TSTP Solution File: LCL658+1.010 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL658+1.010 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:28:36 EDT 2024
% Result : Theorem 6.79s 1.36s
% Output : Refutation 6.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 67
% Syntax : Number of formulae : 296 ( 12 unt; 0 def)
% Number of atoms : 3114 ( 0 equ)
% Maximal formula atoms : 234 ( 10 avg)
% Number of connectives : 4958 (2140 ~;2184 |; 572 &)
% ( 32 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 33 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 9 con; 0-1 aty)
% Number of variables : 1726 (1435 !; 291 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16207,plain,
$false,
inference(avatar_sat_refutation,[],[f404,f417,f445,f564,f591,f635,f848,f1200,f1201,f1206,f1213,f1218,f1443,f1902,f1918,f1931,f2175,f2431,f2433,f2439,f2451,f4088,f11973,f11976,f11978,f12013,f12053,f12369,f12373,f12392,f12815,f13040,f16064,f16090,f16195,f16200,f16206]) ).
fof(f16206,plain,
( spl34_28
| spl34_1734
| spl34_1806 ),
inference(avatar_split_clause,[],[f16204,f12010,f11561,f305]) ).
fof(f305,plain,
( spl34_28
<=> ! [X5,X3,X4,X6,X2] :
( ~ r1(X2,sK24)
| ~ r1(sK13,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_28])]) ).
fof(f11561,plain,
( spl34_1734
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK29(sK24),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1734])]) ).
fof(f12010,plain,
( spl34_1806
<=> sP1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1806])]) ).
fof(f16204,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK29(sK24),X1)
| ~ p1(X1)
| ~ r1(X2,sK24)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6) )
| spl34_1806 ),
inference(resolution,[],[f12011,f90]) ).
fof(f90,plain,
! [X50,X51,X48,X46,X47,X44,X45,X43] :
( sP1(X48)
| p1(X51)
| ~ r1(X50,X51)
| ~ r1(sK29(X48),X50)
| ~ p1(X50)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(sK13,X43) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ! [X1] :
( ( ~ p1(sK14(X1))
& r1(X1,sK14(X1)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK13,X1) )
& ! [X5] :
( ! [X6] :
( ( ~ p1(sK15(X6))
& r1(X6,sK15(X6)) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(sK13,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ( ~ p1(sK16(X12))
& r1(X12,sK16(X12)) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(sK13,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ( ~ p1(sK17(X19))
& r1(X19,sK17(X19)) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK13,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ( ~ p1(sK18(X27))
& r1(X27,sK18(X27)) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(sK13,X23) )
& ! [X37] :
( ( p1(sK25(X37))
& ~ p1(sK26(X37))
& r1(sK25(X37),sK26(X37))
& r1(X37,sK25(X37)) )
| p1(X37)
| ~ r1(sK24,X37) )
& ! [X41] :
( p1(X41)
| ~ r1(sK27,X41) )
& r1(sK24,sK27)
& ~ p1(sK28)
& r1(sK24,sK28)
& r1(sK23,sK24)
& r1(sK22,sK23)
& r1(sK21,sK22)
& r1(sK20,sK21)
& r1(sK19,sK20)
& r1(sK13,sK19)
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(sK29(X48),X50) )
& ~ p1(sK29(X48))
& r1(X48,sK29(X48)) )
| sP1(X48) )
& ! [X52] :
( ( ~ p1(sK30(X52))
& r1(X52,sK30(X52)) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X48,X52) )
& sP2(X48)
& sP3(X48) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(sK13,X43) )
& ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ( ~ p1(sK31(X62))
& r1(X62,sK31(X62)) )
| ! [X64] :
( ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X62,X64) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(sK13,X56) )
& ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ( ~ p1(sK32(X73))
& r1(X73,sK32(X73)) )
| ! [X75] :
( ! [X76] :
( p1(X76)
| ~ r1(X75,X76) )
| ~ r1(X73,X75) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(sK13,X66) )
& ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( ( ~ p1(sK33(X85))
& r1(X85,sK33(X85)) )
| ! [X87] :
( ! [X88] :
( p1(X88)
| ~ r1(X87,X88) )
| ~ r1(X85,X87) )
| ~ r1(X84,X85) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(sK13,X77) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33])],[f34,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f35,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(X0,X31) )
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
| sP1(X48) )
& ! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X48,X52) )
& sP2(X48)
& sP3(X48) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
& ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
| ! [X64] :
( ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X62,X64) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X0,X56) )
& ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
| ! [X75] :
( ! [X76] :
( p1(X76)
| ~ r1(X75,X76) )
| ~ r1(X73,X75) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X0,X66) )
& ! [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) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X0,X77) ) )
=> ( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK13,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(sK13,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(sK13,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK13,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(sK13,X23) )
& ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(sK13,X31) )
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
| sP1(X48) )
& ! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X48,X52) )
& sP2(X48)
& sP3(X48) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(sK13,X43) )
& ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
| ! [X64] :
( ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X62,X64) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(sK13,X56) )
& ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
| ! [X75] :
( ! [X76] :
( p1(X76)
| ~ r1(X75,X76) )
| ~ r1(X73,X75) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(sK13,X66) )
& ! [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) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(sK13,X77) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK14(X1))
& r1(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
=> ( ~ p1(sK15(X6))
& r1(X6,sK15(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
=> ( ~ p1(sK16(X12))
& r1(X12,sK16(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
=> ( ~ p1(sK17(X19))
& r1(X19,sK17(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
=> ( ~ p1(sK18(X27))
& r1(X27,sK18(X27)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(sK13,X31) )
=> ( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(sK19,X32) )
& r1(sK13,sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(sK19,X32) )
=> ( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(sK20,X33) )
& r1(sK19,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(sK20,X33) )
=> ( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(sK21,X34) )
& r1(sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(sK21,X34) )
=> ( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(sK22,X35) )
& r1(sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(sK22,X35) )
=> ( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(sK23,X36) )
& r1(sK22,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(sK23,X36) )
=> ( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(sK24,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(sK24,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(sK24,X42) )
& r1(sK23,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
=> ( p1(sK25(X37))
& ? [X39] :
( ~ p1(X39)
& r1(sK25(X37),X39) )
& r1(X37,sK25(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X37] :
( ? [X39] :
( ~ p1(X39)
& r1(sK25(X37),X39) )
=> ( ~ p1(sK26(X37))
& r1(sK25(X37),sK26(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(sK24,X40) )
=> ( ! [X41] :
( p1(X41)
| ~ r1(sK27,X41) )
& r1(sK24,sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X42] :
( ~ p1(X42)
& r1(sK24,X42) )
=> ( ~ p1(sK28)
& r1(sK24,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X48] :
( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
=> ( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(sK29(X48),X50) )
& ~ p1(sK29(X48))
& r1(X48,sK29(X48)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
=> ( ~ p1(sK30(X52))
& r1(X52,sK30(X52)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
=> ( ~ p1(sK31(X62))
& r1(X62,sK31(X62)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X73] :
( ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
=> ( ~ p1(sK32(X73))
& r1(X73,sK32(X73)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X85] :
( ? [X86] :
( ~ p1(X86)
& r1(X85,X86) )
=> ( ~ p1(sK33(X85))
& r1(X85,sK33(X85)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(X0,X31) )
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
| sP1(X48) )
& ! [X52] :
( ? [X53] :
( ~ p1(X53)
& r1(X52,X53) )
| ! [X54] :
( ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X52,X54) )
| ~ r1(X48,X52) )
& sP2(X48)
& sP3(X48) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
& ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ? [X63] :
( ~ p1(X63)
& r1(X62,X63) )
| ! [X64] :
( ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X62,X64) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X0,X56) )
& ! [X66] :
( ! [X67] :
( ! [X68] :
( ! [X69] :
( ! [X70] :
( ! [X71] :
( ! [X72] :
( ! [X73] :
( ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
| ! [X75] :
( ! [X76] :
( p1(X76)
| ~ r1(X75,X76) )
| ~ r1(X73,X75) )
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| ~ r1(X0,X66) )
& ! [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) )
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X0,X77) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(X0,X31) )
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
| sP1(X48) )
& ! [X56] :
( ? [X57] :
( ~ p1(X57)
& r1(X56,X57) )
| ! [X58] :
( ! [X59] :
( p1(X59)
| ~ r1(X58,X59) )
| ~ r1(X56,X58) )
| ~ r1(X48,X56) )
& sP2(X48)
& sP3(X48) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
& ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ? [X82] :
( ~ p1(X82)
& r1(X81,X82) )
| ! [X83] :
( ! [X84] :
( p1(X84)
| ~ r1(X83,X84) )
| ~ r1(X81,X83) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X0,X75) )
& ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ? [X93] :
( ~ p1(X93)
& r1(X92,X93) )
| ! [X94] :
( ! [X95] :
( p1(X95)
| ~ r1(X94,X95) )
| ~ r1(X92,X94) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
& ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
| ! [X106] :
( ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X104,X106) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X0,X96) ) ),
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X48] :
( ? [X65] :
( ! [X66] :
( ( p1(X66)
& ? [X67] :
( ~ p1(X67)
& r1(X66,X67) ) )
| ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X66,X68) )
| ~ r1(X65,X66) )
& p1(X65)
& ? [X70] :
( ~ p1(X70)
& r1(X65,X70) )
& r1(X48,X65) )
| ~ sP0(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X48] :
( ! [X52] :
( ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X48,X52) )
| ~ sP1(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X48] :
( ? [X60] :
( ! [X61] :
( ~ p1(X61)
| ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p1(X60)
& r1(X48,X60) )
| ! [X63] :
( ? [X64] :
( ~ p1(X64)
& r1(X63,X64) )
| ~ r1(X48,X63) )
| p1(X48)
| ~ sP2(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X48] :
( sP0(X48)
| ! [X71] :
( ? [X72] :
( p1(X72)
& ? [X73] :
( ~ p1(X73)
& r1(X72,X73) )
& r1(X71,X72) )
| ~ r1(X48,X71) )
| ~ p1(X48)
| ! [X74] :
( p1(X74)
| ~ r1(X48,X74) )
| ~ sP3(X48) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(X0,X31) )
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
| ! [X52] :
( ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X48,X52) ) )
& ! [X56] :
( ? [X57] :
( ~ p1(X57)
& r1(X56,X57) )
| ! [X58] :
( ! [X59] :
( p1(X59)
| ~ r1(X58,X59) )
| ~ r1(X56,X58) )
| ~ r1(X48,X56) )
& ( ? [X60] :
( ! [X61] :
( ~ p1(X61)
| ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p1(X60)
& r1(X48,X60) )
| ! [X63] :
( ? [X64] :
( ~ p1(X64)
& r1(X63,X64) )
| ~ r1(X48,X63) )
| p1(X48) )
& ( ? [X65] :
( ! [X66] :
( ( p1(X66)
& ? [X67] :
( ~ p1(X67)
& r1(X66,X67) ) )
| ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X66,X68) )
| ~ r1(X65,X66) )
& p1(X65)
& ? [X70] :
( ~ p1(X70)
& r1(X65,X70) )
& r1(X48,X65) )
| ! [X71] :
( ? [X72] :
( p1(X72)
& ? [X73] :
( ~ p1(X73)
& r1(X72,X73) )
& r1(X71,X72) )
| ~ r1(X48,X71) )
| ~ p1(X48)
| ! [X74] :
( p1(X74)
| ~ r1(X48,X74) ) ) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
& ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ? [X82] :
( ~ p1(X82)
& r1(X81,X82) )
| ! [X83] :
( ! [X84] :
( p1(X84)
| ~ r1(X83,X84) )
| ~ r1(X81,X83) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X0,X75) )
& ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ? [X93] :
( ~ p1(X93)
& r1(X92,X93) )
| ! [X94] :
( ! [X95] :
( p1(X95)
| ~ r1(X94,X95) )
| ~ r1(X92,X94) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
& ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
| ! [X106] :
( ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X104,X106) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X0,X96) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ? [X31] :
( ? [X32] :
( ? [X33] :
( ? [X34] :
( ? [X35] :
( ? [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
& ? [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
& r1(X36,X40) )
& ? [X42] :
( ~ p1(X42)
& r1(X36,X42) )
& r1(X35,X36) )
& r1(X34,X35) )
& r1(X33,X34) )
& r1(X32,X33) )
& r1(X31,X32) )
& r1(X0,X31) )
& ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ? [X49] :
( ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
& ~ p1(X49)
& r1(X48,X49) )
| ! [X52] :
( ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X48,X52) ) )
& ! [X56] :
( ? [X57] :
( ~ p1(X57)
& r1(X56,X57) )
| ! [X58] :
( ! [X59] :
( p1(X59)
| ~ r1(X58,X59) )
| ~ r1(X56,X58) )
| ~ r1(X48,X56) )
& ( ? [X60] :
( ! [X61] :
( ~ p1(X61)
| ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p1(X60)
& r1(X48,X60) )
| ! [X63] :
( ? [X64] :
( ~ p1(X64)
& r1(X63,X64) )
| ~ r1(X48,X63) )
| p1(X48) )
& ( ? [X65] :
( ! [X66] :
( ( p1(X66)
& ? [X67] :
( ~ p1(X67)
& r1(X66,X67) ) )
| ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X66,X68) )
| ~ r1(X65,X66) )
& p1(X65)
& ? [X70] :
( ~ p1(X70)
& r1(X65,X70) )
& r1(X48,X65) )
| ! [X71] :
( ? [X72] :
( p1(X72)
& ? [X73] :
( ~ p1(X73)
& r1(X72,X73) )
& r1(X71,X72) )
| ~ r1(X48,X71) )
| ~ p1(X48)
| ! [X74] :
( p1(X74)
| ~ r1(X48,X74) ) ) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
& ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ? [X82] :
( ~ p1(X82)
& r1(X81,X82) )
| ! [X83] :
( ! [X84] :
( p1(X84)
| ~ r1(X83,X84) )
| ~ r1(X81,X83) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X0,X75) )
& ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ? [X93] :
( ~ p1(X93)
& r1(X92,X93) )
| ! [X94] :
( ! [X95] :
( p1(X95)
| ~ r1(X94,X95) )
| ~ r1(X92,X94) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
& ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ? [X105] :
( ~ p1(X105)
& r1(X104,X105) )
| ! [X106] :
( ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X104,X106) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X0,X96) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ~ ! [X7] :
( p1(X7)
| ~ r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ~ ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ~ ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ ! [X37] :
( ~ ! [X38] :
( ~ p1(X38)
| ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ! [X40] :
( ~ ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X36,X40) )
| ! [X42] :
( p1(X42)
| ~ r1(X36,X42) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) ) )
| ~ ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ~ ! [X49] :
( ~ ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| p1(X49)
| ~ r1(X48,X49) )
| ! [X52] :
( ! [X53] :
( ~ ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X48,X52) ) )
& ! [X56] :
( ~ ! [X57] :
( p1(X57)
| ~ r1(X56,X57) )
| ! [X58] :
( ! [X59] :
( p1(X59)
| ~ r1(X58,X59) )
| ~ r1(X56,X58) )
| ~ r1(X48,X56) )
& ( ~ ! [X60] :
( ~ ! [X61] :
( ~ p1(X61)
| ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p1(X60)
| ~ r1(X48,X60) )
| ! [X63] :
( ~ ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X48,X63) )
| p1(X48) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ ( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) ) )
| ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X66,X68) )
| ~ r1(X65,X66) )
| ~ p1(X65)
| ! [X70] :
( p1(X70)
| ~ r1(X65,X70) )
| ~ r1(X48,X65) )
| ! [X71] :
( ~ ! [X72] :
( ~ p1(X72)
| ! [X73] :
( p1(X73)
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X48,X71) )
| ~ p1(X48)
| ! [X74] :
( p1(X74)
| ~ r1(X48,X74) ) ) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
| ~ ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ~ ! [X82] :
( p1(X82)
| ~ r1(X81,X82) )
| ! [X83] :
( ! [X84] :
( p1(X84)
| ~ r1(X83,X84) )
| ~ r1(X81,X83) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X0,X75) )
| ~ ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ~ ! [X93] :
( p1(X93)
| ~ r1(X92,X93) )
| ! [X94] :
( ! [X95] :
( p1(X95)
| ~ r1(X94,X95) )
| ~ r1(X92,X94) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
| ~ ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ~ ! [X105] :
( p1(X105)
| ~ r1(X104,X105) )
| ! [X106] :
( ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X104,X106) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X0,X96) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X6] :
( ~ ! [X7] :
( p1(X7)
| ~ r1(X6,X7) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X19,X21) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( ~ ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ~ ! [X31] :
( ! [X32] :
( ! [X33] :
( ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ ! [X37] :
( ~ ! [X38] :
( ~ p1(X38)
| ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ! [X40] :
( ~ ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X36,X40) )
| ! [X42] :
( p1(X42)
| ~ r1(X36,X42) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) ) )
| ~ ! [X43] :
( ! [X44] :
( ! [X45] :
( ! [X46] :
( ! [X47] :
( ! [X48] :
( ( ( ~ ! [X49] :
( ~ ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| p1(X49)
| ~ r1(X48,X49) )
| ! [X52] :
( ! [X53] :
( ~ ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X48,X52) ) )
& ! [X56] :
( ~ ! [X57] :
( p1(X57)
| ~ r1(X56,X57) )
| ! [X58] :
( ! [X59] :
( p1(X59)
| ~ r1(X58,X59) )
| ~ r1(X56,X58) )
| ~ r1(X48,X56) )
& ( ~ ! [X60] :
( ~ ! [X61] :
( ~ p1(X61)
| ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p1(X60)
| ~ r1(X48,X60) )
| ! [X63] :
( ~ ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X48,X63) )
| p1(X48) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ ( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) ) )
| ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X66,X68) )
| ~ r1(X65,X66) )
| ~ p1(X65)
| ! [X70] :
( p1(X70)
| ~ r1(X65,X70) )
| ~ r1(X48,X65) )
| ! [X71] :
( ~ ! [X72] :
( ~ p1(X72)
| ! [X73] :
( p1(X73)
| ~ r1(X72,X73) )
| ~ r1(X71,X72) )
| ~ r1(X48,X71) )
| ~ p1(X48)
| ! [X74] :
( p1(X74)
| ~ r1(X48,X74) ) ) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) )
| ~ ! [X75] :
( ! [X76] :
( ! [X77] :
( ! [X78] :
( ! [X79] :
( ! [X80] :
( ! [X81] :
( ~ ! [X82] :
( p1(X82)
| ~ r1(X81,X82) )
| ! [X83] :
( ! [X84] :
( p1(X84)
| ~ r1(X83,X84) )
| ~ r1(X81,X83) )
| ~ r1(X80,X81) )
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| ~ r1(X75,X76) )
| ~ r1(X0,X75) )
| ~ ! [X85] :
( ! [X86] :
( ! [X87] :
( ! [X88] :
( ! [X89] :
( ! [X90] :
( ! [X91] :
( ! [X92] :
( ~ ! [X93] :
( p1(X93)
| ~ r1(X92,X93) )
| ! [X94] :
( ! [X95] :
( p1(X95)
| ~ r1(X94,X95) )
| ~ r1(X92,X94) )
| ~ r1(X91,X92) )
| ~ r1(X90,X91) )
| ~ r1(X89,X90) )
| ~ r1(X88,X89) )
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| ~ r1(X85,X86) )
| ~ r1(X0,X85) )
| ~ ! [X96] :
( ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( ! [X101] :
( ! [X102] :
( ! [X103] :
( ! [X104] :
( ~ ! [X105] :
( p1(X105)
| ~ r1(X104,X105) )
| ! [X106] :
( ! [X107] :
( p1(X107)
| ~ r1(X106,X107) )
| ~ r1(X104,X106) )
| ~ r1(X103,X104) )
| ~ r1(X102,X103) )
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| ~ r1(X99,X100) )
| ~ r1(X98,X99) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X0,X96) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ 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) )
| ~ 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) )
| ~ 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) )
| ~ 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] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [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) )
| ~ 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) )
| ~ 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) )
| ~ 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,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ 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) )
| ~ 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) )
| ~ 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) )
| ~ 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] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [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) )
| ~ 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) )
| ~ 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) )
| ~ 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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f12011,plain,
( ~ sP1(sK24)
| spl34_1806 ),
inference(avatar_component_clause,[],[f12010]) ).
fof(f16200,plain,
( spl34_1811
| spl34_241
| ~ spl34_2339 ),
inference(avatar_split_clause,[],[f16199,f16087,f1766,f12051]) ).
fof(f12051,plain,
( spl34_1811
<=> ! [X0,X1] :
( ~ r1(X0,sK12(sK24))
| ~ sP1(X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1811])]) ).
fof(f1766,plain,
( spl34_241
<=> p1(sK12(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_241])]) ).
fof(f16087,plain,
( spl34_2339
<=> p1(sK9(sK12(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2339])]) ).
fof(f16199,plain,
( ! [X0,X1] :
( ~ r1(X0,sK12(sK24))
| ~ r1(X1,X0)
| ~ sP1(X1) )
| spl34_241
| ~ spl34_2339 ),
inference(subsumption_resolution,[],[f16198,f1768]) ).
fof(f1768,plain,
( ~ p1(sK12(sK24))
| spl34_241 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f16198,plain,
( ! [X0,X1] :
( p1(sK12(sK24))
| ~ r1(X0,sK12(sK24))
| ~ r1(X1,X0)
| ~ sP1(X1) )
| ~ spl34_2339 ),
inference(resolution,[],[f16089,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ p1(sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p1(sK8(X2))
& ~ p1(sK9(X2))
& r1(sK8(X2),sK9(X2))
& r1(X2,sK8(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f24,f26,f25]) ).
fof(f25,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK8(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK8(X2),X4) )
& r1(X2,sK8(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK8(X2),X4) )
=> ( ~ p1(sK9(X2))
& r1(sK8(X2),sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X48] :
( ! [X52] :
( ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X48,X52) )
| ~ sP1(X48) ),
inference(nnf_transformation,[],[f9]) ).
fof(f16089,plain,
( p1(sK9(sK12(sK24)))
| ~ spl34_2339 ),
inference(avatar_component_clause,[],[f16087]) ).
fof(f16195,plain,
( ~ spl34_40
| ~ spl34_72
| ~ spl34_1806
| ~ spl34_1811 ),
inference(avatar_contradiction_clause,[],[f16194]) ).
fof(f16194,plain,
( $false
| ~ spl34_40
| ~ spl34_72
| ~ spl34_1806
| ~ spl34_1811 ),
inference(subsumption_resolution,[],[f16193,f12012]) ).
fof(f12012,plain,
( sP1(sK24)
| ~ spl34_1806 ),
inference(avatar_component_clause,[],[f12010]) ).
fof(f16193,plain,
( ~ sP1(sK24)
| ~ spl34_40
| ~ spl34_72
| ~ spl34_1811 ),
inference(resolution,[],[f16186,f370]) ).
fof(f370,plain,
( r1(sK24,sK10(sK24))
| ~ spl34_40 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl34_40
<=> r1(sK24,sK10(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_40])]) ).
fof(f16186,plain,
( ! [X0] :
( ~ r1(X0,sK10(sK24))
| ~ sP1(X0) )
| ~ spl34_72
| ~ spl34_1811 ),
inference(subsumption_resolution,[],[f16185,f663]) ).
fof(f663,plain,
( sP0(sK24)
| ~ spl34_72 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f662,plain,
( spl34_72
<=> sP0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_72])]) ).
fof(f16185,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK10(sK24))
| ~ sP0(sK24) )
| ~ spl34_1811 ),
inference(resolution,[],[f12052,f72]) ).
fof(f72,plain,
! [X0] :
( r1(sK10(X0),sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( ! [X2] :
( ( p1(X2)
& ~ p1(sK11(X2))
& r1(X2,sK11(X2)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(sK10(X0),X2) )
& p1(sK10(X0))
& ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0))
& r1(X0,sK10(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f29,f32,f31,f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& p1(X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& r1(X0,X1) )
=> ( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(sK10(X0),X2) )
& p1(sK10(X0))
& ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
& r1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
=> ( ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& p1(X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X48] :
( ? [X65] :
( ! [X66] :
( ( p1(X66)
& ? [X67] :
( ~ p1(X67)
& r1(X66,X67) ) )
| ! [X68] :
( ~ p1(X68)
| ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X66,X68) )
| ~ r1(X65,X66) )
& p1(X65)
& ? [X70] :
( ~ p1(X70)
& r1(X65,X70) )
& r1(X48,X65) )
| ~ sP0(X48) ),
inference(nnf_transformation,[],[f8]) ).
fof(f12052,plain,
( ! [X0,X1] :
( ~ r1(X0,sK12(sK24))
| ~ sP1(X1)
| ~ r1(X1,X0) )
| ~ spl34_1811 ),
inference(avatar_component_clause,[],[f12051]) ).
fof(f16090,plain,
( spl34_1811
| spl34_2339
| spl34_241
| ~ spl34_256 ),
inference(avatar_split_clause,[],[f16085,f1823,f1766,f16087,f12051]) ).
fof(f1823,plain,
( spl34_256
<=> ! [X0] :
( p1(X0)
| ~ r1(sK8(sK12(sK24)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_256])]) ).
fof(f16085,plain,
( ! [X0,X1] :
( p1(sK9(sK12(sK24)))
| ~ r1(X0,sK12(sK24))
| ~ r1(X1,X0)
| ~ sP1(X1) )
| spl34_241
| ~ spl34_256 ),
inference(subsumption_resolution,[],[f16065,f1768]) ).
fof(f16065,plain,
( ! [X0,X1] :
( p1(sK9(sK12(sK24)))
| p1(sK12(sK24))
| ~ r1(X0,sK12(sK24))
| ~ r1(X1,X0)
| ~ sP1(X1) )
| ~ spl34_256 ),
inference(resolution,[],[f1824,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( r1(sK8(X2),sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1824,plain,
( ! [X0] :
( ~ r1(sK8(sK12(sK24)),X0)
| p1(X0) )
| ~ spl34_256 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f16064,plain,
( spl34_256
| ~ spl34_29
| ~ spl34_40
| ~ spl34_72
| ~ spl34_73
| spl34_241
| ~ spl34_255 ),
inference(avatar_split_clause,[],[f16063,f1819,f1766,f666,f662,f368,f308,f1823]) ).
fof(f308,plain,
( spl34_29
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| r1(X1,sK8(X1))
| ~ r1(sK24,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_29])]) ).
fof(f666,plain,
( spl34_73
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0)
| ~ r1(sK12(sK24),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_73])]) ).
fof(f1819,plain,
( spl34_255
<=> p1(sK8(sK12(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_255])]) ).
fof(f16063,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK8(sK12(sK24)),X0) )
| ~ spl34_29
| ~ spl34_40
| ~ spl34_72
| ~ spl34_73
| spl34_241
| ~ spl34_255 ),
inference(subsumption_resolution,[],[f16062,f1820]) ).
fof(f1820,plain,
( p1(sK8(sK12(sK24)))
| ~ spl34_255 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f16062,plain,
( ! [X0] :
( p1(X0)
| ~ p1(sK8(sK12(sK24)))
| ~ r1(sK8(sK12(sK24)),X0) )
| ~ spl34_29
| ~ spl34_40
| ~ spl34_72
| ~ spl34_73
| spl34_241 ),
inference(resolution,[],[f16031,f667]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK24),X0)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1) )
| ~ spl34_73 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f16031,plain,
( r1(sK12(sK24),sK8(sK12(sK24)))
| ~ spl34_29
| ~ spl34_40
| ~ spl34_72
| spl34_241 ),
inference(subsumption_resolution,[],[f16030,f663]) ).
fof(f16030,plain,
( r1(sK12(sK24),sK8(sK12(sK24)))
| ~ sP0(sK24)
| ~ spl34_29
| ~ spl34_40
| spl34_241 ),
inference(subsumption_resolution,[],[f16010,f1768]) ).
fof(f16010,plain,
( r1(sK12(sK24),sK8(sK12(sK24)))
| p1(sK12(sK24))
| ~ sP0(sK24)
| ~ spl34_29
| ~ spl34_40 ),
inference(resolution,[],[f15191,f72]) ).
fof(f15191,plain,
( ! [X0] :
( ~ r1(sK10(sK24),X0)
| r1(X0,sK8(X0))
| p1(X0) )
| ~ spl34_29
| ~ spl34_40 ),
inference(resolution,[],[f309,f370]) ).
fof(f309,plain,
( ! [X0,X1] :
( ~ r1(sK24,X0)
| p1(X1)
| r1(X1,sK8(X1))
| ~ r1(X0,X1) )
| ~ spl34_29 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f13040,plain,
( spl34_29
| ~ spl34_1806 ),
inference(avatar_split_clause,[],[f12410,f12010,f308]) ).
fof(f12410,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK24,X1)
| r1(X0,sK8(X0)) )
| ~ spl34_1806 ),
inference(resolution,[],[f12012,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK8(X2)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f12815,plain,
( spl34_73
| ~ spl34_71
| ~ spl34_72
| spl34_241 ),
inference(avatar_split_clause,[],[f12814,f1766,f662,f640,f666]) ).
fof(f640,plain,
( spl34_71
<=> ! [X5,X7,X8] :
( ~ p1(X5)
| ~ r1(X5,X7)
| p1(X8)
| ~ r1(X8,X5)
| ~ r1(sK10(sK24),X8)
| p1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_71])]) ).
fof(f12814,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK12(sK24),X0)
| ~ p1(X0)
| p1(X1) )
| ~ spl34_71
| ~ spl34_72
| spl34_241 ),
inference(subsumption_resolution,[],[f12813,f663]) ).
fof(f12813,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK12(sK24),X0)
| ~ p1(X0)
| p1(X1)
| ~ sP0(sK24) )
| ~ spl34_71
| spl34_241 ),
inference(subsumption_resolution,[],[f11443,f1768]) ).
fof(f11443,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p1(sK12(sK24))
| ~ r1(sK12(sK24),X0)
| ~ p1(X0)
| p1(X1)
| ~ sP0(sK24) )
| ~ spl34_71 ),
inference(resolution,[],[f641,f72]) ).
fof(f641,plain,
( ! [X8,X7,X5] :
( ~ r1(sK10(sK24),X8)
| ~ r1(X5,X7)
| p1(X8)
| ~ r1(X8,X5)
| ~ p1(X5)
| p1(X7) )
| ~ spl34_71 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f12392,plain,
( spl34_28
| spl34_1735
| spl34_1806 ),
inference(avatar_split_clause,[],[f12391,f12010,f11565,f305]) ).
fof(f11565,plain,
( spl34_1735
<=> r1(sK24,sK29(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1735])]) ).
fof(f12391,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,sK24)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4) )
| spl34_1735
| spl34_1806 ),
inference(subsumption_resolution,[],[f12390,f11566]) ).
fof(f11566,plain,
( ~ r1(sK24,sK29(sK24))
| spl34_1735 ),
inference(avatar_component_clause,[],[f11565]) ).
fof(f12390,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(sK24,sK29(sK24))
| ~ r1(X0,sK24)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4) )
| spl34_1806 ),
inference(resolution,[],[f12011,f88]) ).
fof(f88,plain,
! [X48,X46,X47,X44,X45,X43] :
( sP1(X48)
| r1(X48,sK29(X48))
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(sK13,X43) ),
inference(cnf_transformation,[],[f56]) ).
fof(f12373,plain,
( ~ spl34_72
| ~ spl34_241 ),
inference(avatar_split_clause,[],[f12102,f1766,f662]) ).
fof(f12102,plain,
( ~ sP0(sK24)
| ~ spl34_241 ),
inference(resolution,[],[f1767,f73]) ).
fof(f73,plain,
! [X0] :
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1767,plain,
( p1(sK12(sK24))
| ~ spl34_241 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f12369,plain,
( spl34_33
| ~ spl34_6
| ~ spl34_163 ),
inference(avatar_split_clause,[],[f12367,f1216,f149,f338]) ).
fof(f338,plain,
( spl34_33
<=> ! [X7] :
( p1(X7)
| ~ r1(sK4(sK27),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_33])]) ).
fof(f149,plain,
( spl34_6
<=> ! [X0,X1] :
( p1(X0)
| ~ r1(sK27,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f1216,plain,
( spl34_163
<=> ! [X0] :
( ~ r1(sK24,X0)
| r1(X0,sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_163])]) ).
fof(f12367,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK4(sK27),X0) )
| ~ spl34_6
| ~ spl34_163 ),
inference(resolution,[],[f12303,f150]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ r1(sK27,X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl34_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f12303,plain,
( r1(sK27,sK4(sK27))
| ~ spl34_163 ),
inference(resolution,[],[f1217,f99]) ).
fof(f99,plain,
r1(sK24,sK27),
inference(cnf_transformation,[],[f56]) ).
fof(f1217,plain,
( ! [X0] :
( ~ r1(sK24,X0)
| r1(X0,sK4(X0)) )
| ~ spl34_163 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f12053,plain,
( spl34_1811
| spl34_241
| spl34_255 ),
inference(avatar_split_clause,[],[f1844,f1819,f1766,f12051]) ).
fof(f1844,plain,
( ! [X0,X1] :
( p1(sK12(sK24))
| ~ r1(X0,sK12(sK24))
| ~ r1(X1,X0)
| ~ sP1(X1) )
| spl34_255 ),
inference(resolution,[],[f1821,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( p1(sK8(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f1821,plain,
( ~ p1(sK8(sK12(sK24)))
| spl34_255 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f12013,plain,
( spl34_28
| spl34_1806
| ~ spl34_27 ),
inference(avatar_split_clause,[],[f12006,f301,f12010,f305]) ).
fof(f301,plain,
( spl34_27
<=> p1(sK29(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_27])]) ).
fof(f12006,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(sK24)
| ~ r1(X0,sK24)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4) )
| ~ spl34_27 ),
inference(resolution,[],[f303,f89]) ).
fof(f89,plain,
! [X48,X46,X47,X44,X45,X43] :
( ~ p1(sK29(X48))
| sP1(X48)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(sK13,X43) ),
inference(cnf_transformation,[],[f56]) ).
fof(f303,plain,
( p1(sK29(sK24))
| ~ spl34_27 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f11978,plain,
( spl34_26
| spl34_27
| ~ spl34_1735 ),
inference(avatar_split_clause,[],[f11977,f11565,f301,f297]) ).
fof(f297,plain,
( spl34_26
<=> p1(sK25(sK29(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_26])]) ).
fof(f11977,plain,
( p1(sK25(sK29(sK24)))
| spl34_27
| ~ spl34_1735 ),
inference(subsumption_resolution,[],[f11589,f302]) ).
fof(f302,plain,
( ~ p1(sK29(sK24))
| spl34_27 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f11589,plain,
( p1(sK29(sK24))
| p1(sK25(sK29(sK24)))
| ~ spl34_1735 ),
inference(resolution,[],[f11567,f104]) ).
fof(f104,plain,
! [X37] :
( ~ r1(sK24,X37)
| p1(X37)
| p1(sK25(X37)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f11567,plain,
( r1(sK24,sK29(sK24))
| ~ spl34_1735 ),
inference(avatar_component_clause,[],[f11565]) ).
fof(f11976,plain,
( spl34_1753
| ~ spl34_26
| spl34_27
| ~ spl34_1734
| ~ spl34_1735 ),
inference(avatar_split_clause,[],[f11975,f11565,f11561,f301,f297,f11670]) ).
fof(f11670,plain,
( spl34_1753
<=> ! [X0] :
( p1(X0)
| ~ r1(sK25(sK29(sK24)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1753])]) ).
fof(f11975,plain,
( ! [X0] :
( ~ p1(sK25(sK29(sK24)))
| p1(X0)
| ~ r1(sK25(sK29(sK24)),X0) )
| spl34_27
| ~ spl34_1734
| ~ spl34_1735 ),
inference(subsumption_resolution,[],[f11974,f11567]) ).
fof(f11974,plain,
( ! [X0] :
( ~ p1(sK25(sK29(sK24)))
| p1(X0)
| ~ r1(sK25(sK29(sK24)),X0)
| ~ r1(sK24,sK29(sK24)) )
| spl34_27
| ~ spl34_1734 ),
inference(subsumption_resolution,[],[f11604,f302]) ).
fof(f11604,plain,
( ! [X0] :
( ~ p1(sK25(sK29(sK24)))
| p1(X0)
| ~ r1(sK25(sK29(sK24)),X0)
| p1(sK29(sK24))
| ~ r1(sK24,sK29(sK24)) )
| ~ spl34_1734 ),
inference(resolution,[],[f11562,f101]) ).
fof(f101,plain,
! [X37] :
( r1(X37,sK25(X37))
| p1(X37)
| ~ r1(sK24,X37) ),
inference(cnf_transformation,[],[f56]) ).
fof(f11562,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK24),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl34_1734 ),
inference(avatar_component_clause,[],[f11561]) ).
fof(f11973,plain,
( spl34_27
| ~ spl34_1735
| ~ spl34_1753 ),
inference(avatar_contradiction_clause,[],[f11972]) ).
fof(f11972,plain,
( $false
| spl34_27
| ~ spl34_1735
| ~ spl34_1753 ),
inference(subsumption_resolution,[],[f11971,f11567]) ).
fof(f11971,plain,
( ~ r1(sK24,sK29(sK24))
| spl34_27
| ~ spl34_1735
| ~ spl34_1753 ),
inference(subsumption_resolution,[],[f11970,f302]) ).
fof(f11970,plain,
( p1(sK29(sK24))
| ~ r1(sK24,sK29(sK24))
| spl34_27
| ~ spl34_1735
| ~ spl34_1753 ),
inference(resolution,[],[f11849,f103]) ).
fof(f103,plain,
! [X37] :
( ~ p1(sK26(X37))
| p1(X37)
| ~ r1(sK24,X37) ),
inference(cnf_transformation,[],[f56]) ).
fof(f11849,plain,
( p1(sK26(sK29(sK24)))
| spl34_27
| ~ spl34_1735
| ~ spl34_1753 ),
inference(subsumption_resolution,[],[f11848,f11567]) ).
fof(f11848,plain,
( p1(sK26(sK29(sK24)))
| ~ r1(sK24,sK29(sK24))
| spl34_27
| ~ spl34_1753 ),
inference(subsumption_resolution,[],[f11828,f302]) ).
fof(f11828,plain,
( p1(sK26(sK29(sK24)))
| p1(sK29(sK24))
| ~ r1(sK24,sK29(sK24))
| ~ spl34_1753 ),
inference(resolution,[],[f11671,f102]) ).
fof(f102,plain,
! [X37] :
( r1(sK25(X37),sK26(X37))
| p1(X37)
| ~ r1(sK24,X37) ),
inference(cnf_transformation,[],[f56]) ).
fof(f11671,plain,
( ! [X0] :
( ~ r1(sK25(sK29(sK24)),X0)
| p1(X0) )
| ~ spl34_1753 ),
inference(avatar_component_clause,[],[f11670]) ).
fof(f4088,plain,
( spl34_40
| ~ spl34_72 ),
inference(avatar_split_clause,[],[f2465,f662,f368]) ).
fof(f2465,plain,
( r1(sK24,sK10(sK24))
| ~ spl34_72 ),
inference(resolution,[],[f663,f71]) ).
fof(f71,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f2451,plain,
( spl34_4
| ~ spl34_42
| ~ spl34_112
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f2450,f1195,f900,f411,f137]) ).
fof(f137,plain,
( spl34_4
<=> p1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f411,plain,
( spl34_42
<=> p1(sK6(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_42])]) ).
fof(f900,plain,
( spl34_112
<=> p1(sK7(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_112])]) ).
fof(f1195,plain,
( spl34_161
<=> sP2(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_161])]) ).
fof(f2450,plain,
( p1(sK24)
| ~ spl34_42
| ~ spl34_112
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f2446,f1196]) ).
fof(f1196,plain,
( sP2(sK24)
| ~ spl34_161 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f2446,plain,
( p1(sK24)
| ~ sP2(sK24)
| ~ spl34_42
| ~ spl34_112 ),
inference(subsumption_resolution,[],[f2444,f99]) ).
fof(f2444,plain,
( ~ r1(sK24,sK27)
| p1(sK24)
| ~ sP2(sK24)
| ~ spl34_42
| ~ spl34_112 ),
inference(resolution,[],[f413,f2179]) ).
fof(f2179,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(X0,sK27)
| p1(X0)
| ~ sP2(X0) )
| ~ spl34_112 ),
inference(resolution,[],[f902,f64]) ).
fof(f64,plain,
! [X0,X4] :
( ~ p1(sK7(X4))
| ~ p1(sK6(X0))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK6(X0),X2) )
& ~ p1(sK6(X0))
& r1(X0,sK6(X0)) )
| ! [X4] :
( ( ~ p1(sK7(X4))
& r1(X4,sK7(X4)) )
| ~ r1(X0,X4) )
| p1(X0)
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f19,f21,f20]) ).
fof(f20,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(sK6(X0),X2) )
& ~ p1(sK6(X0))
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X4] :
( ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
=> ( ~ p1(sK7(X4))
& r1(X4,sK7(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ! [X4] :
( ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
| ~ r1(X0,X4) )
| p1(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X48] :
( ? [X60] :
( ! [X61] :
( ~ p1(X61)
| ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p1(X60)
& r1(X48,X60) )
| ! [X63] :
( ? [X64] :
( ~ p1(X64)
& r1(X63,X64) )
| ~ r1(X48,X63) )
| p1(X48)
| ~ sP2(X48) ),
inference(nnf_transformation,[],[f10]) ).
fof(f902,plain,
( p1(sK7(sK27))
| ~ spl34_112 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f413,plain,
( p1(sK6(sK24))
| ~ spl34_42 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f2439,plain,
( spl34_42
| spl34_41
| ~ spl34_135 ),
inference(avatar_split_clause,[],[f2438,f1010,f407,f411]) ).
fof(f407,plain,
( spl34_41
<=> p1(sK25(sK6(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_41])]) ).
fof(f1010,plain,
( spl34_135
<=> r1(sK24,sK6(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_135])]) ).
fof(f2438,plain,
( p1(sK6(sK24))
| spl34_41
| ~ spl34_135 ),
inference(subsumption_resolution,[],[f2434,f408]) ).
fof(f408,plain,
( ~ p1(sK25(sK6(sK24)))
| spl34_41 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f2434,plain,
( p1(sK6(sK24))
| p1(sK25(sK6(sK24)))
| ~ spl34_135 ),
inference(resolution,[],[f1011,f104]) ).
fof(f1011,plain,
( r1(sK24,sK6(sK24))
| ~ spl34_135 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f2433,plain,
( ~ spl34_135
| spl34_136
| ~ spl34_41
| spl34_42
| ~ spl34_119 ),
inference(avatar_split_clause,[],[f2432,f932,f411,f407,f1014,f1010]) ).
fof(f1014,plain,
( spl34_136
<=> ! [X0] :
( p1(X0)
| ~ r1(sK25(sK6(sK24)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_136])]) ).
fof(f932,plain,
( spl34_119
<=> ! [X6,X5] :
( ~ p1(X5)
| ~ r1(sK6(sK24),X5)
| p1(X6)
| ~ r1(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_119])]) ).
fof(f2432,plain,
( ! [X0] :
( ~ p1(sK25(sK6(sK24)))
| p1(X0)
| ~ r1(sK25(sK6(sK24)),X0)
| ~ r1(sK24,sK6(sK24)) )
| spl34_42
| ~ spl34_119 ),
inference(subsumption_resolution,[],[f2411,f412]) ).
fof(f412,plain,
( ~ p1(sK6(sK24))
| spl34_42 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f2411,plain,
( ! [X0] :
( ~ p1(sK25(sK6(sK24)))
| p1(X0)
| ~ r1(sK25(sK6(sK24)),X0)
| p1(sK6(sK24))
| ~ r1(sK24,sK6(sK24)) )
| ~ spl34_119 ),
inference(resolution,[],[f933,f101]) ).
fof(f933,plain,
( ! [X6,X5] :
( ~ r1(sK6(sK24),X5)
| ~ p1(X5)
| p1(X6)
| ~ r1(X5,X6) )
| ~ spl34_119 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f2431,plain,
( spl34_135
| spl34_4
| ~ spl34_112
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f2428,f1195,f900,f137,f1010]) ).
fof(f2428,plain,
( r1(sK24,sK6(sK24))
| spl34_4
| ~ spl34_112
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f2427,f138]) ).
fof(f138,plain,
( ~ p1(sK24)
| spl34_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f2427,plain,
( p1(sK24)
| r1(sK24,sK6(sK24))
| ~ spl34_112
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f2426,f99]) ).
fof(f2426,plain,
( ~ r1(sK24,sK27)
| p1(sK24)
| r1(sK24,sK6(sK24))
| ~ spl34_112
| ~ spl34_161 ),
inference(resolution,[],[f2178,f1196]) ).
fof(f2178,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK27)
| p1(X0)
| r1(X0,sK6(X0)) )
| ~ spl34_112 ),
inference(resolution,[],[f902,f62]) ).
fof(f62,plain,
! [X0,X4] :
( ~ p1(sK7(X4))
| r1(X0,sK6(X0))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f2175,plain,
( spl34_42
| ~ spl34_135
| ~ spl34_136 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2174,plain,
( $false
| spl34_42
| ~ spl34_135
| ~ spl34_136 ),
inference(subsumption_resolution,[],[f2173,f1011]) ).
fof(f2173,plain,
( ~ r1(sK24,sK6(sK24))
| spl34_42
| ~ spl34_135
| ~ spl34_136 ),
inference(subsumption_resolution,[],[f2172,f412]) ).
fof(f2172,plain,
( p1(sK6(sK24))
| ~ r1(sK24,sK6(sK24))
| spl34_42
| ~ spl34_135
| ~ spl34_136 ),
inference(resolution,[],[f2074,f103]) ).
fof(f2074,plain,
( p1(sK26(sK6(sK24)))
| spl34_42
| ~ spl34_135
| ~ spl34_136 ),
inference(subsumption_resolution,[],[f2073,f1011]) ).
fof(f2073,plain,
( p1(sK26(sK6(sK24)))
| ~ r1(sK24,sK6(sK24))
| spl34_42
| ~ spl34_136 ),
inference(subsumption_resolution,[],[f2053,f412]) ).
fof(f2053,plain,
( p1(sK26(sK6(sK24)))
| p1(sK6(sK24))
| ~ r1(sK24,sK6(sK24))
| ~ spl34_136 ),
inference(resolution,[],[f1015,f102]) ).
fof(f1015,plain,
( ! [X0] :
( ~ r1(sK25(sK6(sK24)),X0)
| p1(X0) )
| ~ spl34_136 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1931,plain,
( spl34_135
| spl34_43
| spl34_4
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1930,f1195,f137,f415,f1010]) ).
fof(f415,plain,
( spl34_43
<=> ! [X0] :
( ~ r1(sK24,X0)
| r1(X0,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_43])]) ).
fof(f1930,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| ~ r1(sK24,X0)
| r1(sK24,sK6(sK24)) )
| spl34_4
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f1220,f138]) ).
fof(f1220,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| ~ r1(sK24,X0)
| p1(sK24)
| r1(sK24,sK6(sK24)) )
| ~ spl34_161 ),
inference(resolution,[],[f1196,f61]) ).
fof(f61,plain,
! [X0,X4] :
( ~ sP2(X0)
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| r1(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f1918,plain,
( spl34_112
| ~ spl34_43 ),
inference(avatar_split_clause,[],[f1917,f415,f900]) ).
fof(f1917,plain,
( p1(sK7(sK27))
| ~ spl34_43 ),
inference(subsumption_resolution,[],[f1480,f99]) ).
fof(f1480,plain,
( ~ r1(sK24,sK27)
| p1(sK7(sK27))
| ~ spl34_43 ),
inference(resolution,[],[f416,f100]) ).
fof(f100,plain,
! [X41] :
( ~ r1(sK27,X41)
| p1(X41) ),
inference(cnf_transformation,[],[f56]) ).
fof(f416,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| ~ r1(sK24,X0) )
| ~ spl34_43 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1902,plain,
( spl34_119
| spl34_4
| ~ spl34_112
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1901,f1195,f900,f137,f932]) ).
fof(f1901,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK6(sK24),X0)
| ~ p1(X0)
| p1(X1) )
| spl34_4
| ~ spl34_112
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f1900,f138]) ).
fof(f1900,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK6(sK24),X0)
| ~ p1(X0)
| p1(sK24)
| p1(X1) )
| ~ spl34_112
| ~ spl34_161 ),
inference(subsumption_resolution,[],[f1898,f99]) ).
fof(f1898,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK6(sK24),X0)
| ~ p1(X0)
| ~ r1(sK24,sK27)
| p1(sK24)
| p1(X1) )
| ~ spl34_112
| ~ spl34_161 ),
inference(resolution,[],[f1043,f1196]) ).
fof(f1043,plain,
( ! [X2,X0,X1] :
( ~ sP2(X2)
| ~ r1(X1,X0)
| ~ r1(sK6(X2),X1)
| ~ p1(X1)
| ~ r1(X2,sK27)
| p1(X2)
| p1(X0) )
| ~ spl34_112 ),
inference(resolution,[],[f902,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X4] :
( ~ p1(sK7(X4))
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| ~ p1(X2)
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f1443,plain,
( spl34_4
| spl34_43
| spl34_119
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1219,f1195,f932,f415,f137]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK6(sK24),X1)
| r1(X2,sK7(X2))
| ~ r1(sK24,X2)
| p1(sK24)
| ~ p1(X1) )
| ~ spl34_161 ),
inference(resolution,[],[f1196,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X4] :
( ~ sP2(X0)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f1218,plain,
( spl34_28
| spl34_39
| spl34_163
| ~ spl34_4
| spl34_72 ),
inference(avatar_split_clause,[],[f1214,f662,f137,f1216,f365,f305]) ).
fof(f365,plain,
( spl34_39
<=> ! [X5] :
( ~ r1(sK24,X5)
| p1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_39])]) ).
fof(f1214,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK24,X0)
| p1(X1)
| ~ r1(sK24,X1)
| r1(X0,sK4(X0))
| ~ r1(X2,sK24)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6) )
| ~ spl34_4
| spl34_72 ),
inference(subsumption_resolution,[],[f1210,f139]) ).
fof(f139,plain,
( p1(sK24)
| ~ spl34_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK24,X0)
| ~ p1(sK24)
| p1(X1)
| ~ r1(sK24,X1)
| r1(X0,sK4(X0))
| ~ r1(X2,sK24)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6) )
| spl34_72 ),
inference(resolution,[],[f664,f331]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP0(X1)
| ~ r1(X1,X0)
| ~ p1(X1)
| p1(X2)
| ~ r1(X1,X2)
| r1(X0,sK4(X0))
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK13,X7) ),
inference(resolution,[],[f57,f84]) ).
fof(f84,plain,
! [X48,X46,X47,X44,X45,X43] :
( sP3(X48)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(sK13,X43) ),
inference(cnf_transformation,[],[f56]) ).
fof(f57,plain,
! [X0,X1,X4] :
( ~ sP3(X0)
| r1(X1,sK4(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| sP0(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( ( p1(sK4(X1))
& ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1))
& r1(X1,sK4(X1)) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f14,f16,f15]) ).
fof(f15,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p1(sK4(X1))
& ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
& r1(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
=> ( ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ sP3(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X48] :
( sP0(X48)
| ! [X71] :
( ? [X72] :
( p1(X72)
& ? [X73] :
( ~ p1(X73)
& r1(X72,X73) )
& r1(X71,X72) )
| ~ r1(X48,X71) )
| ~ p1(X48)
| ! [X74] :
( p1(X74)
| ~ r1(X48,X74) )
| ~ sP3(X48) ),
inference(nnf_transformation,[],[f11]) ).
fof(f664,plain,
( ~ sP0(sK24)
| spl34_72 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1213,plain,
( spl34_28
| spl34_39
| ~ spl34_4
| ~ spl34_33
| spl34_72 ),
inference(avatar_split_clause,[],[f1212,f662,f338,f137,f365,f305]) ).
fof(f1212,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( p1(X0)
| ~ r1(sK24,X0)
| ~ r1(X1,sK24)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK13,X5) )
| ~ spl34_4
| ~ spl34_33
| spl34_72 ),
inference(subsumption_resolution,[],[f1211,f99]) ).
fof(f1211,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( p1(X0)
| ~ r1(sK24,X0)
| ~ r1(sK24,sK27)
| ~ r1(X1,sK24)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK13,X5) )
| ~ spl34_4
| ~ spl34_33
| spl34_72 ),
inference(subsumption_resolution,[],[f1209,f139]) ).
fof(f1209,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ p1(sK24)
| p1(X0)
| ~ r1(sK24,X0)
| ~ r1(sK24,sK27)
| ~ r1(X1,sK24)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK13,X5) )
| ~ spl34_33
| spl34_72 ),
inference(resolution,[],[f664,f845]) ).
fof(f845,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( sP0(X0)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(X0,sK27)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6) )
| ~ spl34_33 ),
inference(resolution,[],[f823,f84]) ).
fof(f823,plain,
( ! [X0,X1] :
( ~ sP3(X0)
| ~ r1(X0,sK27)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| sP0(X0) )
| ~ spl34_33 ),
inference(subsumption_resolution,[],[f806,f59]) ).
fof(f59,plain,
! [X0,X1,X4] :
( ~ p1(sK5(X1))
| sP0(X0)
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f806,plain,
( ! [X0,X1] :
( p1(sK5(sK27))
| sP0(X0)
| ~ r1(X0,sK27)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) )
| ~ spl34_33 ),
inference(resolution,[],[f339,f58]) ).
fof(f58,plain,
! [X0,X1,X4] :
( r1(sK4(X1),sK5(X1))
| sP0(X0)
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f339,plain,
( ! [X7] :
( ~ r1(sK4(sK27),X7)
| p1(X7) )
| ~ spl34_33 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f1206,plain,
( ~ spl34_4
| spl34_39
| spl34_71
| spl34_28
| ~ spl34_70 ),
inference(avatar_split_clause,[],[f853,f633,f305,f640,f365,f137]) ).
fof(f633,plain,
( spl34_70
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( p1(X0)
| ~ r1(sK13,X9)
| ~ r1(X9,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X3)
| ~ p1(X1)
| ~ r1(X3,X4)
| p1(X4)
| ~ p1(X3)
| ~ r1(X3,sK27)
| p1(X2)
| ~ r1(sK10(X3),X2)
| ~ r1(X2,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_70])]) ).
fof(f853,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,sK24)
| ~ p1(X5)
| ~ r1(sK24,X6)
| p1(X6)
| ~ p1(sK24)
| p1(X7)
| p1(X8)
| ~ r1(sK10(sK24),X8)
| ~ r1(X8,X5)
| ~ r1(X5,X7) )
| ~ spl34_70 ),
inference(resolution,[],[f634,f99]) ).
fof(f634,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(X3,sK27)
| ~ r1(sK13,X9)
| ~ r1(X9,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X3)
| ~ p1(X1)
| ~ r1(X3,X4)
| p1(X4)
| ~ p1(X3)
| p1(X0)
| p1(X2)
| ~ r1(sK10(X3),X2)
| ~ r1(X2,X1)
| ~ r1(X1,X0) )
| ~ spl34_70 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f1201,plain,
( ~ spl34_161
| spl34_4
| spl34_43
| ~ spl34_42 ),
inference(avatar_split_clause,[],[f1042,f411,f415,f137,f1195]) ).
fof(f1042,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| ~ r1(sK24,X0)
| p1(sK24)
| ~ sP2(sK24) )
| ~ spl34_42 ),
inference(resolution,[],[f413,f63]) ).
fof(f63,plain,
! [X0,X4] :
( ~ p1(sK6(X0))
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f1200,plain,
( spl34_28
| spl34_161 ),
inference(avatar_split_clause,[],[f1199,f1195,f305]) ).
fof(f1199,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,sK24)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4) )
| spl34_161 ),
inference(resolution,[],[f1197,f85]) ).
fof(f85,plain,
! [X48,X46,X47,X44,X45,X43] :
( sP2(X48)
| ~ r1(X47,X48)
| ~ r1(X46,X47)
| ~ r1(X45,X46)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(sK13,X43) ),
inference(cnf_transformation,[],[f56]) ).
fof(f1197,plain,
( ~ sP2(sK24)
| spl34_161 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f848,plain,
( spl34_70
| ~ spl34_33 ),
inference(avatar_split_clause,[],[f846,f338,f633]) ).
fof(f846,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(X0,sK27)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6)
| ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X9,X7)
| ~ r1(sK10(X0),X9)
| p1(X9) )
| ~ spl34_33 ),
inference(resolution,[],[f845,f77]) ).
fof(f77,plain,
! [X2,X0,X4,X5] :
( ~ sP0(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(sK10(X0),X2)
| p1(X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f635,plain,
( spl34_33
| spl34_70
| ~ spl34_6 ),
inference(avatar_split_clause,[],[f629,f149,f633,f338]) ).
fof(f629,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK10(X3),X2)
| p1(X2)
| ~ r1(X3,sK27)
| ~ p1(X3)
| p1(X4)
| ~ r1(X3,X4)
| ~ p1(X1)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK13,X9)
| p1(X10)
| ~ r1(sK4(sK27),X10) )
| ~ spl34_6 ),
inference(resolution,[],[f333,f150]) ).
fof(f333,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( r1(X4,sK4(X4))
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK10(X3),X2)
| p1(X2)
| ~ r1(X3,X4)
| ~ p1(X3)
| p1(X5)
| ~ r1(X3,X5)
| ~ p1(X0)
| ~ r1(X6,X3)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(sK13,X10) ),
inference(resolution,[],[f77,f331]) ).
fof(f591,plain,
~ spl34_39,
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| ~ spl34_39 ),
inference(subsumption_resolution,[],[f573,f98]) ).
fof(f98,plain,
~ p1(sK28),
inference(cnf_transformation,[],[f56]) ).
fof(f573,plain,
( p1(sK28)
| ~ spl34_39 ),
inference(resolution,[],[f366,f97]) ).
fof(f97,plain,
r1(sK24,sK28),
inference(cnf_transformation,[],[f56]) ).
fof(f366,plain,
( ! [X5] :
( ~ r1(sK24,X5)
| p1(X5) )
| ~ spl34_39 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f564,plain,
( spl34_28
| ~ spl34_49 ),
inference(avatar_split_clause,[],[f563,f441,f305]) ).
fof(f441,plain,
( spl34_49
<=> ! [X5,X3,X4,X7,X6,X2] :
( ~ r1(X2,sK27)
| ~ r1(sK13,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_49])]) ).
fof(f563,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,sK24) )
| ~ spl34_49 ),
inference(resolution,[],[f442,f99]) ).
fof(f442,plain,
( ! [X2,X3,X6,X7,X4,X5] :
( ~ r1(X2,sK27)
| ~ r1(sK13,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2) )
| ~ spl34_49 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f445,plain,
( spl34_49
| spl34_6 ),
inference(avatar_split_clause,[],[f444,f149,f441]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK27,X1)
| ~ r1(X2,sK27)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK13,X7) ),
inference(subsumption_resolution,[],[f233,f83]) ).
fof(f83,plain,
! [X65,X58,X59,X56,X57,X62,X60,X61,X64] :
( ~ p1(sK31(X62))
| p1(X65)
| ~ r1(X64,X65)
| ~ r1(X62,X64)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(X58,X59)
| ~ r1(X57,X58)
| ~ r1(X56,X57)
| ~ r1(sK13,X56) ),
inference(cnf_transformation,[],[f56]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK27,X1)
| ~ r1(X2,sK27)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK13,X7)
| p1(sK31(sK27)) ),
inference(resolution,[],[f82,f100]) ).
fof(f82,plain,
! [X65,X58,X59,X56,X57,X62,X60,X61,X64] :
( r1(X62,sK31(X62))
| p1(X65)
| ~ r1(X64,X65)
| ~ r1(X62,X64)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(X58,X59)
| ~ r1(X57,X58)
| ~ r1(X56,X57)
| ~ r1(sK13,X56) ),
inference(cnf_transformation,[],[f56]) ).
fof(f417,plain,
( spl34_41
| spl34_42
| spl34_28
| spl34_4
| spl34_43 ),
inference(avatar_split_clause,[],[f329,f415,f137,f305,f411,f407]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK24,X0)
| p1(sK24)
| r1(X0,sK7(X0))
| ~ r1(X1,sK24)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK13,X5)
| p1(sK6(sK24))
| p1(sK25(sK6(sK24))) ),
inference(resolution,[],[f326,f104]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r1(X1,sK6(X1))
| ~ r1(X1,X0)
| p1(X1)
| r1(X0,sK7(X0))
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6) ),
inference(resolution,[],[f61,f85]) ).
fof(f404,plain,
~ spl34_28,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl34_28 ),
inference(subsumption_resolution,[],[f402,f91]) ).
fof(f91,plain,
r1(sK13,sK19),
inference(cnf_transformation,[],[f56]) ).
fof(f402,plain,
( ~ r1(sK13,sK19)
| ~ spl34_28 ),
inference(resolution,[],[f400,f92]) ).
fof(f92,plain,
r1(sK19,sK20),
inference(cnf_transformation,[],[f56]) ).
fof(f400,plain,
( ! [X0] :
( ~ r1(X0,sK20)
| ~ r1(sK13,X0) )
| ~ spl34_28 ),
inference(resolution,[],[f398,f93]) ).
fof(f93,plain,
r1(sK20,sK21),
inference(cnf_transformation,[],[f56]) ).
fof(f398,plain,
( ! [X0,X1] :
( ~ r1(X0,sK21)
| ~ r1(X1,X0)
| ~ r1(sK13,X1) )
| ~ spl34_28 ),
inference(resolution,[],[f396,f94]) ).
fof(f94,plain,
r1(sK21,sK22),
inference(cnf_transformation,[],[f56]) ).
fof(f396,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK22)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK13,X0) )
| ~ spl34_28 ),
inference(resolution,[],[f373,f95]) ).
fof(f95,plain,
r1(sK22,sK23),
inference(cnf_transformation,[],[f56]) ).
fof(f373,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X3,sK23)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK13,X0) )
| ~ spl34_28 ),
inference(resolution,[],[f306,f96]) ).
fof(f96,plain,
r1(sK23,sK24),
inference(cnf_transformation,[],[f56]) ).
fof(f306,plain,
( ! [X2,X3,X6,X4,X5] :
( ~ r1(X2,sK24)
| ~ r1(sK13,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2) )
| ~ spl34_28 ),
inference(avatar_component_clause,[],[f305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL658+1.010 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 15:34:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.41 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (5310)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.21/0.42 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5309)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.21/0.42 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5314)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.21/0.42 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5315)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.42 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5313)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.21/0.42 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5312)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.42 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5311)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.21/0.47 % (5315)Instruction limit reached!
% 0.21/0.47 % (5315)------------------------------
% 0.21/0.47 % (5315)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (5315)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (5315)Termination reason: Time limit
% 0.21/0.47 % (5315)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (5315)Memory used [KB]: 2156
% 0.21/0.47 % (5315)Time elapsed: 0.049 s
% 0.21/0.47 % (5315)Instructions burned: 106 (million)
% 0.21/0.47 % (5313)Instruction limit reached!
% 0.21/0.47 % (5313)------------------------------
% 0.21/0.47 % (5313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (5313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (5313)Termination reason: Time limit
% 0.21/0.47 % (5313)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (5313)Memory used [KB]: 1516
% 0.21/0.47 % (5313)Time elapsed: 0.050 s
% 0.21/0.47 % (5313)Instructions burned: 109 (million)
% 0.21/0.47 % (5314)Instruction limit reached!
% 0.21/0.47 % (5314)------------------------------
% 0.21/0.47 % (5314)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (5314)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (5314)Termination reason: Time limit
% 0.21/0.47 % (5314)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (5314)Memory used [KB]: 1700
% 0.21/0.47 % (5314)Time elapsed: 0.050 s
% 0.21/0.47 % (5314)Instructions burned: 117 (million)
% 0.21/0.47 % (5312)Instruction limit reached!
% 0.21/0.47 % (5312)------------------------------
% 0.21/0.47 % (5312)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (5312)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (5312)Termination reason: Time limit
% 0.21/0.47 % (5312)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (5312)Memory used [KB]: 2458
% 0.21/0.47 % (5312)Time elapsed: 0.052 s
% 0.21/0.47 % (5312)Instructions burned: 103 (million)
% 0.21/0.51 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (5318)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 0.21/0.51 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (5317)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/319Mi)
% 0.21/0.51 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (5319)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 0.21/0.53 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (5316)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2998ds/110Mi)
% 0.21/0.54 % (5318)Instruction limit reached!
% 0.21/0.54 % (5318)------------------------------
% 0.21/0.54 % (5318)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54 % (5318)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54 % (5318)Termination reason: Time limit
% 0.21/0.54 % (5318)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (5318)Memory used [KB]: 2852
% 0.21/0.54 % (5318)Time elapsed: 0.036 s
% 0.21/0.54 % (5318)Instructions burned: 122 (million)
% 0.21/0.58 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.58 % (5320)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 0.21/0.58 % (5316)Instruction limit reached!
% 0.21/0.58 % (5316)------------------------------
% 0.21/0.58 % (5316)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.58 % (5316)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.58 % (5316)Termination reason: Time limit
% 0.21/0.58 % (5316)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (5316)Memory used [KB]: 2098
% 0.21/0.58 % (5316)Time elapsed: 0.055 s
% 0.21/0.58 % (5316)Instructions burned: 112 (million)
% 0.21/0.59 % (5317)Instruction limit reached!
% 0.21/0.59 % (5317)------------------------------
% 0.21/0.59 % (5317)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.59 % (5317)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.59 % (5317)Termination reason: Time limit
% 0.21/0.59 % (5317)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (5317)Memory used [KB]: 2943
% 0.21/0.59 % (5317)Time elapsed: 0.081 s
% 0.21/0.59 % (5317)Instructions burned: 320 (million)
% 1.80/0.61 % (5319)Instruction limit reached!
% 1.80/0.61 % (5319)------------------------------
% 1.80/0.61 % (5319)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.80/0.61 % (5319)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.80/0.61 % (5319)Termination reason: Time limit
% 1.80/0.61 % (5319)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (5319)Memory used [KB]: 2417
% 1.80/0.61 % (5319)Time elapsed: 0.106 s
% 1.80/0.61 % (5319)Instructions burned: 443 (million)
% 1.80/0.62 % (5308)Running in auto input_syntax mode. Trying TPTP
% 1.80/0.62 % (5321)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2997ds/119Mi)
% 1.97/0.62 % (5308)Running in auto input_syntax mode. Trying TPTP
% 1.97/0.62 % (5322)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=113:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2997ds/113Mi)
% 2.01/0.64 % (5320)Instruction limit reached!
% 2.01/0.64 % (5320)------------------------------
% 2.01/0.64 % (5320)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.01/0.64 % (5320)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.01/0.64 % (5320)Termination reason: Time limit
% 2.01/0.64 % (5320)Termination phase: Saturation
% 2.01/0.64
% 2.01/0.64 % (5320)Memory used [KB]: 4047
% 2.01/0.64 % (5320)Time elapsed: 0.068 s
% 2.01/0.64 % (5320)Instructions burned: 231 (million)
% 2.01/0.65 % (5321)Instruction limit reached!
% 2.01/0.65 % (5321)------------------------------
% 2.01/0.65 % (5321)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.01/0.65 % (5321)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.01/0.65 % (5321)Termination reason: Time limit
% 2.01/0.65 % (5321)Termination phase: Saturation
% 2.01/0.65
% 2.01/0.65 % (5321)Memory used [KB]: 2112
% 2.01/0.65 % (5321)Time elapsed: 0.035 s
% 2.01/0.65 % (5321)Instructions burned: 119 (million)
% 2.01/0.65 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.01/0.65 % (5323)dis-1010_1:4_sil=2000:tgt=ground:i=128:sd=2:nm=6:av=off:gsp=on:ss=axioms:nwc=10.0_0 on theBenchmark for (2997ds/128Mi)
% 2.01/0.66 % (5322)Instruction limit reached!
% 2.01/0.66 % (5322)------------------------------
% 2.01/0.66 % (5322)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.01/0.66 % (5322)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.01/0.66 % (5322)Termination reason: Time limit
% 2.01/0.66 % (5322)Termination phase: Saturation
% 2.01/0.66
% 2.01/0.66 % (5322)Memory used [KB]: 1822
% 2.01/0.66 % (5322)Time elapsed: 0.034 s
% 2.01/0.66 % (5322)Instructions burned: 114 (million)
% 2.01/0.68 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.01/0.68 % (5324)lrs+4_1:8_sil=32000:abs=on:nwc=5.0:updr=off:i=963:nm=6:plsq=on:plsql=on:plsqc=1:plsqr=2,1_0 on theBenchmark for (2997ds/963Mi)
% 2.01/0.68 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.01/0.68 % (5325)dis+1002_1:128_to=lpo:sil=2000:fd=preordered:i=204:fsr=off:av=off:sos=on:s2a=on_0 on theBenchmark for (2997ds/204Mi)
% 2.01/0.68 % (5323)Instruction limit reached!
% 2.01/0.68 % (5323)------------------------------
% 2.01/0.68 % (5323)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.01/0.68 % (5323)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.01/0.68 % (5323)Termination reason: Time limit
% 2.01/0.68 % (5323)Termination phase: Saturation
% 2.01/0.68
% 2.01/0.68 % (5323)Memory used [KB]: 3389
% 2.01/0.68 % (5323)Time elapsed: 0.036 s
% 2.01/0.68 % (5323)Instructions burned: 129 (million)
% 2.01/0.69 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.01/0.69 % (5326)lrs+1011_1:1_sil=2000:plsq=on:plsqr=32,1:fs=off:gs=on:i=516:nm=0:fsr=off:rawr=on:nwc=0.5744209687727792_0 on theBenchmark for (2997ds/516Mi)
% 2.37/0.72 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.37/0.72 % (5327)lrs+21_9739:1048576_drc=off:sil=128000:tgt=ground:spb=non_intro:s2a=on:i=1028:s2at=2.0:kws=precedence:sp=reverse_arity:awrs=decay:awrsf=270_0 on theBenchmark for (2996ds/1028Mi)
% 2.37/0.74 % (5325)Instruction limit reached!
% 2.37/0.74 % (5325)------------------------------
% 2.37/0.74 % (5325)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.37/0.74 % (5325)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.37/0.74 % (5325)Termination reason: Time limit
% 2.37/0.74 % (5325)Termination phase: Saturation
% 2.37/0.74
% 2.37/0.74 % (5325)Memory used [KB]: 3060
% 2.37/0.74 % (5325)Time elapsed: 0.060 s
% 2.37/0.74 % (5325)Instructions burned: 204 (million)
% 2.67/0.78 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.78 % (5328)ott-1011_3:2_to=lpo:drc=off:sil=2000:sims=off:sos=on:lma=on:spb=goal_then_units:lcm=predicate:fd=preordered:rp=on:newcnf=on:avsq=on:i=340:ins=1:fsr=off:avsqc=4:aac=none:plsq=on:plsqc=1:plsqr=32,1:fs=off_0 on theBenchmark for (2996ds/340Mi)
% 2.67/0.83 % (5326)Instruction limit reached!
% 2.67/0.83 % (5326)------------------------------
% 2.67/0.83 % (5326)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.67/0.83 % (5326)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.67/0.83 % (5326)Termination reason: Time limit
% 2.67/0.83 % (5326)Termination phase: Saturation
% 2.67/0.83
% 2.67/0.83 % (5326)Memory used [KB]: 6792
% 2.67/0.83 % (5326)Time elapsed: 0.144 s
% 2.67/0.83 % (5326)Instructions burned: 519 (million)
% 2.67/0.86 % (5308)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.86 % (5329)dis+1011_3:8_bsr=unit_only:slsqr=1,16:sil=2000:plsq=on:plsqr=296,127:sp=reverse_frequency:lsd=5:nwc=10.0:slsqc=3:slsq=on:st=3.0:i=225:s2at=4.5:sd=4:slsql=off:nm=16:ins=5:ss=axioms:sgt=20:rawr=on:urr=ec_only:to=lpo_0 on theBenchmark for (2995ds/225Mi)
% 3.13/0.87 % (5328)Instruction limit reached!
% 3.13/0.87 % (5328)------------------------------
% 3.13/0.87 % (5328)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.13/0.87 % (5328)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.13/0.87 % (5328)Termination reason: Time limit
% 3.13/0.87 % (5328)Termination phase: Saturation
% 3.13/0.87
% 3.13/0.87 % (5328)Memory used [KB]: 5503
% 3.13/0.87 % (5328)Time elapsed: 0.120 s
% 3.13/0.87 % (5328)Instructions burned: 340 (million)
% 3.34/0.91 % (5308)Running in auto input_syntax mode. Trying TPTP
% 3.34/0.91 % (5330)dis+1011_1:1_bsr=unit_only:slsqr=1,2:sil=2000:plsqc=1:plsq=on:plsqr=32,1:lsd=20:plsql=on:slsqc=1:slsq=on:i=732:slsql=off:nm=2:uhcvi=on:rawr=on:fsr=off:avsq=on:avsqr=9387,262144_0 on theBenchmark for (2995ds/732Mi)
% 3.44/0.92 % (5329)Instruction limit reached!
% 3.44/0.92 % (5329)------------------------------
% 3.44/0.92 % (5329)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.44/0.92 % (5329)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.44/0.92 % (5329)Termination reason: Time limit
% 3.44/0.92 % (5329)Termination phase: Saturation
% 3.44/0.92
% 3.44/0.92 % (5329)Memory used [KB]: 2690
% 3.44/0.92 % (5329)Time elapsed: 0.081 s
% 3.44/0.92 % (5329)Instructions burned: 226 (million)
% 3.53/0.95 % (5308)Running in auto input_syntax mode. Trying TPTP
% 3.53/0.95 % (5334)dis+1011_3:1_sil=64000:lsd=10:slsq=on:s2a=on:i=231:ep=RS:nm=2:ss=axioms_0 on theBenchmark for (2994ds/231Mi)
% 3.53/0.96 % (5324)Instruction limit reached!
% 3.53/0.96 % (5324)------------------------------
% 3.53/0.96 % (5324)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.53/0.96 % (5324)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.53/0.96 % (5324)Termination reason: Time limit
% 3.53/0.96 % (5324)Termination phase: Saturation
% 3.53/0.96
% 3.53/0.96 % (5324)Memory used [KB]: 9388
% 3.53/0.96 % (5324)Time elapsed: 0.281 s
% 3.53/0.96 % (5324)Instructions burned: 964 (million)
% 3.53/0.99 % (5308)Running in auto input_syntax mode. Trying TPTP
% 3.53/0.99 % (5337)lrs-32_1:1024_sil=8000:sos=on:i=752:nm=4:updr=off_0 on theBenchmark for (2994ds/752Mi)
% 4.09/1.00 % (5334)Instruction limit reached!
% 4.09/1.00 % (5334)------------------------------
% 4.09/1.00 % (5334)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.09/1.00 % (5334)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.09/1.00 % (5334)Termination reason: Time limit
% 4.09/1.00 % (5334)Termination phase: Saturation
% 4.09/1.00
% 4.09/1.00 % (5334)Memory used [KB]: 1990
% 4.09/1.00 % (5334)Time elapsed: 0.072 s
% 4.09/1.00 % (5334)Instructions burned: 234 (million)
% 4.09/1.00 % (5327)Instruction limit reached!
% 4.09/1.00 % (5327)------------------------------
% 4.09/1.00 % (5327)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.09/1.00 % (5327)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.09/1.00 % (5327)Termination reason: Time limit
% 4.09/1.00 % (5327)Termination phase: Saturation
% 4.09/1.00
% 4.09/1.00 % (5327)Memory used [KB]: 7286
% 4.09/1.00 % (5327)Time elapsed: 0.308 s
% 4.09/1.00 % (5327)Instructions burned: 1028 (million)
% 4.09/1.03 % (5308)Running in auto input_syntax mode. Trying TPTP
% 4.09/1.03 % (5348)lrs+10_1:2_sil=2000:spb=units:nwc=10.0:flr=on:i=1025:fsr=off:ss=axioms_0 on theBenchmark for (2993ds/1025Mi)
% 4.09/1.03 % (5308)Running in auto input_syntax mode. Trying TPTP
% 4.09/1.03 % (5349)lrs+1011_1:128_bsr=unit_only:sil=4000:plsq=on:plsqr=27,2:lsd=5:plsql=on:nwc=3.0:i=1583:rawr=on_0 on theBenchmark for (2993ds/1583Mi)
% 4.70/1.11 % (5330)Instruction limit reached!
% 4.70/1.11 % (5330)------------------------------
% 4.70/1.11 % (5330)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.70/1.11 % (5330)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.70/1.11 % (5330)Termination reason: Time limit
% 4.70/1.11 % (5330)Termination phase: Saturation
% 4.70/1.11
% 4.70/1.11 % (5330)Memory used [KB]: 8277
% 4.70/1.11 % (5330)Time elapsed: 0.223 s
% 4.70/1.11 % (5330)Instructions burned: 733 (million)
% 4.70/1.14 % (5308)Running in auto input_syntax mode. Trying TPTP
% 4.70/1.14 % (5360)lrs+1010_1:8_sil=4000:sos=on:urr=on:rnwc=on:nwc=10.0:i=398:sup=off:kws=frequency_0 on theBenchmark for (2992ds/398Mi)
% 4.70/1.18 % (5337)Instruction limit reached!
% 4.70/1.18 % (5337)------------------------------
% 4.70/1.18 % (5337)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.70/1.18 % (5337)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.70/1.18 % (5337)Termination reason: Time limit
% 4.70/1.18 % (5337)Termination phase: Saturation
% 4.70/1.18
% 4.70/1.18 % (5337)Memory used [KB]: 5695
% 4.70/1.18 % (5337)Time elapsed: 0.188 s
% 4.70/1.18 % (5337)Instructions burned: 754 (million)
% 5.84/1.21 % (5308)Running in auto input_syntax mode. Trying TPTP
% 5.84/1.21 % (5361)dis+1002_1:85_sil=4000:nwc=10.0:i=404:s2at=2.0:av=off:slsq=on:slsqc=2:fsr=off_0 on theBenchmark for (2991ds/404Mi)
% 6.05/1.23 % (5360)Instruction limit reached!
% 6.05/1.23 % (5360)------------------------------
% 6.05/1.23 % (5360)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.05/1.23 % (5360)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.05/1.23 % (5360)Termination reason: Time limit
% 6.05/1.23 % (5360)Termination phase: Saturation
% 6.05/1.23
% 6.05/1.23 % (5360)Memory used [KB]: 3280
% 6.05/1.23 % (5360)Time elapsed: 0.096 s
% 6.05/1.23 % (5360)Instructions burned: 400 (million)
% 6.25/1.29 % (5348)Instruction limit reached!
% 6.25/1.29 % (5348)------------------------------
% 6.25/1.29 % (5348)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.25/1.29 % (5348)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.25/1.29 % (5348)Termination reason: Time limit
% 6.25/1.29 % (5348)Termination phase: Saturation
% 6.25/1.29
% 6.25/1.29 % (5348)Memory used [KB]: 11241
% 6.25/1.29 % (5348)Time elapsed: 0.259 s
% 6.25/1.29 % (5348)Instructions burned: 1028 (million)
% 6.25/1.30 % (5361)Instruction limit reached!
% 6.25/1.30 % (5361)------------------------------
% 6.25/1.30 % (5361)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.25/1.30 % (5361)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.25/1.30 % (5361)Termination reason: Time limit
% 6.25/1.30 % (5361)Termination phase: Saturation
% 6.25/1.30
% 6.25/1.30 % (5361)Memory used [KB]: 3323
% 6.25/1.30 % (5361)Time elapsed: 0.097 s
% 6.25/1.30 % (5361)Instructions burned: 405 (million)
% 6.25/1.31 % (5308)Running in auto input_syntax mode. Trying TPTP
% 6.25/1.31 % (5395)lrs+1010_1:32_bsr=on:sil=4000:i=483:nm=2:gsp=on_0 on theBenchmark for (2991ds/483Mi)
% 6.79/1.33 % (5308)Running in auto input_syntax mode. Trying TPTP
% 6.79/1.33 % (5446)lrs+1011_4:1_sil=2000:sp=const_max:sos=on:bce=on:avsq=on:i=499:sd=4:kws=inv_frequency:avsqr=1,16:nm=2:ss=axioms:uhcvi=on:fs=off:fsr=off:s2a=on:etr=on:anc=none:avsqc=5_0 on theBenchmark for (2990ds/499Mi)
% 6.79/1.34 % (5308)Running in auto input_syntax mode. Trying TPTP
% 6.79/1.34 % (5457)dis+11_1:64_bsr=unit_only:to=lpo:sil=16000:sp=frequency:flr=on:cond=on:i=560:awrs=converge:awrsf=200:rawr=on:sup=off:abs=on_0 on theBenchmark for (2990ds/560Mi)
% 6.79/1.35 % (5349)First to succeed.
% 6.79/1.36 % (5349)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5308"
% 6.79/1.36 % (5308)Running in auto input_syntax mode. Trying TPTP
% 6.79/1.36 % (5349)Refutation found. Thanks to Tanya!
% 6.79/1.36 % SZS status Theorem for theBenchmark
% 6.79/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 6.79/1.36 % (5349)------------------------------
% 6.79/1.36 % (5349)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.79/1.36 % (5349)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.79/1.36 % (5349)Termination reason: Refutation
% 6.79/1.36
% 6.79/1.36 % (5349)Memory used [KB]: 9325
% 6.79/1.36 % (5349)Time elapsed: 0.325 s
% 6.79/1.36 % (5349)Instructions burned: 1260 (million)
% 6.79/1.36 % (5349)------------------------------
% 6.79/1.36 % (5349)------------------------------
% 6.79/1.36 % (5308)Success in time 0.988 s
%------------------------------------------------------------------------------