3))
| p1(sK12(X3))
| r1(sK12(X3),sK8(sK12(X3)))
| ~ sP0(X3)
| ~ sP1(X2) ),
inference(resolution,[],[f85,f87]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| ~ sP1(X0)
| r1(X2,sK8(X2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f5591,plain,
( spl50_188
| ~ spl50_82
| ~ spl50_193 ),
inference(avatar_split_clause,[],[f5589,f1549,f663,f1529]) ).
fof(f1529,plain,
( spl50_188
<=> p1(sK5(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_188])]) ).
fof(f663,plain,
( spl50_82
<=> r1(sK4(sK38),sK5(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_82])]) ).
fof(f1549,plain,
( spl50_193
<=> ! [X2] :
( p1(X2)
| ~ r1(sK4(sK38),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_193])]) ).
fof(f5589,plain,
( p1(sK5(sK38))
| ~ spl50_82
| ~ spl50_193 ),
inference(resolution,[],[f1550,f665]) ).
fof(f665,plain,
( r1(sK4(sK38),sK5(sK38))
| ~ spl50_82 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f1550,plain,
( ! [X2] :
( ~ r1(sK4(sK38),X2)
| p1(X2) )
| ~ spl50_193 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f5548,plain,
( spl50_76
| ~ spl50_178 ),
inference(avatar_split_clause,[],[f5529,f1441,f593]) ).
fof(f593,plain,
( spl50_76
<=> r1(sK38,sK6(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_76])]) ).
fof(f1441,plain,
( spl50_178
<=> ! [X0] :
( ~ r1(sK37,X0)
| r1(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_178])]) ).
fof(f5529,plain,
( r1(sK38,sK6(sK38))
| ~ spl50_178 ),
inference(resolution,[],[f1442,f127]) ).
fof(f1442,plain,
( ! [X0] :
( ~ r1(sK37,X0)
| r1(X0,sK6(X0)) )
| ~ spl50_178 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f5534,plain,
( spl50_78
| ~ spl50_77
| spl50_13
| ~ spl50_171 ),
inference(avatar_split_clause,[],[f5533,f1402,f253,f597,f601]) ).
fof(f597,plain,
( spl50_77
<=> sP2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_77])]) ).
fof(f253,plain,
( spl50_13
<=> p1(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_13])]) ).
fof(f5533,plain,
( p1(sK37)
| ~ sP2(sK37)
| r1(sK37,sK7(sK37))
| ~ spl50_171 ),
inference(resolution,[],[f5207,f127]) ).
fof(f5207,plain,
( ! [X0] :
( ~ r1(X0,sK38)
| r1(X0,sK7(X0))
| p1(X0)
| ~ sP2(X0) )
| ~ spl50_171 ),
inference(resolution,[],[f1404,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| r1(X0,sK7(X0))
| ~ r1(X0,X1)
| ~ sP2(X0)
| p1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) ) )
| p1(X0)
| ( ! [X4] :
( ~ p1(X4)
| ~ r1(sK7(X0),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f18,f20,f19]) ).
fof(f19,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
& ~ p1(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p1(X4)
| ~ r1(sK7(X0),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| p1(X0)
| ? [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) ) )
& ~ p1(X3)
& r1(X0,X3) )
| ~ sP2(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X129] :
( ! [X133] :
( ~ r1(X129,X133)
| ? [X134] :
( ~ p1(X134)
& r1(X133,X134) ) )
| p1(X129)
| ? [X130] :
( ! [X131] :
( ~ p1(X131)
| ~ r1(X130,X131)
| ! [X132] :
( ~ r1(X131,X132)
| p1(X132) ) )
& ~ p1(X130)
& r1(X129,X130) )
| ~ sP2(X129) ),
inference(nnf_transformation,[],[f9]) ).
fof(f5316,plain,
( spl50_13
| ~ spl50_149
| ~ spl50_77
| spl50_177
| spl50_213
| ~ spl50_151 ),
inference(avatar_split_clause,[],[f1669,f1270,f1718,f1437,f597,f1260,f253]) ).
fof(f1260,plain,
( spl50_149
<=> p1(sK40(sK7(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_149])]) ).
fof(f1270,plain,
( spl50_151
<=> r1(sK7(sK37),sK40(sK7(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_151])]) ).
fof(f1669,plain,
( ! [X2,X3] :
( ~ r1(sK40(sK7(sK37)),X2)
| p1(X2)
| ~ p1(sK6(X3))
| ~ r1(sK37,X3)
| ~ sP2(sK37)
| ~ p1(sK40(sK7(sK37)))
| p1(sK37) )
| ~ spl50_151 ),
inference(resolution,[],[f1272,f81]) ).
fof(f81,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ sP2(X0)
| ~ r1(X4,X5)
| ~ p1(sK6(X1))
| ~ p1(X4)
| p1(X5)
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f1272,plain,
( r1(sK7(sK37),sK40(sK7(sK37)))
| ~ spl50_151 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f5160,plain,
( spl50_13
| ~ spl50_149
| spl50_178
| ~ spl50_77
| spl50_213
| ~ spl50_151 ),
inference(avatar_split_clause,[],[f1668,f1270,f1718,f597,f1441,f1260,f253]) ).
fof(f1668,plain,
( ! [X0,X1] :
( ~ r1(sK40(sK7(sK37)),X1)
| ~ sP2(sK37)
| r1(X0,sK6(X0))
| ~ p1(sK40(sK7(sK37)))
| ~ r1(sK37,X0)
| p1(X1)
| p1(sK37) )
| ~ spl50_151 ),
inference(resolution,[],[f1272,f78]) ).
fof(f78,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X5)
| ~ r1(X4,X5)
| ~ p1(X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f5159,plain,
( spl50_193
| ~ spl50_75
| ~ spl50_167 ),
inference(avatar_split_clause,[],[f5155,f1374,f588,f1549]) ).
fof(f588,plain,
( spl50_75
<=> r1(sK38,sK4(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_75])]) ).
fof(f1374,plain,
( spl50_167
<=> ! [X2,X3] :
( ~ r1(sK38,X2)
| p1(X3)
| ~ r1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_167])]) ).
fof(f5155,plain,
( ! [X0] :
( ~ r1(sK4(sK38),X0)
| p1(X0) )
| ~ spl50_75
| ~ spl50_167 ),
inference(resolution,[],[f1375,f590]) ).
fof(f590,plain,
( r1(sK38,sK4(sK38))
| ~ spl50_75 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f1375,plain,
( ! [X2,X3] :
( ~ r1(sK38,X2)
| p1(X3)
| ~ r1(X2,X3) )
| ~ spl50_167 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f5153,plain,
~ spl50_230,
inference(avatar_contradiction_clause,[],[f5152]) ).
fof(f5152,plain,
( $false
| ~ spl50_230 ),
inference(resolution,[],[f5149,f127]) ).
fof(f5149,plain,
( ~ r1(sK37,sK38)
| ~ spl50_230 ),
inference(resolution,[],[f5146,f119]) ).
fof(f5146,plain,
( ! [X0] :
( ~ r1(sK36,X0)
| ~ r1(X0,sK38) )
| ~ spl50_230 ),
inference(resolution,[],[f5143,f128]) ).
fof(f5143,plain,
( ! [X0,X1] :
( ~ r1(sK35,X1)
| ~ r1(X0,sK38)
| ~ r1(X1,X0) )
| ~ spl50_230 ),
inference(resolution,[],[f5140,f118]) ).
fof(f5140,plain,
( ! [X2,X0,X1] :
( ~ r1(sK34,X2)
| ~ r1(X1,sK38)
| ~ r1(X0,X1)
| ~ r1(X2,X0) )
| ~ spl50_230 ),
inference(resolution,[],[f5138,f117]) ).
fof(f5138,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK33,X1)
| ~ r1(X3,X0)
| ~ r1(X1,X2)
| ~ r1(X0,sK38)
| ~ r1(X2,X3) )
| ~ spl50_230 ),
inference(resolution,[],[f5136,f129]) ).
fof(f5136,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK32,X0)
| ~ r1(X3,sK38)
| ~ r1(X0,X1)
| ~ r1(X2,X4)
| ~ r1(X1,X2)
| ~ r1(X4,X3) )
| ~ spl50_230 ),
inference(resolution,[],[f1844,f116]) ).
fof(f1844,plain,
( ! [X2,X3,X0,X1,X7,X4] :
( ~ r1(sK13,X2)
| ~ r1(X3,X4)
| ~ r1(X4,X0)
| ~ r1(X2,X3)
| ~ r1(X7,sK38)
| ~ r1(X0,X1)
| ~ r1(X1,X7) )
| ~ spl50_230 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1843,plain,
( spl50_230
<=> ! [X2,X4,X7,X0,X3,X1] :
( ~ r1(X3,X4)
| ~ r1(X1,X7)
| ~ r1(X0,X1)
| ~ r1(X7,sK38)
| ~ r1(sK13,X2)
| ~ r1(X2,X3)
| ~ r1(X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_230])]) ).
fof(f2620,plain,
( ~ spl50_47
| spl50_49
| spl50_48
| ~ spl50_13
| ~ spl50_188 ),
inference(avatar_split_clause,[],[f2619,f1529,f253,f452,f455,f448]) ).
fof(f448,plain,
( spl50_47
<=> sP3(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_47])]) ).
fof(f452,plain,
( spl50_48
<=> ! [X10] :
( ~ r1(sK37,X10)
| p1(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_48])]) ).
fof(f2619,plain,
( ! [X0] :
( ~ p1(sK37)
| p1(X0)
| sP0(sK37)
| ~ sP3(sK37)
| ~ r1(sK37,X0) )
| ~ spl50_188 ),
inference(resolution,[],[f2009,f127]) ).
fof(f2009,plain,
( ! [X0,X1] :
( ~ r1(X0,sK38)
| ~ r1(X0,X1)
| ~ sP3(X0)
| sP0(X0)
| p1(X1)
| ~ p1(X0) )
| ~ spl50_188 ),
inference(resolution,[],[f1531,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ p1(sK5(X2))
| ~ p1(X0)
| sP0(X0)
| ~ r1(X0,X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ( r1(sK4(X2),sK5(X2))
& ~ p1(sK5(X2))
& p1(sK4(X2))
& r1(X2,sK4(X2)) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f13,f15,f14]) ).
fof(f14,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3)
& r1(X2,X3) )
=> ( ? [X4] :
( r1(sK4(X2),X4)
& ~ p1(X4) )
& p1(sK4(X2))
& r1(X2,sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X2] :
( ? [X4] :
( r1(sK4(X2),X4)
& ~ p1(X4) )
=> ( r1(sK4(X2),sK5(X2))
& ~ p1(sK5(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ? [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3)
& r1(X2,X3) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X129] :
( sP0(X129)
| ! [X145] :
( p1(X145)
| ~ r1(X129,X145) )
| ! [X146] :
( ? [X147] :
( ? [X148] :
( r1(X147,X148)
& ~ p1(X148) )
& p1(X147)
& r1(X146,X147) )
| ~ r1(X129,X146) )
| ~ p1(X129)
| ~ sP3(X129) ),
inference(nnf_transformation,[],[f10]) ).
fof(f1531,plain,
( p1(sK5(sK38))
| ~ spl50_188 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1845,plain,
( spl50_167
| spl50_230
| ~ spl50_227 ),
inference(avatar_split_clause,[],[f1841,f1823,f1843,f1374]) ).
fof(f1823,plain,
( spl50_227
<=> p1(sK46(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_227])]) ).
fof(f1841,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(X3,X4)
| ~ r1(sK38,X5)
| ~ r1(X4,X0)
| ~ r1(X5,X6)
| ~ r1(sK13,X2)
| ~ r1(X7,sK38)
| ~ r1(X0,X1)
| p1(X6)
| ~ r1(X1,X7)
| ~ r1(X2,X3) )
| ~ spl50_227 ),
inference(resolution,[],[f1825,f103]) ).
fof(f103,plain,
! [X113,X121,X116,X117,X124,X114,X115,X112,X123] :
( ~ p1(sK46(X121))
| ~ r1(X115,X116)
| ~ r1(sK13,X112)
| ~ r1(X113,X114)
| ~ r1(X123,X124)
| ~ r1(X121,X123)
| ~ r1(X117,X121)
| ~ r1(X116,X117)
| p1(X124)
| ~ r1(X114,X115)
| ~ r1(X112,X113) ),
inference(cnf_transformation,[],[f71]) ).
fof(f1825,plain,
( p1(sK46(sK38))
| ~ spl50_227 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1837,plain,
( spl50_227
| ~ spl50_166 ),
inference(avatar_split_clause,[],[f1810,f1370,f1823]) ).
fof(f1370,plain,
( spl50_166
<=> r1(sK38,sK46(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_166])]) ).
fof(f1810,plain,
( p1(sK46(sK38))
| ~ spl50_166 ),
inference(resolution,[],[f1372,f126]) ).
fof(f126,plain,
! [X94] :
( ~ r1(sK38,X94)
| p1(X94) ),
inference(cnf_transformation,[],[f71]) ).
fof(f1372,plain,
( r1(sK38,sK46(sK38))
| ~ spl50_166 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1443,plain,
( spl50_13
| ~ spl50_77
| spl50_178
| ~ spl50_148 ),
inference(avatar_split_clause,[],[f1434,f1256,f1441,f597,f253]) ).
fof(f1434,plain,
( ! [X0] :
( ~ r1(sK37,X0)
| ~ sP2(sK37)
| p1(sK37)
| r1(X0,sK6(X0)) )
| ~ spl50_148 ),
inference(resolution,[],[f1258,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f1258,plain,
( p1(sK7(sK37))
| ~ spl50_148 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1439,plain,
( ~ spl50_77
| spl50_13
| spl50_177
| ~ spl50_148 ),
inference(avatar_split_clause,[],[f1435,f1256,f1437,f253,f597]) ).
fof(f1435,plain,
( ! [X1] :
( ~ p1(sK6(X1))
| p1(sK37)
| ~ r1(sK37,X1)
| ~ sP2(sK37) )
| ~ spl50_148 ),
inference(resolution,[],[f1258,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| ~ sP2(X0)
| p1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f1414,plain,
( spl50_171
| ~ spl50_76 ),
inference(avatar_split_clause,[],[f1389,f593,f1402]) ).
fof(f1389,plain,
( p1(sK6(sK38))
| ~ spl50_76 ),
inference(resolution,[],[f595,f126]) ).
fof(f595,plain,
( r1(sK38,sK6(sK38))
| ~ spl50_76 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f1376,plain,
( spl50_166
| spl50_167 ),
inference(avatar_split_clause,[],[f1367,f1374,f1370]) ).
fof(f1367,plain,
! [X2,X3] :
( ~ r1(sK38,X2)
| ~ r1(X2,X3)
| r1(sK38,sK46(sK38))
| p1(X3) ),
inference(resolution,[],[f1295,f127]) ).
fof(f1295,plain,
! [X2,X0,X1] :
( ~ r1(sK37,X2)
| r1(X2,sK46(X2))
| ~ r1(X0,X1)
| p1(X1)
| ~ r1(X2,X0) ),
inference(resolution,[],[f1293,f119]) ).
fof(f1293,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK36,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| p1(X3)
| ~ r1(X0,X1)
| r1(X1,sK46(X1)) ),
inference(resolution,[],[f1291,f128]) ).
fof(f1291,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK35,X3)
| ~ r1(X4,X0)
| ~ r1(X1,X2)
| r1(X0,sK46(X0))
| p1(X2)
| ~ r1(X0,X1)
| ~ r1(X3,X4) ),
inference(resolution,[],[f1242,f118]) ).
fof(f1242,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK34,X0)
| r1(X5,sK46(X5))
| ~ r1(X5,X3)
| ~ r1(X3,X2)
| ~ r1(X0,X1)
| p1(X2)
| ~ r1(X4,X5)
| ~ r1(X1,X4) ),
inference(resolution,[],[f1125,f117]) ).
fof(f1125,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK33,X6)
| ~ r1(X3,X0)
| p1(X2)
| ~ r1(X5,X2)
| ~ r1(X1,X4)
| ~ r1(X0,X1)
| ~ r1(X4,X5)
| ~ r1(X6,X3)
| r1(X4,sK46(X4)) ),
inference(resolution,[],[f870,f129]) ).
fof(f870,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(sK32,X0)
| ~ r1(X6,X7)
| p1(X1)
| ~ r1(X5,X6)
| ~ r1(X7,X2)
| r1(X2,sK46(X2))
| ~ r1(X3,X1)
| ~ r1(X0,X4)
| ~ r1(X2,X3)
| ~ r1(X4,X5) ),
inference(resolution,[],[f102,f116]) ).
fof(f102,plain,
! [X113,X121,X116,X117,X124,X114,X115,X112,X123] :
( ~ r1(sK13,X112)
| ~ r1(X112,X113)
| p1(X124)
| r1(X121,sK46(X121))
| ~ r1(X121,X123)
| ~ r1(X113,X114)
| ~ r1(X115,X116)
| ~ r1(X114,X115)
| ~ r1(X117,X121)
| ~ r1(X116,X117)
| ~ r1(X123,X124) ),
inference(cnf_transformation,[],[f71]) ).
fof(f1288,plain,
( spl50_148
| spl50_154
| ~ spl50_78 ),
inference(avatar_split_clause,[],[f1245,f601,f1285,f1256]) ).
fof(f1245,plain,
( r1(sK40(sK7(sK37)),sK41(sK7(sK37)))
| p1(sK7(sK37))
| ~ spl50_78 ),
inference(resolution,[],[f603,f122]) ).
fof(f603,plain,
( r1(sK37,sK7(sK37))
| ~ spl50_78 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f1273,plain,
( spl50_151
| spl50_148
| ~ spl50_78 ),
inference(avatar_split_clause,[],[f1246,f601,f1256,f1270]) ).
fof(f1246,plain,
( p1(sK7(sK37))
| r1(sK7(sK37),sK40(sK7(sK37)))
| ~ spl50_78 ),
inference(resolution,[],[f603,f120]) ).
fof(f1263,plain,
( spl50_148
| spl50_149
| ~ spl50_78 ),
inference(avatar_split_clause,[],[f1247,f601,f1260,f1256]) ).
fof(f1247,plain,
( p1(sK40(sK7(sK37)))
| p1(sK7(sK37))
| ~ spl50_78 ),
inference(resolution,[],[f603,f121]) ).
fof(f935,plain,
( spl50_115
| spl50_116 ),
inference(avatar_split_clause,[],[f925,f932,f928]) ).
fof(f925,plain,
( r1(sK37,sK45(sK37))
| sP1(sK37) ),
inference(resolution,[],[f923,f119]) ).
fof(f923,plain,
! [X0] :
( ~ r1(sK36,X0)
| sP1(X0)
| r1(X0,sK45(X0)) ),
inference(resolution,[],[f921,f128]) ).
fof(f921,plain,
! [X0,X1] :
( ~ r1(sK35,X0)
| ~ r1(X0,X1)
| r1(X1,sK45(X1))
| sP1(X1) ),
inference(resolution,[],[f917,f118]) ).
fof(f917,plain,
! [X2,X0,X1] :
( ~ r1(sK34,X0)
| ~ r1(X0,X1)
| sP1(X2)
| r1(X2,sK45(X2))
| ~ r1(X1,X2) ),
inference(resolution,[],[f910,f117]) ).
fof(f910,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK33,X3)
| ~ r1(X3,X1)
| ~ r1(X1,X2)
| r1(X0,sK45(X0))
| ~ r1(X2,X0)
| sP1(X0) ),
inference(resolution,[],[f642,f129]) ).
fof(f642,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK32,X3)
| r1(X2,sK45(X2))
| ~ r1(X0,X1)
| ~ r1(X4,X0)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| sP1(X2) ),
inference(resolution,[],[f105,f116]) ).
fof(f105,plain,
! [X113,X116,X117,X114,X115,X112] :
( ~ r1(sK13,X112)
| ~ r1(X115,X116)
| sP1(X117)
| ~ r1(X112,X113)
| ~ r1(X113,X114)
| ~ r1(X114,X115)
| ~ r1(X116,X117)
| r1(X117,sK45(X117)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f810,plain,
( spl50_2
| ~ spl50_48 ),
inference(avatar_split_clause,[],[f807,f452,f185]) ).
fof(f185,plain,
( spl50_2
<=> p1(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
fof(f807,plain,
( p1(sK39)
| ~ spl50_48 ),
inference(resolution,[],[f453,f125]) ).
fof(f125,plain,
r1(sK37,sK39),
inference(cnf_transformation,[],[f71]) ).
fof(f453,plain,
( ! [X10] :
( ~ r1(sK37,X10)
| p1(X10) )
| ~ spl50_48 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f666,plain,
( spl50_82
| ~ spl50_47
| ~ spl50_13
| spl50_49
| spl50_48 ),
inference(avatar_split_clause,[],[f619,f452,f455,f253,f448,f663]) ).
fof(f619,plain,
! [X11] :
( p1(X11)
| sP0(sK37)
| ~ r1(sK37,X11)
| ~ p1(sK37)
| ~ sP3(sK37)
| r1(sK4(sK38),sK5(sK38)) ),
inference(resolution,[],[f75,f127]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ r1(X0,X2)
| ~ r1(X0,X1)
| sP0(X0)
| ~ p1(X0)
| p1(X1)
| r1(sK4(X2),sK5(X2))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f651,plain,
spl50_77,
inference(avatar_split_clause,[],[f649,f597]) ).
fof(f649,plain,
sP2(sK37),
inference(resolution,[],[f646,f119]) ).
fof(f646,plain,
! [X0] :
( ~ r1(sK36,X0)
| sP2(X0) ),
inference(resolution,[],[f640,f128]) ).
fof(f640,plain,
! [X0,X1] :
( ~ r1(sK35,X1)
| ~ r1(X1,X0)
| sP2(X0) ),
inference(resolution,[],[f635,f118]) ).
fof(f635,plain,
! [X2,X0,X1] :
( ~ r1(sK34,X0)
| sP2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(resolution,[],[f631,f117]) ).
fof(f631,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK33,X2)
| ~ r1(X2,X3)
| ~ r1(X0,X1)
| sP2(X1)
| ~ r1(X3,X0) ),
inference(resolution,[],[f556,f129]) ).
fof(f556,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK32,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X3)
| ~ r1(X4,X1)
| sP2(X0)
| ~ r1(X3,X4) ),
inference(resolution,[],[f104,f116]) ).
fof(f104,plain,
! [X113,X116,X117,X114,X115,X112] :
( ~ r1(sK13,X112)
| sP2(X117)
| ~ r1(X116,X117)
| ~ r1(X112,X113)
| ~ r1(X114,X115)
| ~ r1(X115,X116)
| ~ r1(X113,X114) ),
inference(cnf_transformation,[],[f71]) ).
fof(f604,plain,
( spl50_13
| spl50_76
| ~ spl50_77
| spl50_78 ),
inference(avatar_split_clause,[],[f393,f601,f597,f593,f253]) ).
fof(f393,plain,
( r1(sK37,sK7(sK37))
| ~ sP2(sK37)
| r1(sK38,sK6(sK38))
| p1(sK37) ),
inference(resolution,[],[f76,f127]) ).
fof(f76,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f591,plain,
( spl50_75
| ~ spl50_47
| spl50_48
| ~ spl50_13
| spl50_49 ),
inference(avatar_split_clause,[],[f553,f455,f253,f452,f448,f588]) ).
fof(f553,plain,
! [X11] :
( sP0(sK37)
| ~ p1(sK37)
| p1(X11)
| ~ sP3(sK37)
| r1(sK38,sK4(sK38))
| ~ r1(sK37,X11) ),
inference(resolution,[],[f72,f127]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ r1(X0,X2)
| ~ sP3(X0)
| ~ p1(X0)
| r1(X2,sK4(X2))
| sP0(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f581,plain,
spl50_47,
inference(avatar_split_clause,[],[f579,f448]) ).
fof(f579,plain,
sP3(sK37),
inference(resolution,[],[f573,f119]) ).
fof(f573,plain,
! [X0] :
( ~ r1(sK36,X0)
| sP3(X0) ),
inference(resolution,[],[f564,f128]) ).
fof(f564,plain,
! [X0,X1] :
( ~ r1(sK35,X0)
| ~ r1(X0,X1)
| sP3(X1) ),
inference(resolution,[],[f558,f118]) ).
fof(f558,plain,
! [X2,X0,X1] :
( ~ r1(sK34,X2)
| ~ r1(X1,X0)
| sP3(X0)
| ~ r1(X2,X1) ),
inference(resolution,[],[f554,f117]) ).
fof(f554,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK33,X0)
| sP3(X1)
| ~ r1(X3,X1)
| ~ r1(X0,X2)
| ~ r1(X2,X3) ),
inference(resolution,[],[f413,f129]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK32,X1)
| ~ r1(X1,X2)
| sP3(X0)
| ~ r1(X3,X4)
| ~ r1(X4,X0)
| ~ r1(X2,X3) ),
inference(resolution,[],[f101,f116]) ).
fof(f101,plain,
! [X113,X116,X117,X114,X115,X112] :
( ~ r1(sK13,X112)
| sP3(X117)
| ~ r1(X113,X114)
| ~ r1(X114,X115)
| ~ r1(X112,X113)
| ~ r1(X116,X117)
| ~ r1(X115,X116) ),
inference(cnf_transformation,[],[f71]) ).
fof(f199,plain,
~ spl50_2,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl50_2 ),
inference(resolution,[],[f187,f124]) ).
fof(f124,plain,
~ p1(sK39),
inference(cnf_transformation,[],[f71]) ).
fof(f187,plain,
( p1(sK39)
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL640+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.32 % Computer : n023.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Aug 30 02:33:50 EDT 2022
% 0.09/0.32 % CPUTime :
% 0.15/0.48 % (10286)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48 % (10287)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (10294)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.49 % (10287)Instruction limit reached!
% 0.15/0.49 % (10287)------------------------------
% 0.15/0.49 % (10287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (10295)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.50 % (10287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (10287)Termination reason: Unknown
% 0.15/0.50 % (10287)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (10287)Memory used [KB]: 1151
% 0.15/0.50 % (10287)Time elapsed: 0.006 s
% 0.15/0.50 % (10287)Instructions burned: 7 (million)
% 0.15/0.50 % (10287)------------------------------
% 0.15/0.50 % (10287)------------------------------
% 0.15/0.50 % (10303)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.50 % (10302)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.52 TRYING [1]
% 0.15/0.53 % (10293)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.53 TRYING [2]
% 0.15/0.53 % (10307)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.53 % (10306)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.53 % (10283)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (10308)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.53 % (10284)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (10289)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (10282)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.54 % (10309)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.54 % (10290)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.54 % (10300)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.15/0.54 % (10299)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.54 % (10280)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.54 % (10297)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.55 % (10298)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.55 % (10292)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.55 % (10291)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.55 % (10305)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.70/0.55 % (10285)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.70/0.55 TRYING [3]
% 1.70/0.55 % (10296)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.70/0.56 % (10286)Instruction limit reached!
% 1.70/0.56 % (10286)------------------------------
% 1.70/0.56 % (10286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.56 % (10304)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.70/0.56 % (10281)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.70/0.56 % (10286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.56 % (10286)Termination reason: Unknown
% 1.70/0.56 % (10286)Termination phase: Finite model building constraint generation
% 1.70/0.56
% 1.70/0.56 % (10286)Memory used [KB]: 7419
% 1.70/0.56 % (10286)Time elapsed: 0.157 s
% 1.70/0.56 % (10301)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.70/0.56 % (10286)Instructions burned: 52 (million)
% 1.70/0.56 % (10286)------------------------------
% 1.70/0.56 % (10286)------------------------------
% 1.84/0.57 % (10288)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.57 % (10288)Instruction limit reached!
% 1.84/0.57 % (10288)------------------------------
% 1.84/0.57 % (10288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.57 % (10288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.57 % (10288)Termination reason: Unknown
% 1.84/0.57 % (10288)Termination phase: Preprocessing 2
% 1.84/0.57
% 1.84/0.57 % (10288)Memory used [KB]: 1023
% 1.84/0.57 % (10288)Time elapsed: 0.003 s
% 1.84/0.57 % (10288)Instructions burned: 2 (million)
% 1.84/0.57 % (10288)------------------------------
% 1.84/0.57 % (10288)------------------------------
% 1.84/0.59 % (10281)Refutation not found, incomplete strategy% (10281)------------------------------
% 1.84/0.59 % (10281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (10281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (10281)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.59
% 1.84/0.59 % (10281)Memory used [KB]: 5884
% 1.84/0.59 % (10281)Time elapsed: 0.179 s
% 1.84/0.59 % (10281)Instructions burned: 19 (million)
% 1.84/0.59 % (10281)------------------------------
% 1.84/0.59 % (10281)------------------------------
% 1.84/0.60 % (10294)Instruction limit reached!
% 1.84/0.60 % (10294)------------------------------
% 1.84/0.60 % (10294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (10294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (10294)Termination reason: Unknown
% 1.84/0.60 % (10294)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (10294)Memory used [KB]: 6524
% 1.84/0.60 % (10294)Time elapsed: 0.072 s
% 1.84/0.60 % (10294)Instructions burned: 68 (million)
% 1.84/0.60 % (10294)------------------------------
% 1.84/0.60 % (10294)------------------------------
% 1.84/0.61 TRYING [1]
% 1.84/0.61 TRYING [2]
% 1.84/0.62 % (10282)Instruction limit reached!
% 1.84/0.62 % (10282)------------------------------
% 1.84/0.62 % (10282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (10282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (10282)Termination reason: Unknown
% 1.84/0.62 % (10282)Termination phase: Saturation
% 1.84/0.62
% 1.84/0.62 % (10282)Memory used [KB]: 1535
% 1.84/0.62 % (10282)Time elapsed: 0.219 s
% 1.84/0.62 % (10282)Instructions burned: 38 (million)
% 1.84/0.62 % (10282)------------------------------
% 1.84/0.62 % (10282)------------------------------
% 1.84/0.62 % (10295)Instruction limit reached!
% 1.84/0.62 % (10295)------------------------------
% 1.84/0.62 % (10295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (10295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (10295)Termination reason: Unknown
% 1.84/0.62 % (10295)Termination phase: Saturation
% 1.84/0.62
% 1.84/0.62 % (10295)Memory used [KB]: 1535
% 1.84/0.62 % (10295)Time elapsed: 0.227 s
% 1.84/0.62 % (10295)Instructions burned: 76 (million)
% 1.84/0.62 % (10295)------------------------------
% 1.84/0.62 % (10295)------------------------------
% 2.34/0.64 % (10289)Instruction limit reached!
% 2.34/0.64 % (10289)------------------------------
% 2.34/0.64 % (10289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.64 % (10289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.64 % (10289)Termination reason: Unknown
% 2.34/0.64 % (10289)Termination phase: Saturation
% 2.34/0.64
% 2.34/0.64 % (10289)Memory used [KB]: 1279
% 2.34/0.64 % (10289)Time elapsed: 0.031 s
% 2.34/0.64 % (10289)Instructions burned: 51 (million)
% 2.34/0.64 % (10289)------------------------------
% 2.34/0.64 % (10289)------------------------------
% 2.34/0.64 % (10283)Instruction limit reached!
% 2.34/0.64 % (10283)------------------------------
% 2.34/0.64 % (10283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.64 % (10283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.64 % (10283)Termination reason: Unknown
% 2.34/0.64 % (10283)Termination phase: Saturation
% 2.34/0.64
% 2.34/0.64 % (10283)Memory used [KB]: 6524
% 2.34/0.64 % (10283)Time elapsed: 0.264 s
% 2.34/0.64 % (10283)Instructions burned: 51 (million)
% 2.34/0.64 % (10283)------------------------------
% 2.34/0.64 % (10283)------------------------------
% 2.34/0.64 % (10284)Instruction limit reached!
% 2.34/0.64 % (10284)------------------------------
% 2.34/0.64 % (10284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.64 % (10284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.64 % (10284)Termination reason: Unknown
% 2.34/0.64 % (10284)Termination phase: Saturation
% 2.34/0.64
% 2.34/0.64 % (10284)Memory used [KB]: 6780
% 2.34/0.64 % (10284)Time elapsed: 0.264 s
% 2.34/0.64 % (10284)Instructions burned: 51 (million)
% 2.34/0.64 % (10284)------------------------------
% 2.34/0.64 % (10284)------------------------------
% 2.34/0.65 % (10290)Instruction limit reached!
% 2.34/0.65 % (10290)------------------------------
% 2.34/0.65 % (10290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.65 % (10290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.65 % (10290)Termination reason: Unknown
% 2.34/0.65 % (10290)Termination phase: Saturation
% 2.34/0.65
% 2.34/0.65 % (10290)Memory used [KB]: 6268
% 2.34/0.65 % (10290)Time elapsed: 0.262 s
% 2.34/0.65 % (10290)Instructions burned: 50 (million)
% 2.34/0.65 % (10290)------------------------------
% 2.34/0.65 % (10290)------------------------------
% 2.34/0.65 % (10297)Instruction limit reached!
% 2.34/0.65 % (10297)------------------------------
% 2.34/0.65 % (10297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.65 % (10297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.65 % (10297)Termination reason: Unknown
% 2.34/0.65 % (10297)Termination phase: Finite model building preprocessing
% 2.34/0.65
% 2.34/0.65 % (10297)Memory used [KB]: 7291
% 2.34/0.65 % (10297)Time elapsed: 0.036 s
% 2.34/0.65 % (10297)Instructions burned: 59 (million)
% 2.34/0.65 % (10297)------------------------------
% 2.34/0.65 % (10297)------------------------------
% 2.34/0.66 TRYING [3]
% 2.34/0.66 % (10285)Instruction limit reached!
% 2.34/0.66 % (10285)------------------------------
% 2.34/0.66 % (10285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66 % (10285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.66 % (10285)Termination reason: Unknown
% 2.34/0.66 % (10285)Termination phase: Saturation
% 2.34/0.66
% 2.34/0.66 % (10285)Memory used [KB]: 7803
% 2.34/0.66 % (10285)Time elapsed: 0.257 s
% 2.34/0.66 % (10285)Instructions burned: 48 (million)
% 2.34/0.66 % (10285)------------------------------
% 2.34/0.66 % (10285)------------------------------
% 2.56/0.69 % (10306)Instruction limit reached!
% 2.56/0.69 % (10306)------------------------------
% 2.56/0.69 % (10306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.69 % (10306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.69 % (10306)Termination reason: Unknown
% 2.56/0.69 % (10306)Termination phase: Saturation
% 2.56/0.69
% 2.56/0.69 % (10306)Memory used [KB]: 6396
% 2.56/0.69 % (10306)Time elapsed: 0.050 s
% 2.56/0.69 % (10306)Instructions burned: 69 (million)
% 2.56/0.69 % (10306)------------------------------
% 2.56/0.69 % (10306)------------------------------
% 2.56/0.70 % (10310)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.56/0.71 TRYING [4]
% 2.83/0.73 % (10311)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.83/0.74 % (10293)Instruction limit reached!
% 2.83/0.74 % (10293)------------------------------
% 2.83/0.74 % (10293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.76 % (10293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.76 % (10299)Instruction limit reached!
% 2.95/0.76 % (10299)------------------------------
% 2.95/0.76 % (10299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.76 % (10299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.76 % (10299)Termination reason: Unknown
% 2.95/0.76 % (10299)Termination phase: Saturation
% 2.95/0.76
% 2.95/0.76 % (10299)Memory used [KB]: 1791
% 2.95/0.76 % (10299)Time elapsed: 0.364 s
% 2.95/0.76 % (10299)Instructions burned: 101 (million)
% 2.95/0.76 % (10299)------------------------------
% 2.95/0.76 % (10299)------------------------------
% 2.95/0.76 % (10293)Termination reason: Unknown
% 2.95/0.76 % (10293)Termination phase: Saturation
% 2.95/0.76
% 2.95/0.76 % (10293)Memory used [KB]: 7164
% 2.95/0.76 % (10293)Time elapsed: 0.347 s
% 2.95/0.76 % (10293)Instructions burned: 100 (million)
% 2.95/0.76 % (10293)------------------------------
% 2.95/0.76 % (10293)------------------------------
% 2.95/0.78 % (10312)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.95/0.78 % (10298)Instruction limit reached!
% 2.95/0.78 % (10298)------------------------------
% 2.95/0.78 % (10298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.79 % (10315)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.95/0.79 % (10298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.79 % (10298)Termination reason: Unknown
% 2.95/0.79 % (10298)Termination phase: Saturation
% 2.95/0.79
% 2.95/0.79 % (10298)Memory used [KB]: 6908
% 2.95/0.79 % (10298)Time elapsed: 0.386 s
% 2.95/0.79 % (10298)Instructions burned: 100 (million)
% 2.95/0.79 % (10298)------------------------------
% 2.95/0.79 % (10298)------------------------------
% 2.95/0.79 % (10291)Instruction limit reached!
% 2.95/0.79 % (10291)------------------------------
% 2.95/0.79 % (10291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.79 % (10291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.79 % (10291)Termination reason: Unknown
% 2.95/0.79 % (10291)Termination phase: Saturation
% 2.95/0.79
% 2.95/0.79 % (10291)Memory used [KB]: 7291
% 2.95/0.79 % (10291)Time elapsed: 0.412 s
% 2.95/0.79 % (10291)Instructions burned: 100 (million)
% 2.95/0.79 % (10291)------------------------------
% 2.95/0.79 % (10291)------------------------------
% 2.95/0.80 % (10292)Instruction limit reached!
% 2.95/0.80 % (10292)------------------------------
% 2.95/0.80 % (10292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.80 % (10292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.80 % (10292)Termination reason: Unknown
% 2.95/0.80 % (10292)Termination phase: Saturation
% 2.95/0.80
% 2.95/0.80 % (10292)Memory used [KB]: 7291
% 2.95/0.80 % (10292)Time elapsed: 0.418 s
% 2.95/0.80 % (10292)Instructions burned: 101 (million)
% 2.95/0.80 % (10292)------------------------------
% 2.95/0.80 % (10292)------------------------------
% 2.95/0.80 % (10296)Instruction limit reached!
% 2.95/0.80 % (10296)------------------------------
% 2.95/0.80 % (10296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.80 % (10296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.80 % (10296)Termination reason: Unknown
% 2.95/0.80 % (10296)Termination phase: Saturation
% 2.95/0.80
% 2.95/0.80 % (10296)Memory used [KB]: 10618
% 2.95/0.80 % (10296)Time elapsed: 0.402 s
% 2.95/0.80 % (10296)Instructions burned: 99 (million)
% 2.95/0.80 % (10296)------------------------------
% 2.95/0.80 % (10296)------------------------------
% 2.95/0.81 % (10313)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.95/0.81 % (10314)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.95/0.82 % (10316)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.95/0.83 % (10301)Instruction limit reached!
% 2.95/0.83 % (10301)------------------------------
% 2.95/0.83 % (10301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.83 % (10301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.83 % (10301)Termination reason: Unknown
% 3.29/0.83 % (10301)Termination phase: Saturation
% 3.29/0.83
% 3.29/0.83 % (10301)Memory used [KB]: 8187
% 3.29/0.83 % (10301)Time elapsed: 0.435 s
% 3.29/0.83 % (10301)Instructions burned: 138 (million)
% 3.29/0.83 % (10301)------------------------------
% 3.29/0.83 % (10301)------------------------------
% 3.29/0.86 % (10318)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.29/0.86 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.29/0.86 % (10319)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.29/0.86 % (10320)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.29/0.86 % (10317)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.40/0.88 % (10321)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.40/0.88 % (10322)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.40/0.93 % (10326)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.61/0.94 % (10324)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.61/0.94 % (10307)Instruction limit reached!
% 3.61/0.94 % (10307)------------------------------
% 3.61/0.94 % (10307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/0.94 % (10307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/0.94 % (10307)Termination reason: Unknown
% 3.61/0.94 % (10307)Termination phase: Saturation
% 3.61/0.94
% 3.61/0.94 % (10307)Memory used [KB]: 1791
% 3.61/0.94 % (10307)Time elapsed: 0.553 s
% 3.61/0.94 % (10307)Instructions burned: 177 (million)
% 3.61/0.94 % (10307)------------------------------
% 3.61/0.94 % (10307)------------------------------
% 3.61/0.95 % (10300)Instruction limit reached!
% 3.61/0.95 % (10300)------------------------------
% 3.61/0.95 % (10300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/0.95 % (10300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/0.95 % (10300)Termination reason: Unknown
% 3.61/0.95 % (10300)Termination phase: Saturation
% 3.61/0.95
% 3.61/0.95 % (10300)Memory used [KB]: 8699
% 3.61/0.95 % (10300)Time elapsed: 0.577 s
% 3.61/0.95 % (10300)Instructions burned: 177 (million)
% 3.61/0.95 % (10300)------------------------------
% 3.61/0.95 % (10300)------------------------------
% 3.67/0.98 TRYING [5]
% 3.67/0.99 % (10325)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.67/1.00 % (10312)Instruction limit reached!
% 3.67/1.00 % (10312)------------------------------
% 3.67/1.00 % (10312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.00 % (10312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.00 % (10312)Termination reason: Unknown
% 3.67/1.01 % (10312)Termination phase: Saturation
% 3.67/1.01
% 3.67/1.01 % (10312)Memory used [KB]: 7036
% 3.67/1.01 % (10312)Time elapsed: 0.379 s
% 3.67/1.01 % (10312)Instructions burned: 91 (million)
% 3.67/1.01 % (10312)------------------------------
% 3.67/1.01 % (10312)------------------------------
% 3.67/1.01 % (10309)First to succeed.
% 3.67/1.01 % (10329)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.67/1.01 % (10327)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.67/1.02 % (10331)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.67/1.02 % (10330)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.90/1.03 % (10328)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.90/1.03 % (10317)Instruction limit reached!
% 3.90/1.03 % (10317)------------------------------
% 3.90/1.03 % (10317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.03 % (10317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.03 % (10317)Termination reason: Unknown
% 3.90/1.03 % (10317)Termination phase: Saturation
% 3.90/1.03
% 3.90/1.03 % (10317)Memory used [KB]: 6524
% 3.90/1.03 % (10317)Time elapsed: 0.049 s
% 3.90/1.03 % (10317)Instructions burned: 69 (million)
% 3.90/1.03 % (10317)------------------------------
% 3.90/1.03 % (10317)------------------------------
% 3.90/1.05 % (10303)Also succeeded, but the first one will report.
% 3.90/1.05 % (10309)Refutation found. Thanks to Tanya!
% 3.90/1.05 % SZS status Theorem for theBenchmark
% 3.90/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.05 % (10309)------------------------------
% 3.90/1.05 % (10309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.05 % (10309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.05 % (10309)Termination reason: Refutation
% 3.90/1.05
% 3.90/1.05 % (10309)Memory used [KB]: 10490
% 3.90/1.05 % (10309)Time elapsed: 0.635 s
% 3.90/1.05 % (10309)Instructions burned: 232 (million)
% 3.90/1.05 % (10309)------------------------------
% 3.90/1.05 % (10309)------------------------------
% 3.90/1.05 % (10279)Success in time 0.708 s
%------------------------------------------------------------------------------