TSTP Solution File: LCL640+1.005 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL640+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:43:30 EDT 2022
% Result : Theorem 2.87s 0.81s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 61
% Syntax : Number of formulae : 294 ( 11 unt; 0 def)
% Number of atoms : 2499 ( 0 equ)
% Maximal formula atoms : 174 ( 8 avg)
% Number of connectives : 3815 (1610 ~;1648 |; 501 &)
% ( 28 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 29 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 6 con; 0-1 aty)
% Number of variables : 1116 ( 887 !; 229 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1960,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f162,f269,f336,f351,f356,f375,f392,f609,f726,f739,f770,f787,f1190,f1238,f1243,f1355,f1555,f1672,f1674,f1696,f1729,f1732,f1827,f1866,f1884,f1934,f1939,f1945,f1955,f1959]) ).
fof(f1959,plain,
( spl32_229
| spl32_5
| spl32_3
| ~ spl32_36
| ~ spl32_37 ),
inference(avatar_split_clause,[],[f1958,f353,f348,f141,f149,f1861]) ).
fof(f1861,plain,
( spl32_229
<=> ! [X2] :
( ~ r1(sK29(sK7(sK27)),X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_229])]) ).
fof(f149,plain,
( spl32_5
<=> ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK27,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f141,plain,
( spl32_3
<=> p1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f348,plain,
( spl32_36
<=> p1(sK29(sK7(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
fof(f353,plain,
( spl32_37
<=> r1(sK7(sK27),sK29(sK7(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
fof(f1958,plain,
( ! [X0,X1] :
( r1(X1,sK6(X1))
| ~ r1(sK27,X1)
| p1(X0)
| ~ r1(sK29(sK7(sK27)),X0) )
| spl32_3
| ~ spl32_36
| ~ spl32_37 ),
inference(subsumption_resolution,[],[f1957,f142]) ).
fof(f142,plain,
( ~ p1(sK27)
| spl32_3 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f1957,plain,
( ! [X0,X1] :
( p1(sK27)
| ~ r1(sK29(sK7(sK27)),X0)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK27,X1) )
| ~ spl32_36
| ~ spl32_37 ),
inference(subsumption_resolution,[],[f1956,f122]) ).
fof(f122,plain,
sP2(sK27),
inference(resolution,[],[f121,f83]) ).
fof(f83,plain,
r1(sK26,sK27),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ! [X1] :
( ~ r1(sK13,X1)
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ! [X5] :
( ~ r1(X4,X5)
| ( r1(X5,sK14(X5))
& ~ p1(sK14(X5)) )
| ! [X7] :
( ~ r1(X5,X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) ) ) )
& ( ! [X9] :
( ( ~ p1(sK15(X9))
& r1(X9,sK15(X9)) )
| ~ r1(X4,X9) )
| ( ~ p1(sK16(X4))
& r1(X4,sK16(X4))
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(sK16(X4),X12) ) )
| p1(X4) ) ) ) )
| ~ r1(X1,X2) ) )
& ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
| ( r1(X16,sK17(X16))
& ~ p1(sK17(X16)) )
| ~ r1(X15,X16) )
& ( ( ~ p1(sK18(X15))
& ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(sK18(X15),X21) )
& r1(X15,sK18(X15)) )
| ! [X23] :
( ~ r1(X15,X23)
| ( ~ p1(sK19(X23))
& r1(X23,sK19(X23)) ) )
| p1(X15) ) ) )
| ~ r1(sK13,X14) )
& ! [X25] :
( ~ r1(sK13,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( p1(X28)
| ~ r1(X27,X28) ) )
| ( r1(X26,sK20(X26))
& ~ p1(sK20(X26)) ) )
& ( ! [X30] :
( ( ~ p1(sK21(X30))
& r1(X30,sK21(X30)) )
| ~ r1(X25,X30) )
| p1(X25)
| ( ~ p1(sK22(X25))
& r1(X25,sK22(X25))
& ! [X33] :
( ~ r1(sK22(X25),X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ) ) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ~ r1(X36,X37)
| ( sP2(X37)
& ! [X38] :
( ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) ) )
| ( r1(X38,sK23(X38))
& ~ p1(sK23(X38)) )
| ~ r1(X37,X38) )
& ( sP1(X37)
| ( r1(X37,sK24(X37))
& ~ p1(sK24(X37))
& ! [X43] :
( ~ p1(X43)
| ~ r1(sK24(X37),X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) ) ) )
& sP3(X37) ) )
| ~ r1(X35,X36) )
| ~ r1(sK13,X35) )
& ~ p1(sK28)
& r1(sK27,sK28)
& r1(sK26,sK27)
& ! [X49] :
( ~ r1(sK27,X49)
| ( ~ p1(sK30(X49))
& r1(sK29(X49),sK30(X49))
& p1(sK29(X49))
& r1(X49,sK29(X49)) )
| p1(X49) )
& r1(sK27,sK31)
& ! [X53] :
( ~ r1(sK31,X53)
| p1(X53) )
& r1(sK25,sK26)
& r1(sK13,sK25) ),
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])],[f33,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
| ! [X7] :
( ~ r1(X5,X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) ) ) )
& ( ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X4,X9) )
| ? [X11] :
( ~ p1(X11)
& r1(X4,X11)
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
| p1(X4) ) ) ) )
| ~ r1(X1,X2) ) )
& ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
| ~ r1(X15,X16) )
& ( ? [X20] :
( ~ p1(X20)
& ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X15,X20) )
| ! [X23] :
( ~ r1(X15,X23)
| ? [X24] :
( ~ p1(X24)
& r1(X23,X24) ) )
| p1(X15) ) ) )
| ~ r1(X0,X14) )
& ! [X25] :
( ~ r1(X0,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( p1(X28)
| ~ r1(X27,X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ( ! [X30] :
( ? [X31] :
( ~ p1(X31)
& r1(X30,X31) )
| ~ r1(X25,X30) )
| p1(X25)
| ? [X32] :
( ~ p1(X32)
& r1(X25,X32)
& ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ) ) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ~ r1(X36,X37)
| ( sP2(X37)
& ! [X38] :
( ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) ) )
| ? [X41] :
( r1(X38,X41)
& ~ p1(X41) )
| ~ r1(X37,X38) )
& ( sP1(X37)
| ? [X42] :
( r1(X37,X42)
& ~ p1(X42)
& ! [X43] :
( ~ p1(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) ) ) )
& sP3(X37) ) )
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
& ? [X45] :
( ? [X46] :
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(X45,X46) )
& r1(X0,X45) ) )
=> ( ! [X1] :
( ~ r1(sK13,X1)
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
| ! [X7] :
( ~ r1(X5,X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) ) ) )
& ( ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X4,X9) )
| ? [X11] :
( ~ p1(X11)
& r1(X4,X11)
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
| p1(X4) ) ) ) )
| ~ r1(X1,X2) ) )
& ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
| ~ r1(X15,X16) )
& ( ? [X20] :
( ~ p1(X20)
& ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X15,X20) )
| ! [X23] :
( ~ r1(X15,X23)
| ? [X24] :
( ~ p1(X24)
& r1(X23,X24) ) )
| p1(X15) ) ) )
| ~ r1(sK13,X14) )
& ! [X25] :
( ~ r1(sK13,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( p1(X28)
| ~ r1(X27,X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ( ! [X30] :
( ? [X31] :
( ~ p1(X31)
& r1(X30,X31) )
| ~ r1(X25,X30) )
| p1(X25)
| ? [X32] :
( ~ p1(X32)
& r1(X25,X32)
& ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ) ) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ~ r1(X36,X37)
| ( sP2(X37)
& ! [X38] :
( ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) ) )
| ? [X41] :
( r1(X38,X41)
& ~ p1(X41) )
| ~ r1(X37,X38) )
& ( sP1(X37)
| ? [X42] :
( r1(X37,X42)
& ~ p1(X42)
& ! [X43] :
( ~ p1(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) ) ) )
& sP3(X37) ) )
| ~ r1(X35,X36) )
| ~ r1(sK13,X35) )
& ? [X45] :
( ? [X46] :
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(X45,X46) )
& r1(sK13,X45) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
=> ( r1(X5,sK14(X5))
& ~ p1(sK14(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
=> ( ~ p1(sK15(X9))
& r1(X9,sK15(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X4] :
( ? [X11] :
( ~ p1(X11)
& r1(X4,X11)
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
=> ( ~ p1(sK16(X4))
& r1(X4,sK16(X4))
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(sK16(X4),X12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X16] :
( ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
=> ( r1(X16,sK17(X16))
& ~ p1(sK17(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X15] :
( ? [X20] :
( ~ p1(X20)
& ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X15,X20) )
=> ( ~ p1(sK18(X15))
& ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(sK18(X15),X21) )
& r1(X15,sK18(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
=> ( ~ p1(sK19(X23))
& r1(X23,sK19(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X26] :
( ? [X29] :
( r1(X26,X29)
& ~ p1(X29) )
=> ( r1(X26,sK20(X26))
& ~ p1(sK20(X26)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X30] :
( ? [X31] :
( ~ p1(X31)
& r1(X30,X31) )
=> ( ~ p1(sK21(X30))
& r1(X30,sK21(X30)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X25] :
( ? [X32] :
( ~ p1(X32)
& r1(X25,X32)
& ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) )
=> ( ~ p1(sK22(X25))
& r1(X25,sK22(X25))
& ! [X33] :
( ~ r1(sK22(X25),X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X38] :
( ? [X41] :
( r1(X38,X41)
& ~ p1(X41) )
=> ( r1(X38,sK23(X38))
& ~ p1(sK23(X38)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X37] :
( ? [X42] :
( r1(X37,X42)
& ~ p1(X42)
& ! [X43] :
( ~ p1(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) ) )
=> ( r1(X37,sK24(X37))
& ~ p1(sK24(X37))
& ! [X43] :
( ~ p1(X43)
| ~ r1(sK24(X37),X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X45] :
( ? [X46] :
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(X45,X46) )
& r1(sK13,X45) )
=> ( ? [X46] :
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(sK25,X46) )
& r1(sK13,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X46] :
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(sK25,X46) )
=> ( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(sK26,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(sK25,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(sK26,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
=> ( ? [X48] :
( ~ p1(X48)
& r1(sK27,X48) )
& r1(sK26,sK27)
& ! [X49] :
( ~ r1(sK27,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(sK27,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X48] :
( ~ p1(X48)
& r1(sK27,X48) )
=> ( ~ p1(sK28)
& r1(sK27,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X49] :
( ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
=> ( ? [X51] :
( ~ p1(X51)
& r1(sK29(X49),X51) )
& p1(sK29(X49))
& r1(X49,sK29(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X49] :
( ? [X51] :
( ~ p1(X51)
& r1(sK29(X49),X51) )
=> ( ~ p1(sK30(X49))
& r1(sK29(X49),sK30(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X52] :
( r1(sK27,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
=> ( r1(sK27,sK31)
& ! [X53] :
( ~ r1(sK31,X53)
| p1(X53) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
| ! [X7] :
( ~ r1(X5,X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) ) ) )
& ( ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X4,X9) )
| ? [X11] :
( ~ p1(X11)
& r1(X4,X11)
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) )
| ~ r1(X11,X12) ) )
| p1(X4) ) ) ) )
| ~ r1(X1,X2) ) )
& ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
| ~ r1(X15,X16) )
& ( ? [X20] :
( ~ p1(X20)
& ! [X21] :
( ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& r1(X15,X20) )
| ! [X23] :
( ~ r1(X15,X23)
| ? [X24] :
( ~ p1(X24)
& r1(X23,X24) ) )
| p1(X15) ) ) )
| ~ r1(X0,X14) )
& ! [X25] :
( ~ r1(X0,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( p1(X28)
| ~ r1(X27,X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ( ! [X30] :
( ? [X31] :
( ~ p1(X31)
& r1(X30,X31) )
| ~ r1(X25,X30) )
| p1(X25)
| ? [X32] :
( ~ p1(X32)
& r1(X25,X32)
& ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ p1(X33) ) ) ) ) )
& ! [X35] :
( ! [X36] :
( ! [X37] :
( ~ r1(X36,X37)
| ( sP2(X37)
& ! [X38] :
( ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) ) )
| ? [X41] :
( r1(X38,X41)
& ~ p1(X41) )
| ~ r1(X37,X38) )
& ( sP1(X37)
| ? [X42] :
( r1(X37,X42)
& ~ p1(X42)
& ! [X43] :
( ~ p1(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) ) ) )
& sP3(X37) ) )
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
& ? [X45] :
( ? [X46] :
( ? [X47] :
( ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47)
& ! [X49] :
( ~ r1(X47,X49)
| ? [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& p1(X50)
& r1(X49,X50) )
| p1(X49) )
& ? [X52] :
( r1(X47,X52)
& ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) ) )
& r1(X45,X46) )
& r1(X0,X45) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
? [X0] :
( ! [X60] :
( ~ r1(X0,X60)
| ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ( ! [X69] :
( ~ r1(X63,X69)
| ? [X70] :
( r1(X69,X70)
& ~ p1(X70) )
| ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( p1(X72)
| ~ r1(X71,X72) ) ) )
& ( ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ~ r1(X63,X64) )
| ? [X66] :
( ~ p1(X66)
& r1(X63,X66)
& ! [X67] :
( ~ p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p1(X68) )
| ~ r1(X66,X67) ) )
| p1(X63) ) ) ) )
| ~ r1(X60,X61) ) )
& ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| ( ! [X56] :
( ! [X58] :
( ~ r1(X56,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ? [X57] :
( r1(X56,X57)
& ~ p1(X57) )
| ~ r1(X50,X56) )
& ( ? [X53] :
( ~ p1(X53)
& ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
& r1(X50,X53) )
| ! [X51] :
( ~ r1(X50,X51)
| ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| p1(X50) ) ) )
| ~ r1(X0,X49) )
& ! [X39] :
( ~ r1(X0,X39)
| ( ! [X45] :
( ~ r1(X39,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) ) )
| ? [X48] :
( r1(X45,X48)
& ~ p1(X48) ) )
& ( ! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
| ~ r1(X39,X40) )
| p1(X39)
| ? [X42] :
( ~ p1(X42)
& r1(X39,X42)
& ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) )
| ~ p1(X43) ) ) ) ) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ( sP2(X3)
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) ) )
| ? [X24] :
( r1(X21,X24)
& ~ p1(X24) )
| ~ r1(X3,X21) )
& ( sP1(X3)
| ? [X8] :
( r1(X3,X8)
& ~ p1(X8)
& ! [X9] :
( ~ p1(X9)
| ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) ) ) )
& sP3(X3) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ? [X30] :
( ? [X31] :
( ? [X32] :
( ? [X38] :
( ~ p1(X38)
& r1(X32,X38) )
& r1(X31,X32)
& ! [X35] :
( ~ r1(X32,X35)
| ? [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& p1(X36)
& r1(X35,X36) )
| p1(X35) )
& ? [X33] :
( r1(X32,X33)
& ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) ) )
& r1(X30,X31) )
& r1(X0,X30) ) ),
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X3] :
( ? [X12] :
( ! [X13] :
( ! [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X13,X15)
| ~ p1(X15) )
| ~ r1(X12,X13)
| ( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) ) )
& p1(X12)
& r1(X3,X12)
& ? [X17] :
( ~ p1(X17)
& r1(X12,X17) ) )
| ~ sP0(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X3] :
( ! [X4] :
( ! [X5] :
( p1(X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& r1(X5,X6)
& p1(X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ sP1(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X3] :
( ! [X25] :
( ? [X26] :
( r1(X25,X26)
& ~ p1(X26) )
| ~ r1(X3,X25) )
| ? [X27] :
( ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X27,X28)
| ~ p1(X28) )
& ~ p1(X27)
& r1(X3,X27) )
| p1(X3)
| ~ sP2(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X3] :
( ! [X18] :
( ? [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19)
& p1(X19) )
| ~ r1(X3,X18) )
| ~ p1(X3)
| ! [X11] :
( p1(X11)
| ~ r1(X3,X11) )
| sP0(X3)
| ~ sP3(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f6,plain,
? [X0] :
( ! [X60] :
( ~ r1(X0,X60)
| ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ( ! [X69] :
( ~ r1(X63,X69)
| ? [X70] :
( r1(X69,X70)
& ~ p1(X70) )
| ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( p1(X72)
| ~ r1(X71,X72) ) ) )
& ( ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ~ r1(X63,X64) )
| ? [X66] :
( ~ p1(X66)
& r1(X63,X66)
& ! [X67] :
( ~ p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p1(X68) )
| ~ r1(X66,X67) ) )
| p1(X63) ) ) ) )
| ~ r1(X60,X61) ) )
& ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| ( ! [X56] :
( ! [X58] :
( ~ r1(X56,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ? [X57] :
( r1(X56,X57)
& ~ p1(X57) )
| ~ r1(X50,X56) )
& ( ? [X53] :
( ~ p1(X53)
& ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
& r1(X50,X53) )
| ! [X51] :
( ~ r1(X50,X51)
| ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| p1(X50) ) ) )
| ~ r1(X0,X49) )
& ! [X39] :
( ~ r1(X0,X39)
| ( ! [X45] :
( ~ r1(X39,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) ) )
| ? [X48] :
( r1(X45,X48)
& ~ p1(X48) ) )
& ( ! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
| ~ r1(X39,X40) )
| p1(X39)
| ? [X42] :
( ~ p1(X42)
& r1(X39,X42)
& ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) )
| ~ p1(X43) ) ) ) ) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ( ( ! [X25] :
( ? [X26] :
( r1(X25,X26)
& ~ p1(X26) )
| ~ r1(X3,X25) )
| ? [X27] :
( ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X27,X28)
| ~ p1(X28) )
& ~ p1(X27)
& r1(X3,X27) )
| p1(X3) )
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) ) )
| ? [X24] :
( r1(X21,X24)
& ~ p1(X24) )
| ~ r1(X3,X21) )
& ( ! [X4] :
( ! [X5] :
( p1(X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& r1(X5,X6)
& p1(X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ? [X8] :
( r1(X3,X8)
& ~ p1(X8)
& ! [X9] :
( ~ p1(X9)
| ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) ) ) )
& ( ! [X18] :
( ? [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19)
& p1(X19) )
| ~ r1(X3,X18) )
| ~ p1(X3)
| ! [X11] :
( p1(X11)
| ~ r1(X3,X11) )
| ? [X12] :
( ! [X13] :
( ! [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X13,X15)
| ~ p1(X15) )
| ~ r1(X12,X13)
| ( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) ) )
& p1(X12)
& r1(X3,X12)
& ? [X17] :
( ~ p1(X17)
& r1(X12,X17) ) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ? [X30] :
( ? [X31] :
( ? [X32] :
( ? [X38] :
( ~ p1(X38)
& r1(X32,X38) )
& r1(X31,X32)
& ! [X35] :
( ~ r1(X32,X35)
| ? [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& p1(X36)
& r1(X35,X36) )
| p1(X35) )
& ? [X33] :
( r1(X32,X33)
& ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) ) )
& r1(X30,X31) )
& r1(X0,X30) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X60] :
( ~ r1(X0,X60)
| ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ( ! [X69] :
( ~ r1(X63,X69)
| ? [X70] :
( r1(X69,X70)
& ~ p1(X70) )
| ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( p1(X72)
| ~ r1(X71,X72) ) ) )
& ( ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ~ r1(X63,X64) )
| ? [X66] :
( ~ p1(X66)
& r1(X63,X66)
& ! [X67] :
( ~ p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p1(X68) )
| ~ r1(X66,X67) ) )
| p1(X63) ) ) ) )
| ~ r1(X60,X61) ) )
& ! [X39] :
( ~ r1(X0,X39)
| ( ! [X45] :
( ~ r1(X39,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) ) )
| ? [X48] :
( r1(X45,X48)
& ~ p1(X48) ) )
& ( ! [X40] :
( ? [X41] :
( ~ p1(X41)
& r1(X40,X41) )
| ~ r1(X39,X40) )
| p1(X39)
| ? [X42] :
( ~ p1(X42)
& r1(X39,X42)
& ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) )
| ~ p1(X43) ) ) ) ) )
& ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| ( ! [X56] :
( ! [X58] :
( ~ r1(X56,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ? [X57] :
( r1(X56,X57)
& ~ p1(X57) )
| ~ r1(X50,X56) )
& ( ? [X53] :
( ~ p1(X53)
& ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
& r1(X50,X53) )
| ! [X51] :
( ~ r1(X50,X51)
| ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| p1(X50) ) ) )
| ~ r1(X0,X49) )
& ? [X30] :
( ? [X31] :
( ? [X32] :
( ? [X38] :
( ~ p1(X38)
& r1(X32,X38) )
& r1(X31,X32)
& ! [X35] :
( ~ r1(X32,X35)
| ? [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& p1(X36)
& r1(X35,X36) )
| p1(X35) )
& ? [X33] :
( r1(X32,X33)
& ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) ) )
& r1(X30,X31) )
& r1(X0,X30) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ( ( ! [X25] :
( ? [X26] :
( r1(X25,X26)
& ~ p1(X26) )
| ~ r1(X3,X25) )
| ? [X27] :
( ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X27,X28)
| ~ p1(X28) )
& ~ p1(X27)
& r1(X3,X27) )
| p1(X3) )
& ! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) ) )
| ? [X24] :
( r1(X21,X24)
& ~ p1(X24) )
| ~ r1(X3,X21) )
& ( ! [X4] :
( ! [X5] :
( p1(X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& r1(X5,X6)
& p1(X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ? [X8] :
( r1(X3,X8)
& ~ p1(X8)
& ! [X9] :
( ~ p1(X9)
| ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) ) ) )
& ( ! [X18] :
( ? [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19)
& p1(X19) )
| ~ r1(X3,X18) )
| ~ p1(X3)
| ! [X11] :
( p1(X11)
| ~ r1(X3,X11) )
| ? [X12] :
( ! [X13] :
( ! [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X13,X15)
| ~ p1(X15) )
| ~ r1(X12,X13)
| ( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) ) )
& p1(X12)
& r1(X3,X12)
& ? [X17] :
( ~ p1(X17)
& r1(X12,X17) ) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X60] :
( ~ r1(X0,X60)
| ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X69] :
( ~ ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ r1(X63,X69)
| ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( p1(X72)
| ~ r1(X71,X72) ) ) )
& ( ~ ! [X66] :
( p1(X66)
| ~ r1(X63,X66)
| ~ ! [X67] :
( ~ p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p1(X68) )
| ~ r1(X66,X67) ) )
| p1(X63)
| ! [X64] :
( ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X63,X64) ) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) ) )
| ~ ( ! [X39] :
( ( ! [X45] :
( ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) ) )
| ~ r1(X39,X45)
| ~ ! [X48] :
( ~ r1(X45,X48)
| p1(X48) ) )
& ( ~ ! [X42] :
( p1(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) )
| ~ p1(X43) )
| ~ r1(X39,X42) )
| ! [X40] :
( ~ r1(X39,X40)
| ~ ! [X41] :
( p1(X41)
| ~ r1(X40,X41) ) )
| p1(X39) ) )
| ~ r1(X0,X39) )
& ! [X49] :
( ~ r1(X0,X49)
| ! [X50] :
( ( ( ~ ! [X53] :
( ~ r1(X50,X53)
| p1(X53)
| ~ ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) ) )
| p1(X50)
| ! [X51] :
( ~ r1(X50,X51)
| ~ ! [X52] :
( p1(X52)
| ~ r1(X51,X52) ) ) )
& ! [X56] :
( ! [X58] :
( ~ r1(X56,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ~ ! [X57] :
( p1(X57)
| ~ r1(X56,X57) )
| ~ r1(X50,X56) ) )
| ~ r1(X49,X50) ) )
& ~ ! [X30] :
( ~ r1(X0,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ! [X38] :
( ~ r1(X32,X38)
| p1(X38) )
| ! [X33] :
( ~ ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32)
| ~ ! [X35] :
( p1(X35)
| ~ ! [X36] :
( ~ p1(X36)
| ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
| ~ r1(X32,X35) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ ! [X8] :
( ~ ! [X9] :
( ~ p1(X9)
| ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| p1(X8)
| ~ r1(X3,X8) )
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ ! [X6] :
( ! [X7] :
( p1(X7)
| ~ r1(X6,X7) )
| ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5)
| p1(X5) ) ) )
& ! [X21] :
( ~ r1(X3,X21)
| ~ ! [X24] :
( p1(X24)
| ~ r1(X21,X24) )
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) ) ) )
& ( p1(X3)
| ~ ! [X27] :
( ~ ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X27,X28)
| ~ p1(X28) )
| p1(X27)
| ~ r1(X3,X27) )
| ! [X25] :
( ~ ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X3,X25) ) )
& ( ! [X18] :
( ~ ! [X19] :
( ~ p1(X19)
| ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ~ r1(X3,X18) )
| ~ p1(X3)
| ! [X11] :
( p1(X11)
| ~ r1(X3,X11) )
| ~ ! [X12] :
( ~ ! [X13] :
( ~ r1(X12,X13)
| ~ ( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ p1(X13) )
| ! [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X13,X15)
| ~ p1(X15) ) )
| ~ p1(X12)
| ! [X17] :
( ~ r1(X12,X17)
| p1(X17) )
| ~ r1(X3,X12) ) ) ) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X60] :
( ~ r1(X0,X60)
| ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X69] :
( ~ ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ r1(X63,X69)
| ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( p1(X72)
| ~ r1(X71,X72) ) ) )
& ( ~ ! [X66] :
( p1(X66)
| ~ r1(X63,X66)
| ~ ! [X67] :
( ~ p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p1(X68) )
| ~ r1(X66,X67) ) )
| p1(X63)
| ! [X64] :
( ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X63,X64) ) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) ) )
| ~ ( ! [X39] :
( ( ! [X45] :
( ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) ) )
| ~ r1(X39,X45)
| ~ ! [X48] :
( ~ r1(X45,X48)
| p1(X48) ) )
& ( ~ ! [X42] :
( p1(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p1(X44) )
| ~ p1(X43) )
| ~ r1(X39,X42) )
| ! [X40] :
( ~ r1(X39,X40)
| ~ ! [X41] :
( p1(X41)
| ~ r1(X40,X41) ) )
| p1(X39) ) )
| ~ r1(X0,X39) )
& ! [X49] :
( ~ r1(X0,X49)
| ! [X50] :
( ( ( ~ ! [X53] :
( ~ r1(X50,X53)
| p1(X53)
| ~ ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) ) )
| p1(X50)
| ! [X51] :
( ~ r1(X50,X51)
| ~ ! [X52] :
( p1(X52)
| ~ r1(X51,X52) ) ) )
& ! [X56] :
( ! [X58] :
( ~ r1(X56,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ~ ! [X57] :
( p1(X57)
| ~ r1(X56,X57) )
| ~ r1(X50,X56) ) )
| ~ r1(X49,X50) ) )
& ~ ! [X30] :
( ~ r1(X0,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ! [X38] :
( ~ r1(X32,X38)
| p1(X38) )
| ! [X33] :
( ~ ! [X34] :
( ~ r1(X33,X34)
| p1(X34) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32)
| ~ ! [X35] :
( p1(X35)
| ~ ! [X36] :
( ~ p1(X36)
| ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
| ~ r1(X32,X35) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( ( ~ ! [X8] :
( ~ ! [X9] :
( ~ p1(X9)
| ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| p1(X8)
| ~ r1(X3,X8) )
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ ! [X6] :
( ! [X7] :
( p1(X7)
| ~ r1(X6,X7) )
| ~ p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5)
| p1(X5) ) ) )
& ! [X21] :
( ~ r1(X3,X21)
| ~ ! [X24] :
( p1(X24)
| ~ r1(X21,X24) )
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) ) ) )
& ( p1(X3)
| ~ ! [X27] :
( ~ ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X27,X28)
| ~ p1(X28) )
| p1(X27)
| ~ r1(X3,X27) )
| ! [X25] :
( ~ ! [X26] :
( p1(X26)
| ~ r1(X25,X26) )
| ~ r1(X3,X25) ) )
& ( ! [X18] :
( ~ ! [X19] :
( ~ p1(X19)
| ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ~ r1(X3,X18) )
| ~ p1(X3)
| ! [X11] :
( p1(X11)
| ~ r1(X3,X11) )
| ~ ! [X12] :
( ~ ! [X13] :
( ~ r1(X12,X13)
| ~ ( ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ p1(X13) )
| ! [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X13,X15)
| ~ p1(X15) ) )
| ~ p1(X12)
| ! [X17] :
( ~ r1(X12,X17)
| p1(X17) )
| ~ r1(X3,X12) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p1(X0) ) )
& ( ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0)
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| p1(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X0,X1) )
| p1(X0) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
| p1(X1) )
| p1(X0) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p1(X0) ) )
& ( ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0)
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| p1(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p1(X1) )
| ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X0,X1) )
| p1(X0) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
| p1(X1) )
| p1(X0) )
& ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f121,plain,
! [X0] :
( ~ r1(sK26,X0)
| sP2(X0) ),
inference(resolution,[],[f120,f76]) ).
fof(f76,plain,
r1(sK25,sK26),
inference(cnf_transformation,[],[f53]) ).
fof(f120,plain,
! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| sP2(X1) ),
inference(resolution,[],[f92,f75]) ).
fof(f75,plain,
r1(sK13,sK25),
inference(cnf_transformation,[],[f53]) ).
fof(f92,plain,
! [X36,X37,X35] :
( ~ r1(sK13,X35)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| sP2(X37) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1956,plain,
( ! [X0,X1] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ r1(sK29(sK7(sK27)),X0)
| ~ sP2(sK27)
| p1(sK27)
| ~ r1(sK27,X1) )
| ~ spl32_36
| ~ spl32_37 ),
inference(subsumption_resolution,[],[f1855,f350]) ).
fof(f350,plain,
( p1(sK29(sK7(sK27)))
| ~ spl32_36 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f1855,plain,
( ! [X0,X1] :
( p1(X0)
| ~ p1(sK29(sK7(sK27)))
| ~ sP2(sK27)
| ~ r1(sK29(sK7(sK27)),X0)
| r1(X1,sK6(X1))
| ~ r1(sK27,X1)
| p1(sK27) )
| ~ spl32_37 ),
inference(resolution,[],[f355,f63]) ).
fof(f63,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| p1(X5)
| ~ r1(X4,X5)
| r1(X1,sK6(X1))
| ~ sP2(X0)
| p1(X0)
| ~ r1(X0,X1)
| ~ p1(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ( r1(X1,sK6(X1))
& ~ p1(sK6(X1)) )
| ~ r1(X0,X1) )
| ( ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(sK7(X0),X4)
| ~ p1(X4) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) )
| p1(X0)
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f18,f20,f19]) ).
fof(f19,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
=> ( r1(X1,sK6(X1))
& ~ p1(sK6(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(X3,X4)
| ~ p1(X4) )
& ~ p1(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(sK7(X0),X4)
| ~ p1(X4) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
| ~ r1(X0,X1) )
| ? [X3] :
( ! [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ r1(X3,X4)
| ~ p1(X4) )
& ~ p1(X3)
& r1(X0,X3) )
| p1(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X3] :
( ! [X25] :
( ? [X26] :
( r1(X25,X26)
& ~ p1(X26) )
| ~ r1(X3,X25) )
| ? [X27] :
( ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p1(X29) )
| ~ r1(X27,X28)
| ~ p1(X28) )
& ~ p1(X27)
& r1(X3,X27) )
| p1(X3)
| ~ sP2(X3) ),
inference(nnf_transformation,[],[f9]) ).
fof(f355,plain,
( r1(sK7(sK27),sK29(sK7(sK27)))
| ~ spl32_37 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f1955,plain,
( spl32_5
| spl32_3
| ~ spl32_35 ),
inference(avatar_split_clause,[],[f1954,f344,f141,f149]) ).
fof(f344,plain,
( spl32_35
<=> p1(sK7(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f1954,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK27,X0) )
| spl32_3
| ~ spl32_35 ),
inference(subsumption_resolution,[],[f1953,f142]) ).
fof(f1953,plain,
( ! [X0] :
( p1(sK27)
| r1(X0,sK6(X0))
| ~ r1(sK27,X0) )
| ~ spl32_35 ),
inference(subsumption_resolution,[],[f1951,f122]) ).
fof(f1951,plain,
( ! [X0] :
( ~ sP2(sK27)
| ~ r1(sK27,X0)
| p1(sK27)
| r1(X0,sK6(X0)) )
| ~ spl32_35 ),
inference(resolution,[],[f346,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ sP2(X0)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f346,plain,
( p1(sK7(sK27))
| ~ spl32_35 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f1945,plain,
( ~ spl32_4
| spl32_35
| ~ spl32_238 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1944,plain,
( $false
| ~ spl32_4
| spl32_35
| ~ spl32_238 ),
inference(subsumption_resolution,[],[f1943,f345]) ).
fof(f345,plain,
( ~ p1(sK7(sK27))
| spl32_35 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f1943,plain,
( p1(sK7(sK27))
| ~ spl32_4
| ~ spl32_238 ),
inference(subsumption_resolution,[],[f1942,f147]) ).
fof(f147,plain,
( r1(sK27,sK7(sK27))
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl32_4
<=> r1(sK27,sK7(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f1942,plain,
( ~ r1(sK27,sK7(sK27))
| p1(sK7(sK27))
| ~ spl32_238 ),
inference(resolution,[],[f1933,f82]) ).
fof(f82,plain,
! [X49] :
( ~ p1(sK30(X49))
| ~ r1(sK27,X49)
| p1(X49) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1933,plain,
( p1(sK30(sK7(sK27)))
| ~ spl32_238 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1931,plain,
( spl32_238
<=> p1(sK30(sK7(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).
fof(f1939,plain,
( spl32_230
| spl32_3
| ~ spl32_35 ),
inference(avatar_split_clause,[],[f1938,f344,f141,f1864]) ).
fof(f1864,plain,
( spl32_230
<=> ! [X3] :
( ~ r1(sK27,X3)
| ~ p1(sK6(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_230])]) ).
fof(f1938,plain,
( ! [X1] :
( ~ r1(sK27,X1)
| ~ p1(sK6(X1)) )
| spl32_3
| ~ spl32_35 ),
inference(subsumption_resolution,[],[f1937,f142]) ).
fof(f1937,plain,
( ! [X1] :
( p1(sK27)
| ~ p1(sK6(X1))
| ~ r1(sK27,X1) )
| ~ spl32_35 ),
inference(subsumption_resolution,[],[f1936,f122]) ).
fof(f1936,plain,
( ! [X1] :
( ~ sP2(sK27)
| p1(sK27)
| ~ p1(sK6(X1))
| ~ r1(sK27,X1) )
| ~ spl32_35 ),
inference(resolution,[],[f346,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| p1(X0)
| ~ sP2(X0)
| ~ r1(X0,X1)
| ~ p1(sK6(X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f1934,plain,
( spl32_238
| spl32_35
| ~ spl32_4
| ~ spl32_229 ),
inference(avatar_split_clause,[],[f1929,f1861,f145,f344,f1931]) ).
fof(f1929,plain,
( p1(sK7(sK27))
| p1(sK30(sK7(sK27)))
| ~ spl32_4
| ~ spl32_229 ),
inference(subsumption_resolution,[],[f1928,f147]) ).
fof(f1928,plain,
( ~ r1(sK27,sK7(sK27))
| p1(sK7(sK27))
| p1(sK30(sK7(sK27)))
| ~ spl32_229 ),
inference(resolution,[],[f1862,f81]) ).
fof(f81,plain,
! [X49] :
( r1(sK29(X49),sK30(X49))
| ~ r1(sK27,X49)
| p1(X49) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1862,plain,
( ! [X2] :
( ~ r1(sK29(sK7(sK27)),X2)
| p1(X2) )
| ~ spl32_229 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f1884,plain,
( ~ spl32_5
| ~ spl32_230 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1883,plain,
( $false
| ~ spl32_5
| ~ spl32_230 ),
inference(subsumption_resolution,[],[f1880,f78]) ).
fof(f78,plain,
r1(sK27,sK31),
inference(cnf_transformation,[],[f53]) ).
fof(f1880,plain,
( ~ r1(sK27,sK31)
| ~ spl32_5
| ~ spl32_230 ),
inference(resolution,[],[f1865,f360]) ).
fof(f360,plain,
( p1(sK6(sK31))
| ~ spl32_5 ),
inference(resolution,[],[f358,f77]) ).
fof(f77,plain,
! [X53] :
( ~ r1(sK31,X53)
| p1(X53) ),
inference(cnf_transformation,[],[f53]) ).
fof(f358,plain,
( r1(sK31,sK6(sK31))
| ~ spl32_5 ),
inference(resolution,[],[f150,f78]) ).
fof(f150,plain,
( ! [X0] :
( ~ r1(sK27,X0)
| r1(X0,sK6(X0)) )
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f1865,plain,
( ! [X3] :
( ~ p1(sK6(X3))
| ~ r1(sK27,X3) )
| ~ spl32_230 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1866,plain,
( spl32_229
| spl32_230
| spl32_3
| ~ spl32_36
| ~ spl32_37 ),
inference(avatar_split_clause,[],[f1859,f353,f348,f141,f1864,f1861]) ).
fof(f1859,plain,
( ! [X2,X3] :
( ~ r1(sK27,X3)
| ~ r1(sK29(sK7(sK27)),X2)
| ~ p1(sK6(X3))
| p1(X2) )
| spl32_3
| ~ spl32_36
| ~ spl32_37 ),
inference(subsumption_resolution,[],[f1858,f350]) ).
fof(f1858,plain,
( ! [X2,X3] :
( p1(X2)
| ~ r1(sK29(sK7(sK27)),X2)
| ~ p1(sK29(sK7(sK27)))
| ~ p1(sK6(X3))
| ~ r1(sK27,X3) )
| spl32_3
| ~ spl32_37 ),
inference(subsumption_resolution,[],[f1857,f122]) ).
fof(f1857,plain,
( ! [X2,X3] :
( ~ sP2(sK27)
| ~ p1(sK29(sK7(sK27)))
| p1(X2)
| ~ p1(sK6(X3))
| ~ r1(sK29(sK7(sK27)),X2)
| ~ r1(sK27,X3) )
| spl32_3
| ~ spl32_37 ),
inference(subsumption_resolution,[],[f1856,f142]) ).
fof(f1856,plain,
( ! [X2,X3] :
( ~ p1(sK6(X3))
| p1(sK27)
| ~ r1(sK27,X3)
| ~ r1(sK29(sK7(sK27)),X2)
| p1(X2)
| ~ sP2(sK27)
| ~ p1(sK29(sK7(sK27))) )
| ~ spl32_37 ),
inference(resolution,[],[f355,f60]) ).
fof(f60,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| ~ p1(X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f1827,plain,
( spl32_13
| ~ spl32_3
| spl32_11
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f1826,f603,f390,f316,f193,f141,f200]) ).
fof(f200,plain,
( spl32_13
<=> ! [X1] :
( ~ r1(sK27,X1)
| p1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f193,plain,
( spl32_11
<=> sP0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f316,plain,
( spl32_32
<=> ! [X0] :
( r1(X0,sK4(X0))
| ~ r1(sK27,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f390,plain,
( spl32_38
<=> ! [X0] :
( ~ r1(sK27,X0)
| r1(sK4(X0),sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
fof(f603,plain,
( spl32_72
<=> ! [X6,X7] :
( ~ r1(sK31,X7)
| ~ r1(X7,X6)
| p1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
fof(f1826,plain,
( ! [X0] :
( ~ p1(sK27)
| p1(X0)
| ~ r1(sK27,X0) )
| spl32_11
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(subsumption_resolution,[],[f1825,f119]) ).
fof(f119,plain,
sP3(sK27),
inference(resolution,[],[f118,f83]) ).
fof(f118,plain,
! [X0] :
( ~ r1(sK26,X0)
| sP3(X0) ),
inference(resolution,[],[f117,f76]) ).
fof(f117,plain,
! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| sP3(X1) ),
inference(resolution,[],[f86,f75]) ).
fof(f86,plain,
! [X36,X37,X35] :
( ~ r1(sK13,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| sP3(X37) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1825,plain,
( ! [X0] :
( ~ r1(sK27,X0)
| ~ sP3(sK27)
| p1(X0)
| ~ p1(sK27) )
| spl32_11
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(subsumption_resolution,[],[f1820,f194]) ).
fof(f194,plain,
( ~ sP0(sK27)
| spl32_11 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f1820,plain,
( ! [X0] :
( p1(X0)
| sP0(sK27)
| ~ p1(sK27)
| ~ r1(sK27,X0)
| ~ sP3(sK27) )
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(resolution,[],[f1777,f78]) ).
fof(f1777,plain,
( ! [X0,X1] :
( ~ r1(X0,sK31)
| ~ r1(X0,X1)
| p1(X1)
| ~ p1(X0)
| ~ sP3(X0)
| sP0(X0) )
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(resolution,[],[f1776,f57]) ).
fof(f57,plain,
! [X0,X1,X4] :
( ~ p1(sK5(X1))
| ~ r1(X0,X4)
| ~ sP3(X0)
| ~ r1(X0,X1)
| ~ p1(X0)
| sP0(X0)
| p1(X4) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ( ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1))
& r1(X1,sK4(X1))
& p1(sK4(X1)) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| sP0(X0)
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f13,f15,f14]) ).
fof(f14,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2)
& p1(X2) )
=> ( ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
& r1(X1,sK4(X1))
& p1(sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
=> ( ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2)
& p1(X2) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| sP0(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X3] :
( ! [X18] :
( ? [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19)
& p1(X19) )
| ~ r1(X3,X18) )
| ~ p1(X3)
| ! [X11] :
( p1(X11)
| ~ r1(X3,X11) )
| sP0(X3)
| ~ sP3(X3) ),
inference(nnf_transformation,[],[f10]) ).
fof(f1776,plain,
( p1(sK5(sK31))
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(subsumption_resolution,[],[f1775,f78]) ).
fof(f1775,plain,
( ~ r1(sK27,sK31)
| p1(sK5(sK31))
| ~ spl32_32
| ~ spl32_38
| ~ spl32_72 ),
inference(resolution,[],[f1742,f391]) ).
fof(f391,plain,
( ! [X0] :
( r1(sK4(X0),sK5(X0))
| ~ r1(sK27,X0) )
| ~ spl32_38 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f1742,plain,
( ! [X0] :
( ~ r1(sK4(sK31),X0)
| p1(X0) )
| ~ spl32_32
| ~ spl32_72 ),
inference(resolution,[],[f1737,f604]) ).
fof(f604,plain,
( ! [X6,X7] :
( ~ r1(sK31,X7)
| ~ r1(X7,X6)
| p1(X6) )
| ~ spl32_72 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f1737,plain,
( r1(sK31,sK4(sK31))
| ~ spl32_32 ),
inference(resolution,[],[f317,f78]) ).
fof(f317,plain,
( ! [X0] :
( ~ r1(sK27,X0)
| r1(X0,sK4(X0)) )
| ~ spl32_32 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f1732,plain,
( ~ spl32_11
| ~ spl32_34 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| ~ spl32_11
| ~ spl32_34 ),
inference(subsumption_resolution,[],[f1730,f195]) ).
fof(f195,plain,
( sP0(sK27)
| ~ spl32_11 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f1730,plain,
( ~ sP0(sK27)
| ~ spl32_34 ),
inference(resolution,[],[f335,f69]) ).
fof(f69,plain,
! [X0] :
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X2,X3)
| ~ p1(X3) )
| ~ r1(sK10(X0),X2)
| ( p1(X2)
& ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) )
& p1(sK10(X0))
& r1(X0,sK10(X0))
& ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f28,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X2,X3)
| ~ p1(X3) )
| ~ r1(X1,X2)
| ( p1(X2)
& ? [X5] :
( ~ p1(X5)
& r1(X2,X5) ) ) )
& p1(X1)
& r1(X0,X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) ) )
=> ( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X2,X3)
| ~ p1(X3) )
| ~ r1(sK10(X0),X2)
| ( p1(X2)
& ? [X5] :
( ~ p1(X5)
& r1(X2,X5) ) ) )
& p1(sK10(X0))
& r1(X0,sK10(X0))
& ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X2] :
( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
=> ( ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
=> ( ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X2,X3)
| ~ p1(X3) )
| ~ r1(X1,X2)
| ( p1(X2)
& ? [X5] :
( ~ p1(X5)
& r1(X2,X5) ) ) )
& p1(X1)
& r1(X0,X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X3] :
( ? [X12] :
( ! [X13] :
( ! [X15] :
( ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ r1(X13,X15)
| ~ p1(X15) )
| ~ r1(X12,X13)
| ( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) ) )
& p1(X12)
& r1(X3,X12)
& ? [X17] :
( ~ p1(X17)
& r1(X12,X17) ) )
| ~ sP0(X3) ),
inference(nnf_transformation,[],[f7]) ).
fof(f335,plain,
( p1(sK12(sK27))
| ~ spl32_34 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl32_34
<=> p1(sK12(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f1729,plain,
( ~ spl32_6
| ~ spl32_11
| ~ spl32_217 ),
inference(avatar_contradiction_clause,[],[f1728]) ).
fof(f1728,plain,
( $false
| ~ spl32_6
| ~ spl32_11
| ~ spl32_217 ),
inference(subsumption_resolution,[],[f1727,f195]) ).
fof(f1727,plain,
( ~ sP0(sK27)
| ~ spl32_6
| ~ spl32_11
| ~ spl32_217 ),
inference(subsumption_resolution,[],[f1726,f1397]) ).
fof(f1397,plain,
( r1(sK27,sK10(sK27))
| ~ spl32_11 ),
inference(resolution,[],[f195,f70]) ).
fof(f70,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1726,plain,
( ~ r1(sK27,sK10(sK27))
| ~ sP0(sK27)
| ~ spl32_6
| ~ spl32_217 ),
inference(resolution,[],[f1725,f68]) ).
fof(f68,plain,
! [X0] :
( r1(sK10(X0),sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1725,plain,
( ! [X0] :
( ~ r1(X0,sK12(sK27))
| ~ r1(sK27,X0) )
| ~ spl32_6
| ~ spl32_217 ),
inference(resolution,[],[f1695,f157]) ).
fof(f157,plain,
( sP1(sK27)
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl32_6
<=> sP1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f1695,plain,
( ! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK12(sK27))
| ~ r1(X0,X1) )
| ~ spl32_217 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1694,plain,
( spl32_217
<=> ! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK12(sK27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_217])]) ).
fof(f1696,plain,
( spl32_34
| spl32_217
| ~ spl32_199 ),
inference(avatar_split_clause,[],[f1692,f1572,f1694,f333]) ).
fof(f1572,plain,
( spl32_199
<=> p1(sK9(sK12(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_199])]) ).
fof(f1692,plain,
( ! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK12(sK27))
| ~ r1(X0,X1)
| p1(sK12(sK27)) )
| ~ spl32_199 ),
inference(resolution,[],[f1574,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ p1(sK9(X2))
| ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p1(X2)
| ( r1(sK8(X2),sK9(X2))
& ~ p1(sK9(X2))
& r1(X2,sK8(X2))
& p1(sK8(X2)) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f23,f25,f24]) ).
fof(f24,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& r1(X2,X3)
& p1(X3) )
=> ( ? [X4] :
( r1(sK8(X2),X4)
& ~ p1(X4) )
& r1(X2,sK8(X2))
& p1(sK8(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X2] :
( ? [X4] :
( r1(sK8(X2),X4)
& ~ p1(X4) )
=> ( r1(sK8(X2),sK9(X2))
& ~ p1(sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p1(X2)
| ? [X3] :
( ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& r1(X2,X3)
& p1(X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X3] :
( ! [X4] :
( ! [X5] :
( p1(X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p1(X7) )
& r1(X5,X6)
& p1(X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ sP1(X3) ),
inference(nnf_transformation,[],[f8]) ).
fof(f1574,plain,
( p1(sK9(sK12(sK27)))
| ~ spl32_199 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1674,plain,
( spl32_199
| ~ spl32_33
| ~ spl32_172
| ~ spl32_196
| ~ spl32_213 ),
inference(avatar_split_clause,[],[f1673,f1669,f1553,f1352,f329,f1572]) ).
fof(f329,plain,
( spl32_33
<=> p1(sK8(sK12(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f1352,plain,
( spl32_172
<=> r1(sK12(sK27),sK8(sK12(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_172])]) ).
fof(f1553,plain,
( spl32_196
<=> ! [X0,X1] :
( p1(X1)
| ~ p1(X0)
| ~ r1(sK12(sK27),X0)
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).
fof(f1669,plain,
( spl32_213
<=> r1(sK8(sK12(sK27)),sK9(sK12(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_213])]) ).
fof(f1673,plain,
( p1(sK9(sK12(sK27)))
| ~ spl32_33
| ~ spl32_172
| ~ spl32_196
| ~ spl32_213 ),
inference(resolution,[],[f1671,f1561]) ).
fof(f1561,plain,
( ! [X0] :
( ~ r1(sK8(sK12(sK27)),X0)
| p1(X0) )
| ~ spl32_33
| ~ spl32_172
| ~ spl32_196 ),
inference(subsumption_resolution,[],[f1560,f331]) ).
fof(f331,plain,
( p1(sK8(sK12(sK27)))
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f1560,plain,
( ! [X0] :
( ~ r1(sK8(sK12(sK27)),X0)
| p1(X0)
| ~ p1(sK8(sK12(sK27))) )
| ~ spl32_172
| ~ spl32_196 ),
inference(resolution,[],[f1554,f1354]) ).
fof(f1354,plain,
( r1(sK12(sK27),sK8(sK12(sK27)))
| ~ spl32_172 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1554,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK27),X0)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl32_196 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f1671,plain,
( r1(sK8(sK12(sK27)),sK9(sK12(sK27)))
| ~ spl32_213 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1672,plain,
( spl32_34
| spl32_213
| ~ spl32_6
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f1667,f193,f155,f1669,f333]) ).
fof(f1667,plain,
( r1(sK8(sK12(sK27)),sK9(sK12(sK27)))
| p1(sK12(sK27))
| ~ spl32_6
| ~ spl32_11 ),
inference(subsumption_resolution,[],[f1663,f195]) ).
fof(f1663,plain,
( p1(sK12(sK27))
| r1(sK8(sK12(sK27)),sK9(sK12(sK27)))
| ~ sP0(sK27)
| ~ spl32_6
| ~ spl32_11 ),
inference(resolution,[],[f1403,f68]) ).
fof(f1403,plain,
( ! [X2] :
( ~ r1(sK10(sK27),X2)
| p1(X2)
| r1(sK8(X2),sK9(X2)) )
| ~ spl32_6
| ~ spl32_11 ),
inference(resolution,[],[f1397,f788]) ).
fof(f788,plain,
( ! [X0,X1] :
( ~ r1(sK27,X0)
| r1(sK8(X1),sK9(X1))
| ~ r1(X0,X1)
| p1(X1) )
| ~ spl32_6 ),
inference(resolution,[],[f157,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK8(X2),sK9(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f1555,plain,
( spl32_34
| spl32_196
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f1551,f193,f1553,f333]) ).
fof(f1551,plain,
( ! [X0,X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ r1(sK12(sK27),X0)
| ~ p1(X0)
| p1(sK12(sK27)) )
| ~ spl32_11 ),
inference(subsumption_resolution,[],[f1547,f195]) ).
fof(f1547,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK27),X0)
| ~ sP0(sK27)
| p1(sK12(sK27))
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1) )
| ~ spl32_11 ),
inference(resolution,[],[f1396,f68]) ).
fof(f1396,plain,
( ! [X3,X4,X5] :
( ~ r1(sK10(sK27),X4)
| p1(X4)
| ~ p1(X5)
| ~ r1(X4,X5)
| ~ r1(X5,X3)
| p1(X3) )
| ~ spl32_11 ),
inference(resolution,[],[f195,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X4] :
( ~ sP0(X0)
| p1(X4)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p1(X2)
| ~ p1(X3)
| ~ r1(sK10(X0),X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1355,plain,
( spl32_34
| spl32_172
| ~ spl32_6
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f1350,f193,f155,f1352,f333]) ).
fof(f1350,plain,
( r1(sK12(sK27),sK8(sK12(sK27)))
| p1(sK12(sK27))
| ~ spl32_6
| ~ spl32_11 ),
inference(subsumption_resolution,[],[f1347,f195]) ).
fof(f1347,plain,
( p1(sK12(sK27))
| ~ sP0(sK27)
| r1(sK12(sK27),sK8(sK12(sK27)))
| ~ spl32_6
| ~ spl32_11 ),
inference(resolution,[],[f1200,f68]) ).
fof(f1200,plain,
( ! [X3] :
( ~ r1(sK10(sK27),X3)
| p1(X3)
| r1(X3,sK8(X3)) )
| ~ spl32_6
| ~ spl32_11 ),
inference(resolution,[],[f1193,f789]) ).
fof(f789,plain,
( ! [X2,X3] :
( ~ r1(sK27,X2)
| p1(X3)
| ~ r1(X2,X3)
| r1(X3,sK8(X3)) )
| ~ spl32_6 ),
inference(resolution,[],[f157,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| r1(X2,sK8(X2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f1193,plain,
( r1(sK27,sK10(sK27))
| ~ spl32_11 ),
inference(resolution,[],[f195,f70]) ).
fof(f1243,plain,
~ spl32_155,
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| ~ spl32_155 ),
inference(subsumption_resolution,[],[f1241,f83]) ).
fof(f1241,plain,
( ~ r1(sK26,sK27)
| ~ spl32_155 ),
inference(resolution,[],[f1240,f78]) ).
fof(f1240,plain,
( ! [X0] :
( ~ r1(X0,sK31)
| ~ r1(sK26,X0) )
| ~ spl32_155 ),
inference(resolution,[],[f1239,f76]) ).
fof(f1239,plain,
( ! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK31) )
| ~ spl32_155 ),
inference(resolution,[],[f1237,f75]) ).
fof(f1237,plain,
( ! [X2,X3,X4] :
( ~ r1(sK13,X2)
| ~ r1(X2,X3)
| ~ r1(X4,sK31)
| ~ r1(X3,X4) )
| ~ spl32_155 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl32_155
<=> ! [X4,X2,X3] :
( ~ r1(X3,X4)
| ~ r1(X4,sK31)
| ~ r1(sK13,X2)
| ~ r1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_155])]) ).
fof(f1238,plain,
( spl32_72
| spl32_155
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f1234,f606,f1236,f603]) ).
fof(f606,plain,
( spl32_73
<=> r1(sK31,sK23(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
fof(f1234,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(sK13,X2)
| ~ r1(sK31,X0)
| p1(X1)
| ~ r1(X4,sK31)
| ~ r1(X0,X1) )
| ~ spl32_73 ),
inference(resolution,[],[f1225,f90]) ).
fof(f90,plain,
! [X40,X38,X39,X36,X37,X35] :
( ~ p1(sK23(X38))
| ~ r1(X39,X40)
| ~ r1(sK13,X35)
| ~ r1(X35,X36)
| ~ r1(X38,X39)
| ~ r1(X36,X37)
| p1(X40)
| ~ r1(X37,X38) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1225,plain,
( p1(sK23(sK31))
| ~ spl32_73 ),
inference(resolution,[],[f608,f77]) ).
fof(f608,plain,
( r1(sK31,sK23(sK31))
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1190,plain,
( spl32_13
| spl32_11
| spl32_32
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f376,f141,f316,f193,f200]) ).
fof(f376,plain,
( ! [X0,X1] :
( ~ r1(sK27,X0)
| r1(X0,sK4(X0))
| sP0(sK27)
| ~ r1(sK27,X1)
| p1(X1) )
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f311,f143]) ).
fof(f143,plain,
( p1(sK27)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f311,plain,
! [X0,X1] :
( sP0(sK27)
| p1(X1)
| ~ r1(sK27,X1)
| ~ r1(sK27,X0)
| r1(X0,sK4(X0))
| ~ p1(sK27) ),
inference(resolution,[],[f55,f119]) ).
fof(f55,plain,
! [X0,X1,X4] :
( ~ sP3(X0)
| ~ p1(X0)
| r1(X1,sK4(X1))
| ~ r1(X0,X4)
| p1(X4)
| sP0(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f787,plain,
( spl32_6
| ~ spl32_7
| ~ spl32_84
| spl32_85
| ~ spl32_88 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| spl32_6
| ~ spl32_7
| ~ spl32_84
| spl32_85
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f785,f724]) ).
fof(f724,plain,
( ~ p1(sK24(sK27))
| spl32_85 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f723,plain,
( spl32_85
<=> p1(sK24(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
fof(f785,plain,
( p1(sK24(sK27))
| spl32_6
| ~ spl32_7
| ~ spl32_84
| spl32_85
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f784,f161]) ).
fof(f161,plain,
( r1(sK27,sK24(sK27))
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl32_7
<=> r1(sK27,sK24(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f784,plain,
( ~ r1(sK27,sK24(sK27))
| p1(sK24(sK27))
| spl32_6
| ~ spl32_7
| ~ spl32_84
| spl32_85
| ~ spl32_88 ),
inference(resolution,[],[f782,f82]) ).
fof(f782,plain,
( p1(sK30(sK24(sK27)))
| spl32_6
| ~ spl32_7
| ~ spl32_84
| spl32_85
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f781,f724]) ).
fof(f781,plain,
( p1(sK30(sK24(sK27)))
| p1(sK24(sK27))
| spl32_6
| ~ spl32_7
| ~ spl32_84
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f780,f161]) ).
fof(f780,plain,
( p1(sK30(sK24(sK27)))
| ~ r1(sK27,sK24(sK27))
| p1(sK24(sK27))
| spl32_6
| ~ spl32_84
| ~ spl32_88 ),
inference(resolution,[],[f779,f81]) ).
fof(f779,plain,
( ! [X1] :
( ~ r1(sK29(sK24(sK27)),X1)
| p1(X1) )
| spl32_6
| ~ spl32_84
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f778,f83]) ).
fof(f778,plain,
( ! [X1] :
( p1(X1)
| ~ r1(sK26,sK27)
| ~ r1(sK29(sK24(sK27)),X1) )
| spl32_6
| ~ spl32_84
| ~ spl32_88 ),
inference(subsumption_resolution,[],[f777,f738]) ).
fof(f738,plain,
( p1(sK29(sK24(sK27)))
| ~ spl32_88 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl32_88
<=> p1(sK29(sK24(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).
fof(f777,plain,
( ! [X1] :
( ~ p1(sK29(sK24(sK27)))
| ~ r1(sK26,sK27)
| ~ r1(sK29(sK24(sK27)),X1)
| p1(X1) )
| spl32_6
| ~ spl32_84 ),
inference(subsumption_resolution,[],[f776,f156]) ).
fof(f156,plain,
( ~ sP1(sK27)
| spl32_6 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f776,plain,
( ! [X1] :
( ~ p1(sK29(sK24(sK27)))
| p1(X1)
| ~ r1(sK29(sK24(sK27)),X1)
| ~ r1(sK26,sK27)
| sP1(sK27) )
| ~ spl32_84 ),
inference(resolution,[],[f721,f573]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ r1(sK24(X2),X0)
| ~ r1(sK26,X2)
| p1(X1)
| ~ r1(X0,X1)
| sP1(X2)
| ~ p1(X0) ),
inference(resolution,[],[f536,f76]) ).
fof(f536,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK25,X2)
| ~ p1(X0)
| p1(X3)
| ~ r1(sK24(X1),X0)
| ~ r1(X0,X3)
| sP1(X1)
| ~ r1(X2,X1) ),
inference(resolution,[],[f87,f75]) ).
fof(f87,plain,
! [X36,X37,X44,X35,X43] :
( ~ r1(sK13,X35)
| ~ p1(X43)
| ~ r1(sK24(X37),X43)
| ~ r1(X36,X37)
| ~ r1(X43,X44)
| p1(X44)
| sP1(X37)
| ~ r1(X35,X36) ),
inference(cnf_transformation,[],[f53]) ).
fof(f721,plain,
( r1(sK24(sK27),sK29(sK24(sK27)))
| ~ spl32_84 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f719,plain,
( spl32_84
<=> r1(sK24(sK27),sK29(sK24(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
fof(f770,plain,
( spl32_6
| ~ spl32_85 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| spl32_6
| ~ spl32_85 ),
inference(subsumption_resolution,[],[f768,f83]) ).
fof(f768,plain,
( ~ r1(sK26,sK27)
| spl32_6
| ~ spl32_85 ),
inference(resolution,[],[f767,f76]) ).
fof(f767,plain,
( ! [X0] :
( ~ r1(sK25,X0)
| ~ r1(X0,sK27) )
| spl32_6
| ~ spl32_85 ),
inference(resolution,[],[f741,f75]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ r1(sK13,X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK27) )
| spl32_6
| ~ spl32_85 ),
inference(subsumption_resolution,[],[f740,f156]) ).
fof(f740,plain,
( ! [X0,X1] :
( sP1(sK27)
| ~ r1(X1,X0)
| ~ r1(sK13,X1)
| ~ r1(X0,sK27) )
| ~ spl32_85 ),
inference(resolution,[],[f725,f88]) ).
fof(f88,plain,
! [X36,X37,X35] :
( ~ p1(sK24(X37))
| sP1(X37)
| ~ r1(X36,X37)
| ~ r1(sK13,X35)
| ~ r1(X35,X36) ),
inference(cnf_transformation,[],[f53]) ).
fof(f725,plain,
( p1(sK24(sK27))
| ~ spl32_85 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f739,plain,
( spl32_85
| spl32_88
| ~ spl32_7 ),
inference(avatar_split_clause,[],[f713,f159,f736,f723]) ).
fof(f713,plain,
( p1(sK29(sK24(sK27)))
| p1(sK24(sK27))
| ~ spl32_7 ),
inference(resolution,[],[f161,f80]) ).
fof(f80,plain,
! [X49] :
( ~ r1(sK27,X49)
| p1(X49)
| p1(sK29(X49)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f726,plain,
( spl32_84
| spl32_85
| ~ spl32_7 ),
inference(avatar_split_clause,[],[f712,f159,f723,f719]) ).
fof(f712,plain,
( p1(sK24(sK27))
| r1(sK24(sK27),sK29(sK24(sK27)))
| ~ spl32_7 ),
inference(resolution,[],[f161,f79]) ).
fof(f79,plain,
! [X49] :
( ~ r1(sK27,X49)
| r1(X49,sK29(X49))
| p1(X49) ),
inference(cnf_transformation,[],[f53]) ).
fof(f609,plain,
( spl32_72
| spl32_73 ),
inference(avatar_split_clause,[],[f585,f606,f603]) ).
fof(f585,plain,
! [X6,X7] :
( r1(sK31,sK23(sK31))
| ~ r1(sK31,X7)
| p1(X6)
| ~ r1(X7,X6) ),
inference(resolution,[],[f579,f78]) ).
fof(f579,plain,
! [X2,X0,X1] :
( ~ r1(sK27,X2)
| p1(X1)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| r1(X2,sK23(X2)) ),
inference(resolution,[],[f574,f83]) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK26,X3)
| ~ r1(X2,X0)
| p1(X0)
| ~ r1(X1,X2)
| r1(X1,sK23(X1))
| ~ r1(X3,X1) ),
inference(resolution,[],[f550,f76]) ).
fof(f550,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK25,X4)
| p1(X1)
| ~ r1(X2,X0)
| ~ r1(X4,X3)
| r1(X2,sK23(X2))
| ~ r1(X0,X1)
| ~ r1(X3,X2) ),
inference(resolution,[],[f91,f75]) ).
fof(f91,plain,
! [X40,X38,X39,X36,X37,X35] :
( ~ r1(sK13,X35)
| ~ r1(X39,X40)
| r1(X38,sK23(X38))
| p1(X40)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| ~ r1(X36,X37)
| ~ r1(X35,X36) ),
inference(cnf_transformation,[],[f53]) ).
fof(f392,plain,
( spl32_38
| spl32_13
| ~ spl32_3
| spl32_11 ),
inference(avatar_split_clause,[],[f388,f193,f141,f200,f390]) ).
fof(f388,plain,
( ! [X0,X1] :
( p1(X1)
| ~ r1(sK27,X0)
| ~ r1(sK27,X1)
| r1(sK4(X0),sK5(X0)) )
| ~ spl32_3
| spl32_11 ),
inference(subsumption_resolution,[],[f387,f143]) ).
fof(f387,plain,
( ! [X0,X1] :
( p1(X1)
| ~ r1(sK27,X1)
| ~ r1(sK27,X0)
| ~ p1(sK27)
| r1(sK4(X0),sK5(X0)) )
| spl32_11 ),
inference(subsumption_resolution,[],[f385,f194]) ).
fof(f385,plain,
! [X0,X1] :
( sP0(sK27)
| r1(sK4(X0),sK5(X0))
| p1(X1)
| ~ r1(sK27,X1)
| ~ p1(sK27)
| ~ r1(sK27,X0) ),
inference(resolution,[],[f56,f119]) ).
fof(f56,plain,
! [X0,X1,X4] :
( ~ sP3(X0)
| r1(sK4(X1),sK5(X1))
| ~ r1(X0,X4)
| p1(X4)
| ~ p1(X0)
| ~ r1(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f375,plain,
( spl32_3
| spl32_4
| ~ spl32_5 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| spl32_3
| spl32_4
| ~ spl32_5 ),
inference(subsumption_resolution,[],[f373,f146]) ).
fof(f146,plain,
( ~ r1(sK27,sK7(sK27))
| spl32_4 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f373,plain,
( r1(sK27,sK7(sK27))
| spl32_3
| ~ spl32_5 ),
inference(subsumption_resolution,[],[f372,f122]) ).
fof(f372,plain,
( ~ sP2(sK27)
| r1(sK27,sK7(sK27))
| spl32_3
| ~ spl32_5 ),
inference(subsumption_resolution,[],[f371,f142]) ).
fof(f371,plain,
( ~ sP2(sK27)
| p1(sK27)
| r1(sK27,sK7(sK27))
| ~ spl32_5 ),
inference(resolution,[],[f361,f78]) ).
fof(f361,plain,
( ! [X0] :
( ~ r1(X0,sK31)
| ~ sP2(X0)
| r1(X0,sK7(X0))
| p1(X0) )
| ~ spl32_5 ),
inference(resolution,[],[f360,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| r1(X0,sK7(X0))
| ~ r1(X0,X1)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f356,plain,
( spl32_37
| spl32_35
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f337,f145,f344,f353]) ).
fof(f337,plain,
( p1(sK7(sK27))
| r1(sK7(sK27),sK29(sK7(sK27)))
| ~ spl32_4 ),
inference(resolution,[],[f147,f79]) ).
fof(f351,plain,
( spl32_35
| spl32_36
| ~ spl32_4 ),
inference(avatar_split_clause,[],[f338,f145,f348,f344]) ).
fof(f338,plain,
( p1(sK29(sK7(sK27)))
| p1(sK7(sK27))
| ~ spl32_4 ),
inference(resolution,[],[f147,f80]) ).
fof(f336,plain,
( spl32_33
| spl32_34
| ~ spl32_6
| ~ spl32_11 ),
inference(avatar_split_clause,[],[f327,f193,f155,f333,f329]) ).
fof(f327,plain,
( p1(sK12(sK27))
| p1(sK8(sK12(sK27)))
| ~ spl32_6
| ~ spl32_11 ),
inference(subsumption_resolution,[],[f326,f195]) ).
fof(f326,plain,
( ~ sP0(sK27)
| p1(sK8(sK12(sK27)))
| p1(sK12(sK27))
| ~ spl32_6
| ~ spl32_11 ),
inference(resolution,[],[f323,f68]) ).
fof(f323,plain,
( ! [X1] :
( ~ r1(sK10(sK27),X1)
| p1(X1)
| p1(sK8(X1)) )
| ~ spl32_6
| ~ spl32_11 ),
inference(resolution,[],[f319,f164]) ).
fof(f164,plain,
( ! [X2,X3] :
( ~ r1(sK27,X2)
| p1(sK8(X3))
| ~ r1(X2,X3)
| p1(X3) )
| ~ spl32_6 ),
inference(resolution,[],[f157,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(X0,X1)
| p1(X2)
| p1(sK8(X2))
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f319,plain,
( r1(sK27,sK10(sK27))
| ~ spl32_11 ),
inference(resolution,[],[f195,f70]) ).
fof(f269,plain,
~ spl32_13,
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| ~ spl32_13 ),
inference(subsumption_resolution,[],[f267,f85]) ).
fof(f85,plain,
~ p1(sK28),
inference(cnf_transformation,[],[f53]) ).
fof(f267,plain,
( p1(sK28)
| ~ spl32_13 ),
inference(resolution,[],[f201,f84]) ).
fof(f84,plain,
r1(sK27,sK28),
inference(cnf_transformation,[],[f53]) ).
fof(f201,plain,
( ! [X1] :
( ~ r1(sK27,X1)
| p1(X1) )
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f162,plain,
( spl32_6
| spl32_7 ),
inference(avatar_split_clause,[],[f153,f159,f155]) ).
fof(f153,plain,
( r1(sK27,sK24(sK27))
| sP1(sK27) ),
inference(resolution,[],[f152,f83]) ).
fof(f152,plain,
! [X0] :
( ~ r1(sK26,X0)
| sP1(X0)
| r1(X0,sK24(X0)) ),
inference(resolution,[],[f138,f76]) ).
fof(f138,plain,
! [X0,X1] :
( ~ r1(sK25,X0)
| sP1(X1)
| r1(X1,sK24(X1))
| ~ r1(X0,X1) ),
inference(resolution,[],[f89,f75]) ).
fof(f89,plain,
! [X36,X37,X35] :
( ~ r1(sK13,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| r1(X37,sK24(X37))
| sP1(X37) ),
inference(cnf_transformation,[],[f53]) ).
fof(f151,plain,
( spl32_3
| spl32_4
| spl32_5 ),
inference(avatar_split_clause,[],[f139,f149,f145,f141]) ).
fof(f139,plain,
! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK27,X0)
| r1(sK27,sK7(sK27))
| p1(sK27) ),
inference(resolution,[],[f61,f122]) ).
fof(f61,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL640+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 02:22:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.44/0.55 % (20679)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.55 % (20678)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.56 % (20680)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.44/0.56 % (20694)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.44/0.56 % (20686)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.57 % (20695)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.44/0.57 % (20688)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.57 % (20687)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.57 % (20686)Instruction limit reached!
% 1.62/0.57 % (20686)------------------------------
% 1.62/0.57 % (20686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (20686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (20686)Termination reason: Unknown
% 1.62/0.57 % (20686)Termination phase: Preprocessing 3
% 1.62/0.57
% 1.62/0.57 % (20686)Memory used [KB]: 1535
% 1.62/0.57 % (20686)Time elapsed: 0.004 s
% 1.62/0.57 % (20686)Instructions burned: 3 (million)
% 1.62/0.57 % (20686)------------------------------
% 1.62/0.57 % (20686)------------------------------
% 1.62/0.57 % (20687)Instruction limit reached!
% 1.62/0.57 % (20687)------------------------------
% 1.62/0.57 % (20687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (20696)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.62/0.58 % (20687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (20687)Termination reason: Unknown
% 1.62/0.58 % (20687)Termination phase: Saturation
% 1.62/0.58
% 1.62/0.58 % (20687)Memory used [KB]: 6140
% 1.62/0.58 % (20687)Time elapsed: 0.147 s
% 1.62/0.58 % (20687)Instructions burned: 7 (million)
% 1.62/0.58 % (20687)------------------------------
% 1.62/0.58 % (20687)------------------------------
% 1.62/0.62 % (20677)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.62/0.62 % (20675)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.62 % (20679)Instruction limit reached!
% 1.62/0.62 % (20679)------------------------------
% 1.62/0.62 % (20679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (20681)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.62/0.62 % (20679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (20679)Termination reason: Unknown
% 1.62/0.62 % (20679)Termination phase: Saturation
% 1.62/0.62
% 1.62/0.62 % (20679)Memory used [KB]: 6780
% 1.62/0.62 % (20679)Time elapsed: 0.189 s
% 1.62/0.62 % (20679)Instructions burned: 40 (million)
% 1.62/0.62 % (20679)------------------------------
% 1.62/0.62 % (20679)------------------------------
% 1.62/0.62 % (20693)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.62 % (20678)Instruction limit reached!
% 1.62/0.62 % (20678)------------------------------
% 1.62/0.62 % (20678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (20678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (20678)Termination reason: Unknown
% 1.62/0.62 % (20678)Termination phase: Saturation
% 1.62/0.62
% 1.62/0.62 % (20678)Memory used [KB]: 6908
% 1.62/0.62 % (20678)Time elapsed: 0.189 s
% 1.62/0.62 % (20678)Instructions burned: 39 (million)
% 1.62/0.62 % (20678)------------------------------
% 1.62/0.62 % (20678)------------------------------
% 1.62/0.63 % (20691)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.62/0.63 % (20697)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.62/0.63 % (20695)Instruction limit reached!
% 1.62/0.63 % (20695)------------------------------
% 1.62/0.63 % (20695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.63 % (20695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.63 % (20695)Termination reason: Unknown
% 1.62/0.63 % (20695)Termination phase: Saturation
% 1.62/0.63
% 1.62/0.63 % (20695)Memory used [KB]: 2046
% 1.62/0.63 % (20695)Time elapsed: 0.191 s
% 1.62/0.63 % (20695)Instructions burned: 46 (million)
% 1.62/0.63 % (20695)------------------------------
% 1.62/0.63 % (20695)------------------------------
% 1.62/0.63 % (20689)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.62/0.63 % (20685)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.63 % (20689)Instruction limit reached!
% 1.62/0.63 % (20689)------------------------------
% 1.62/0.63 % (20689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.63 % (20689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.63 % (20689)Termination reason: Unknown
% 1.62/0.63 % (20689)Termination phase: Preprocessing 3
% 1.62/0.63
% 1.62/0.63 % (20689)Memory used [KB]: 1535
% 1.62/0.63 % (20689)Time elapsed: 0.004 s
% 1.62/0.63 % (20689)Instructions burned: 3 (million)
% 1.62/0.63 % (20689)------------------------------
% 1.62/0.63 % (20689)------------------------------
% 1.62/0.63 % (20673)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.62/0.63 % (20682)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.62/0.63 % (20701)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.62/0.63 % (20676)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.62/0.64 % (20699)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.62/0.64 % (20700)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.62/0.65 % (20692)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.62/0.65 % (20673)Instruction limit reached!
% 1.62/0.65 % (20673)------------------------------
% 1.62/0.65 % (20673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.65 % (20673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.65 % (20673)Termination reason: Unknown
% 1.62/0.65 % (20673)Termination phase: Saturation
% 1.62/0.65
% 1.62/0.65 % (20673)Memory used [KB]: 6268
% 1.62/0.65 % (20673)Time elapsed: 0.174 s
% 1.62/0.65 % (20673)Instructions burned: 13 (million)
% 1.62/0.65 % (20673)------------------------------
% 1.62/0.65 % (20673)------------------------------
% 1.62/0.65 % (20691)Instruction limit reached!
% 1.62/0.65 % (20691)------------------------------
% 1.62/0.65 % (20691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.65 % (20691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.65 % (20691)Termination reason: Unknown
% 1.62/0.65 % (20691)Termination phase: Saturation
% 1.62/0.65
% 1.62/0.65 % (20691)Memory used [KB]: 6396
% 1.62/0.65 % (20691)Time elapsed: 0.226 s
% 1.62/0.65 % (20691)Instructions burned: 11 (million)
% 1.62/0.65 % (20691)------------------------------
% 1.62/0.65 % (20691)------------------------------
% 1.62/0.66 % (20684)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.62/0.66 % (20682)Instruction limit reached!
% 1.62/0.66 % (20682)------------------------------
% 1.62/0.66 % (20682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.66 % (20682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.66 % (20682)Termination reason: Unknown
% 1.62/0.66 % (20682)Termination phase: Saturation
% 1.62/0.66
% 1.62/0.66 % (20682)Memory used [KB]: 6396
% 1.62/0.66 % (20682)Time elapsed: 0.210 s
% 1.62/0.66 % (20682)Instructions burned: 13 (million)
% 1.62/0.66 % (20682)------------------------------
% 1.62/0.66 % (20682)------------------------------
% 2.32/0.66 % (20700)Instruction limit reached!
% 2.32/0.66 % (20700)------------------------------
% 2.32/0.66 % (20700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66 % (20700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66 % (20700)Termination reason: Unknown
% 2.32/0.66 % (20700)Termination phase: Saturation
% 2.32/0.66
% 2.32/0.66 % (20700)Memory used [KB]: 6140
% 2.32/0.66 % (20700)Time elapsed: 0.226 s
% 2.32/0.66 % (20700)Instructions burned: 8 (million)
% 2.32/0.66 % (20700)------------------------------
% 2.32/0.66 % (20700)------------------------------
% 2.32/0.66 % (20676)Instruction limit reached!
% 2.32/0.66 % (20676)------------------------------
% 2.32/0.66 % (20676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66 % (20676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66 % (20676)Termination reason: Unknown
% 2.32/0.66 % (20676)Termination phase: Saturation
% 2.32/0.66
% 2.32/0.66 % (20676)Memory used [KB]: 6140
% 2.32/0.66 % (20676)Time elapsed: 0.220 s
% 2.32/0.66 % (20676)Instructions burned: 13 (million)
% 2.32/0.66 % (20676)------------------------------
% 2.32/0.66 % (20676)------------------------------
% 2.32/0.67 % (20674)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.32/0.67 % (20677)Instruction limit reached!
% 2.32/0.67 % (20677)------------------------------
% 2.32/0.67 % (20677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (20677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (20677)Termination reason: Unknown
% 2.32/0.67 % (20677)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (20677)Memory used [KB]: 1791
% 2.32/0.67 % (20677)Time elapsed: 0.233 s
% 2.32/0.67 % (20677)Instructions burned: 16 (million)
% 2.32/0.67 % (20677)------------------------------
% 2.32/0.67 % (20677)------------------------------
% 2.32/0.67 % (20680)Instruction limit reached!
% 2.32/0.67 % (20680)------------------------------
% 2.32/0.67 % (20680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (20680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (20680)Termination reason: Unknown
% 2.32/0.67 % (20680)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (20680)Memory used [KB]: 6780
% 2.32/0.67 % (20680)Time elapsed: 0.221 s
% 2.32/0.67 % (20680)Instructions burned: 49 (million)
% 2.32/0.67 % (20680)------------------------------
% 2.32/0.67 % (20680)------------------------------
% 2.32/0.68 % (20699)Instruction limit reached!
% 2.32/0.68 % (20699)------------------------------
% 2.32/0.68 % (20699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (20699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (20699)Termination reason: Unknown
% 2.32/0.68 % (20699)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (20699)Memory used [KB]: 6652
% 2.32/0.68 % (20699)Time elapsed: 0.246 s
% 2.32/0.68 % (20699)Instructions burned: 25 (million)
% 2.32/0.68 % (20699)------------------------------
% 2.32/0.68 % (20699)------------------------------
% 2.32/0.68 % (20681)Instruction limit reached!
% 2.32/0.68 % (20681)------------------------------
% 2.32/0.68 % (20681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (20681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (20681)Termination reason: Unknown
% 2.32/0.68 % (20681)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (20681)Memory used [KB]: 6396
% 2.32/0.68 % (20681)Time elapsed: 0.206 s
% 2.32/0.68 % (20681)Instructions burned: 33 (million)
% 2.32/0.68 % (20681)------------------------------
% 2.32/0.68 % (20681)------------------------------
% 2.32/0.68 % (20688)Instruction limit reached!
% 2.32/0.68 % (20688)------------------------------
% 2.32/0.68 % (20688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (20688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (20688)Termination reason: Unknown
% 2.32/0.68 % (20688)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (20688)Memory used [KB]: 6652
% 2.32/0.68 % (20688)Time elapsed: 0.231 s
% 2.32/0.68 % (20688)Instructions burned: 50 (million)
% 2.32/0.68 % (20688)------------------------------
% 2.32/0.68 % (20688)------------------------------
% 2.32/0.68 % (20696)Instruction limit reached!
% 2.32/0.68 % (20696)------------------------------
% 2.32/0.68 % (20696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (20696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (20696)Termination reason: Unknown
% 2.32/0.68 % (20696)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (20696)Memory used [KB]: 7036
% 2.32/0.68 % (20696)Time elapsed: 0.231 s
% 2.32/0.68 % (20696)Instructions burned: 50 (million)
% 2.32/0.68 % (20696)------------------------------
% 2.32/0.68 % (20696)------------------------------
% 2.32/0.68 % (20684)Instruction limit reached!
% 2.32/0.68 % (20684)------------------------------
% 2.32/0.68 % (20684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (20684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (20684)Termination reason: Unknown
% 2.32/0.68 % (20684)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (20684)Memory used [KB]: 1791
% 2.32/0.68 % (20684)Time elapsed: 0.238 s
% 2.32/0.68 % (20684)Instructions burned: 16 (million)
% 2.32/0.68 % (20684)------------------------------
% 2.32/0.68 % (20684)------------------------------
% 2.32/0.69 % (20701)Instruction limit reached!
% 2.32/0.69 % (20701)------------------------------
% 2.32/0.69 % (20701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (20701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (20701)Termination reason: Unknown
% 2.32/0.69 % (20701)Termination phase: Saturation
% 2.32/0.69
% 2.32/0.69 % (20701)Memory used [KB]: 6268
% 2.32/0.69 % (20701)Time elapsed: 0.257 s
% 2.32/0.69 % (20701)Instructions burned: 24 (million)
% 2.32/0.69 % (20701)------------------------------
% 2.32/0.69 % (20701)------------------------------
% 2.53/0.69 % (20674)Instruction limit reached!
% 2.53/0.69 % (20674)------------------------------
% 2.53/0.69 % (20674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.69 % (20674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.69 % (20674)Termination reason: Unknown
% 2.53/0.69 % (20674)Termination phase: Property scanning
% 2.53/0.69
% 2.53/0.69 % (20674)Memory used [KB]: 1535
% 2.53/0.69 % (20674)Time elapsed: 0.005 s
% 2.53/0.69 % (20674)Instructions burned: 3 (million)
% 2.53/0.69 % (20674)------------------------------
% 2.53/0.69 % (20674)------------------------------
% 2.53/0.69 % (20672)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.53/0.69 % (20685)Refutation not found, incomplete strategy% (20685)------------------------------
% 2.53/0.69 % (20685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.69 % (20685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.69 % (20685)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.69
% 2.53/0.69 % (20685)Memory used [KB]: 6396
% 2.53/0.69 % (20685)Time elapsed: 0.263 s
% 2.53/0.69 % (20685)Instructions burned: 28 (million)
% 2.53/0.69 % (20685)------------------------------
% 2.53/0.69 % (20685)------------------------------
% 2.53/0.70 % (20675)Refutation not found, incomplete strategy% (20675)------------------------------
% 2.53/0.70 % (20675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.70 % (20675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.70 % (20675)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.70
% 2.53/0.70 % (20675)Memory used [KB]: 6524
% 2.53/0.70 % (20675)Time elapsed: 0.256 s
% 2.53/0.70 % (20675)Instructions burned: 40 (million)
% 2.53/0.70 % (20675)------------------------------
% 2.53/0.70 % (20675)------------------------------
% 2.53/0.70 % (20683)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.53/0.70 % (20698)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.53/0.70 % (20692)Instruction limit reached!
% 2.53/0.70 % (20692)------------------------------
% 2.53/0.70 % (20692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.70 % (20692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.70 % (20692)Termination reason: Unknown
% 2.53/0.70 % (20692)Termination phase: Saturation
% 2.53/0.70
% 2.53/0.70 % (20692)Memory used [KB]: 6524
% 2.53/0.70 % (20692)Time elapsed: 0.264 s
% 2.53/0.70 % (20692)Instructions burned: 30 (million)
% 2.53/0.70 % (20692)------------------------------
% 2.53/0.70 % (20692)------------------------------
% 2.53/0.71 % (20690)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.53/0.71 % (20690)Instruction limit reached!
% 2.53/0.71 % (20690)------------------------------
% 2.53/0.71 % (20690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.71 % (20690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.71 % (20690)Termination reason: Unknown
% 2.53/0.71 % (20690)Termination phase: Preprocessing 1
% 2.53/0.71
% 2.53/0.71 % (20690)Memory used [KB]: 1407
% 2.53/0.71 % (20690)Time elapsed: 0.004 s
% 2.53/0.71 % (20690)Instructions burned: 2 (million)
% 2.53/0.71 % (20690)------------------------------
% 2.53/0.71 % (20690)------------------------------
% 2.69/0.73 % (20683)Instruction limit reached!
% 2.69/0.73 % (20683)------------------------------
% 2.69/0.73 % (20683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.73 % (20683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.73 % (20683)Termination reason: Unknown
% 2.69/0.73 % (20683)Termination phase: Saturation
% 2.69/0.73
% 2.69/0.73 % (20683)Memory used [KB]: 6140
% 2.69/0.73 % (20683)Time elapsed: 0.286 s
% 2.69/0.73 % (20683)Instructions burned: 7 (million)
% 2.69/0.73 % (20683)------------------------------
% 2.69/0.73 % (20683)------------------------------
% 2.69/0.74 % (20694)Instruction limit reached!
% 2.69/0.74 % (20694)------------------------------
% 2.69/0.74 % (20694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.74 % (20694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.74 % (20694)Termination reason: Unknown
% 2.69/0.74 % (20694)Termination phase: Saturation
% 2.69/0.74
% 2.69/0.74 % (20694)Memory used [KB]: 8955
% 2.69/0.74 % (20694)Time elapsed: 0.286 s
% 2.69/0.74 % (20694)Instructions burned: 83 (million)
% 2.69/0.74 % (20694)------------------------------
% 2.69/0.74 % (20694)------------------------------
% 2.69/0.74 % (20727)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.69/0.74 % (20713)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.69/0.78 % (20697)First to succeed.
% 2.69/0.79 % (20727)Instruction limit reached!
% 2.69/0.79 % (20727)------------------------------
% 2.69/0.79 % (20727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.79 % (20727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.79 % (20727)Termination reason: Unknown
% 2.69/0.79 % (20727)Termination phase: Saturation
% 2.69/0.79
% 2.69/0.79 % (20727)Memory used [KB]: 1918
% 2.69/0.79 % (20727)Time elapsed: 0.109 s
% 2.69/0.79 % (20727)Instructions burned: 107 (million)
% 2.69/0.79 % (20727)------------------------------
% 2.69/0.79 % (20727)------------------------------
% 2.69/0.80 % (20726)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.87/0.81 % (20697)Refutation found. Thanks to Tanya!
% 2.87/0.81 % SZS status Theorem for theBenchmark
% 2.87/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.81 % (20697)------------------------------
% 2.87/0.81 % (20697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.81 % (20697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.81 % (20697)Termination reason: Refutation
% 2.87/0.81
% 2.87/0.81 % (20697)Memory used [KB]: 7291
% 2.87/0.81 % (20697)Time elapsed: 0.294 s
% 2.87/0.81 % (20697)Instructions burned: 59 (million)
% 2.87/0.81 % (20697)------------------------------
% 2.87/0.81 % (20697)------------------------------
% 2.87/0.81 % (20671)Success in time 0.437 s
%------------------------------------------------------------------------------