%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL640+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:47:04 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 81
% Syntax : Number of formulae : 311 ( 16 unt; 0 def)
% Number of atoms : 3611 ( 0 equ)
% Maximal formula atoms : 308 ( 11 avg)
% Number of connectives : 5763 (2463 ~;2466 |; 771 &)
% ( 25 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 26 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 9 con; 0-1 aty)
% Number of variables : 1994 (1629 !; 365 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4994,plain,
$false,
inference(avatar_sat_refutation,[],[f477,f482,f492,f537,f544,f619,f624,f1401,f2423,f2434,f3068,f3260,f3270,f3274,f3342,f3571,f3591,f3775,f3777,f4111,f4661,f4845,f4910,f4917,f4956,f4993]) ).
fof(f4993,plain,
~ spl63_668,
inference(avatar_contradiction_clause,[],[f4992]) ).
fof(f4992,plain,
( $false
| ~ spl63_668 ),
inference(subsumption_resolution,[],[f4991,f581]) ).
fof(f581,plain,
sP11(sK52),
inference(resolution,[],[f577,f196]) ).
fof(f196,plain,
r1(sK51,sK52),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ! [X1] :
( ( ! [X2] :
( ( ~ p1(sK37(X2))
& r1(X2,sK37(X2)) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP16(X1)
| ! [X6] :
( ( ~ p1(sK38(X6))
& r1(X6,sK38(X6)) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(sK36,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ( ~ p1(sK39(X10))
& r1(X10,sK39(X10)) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP15(X9)
| ! [X14] :
( ( ~ p1(sK40(X14))
& r1(X14,sK40(X14)) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(sK36,X8) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ( ! [X19] :
( ( ~ p1(sK41(X19))
& r1(X19,sK41(X19)) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
& ( sP14(X18)
| ! [X23] :
( ( ~ p1(sK42(X23))
& r1(X23,sK42(X23)) )
| ~ r1(X18,X23) )
| p1(X18) ) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK36,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ( ! [X29] :
( ( ~ p1(sK43(X29))
& r1(X29,sK43(X29)) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X28,X29) )
& ( sP13(X28)
| ! [X33] :
( ( ~ p1(sK44(X33))
& r1(X33,sK44(X33)) )
| ~ r1(X28,X33) )
| p1(X28) ) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(sK36,X25) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ! [X40] :
( ( ~ p1(sK45(X40))
& r1(X40,sK45(X40)) )
| ! [X42] :
( ! [X43] :
( p1(X43)
| ~ r1(X42,X43) )
| ~ r1(X40,X42) )
| ~ r1(X39,X40) )
& ( sP12(X39)
| ! [X44] :
( ( ~ p1(sK46(X44))
& r1(X44,sK46(X44)) )
| ~ r1(X39,X44) )
| p1(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(sK36,X35) )
& ! [X52] :
( ( p1(sK53(X52))
& ~ p1(sK54(X52))
& r1(sK53(X52),sK54(X52))
& r1(X52,sK53(X52)) )
| p1(X52)
| ~ r1(sK52,X52) )
& ! [X56] :
( p1(X56)
| ~ r1(sK55,X56) )
& r1(sK52,sK55)
& ~ p1(sK56)
& r1(sK52,sK56)
& r1(sK51,sK52)
& r1(sK50,sK51)
& r1(sK49,sK50)
& r1(sK48,sK49)
& r1(sK47,sK48)
& r1(sK36,sK47)
& ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( sP9(X63)
& sP11(X63)
& sP10(X63)
& sP8(X63) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(sK36,X58) )
& ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ( ! [X71] :
( ( ~ p1(sK57(X71))
& r1(X71,sK57(X71)) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X71,X73) )
| ~ r1(X70,X71) )
& ( sP2(X70)
| ! [X75] :
( ( ~ p1(sK58(X75))
& r1(X75,sK58(X75)) )
| ~ r1(X70,X75) )
| p1(X70) ) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(sK36,X64) )
& ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ! [X85] :
( ( ~ p1(sK59(X85))
& r1(X85,sK59(X85)) )
| ! [X87] :
( ! [X88] :
( p1(X88)
| ~ r1(X87,X88) )
| ~ r1(X85,X87) )
| ~ r1(X84,X85) )
& ( sP1(X84)
| ! [X89] :
( ( ~ p1(sK60(X89))
& r1(X89,sK60(X89)) )
| ~ r1(X84,X89) )
| p1(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(sK36,X77) )
& ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ( ! [X100] :
( ( ~ p1(sK61(X100))
& r1(X100,sK61(X100)) )
| ! [X102] :
( ! [X103] :
( p1(X103)
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
| ~ r1(X99,X100) )
& ( sP0(X99)
| ! [X104] :
( ( ~ p1(sK62(X104))
& r1(X104,sK62(X104)) )
| ~ r1(X99,X104) )
| p1(X99) ) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(sK36,X91) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62])],[f95,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96]) ).
fof(f96,plain,
( ? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP16(X1)
| ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP15(X9)
| ! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
& ( sP14(X18)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X18,X23) )
| p1(X18) ) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ( ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X28,X29) )
& ( sP13(X28)
| ! [X33] :
( ? [X34] :
( ~ p1(X34)
& r1(X33,X34) )
| ~ r1(X28,X33) )
| p1(X28) ) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X0,X25) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
| ! [X42] :
( ! [X43] :
( p1(X43)
| ~ r1(X42,X43) )
| ~ r1(X40,X42) )
| ~ r1(X39,X40) )
& ( sP12(X39)
| ! [X44] :
( ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
| ~ r1(X39,X44) )
| p1(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
& ? [X46] :
( ? [X47] :
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(X47,X48) )
& r1(X46,X47) )
& r1(X0,X46) )
& ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( sP9(X63)
& sP11(X63)
& sP10(X63)
& sP8(X63) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X0,X58) )
& ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ( ! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X71,X73) )
| ~ r1(X70,X71) )
& ( sP2(X70)
| ! [X75] :
( ? [X76] :
( ~ p1(X76)
& r1(X75,X76) )
| ~ r1(X70,X75) )
| p1(X70) ) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X0,X64) )
& ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ! [X85] :
( ? [X86] :
( ~ p1(X86)
& r1(X85,X86) )
| ! [X87] :
( ! [X88] :
( p1(X88)
| ~ r1(X87,X88) )
| ~ r1(X85,X87) )
| ~ r1(X84,X85) )
& ( sP1(X84)
| ! [X89] :
( ? [X90] :
( ~ p1(X90)
& r1(X89,X90) )
| ~ r1(X84,X89) )
| p1(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X0,X77) )
& ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ( ! [X100] :
( ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
| ! [X102] :
( ! [X103] :
( p1(X103)
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
| ~ r1(X99,X100) )
& ( sP0(X99)
| ! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
| ~ r1(X99,X104) )
| p1(X99) ) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X0,X91) ) )
=> ( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP16(X1)
| ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(sK36,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP15(X9)
| ! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(sK36,X8) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
& ( sP14(X18)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X18,X23) )
| p1(X18) ) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK36,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ( ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X28,X29) )
& ( sP13(X28)
| ! [X33] :
( ? [X34] :
( ~ p1(X34)
& r1(X33,X34) )
| ~ r1(X28,X33) )
| p1(X28) ) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(sK36,X25) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
| ! [X42] :
( ! [X43] :
( p1(X43)
| ~ r1(X42,X43) )
| ~ r1(X40,X42) )
| ~ r1(X39,X40) )
& ( sP12(X39)
| ! [X44] :
( ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
| ~ r1(X39,X44) )
| p1(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(sK36,X35) )
& ? [X46] :
( ? [X47] :
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(X47,X48) )
& r1(X46,X47) )
& r1(sK36,X46) )
& ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( sP9(X63)
& sP11(X63)
& sP10(X63)
& sP8(X63) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(sK36,X58) )
& ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ( ! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X71,X73) )
| ~ r1(X70,X71) )
& ( sP2(X70)
| ! [X75] :
( ? [X76] :
( ~ p1(X76)
& r1(X75,X76) )
| ~ r1(X70,X75) )
| p1(X70) ) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(sK36,X64) )
& ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ! [X85] :
( ? [X86] :
( ~ p1(X86)
& r1(X85,X86) )
| ! [X87] :
( ! [X88] :
( p1(X88)
| ~ r1(X87,X88) )
| ~ r1(X85,X87) )
| ~ r1(X84,X85) )
& ( sP1(X84)
| ! [X89] :
( ? [X90] :
( ~ p1(X90)
& r1(X89,X90) )
| ~ r1(X84,X89) )
| p1(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(sK36,X77) )
& ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ( ! [X100] :
( ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
| ! [X102] :
( ! [X103] :
( p1(X103)
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
| ~ r1(X99,X100) )
& ( sP0(X99)
| ! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
| ~ r1(X99,X104) )
| p1(X99) ) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(sK36,X91) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK37(X2))
& r1(X2,sK37(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
=> ( ~ p1(sK38(X6))
& r1(X6,sK38(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
=> ( ~ p1(sK39(X10))
& r1(X10,sK39(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
=> ( ~ p1(sK40(X14))
& r1(X14,sK40(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
=> ( ~ p1(sK41(X19))
& r1(X19,sK41(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
=> ( ~ p1(sK42(X23))
& r1(X23,sK42(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
=> ( ~ p1(sK43(X29))
& r1(X29,sK43(X29)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X33] :
( ? [X34] :
( ~ p1(X34)
& r1(X33,X34) )
=> ( ~ p1(sK44(X33))
& r1(X33,sK44(X33)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
=> ( ~ p1(sK45(X40))
& r1(X40,sK45(X40)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X44] :
( ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
=> ( ~ p1(sK46(X44))
& r1(X44,sK46(X44)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X46] :
( ? [X47] :
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(X47,X48) )
& r1(X46,X47) )
& r1(sK36,X46) )
=> ( ? [X47] :
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(X47,X48) )
& r1(sK47,X47) )
& r1(sK36,sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X47] :
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(X47,X48) )
& r1(sK47,X47) )
=> ( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(sK48,X48) )
& r1(sK47,sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(sK48,X48) )
=> ( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(sK49,X49) )
& r1(sK48,sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(sK49,X49) )
=> ( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(sK50,X50) )
& r1(sK49,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(sK50,X50) )
=> ( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(sK51,X51) )
& r1(sK50,sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(sK51,X51) )
=> ( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(sK52,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(sK52,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(sK52,X57) )
& r1(sK51,sK52) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
=> ( p1(sK53(X52))
& ? [X54] :
( ~ p1(X54)
& r1(sK53(X52),X54) )
& r1(X52,sK53(X52)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X52] :
( ? [X54] :
( ~ p1(X54)
& r1(sK53(X52),X54) )
=> ( ~ p1(sK54(X52))
& r1(sK53(X52),sK54(X52)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(sK52,X55) )
=> ( ! [X56] :
( p1(X56)
| ~ r1(sK55,X56) )
& r1(sK52,sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X57] :
( ~ p1(X57)
& r1(sK52,X57) )
=> ( ~ p1(sK56)
& r1(sK52,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
=> ( ~ p1(sK57(X71))
& r1(X71,sK57(X71)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X75] :
( ? [X76] :
( ~ p1(X76)
& r1(X75,X76) )
=> ( ~ p1(sK58(X75))
& r1(X75,sK58(X75)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X85] :
( ? [X86] :
( ~ p1(X86)
& r1(X85,X86) )
=> ( ~ p1(sK59(X85))
& r1(X85,sK59(X85)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X89] :
( ? [X90] :
( ~ p1(X90)
& r1(X89,X90) )
=> ( ~ p1(sK60(X89))
& r1(X89,sK60(X89)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X100] :
( ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
=> ( ~ p1(sK61(X100))
& r1(X100,sK61(X100)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
=> ( ~ p1(sK62(X104))
& r1(X104,sK62(X104)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP16(X1)
| ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP15(X9)
| ! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
& ( sP14(X18)
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X18,X23) )
| p1(X18) ) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ! [X28] :
( ( ! [X29] :
( ? [X30] :
( ~ p1(X30)
& r1(X29,X30) )
| ! [X31] :
( ! [X32] :
( p1(X32)
| ~ r1(X31,X32) )
| ~ r1(X29,X31) )
| ~ r1(X28,X29) )
& ( sP13(X28)
| ! [X33] :
( ? [X34] :
( ~ p1(X34)
& r1(X33,X34) )
| ~ r1(X28,X33) )
| p1(X28) ) )
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X0,X25) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ! [X38] :
( ! [X39] :
( ( ! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
| ! [X42] :
( ! [X43] :
( p1(X43)
| ~ r1(X42,X43) )
| ~ r1(X40,X42) )
| ~ r1(X39,X40) )
& ( sP12(X39)
| ! [X44] :
( ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
| ~ r1(X39,X44) )
| p1(X39) ) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
& ? [X46] :
( ? [X47] :
( ? [X48] :
( ? [X49] :
( ? [X50] :
( ? [X51] :
( ! [X52] :
( ? [X53] :
( p1(X53)
& ? [X54] :
( ~ p1(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p1(X52)
| ~ r1(X51,X52) )
& ? [X55] :
( ! [X56] :
( p1(X56)
| ~ r1(X55,X56) )
& r1(X51,X55) )
& ? [X57] :
( ~ p1(X57)
& r1(X51,X57) )
& r1(X50,X51) )
& r1(X49,X50) )
& r1(X48,X49) )
& r1(X47,X48) )
& r1(X46,X47) )
& r1(X0,X46) )
& ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( sP9(X63)
& sP11(X63)
& sP10(X63)
& sP8(X63) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X0,X58) )
& ! [X64] :
( ! [X65] :
( ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ( ! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
| ! [X73] :
( ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X71,X73) )
| ~ r1(X70,X71) )
& ( sP2(X70)
| ! [X75] :
( ? [X76] :
( ~ p1(X76)
& r1(X75,X76) )
| ~ r1(X70,X75) )
| p1(X70) ) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X0,X64) )
& ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ( ! [X85] :
( ? [X86] :
( ~ p1(X86)
& r1(X85,X86) )
| ! [X87] :
( ! [X88] :
( p1(X88)
| ~ r1(X87,X88) )
| ~ r1(X85,X87) )
| ~ r1(X84,X85) )
& ( sP1(X84)
| ! [X89] :
( ? [X90] :
( ~ p1(X90)
& r1(X89,X90) )
| ~ r1(X84,X89) )
| p1(X84) ) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X0,X77) )
& ! [X91] :
( ! [X92] :
( ! [X93] :
( ! [X94] :
( ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ( ! [X100] :
( ? [X101] :
( ~ p1(X101)
& r1(X100,X101) )
| ! [X102] :
( ! [X103] :
( p1(X103)
| ~ r1(X102,X103) )
| ~ r1(X100,X102) )
| ~ r1(X99,X100) )
& ( sP0(X99)
| ! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
| ~ r1(X99,X104) )
| p1(X99) ) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| ~ r1(X92,X93) )
| ~ r1(X91,X92) )
| ~ r1(X0,X91) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP16(X1)
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( sP15(X12)
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X22] :
( ! [X23] :
( ! [X24] :
( ( ! [X25] :
( ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X25,X27) )
| ~ r1(X24,X25) )
& ( sP14(X24)
| ! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ~ r1(X24,X32) )
| p1(X24) ) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ( ! [X38] :
( ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X37,X38) )
& ( sP13(X37)
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X37,X45) )
| p1(X37) ) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ( ! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X51,X52) )
& ( sP12(X51)
| ! [X59] :
( ? [X60] :
( ~ p1(X60)
& r1(X59,X60) )
| ~ r1(X51,X59) )
| p1(X51) ) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
& ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] :
( ! [X67] :
( ? [X68] :
( p1(X68)
& ? [X69] :
( ~ p1(X69)
& r1(X68,X69) )
& r1(X67,X68) )
| p1(X67)
| ~ r1(X66,X67) )
& ? [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
& r1(X66,X70) )
& ? [X72] :
( ~ p1(X72)
& r1(X66,X72) )
& r1(X65,X66) )
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X0,X61) )
& ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( sP9(X78)
& sP11(X78)
& sP10(X78)
& sP8(X78) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X0,X73) )
& ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ( ! [X112] :
( ? [X113] :
( ~ p1(X113)
& r1(X112,X113) )
| ! [X114] :
( ! [X115] :
( p1(X115)
| ~ r1(X114,X115) )
| ~ r1(X112,X114) )
| ~ r1(X111,X112) )
& ( sP2(X111)
| ! [X119] :
( ? [X120] :
( ~ p1(X120)
& r1(X119,X120) )
| ~ r1(X111,X119) )
| p1(X111) ) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X0,X105) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ( ! [X129] :
( ? [X130] :
( ~ p1(X130)
& r1(X129,X130) )
| ! [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ~ r1(X128,X129) )
& ( sP1(X128)
| ! [X136] :
( ? [X137] :
( ~ p1(X137)
& r1(X136,X137) )
| ~ r1(X128,X136) )
| p1(X128) ) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
& ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ( ! [X147] :
( ? [X148] :
( ~ p1(X148)
& r1(X147,X148) )
| ! [X149] :
( ! [X150] :
( p1(X150)
| ~ r1(X149,X150) )
| ~ r1(X147,X149) )
| ~ r1(X146,X147) )
& ( sP0(X146)
| ! [X154] :
( ? [X155] :
( ~ p1(X155)
& r1(X154,X155) )
| ~ r1(X146,X154) )
| p1(X146) ) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X0,X138) ) ),
inference(definition_folding,[],[f6,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X146] :
( ? [X151] :
( ! [X152] :
( ~ p1(X152)
| ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
& ~ p1(X151)
& r1(X146,X151) )
| ~ sP0(X146) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X128] :
( ? [X133] :
( ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
& ~ p1(X133)
& r1(X128,X133) )
| ~ sP1(X128) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X111] :
( ? [X116] :
( ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
& ~ p1(X116)
& r1(X111,X116) )
| ~ sP2(X111) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X95] :
( ! [X96] :
( ( p1(X96)
& ? [X97] :
( ~ p1(X97)
& r1(X96,X97) ) )
| ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X96,X98) )
| ~ r1(X95,X96) )
| ~ sP3(X95) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X95] :
( ? [X100] :
( ~ p1(X100)
& r1(X95,X100) )
| ~ sP4(X95) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X78] :
( ! [X101] :
( ? [X102] :
( p1(X102)
& ? [X103] :
( ~ p1(X103)
& r1(X102,X103) )
& r1(X101,X102) )
| ~ r1(X78,X101) )
| ~ sP5(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X78] :
( ? [X90] :
( ! [X91] :
( ~ p1(X91)
| ! [X92] :
( p1(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
& ~ p1(X90)
& r1(X78,X90) )
| ~ sP6(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X78] :
( ! [X82] :
( ! [X83] :
( ? [X84] :
( p1(X84)
& ? [X85] :
( ~ p1(X85)
& r1(X84,X85) )
& r1(X83,X84) )
| p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X78,X82) )
| ~ sP7(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X78] :
( ? [X95] :
( sP3(X95)
& p1(X95)
& sP4(X95)
& r1(X78,X95) )
| sP5(X78)
| ~ p1(X78)
| ! [X104] :
( p1(X104)
| ~ r1(X78,X104) )
| ~ sP8(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
! [X78] :
( ? [X79] :
( ! [X80] :
( ~ p1(X80)
| ! [X81] :
( p1(X81)
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
& ~ p1(X79)
& r1(X78,X79) )
| sP7(X78)
| ~ sP9(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
! [X78] :
( sP6(X78)
| ! [X93] :
( ? [X94] :
( ~ p1(X94)
& r1(X93,X94) )
| ~ r1(X78,X93) )
| p1(X78)
| ~ sP10(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X78] :
( ! [X86] :
( ? [X87] :
( ~ p1(X87)
& r1(X86,X87) )
| ! [X88] :
( ! [X89] :
( p1(X89)
| ~ r1(X88,X89) )
| ~ r1(X86,X88) )
| ~ r1(X78,X86) )
| ~ sP11(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
! [X51] :
( ? [X56] :
( ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p1(X56)
& r1(X51,X56) )
| ~ sP12(X51) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
! [X37] :
( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X37,X42) )
| ~ sP13(X37) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
! [X24] :
( ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X24,X29) )
| ~ sP14(X24) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
! [X12] :
( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ~ sP15(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
! [X1] :
( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X22] :
( ! [X23] :
( ! [X24] :
( ( ! [X25] :
( ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X25,X27) )
| ~ r1(X24,X25) )
& ( ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X24,X29) )
| ! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ~ r1(X24,X32) )
| p1(X24) ) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ( ! [X38] :
( ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X37,X38) )
& ( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X37,X42) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X37,X45) )
| p1(X37) ) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ( ! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X51,X52) )
& ( ? [X56] :
( ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p1(X56)
& r1(X51,X56) )
| ! [X59] :
( ? [X60] :
( ~ p1(X60)
& r1(X59,X60) )
| ~ r1(X51,X59) )
| p1(X51) ) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
& ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] :
( ! [X67] :
( ? [X68] :
( p1(X68)
& ? [X69] :
( ~ p1(X69)
& r1(X68,X69) )
& r1(X67,X68) )
| p1(X67)
| ~ r1(X66,X67) )
& ? [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
& r1(X66,X70) )
& ? [X72] :
( ~ p1(X72)
& r1(X66,X72) )
& r1(X65,X66) )
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X0,X61) )
& ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ? [X79] :
( ! [X80] :
( ~ p1(X80)
| ! [X81] :
( p1(X81)
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
& ~ p1(X79)
& r1(X78,X79) )
| ! [X82] :
( ! [X83] :
( ? [X84] :
( p1(X84)
& ? [X85] :
( ~ p1(X85)
& r1(X84,X85) )
& r1(X83,X84) )
| p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X78,X82) ) )
& ! [X86] :
( ? [X87] :
( ~ p1(X87)
& r1(X86,X87) )
| ! [X88] :
( ! [X89] :
( p1(X89)
| ~ r1(X88,X89) )
| ~ r1(X86,X88) )
| ~ r1(X78,X86) )
& ( ? [X90] :
( ! [X91] :
( ~ p1(X91)
| ! [X92] :
( p1(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
& ~ p1(X90)
& r1(X78,X90) )
| ! [X93] :
( ? [X94] :
( ~ p1(X94)
& r1(X93,X94) )
| ~ r1(X78,X93) )
| p1(X78) )
& ( ? [X95] :
( ! [X96] :
( ( p1(X96)
& ? [X97] :
( ~ p1(X97)
& r1(X96,X97) ) )
| ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X96,X98) )
| ~ r1(X95,X96) )
& p1(X95)
& ? [X100] :
( ~ p1(X100)
& r1(X95,X100) )
& r1(X78,X95) )
| ! [X101] :
( ? [X102] :
( p1(X102)
& ? [X103] :
( ~ p1(X103)
& r1(X102,X103) )
& r1(X101,X102) )
| ~ r1(X78,X101) )
| ~ p1(X78)
| ! [X104] :
( p1(X104)
| ~ r1(X78,X104) ) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X0,X73) )
& ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ( ! [X112] :
( ? [X113] :
( ~ p1(X113)
& r1(X112,X113) )
| ! [X114] :
( ! [X115] :
( p1(X115)
| ~ r1(X114,X115) )
| ~ r1(X112,X114) )
| ~ r1(X111,X112) )
& ( ? [X116] :
( ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
& ~ p1(X116)
& r1(X111,X116) )
| ! [X119] :
( ? [X120] :
( ~ p1(X120)
& r1(X119,X120) )
| ~ r1(X111,X119) )
| p1(X111) ) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X0,X105) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ( ! [X129] :
( ? [X130] :
( ~ p1(X130)
& r1(X129,X130) )
| ! [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ~ r1(X128,X129) )
& ( ? [X133] :
( ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
& ~ p1(X133)
& r1(X128,X133) )
| ! [X136] :
( ? [X137] :
( ~ p1(X137)
& r1(X136,X137) )
| ~ r1(X128,X136) )
| p1(X128) ) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
& ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ( ! [X147] :
( ? [X148] :
( ~ p1(X148)
& r1(X147,X148) )
| ! [X149] :
( ! [X150] :
( p1(X150)
| ~ r1(X149,X150) )
| ~ r1(X147,X149) )
| ~ r1(X146,X147) )
& ( ? [X151] :
( ! [X152] :
( ~ p1(X152)
| ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
& ~ p1(X151)
& r1(X146,X151) )
| ! [X154] :
( ? [X155] :
( ~ p1(X155)
& r1(X154,X155) )
| ~ r1(X146,X154) )
| p1(X146) ) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X0,X138) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X22] :
( ! [X23] :
( ! [X24] :
( ( ! [X25] :
( ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X25,X27) )
| ~ r1(X24,X25) )
& ( ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X24,X29) )
| ! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ~ r1(X24,X32) )
| p1(X24) ) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ( ! [X38] :
( ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X37,X38) )
& ( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X37,X42) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X37,X45) )
| p1(X37) ) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ( ! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X51,X52) )
& ( ? [X56] :
( ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p1(X56)
& r1(X51,X56) )
| ! [X59] :
( ? [X60] :
( ~ p1(X60)
& r1(X59,X60) )
| ~ r1(X51,X59) )
| p1(X51) ) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
& ? [X61] :
( ? [X62] :
( ? [X63] :
( ? [X64] :
( ? [X65] :
( ? [X66] :
( ! [X67] :
( ? [X68] :
( p1(X68)
& ? [X69] :
( ~ p1(X69)
& r1(X68,X69) )
& r1(X67,X68) )
| p1(X67)
| ~ r1(X66,X67) )
& ? [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
& r1(X66,X70) )
& ? [X72] :
( ~ p1(X72)
& r1(X66,X72) )
& r1(X65,X66) )
& r1(X64,X65) )
& r1(X63,X64) )
& r1(X62,X63) )
& r1(X61,X62) )
& r1(X0,X61) )
& ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ? [X79] :
( ! [X80] :
( ~ p1(X80)
| ! [X81] :
( p1(X81)
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
& ~ p1(X79)
& r1(X78,X79) )
| ! [X82] :
( ! [X83] :
( ? [X84] :
( p1(X84)
& ? [X85] :
( ~ p1(X85)
& r1(X84,X85) )
& r1(X83,X84) )
| p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X78,X82) ) )
& ! [X86] :
( ? [X87] :
( ~ p1(X87)
& r1(X86,X87) )
| ! [X88] :
( ! [X89] :
( p1(X89)
| ~ r1(X88,X89) )
| ~ r1(X86,X88) )
| ~ r1(X78,X86) )
& ( ? [X90] :
( ! [X91] :
( ~ p1(X91)
| ! [X92] :
( p1(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
& ~ p1(X90)
& r1(X78,X90) )
| ! [X93] :
( ? [X94] :
( ~ p1(X94)
& r1(X93,X94) )
| ~ r1(X78,X93) )
| p1(X78) )
& ( ? [X95] :
( ! [X96] :
( ( p1(X96)
& ? [X97] :
( ~ p1(X97)
& r1(X96,X97) ) )
| ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X96,X98) )
| ~ r1(X95,X96) )
& p1(X95)
& ? [X100] :
( ~ p1(X100)
& r1(X95,X100) )
& r1(X78,X95) )
| ! [X101] :
( ? [X102] :
( p1(X102)
& ? [X103] :
( ~ p1(X103)
& r1(X102,X103) )
& r1(X101,X102) )
| ~ r1(X78,X101) )
| ~ p1(X78)
| ! [X104] :
( p1(X104)
| ~ r1(X78,X104) ) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X0,X73) )
& ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ( ! [X112] :
( ? [X113] :
( ~ p1(X113)
& r1(X112,X113) )
| ! [X114] :
( ! [X115] :
( p1(X115)
| ~ r1(X114,X115) )
| ~ r1(X112,X114) )
| ~ r1(X111,X112) )
& ( ? [X116] :
( ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
& ~ p1(X116)
& r1(X111,X116) )
| ! [X119] :
( ? [X120] :
( ~ p1(X120)
& r1(X119,X120) )
| ~ r1(X111,X119) )
| p1(X111) ) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X0,X105) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ( ! [X129] :
( ? [X130] :
( ~ p1(X130)
& r1(X129,X130) )
| ! [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ~ r1(X128,X129) )
& ( ? [X133] :
( ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
& ~ p1(X133)
& r1(X128,X133) )
| ! [X136] :
( ? [X137] :
( ~ p1(X137)
& r1(X136,X137) )
| ~ r1(X128,X136) )
| p1(X128) ) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
& ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ( ! [X147] :
( ? [X148] :
( ~ p1(X148)
& r1(X147,X148) )
| ! [X149] :
( ! [X150] :
( p1(X150)
| ~ r1(X149,X150) )
| ~ r1(X147,X149) )
| ~ r1(X146,X147) )
& ( ? [X151] :
( ! [X152] :
( ~ p1(X152)
| ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
& ~ p1(X151)
& r1(X146,X151) )
| ! [X154] :
( ? [X155] :
( ~ p1(X155)
& r1(X154,X155) )
| ~ r1(X146,X154) )
| p1(X146) ) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X0,X138) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X2] :
( ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X1,X6) )
| ! [X9] :
( ~ ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ~ ! [X17] :
( ~ ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p1(X17)
| ~ r1(X12,X17) )
| ! [X20] :
( ~ ! [X21] :
( p1(X21)
| ~ r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X22] :
( ! [X23] :
( ! [X24] :
( ( ! [X25] :
( ~ ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X25,X27) )
| ~ r1(X24,X25) )
& ( ~ ! [X29] :
( ~ ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| p1(X29)
| ~ r1(X24,X29) )
| ! [X32] :
( ~ ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X24,X32) )
| p1(X24) ) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ( ! [X38] :
( ~ ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X37,X38) )
& ( ~ ! [X42] :
( ~ ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| p1(X42)
| ~ r1(X37,X42) )
| ! [X45] :
( ~ ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X37,X45) )
| p1(X37) ) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ( ! [X52] :
( ~ ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X51,X52) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p1(X56)
| ~ r1(X51,X56) )
| ! [X59] :
( ~ ! [X60] :
( p1(X60)
| ~ r1(X59,X60) )
| ~ r1(X51,X59) )
| p1(X51) ) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
& ~ ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ~ ! [X67] :
( ~ ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| p1(X67)
| ~ r1(X66,X67) )
| ! [X70] :
( ~ ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X66,X70) )
| ! [X72] :
( p1(X72)
| ~ r1(X66,X72) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X0,X61) ) )
| ~ ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ~ ! [X79] :
( ~ ! [X80] :
( ~ p1(X80)
| ! [X81] :
( p1(X81)
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| p1(X79)
| ~ r1(X78,X79) )
| ! [X82] :
( ! [X83] :
( ~ ! [X84] :
( ~ p1(X84)
| ! [X85] :
( p1(X85)
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X78,X82) ) )
& ! [X86] :
( ~ ! [X87] :
( p1(X87)
| ~ r1(X86,X87) )
| ! [X88] :
( ! [X89] :
( p1(X89)
| ~ r1(X88,X89) )
| ~ r1(X86,X88) )
| ~ r1(X78,X86) )
& ( ~ ! [X90] :
( ~ ! [X91] :
( ~ p1(X91)
| ! [X92] :
( p1(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| p1(X90)
| ~ r1(X78,X90) )
| ! [X93] :
( ~ ! [X94] :
( p1(X94)
| ~ r1(X93,X94) )
| ~ r1(X78,X93) )
| p1(X78) )
& ( ~ ! [X95] :
( ~ ! [X96] :
( ~ ( ~ p1(X96)
| ! [X97] :
( p1(X97)
| ~ r1(X96,X97) ) )
| ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X96,X98) )
| ~ r1(X95,X96) )
| ~ p1(X95)
| ! [X100] :
( p1(X100)
| ~ r1(X95,X100) )
| ~ r1(X78,X95) )
| ! [X101] :
( ~ ! [X102] :
( ~ p1(X102)
| ! [X103] :
( p1(X103)
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X78,X101) )
| ~ p1(X78)
| ! [X104] :
( p1(X104)
| ~ r1(X78,X104) ) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X0,X73) )
| ~ ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ( ! [X112] :
( ~ ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ! [X114] :
( ! [X115] :
( p1(X115)
| ~ r1(X114,X115) )
| ~ r1(X112,X114) )
| ~ r1(X111,X112) )
& ( ~ ! [X116] :
( ~ ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| p1(X116)
| ~ r1(X111,X116) )
| ! [X119] :
( ~ ! [X120] :
( p1(X120)
| ~ r1(X119,X120) )
| ~ r1(X111,X119) )
| p1(X111) ) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X0,X105) )
| ~ ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ( ! [X129] :
( ~ ! [X130] :
( p1(X130)
| ~ r1(X129,X130) )
| ! [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ~ r1(X128,X129) )
& ( ~ ! [X133] :
( ~ ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
| p1(X133)
| ~ r1(X128,X133) )
| ! [X136] :
( ~ ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X128,X136) )
| p1(X128) ) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
| ~ ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ( ! [X147] :
( ~ ! [X148] :
( p1(X148)
| ~ r1(X147,X148) )
| ! [X149] :
( ! [X150] :
( p1(X150)
| ~ r1(X149,X150) )
| ~ r1(X147,X149) )
| ~ r1(X146,X147) )
& ( ~ ! [X151] :
( ~ ! [X152] :
( ~ p1(X152)
| ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| p1(X151)
| ~ r1(X146,X151) )
| ! [X154] :
( ~ ! [X155] :
( p1(X155)
| ~ r1(X154,X155) )
| ~ r1(X146,X154) )
| p1(X146) ) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X0,X138) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X2] :
( ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X1,X6) )
| ! [X9] :
( ~ ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ~ ! [X17] :
( ~ ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p1(X17)
| ~ r1(X12,X17) )
| ! [X20] :
( ~ ! [X21] :
( p1(X21)
| ~ r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X22] :
( ! [X23] :
( ! [X24] :
( ( ! [X25] :
( ~ ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X25,X27) )
| ~ r1(X24,X25) )
& ( ~ ! [X29] :
( ~ ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| p1(X29)
| ~ r1(X24,X29) )
| ! [X32] :
( ~ ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X24,X32) )
| p1(X24) ) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
& ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] :
( ( ! [X38] :
( ~ ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X37,X38) )
& ( ~ ! [X42] :
( ~ ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| p1(X42)
| ~ r1(X37,X42) )
| ! [X45] :
( ~ ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X37,X45) )
| p1(X37) ) )
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X0,X34) )
& ! [X47] :
( ! [X48] :
( ! [X49] :
( ! [X50] :
( ! [X51] :
( ( ! [X52] :
( ~ ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X51,X52) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p1(X56)
| ~ r1(X51,X56) )
| ! [X59] :
( ~ ! [X60] :
( p1(X60)
| ~ r1(X59,X60) )
| ~ r1(X51,X59) )
| p1(X51) ) )
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
& ~ ! [X61] :
( ! [X62] :
( ! [X63] :
( ! [X64] :
( ! [X65] :
( ! [X66] :
( ~ ! [X67] :
( ~ ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| p1(X67)
| ~ r1(X66,X67) )
| ! [X70] :
( ~ ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X66,X70) )
| ! [X72] :
( p1(X72)
| ~ r1(X66,X72) )
| ~ r1(X65,X66) )
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X0,X61) ) )
| ~ ! [X73] :
( ! [X74] :
( ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ( ( ~ ! [X79] :
( ~ ! [X80] :
( ~ p1(X80)
| ! [X81] :
( p1(X81)
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| p1(X79)
| ~ r1(X78,X79) )
| ! [X82] :
( ! [X83] :
( ~ ! [X84] :
( ~ p1(X84)
| ! [X85] :
( p1(X85)
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X78,X82) ) )
& ! [X86] :
( ~ ! [X87] :
( p1(X87)
| ~ r1(X86,X87) )
| ! [X88] :
( ! [X89] :
( p1(X89)
| ~ r1(X88,X89) )
| ~ r1(X86,X88) )
| ~ r1(X78,X86) )
& ( ~ ! [X90] :
( ~ ! [X91] :
( ~ p1(X91)
| ! [X92] :
( p1(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| p1(X90)
| ~ r1(X78,X90) )
| ! [X93] :
( ~ ! [X94] :
( p1(X94)
| ~ r1(X93,X94) )
| ~ r1(X78,X93) )
| p1(X78) )
& ( ~ ! [X95] :
( ~ ! [X96] :
( ~ ( ~ p1(X96)
| ! [X97] :
( p1(X97)
| ~ r1(X96,X97) ) )
| ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X96,X98) )
| ~ r1(X95,X96) )
| ~ p1(X95)
| ! [X100] :
( p1(X100)
| ~ r1(X95,X100) )
| ~ r1(X78,X95) )
| ! [X101] :
( ~ ! [X102] :
( ~ p1(X102)
| ! [X103] :
( p1(X103)
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X78,X101) )
| ~ p1(X78)
| ! [X104] :
( p1(X104)
| ~ r1(X78,X104) ) ) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ r1(X0,X73) )
| ~ ! [X105] :
( ! [X106] :
( ! [X107] :
( ! [X108] :
( ! [X109] :
( ! [X110] :
( ! [X111] :
( ( ! [X112] :
( ~ ! [X113] :
( p1(X113)
| ~ r1(X112,X113) )
| ! [X114] :
( ! [X115] :
( p1(X115)
| ~ r1(X114,X115) )
| ~ r1(X112,X114) )
| ~ r1(X111,X112) )
& ( ~ ! [X116] :
( ~ ! [X117] :
( ~ p1(X117)
| ! [X118] :
( p1(X118)
| ~ r1(X117,X118) )
| ~ r1(X116,X117) )
| p1(X116)
| ~ r1(X111,X116) )
| ! [X119] :
( ~ ! [X120] :
( p1(X120)
| ~ r1(X119,X120) )
| ~ r1(X111,X119) )
| p1(X111) ) )
| ~ r1(X110,X111) )
| ~ r1(X109,X110) )
| ~ r1(X108,X109) )
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| ~ r1(X105,X106) )
| ~ r1(X0,X105) )
| ~ ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ! [X126] :
( ! [X127] :
( ! [X128] :
( ( ! [X129] :
( ~ ! [X130] :
( p1(X130)
| ~ r1(X129,X130) )
| ! [X131] :
( ! [X132] :
( p1(X132)
| ~ r1(X131,X132) )
| ~ r1(X129,X131) )
| ~ r1(X128,X129) )
& ( ~ ! [X133] :
( ~ ! [X134] :
( ~ p1(X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ r1(X133,X134) )
| p1(X133)
| ~ r1(X128,X133) )
| ! [X136] :
( ~ ! [X137] :
( p1(X137)
| ~ r1(X136,X137) )
| ~ r1(X128,X136) )
| p1(X128) ) )
| ~ r1(X127,X128) )
| ~ r1(X126,X127) )
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
| ~ ! [X138] :
( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ( ! [X147] :
( ~ ! [X148] :
( p1(X148)
| ~ r1(X147,X148) )
| ! [X149] :
( ! [X150] :
( p1(X150)
| ~ r1(X149,X150) )
| ~ r1(X147,X149) )
| ~ r1(X146,X147) )
& ( ~ ! [X151] :
( ~ ! [X152] :
( ~ p1(X152)
| ! [X153] :
( p1(X153)
| ~ r1(X152,X153) )
| ~ r1(X151,X152) )
| p1(X151)
| ~ r1(X146,X151) )
| ! [X154] :
( ~ ! [X155] :
( p1(X155)
| ~ r1(X154,X155) )
| ~ r1(X146,X154) )
| p1(X146) ) )
| ~ r1(X145,X146) )
| ~ r1(X144,X145) )
| ~ r1(X143,X144) )
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| ~ r1(X138,X139) )
| ~ r1(X0,X138) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f577,plain,
! [X0] :
( ~ r1(sK51,X0)
| sP11(X0) ),
inference(resolution,[],[f575,f195]) ).
fof(f195,plain,
r1(sK50,sK51),
inference(cnf_transformation,[],[f123]) ).
fof(f575,plain,
! [X0,X1] :
( ~ r1(sK50,X0)
| ~ r1(X0,X1)
| sP11(X1) ),
inference(resolution,[],[f569,f194]) ).
fof(f194,plain,
r1(sK49,sK50),
inference(cnf_transformation,[],[f123]) ).
fof(f569,plain,
! [X2,X0,X1] :
( ~ r1(sK49,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP11(X2) ),
inference(resolution,[],[f561,f193]) ).
fof(f193,plain,
r1(sK48,sK49),
inference(cnf_transformation,[],[f123]) ).
fof(f561,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK48,X2)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X3)
| sP11(X3) ),
inference(resolution,[],[f356,f192]) ).
fof(f192,plain,
r1(sK47,sK48),
inference(cnf_transformation,[],[f123]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK47,X4)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X0,X1)
| sP11(X1) ),
inference(resolution,[],[f189,f191]) ).
fof(f191,plain,
r1(sK36,sK47),
inference(cnf_transformation,[],[f123]) ).
fof(f189,plain,
! [X58,X59,X62,X63,X60,X61] :
( ~ r1(sK36,X58)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(X58,X59)
| sP11(X63) ),
inference(cnf_transformation,[],[f123]) ).
fof(f4991,plain,
( ~ sP11(sK52)
| ~ spl63_668 ),
inference(resolution,[],[f4955,f199]) ).
fof(f199,plain,
r1(sK52,sK55),
inference(cnf_transformation,[],[f123]) ).
fof(f4955,plain,
( ! [X2] :
( ~ r1(X2,sK55)
| ~ sP11(X2) )
| ~ spl63_668 ),
inference(avatar_component_clause,[],[f4954]) ).
fof(f4954,plain,
( spl63_668
<=> ! [X2] :
( ~ r1(X2,sK55)
| ~ sP11(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_668])]) ).
fof(f4956,plain,
( spl63_668
| spl63_143
| ~ spl63_142 ),
inference(avatar_split_clause,[],[f4952,f1395,f1399,f4954]) ).
fof(f1399,plain,
( spl63_143
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ r1(sK55,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_143])]) ).
fof(f1395,plain,
( spl63_142
<=> r1(sK55,sK22(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_142])]) ).
fof(f4952,plain,
( ! [X2,X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK55,X1)
| ~ r1(X2,sK55)
| ~ sP11(X2) )
| ~ spl63_142 ),
inference(resolution,[],[f4938,f140]) ).
fof(f140,plain,
! [X3,X0,X1,X4] :
( ~ p1(sK22(X1))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( ~ p1(sK22(X1))
& r1(X1,sK22(X1)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f46,f47]) ).
fof(f47,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK22(X1))
& r1(X1,sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X78] :
( ! [X86] :
( ? [X87] :
( ~ p1(X87)
& r1(X86,X87) )
| ! [X88] :
( ! [X89] :
( p1(X89)
| ~ r1(X88,X89) )
| ~ r1(X86,X88) )
| ~ r1(X78,X86) )
| ~ sP11(X78) ),
inference(nnf_transformation,[],[f18]) ).
fof(f4938,plain,
( p1(sK22(sK55))
| ~ spl63_142 ),
inference(resolution,[],[f1397,f200]) ).
fof(f200,plain,
! [X56] :
( ~ r1(sK55,X56)
| p1(X56) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1397,plain,
( r1(sK55,sK22(sK55))
| ~ spl63_142 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f4917,plain,
( ~ spl63_49
| ~ spl63_399 ),
inference(avatar_split_clause,[],[f4914,f3065,f489]) ).
fof(f489,plain,
( spl63_49
<=> sP4(sK25(sK52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_49])]) ).
fof(f3065,plain,
( spl63_399
<=> p1(sK31(sK25(sK52))) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_399])]) ).
fof(f4914,plain,
( ~ sP4(sK25(sK52))
| ~ spl63_399 ),
inference(resolution,[],[f3067,f162]) ).
fof(f162,plain,
! [X0] :
( ~ p1(sK31(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ~ p1(sK31(X0))
& r1(X0,sK31(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK31(X0))
& r1(X0,sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X95] :
( ? [X100] :
( ~ p1(X100)
& r1(X95,X100) )
| ~ sP4(X95) ),
inference(nnf_transformation,[],[f11]) ).
fof(f3067,plain,
( p1(sK31(sK25(sK52)))
| ~ spl63_399 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f4910,plain,
( spl63_399
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55
| ~ spl63_398
| ~ spl63_427
| ~ spl63_546
| spl63_621 ),
inference(avatar_split_clause,[],[f4909,f4626,f4109,f3257,f3061,f613,f489,f463,f3065]) ).
fof(f463,plain,
( spl63_43
<=> r1(sK52,sK25(sK52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_43])]) ).
fof(f613,plain,
( spl63_55
<=> sP7(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_55])]) ).
fof(f3061,plain,
( spl63_398
<=> p1(sK26(sK31(sK25(sK52)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_398])]) ).
fof(f3257,plain,
( spl63_427
<=> r1(sK31(sK25(sK52)),sK26(sK31(sK25(sK52)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_427])]) ).
fof(f4109,plain,
( spl63_546
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK31(sK25(sK52)),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_546])]) ).
fof(f4626,plain,
( spl63_621
<=> p1(sK27(sK31(sK25(sK52)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_621])]) ).
fof(f4909,plain,
( p1(sK31(sK25(sK52)))
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55
| ~ spl63_398
| ~ spl63_427
| ~ spl63_546
| spl63_621 ),
inference(subsumption_resolution,[],[f4908,f3787]) ).
fof(f3787,plain,
( r1(sK25(sK52),sK31(sK25(sK52)))
| ~ spl63_49 ),
inference(resolution,[],[f491,f161]) ).
fof(f161,plain,
! [X0] :
( ~ sP4(X0)
| r1(X0,sK31(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f491,plain,
( sP4(sK25(sK52))
| ~ spl63_49 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f4908,plain,
( p1(sK31(sK25(sK52)))
| ~ r1(sK25(sK52),sK31(sK25(sK52)))
| ~ spl63_43
| ~ spl63_55
| ~ spl63_398
| ~ spl63_427
| ~ spl63_546
| spl63_621 ),
inference(subsumption_resolution,[],[f4899,f4627]) ).
fof(f4627,plain,
( ~ p1(sK27(sK31(sK25(sK52))))
| spl63_621 ),
inference(avatar_component_clause,[],[f4626]) ).
fof(f4899,plain,
( p1(sK27(sK31(sK25(sK52))))
| p1(sK31(sK25(sK52)))
| ~ r1(sK25(sK52),sK31(sK25(sK52)))
| ~ spl63_43
| ~ spl63_55
| ~ spl63_398
| ~ spl63_427
| ~ spl63_546 ),
inference(resolution,[],[f4850,f3901]) ).
fof(f3901,plain,
( ! [X0] :
( r1(sK26(X0),sK27(X0))
| p1(X0)
| ~ r1(sK25(sK52),X0) )
| ~ spl63_43
| ~ spl63_55 ),
inference(resolution,[],[f3380,f465]) ).
fof(f465,plain,
( r1(sK52,sK25(sK52))
| ~ spl63_43 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f3380,plain,
( ! [X0,X1] :
( ~ r1(sK52,X1)
| ~ r1(X1,X0)
| p1(X0)
| r1(sK26(X0),sK27(X0)) )
| ~ spl63_55 ),
inference(resolution,[],[f615,f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ sP7(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK26(X2),sK27(X2)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p1(sK26(X2))
& ~ p1(sK27(X2))
& r1(sK26(X2),sK27(X2))
& r1(X2,sK26(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f62,f64,f63]) ).
fof(f63,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK26(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK26(X2),X4) )
& r1(X2,sK26(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK26(X2),X4) )
=> ( ~ p1(sK27(X2))
& r1(sK26(X2),sK27(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X78] :
( ! [X82] :
( ! [X83] :
( ? [X84] :
( p1(X84)
& ? [X85] :
( ~ p1(X85)
& r1(X84,X85) )
& r1(X83,X84) )
| p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X78,X82) )
| ~ sP7(X78) ),
inference(nnf_transformation,[],[f14]) ).
fof(f615,plain,
( sP7(sK52)
| ~ spl63_55 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f4850,plain,
( ! [X0] :
( ~ r1(sK26(sK31(sK25(sK52))),X0)
| p1(X0) )
| ~ spl63_398
| ~ spl63_427
| ~ spl63_546 ),
inference(subsumption_resolution,[],[f4846,f3063]) ).
fof(f3063,plain,
( p1(sK26(sK31(sK25(sK52))))
| ~ spl63_398 ),
inference(avatar_component_clause,[],[f3061]) ).
fof(f4846,plain,
( ! [X0] :
( ~ p1(sK26(sK31(sK25(sK52))))
| p1(X0)
| ~ r1(sK26(sK31(sK25(sK52))),X0) )
| ~ spl63_427
| ~ spl63_546 ),
inference(resolution,[],[f4110,f3259]) ).
fof(f3259,plain,
( r1(sK31(sK25(sK52)),sK26(sK31(sK25(sK52))))
| ~ spl63_427 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f4110,plain,
( ! [X0,X1] :
( ~ r1(sK31(sK25(sK52)),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl63_546 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f4845,plain,
( ~ spl63_43
| ~ spl63_49
| ~ spl63_55
| ~ spl63_626 ),
inference(avatar_contradiction_clause,[],[f4844]) ).
fof(f4844,plain,
( $false
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55
| ~ spl63_626 ),
inference(subsumption_resolution,[],[f4843,f615]) ).
fof(f4843,plain,
( ~ sP7(sK52)
| ~ spl63_43
| ~ spl63_49
| ~ spl63_626 ),
inference(resolution,[],[f4827,f465]) ).
fof(f4827,plain,
( ! [X0] :
( ~ r1(X0,sK25(sK52))
| ~ sP7(X0) )
| ~ spl63_49
| ~ spl63_626 ),
inference(resolution,[],[f4660,f3787]) ).
fof(f4660,plain,
( ! [X0,X1] :
( ~ r1(X0,sK31(sK25(sK52)))
| ~ sP7(X1)
| ~ r1(X1,X0) )
| ~ spl63_626 ),
inference(avatar_component_clause,[],[f4659]) ).
fof(f4659,plain,
( spl63_626
<=> ! [X0,X1] :
( ~ r1(X0,sK31(sK25(sK52)))
| ~ sP7(X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_626])]) ).
fof(f4661,plain,
( spl63_626
| spl63_399
| ~ spl63_621 ),
inference(avatar_split_clause,[],[f4657,f4626,f3065,f4659]) ).
fof(f4657,plain,
( ! [X0,X1] :
( p1(sK31(sK25(sK52)))
| ~ r1(X0,sK31(sK25(sK52)))
| ~ r1(X1,X0)
| ~ sP7(X1) )
| ~ spl63_621 ),
inference(resolution,[],[f4628,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ p1(sK27(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f4628,plain,
( p1(sK27(sK31(sK25(sK52))))
| ~ spl63_621 ),
inference(avatar_component_clause,[],[f4626]) ).
fof(f4111,plain,
( spl63_399
| spl63_546
| ~ spl63_47
| ~ spl63_49 ),
inference(avatar_split_clause,[],[f4102,f489,f479,f4109,f3065]) ).
fof(f479,plain,
( spl63_47
<=> sP3(sK25(sK52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_47])]) ).
fof(f4102,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK31(sK25(sK52)),X1)
| ~ p1(X1)
| p1(sK31(sK25(sK52))) )
| ~ spl63_47
| ~ spl63_49 ),
inference(resolution,[],[f2441,f3787]) ).
fof(f2441,plain,
( ! [X2,X0,X1] :
( ~ r1(sK25(sK52),X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p1(X0)
| p1(X2) )
| ~ spl63_47 ),
inference(resolution,[],[f481,f165]) ).
fof(f165,plain,
! [X3,X0,X1,X4] :
( ~ sP3(X0)
| ~ p1(X3)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| p1(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& ~ p1(sK32(X1))
& r1(X1,sK32(X1)) )
| ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f80,f81]) ).
fof(f81,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK32(X1))
& r1(X1,sK32(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X95] :
( ! [X96] :
( ( p1(X96)
& ? [X97] :
( ~ p1(X97)
& r1(X96,X97) ) )
| ! [X98] :
( ~ p1(X98)
| ! [X99] :
( p1(X99)
| ~ r1(X98,X99) )
| ~ r1(X96,X98) )
| ~ r1(X95,X96) )
| ~ sP3(X95) ),
inference(nnf_transformation,[],[f10]) ).
fof(f481,plain,
( sP3(sK25(sK52))
| ~ spl63_47 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f3777,plain,
( spl63_45
| spl63_53
| ~ spl63_54 ),
inference(avatar_split_clause,[],[f3776,f534,f530,f470]) ).
fof(f470,plain,
( spl63_45
<=> p1(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_45])]) ).
fof(f530,plain,
( spl63_53
<=> sP6(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_53])]) ).
fof(f534,plain,
( spl63_54
<=> ! [X0] :
( r1(X0,sK23(X0))
| ~ r1(sK52,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_54])]) ).
fof(f3776,plain,
( sP6(sK52)
| p1(sK52)
| ~ spl63_54 ),
inference(subsumption_resolution,[],[f3546,f525]) ).
fof(f525,plain,
sP10(sK52),
inference(resolution,[],[f521,f196]) ).
fof(f521,plain,
! [X0] :
( ~ r1(sK51,X0)
| sP10(X0) ),
inference(resolution,[],[f519,f195]) ).
fof(f519,plain,
! [X0,X1] :
( ~ r1(sK50,X0)
| ~ r1(X0,X1)
| sP10(X1) ),
inference(resolution,[],[f513,f194]) ).
fof(f513,plain,
! [X2,X0,X1] :
( ~ r1(sK49,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP10(X2) ),
inference(resolution,[],[f511,f193]) ).
fof(f511,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK48,X2)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X3)
| sP10(X3) ),
inference(resolution,[],[f354,f192]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK47,X4)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X0,X1)
| sP10(X1) ),
inference(resolution,[],[f188,f191]) ).
fof(f188,plain,
! [X58,X59,X62,X63,X60,X61] :
( ~ r1(sK36,X58)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(X58,X59)
| sP10(X63) ),
inference(cnf_transformation,[],[f123]) ).
fof(f3546,plain,
( sP6(sK52)
| p1(sK52)
| ~ sP10(sK52)
| ~ spl63_54 ),
inference(resolution,[],[f3404,f199]) ).
fof(f3404,plain,
( ! [X0] :
( ~ r1(X0,sK55)
| sP6(X0)
| p1(X0)
| ~ sP10(X0) )
| ~ spl63_54 ),
inference(resolution,[],[f3391,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ p1(sK23(X1))
| sP6(X0)
| ~ r1(X0,X1)
| p1(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( sP6(X0)
| ! [X1] :
( ( ~ p1(sK23(X1))
& r1(X1,sK23(X1)) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f50,f51]) ).
fof(f51,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK23(X1))
& r1(X1,sK23(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( sP6(X0)
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP10(X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X78] :
( sP6(X78)
| ! [X93] :
( ? [X94] :
( ~ p1(X94)
& r1(X93,X94) )
| ~ r1(X78,X93) )
| p1(X78)
| ~ sP10(X78) ),
inference(nnf_transformation,[],[f17]) ).
fof(f3391,plain,
( p1(sK23(sK55))
| ~ spl63_54 ),
inference(resolution,[],[f3385,f200]) ).
fof(f3385,plain,
( r1(sK55,sK23(sK55))
| ~ spl63_54 ),
inference(resolution,[],[f535,f199]) ).
fof(f535,plain,
( ! [X0] :
( ~ r1(sK52,X0)
| r1(X0,sK23(X0)) )
| ~ spl63_54 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f3775,plain,
( ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(avatar_contradiction_clause,[],[f3774]) ).
fof(f3774,plain,
( $false
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(subsumption_resolution,[],[f3773,f3551]) ).
fof(f3551,plain,
( r1(sK52,sK28(sK52))
| ~ spl63_53 ),
inference(resolution,[],[f532,f154]) ).
fof(f154,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK28(X0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK28(X0),X2) )
& ~ p1(sK28(X0))
& r1(X0,sK28(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f67,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK28(X0),X2) )
& ~ p1(sK28(X0))
& r1(X0,sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X78] :
( ? [X90] :
( ! [X91] :
( ~ p1(X91)
| ! [X92] :
( p1(X92)
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
& ~ p1(X90)
& r1(X78,X90) )
| ~ sP6(X78) ),
inference(nnf_transformation,[],[f13]) ).
fof(f532,plain,
( sP6(sK52)
| ~ spl63_53 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f3773,plain,
( ~ r1(sK52,sK28(sK52))
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(subsumption_resolution,[],[f3772,f3569]) ).
fof(f3569,plain,
( ~ p1(sK28(sK52))
| spl63_471 ),
inference(avatar_component_clause,[],[f3568]) ).
fof(f3568,plain,
( spl63_471
<=> p1(sK28(sK52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_471])]) ).
fof(f3772,plain,
( p1(sK28(sK52))
| ~ r1(sK52,sK28(sK52))
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(resolution,[],[f3744,f203]) ).
fof(f203,plain,
! [X52] :
( ~ p1(sK54(X52))
| p1(X52)
| ~ r1(sK52,X52) ),
inference(cnf_transformation,[],[f123]) ).
fof(f3744,plain,
( p1(sK54(sK28(sK52)))
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(subsumption_resolution,[],[f3743,f3551]) ).
fof(f3743,plain,
( p1(sK54(sK28(sK52)))
| ~ r1(sK52,sK28(sK52))
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(subsumption_resolution,[],[f3740,f3569]) ).
fof(f3740,plain,
( p1(sK54(sK28(sK52)))
| p1(sK28(sK52))
| ~ r1(sK52,sK28(sK52))
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(resolution,[],[f3664,f202]) ).
fof(f202,plain,
! [X52] :
( r1(sK53(X52),sK54(X52))
| p1(X52)
| ~ r1(sK52,X52) ),
inference(cnf_transformation,[],[f123]) ).
fof(f3664,plain,
( ! [X0] :
( ~ r1(sK53(sK28(sK52)),X0)
| p1(X0) )
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(subsumption_resolution,[],[f3663,f3551]) ).
fof(f3663,plain,
( ! [X0] :
( ~ r1(sK53(sK28(sK52)),X0)
| p1(X0)
| ~ r1(sK52,sK28(sK52)) )
| ~ spl63_53
| ~ spl63_470
| spl63_471 ),
inference(subsumption_resolution,[],[f3662,f3569]) ).
fof(f3662,plain,
( ! [X0] :
( ~ r1(sK53(sK28(sK52)),X0)
| p1(X0)
| p1(sK28(sK52))
| ~ r1(sK52,sK28(sK52)) )
| ~ spl63_53
| ~ spl63_470 ),
inference(subsumption_resolution,[],[f3645,f3566]) ).
fof(f3566,plain,
( p1(sK53(sK28(sK52)))
| ~ spl63_470 ),
inference(avatar_component_clause,[],[f3564]) ).
fof(f3564,plain,
( spl63_470
<=> p1(sK53(sK28(sK52))) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_470])]) ).
fof(f3645,plain,
( ! [X0] :
( ~ r1(sK53(sK28(sK52)),X0)
| p1(X0)
| ~ p1(sK53(sK28(sK52)))
| p1(sK28(sK52))
| ~ r1(sK52,sK28(sK52)) )
| ~ spl63_53 ),
inference(resolution,[],[f3550,f201]) ).
fof(f201,plain,
! [X52] :
( r1(X52,sK53(X52))
| p1(X52)
| ~ r1(sK52,X52) ),
inference(cnf_transformation,[],[f123]) ).
fof(f3550,plain,
( ! [X0,X1] :
( ~ r1(sK28(sK52),X1)
| ~ r1(X1,X0)
| p1(X0)
| ~ p1(X1) )
| ~ spl63_53 ),
inference(resolution,[],[f532,f156]) ).
fof(f156,plain,
! [X2,X3,X0] :
( ~ sP6(X0)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK28(X0),X2)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f3591,plain,
( ~ spl63_53
| ~ spl63_471 ),
inference(avatar_contradiction_clause,[],[f3590]) ).
fof(f3590,plain,
( $false
| ~ spl63_53
| ~ spl63_471 ),
inference(subsumption_resolution,[],[f3589,f532]) ).
fof(f3589,plain,
( ~ sP6(sK52)
| ~ spl63_471 ),
inference(resolution,[],[f3570,f155]) ).
fof(f155,plain,
! [X0] :
( ~ p1(sK28(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f3570,plain,
( p1(sK28(sK52))
| ~ spl63_471 ),
inference(avatar_component_clause,[],[f3568]) ).
fof(f3571,plain,
( spl63_470
| spl63_471
| ~ spl63_53 ),
inference(avatar_split_clause,[],[f3554,f530,f3568,f3564]) ).
fof(f3554,plain,
( p1(sK28(sK52))
| p1(sK53(sK28(sK52)))
| ~ spl63_53 ),
inference(resolution,[],[f3551,f204]) ).
fof(f204,plain,
! [X52] :
( ~ r1(sK52,X52)
| p1(X52)
| p1(sK53(X52)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f3342,plain,
( ~ spl63_57
| spl63_201
| ~ spl63_429 ),
inference(avatar_contradiction_clause,[],[f3341]) ).
fof(f3341,plain,
( $false
| ~ spl63_57
| spl63_201
| ~ spl63_429 ),
inference(subsumption_resolution,[],[f3340,f623]) ).
fof(f623,plain,
( r1(sK52,sK24(sK52))
| ~ spl63_57 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl63_57
<=> r1(sK52,sK24(sK52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_57])]) ).
fof(f3340,plain,
( ~ r1(sK52,sK24(sK52))
| ~ spl63_57
| spl63_201
| ~ spl63_429 ),
inference(subsumption_resolution,[],[f3339,f1719]) ).
fof(f1719,plain,
( ~ p1(sK24(sK52))
| spl63_201 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1718,plain,
( spl63_201
<=> p1(sK24(sK52)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_201])]) ).
fof(f3339,plain,
( p1(sK24(sK52))
| ~ r1(sK52,sK24(sK52))
| ~ spl63_57
| spl63_201
| ~ spl63_429 ),
inference(resolution,[],[f3337,f203]) ).
fof(f3337,plain,
( p1(sK54(sK24(sK52)))
| ~ spl63_57
| spl63_201
| ~ spl63_429 ),
inference(subsumption_resolution,[],[f3336,f623]) ).
fof(f3336,plain,
( p1(sK54(sK24(sK52)))
| ~ r1(sK52,sK24(sK52))
| spl63_201
| ~ spl63_429 ),
inference(subsumption_resolution,[],[f3334,f1719]) ).
fof(f3334,plain,
( p1(sK54(sK24(sK52)))
| p1(sK24(sK52))
| ~ r1(sK52,sK24(sK52))
| ~ spl63_429 ),
inference(resolution,[],[f3269,f202]) ).
fof(f3269,plain,
( ! [X0] :
( ~ r1(sK53(sK24(sK52)),X0)
| p1(X0) )
| ~ spl63_429 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f3268,plain,
( spl63_429
<=> ! [X0] :
( p1(X0)
| ~ r1(sK53(sK24(sK52)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_429])]) ).
fof(f3274,plain,
( spl63_55
| ~ spl63_201 ),
inference(avatar_contradiction_clause,[],[f3273]) ).
fof(f3273,plain,
( $false
| spl63_55
| ~ spl63_201 ),
inference(subsumption_resolution,[],[f3272,f606]) ).
fof(f606,plain,
sP9(sK52),
inference(resolution,[],[f602,f196]) ).
fof(f602,plain,
! [X0] :
( ~ r1(sK51,X0)
| sP9(X0) ),
inference(resolution,[],[f598,f195]) ).
fof(f598,plain,
! [X0,X1] :
( ~ r1(sK50,X0)
| ~ r1(X0,X1)
| sP9(X1) ),
inference(resolution,[],[f592,f194]) ).
fof(f592,plain,
! [X2,X0,X1] :
( ~ r1(sK49,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP9(X2) ),
inference(resolution,[],[f564,f193]) ).
fof(f564,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK48,X2)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X3)
| sP9(X3) ),
inference(resolution,[],[f389,f192]) ).
fof(f389,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK47,X4)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X0,X1)
| sP9(X1) ),
inference(resolution,[],[f190,f191]) ).
fof(f190,plain,
! [X58,X59,X62,X63,X60,X61] :
( ~ r1(sK36,X58)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(X58,X59)
| sP9(X63) ),
inference(cnf_transformation,[],[f123]) ).
fof(f3272,plain,
( ~ sP9(sK52)
| spl63_55
| ~ spl63_201 ),
inference(subsumption_resolution,[],[f3271,f614]) ).
fof(f614,plain,
( ~ sP7(sK52)
| spl63_55 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f3271,plain,
( sP7(sK52)
| ~ sP9(sK52)
| ~ spl63_201 ),
inference(resolution,[],[f1720,f144]) ).
fof(f144,plain,
! [X0] :
( ~ p1(sK24(X0))
| sP7(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK24(X0),X2) )
& ~ p1(sK24(X0))
& r1(X0,sK24(X0)) )
| sP7(X0)
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f54,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK24(X0),X2) )
& ~ p1(sK24(X0))
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| sP7(X0)
| ~ sP9(X0) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X78] :
( ? [X79] :
( ! [X80] :
( ~ p1(X80)
| ! [X81] :
( p1(X81)
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
& ~ p1(X79)
& r1(X78,X79) )
| sP7(X78)
| ~ sP9(X78) ),
inference(nnf_transformation,[],[f16]) ).
fof(f1720,plain,
( p1(sK24(sK52))
| ~ spl63_201 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f3270,plain,
( ~ spl63_57
| spl63_201
| spl63_429
| ~ spl63_56 ),
inference(avatar_split_clause,[],[f3266,f617,f3268,f1718,f621]) ).
fof(f617,plain,
( spl63_56
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK24(sK52),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_56])]) ).
fof(f3266,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK53(sK24(sK52)),X0)
| p1(sK24(sK52))
| ~ r1(sK52,sK24(sK52)) )
| ~ spl63_56 ),
inference(subsumption_resolution,[],[f2907,f204]) ).
fof(f2907,plain,
( ! [X0] :
( ~ p1(sK53(sK24(sK52)))
| p1(X0)
| ~ r1(sK53(sK24(sK52)),X0)
| p1(sK24(sK52))
| ~ r1(sK52,sK24(sK52)) )
| ~ spl63_56 ),
inference(resolution,[],[f618,f201]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ r1(sK24(sK52),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl63_56 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f3260,plain,
( spl63_427
| spl63_399
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55 ),
inference(avatar_split_clause,[],[f3253,f613,f489,f463,f3065,f3257]) ).
fof(f3253,plain,
( p1(sK31(sK25(sK52)))
| r1(sK31(sK25(sK52)),sK26(sK31(sK25(sK52))))
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55 ),
inference(resolution,[],[f3245,f2472]) ).
fof(f2472,plain,
( r1(sK25(sK52),sK31(sK25(sK52)))
| ~ spl63_49 ),
inference(resolution,[],[f491,f161]) ).
fof(f3245,plain,
( ! [X0] :
( ~ r1(sK25(sK52),X0)
| p1(X0)
| r1(X0,sK26(X0)) )
| ~ spl63_43
| ~ spl63_55 ),
inference(resolution,[],[f1739,f465]) ).
fof(f1739,plain,
( ! [X0,X1] :
( ~ r1(sK52,X1)
| ~ r1(X1,X0)
| p1(X0)
| r1(X0,sK26(X0)) )
| ~ spl63_55 ),
inference(resolution,[],[f615,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ sP7(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK26(X2)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f3068,plain,
( spl63_398
| spl63_399
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55 ),
inference(avatar_split_clause,[],[f3057,f613,f489,f463,f3065,f3061]) ).
fof(f3057,plain,
( p1(sK31(sK25(sK52)))
| p1(sK26(sK31(sK25(sK52))))
| ~ spl63_43
| ~ spl63_49
| ~ spl63_55 ),
inference(resolution,[],[f2966,f2472]) ).
fof(f2966,plain,
( ! [X0] :
( ~ r1(sK25(sK52),X0)
| p1(X0)
| p1(sK26(X0)) )
| ~ spl63_43
| ~ spl63_55 ),
inference(resolution,[],[f1740,f465]) ).
fof(f1740,plain,
( ! [X0,X1] :
( ~ r1(sK52,X1)
| ~ r1(X1,X0)
| p1(X0)
| p1(sK26(X0)) )
| ~ spl63_55 ),
inference(resolution,[],[f615,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ sP7(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(sK26(X2)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f2434,plain,
( ~ spl63_46
| ~ spl63_306 ),
inference(avatar_split_clause,[],[f2431,f2418,f474]) ).
fof(f474,plain,
( spl63_46
<=> sP5(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_46])]) ).
fof(f2418,plain,
( spl63_306
<=> p1(sK30(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_306])]) ).
fof(f2431,plain,
( ~ sP5(sK52)
| ~ spl63_306 ),
inference(resolution,[],[f2425,f199]) ).
fof(f2425,plain,
( ! [X0] :
( ~ r1(X0,sK55)
| ~ sP5(X0) )
| ~ spl63_306 ),
inference(resolution,[],[f2420,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ p1(sK30(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( p1(sK29(X1))
& ~ p1(sK30(X1))
& r1(sK29(X1),sK30(X1))
& r1(X1,sK29(X1)) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f71,f73,f72]) ).
fof(f72,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p1(sK29(X1))
& ? [X3] :
( ~ p1(X3)
& r1(sK29(X1),X3) )
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK29(X1),X3) )
=> ( ~ p1(sK30(X1))
& r1(sK29(X1),sK30(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X78] :
( ! [X101] :
( ? [X102] :
( p1(X102)
& ? [X103] :
( ~ p1(X103)
& r1(X102,X103) )
& r1(X101,X102) )
| ~ r1(X78,X101) )
| ~ sP5(X78) ),
inference(nnf_transformation,[],[f12]) ).
fof(f2420,plain,
( p1(sK30(sK55))
| ~ spl63_306 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2423,plain,
( spl63_306
| ~ spl63_46
| ~ spl63_143 ),
inference(avatar_split_clause,[],[f2422,f1399,f474,f2418]) ).
fof(f2422,plain,
( p1(sK30(sK55))
| ~ spl63_46
| ~ spl63_143 ),
inference(subsumption_resolution,[],[f2411,f199]) ).
fof(f2411,plain,
( p1(sK30(sK55))
| ~ r1(sK52,sK55)
| ~ spl63_46
| ~ spl63_143 ),
inference(resolution,[],[f2406,f545]) ).
fof(f545,plain,
( ! [X0] :
( r1(sK29(X0),sK30(X0))
| ~ r1(sK52,X0) )
| ~ spl63_46 ),
inference(resolution,[],[f476,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ r1(X0,X1)
| r1(sK29(X1),sK30(X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f476,plain,
( sP5(sK52)
| ~ spl63_46 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f2406,plain,
( ! [X0] :
( ~ r1(sK29(sK55),X0)
| p1(X0) )
| ~ spl63_46
| ~ spl63_143 ),
inference(resolution,[],[f1400,f556]) ).
fof(f556,plain,
( r1(sK55,sK29(sK55))
| ~ spl63_46 ),
inference(resolution,[],[f546,f199]) ).
fof(f546,plain,
( ! [X0] :
( ~ r1(sK52,X0)
| r1(X0,sK29(X0)) )
| ~ spl63_46 ),
inference(resolution,[],[f476,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ r1(X0,X1)
| r1(X1,sK29(X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f1400,plain,
( ! [X0,X1] :
( ~ r1(sK55,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl63_143 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1401,plain,
( spl63_142
| spl63_143 ),
inference(avatar_split_clause,[],[f1384,f1399,f1395]) ).
fof(f1384,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK55,X0)
| p1(X1)
| r1(sK55,sK22(sK55)) ),
inference(resolution,[],[f585,f199]) ).
fof(f585,plain,
! [X2,X0,X1] :
( ~ r1(sK52,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| p1(X0)
| r1(X2,sK22(X2)) ),
inference(resolution,[],[f581,f139]) ).
fof(f139,plain,
! [X3,X0,X1,X4] :
( ~ sP11(X0)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| r1(X1,sK22(X1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f624,plain,
( spl63_57
| spl63_55 ),
inference(avatar_split_clause,[],[f611,f613,f621]) ).
fof(f611,plain,
( sP7(sK52)
| r1(sK52,sK24(sK52)) ),
inference(resolution,[],[f606,f143]) ).
fof(f143,plain,
! [X0] :
( ~ sP9(X0)
| sP7(X0)
| r1(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f619,plain,
( spl63_55
| spl63_56 ),
inference(avatar_split_clause,[],[f610,f617,f613]) ).
fof(f610,plain,
! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK24(sK52),X1)
| sP7(sK52)
| ~ p1(X1) ),
inference(resolution,[],[f606,f145]) ).
fof(f145,plain,
! [X2,X3,X0] :
( ~ sP9(X0)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK24(X0),X2)
| sP7(X0)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f544,plain,
~ spl63_44,
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| ~ spl63_44 ),
inference(subsumption_resolution,[],[f540,f198]) ).
fof(f198,plain,
~ p1(sK56),
inference(cnf_transformation,[],[f123]) ).
fof(f540,plain,
( p1(sK56)
| ~ spl63_44 ),
inference(resolution,[],[f468,f197]) ).
fof(f197,plain,
r1(sK52,sK56),
inference(cnf_transformation,[],[f123]) ).
fof(f468,plain,
( ! [X0] :
( ~ r1(sK52,X0)
| p1(X0) )
| ~ spl63_44 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl63_44
<=> ! [X0] :
( p1(X0)
| ~ r1(sK52,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl63_44])]) ).
fof(f537,plain,
( spl63_53
| spl63_45
| spl63_54 ),
inference(avatar_split_clause,[],[f527,f534,f470,f530]) ).
fof(f527,plain,
! [X0] :
( r1(X0,sK23(X0))
| ~ r1(sK52,X0)
| p1(sK52)
| sP6(sK52) ),
inference(resolution,[],[f525,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ sP10(X0)
| r1(X1,sK23(X1))
| ~ r1(X0,X1)
| p1(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f492,plain,
( spl63_49
| spl63_44
| ~ spl63_45
| spl63_46 ),
inference(avatar_split_clause,[],[f461,f474,f470,f467,f489]) ).
fof(f461,plain,
! [X0] :
( sP5(sK52)
| ~ p1(sK52)
| p1(X0)
| ~ r1(sK52,X0)
| sP4(sK25(sK52)) ),
inference(resolution,[],[f441,f147]) ).
fof(f147,plain,
! [X2,X0] :
( ~ sP8(X0)
| sP5(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| sP4(sK25(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( sP3(sK25(X0))
& p1(sK25(X0))
& sP4(sK25(X0))
& r1(X0,sK25(X0)) )
| sP5(X0)
| ~ p1(X0)
| ! [X2] :
( p1(X2)
| ~ r1(X0,X2) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f58,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( sP3(X1)
& p1(X1)
& sP4(X1)
& r1(X0,X1) )
=> ( sP3(sK25(X0))
& p1(sK25(X0))
& sP4(sK25(X0))
& r1(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( sP3(X1)
& p1(X1)
& sP4(X1)
& r1(X0,X1) )
| sP5(X0)
| ~ p1(X0)
| ! [X2] :
( p1(X2)
| ~ r1(X0,X2) )
| ~ sP8(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X78] :
( ? [X95] :
( sP3(X95)
& p1(X95)
& sP4(X95)
& r1(X78,X95) )
| sP5(X78)
| ~ p1(X78)
| ! [X104] :
( p1(X104)
| ~ r1(X78,X104) )
| ~ sP8(X78) ),
inference(nnf_transformation,[],[f15]) ).
fof(f441,plain,
sP8(sK52),
inference(resolution,[],[f425,f196]) ).
fof(f425,plain,
! [X0] :
( ~ r1(sK51,X0)
| sP8(X0) ),
inference(resolution,[],[f411,f195]) ).
fof(f411,plain,
! [X0,X1] :
( ~ r1(sK50,X0)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(resolution,[],[f397,f194]) ).
fof(f397,plain,
! [X2,X0,X1] :
( ~ r1(sK49,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP8(X2) ),
inference(resolution,[],[f393,f193]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK48,X2)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X3)
| sP8(X3) ),
inference(resolution,[],[f338,f192]) ).
fof(f338,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK47,X4)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(resolution,[],[f187,f191]) ).
fof(f187,plain,
! [X58,X59,X62,X63,X60,X61] :
( ~ r1(sK36,X58)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(X58,X59)
| sP8(X63) ),
inference(cnf_transformation,[],[f123]) ).
fof(f482,plain,
( spl63_47
| spl63_44
| ~ spl63_45
| spl63_46 ),
inference(avatar_split_clause,[],[f459,f474,f470,f467,f479]) ).
fof(f459,plain,
! [X0] :
( sP5(sK52)
| ~ p1(sK52)
| p1(X0)
| ~ r1(sK52,X0)
| sP3(sK25(sK52)) ),
inference(resolution,[],[f441,f149]) ).
fof(f149,plain,
! [X2,X0] :
( ~ sP8(X0)
| sP5(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| sP3(sK25(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f477,plain,
( spl63_43
| spl63_44
| ~ spl63_45
| spl63_46 ),
inference(avatar_split_clause,[],[f458,f474,f470,f467,f463]) ).
fof(f458,plain,
! [X0] :
( sP5(sK52)
| ~ p1(sK52)
| p1(X0)
| ~ r1(sK52,X0)
| r1(sK52,sK25(sK52)) ),
inference(resolution,[],[f441,f146]) ).
fof(f146,plain,
! [X2,X0] :
( ~ sP8(X0)
| sP5(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| r1(X0,sK25(X0)) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL640+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:17:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (1921)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (1926)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (1922)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (1925)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (1923)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (1924)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39 % (1927)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (1928)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [3]
% 0.22/0.47 TRYING [4]
% 0.22/0.48 TRYING [5]
% 0.22/0.48 TRYING [5]
% 0.22/0.50 % (1927)First to succeed.
% 0.22/0.51 TRYING [5]
% 0.22/0.52 % (1927)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (1927)------------------------------
% 0.22/0.52 % (1927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.52 % (1927)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (1927)Memory used [KB]: 2759
% 0.22/0.52 % (1927)Time elapsed: 0.134 s
% 0.22/0.52 % (1927)Instructions burned: 261 (million)
% 0.22/0.52 % (1927)------------------------------
% 0.22/0.52 % (1927)------------------------------
% 0.22/0.52 % (1921)Success in time 0.153 s
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