TSTP Solution File: RNG092+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG092+1 : 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 : 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 18:14:55 EDT 2022
% Result : Theorem 1.90s 0.59s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 98 ( 12 unt; 0 def)
% Number of atoms : 594 ( 72 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 706 ( 210 ~; 214 |; 237 &)
% ( 23 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 228 ( 148 !; 80 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1642,plain,
$false,
inference(avatar_sat_refutation,[],[f188,f195,f325,f344,f346,f378,f386,f421,f748,f779,f941,f961,f1270,f1631]) ).
fof(f1631,plain,
( ~ spl15_66
| ~ spl15_65
| ~ spl15_2
| spl15_117 ),
inference(avatar_split_clause,[],[f1628,f1267,f186,f741,f745]) ).
fof(f745,plain,
( spl15_66
<=> aElementOf0(sK14(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f741,plain,
( spl15_65
<=> aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f186,plain,
( spl15_2
<=> ! [X2,X0] :
( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f1267,plain,
( spl15_117
<=> aElementOf0(sdtpldt0(sK12(sdtpldt1(xI,xJ)),sK14(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).
fof(f1628,plain,
( ~ aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK14(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_2
| spl15_117 ),
inference(resolution,[],[f1269,f187]) ).
fof(f187,plain,
( ! [X2,X0] :
( aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) )
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1269,plain,
( ~ aElementOf0(sdtpldt0(sK12(sdtpldt1(xI,xJ)),sK14(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| spl15_117 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1270,plain,
( ~ spl15_18
| ~ spl15_117
| spl15_30
| ~ spl15_65
| ~ spl15_50
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f1262,f193,f613,f741,f375,f1267,f266]) ).
fof(f266,plain,
( spl15_18
<=> aSet0(sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f375,plain,
( spl15_30
<=> aIdeal0(sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f613,plain,
( spl15_50
<=> aElement0(sK13(sdtpldt1(xI,xJ))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f193,plain,
( spl15_4
<=> ! [X0,X1] :
( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f1262,plain,
( ~ aElement0(sK13(sdtpldt1(xI,xJ)))
| ~ aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK12(sdtpldt1(xI,xJ)),sK14(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ spl15_4 ),
inference(resolution,[],[f165,f194]) ).
fof(f194,plain,
( ! [X0,X1] :
( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X1) )
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f165,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK13(X0),sK12(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK12(X0),sK14(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) )
& ( aIdeal0(X0)
| ( aElementOf0(sK12(X0),X0)
& ( ( aElement0(sK13(X0))
& ~ aElementOf0(sdtasdt0(sK13(X0),sK12(X0)),X0) )
| ( ~ aElementOf0(sdtpldt0(sK12(X0),sK14(X0)),X0)
& aElementOf0(sK14(X0),X0) ) ) )
| ~ aSet0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f99,f102,f101,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X4] :
( aElementOf0(X4,X0)
& ( ? [X5] :
( aElement0(X5)
& ~ aElementOf0(sdtasdt0(X5,X4),X0) )
| ? [X6] :
( ~ aElementOf0(sdtpldt0(X4,X6),X0)
& aElementOf0(X6,X0) ) ) )
=> ( aElementOf0(sK12(X0),X0)
& ( ? [X5] :
( aElement0(X5)
& ~ aElementOf0(sdtasdt0(X5,sK12(X0)),X0) )
| ? [X6] :
( ~ aElementOf0(sdtpldt0(sK12(X0),X6),X0)
& aElementOf0(X6,X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ? [X5] :
( aElement0(X5)
& ~ aElementOf0(sdtasdt0(X5,sK12(X0)),X0) )
=> ( aElement0(sK13(X0))
& ~ aElementOf0(sdtasdt0(sK13(X0),sK12(X0)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ? [X6] :
( ~ aElementOf0(sdtpldt0(sK12(X0),X6),X0)
& aElementOf0(X6,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK12(X0),sK14(X0)),X0)
& aElementOf0(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) )
& ( aIdeal0(X0)
| ? [X4] :
( aElementOf0(X4,X0)
& ( ? [X5] :
( aElement0(X5)
& ~ aElementOf0(sdtasdt0(X5,X4),X0) )
| ? [X6] :
( ~ aElementOf0(sdtpldt0(X4,X6),X0)
& aElementOf0(X6,X0) ) ) )
| ~ aSet0(X0) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) )
& ( aIdeal0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) ) ) )
| ~ aSet0(X0) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) )
& ( aIdeal0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) ) ) )
| ~ aSet0(X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) )
& aSet0(X0) )
<=> aIdeal0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f961,plain,
( ~ spl15_18
| spl15_30
| spl15_50
| spl15_66 ),
inference(avatar_split_clause,[],[f960,f745,f613,f375,f266]) ).
fof(f960,plain,
( aElement0(sK13(sdtpldt1(xI,xJ)))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| spl15_66 ),
inference(resolution,[],[f747,f166]) ).
fof(f166,plain,
! [X0] :
( aElementOf0(sK14(X0),X0)
| aElement0(sK13(X0))
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f747,plain,
( ~ aElementOf0(sK14(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| spl15_66 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f941,plain,
( ~ spl15_18
| spl15_30
| spl15_65 ),
inference(avatar_split_clause,[],[f940,f741,f375,f266]) ).
fof(f940,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| spl15_65 ),
inference(resolution,[],[f743,f168]) ).
fof(f168,plain,
! [X0] :
( aElementOf0(sK12(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f743,plain,
( ~ aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| spl15_65 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f779,plain,
( spl15_66
| ~ spl15_18
| ~ spl15_65
| spl15_30
| ~ spl15_50
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f776,f193,f613,f375,f741,f266,f745]) ).
fof(f776,plain,
( ~ aElement0(sK13(sdtpldt1(xI,xJ)))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK14(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_4 ),
inference(resolution,[],[f164,f194]) ).
fof(f164,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK13(X0),sK12(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0)
| aElementOf0(sK14(X0),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f748,plain,
( ~ spl15_65
| spl15_50
| spl15_30
| ~ spl15_18
| ~ spl15_66
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f739,f186,f745,f266,f375,f613,f741]) ).
fof(f739,plain,
( ~ aElementOf0(sK14(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| aElement0(sK13(sdtpldt1(xI,xJ)))
| ~ aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl15_2 ),
inference(resolution,[],[f167,f187]) ).
fof(f167,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(sK12(X0),sK14(X0)),X0)
| aIdeal0(X0)
| ~ aSet0(X0)
| aElement0(sK13(X0)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f421,plain,
~ spl15_30,
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl15_30 ),
inference(resolution,[],[f377,f124]) ).
fof(f124,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ! [X0,X1,X2] :
( ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ( aElementOf0(sK2(X0,X1,X2),xJ)
& sdtpldt0(sK1(X0,X1,X2),sK2(X0,X1,X2)) = X0
& aElementOf0(sK1(X0,X1,X2),xI)
& aElementOf0(sdtasdt0(X1,sK1(X0,X1,X2)),xI)
& sdtpldt0(sdtpldt0(sK1(X0,X1,X2),sK3(X0,X1,X2)),sdtpldt0(sK2(X0,X1,X2),sK4(X0,X1,X2))) = sdtpldt0(X0,X2)
& aElementOf0(sdtpldt0(sK1(X0,X1,X2),sK3(X0,X1,X2)),xI)
& aElementOf0(sdtpldt0(sK2(X0,X1,X2),sK4(X0,X1,X2)),xJ)
& aElementOf0(sK3(X0,X1,X2),xI)
& aElementOf0(sK4(X0,X1,X2),xJ)
& aElementOf0(sdtasdt0(X1,sK2(X0,X1,X2)),xJ)
& sdtpldt0(sK3(X0,X1,X2),sK4(X0,X1,X2)) = X2
& aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f79,f81,f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X0
& aElementOf0(X3,xI)
& ? [X5,X6] :
( aElementOf0(sdtasdt0(X1,X3),xI)
& sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6)) = sdtpldt0(X0,X2)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& aElementOf0(sdtasdt0(X1,X4),xJ)
& sdtpldt0(X5,X6) = X2
& aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) ) )
=> ( aElementOf0(sK2(X0,X1,X2),xJ)
& sdtpldt0(sK1(X0,X1,X2),sK2(X0,X1,X2)) = X0
& aElementOf0(sK1(X0,X1,X2),xI)
& ? [X6,X5] :
( aElementOf0(sdtasdt0(X1,sK1(X0,X1,X2)),xI)
& sdtpldt0(sdtpldt0(sK1(X0,X1,X2),X5),sdtpldt0(sK2(X0,X1,X2),X6)) = sdtpldt0(X0,X2)
& aElementOf0(sdtpldt0(sK1(X0,X1,X2),X5),xI)
& aElementOf0(sdtpldt0(sK2(X0,X1,X2),X6),xJ)
& aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& aElementOf0(sdtasdt0(X1,sK2(X0,X1,X2)),xJ)
& sdtpldt0(X5,X6) = X2
& aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X6,X5] :
( aElementOf0(sdtasdt0(X1,sK1(X0,X1,X2)),xI)
& sdtpldt0(sdtpldt0(sK1(X0,X1,X2),X5),sdtpldt0(sK2(X0,X1,X2),X6)) = sdtpldt0(X0,X2)
& aElementOf0(sdtpldt0(sK1(X0,X1,X2),X5),xI)
& aElementOf0(sdtpldt0(sK2(X0,X1,X2),X6),xJ)
& aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& aElementOf0(sdtasdt0(X1,sK2(X0,X1,X2)),xJ)
& sdtpldt0(X5,X6) = X2
& aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) )
=> ( aElementOf0(sdtasdt0(X1,sK1(X0,X1,X2)),xI)
& sdtpldt0(sdtpldt0(sK1(X0,X1,X2),sK3(X0,X1,X2)),sdtpldt0(sK2(X0,X1,X2),sK4(X0,X1,X2))) = sdtpldt0(X0,X2)
& aElementOf0(sdtpldt0(sK1(X0,X1,X2),sK3(X0,X1,X2)),xI)
& aElementOf0(sdtpldt0(sK2(X0,X1,X2),sK4(X0,X1,X2)),xJ)
& aElementOf0(sK3(X0,X1,X2),xI)
& aElementOf0(sK4(X0,X1,X2),xJ)
& aElementOf0(sdtasdt0(X1,sK2(X0,X1,X2)),xJ)
& sdtpldt0(sK3(X0,X1,X2),sK4(X0,X1,X2)) = X2
& aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ! [X0,X1,X2] :
( ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X0
& aElementOf0(X3,xI)
& ? [X5,X6] :
( aElementOf0(sdtasdt0(X1,X3),xI)
& sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6)) = sdtpldt0(X0,X2)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& aElementOf0(sdtasdt0(X1,X4),xJ)
& sdtpldt0(X5,X6) = X2
& aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ)) ) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
( ! [X1,X0,X2] :
( ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ? [X3,X4] :
( aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X1
& aElementOf0(X3,xI)
& ? [X6,X5] :
( aElementOf0(sdtasdt0(X0,X3),xI)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X3,X6),sdtpldt0(X4,X5))
& aElementOf0(sdtpldt0(X3,X6),xI)
& aElementOf0(sdtpldt0(X4,X5),xJ)
& aElementOf0(X6,xI)
& aElementOf0(X5,xJ)
& aElementOf0(sdtasdt0(X0,X4),xJ)
& sdtpldt0(X6,X5) = X2
& aElementOf0(sdtasdt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) ) )
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X2,X1] :
( ? [X3,X4] :
( aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X1
& aElementOf0(X3,xI)
& ? [X6,X5] :
( aElementOf0(sdtasdt0(X0,X3),xI)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X3,X6),sdtpldt0(X4,X5))
& aElementOf0(sdtpldt0(X3,X6),xI)
& aElementOf0(sdtpldt0(X4,X5),xJ)
& aElementOf0(X6,xI)
& aElementOf0(X5,xJ)
& aElementOf0(sdtasdt0(X0,X4),xJ)
& sdtpldt0(X6,X5) = X2
& aElementOf0(sdtasdt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) ) )
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
~ ( ! [X0,X2,X1] :
( ( aElementOf0(X2,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X0) )
=> ? [X3,X4] :
( aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X1
& aElementOf0(X3,xI)
& ? [X6,X5] :
( aElementOf0(sdtasdt0(X0,X3),xI)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X3,X6),sdtpldt0(X4,X5))
& aElementOf0(sdtpldt0(X3,X6),xI)
& aElementOf0(sdtpldt0(X4,X5),xJ)
& aElementOf0(X6,xI)
& aElementOf0(X5,xJ)
& aElementOf0(sdtasdt0(X0,X4),xJ)
& sdtpldt0(X6,X5) = X2
& aElementOf0(sdtasdt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ( ! [X2,X0,X1] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X2) )
=> ? [X3,X4] :
( ? [X6,X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(X6,xJ)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(X5,xI)
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X5,X6) = X1
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) )
& sdtpldt0(X3,X4) = X0
& aElementOf0(X3,xI)
& aElementOf0(X4,xJ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
( ! [X2,X0,X1] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X2) )
=> ? [X3,X4] :
( ? [X6,X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(X6,xJ)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(X5,xI)
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& sdtpldt0(X5,X6) = X1
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtasdt0(X2,X4),xJ)
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) )
& sdtpldt0(X3,X4) = X0
& aElementOf0(X3,xI)
& aElementOf0(X4,xJ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f377,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f386,plain,
( ~ spl15_14
| ~ spl15_10
| spl15_18 ),
inference(avatar_split_clause,[],[f385,f266,f235,f251]) ).
fof(f251,plain,
( spl15_14
<=> aSet0(xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f235,plain,
( spl15_10
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f385,plain,
( ~ aSet0(xI)
| ~ aSet0(xJ)
| spl15_18 ),
inference(resolution,[],[f268,f176]) ).
fof(f176,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt1(X0,X1) != X2
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ( aElementOf0(sK7(X0,X1,X3),X1)
& aElementOf0(sK8(X0,X1,X3),X0)
& sdtpldt0(sK8(X0,X1,X3),sK7(X0,X1,X3)) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X6,X7] :
( ~ aElementOf0(X6,X1)
| ~ aElementOf0(X7,X0)
| sdtpldt0(X7,X6) != X3 ) ) ) )
| sdtpldt1(X0,X1) != X2 )
& ( sdtpldt1(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK9(X0,X1,X2),X2)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X0)
| sK9(X0,X1,X2) != sdtpldt0(X10,X9) ) )
& ( aElementOf0(sK9(X0,X1,X2),X2)
| ( aElementOf0(sK10(X0,X1,X2),X1)
& aElementOf0(sK11(X0,X1,X2),X0)
& sdtpldt0(sK11(X0,X1,X2),sK10(X0,X1,X2)) = sK9(X0,X1,X2) ) ) ) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f90,f93,f92,f91]) ).
fof(f91,plain,
! [X0,X1,X3] :
( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
=> ( aElementOf0(sK7(X0,X1,X3),X1)
& aElementOf0(sK8(X0,X1,X3),X0)
& sdtpldt0(sK8(X0,X1,X3),sK7(X0,X1,X3)) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X8] :
( ( ~ aElementOf0(X8,X2)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X0)
| sdtpldt0(X10,X9) != X8 ) )
& ( aElementOf0(X8,X2)
| ? [X11,X12] :
( aElementOf0(X11,X1)
& aElementOf0(X12,X0)
& sdtpldt0(X12,X11) = X8 ) ) )
=> ( ( ~ aElementOf0(sK9(X0,X1,X2),X2)
| ! [X10,X9] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X0)
| sK9(X0,X1,X2) != sdtpldt0(X10,X9) ) )
& ( aElementOf0(sK9(X0,X1,X2),X2)
| ? [X12,X11] :
( aElementOf0(X11,X1)
& aElementOf0(X12,X0)
& sdtpldt0(X12,X11) = sK9(X0,X1,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ? [X12,X11] :
( aElementOf0(X11,X1)
& aElementOf0(X12,X0)
& sdtpldt0(X12,X11) = sK9(X0,X1,X2) )
=> ( aElementOf0(sK10(X0,X1,X2),X1)
& aElementOf0(sK11(X0,X1,X2),X0)
& sdtpldt0(sK11(X0,X1,X2),sK10(X0,X1,X2)) = sK9(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X6,X7] :
( ~ aElementOf0(X6,X1)
| ~ aElementOf0(X7,X0)
| sdtpldt0(X7,X6) != X3 ) ) ) )
| sdtpldt1(X0,X1) != X2 )
& ( sdtpldt1(X0,X1) = X2
| ~ aSet0(X2)
| ? [X8] :
( ( ~ aElementOf0(X8,X2)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X0)
| sdtpldt0(X10,X9) != X8 ) )
& ( aElementOf0(X8,X2)
| ? [X11,X12] :
( aElementOf0(X11,X1)
& aElementOf0(X12,X0)
& sdtpldt0(X12,X11) = X8 ) ) ) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X0)
| sdtpldt0(X5,X4) != X3 ) ) ) )
| sdtpldt1(X0,X1) != X2 )
& ( sdtpldt1(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X0)
| sdtpldt0(X5,X4) != X3 ) )
& ( aElementOf0(X3,X2)
| ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 ) ) ) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( ( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X0)
| sdtpldt0(X5,X4) != X3 ) ) ) )
| sdtpldt1(X0,X1) != X2 )
& ( sdtpldt1(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X0)
| sdtpldt0(X5,X4) != X3 ) )
& ( aElementOf0(X3,X2)
| ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 ) ) ) ) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
<=> aElementOf0(X3,X2) ) )
<=> sdtpldt1(X0,X1) = X2 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
<=> aElementOf0(X3,X2) ) )
<=> sdtpldt1(X0,X1) = X2 )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ? [X4,X5] :
( aElementOf0(X4,X1)
& aElementOf0(X5,X0)
& sdtpldt0(X5,X4) = X3 )
<=> aElementOf0(X3,X2) ) )
<=> sdtpldt1(X0,X1) = X2 ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( sdtpldt1(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X5,X4] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
fof(f268,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| spl15_18 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f378,plain,
( spl15_30
| ~ spl15_18
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f371,f190,f266,f375]) ).
fof(f190,plain,
( spl15_3
<=> ! [X2] : ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f371,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ spl15_3 ),
inference(resolution,[],[f168,f191]) ).
fof(f191,plain,
( ! [X2] : ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f346,plain,
spl15_14,
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| spl15_14 ),
inference(resolution,[],[f253,f198]) ).
fof(f198,plain,
aSet0(xJ),
inference(resolution,[],[f169,f106]) ).
fof(f106,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f169,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f253,plain,
( ~ aSet0(xJ)
| spl15_14 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f344,plain,
spl15_10,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| spl15_10 ),
inference(resolution,[],[f237,f199]) ).
fof(f199,plain,
aSet0(xI),
inference(resolution,[],[f169,f107]) ).
fof(f107,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f237,plain,
( ~ aSet0(xI)
| spl15_10 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f325,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl15_1 ),
inference(resolution,[],[f184,f111]) ).
fof(f111,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f184,plain,
( ! [X1] : ~ aElement0(X1)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl15_1
<=> ! [X1] : ~ aElement0(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f195,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f126,f193,f190]) ).
fof(f126,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f188,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f125,f186,f183]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 12:02:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (28481)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)
% 0.19/0.46 % (28497)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)
% 0.19/0.48 % (28489)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)
% 0.19/0.48 % (28489)Instruction limit reached!
% 0.19/0.48 % (28489)------------------------------
% 0.19/0.48 % (28489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (28489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (28489)Termination reason: Unknown
% 0.19/0.48 % (28489)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (28489)Memory used [KB]: 6140
% 0.19/0.48 % (28489)Time elapsed: 0.103 s
% 0.19/0.48 % (28489)Instructions burned: 8 (million)
% 0.19/0.48 % (28489)------------------------------
% 0.19/0.48 % (28489)------------------------------
% 0.19/0.49 % (28475)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)
% 0.19/0.49 % (28483)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)
% 0.19/0.50 % (28484)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)
% 0.19/0.50 % (28500)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)
% 0.19/0.50 % (28481)Instruction limit reached!
% 0.19/0.50 % (28481)------------------------------
% 0.19/0.50 % (28481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28481)Termination reason: Unknown
% 0.19/0.50 % (28481)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (28481)Memory used [KB]: 7036
% 0.19/0.50 % (28481)Time elapsed: 0.109 s
% 0.19/0.50 % (28481)Instructions burned: 39 (million)
% 0.19/0.50 % (28481)------------------------------
% 0.19/0.50 % (28481)------------------------------
% 0.19/0.50 % (28478)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)
% 0.19/0.50 % (28479)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)
% 0.19/0.50 % (28475)Instruction limit reached!
% 0.19/0.50 % (28475)------------------------------
% 0.19/0.50 % (28475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28491)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (28497)Instruction limit reached!
% 0.19/0.51 % (28497)------------------------------
% 0.19/0.51 % (28497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28497)Termination reason: Unknown
% 0.19/0.51 % (28497)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (28497)Memory used [KB]: 2302
% 0.19/0.51 % (28497)Time elapsed: 0.129 s
% 0.19/0.51 % (28497)Instructions burned: 45 (million)
% 0.19/0.51 % (28497)------------------------------
% 0.19/0.51 % (28497)------------------------------
% 0.19/0.51 % (28491)Instruction limit reached!
% 0.19/0.51 % (28491)------------------------------
% 0.19/0.51 % (28491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28491)Termination reason: Unknown
% 0.19/0.51 % (28491)Termination phase: Finite model building preprocessing
% 0.19/0.51
% 0.19/0.51 % (28491)Memory used [KB]: 1535
% 0.19/0.51 % (28491)Time elapsed: 0.003 s
% 0.19/0.51 % (28491)Instructions burned: 5 (million)
% 0.19/0.51 % (28491)------------------------------
% 0.19/0.51 % (28491)------------------------------
% 0.19/0.51 % (28475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28475)Termination reason: Unknown
% 0.19/0.51 % (28475)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (28475)Memory used [KB]: 6268
% 0.19/0.51 % (28475)Time elapsed: 0.116 s
% 0.19/0.51 % (28475)Instructions burned: 14 (million)
% 0.19/0.51 % (28475)------------------------------
% 0.19/0.51 % (28475)------------------------------
% 0.19/0.51 % (28480)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)
% 0.19/0.51 % (28476)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)
% 0.19/0.51 % (28488)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)
% 0.19/0.51 % (28474)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (28482)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)
% 0.19/0.52 % (28502)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)
% 0.19/0.52 % (28483)Instruction limit reached!
% 0.19/0.52 % (28483)------------------------------
% 0.19/0.52 % (28483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28495)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)
% 0.19/0.52 % (28501)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)
% 0.19/0.52 % (28496)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)
% 0.19/0.52 % (28483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28483)Termination reason: Unknown
% 0.19/0.52 % (28483)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28483)Memory used [KB]: 6652
% 0.19/0.52 % (28483)Time elapsed: 0.114 s
% 0.19/0.52 % (28483)Instructions burned: 33 (million)
% 0.19/0.52 % (28483)------------------------------
% 0.19/0.52 % (28483)------------------------------
% 0.19/0.52 % (28498)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)
% 0.19/0.52 % (28484)Instruction limit reached!
% 0.19/0.52 % (28484)------------------------------
% 0.19/0.52 % (28484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28484)Termination reason: Unknown
% 0.19/0.52 % (28484)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28484)Memory used [KB]: 6268
% 0.19/0.52 % (28484)Time elapsed: 0.140 s
% 0.19/0.52 % (28484)Instructions burned: 13 (million)
% 0.19/0.52 % (28484)------------------------------
% 0.19/0.52 % (28484)------------------------------
% 0.19/0.52 % (28494)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)
% 0.19/0.53 % (28478)Instruction limit reached!
% 0.19/0.53 % (28478)------------------------------
% 0.19/0.53 % (28478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28478)Termination reason: Unknown
% 0.19/0.53 % (28478)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (28478)Memory used [KB]: 6140
% 0.19/0.53 % (28478)Time elapsed: 0.122 s
% 0.19/0.53 % (28478)Instructions burned: 13 (million)
% 0.19/0.53 % (28478)------------------------------
% 0.19/0.53 % (28478)------------------------------
% 0.19/0.53 % (28477)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)
% 0.19/0.53 % (28493)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)
% 0.19/0.53 % (28488)Instruction limit reached!
% 0.19/0.53 % (28488)------------------------------
% 0.19/0.53 % (28488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28488)Termination reason: Unknown
% 0.19/0.53 % (28488)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (28488)Memory used [KB]: 6012
% 0.19/0.53 % (28488)Time elapsed: 0.005 s
% 0.19/0.53 % (28488)Instructions burned: 5 (million)
% 0.19/0.53 % (28488)------------------------------
% 0.19/0.53 % (28488)------------------------------
% 0.19/0.53 % (28502)Refutation not found, incomplete strategy% (28502)------------------------------
% 0.19/0.53 % (28502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28486)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)
% 0.19/0.53 % (28479)Instruction limit reached!
% 0.19/0.53 % (28479)------------------------------
% 0.19/0.53 % (28479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28493)Refutation not found, incomplete strategy% (28493)------------------------------
% 0.19/0.53 % (28493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28503)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)
% 0.19/0.53 % (28476)Instruction limit reached!
% 0.19/0.53 % (28476)------------------------------
% 0.19/0.53 % (28476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28487)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)
% 0.19/0.53 % (28486)Refutation not found, incomplete strategy% (28486)------------------------------
% 0.19/0.53 % (28486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28486)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (28486)Memory used [KB]: 1663
% 0.19/0.53 % (28486)Time elapsed: 0.153 s
% 0.19/0.53 % (28486)Instructions burned: 5 (million)
% 0.19/0.53 % (28486)------------------------------
% 0.19/0.53 % (28486)------------------------------
% 0.19/0.53 % (28492)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)
% 0.19/0.53 % (28476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28476)Termination reason: Unknown
% 0.19/0.53 % (28476)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (28476)Memory used [KB]: 1535
% 0.19/0.53 % (28476)Time elapsed: 0.005 s
% 0.19/0.53 % (28476)Instructions burned: 4 (million)
% 0.19/0.53 % (28476)------------------------------
% 0.19/0.53 % (28476)------------------------------
% 0.19/0.53 % (28502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28502)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (28502)Memory used [KB]: 6140
% 0.19/0.53 % (28502)Time elapsed: 0.139 s
% 0.19/0.53 % (28502)Instructions burned: 6 (million)
% 0.19/0.53 % (28502)------------------------------
% 0.19/0.53 % (28502)------------------------------
% 0.19/0.53 % (28492)Instruction limit reached!
% 0.19/0.53 % (28492)------------------------------
% 0.19/0.53 % (28492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (28485)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)
% 0.19/0.54 % (28490)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)
% 0.19/0.54 % (28499)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)
% 0.19/0.54 % (28492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28492)Termination reason: Unknown
% 0.19/0.54 % (28492)Termination phase: SInE selection
% 0.19/0.54
% 0.19/0.54 % (28492)Memory used [KB]: 1407
% 0.19/0.54 % (28492)Time elapsed: 0.003 s
% 0.19/0.54 % (28492)Instructions burned: 2 (million)
% 0.19/0.54 % (28492)------------------------------
% 0.19/0.54 % (28492)------------------------------
% 0.19/0.54 % (28493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28493)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (28493)Memory used [KB]: 6140
% 0.19/0.54 % (28493)Time elapsed: 0.150 s
% 0.19/0.54 % (28493)Instructions burned: 6 (million)
% 0.19/0.54 % (28493)------------------------------
% 0.19/0.54 % (28493)------------------------------
% 0.19/0.55 % (28479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28479)Termination reason: Unknown
% 0.19/0.55 % (28479)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (28479)Memory used [KB]: 1663
% 0.19/0.55 % (28479)Time elapsed: 0.136 s
% 0.19/0.55 % (28479)Instructions burned: 15 (million)
% 0.19/0.55 % (28479)------------------------------
% 0.19/0.55 % (28479)------------------------------
% 0.19/0.55 % (28485)Instruction limit reached!
% 0.19/0.55 % (28485)------------------------------
% 0.19/0.55 % (28485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28485)Termination reason: Unknown
% 0.19/0.55 % (28485)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (28485)Memory used [KB]: 6140
% 0.19/0.55 % (28485)Time elapsed: 0.159 s
% 0.19/0.55 % (28485)Instructions burned: 7 (million)
% 0.19/0.55 % (28485)------------------------------
% 0.19/0.55 % (28485)------------------------------
% 0.19/0.56 % (28503)Instruction limit reached!
% 0.19/0.56 % (28503)------------------------------
% 0.19/0.56 % (28503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (28501)Instruction limit reached!
% 0.19/0.57 % (28501)------------------------------
% 0.19/0.57 % (28501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (28544)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 (2998ds/92Mi)
% 0.19/0.57 % (28494)Instruction limit reached!
% 0.19/0.57 % (28494)------------------------------
% 0.19/0.57 % (28494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (28496)First to succeed.
% 0.19/0.58 % (28503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (28503)Termination reason: Unknown
% 0.19/0.58 % (28503)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (28503)Memory used [KB]: 6396
% 0.19/0.58 % (28503)Time elapsed: 0.166 s
% 0.19/0.58 % (28503)Instructions burned: 25 (million)
% 0.19/0.58 % (28503)------------------------------
% 0.19/0.58 % (28503)------------------------------
% 0.19/0.58 % (28501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (28501)Termination reason: Unknown
% 0.19/0.58 % (28501)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (28501)Memory used [KB]: 6396
% 0.19/0.58 % (28501)Time elapsed: 0.181 s
% 0.19/0.58 % (28501)Instructions burned: 26 (million)
% 0.19/0.58 % (28501)------------------------------
% 0.19/0.58 % (28501)------------------------------
% 1.90/0.58 % (28480)Instruction limit reached!
% 1.90/0.58 % (28480)------------------------------
% 1.90/0.58 % (28480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.58 % (28480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.58 % (28480)Termination reason: Unknown
% 1.90/0.58 % (28480)Termination phase: Saturation
% 1.90/0.58
% 1.90/0.58 % (28480)Memory used [KB]: 6396
% 1.90/0.58 % (28480)Time elapsed: 0.158 s
% 1.90/0.59 % (28480)Instructions burned: 39 (million)
% 1.90/0.59 % (28480)------------------------------
% 1.90/0.59 % (28480)------------------------------
% 1.90/0.59 % (28496)Refutation found. Thanks to Tanya!
% 1.90/0.59 % SZS status Theorem for theBenchmark
% 1.90/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.59 % (28496)------------------------------
% 1.90/0.59 % (28496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.59 % (28496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.59 % (28496)Termination reason: Refutation
% 1.90/0.59
% 1.90/0.59 % (28496)Memory used [KB]: 7036
% 1.90/0.59 % (28496)Time elapsed: 0.159 s
% 1.90/0.59 % (28496)Instructions burned: 32 (million)
% 1.90/0.59 % (28496)------------------------------
% 1.90/0.59 % (28496)------------------------------
% 1.90/0.59 % (28473)Success in time 0.237 s
%------------------------------------------------------------------------------