TSTP Solution File: LCL652+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL652+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 17:49:08 EDT 2022
% Result : Theorem 3.01s 0.79s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 44
% Syntax : Number of formulae : 186 ( 6 unt; 0 def)
% Number of atoms : 1510 ( 0 equ)
% Maximal formula atoms : 78 ( 8 avg)
% Number of connectives : 2515 (1191 ~; 968 |; 317 &)
% ( 15 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 16 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 814 ( 636 !; 178 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2893,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f214,f234,f273,f383,f412,f1661,f1678,f1680,f1682,f1701,f1710,f1711,f1720,f2032,f2079,f2825,f2828,f2889,f2892]) ).
fof(f2892,plain,
( spl28_43
| ~ spl28_39 ),
inference(avatar_split_clause,[],[f2891,f377,f410]) ).
fof(f410,plain,
( spl28_43
<=> ! [X0,X1] :
( ~ r1(sK23,X0)
| r1(X1,sK7(X1))
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
fof(f377,plain,
( spl28_39
<=> r1(sK23,sK6(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_39])]) ).
fof(f2891,plain,
( ! [X0,X1] :
( r1(X1,sK7(X1))
| ~ r1(sK23,X0)
| ~ r1(X0,X1) )
| ~ spl28_39 ),
inference(subsumption_resolution,[],[f2890,f105]) ).
fof(f105,plain,
sP2(sK23),
inference(resolution,[],[f96,f82]) ).
fof(f82,plain,
r1(sK16,sK23),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ! [X1] :
( ( r1(X1,sK17(X1))
& p1(sK17(X1)) )
| ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) ) )
| ~ r1(sK16,X1) )
& ! [X5] :
( ~ r1(sK16,X5)
| ( sP2(X5)
& sP0(X5)
& sP1(X5)
& ! [X6] :
( ( r1(sK18(X6),sK19(X6))
& p2(sK18(X6))
& r1(X6,sK18(X6)) )
| ~ r1(X5,X6) )
& sP3(X5) ) )
& r1(sK20,sK21)
& ! [X11] :
( p1(X11)
| ~ r1(sK21,X11) )
& r1(sK20,sK22)
& ~ p1(sK22)
& r1(sK16,sK20)
& ! [X14] :
( ~ r1(sK23,X14)
| ( r1(X14,sK24(X14))
& ~ p2(sK24(X14)) ) )
& r1(sK16,sK23)
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ r1(X16,X17) )
| ( r1(X16,sK25(X16))
& ~ p1(sK25(X16)) )
| ~ r1(sK16,X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ( p1(sK26(X22))
& r1(X22,sK26(X22)) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(sK16,X20)
| ( r1(X20,sK27(X20))
& ! [X25] :
( ~ p1(X25)
| ~ r1(sK27(X20),X25) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f38,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39]) ).
fof(f39,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( r1(X1,X2)
& p1(X2) )
| ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) ) )
| ~ r1(X0,X1) )
& ! [X5] :
( ~ r1(X0,X5)
| ( sP2(X5)
& sP0(X5)
& sP1(X5)
& ! [X6] :
( ? [X7] :
( ? [X8] : r1(X7,X8)
& p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& sP3(X5) ) )
& ? [X9] :
( ? [X10] :
( r1(X9,X10)
& ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) )
& ? [X12] :
( r1(X9,X12)
& ~ p1(X12) )
& r1(X0,X9) )
& ? [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( r1(X14,X15)
& ~ p2(X15) ) )
& r1(X0,X13) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ r1(X16,X17) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
| ~ r1(X0,X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ? [X23] :
( p1(X23)
& r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20)
| ? [X24] :
( r1(X20,X24)
& ! [X25] :
( ~ p1(X25)
| ~ r1(X24,X25) ) ) ) )
=> ( ! [X1] :
( ? [X2] :
( r1(X1,X2)
& p1(X2) )
| ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) ) )
| ~ r1(sK16,X1) )
& ! [X5] :
( ~ r1(sK16,X5)
| ( sP2(X5)
& sP0(X5)
& sP1(X5)
& ! [X6] :
( ? [X7] :
( ? [X8] : r1(X7,X8)
& p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& sP3(X5) ) )
& ? [X9] :
( ? [X10] :
( r1(X9,X10)
& ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) )
& ? [X12] :
( r1(X9,X12)
& ~ p1(X12) )
& r1(sK16,X9) )
& ? [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( r1(X14,X15)
& ~ p2(X15) ) )
& r1(sK16,X13) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ r1(X16,X17) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
| ~ r1(sK16,X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ? [X23] :
( p1(X23)
& r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(sK16,X20)
| ? [X24] :
( r1(X20,X24)
& ! [X25] :
( ~ p1(X25)
| ~ r1(X24,X25) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& p1(X2) )
=> ( r1(X1,sK17(X1))
& p1(sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X6] :
( ? [X7] :
( ? [X8] : r1(X7,X8)
& p2(X7)
& r1(X6,X7) )
=> ( ? [X8] : r1(sK18(X6),X8)
& p2(sK18(X6))
& r1(X6,sK18(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X6] :
( ? [X8] : r1(sK18(X6),X8)
=> r1(sK18(X6),sK19(X6)) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X9] :
( ? [X10] :
( r1(X9,X10)
& ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) )
& ? [X12] :
( r1(X9,X12)
& ~ p1(X12) )
& r1(sK16,X9) )
=> ( ? [X10] :
( r1(sK20,X10)
& ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) )
& ? [X12] :
( r1(sK20,X12)
& ~ p1(X12) )
& r1(sK16,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X10] :
( r1(sK20,X10)
& ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) )
=> ( r1(sK20,sK21)
& ! [X11] :
( p1(X11)
| ~ r1(sK21,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X12] :
( r1(sK20,X12)
& ~ p1(X12) )
=> ( r1(sK20,sK22)
& ~ p1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( r1(X14,X15)
& ~ p2(X15) ) )
& r1(sK16,X13) )
=> ( ! [X14] :
( ~ r1(sK23,X14)
| ? [X15] :
( r1(X14,X15)
& ~ p2(X15) ) )
& r1(sK16,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
=> ( r1(X14,sK24(X14))
& ~ p2(sK24(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X16] :
( ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
=> ( r1(X16,sK25(X16))
& ~ p1(sK25(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X22] :
( ? [X23] :
( p1(X23)
& r1(X22,X23) )
=> ( p1(sK26(X22))
& r1(X22,sK26(X22)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X20] :
( ? [X24] :
( r1(X20,X24)
& ! [X25] :
( ~ p1(X25)
| ~ r1(X24,X25) ) )
=> ( r1(X20,sK27(X20))
& ! [X25] :
( ~ p1(X25)
| ~ r1(sK27(X20),X25) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( r1(X1,X2)
& p1(X2) )
| ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) ) )
| ~ r1(X0,X1) )
& ! [X5] :
( ~ r1(X0,X5)
| ( sP2(X5)
& sP0(X5)
& sP1(X5)
& ! [X6] :
( ? [X7] :
( ? [X8] : r1(X7,X8)
& p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& sP3(X5) ) )
& ? [X9] :
( ? [X10] :
( r1(X9,X10)
& ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) )
& ? [X12] :
( r1(X9,X12)
& ~ p1(X12) )
& r1(X0,X9) )
& ? [X13] :
( ! [X14] :
( ~ r1(X13,X14)
| ? [X15] :
( r1(X14,X15)
& ~ p2(X15) ) )
& r1(X0,X13) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ r1(X16,X17) )
| ? [X19] :
( r1(X16,X19)
& ~ p1(X19) )
| ~ r1(X0,X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ? [X23] :
( p1(X23)
& r1(X22,X23) )
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20)
| ? [X24] :
( r1(X20,X24)
& ! [X25] :
( ~ p1(X25)
| ~ r1(X24,X25) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X0] :
( ! [X46] :
( ? [X49] :
( r1(X46,X49)
& p1(X49) )
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ r1(X0,X46) )
& ! [X15] :
( ~ r1(X0,X15)
| ( sP2(X15)
& sP0(X15)
& sP1(X15)
& ! [X39] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& p2(X40)
& r1(X39,X40) )
| ~ r1(X15,X39) )
& sP3(X15) ) )
& ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) ) )
& ? [X14] :
( r1(X11,X14)
& ~ p1(X14) )
& r1(X0,X11) )
& ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ? [X45] :
( r1(X44,X45)
& ~ p2(X45) ) )
& r1(X0,X43) )
& ! [X1] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) )
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X8] :
( ! [X9] :
( ? [X10] :
( p1(X10)
& r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) )
| ~ r1(X0,X5)
| ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) ) ) ),
inference(definition_folding,[],[f8,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X15] :
( ! [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) )
& r1(X32,X33) )
| ~ r1(X15,X32)
| ? [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| ? [X37] :
( ? [X38] : r1(X37,X38)
& p2(X37)
& r1(X36,X37) ) )
& r1(X32,X35) ) )
| ~ sP0(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X15] :
( ? [X28] :
( p2(X28)
& r1(X15,X28)
& ? [X29] : r1(X28,X29) )
| ? [X30] :
( r1(X15,X30)
& ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) ) )
| ~ sP1(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X15] :
( ? [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
& r1(X15,X16) )
| ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ? [X20] :
( ? [X21] : r1(X20,X21)
& p2(X20)
& r1(X19,X20) ) )
| ~ r1(X15,X18) )
| ~ sP2(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X15] :
( ! [X22] :
( ! [X23] :
( ~ r1(X22,X23)
| ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) )
& r1(X23,X24) ) )
| ! [X26] :
( ( p2(X26)
& ? [X27] : r1(X26,X27) )
| ~ r1(X22,X26) )
| ~ p2(X22)
| ~ r1(X15,X22) )
| ~ sP3(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f8,plain,
? [X0] :
( ! [X46] :
( ? [X49] :
( r1(X46,X49)
& p1(X49) )
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ r1(X0,X46) )
& ! [X15] :
( ~ r1(X0,X15)
| ( ( ? [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
& r1(X15,X16) )
| ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ? [X20] :
( ? [X21] : r1(X20,X21)
& p2(X20)
& r1(X19,X20) ) )
| ~ r1(X15,X18) ) )
& ! [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) )
& r1(X32,X33) )
| ~ r1(X15,X32)
| ? [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| ? [X37] :
( ? [X38] : r1(X37,X38)
& p2(X37)
& r1(X36,X37) ) )
& r1(X32,X35) ) )
& ( ? [X28] :
( p2(X28)
& r1(X15,X28)
& ? [X29] : r1(X28,X29) )
| ? [X30] :
( r1(X15,X30)
& ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) ) ) )
& ! [X39] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& p2(X40)
& r1(X39,X40) )
| ~ r1(X15,X39) )
& ! [X22] :
( ! [X23] :
( ~ r1(X22,X23)
| ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) )
& r1(X23,X24) ) )
| ! [X26] :
( ( p2(X26)
& ? [X27] : r1(X26,X27) )
| ~ r1(X22,X26) )
| ~ p2(X22)
| ~ r1(X15,X22) ) ) )
& ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) ) )
& ? [X14] :
( r1(X11,X14)
& ~ p1(X14) )
& r1(X0,X11) )
& ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ? [X45] :
( r1(X44,X45)
& ~ p2(X45) ) )
& r1(X0,X43) )
& ! [X1] :
( ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) )
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
| ~ r1(X0,X1) )
& ! [X5] :
( ! [X8] :
( ! [X9] :
( ? [X10] :
( p1(X10)
& r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) )
| ~ r1(X0,X5)
| ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X15] :
( ( ( ? [X28] :
( p2(X28)
& r1(X15,X28)
& ? [X29] : r1(X28,X29) )
| ? [X30] :
( r1(X15,X30)
& ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) ) ) )
& ( ? [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
& r1(X15,X16) )
| ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ? [X20] :
( ? [X21] : r1(X20,X21)
& p2(X20)
& r1(X19,X20) ) )
| ~ r1(X15,X18) ) )
& ! [X22] :
( ~ p2(X22)
| ! [X26] :
( ( p2(X26)
& ? [X27] : r1(X26,X27) )
| ~ r1(X22,X26) )
| ! [X23] :
( ~ r1(X22,X23)
| ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) )
& r1(X23,X24) ) )
| ~ r1(X15,X22) )
& ! [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) )
& r1(X32,X33) )
| ? [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| ? [X37] :
( ? [X38] : r1(X37,X38)
& p2(X37)
& r1(X36,X37) ) )
& r1(X32,X35) )
| ~ r1(X15,X32) )
& ! [X39] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& p2(X40)
& r1(X39,X40) )
| ~ r1(X15,X39) ) )
| ~ r1(X0,X15) )
& ! [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
| ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( r1(X5,X6)
& ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) )
| ! [X8] :
( ! [X9] :
( ? [X10] :
( p1(X10)
& r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) ) )
& ? [X11] :
( ? [X12] :
( r1(X11,X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) ) )
& ? [X14] :
( r1(X11,X14)
& ~ p1(X14) )
& r1(X0,X11) )
& ! [X46] :
( ? [X49] :
( r1(X46,X49)
& p1(X49) )
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ r1(X0,X46) )
& ? [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ? [X45] :
( r1(X44,X45)
& ~ p2(X45) ) )
& r1(X0,X43) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X15] :
( ~ ( ( ! [X28] :
( ! [X29] : ~ r1(X28,X29)
| ~ r1(X15,X28)
| ~ p2(X28) )
& ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) )
| ~ r1(X15,X30) ) )
| ( ~ ! [X18] :
( ~ r1(X15,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] : ~ r1(X20,X21) ) ) )
& ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
| ~ r1(X15,X16) ) )
| ~ ! [X22] :
( ~ ( p2(X22)
& ~ ! [X26] :
( ~ ( ! [X27] : ~ r1(X26,X27)
| ~ p2(X26) )
| ~ r1(X22,X26) )
& ~ ! [X23] :
( ~ ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X15,X22) )
| ~ ! [X32] :
( ~ ( ! [X33] :
( ~ r1(X32,X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) ) )
& ! [X35] :
( ~ r1(X32,X35)
| ~ ! [X36] :
( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(X35,X36) ) ) )
| ~ r1(X15,X32) )
| ~ ! [X39] :
( ~ ! [X40] :
( ~ r1(X39,X40)
| ! [X41] : ~ r1(X40,X41)
| ~ p2(X40) )
| ~ r1(X15,X39) ) )
| ~ r1(X0,X15) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& ~ ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| ~ ( ! [X6] :
( ~ r1(X5,X6)
| ~ ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) )
& ~ ! [X8] :
( ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) ) ) )
| ! [X11] :
( ! [X14] :
( p1(X14)
| ~ r1(X11,X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
| ~ ! [X46] :
( ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) )
| ~ r1(X0,X46) )
| ! [X43] :
( ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
| ~ r1(X0,X43) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X15] :
( ~ ( ( ! [X28] :
( ! [X29] : ~ r1(X28,X29)
| ~ r1(X15,X28)
| ~ p2(X28) )
& ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) )
| ~ r1(X15,X30) ) )
| ( ~ ! [X18] :
( ~ r1(X15,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] : ~ r1(X20,X21) ) ) )
& ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
| ~ r1(X15,X16) ) )
| ~ ! [X22] :
( ~ ( p2(X22)
& ~ ! [X26] :
( ~ ( ! [X27] : ~ r1(X26,X27)
| ~ p2(X26) )
| ~ r1(X22,X26) )
& ~ ! [X23] :
( ~ ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X15,X22) )
| ~ ! [X32] :
( ~ ( ! [X33] :
( ~ r1(X32,X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) ) )
& ! [X35] :
( ~ r1(X32,X35)
| ~ ! [X36] :
( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(X35,X36) ) ) )
| ~ r1(X15,X32) )
| ~ ! [X39] :
( ~ ! [X40] :
( ~ r1(X39,X40)
| ! [X41] : ~ r1(X40,X41)
| ~ p2(X40) )
| ~ r1(X15,X39) ) )
| ~ r1(X0,X15) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& ~ ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| ~ ( ! [X6] :
( ~ r1(X5,X6)
| ~ ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) )
& ~ ! [X8] :
( ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) ) ) )
| ! [X11] :
( ! [X14] :
( p1(X14)
| ~ r1(X11,X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
| ~ ! [X46] :
( ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) )
| ~ r1(X0,X46) )
| ~ ! [X42] :
( ~ r1(X0,X42)
| ~ p4(X42) )
| ! [X43] :
( ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
| ~ r1(X0,X43) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X15] :
( ~ ( ( ! [X28] :
( ! [X29] :
( p3(X29)
| ~ r1(X28,X29) )
| ~ r1(X15,X28)
| ~ p2(X28) )
& ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) )
| ~ r1(X15,X30) ) )
| ( ~ ! [X18] :
( ~ r1(X15,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] :
( p3(X21)
| ~ r1(X20,X21) ) ) ) )
& ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
| ~ r1(X15,X16) ) )
| ~ ! [X22] :
( ~ ( p2(X22)
& ~ ! [X26] :
( ~ ( ! [X27] :
( p3(X27)
| ~ r1(X26,X27) )
| ~ p2(X26) )
| ~ r1(X22,X26) )
& ~ ! [X23] :
( ~ ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X15,X22) )
| ~ ! [X32] :
( ~ ( ! [X33] :
( ~ r1(X32,X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) ) )
& ! [X35] :
( ~ r1(X32,X35)
| ~ ! [X36] :
( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| ! [X38] :
( ~ r1(X37,X38)
| p3(X38) ) )
| ~ r1(X35,X36) ) ) )
| ~ r1(X15,X32) )
| ~ ! [X39] :
( ~ ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| p3(X41) )
| ~ p2(X40) )
| ~ r1(X15,X39) ) )
| ~ r1(X0,X15) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& ~ ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| ~ ( ! [X6] :
( ~ r1(X5,X6)
| ~ ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) )
& ~ ! [X8] :
( ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) ) ) )
| ! [X11] :
( ! [X14] :
( p1(X14)
| ~ r1(X11,X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
| ~ ! [X46] :
( ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) )
| ~ r1(X0,X46) )
| ~ ! [X42] :
( ~ r1(X0,X42)
| ~ p4(X42) )
| ! [X43] :
( ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
| ~ r1(X0,X43) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X15] :
( ~ ( ( ! [X28] :
( ! [X29] :
( p3(X29)
| ~ r1(X28,X29) )
| ~ r1(X15,X28)
| ~ p2(X28) )
& ! [X30] :
( ~ ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) )
| ~ r1(X15,X30) ) )
| ( ~ ! [X18] :
( ~ r1(X15,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] :
( p3(X21)
| ~ r1(X20,X21) ) ) ) )
& ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
| ~ r1(X15,X16) ) )
| ~ ! [X22] :
( ~ ( p2(X22)
& ~ ! [X26] :
( ~ ( ! [X27] :
( p3(X27)
| ~ r1(X26,X27) )
| ~ p2(X26) )
| ~ r1(X22,X26) )
& ~ ! [X23] :
( ~ ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) ) )
| ~ r1(X22,X23) ) )
| ~ r1(X15,X22) )
| ~ ! [X32] :
( ~ ( ! [X33] :
( ~ r1(X32,X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) ) )
& ! [X35] :
( ~ r1(X32,X35)
| ~ ! [X36] :
( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| ! [X38] :
( ~ r1(X37,X38)
| p3(X38) ) )
| ~ r1(X35,X36) ) ) )
| ~ r1(X15,X32) )
| ~ ! [X39] :
( ~ ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| p3(X41) )
| ~ p2(X40) )
| ~ r1(X15,X39) ) )
| ~ r1(X0,X15) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& ~ ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p1(X4) )
| ~ r1(X1,X3) ) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| ~ ( ! [X6] :
( ~ r1(X5,X6)
| ~ ! [X7] :
( ~ p1(X7)
| ~ r1(X6,X7) ) )
& ~ ! [X8] :
( ! [X9] :
( ~ ! [X10] :
( ~ p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X5,X8) ) ) )
| ! [X11] :
( ! [X14] :
( p1(X14)
| ~ r1(X11,X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
| ~ ! [X46] :
( ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) )
| ~ r1(X0,X46) )
| ~ ! [X42] :
( ~ r1(X0,X42)
| ~ p4(X42) )
| ! [X43] :
( ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
| ~ r1(X0,X43) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) ) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) ) ) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) ) ) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) ) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) ) ) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f96,plain,
! [X5] :
( ~ r1(sK16,X5)
| sP2(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2890,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP2(sK23)
| r1(X1,sK7(X1))
| ~ r1(sK23,X0) )
| ~ spl28_39 ),
inference(subsumption_resolution,[],[f2885,f2841]) ).
fof(f2841,plain,
( p2(sK18(sK6(sK23)))
| ~ spl28_39 ),
inference(resolution,[],[f379,f107]) ).
fof(f107,plain,
! [X0] :
( ~ r1(sK23,X0)
| p2(sK18(X0)) ),
inference(resolution,[],[f92,f82]) ).
fof(f92,plain,
! [X6,X5] :
( ~ r1(sK16,X5)
| ~ r1(X5,X6)
| p2(sK18(X6)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f379,plain,
( r1(sK23,sK6(sK23))
| ~ spl28_39 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ r1(sK23,X0)
| r1(X1,sK7(X1))
| ~ p2(sK18(sK6(sK23)))
| ~ r1(X0,X1)
| ~ sP2(sK23) )
| ~ spl28_39 ),
inference(resolution,[],[f2842,f59]) ).
fof(f59,plain,
! [X2,X3,X0,X4] :
( ~ r1(sK6(X0),X2)
| ~ p2(X2)
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| r1(X4,sK7(X4))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( ! [X2] :
( ~ r1(sK6(X0),X2)
| ~ p2(X2) )
& r1(X0,sK6(X0)) )
| ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ( r1(sK7(X4),sK8(X4))
& p2(sK7(X4))
& r1(X4,sK7(X4)) ) )
| ~ r1(X0,X3) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f20,f23,f22,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ r1(sK6(X0),X2)
| ~ p2(X2) )
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X4] :
( ? [X5] :
( ? [X6] : r1(X5,X6)
& p2(X5)
& r1(X4,X5) )
=> ( ? [X6] : r1(sK7(X4),X6)
& p2(sK7(X4))
& r1(X4,sK7(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X4] :
( ? [X6] : r1(sK7(X4),X6)
=> r1(sK7(X4),sK8(X4)) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) )
& r1(X0,X1) )
| ! [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( ? [X6] : r1(X5,X6)
& p2(X5)
& r1(X4,X5) ) )
| ~ r1(X0,X3) )
| ~ sP2(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X15] :
( ? [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) )
& r1(X15,X16) )
| ! [X18] :
( ! [X19] :
( ~ r1(X18,X19)
| ? [X20] :
( ? [X21] : r1(X20,X21)
& p2(X20)
& r1(X19,X20) ) )
| ~ r1(X15,X18) )
| ~ sP2(X15) ),
inference(nnf_transformation,[],[f11]) ).
fof(f2842,plain,
( r1(sK6(sK23),sK18(sK6(sK23)))
| ~ spl28_39 ),
inference(resolution,[],[f379,f109]) ).
fof(f109,plain,
! [X0] :
( ~ r1(sK23,X0)
| r1(X0,sK18(X0)) ),
inference(resolution,[],[f91,f82]) ).
fof(f91,plain,
! [X6,X5] :
( ~ r1(sK16,X5)
| r1(X6,sK18(X6))
| ~ r1(X5,X6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2889,plain,
( spl28_40
| ~ spl28_39 ),
inference(avatar_split_clause,[],[f2888,f377,f381]) ).
fof(f381,plain,
( spl28_40
<=> ! [X0,X1] :
( ~ r1(sK23,X0)
| p2(sK7(X1))
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_40])]) ).
fof(f2888,plain,
( ! [X2,X3] :
( p2(sK7(X3))
| ~ r1(X2,X3)
| ~ r1(sK23,X2) )
| ~ spl28_39 ),
inference(subsumption_resolution,[],[f2887,f105]) ).
fof(f2887,plain,
( ! [X2,X3] :
( ~ r1(X2,X3)
| ~ sP2(sK23)
| ~ r1(sK23,X2)
| p2(sK7(X3)) )
| ~ spl28_39 ),
inference(subsumption_resolution,[],[f2886,f2841]) ).
fof(f2886,plain,
( ! [X2,X3] :
( ~ p2(sK18(sK6(sK23)))
| ~ r1(X2,X3)
| ~ r1(sK23,X2)
| p2(sK7(X3))
| ~ sP2(sK23) )
| ~ spl28_39 ),
inference(resolution,[],[f2842,f60]) ).
fof(f60,plain,
! [X2,X3,X0,X4] :
( ~ r1(sK6(X0),X2)
| ~ sP2(X0)
| ~ r1(X3,X4)
| p2(sK7(X4))
| ~ r1(X0,X3)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f2828,plain,
( ~ spl28_15
| ~ spl28_232 ),
inference(avatar_contradiction_clause,[],[f2827]) ).
fof(f2827,plain,
( $false
| ~ spl28_15
| ~ spl28_232 ),
inference(subsumption_resolution,[],[f2826,f99]) ).
fof(f99,plain,
sP3(sK23),
inference(resolution,[],[f90,f82]) ).
fof(f90,plain,
! [X5] :
( ~ r1(sK16,X5)
| sP3(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2826,plain,
( ~ sP3(sK23)
| ~ spl28_15
| ~ spl28_232 ),
inference(resolution,[],[f2824,f213]) ).
fof(f213,plain,
( r1(sK23,sK9(sK23))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl28_15
<=> r1(sK23,sK9(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f2824,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK23))
| ~ sP3(X0) )
| ~ spl28_232 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f2823,plain,
( spl28_232
<=> ! [X0] :
( ~ r1(X0,sK9(sK23))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_232])]) ).
fof(f2825,plain,
( spl28_232
| spl28_70
| ~ spl28_11
| ~ spl28_16
| ~ spl28_153
| ~ spl28_158 ),
inference(avatar_split_clause,[],[f2821,f1675,f1655,f266,f191,f595,f2823]) ).
fof(f595,plain,
( spl28_70
<=> ! [X5] :
( p2(X5)
| ~ r1(sK9(sK23),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_70])]) ).
fof(f191,plain,
( spl28_11
<=> p2(sK9(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f266,plain,
( spl28_16
<=> r1(sK9(sK23),sK13(sK9(sK23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f1655,plain,
( spl28_153
<=> r1(sK4(sK13(sK9(sK23))),sK14(sK4(sK13(sK9(sK23))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_153])]) ).
fof(f1675,plain,
( spl28_158
<=> p2(sK14(sK4(sK13(sK9(sK23))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_158])]) ).
fof(f2821,plain,
( ! [X0,X1] :
( p2(X1)
| ~ r1(sK9(sK23),X1)
| ~ r1(X0,sK9(sK23))
| ~ sP3(X0) )
| ~ spl28_11
| ~ spl28_16
| ~ spl28_153
| ~ spl28_158 ),
inference(subsumption_resolution,[],[f2820,f193]) ).
fof(f193,plain,
( p2(sK9(sK23))
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f2820,plain,
( ! [X0,X1] :
( ~ sP3(X0)
| ~ p2(sK9(sK23))
| p2(X1)
| ~ r1(X0,sK9(sK23))
| ~ r1(sK9(sK23),X1) )
| ~ spl28_16
| ~ spl28_153
| ~ spl28_158 ),
inference(resolution,[],[f2775,f268]) ).
fof(f268,plain,
( r1(sK9(sK23),sK13(sK9(sK23)))
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f2775,plain,
( ! [X3,X4,X5] :
( ~ r1(X3,sK13(sK9(sK23)))
| ~ sP3(X5)
| ~ p2(X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ r1(X5,X3) )
| ~ spl28_153
| ~ spl28_158 ),
inference(subsumption_resolution,[],[f2773,f1677]) ).
fof(f1677,plain,
( p2(sK14(sK4(sK13(sK9(sK23)))))
| ~ spl28_158 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f2773,plain,
( ! [X3,X4,X5] :
( ~ p2(sK14(sK4(sK13(sK9(sK23)))))
| p2(X4)
| ~ p2(X3)
| ~ sP3(X5)
| ~ r1(X3,sK13(sK9(sK23)))
| ~ r1(X3,X4)
| ~ r1(X5,X3) )
| ~ spl28_153 ),
inference(resolution,[],[f1657,f55]) ).
fof(f55,plain,
! [X2,X0,X1,X4,X5] :
( ~ r1(sK4(X2),X4)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ p2(X4)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP3(X0)
| p2(X5) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ( ! [X4] :
( ~ r1(sK4(X2),X4)
| ~ p2(X4) )
& r1(X2,sK4(X2)) ) )
| ! [X5] :
( ( p2(X5)
& r1(X5,sK5(X5)) )
| ~ r1(X1,X5) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f15,f17,f16]) ).
fof(f16,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ~ p2(X4) )
& r1(X2,X3) )
=> ( ! [X4] :
( ~ r1(sK4(X2),X4)
| ~ p2(X4) )
& r1(X2,sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK5(X5)) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ~ p2(X4) )
& r1(X2,X3) ) )
| ! [X5] :
( ( p2(X5)
& ? [X6] : r1(X5,X6) )
| ~ r1(X1,X5) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X15] :
( ! [X22] :
( ! [X23] :
( ~ r1(X22,X23)
| ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25) )
& r1(X23,X24) ) )
| ! [X26] :
( ( p2(X26)
& ? [X27] : r1(X26,X27) )
| ~ r1(X22,X26) )
| ~ p2(X22)
| ~ r1(X15,X22) )
| ~ sP3(X15) ),
inference(nnf_transformation,[],[f12]) ).
fof(f1657,plain,
( r1(sK4(sK13(sK9(sK23))),sK14(sK4(sK13(sK9(sK23)))))
| ~ spl28_153 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f2079,plain,
( spl28_16
| spl28_157
| ~ spl28_15
| ~ spl28_17
| ~ spl28_40
| ~ spl28_43 ),
inference(avatar_split_clause,[],[f2078,f410,f381,f270,f211,f1672,f266]) ).
fof(f1672,plain,
( spl28_157
<=> ! [X1] :
( ~ r1(X1,sK9(sK23))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_157])]) ).
fof(f270,plain,
( spl28_17
<=> r1(sK9(sK23),sK12(sK9(sK23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f2078,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK23))
| ~ sP0(X0)
| r1(sK9(sK23),sK13(sK9(sK23))) )
| ~ spl28_15
| ~ spl28_17
| ~ spl28_40
| ~ spl28_43 ),
inference(subsumption_resolution,[],[f1926,f1836]) ).
fof(f1836,plain,
( p2(sK7(sK12(sK9(sK23))))
| ~ spl28_15
| ~ spl28_17
| ~ spl28_40 ),
inference(resolution,[],[f272,f1037]) ).
fof(f1037,plain,
( ! [X0] :
( ~ r1(sK9(sK23),X0)
| p2(sK7(X0)) )
| ~ spl28_15
| ~ spl28_40 ),
inference(resolution,[],[f382,f213]) ).
fof(f382,plain,
( ! [X0,X1] :
( ~ r1(sK23,X0)
| ~ r1(X0,X1)
| p2(sK7(X1)) )
| ~ spl28_40 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f272,plain,
( r1(sK9(sK23),sK12(sK9(sK23)))
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f1926,plain,
( ! [X0] :
( ~ sP0(X0)
| r1(sK9(sK23),sK13(sK9(sK23)))
| ~ r1(X0,sK9(sK23))
| ~ p2(sK7(sK12(sK9(sK23)))) )
| ~ spl28_15
| ~ spl28_17
| ~ spl28_43 ),
inference(resolution,[],[f1835,f72]) ).
fof(f72,plain,
! [X3,X0,X1] :
( ~ r1(sK12(X1),X3)
| r1(X1,sK13(X1))
| ~ sP0(X0)
| ~ p2(X3)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK12(X1),X3) )
& r1(X1,sK12(X1)) )
| ~ r1(X0,X1)
| ( ! [X5] :
( ~ r1(sK13(X1),X5)
| ( r1(sK14(X5),sK15(X5))
& p2(sK14(X5))
& r1(X5,sK14(X5)) ) )
& r1(X1,sK13(X1)) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f32,f36,f35,f34,f33]) ).
fof(f33,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK12(X1),X3) )
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( ? [X7] : r1(X6,X7)
& p2(X6)
& r1(X5,X6) ) )
& r1(X1,X4) )
=> ( ! [X5] :
( ~ r1(sK13(X1),X5)
| ? [X6] :
( ? [X7] : r1(X6,X7)
& p2(X6)
& r1(X5,X6) ) )
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X5] :
( ? [X6] :
( ? [X7] : r1(X6,X7)
& p2(X6)
& r1(X5,X6) )
=> ( ? [X7] : r1(sK14(X5),X7)
& p2(sK14(X5))
& r1(X5,sK14(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X5] :
( ? [X7] : r1(sK14(X5),X7)
=> r1(sK14(X5),sK15(X5)) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1)
| ? [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( ? [X7] : r1(X6,X7)
& p2(X6)
& r1(X5,X6) ) )
& r1(X1,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X15] :
( ! [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34) )
& r1(X32,X33) )
| ~ r1(X15,X32)
| ? [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| ? [X37] :
( ? [X38] : r1(X37,X38)
& p2(X37)
& r1(X36,X37) ) )
& r1(X32,X35) ) )
| ~ sP0(X15) ),
inference(nnf_transformation,[],[f9]) ).
fof(f1835,plain,
( r1(sK12(sK9(sK23)),sK7(sK12(sK9(sK23))))
| ~ spl28_15
| ~ spl28_17
| ~ spl28_43 ),
inference(resolution,[],[f272,f1041]) ).
fof(f1041,plain,
( ! [X0] :
( ~ r1(sK9(sK23),X0)
| r1(X0,sK7(X0)) )
| ~ spl28_15
| ~ spl28_43 ),
inference(resolution,[],[f411,f213]) ).
fof(f411,plain,
( ! [X0,X1] :
( ~ r1(sK23,X0)
| r1(X1,sK7(X1))
| ~ r1(X0,X1) )
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f2032,plain,
( ~ spl28_15
| ~ spl28_17
| ~ spl28_40
| ~ spl28_43
| ~ spl28_154 ),
inference(avatar_contradiction_clause,[],[f2031]) ).
fof(f2031,plain,
( $false
| ~ spl28_15
| ~ spl28_17
| ~ spl28_40
| ~ spl28_43
| ~ spl28_154 ),
inference(subsumption_resolution,[],[f2030,f1836]) ).
fof(f2030,plain,
( ~ p2(sK7(sK12(sK9(sK23))))
| ~ spl28_15
| ~ spl28_17
| ~ spl28_43
| ~ spl28_154 ),
inference(resolution,[],[f1660,f1835]) ).
fof(f1660,plain,
( ! [X4] :
( ~ r1(sK12(sK9(sK23)),X4)
| ~ p2(X4) )
| ~ spl28_154 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1659,plain,
( spl28_154
<=> ! [X4] :
( ~ p2(X4)
| ~ r1(sK12(sK9(sK23)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_154])]) ).
fof(f1720,plain,
( ~ spl28_15
| ~ spl28_157 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1719,plain,
( $false
| ~ spl28_15
| ~ spl28_157 ),
inference(subsumption_resolution,[],[f1718,f103]) ).
fof(f103,plain,
sP0(sK23),
inference(resolution,[],[f95,f82]) ).
fof(f95,plain,
! [X5] :
( ~ r1(sK16,X5)
| sP0(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1718,plain,
( ~ sP0(sK23)
| ~ spl28_15
| ~ spl28_157 ),
inference(resolution,[],[f1673,f213]) ).
fof(f1673,plain,
( ! [X1] :
( ~ r1(X1,sK9(sK23))
| ~ sP0(X1) )
| ~ spl28_157 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f1711,plain,
( ~ spl28_11
| spl28_69
| spl28_70
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f567,f211,f595,f592,f191]) ).
fof(f592,plain,
( spl28_69
<=> ! [X4] :
( ~ r1(sK9(sK23),X4)
| r1(X4,sK4(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_69])]) ).
fof(f567,plain,
( ! [X4,X5] :
( ~ r1(sK9(sK23),X5)
| p2(X5)
| r1(X4,sK4(X4))
| ~ r1(sK9(sK23),X4)
| ~ p2(sK9(sK23)) )
| ~ spl28_15 ),
inference(resolution,[],[f563,f213]) ).
fof(f563,plain,
! [X2,X0,X1] :
( ~ r1(sK23,X1)
| ~ r1(X1,X2)
| ~ r1(X1,X0)
| ~ p2(X1)
| r1(X2,sK4(X2))
| p2(X0) ),
inference(resolution,[],[f53,f99]) ).
fof(f53,plain,
! [X2,X0,X1,X5] :
( ~ sP3(X0)
| p2(X5)
| ~ r1(X0,X1)
| ~ r1(X1,X5)
| ~ r1(X1,X2)
| r1(X2,sK4(X2))
| ~ p2(X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f1710,plain,
( spl28_11
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f1709,f195,f191]) ).
fof(f195,plain,
( spl28_12
<=> r1(sK23,sK11(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f1709,plain,
( p2(sK9(sK23))
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f1708,f227]) ).
fof(f227,plain,
( p2(sK18(sK11(sK23)))
| ~ spl28_12 ),
inference(resolution,[],[f197,f107]) ).
fof(f197,plain,
( r1(sK23,sK11(sK23))
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f1708,plain,
( p2(sK9(sK23))
| ~ p2(sK18(sK11(sK23)))
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f231,f101]) ).
fof(f101,plain,
sP1(sK23),
inference(resolution,[],[f94,f82]) ).
fof(f94,plain,
! [X5] :
( ~ r1(sK16,X5)
| sP1(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f231,plain,
( p2(sK9(sK23))
| ~ sP1(sK23)
| ~ p2(sK18(sK11(sK23)))
| ~ spl28_12 ),
inference(resolution,[],[f226,f66]) ).
fof(f66,plain,
! [X0,X4] :
( ~ r1(sK11(X0),X4)
| ~ p2(X4)
| ~ sP1(X0)
| p2(sK9(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( p2(sK9(X0))
& r1(X0,sK9(X0))
& r1(sK9(X0),sK10(X0)) )
| ( r1(X0,sK11(X0))
& ! [X4] :
( ~ r1(sK11(X0),X4)
| ~ p2(X4) ) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f26,f29,f28,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& r1(X0,X1)
& ? [X2] : r1(X1,X2) )
=> ( p2(sK9(X0))
& r1(X0,sK9(X0))
& ? [X2] : r1(sK9(X0),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X2] : r1(sK9(X0),X2)
=> r1(sK9(X0),sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ~ p2(X4) ) )
=> ( r1(X0,sK11(X0))
& ! [X4] :
( ~ r1(sK11(X0),X4)
| ~ p2(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& r1(X0,X1)
& ? [X2] : r1(X1,X2) )
| ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ~ p2(X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X15] :
( ? [X28] :
( p2(X28)
& r1(X15,X28)
& ? [X29] : r1(X28,X29) )
| ? [X30] :
( r1(X15,X30)
& ! [X31] :
( ~ r1(X30,X31)
| ~ p2(X31) ) )
| ~ sP1(X15) ),
inference(nnf_transformation,[],[f10]) ).
fof(f226,plain,
( r1(sK11(sK23),sK18(sK11(sK23)))
| ~ spl28_12 ),
inference(resolution,[],[f197,f109]) ).
fof(f1701,plain,
( ~ spl28_15
| ~ spl28_70 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
fof(f1700,plain,
( $false
| ~ spl28_15
| ~ spl28_70 ),
inference(subsumption_resolution,[],[f1699,f213]) ).
fof(f1699,plain,
( ~ r1(sK23,sK9(sK23))
| ~ spl28_15
| ~ spl28_70 ),
inference(resolution,[],[f1698,f83]) ).
fof(f83,plain,
! [X14] :
( ~ p2(sK24(X14))
| ~ r1(sK23,X14) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1698,plain,
( p2(sK24(sK9(sK23)))
| ~ spl28_15
| ~ spl28_70 ),
inference(resolution,[],[f596,f259]) ).
fof(f259,plain,
( r1(sK9(sK23),sK24(sK9(sK23)))
| ~ spl28_15 ),
inference(resolution,[],[f213,f84]) ).
fof(f84,plain,
! [X14] :
( ~ r1(sK23,X14)
| r1(X14,sK24(X14)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f596,plain,
( ! [X5] :
( ~ r1(sK9(sK23),X5)
| p2(X5) )
| ~ spl28_70 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1682,plain,
( spl28_17
| spl28_153
| spl28_157
| ~ spl28_16
| ~ spl28_69 ),
inference(avatar_split_clause,[],[f1643,f592,f266,f1672,f1655,f270]) ).
fof(f1643,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK9(sK23))
| r1(sK4(sK13(sK9(sK23))),sK14(sK4(sK13(sK9(sK23)))))
| r1(sK9(sK23),sK12(sK9(sK23))) )
| ~ spl28_16
| ~ spl28_69 ),
inference(resolution,[],[f1350,f69]) ).
fof(f69,plain,
! [X0,X1,X5] :
( ~ r1(sK13(X1),X5)
| r1(X1,sK12(X1))
| r1(X5,sK14(X5))
| ~ sP0(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f1350,plain,
( r1(sK13(sK9(sK23)),sK4(sK13(sK9(sK23))))
| ~ spl28_16
| ~ spl28_69 ),
inference(resolution,[],[f593,f268]) ).
fof(f593,plain,
( ! [X4] :
( ~ r1(sK9(sK23),X4)
| r1(X4,sK4(X4)) )
| ~ spl28_69 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1680,plain,
( spl28_154
| spl28_158
| ~ spl28_15
| ~ spl28_16
| ~ spl28_69 ),
inference(avatar_split_clause,[],[f1679,f592,f266,f211,f1675,f1659]) ).
fof(f1679,plain,
( ! [X2] :
( p2(sK14(sK4(sK13(sK9(sK23)))))
| ~ p2(X2)
| ~ r1(sK12(sK9(sK23)),X2) )
| ~ spl28_15
| ~ spl28_16
| ~ spl28_69 ),
inference(subsumption_resolution,[],[f1647,f213]) ).
fof(f1647,plain,
( ! [X2] :
( ~ r1(sK12(sK9(sK23)),X2)
| p2(sK14(sK4(sK13(sK9(sK23)))))
| ~ r1(sK23,sK9(sK23))
| ~ p2(X2) )
| ~ spl28_16
| ~ spl28_69 ),
inference(resolution,[],[f1350,f547]) ).
fof(f547,plain,
! [X2,X0,X1] :
( ~ r1(sK13(X2),X1)
| ~ p2(X0)
| ~ r1(sK12(X2),X0)
| ~ r1(sK23,X2)
| p2(sK14(X1)) ),
inference(resolution,[],[f74,f103]) ).
fof(f74,plain,
! [X3,X0,X1,X5] :
( ~ sP0(X0)
| ~ p2(X3)
| p2(sK14(X5))
| ~ r1(sK13(X1),X5)
| ~ r1(sK12(X1),X3)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f1678,plain,
( spl28_157
| spl28_17
| spl28_158
| ~ spl28_16
| ~ spl28_69 ),
inference(avatar_split_clause,[],[f1644,f592,f266,f1675,f270,f1672]) ).
fof(f1644,plain,
( ! [X1] :
( p2(sK14(sK4(sK13(sK9(sK23)))))
| r1(sK9(sK23),sK12(sK9(sK23)))
| ~ r1(X1,sK9(sK23))
| ~ sP0(X1) )
| ~ spl28_16
| ~ spl28_69 ),
inference(resolution,[],[f1350,f70]) ).
fof(f70,plain,
! [X0,X1,X5] :
( ~ r1(sK13(X1),X5)
| ~ r1(X0,X1)
| ~ sP0(X0)
| r1(X1,sK12(X1))
| p2(sK14(X5)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f1661,plain,
( spl28_153
| spl28_154
| ~ spl28_15
| ~ spl28_16
| ~ spl28_69 ),
inference(avatar_split_clause,[],[f1653,f592,f266,f211,f1659,f1655]) ).
fof(f1653,plain,
( ! [X4] :
( ~ p2(X4)
| ~ r1(sK12(sK9(sK23)),X4)
| r1(sK4(sK13(sK9(sK23))),sK14(sK4(sK13(sK9(sK23))))) )
| ~ spl28_15
| ~ spl28_16
| ~ spl28_69 ),
inference(subsumption_resolution,[],[f1649,f213]) ).
fof(f1649,plain,
( ! [X4] :
( ~ r1(sK23,sK9(sK23))
| ~ p2(X4)
| r1(sK4(sK13(sK9(sK23))),sK14(sK4(sK13(sK9(sK23)))))
| ~ r1(sK12(sK9(sK23)),X4) )
| ~ spl28_16
| ~ spl28_69 ),
inference(resolution,[],[f1350,f676]) ).
fof(f676,plain,
! [X2,X0,X1] :
( ~ r1(sK13(X0),X2)
| ~ p2(X1)
| ~ r1(sK12(X0),X1)
| r1(X2,sK14(X2))
| ~ r1(sK23,X0) ),
inference(resolution,[],[f73,f103]) ).
fof(f73,plain,
! [X3,X0,X1,X5] :
( ~ sP0(X0)
| ~ r1(sK12(X1),X3)
| ~ p2(X3)
| ~ r1(X0,X1)
| ~ r1(sK13(X1),X5)
| r1(X5,sK14(X5)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f412,plain,
( spl28_39
| spl28_43 ),
inference(avatar_split_clause,[],[f407,f410,f377]) ).
fof(f407,plain,
! [X0,X1] :
( ~ r1(sK23,X0)
| ~ r1(X0,X1)
| r1(X1,sK7(X1))
| r1(sK23,sK6(sK23)) ),
inference(resolution,[],[f56,f105]) ).
fof(f56,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| ~ r1(X0,X3)
| r1(X4,sK7(X4))
| r1(X0,sK6(X0))
| ~ r1(X3,X4) ),
inference(cnf_transformation,[],[f24]) ).
fof(f383,plain,
( spl28_39
| spl28_40 ),
inference(avatar_split_clause,[],[f366,f381,f377]) ).
fof(f366,plain,
! [X0,X1] :
( ~ r1(sK23,X0)
| ~ r1(X0,X1)
| p2(sK7(X1))
| r1(sK23,sK6(sK23)) ),
inference(resolution,[],[f57,f105]) ).
fof(f57,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| ~ r1(X0,X3)
| p2(sK7(X4))
| ~ r1(X3,X4)
| r1(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f273,plain,
( spl28_16
| spl28_17
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f264,f211,f270,f266]) ).
fof(f264,plain,
( r1(sK9(sK23),sK12(sK9(sK23)))
| r1(sK9(sK23),sK13(sK9(sK23)))
| ~ spl28_15 ),
inference(resolution,[],[f260,f213]) ).
fof(f260,plain,
! [X0] :
( ~ r1(sK23,X0)
| r1(X0,sK12(X0))
| r1(X0,sK13(X0)) ),
inference(resolution,[],[f68,f103]) ).
fof(f68,plain,
! [X0,X1] :
( ~ sP0(X0)
| r1(X1,sK13(X1))
| ~ r1(X0,X1)
| r1(X1,sK12(X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f234,plain,
( spl28_15
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f233,f195,f211]) ).
fof(f233,plain,
( r1(sK23,sK9(sK23))
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f232,f101]) ).
fof(f232,plain,
( r1(sK23,sK9(sK23))
| ~ sP1(sK23)
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f230,f227]) ).
fof(f230,plain,
( ~ p2(sK18(sK11(sK23)))
| r1(sK23,sK9(sK23))
| ~ sP1(sK23)
| ~ spl28_12 ),
inference(resolution,[],[f226,f64]) ).
fof(f64,plain,
! [X0,X4] :
( ~ r1(sK11(X0),X4)
| ~ p2(X4)
| r1(X0,sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f214,plain,
( spl28_15
| spl28_12 ),
inference(avatar_split_clause,[],[f208,f195,f211]) ).
fof(f208,plain,
( r1(sK23,sK11(sK23))
| r1(sK23,sK9(sK23)) ),
inference(resolution,[],[f65,f101]) ).
fof(f65,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK11(X0))
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f198,plain,
( spl28_11
| spl28_12 ),
inference(avatar_split_clause,[],[f188,f195,f191]) ).
fof(f188,plain,
( r1(sK23,sK11(sK23))
| p2(sK9(sK23)) ),
inference(resolution,[],[f67,f101]) ).
fof(f67,plain,
! [X0] :
( ~ sP1(X0)
| p2(sK9(X0))
| r1(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL652+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 02:12:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.52/0.56 % (22766)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.52/0.56 % (22765)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.56 % (22774)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.52/0.57 % (22765)Instruction limit reached!
% 1.52/0.57 % (22765)------------------------------
% 1.52/0.57 % (22765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57 % (22781)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.77/0.57 % (22773)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.77/0.57 % (22766)Instruction limit reached!
% 1.77/0.57 % (22766)------------------------------
% 1.77/0.57 % (22766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.57 % (22766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.57 % (22766)Termination reason: Unknown
% 1.77/0.57 % (22766)Termination phase: Preprocessing 3
% 1.77/0.57
% 1.77/0.57 % (22766)Memory used [KB]: 1023
% 1.77/0.57 % (22766)Time elapsed: 0.004 s
% 1.77/0.57 % (22766)Instructions burned: 3 (million)
% 1.77/0.57 % (22766)------------------------------
% 1.77/0.57 % (22766)------------------------------
% 1.77/0.57 % (22782)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.77/0.58 % (22764)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.58 % (22765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58 % (22765)Termination reason: Unknown
% 1.77/0.58 % (22765)Termination phase: Saturation
% 1.77/0.58
% 1.77/0.58 % (22765)Memory used [KB]: 5628
% 1.77/0.58 % (22765)Time elapsed: 0.147 s
% 1.77/0.58 % (22765)Instructions burned: 7 (million)
% 1.77/0.58 % (22765)------------------------------
% 1.77/0.58 % (22765)------------------------------
% 1.77/0.58 TRYING [1]
% 1.77/0.59 TRYING [2]
% 1.77/0.59 TRYING [3]
% 1.77/0.59 % (22772)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.60 % (22780)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.77/0.61 TRYING [4]
% 1.77/0.62 % (22763)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.77/0.62 % (22761)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.62 % (22783)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.77/0.62 % (22760)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.77/0.63 % (22775)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.77/0.63 % (22771)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.77/0.63 % (22776)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.77/0.63 % (22777)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.77/0.63 % (22767)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.64 % (22768)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.64 % (22769)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.77/0.64 % (22779)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.77/0.64 % (22759)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.64 % (22759)Refutation not found, incomplete strategy% (22759)------------------------------
% 1.77/0.64 % (22759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.64 % (22759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.64 % (22759)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.64
% 1.77/0.64 % (22759)Memory used [KB]: 5500
% 1.77/0.64 % (22759)Time elapsed: 0.176 s
% 1.77/0.64 % (22759)Instructions burned: 5 (million)
% 1.77/0.64 % (22759)------------------------------
% 1.77/0.64 % (22759)------------------------------
% 1.77/0.64 TRYING [5]
% 1.77/0.64 % (22764)Instruction limit reached!
% 1.77/0.64 % (22764)------------------------------
% 1.77/0.64 % (22764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.64 % (22764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.64 % (22764)Termination reason: Unknown
% 1.77/0.64 % (22764)Termination phase: Finite model building constraint generation
% 1.77/0.64
% 1.77/0.64 % (22764)Memory used [KB]: 6652
% 1.77/0.64 % (22764)Time elapsed: 0.206 s
% 1.77/0.64 % (22764)Instructions burned: 52 (million)
% 1.77/0.64 % (22764)------------------------------
% 1.77/0.64 % (22764)------------------------------
% 1.77/0.65 % (22758)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.77/0.65 % (22762)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.65 % (22784)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.65 % (22785)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.77/0.65 % (22787)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.35/0.66 TRYING [1]
% 2.35/0.66 TRYING [2]
% 2.35/0.66 % (22786)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.35/0.67 % (22778)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.35/0.68 % (22773)Instruction limit reached!
% 2.35/0.68 % (22773)------------------------------
% 2.35/0.68 % (22773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68 % (22773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68 % (22773)Termination reason: Unknown
% 2.35/0.68 % (22773)Termination phase: Saturation
% 2.35/0.68
% 2.35/0.68 % (22773)Memory used [KB]: 1407
% 2.35/0.68 % (22773)Time elapsed: 0.239 s
% 2.35/0.68 % (22773)Instructions burned: 75 (million)
% 2.35/0.68 % (22773)------------------------------
% 2.35/0.68 % (22773)------------------------------
% 2.54/0.68 % (22770)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.54/0.68 TRYING [3]
% 2.54/0.69 TRYING [1]
% 2.54/0.69 TRYING [2]
% 2.54/0.70 TRYING [3]
% 2.54/0.71 TRYING [4]
% 2.54/0.71 % (22772)Instruction limit reached!
% 2.54/0.71 % (22772)------------------------------
% 2.54/0.71 % (22772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.71 % (22772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.71 % (22772)Termination reason: Unknown
% 2.54/0.71 % (22772)Termination phase: Saturation
% 2.54/0.71
% 2.54/0.71 % (22772)Memory used [KB]: 6268
% 2.54/0.71 % (22772)Time elapsed: 0.052 s
% 2.54/0.71 % (22772)Instructions burned: 68 (million)
% 2.54/0.71 % (22772)------------------------------
% 2.54/0.71 % (22772)------------------------------
% 2.54/0.71 % (22760)Instruction limit reached!
% 2.54/0.71 % (22760)------------------------------
% 2.54/0.71 % (22760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.71 % (22760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.71 % (22760)Termination reason: Unknown
% 2.54/0.71 % (22760)Termination phase: Saturation
% 2.54/0.71
% 2.54/0.71 % (22760)Memory used [KB]: 1279
% 2.54/0.71 % (22760)Time elapsed: 0.271 s
% 2.54/0.71 % (22760)Instructions burned: 37 (million)
% 2.54/0.71 % (22760)------------------------------
% 2.54/0.71 % (22760)------------------------------
% 2.54/0.72 % (22767)Instruction limit reached!
% 2.54/0.72 % (22767)------------------------------
% 2.54/0.72 % (22767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.72 % (22767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.72 % (22767)Termination reason: Unknown
% 2.54/0.72 % (22767)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (22767)Memory used [KB]: 1407
% 2.54/0.72 % (22767)Time elapsed: 0.248 s
% 2.54/0.72 % (22767)Instructions burned: 51 (million)
% 2.54/0.72 % (22767)------------------------------
% 2.54/0.72 % (22767)------------------------------
% 2.54/0.72 TRYING [4]
% 2.89/0.74 % (22775)Instruction limit reached!
% 2.89/0.74 % (22775)------------------------------
% 2.89/0.74 % (22775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.74 % (22775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.74 % (22775)Termination reason: Unknown
% 2.89/0.74 % (22775)Termination phase: Finite model building SAT solving
% 2.89/0.74
% 2.89/0.74 % (22775)Memory used [KB]: 6780
% 2.89/0.74 % (22775)Time elapsed: 0.228 s
% 2.89/0.74 % (22775)Instructions burned: 60 (million)
% 2.89/0.74 % (22775)------------------------------
% 2.89/0.74 % (22775)------------------------------
% 3.01/0.76 % (22763)Instruction limit reached!
% 3.01/0.76 % (22763)------------------------------
% 3.01/0.76 % (22763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.76 % (22763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.76 % (22763)Termination reason: Unknown
% 3.01/0.76 % (22763)Termination phase: Saturation
% 3.01/0.76
% 3.01/0.76 % (22763)Memory used [KB]: 7419
% 3.01/0.76 % (22763)Time elapsed: 0.331 s
% 3.01/0.76 % (22763)Instructions burned: 49 (million)
% 3.01/0.76 % (22763)------------------------------
% 3.01/0.76 % (22763)------------------------------
% 3.01/0.76 % (22761)Instruction limit reached!
% 3.01/0.76 % (22761)------------------------------
% 3.01/0.76 % (22761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.76 % (22761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.76 % (22761)Termination reason: Unknown
% 3.01/0.76 % (22761)Termination phase: Saturation
% 3.01/0.76
% 3.01/0.76 % (22761)Memory used [KB]: 7036
% 3.01/0.76 % (22761)Time elapsed: 0.333 s
% 3.01/0.76 % (22761)Instructions burned: 51 (million)
% 3.01/0.76 % (22761)------------------------------
% 3.01/0.76 % (22761)------------------------------
% 3.01/0.76 % (22781)First to succeed.
% 3.01/0.77 % (22768)Instruction limit reached!
% 3.01/0.77 % (22768)------------------------------
% 3.01/0.77 % (22768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.77 % (22768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.77 % (22768)Termination reason: Unknown
% 3.01/0.77 % (22768)Termination phase: Saturation
% 3.01/0.77
% 3.01/0.77 % (22768)Memory used [KB]: 8315
% 3.01/0.77 % (22768)Time elapsed: 0.337 s
% 3.01/0.77 % (22768)Instructions burned: 50 (million)
% 3.01/0.77 % (22768)------------------------------
% 3.01/0.77 % (22768)------------------------------
% 3.01/0.79 % (22781)Refutation found. Thanks to Tanya!
% 3.01/0.79 % SZS status Theorem for theBenchmark
% 3.01/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/0.79 % (22781)------------------------------
% 3.01/0.79 % (22781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.79 % (22781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.79 % (22781)Termination reason: Refutation
% 3.01/0.79
% 3.01/0.79 % (22781)Memory used [KB]: 7164
% 3.01/0.79 % (22781)Time elapsed: 0.329 s
% 3.01/0.79 % (22781)Instructions burned: 116 (million)
% 3.01/0.79 % (22781)------------------------------
% 3.01/0.79 % (22781)------------------------------
% 3.01/0.79 % (22727)Success in time 0.437 s
%------------------------------------------------------------------------------