%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG092+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:28 PM UTC 2026
% Result : Theorem 2.53s 1.29s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 130 ( 24 unt; 15 def)
% Number of atoms : 569 ( 51 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 667 ( 228 ~; 228 |; 176 &)
% ( 24 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-5 aty)
% Number of variables : 233 ( 0 sgn 177 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
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(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f26,conjecture,
( ! [X0,X1,X2] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X2) )
=> ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& aElementOf0(X1,sdtpldt1(xI,xJ))
& aElement0(X2) )
=> ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f31,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f57]) ).
fof(f61,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f62,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ) ),
inference(flattening,[],[f62]) ).
fof(f64,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f65,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f66,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(definition_folding,[],[f58,f65,f64]) ).
fof(f67,definition,
! [X1,X3,X4,X2,X0] :
( ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) )
| ~ sP2(X1,X3,X4,X2,X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f68,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& sP2(X1,X3,X4,X2,X0) )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ) ),
inference(definition_folding,[],[f63,f67]) ).
fof(f70,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtpldt1(X0,X1)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtpldt1(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtpldt1(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != X3 )
| ~ aElementOf0(X3,X0) )
& ( ? [X6,X7] :
( aElementOf0(X6,X1)
& aElementOf0(X7,X2)
& sdtpldt0(X6,X7) = X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,X0)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8 ) )
& ( ? [X11,X12] :
( aElementOf0(X11,X1)
& aElementOf0(X12,X2)
& sdtpldt0(X11,X12) = X8 )
| ~ aElementOf0(X8,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != sK5(X0,X1,X2) )
| ~ aElementOf0(sK5(X0,X1,X2),X0) )
& ( ( aElementOf0(sK6(X0,X1,X2),X1)
& aElementOf0(sK7(X0,X1,X2),X2)
& sK5(X0,X1,X2) = sdtpldt0(sK6(X0,X1,X2),sK7(X0,X1,X2)) )
| aElementOf0(sK5(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,X0)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8 ) )
& ( ( aElementOf0(sK8(X1,X2,X8),X1)
& aElementOf0(sK9(X1,X2,X8),X2)
& sdtpldt0(sK8(X1,X2,X8),sK9(X1,X2,X8)) = X8 )
| ~ aElementOf0(X8,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2)),skolemize(X7,sK7(X0,X1,X2)),skolemize(X11,sK8(X1,X2,X8)),skolemize(X12,sK9(X1,X2,X8))],[f74]) ).
fof(f80,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f81,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0)
& aElementOf0(sK12(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0)
& aElement0(sK13(X0)) ) )
& aElementOf0(sK11(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0))],[f82]) ).
fof(f84,plain,
! [X1,X3,X4,X2,X0] :
( ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) )
| ~ sP2(X1,X3,X4,X2,X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& sdtpldt0(X5,X6) = X0
& aElementOf0(sdtpldt0(X1,X5),xI)
& aElementOf0(sdtpldt0(X2,X6),xJ)
& aElementOf0(sdtasdt0(X3,X1),xI)
& aElementOf0(sdtasdt0(X3,X2),xJ)
& sdtpldt0(X4,X0) = sdtpldt0(sdtpldt0(X1,X5),sdtpldt0(X2,X6))
& aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ)) )
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ( aElementOf0(sK14(X0,X1,X2,X3,X4),xI)
& aElementOf0(sK15(X0,X1,X2,X3,X4),xJ)
& sdtpldt0(sK14(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4)) = X0
& aElementOf0(sdtpldt0(X1,sK14(X0,X1,X2,X3,X4)),xI)
& aElementOf0(sdtpldt0(X2,sK15(X0,X1,X2,X3,X4)),xJ)
& aElementOf0(sdtasdt0(X3,X1),xI)
& aElementOf0(sdtasdt0(X3,X2),xJ)
& sdtpldt0(X4,X0) = sdtpldt0(sdtpldt0(X1,sK14(X0,X1,X2,X3,X4)),sdtpldt0(X2,sK15(X0,X1,X2,X3,X4)))
& aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ)) )
| ~ sP2(X0,X1,X2,X3,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X5,sK14(X0,X1,X2,X3,X4)),skolemize(X6,sK15(X0,X1,X2,X3,X4))],[f85]) ).
fof(f87,plain,
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ! [X0,X1,X2] :
( ( aElementOf0(sK16(X0,X1,X2),xI)
& aElementOf0(sK17(X0,X1,X2),xJ)
& sdtpldt0(sK16(X0,X1,X2),sK17(X0,X1,X2)) = X0
& sP2(X1,sK16(X0,X1,X2),sK17(X0,X1,X2),X2,X0) )
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X3,sK16(X0,X1,X2)),skolemize(X4,sK17(X0,X1,X2))],[f68]) ).
fof(f88,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f116,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt1(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f127,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f137,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK11(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK12(X0),X0)
| aElement0(sK13(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f140,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| aElementOf0(sK12(X0),X0)
| ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f141,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0)
| aElement0(sK13(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f142,plain,
! [X0] :
( aIdeal0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK11(X0),sK12(X0)),X0)
| ~ aElementOf0(sdtasdt0(sK13(X0),sK11(X0)),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f143,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f144,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtasdt0(X3,X4),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3,X4)
| aElementOf0(sdtpldt0(X4,X0),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sP2(X1,sK16(X0,X1,X2),sK17(X0,X1,X2),X2,X0)
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f159,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f87]) ).
fof(f160,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sdtpldt1(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f205,plain,
aSet0(xJ),
inference(resolution,[],[f137,f143]) ).
fof(f206,plain,
aSet0(xI),
inference(resolution,[],[f137,f144]) ).
fof(f236,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK11(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f138,f159]) ).
fof(f239,definition,
( spl19_1
<=> aElementOf0(sK11(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f240,plain,
( aElementOf0(sK11(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,definition,
( spl19_2
<=> aSet0(sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f243,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| spl19_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f236,f242,f239]) ).
fof(f256,plain,
! [X0,X1] :
( sP0(sdtpldt1(X0,X1),X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(resolution,[],[f160,f127]) ).
fof(f257,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| aElement0(sK13(sdtpldt1(xI,xJ))) ),
inference(resolution,[],[f139,f159]) ).
fof(f284,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(resolution,[],[f145,f155]) ).
fof(f286,definition,
( spl19_3
<=> ! [X2] : ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f287,plain,
( ! [X2] : ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,definition,
( spl19_4
<=> ! [X0,X1] :
( aElementOf0(sdtasdt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f290,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sdtasdt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) )
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f291,plain,
( spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f284,f289,f286]) ).
fof(f294,plain,
! [X2,X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ),
inference(resolution,[],[f146,f155]) ).
fof(f295,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK11(sdtpldt1(xI,xJ)),sK12(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| aElement0(sK13(sdtpldt1(xI,xJ))) ),
inference(resolution,[],[f141,f159]) ).
fof(f301,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK13(sdtpldt1(xI,xJ)),sK11(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f140,f159]) ).
fof(f345,plain,
( ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK11(sdtpldt1(xI,xJ)),sK12(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK13(sdtpldt1(xI,xJ)),sK11(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
inference(resolution,[],[f142,f159]) ).
fof(f403,plain,
! [X0,X1] :
( aSet0(sdtpldt1(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(resolution,[],[f256,f122]) ).
fof(f404,plain,
( ~ aSet0(xJ)
| ~ aSet0(xI)
| spl19_2 ),
inference(resolution,[],[f403,f243]) ).
fof(f407,definition,
( spl19_10
<=> aSet0(xI) ),
introduced(definition,[new_symbols(definition,[spl19_10])],[avatar_definition]) ).
fof(f408,plain,
( ~ aSet0(xI)
| spl19_10 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f410,definition,
( spl19_11
<=> aSet0(xJ) ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f411,plain,
( ~ aSet0(xJ)
| spl19_11 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( ~ spl19_10
| ~ spl19_11
| spl19_2 ),
inference(avatar_split_clause,[],[f404,f242,f410,f407]) ).
fof(f413,plain,
( $false
| spl19_10 ),
inference(resolution,[],[f408,f206]) ).
fof(f414,plain,
spl19_10,
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( $false
| spl19_11 ),
inference(resolution,[],[f411,f205]) ).
fof(f416,plain,
spl19_11,
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f418,definition,
( spl19_12
<=> aElement0(sK13(sdtpldt1(xI,xJ))) ),
introduced(definition,[new_symbols(definition,[spl19_12])],[avatar_definition]) ).
fof(f419,plain,
( aElement0(sK13(sdtpldt1(xI,xJ)))
| ~ spl19_12 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl19_13
<=> aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f423,plain,
( spl19_12
| spl19_13
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f257,f242,f421,f418]) ).
fof(f445,plain,
( $false
| ~ spl19_1
| ~ spl19_3 ),
inference(resolution,[],[f240,f287]) ).
fof(f446,plain,
( ~ spl19_1
| ~ spl19_3 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f448,definition,
( spl19_16
<=> ! [X2] : ~ aElement0(X2) ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f449,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,definition,
( spl19_17
<=> ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f452,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( spl19_16
| spl19_17 ),
inference(avatar_split_clause,[],[f294,f451,f448]) ).
fof(f455,definition,
( spl19_18
<=> aElementOf0(sdtasdt0(sK13(sdtpldt1(xI,xJ)),sK11(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).
fof(f456,plain,
( ~ aElementOf0(sdtasdt0(sK13(sdtpldt1(xI,xJ)),sK11(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| spl19_18 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( ~ spl19_18
| spl19_13
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f301,f242,f421,f455]) ).
fof(f459,definition,
( spl19_19
<=> aElementOf0(sdtpldt0(sK11(sdtpldt1(xI,xJ)),sK12(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f460,plain,
( ~ aElementOf0(sdtpldt0(sK11(sdtpldt1(xI,xJ)),sK12(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| spl19_19 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( ~ spl19_18
| ~ spl19_19
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f345,f242,f459,f455]) ).
fof(f464,plain,
( $false
| ~ spl19_16 ),
inference(resolution,[],[f449,f88]) ).
fof(f472,plain,
~ spl19_16,
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f559,plain,
( ! [X0] :
( aElementOf0(sdtasdt0(sK13(sdtpldt1(xI,xJ)),X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ spl19_4
| ~ spl19_12 ),
inference(resolution,[],[f290,f419]) ).
fof(f568,plain,
( ~ aElementOf0(sK11(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl19_4
| ~ spl19_12
| spl19_18 ),
inference(resolution,[],[f559,f456]) ).
fof(f569,plain,
( $false
| ~ spl19_1
| ~ spl19_4
| ~ spl19_12
| spl19_18 ),
inference(resolution,[],[f568,f240]) ).
fof(f572,plain,
( ~ spl19_1
| ~ spl19_4
| ~ spl19_12
| spl19_18 ),
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f581,plain,
( spl19_12
| ~ spl19_19
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f295,f242,f459,f418]) ).
fof(f582,plain,
( ~ aElementOf0(sK12(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0(sK11(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ spl19_17
| spl19_19 ),
inference(resolution,[],[f460,f452]) ).
fof(f589,plain,
( ~ spl19_1
| ~ spl19_13
| ~ spl19_17
| spl19_19 ),
inference(avatar_split_clause,[],[f582,f459,f451,f421,f239]) ).
cnf(s1,plain,
( spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f244]) ).
cnf(s2,plain,
( spl19_3
| spl19_4 ),
inference(sat_conversion,[],[f291]) ).
cnf(s5,plain,
( spl19_2
| ~ spl19_10
| ~ spl19_11 ),
inference(sat_conversion,[],[f412]) ).
cnf(s6,plain,
spl19_10,
inference(sat_conversion,[],[f414]) ).
cnf(s7,plain,
spl19_11,
inference(sat_conversion,[],[f416]) ).
cnf(s8,plain,
( ~ spl19_2
| spl19_12
| spl19_13 ),
inference(sat_conversion,[],[f423]) ).
cnf(s11,plain,
( ~ spl19_1
| ~ spl19_3 ),
inference(sat_conversion,[],[f446]) ).
cnf(s12,plain,
( spl19_16
| spl19_17 ),
inference(sat_conversion,[],[f453]) ).
cnf(s13,plain,
( ~ spl19_2
| spl19_13
| ~ spl19_18 ),
inference(sat_conversion,[],[f457]) ).
cnf(s14,plain,
( ~ spl19_2
| ~ spl19_18
| ~ spl19_19 ),
inference(sat_conversion,[],[f461]) ).
cnf(s17,plain,
~ spl19_16,
inference(sat_conversion,[],[f472]) ).
cnf(s32,plain,
( ~ spl19_1
| ~ spl19_4
| ~ spl19_12
| spl19_18 ),
inference(sat_conversion,[],[f572]) ).
cnf(s35,plain,
( ~ spl19_2
| spl19_12
| ~ spl19_19 ),
inference(sat_conversion,[],[f581]) ).
cnf(s38,plain,
( ~ spl19_1
| ~ spl19_13
| ~ spl19_17
| spl19_19 ),
inference(sat_conversion,[],[f589]) ).
cnf(s39,plain,
spl19_17,
inference(rat,[],[s12,s17]) ).
cnf(s40,plain,
spl19_2,
inference(rat,[],[s5,s7,s6]) ).
cnf(s41,plain,
spl19_1,
inference(rat,[],[s1,s40]) ).
cnf(s42,plain,
~ spl19_3,
inference(rat,[],[s11,s41]) ).
cnf(s43,plain,
spl19_4,
inference(rat,[],[s2,s42]) ).
cnf(s44,plain,
spl19_12,
inference(rat,[],[s38,s8,s35,s39,s41,s40]) ).
cnf(s45,plain,
spl19_18,
inference(rat,[],[s32,s43,s41,s44]) ).
cnf(s46,plain,
~ spl19_19,
inference(rat,[],[s14,s40,s45]) ).
cnf(s47,plain,
spl19_13,
inference(rat,[],[s13,s40,s45]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s38,s41,s39,s46,s47]) ).
fof(f590,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG092+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:13:31 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/1.29 % (2870399)Detected formulas, will run a generic FOF schedule.
% 2.53/1.29 % (2870408)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2372830894:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.53/1.29 % (2870409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3515928227:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.53/1.29 % (2870405)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4203444326:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.53/1.29 % (2870406)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3254520122:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.53/1.29 % (2870407)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2954989175:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.53/1.29 % (2870404)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3334089794:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.53/1.29 % (2870407)Refutation not found, incomplete strategy
% 2.53/1.29 % (2870407)------------------------------
% 2.53/1.29 % (2870407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (2870407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (2870407)CaDiCaL version: 2.1.3
% 2.53/1.29 % (2870407)Termination reason: Refutation not found, incomplete strategy
% 2.53/1.29 % (2870407)Time elapsed: 0.006 s
% 2.53/1.29 % (2870407)Peak memory usage: 88 MB
% 2.53/1.29 % (2870407)Instructions burned: 7 (million)
% 2.53/1.29 % (2870410)dis-21_1_sil=8000:lcm=predicate:random_seed=745175886:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.53/1.29 % (2870408)Instruction limit reached!
% 2.53/1.29 % (2870408)------------------------------
% 2.53/1.29 % (2870408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (2870408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (2870408)CaDiCaL version: 2.1.3
% 2.53/1.29 % (2870408)Termination reason: Instruction limit
% 2.53/1.29 % (2870408)Termination phase: Saturation
% 2.53/1.29 % (2870408)Time elapsed: 0.039 s
% 2.53/1.29 % (2870408)Peak memory usage: 88 MB
% 2.53/1.29 % (2870408)Instructions burned: 122 (million)
% 2.53/1.29 % (2870410)First to succeed.
% 2.53/1.29 % (2870410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2870399"
% 2.53/1.29 % (2870409)Instruction limit reached!
% 2.53/1.29 % (2870409)------------------------------
% 2.53/1.29 % (2870409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (2870409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (2870409)CaDiCaL version: 2.1.3
% 2.53/1.29 % (2870409)Termination reason: Instruction limit
% 2.53/1.29 % (2870409)Termination phase: Saturation
% 2.53/1.29 % (2870409)Time elapsed: 0.088 s
% 2.53/1.29 % (2870409)Peak memory usage: 90 MB
% 2.53/1.29 % (2870409)Instructions burned: 140 (million)
% 2.53/1.29 % (2870418)lrs+10_1_sil=8000:sp=occurrence:random_seed=2968242989:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.53/1.29 % (2870418)Also succeeded, but the first one will report.
% 2.53/1.29 % (2870419)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4211974319:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.53/1.29 % (2870407)------------------------------
% 2.53/1.29 % (2870407)------------------------------
% 2.53/1.29 % (2870410)Refutation found. Thanks to Tanya!
% 2.53/1.29 % SZS status Theorem for theBenchmark
% 2.53/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.49 % (2870410)------------------------------
% 3.60/1.49 % (2870410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.49 % (2870410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.49 % (2870410)CaDiCaL version: 2.1.3
% 3.60/1.49 % (2870410)Termination reason: Refutation
% 3.60/1.49 % (2870410)Time elapsed: 0.014 s
% 3.60/1.49 % (2870410)Peak memory usage: 89 MB
% 3.60/1.49 % (2870410)Instructions burned: 20 (million)
% 3.60/1.49 % (2870410)------------------------------
% 3.60/1.49 % (2870410)------------------------------
% 3.60/1.49 % (2870399)Success in time 0.428 s
% 3.60/1.49 % Vampire exiting
%------------------------------------------------------------------------------