%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG109+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:36:04 PM UTC 2026
% Result : Theorem 1.85s 0.78s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 137 ( 39 unt; 10 def)
% Number of atoms : 496 ( 115 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 566 ( 207 ~; 211 |; 116 &)
% ( 21 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-3 aty)
% Number of variables : 207 ( 0 sgn 162 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
! [X0] :
( aElement0(X0)
=> aIdeal0(slsdtgt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrIdeal) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f40,axiom,
( xa != sz00
| xb != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f43,axiom,
( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(f44,conjecture,
? [X0] :
( aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f49,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(f64,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f65,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f84,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,[],[f49]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f103,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f104,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| sz00 = X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f105,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(f106,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(f107,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(definition_folding,[],[f81,f106,f105]) ).
fof(f109,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,[],[f106]) ).
fof(f110,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,[],[f109]) ).
fof(f111,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,[],[f105]) ).
fof(f112,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,[],[f111]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != sK4(X0,X1,X2) )
| ~ aElementOf0(sK4(X0,X1,X2),X0) )
& ( ( aElementOf0(sK5(X0,X1,X2),X1)
& aElementOf0(sK6(X0,X1,X2),X2)
& sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2)) )
| aElementOf0(sK4(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,X0)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8 ) )
& ( ( aElementOf0(sK7(X1,X2,X8),X1)
& aElementOf0(sK8(X1,X2,X8),X2)
& sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8 )
| ~ aElementOf0(X8,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X6,sK5(X0,X1,X2)),skolemize(X7,sK6(X0,X1,X2)),skolemize(X11,sK7(X1,X2,X8)),skolemize(X12,sK8(X1,X2,X8))],[f113]) ).
fof(f119,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,[],[f84]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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,[],[f120]) ).
fof(f122,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
& aElementOf0(sK11(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
& aElement0(sK12(X0)) ) )
& aElementOf0(sK10(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,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0))],[f121]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5 ) )
& ( ? [X7] :
( aElement0(X7)
& sdtasdt0(X0,X7) = X5 )
| ~ aElementOf0(X5,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK19(X0,X1) )
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ( aElement0(sK20(X0,X1))
& sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1)) )
| aElementOf0(sK19(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5 ) )
& ( ( aElement0(sK21(X0,X5))
& sdtasdt0(X0,sK21(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X0,X1)),skolemize(X4,sK20(X0,X1)),skolemize(X7,sK21(X0,X5))],[f139]) ).
fof(f142,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f149,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f150,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f169,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt1(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f174,plain,
! [X2,X10,X0,X1,X8,X9] :
( aElementOf0(X8,X0)
| ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f180,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f190,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f226,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f230,plain,
! [X0] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f231,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f232,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f233,plain,
( sz00 != xa
| sz00 != xb ),
inference(cnf_transformation,[],[f40]) ).
fof(f235,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f237,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f238,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f239,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f240,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f241,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| sz00 = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f242,plain,
! [X0,X1] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f169]) ).
fof(f243,plain,
! [X2,X10,X0,X1,X9] :
( aElementOf0(sdtpldt0(X9,X10),X0)
| ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| ~ sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f174]) ).
fof(f249,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(equality_resolution,[],[f226]) ).
fof(f254,definition,
sF22 = slsdtgt0(xa),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f255,plain,
slsdtgt0(xa) = sF22,
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
sF23 = slsdtgt0(xb),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f257,plain,
slsdtgt0(xb) = sF23,
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
sF24 = sdtpldt1(sF22,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f259,plain,
sdtpldt1(sF22,sF23) = sF24,
inference(reorient_equations,[],[f258]) ).
fof(f260,plain,
! [X0] :
( ~ aElementOf0(X0,sF24)
| sz00 = X0 ),
inference(definition_folding,[],[f241,f259,f257,f255]) ).
fof(f262,definition,
( spl25_1
<=> sz00 = xb ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f264,plain,
( sz00 != xb
| spl25_1 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,definition,
( spl25_2
<=> sz00 = xa ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f268,plain,
( sz00 != xa
| spl25_2 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f269,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f233,f266,f262]) ).
fof(f271,plain,
aElementOf0(sz00,sF22),
inference(superposition,[],[f240,f255]) ).
fof(f272,plain,
aElementOf0(xa,sF22),
inference(superposition,[],[f239,f255]) ).
fof(f273,plain,
aElementOf0(sz00,sF23),
inference(superposition,[],[f238,f257]) ).
fof(f274,plain,
aElementOf0(xb,sF23),
inference(superposition,[],[f237,f257]) ).
fof(f277,plain,
( aIdeal0(sF23)
| ~ aElement0(xb) ),
inference(superposition,[],[f230,f257]) ).
fof(f278,plain,
aIdeal0(sF23),
inference(forward_subsumption_resolution,[],[f277,f231]) ).
fof(f280,plain,
aSet0(sF23),
inference(resolution,[],[f278,f190]) ).
fof(f284,plain,
aSet0(slsdtgt0(xa)),
inference(resolution,[],[f249,f232]) ).
fof(f287,plain,
aSet0(sF22),
inference(forward_demodulation,[],[f284,f255]) ).
fof(f290,plain,
xI = sdtpldt1(slsdtgt0(xa),sF23),
inference(superposition,[],[f235,f257]) ).
fof(f291,plain,
xI = sdtpldt1(sF22,sF23),
inference(forward_demodulation,[],[f290,f255]) ).
fof(f297,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f148,f231]) ).
fof(f301,plain,
xa = sdtpldt0(xa,sz00),
inference(resolution,[],[f149,f232]) ).
fof(f309,plain,
xI = sF24,
inference(superposition,[],[f259,f291]) ).
fof(f315,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(superposition,[],[f260,f309]) ).
fof(f355,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(resolution,[],[f150,f142]) ).
fof(f419,plain,
( sP0(xI,slsdtgt0(xa),slsdtgt0(xb))
| ~ sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
inference(superposition,[],[f242,f235]) ).
fof(f420,plain,
( sP0(xI,slsdtgt0(xa),sF23)
| ~ sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
inference(forward_demodulation,[],[f419,f257]) ).
fof(f423,definition,
( spl25_3
<=> sP1(sF23,sF22) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f425,plain,
( ~ sP1(sF23,sF22)
| spl25_3 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f427,definition,
( spl25_4
<=> sP0(xI,sF22,sF23) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f429,plain,
( sP0(xI,sF22,sF23)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f431,plain,
( sP0(xI,sF22,sF23)
| ~ sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
inference(forward_demodulation,[],[f420,f255]) ).
fof(f433,plain,
( ~ sP1(slsdtgt0(xb),sF22)
| sP0(xI,sF22,sF23) ),
inference(forward_demodulation,[],[f431,f255]) ).
fof(f434,plain,
( ~ sP1(sF23,sF22)
| sP0(xI,sF22,sF23) ),
inference(forward_demodulation,[],[f433,f257]) ).
fof(f435,plain,
( spl25_4
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f434,f423,f427]) ).
fof(f436,plain,
( ~ aSet0(sF22)
| ~ aSet0(sF23)
| spl25_3 ),
inference(resolution,[],[f425,f180]) ).
fof(f437,plain,
( ~ aSet0(sF23)
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f436,f287]) ).
fof(f438,plain,
( $false
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f437,f280]) ).
fof(f439,plain,
spl25_3,
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f964,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X2,X3)
| ~ sP0(xI,X1,X3)
| sz00 = sdtpldt0(X0,X2) ),
inference(resolution,[],[f243,f315]) ).
fof(f988,plain,
! [X2,X3,X0,X1] :
( ~ sP0(xI,X1,X3)
| ~ aElementOf0(X0,X1)
| ~ aElementOf0(X2,X3)
| sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(X0,X2) ),
inference(forward_demodulation,[],[f964,f355]) ).
fof(f994,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,sF23)
| ~ aElementOf0(X0,sF22)
| sdtpldt0(X0,X1) = sdtpldt0(smndt0(sz10),sz10) )
| ~ spl25_4 ),
inference(resolution,[],[f988,f429]) ).
fof(f1004,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF22)
| sdtpldt0(X0,sz00) = sdtpldt0(smndt0(sz10),sz10) )
| ~ spl25_4 ),
inference(resolution,[],[f994,f273]) ).
fof(f1005,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF22)
| sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(X0,xb) )
| ~ spl25_4 ),
inference(resolution,[],[f994,f274]) ).
fof(f1015,plain,
( ! [X0] :
( ~ aElementOf0(X0,sF22)
| sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz10)) )
| ~ spl25_4 ),
inference(forward_demodulation,[],[f1004,f355]) ).
fof(f1050,plain,
( sdtpldt0(sz00,xb) = sdtpldt0(smndt0(sz10),sz10)
| ~ spl25_4 ),
inference(resolution,[],[f1005,f271]) ).
fof(f1063,plain,
( sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),xb)
| ~ spl25_4 ),
inference(forward_demodulation,[],[f1050,f355]) ).
fof(f1309,plain,
( sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(xa,sdtpldt0(smndt0(sz10),sz10))
| ~ spl25_4 ),
inference(resolution,[],[f1015,f272]) ).
fof(f1507,definition,
( spl25_26
<=> xa = sdtpldt0(smndt0(sz10),sz10) ),
introduced(definition,[new_symbols(definition,[spl25_26])],[avatar_definition]) ).
fof(f1509,plain,
( xa = sdtpldt0(smndt0(sz10),sz10)
| ~ spl25_26 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f2168,plain,
xb = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),xb),
inference(superposition,[],[f297,f355]) ).
fof(f2170,plain,
xa = sdtpldt0(xa,sdtpldt0(smndt0(sz10),sz10)),
inference(superposition,[],[f301,f355]) ).
fof(f2179,plain,
( xa = sdtpldt0(smndt0(sz10),sz10)
| ~ spl25_4 ),
inference(forward_demodulation,[],[f2170,f1309]) ).
fof(f2180,plain,
( xb = sdtpldt0(smndt0(sz10),sz10)
| ~ spl25_4 ),
inference(forward_demodulation,[],[f2168,f1063]) ).
fof(f2183,plain,
( spl25_26
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f2179,f427,f1507]) ).
fof(f2190,plain,
( sz00 != sdtpldt0(smndt0(sz10),sz10)
| spl25_1
| ~ spl25_4 ),
inference(superposition,[],[f264,f2180]) ).
fof(f2251,plain,
( $false
| spl25_1
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f2190,f355]) ).
fof(f2252,plain,
( spl25_1
| ~ spl25_4 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2260,plain,
( sz00 != sdtpldt0(smndt0(sz10),sz10)
| spl25_2
| ~ spl25_26 ),
inference(forward_demodulation,[],[f268,f1509]) ).
fof(f2262,plain,
( $false
| spl25_2
| ~ spl25_26 ),
inference(forward_subsumption_resolution,[],[f2260,f355]) ).
fof(f2263,plain,
( spl25_2
| ~ spl25_26 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
cnf(s1,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(sat_conversion,[],[f269]) ).
cnf(s4,plain,
( ~ spl25_3
| spl25_4 ),
inference(sat_conversion,[],[f435]) ).
cnf(s5,plain,
spl25_3,
inference(sat_conversion,[],[f439]) ).
cnf(s24,plain,
( ~ spl25_4
| spl25_26 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s25,plain,
( spl25_1
| ~ spl25_4 ),
inference(sat_conversion,[],[f2252]) ).
cnf(s26,plain,
( spl25_2
| ~ spl25_26 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s27,plain,
spl25_4,
inference(rat,[],[s4,s5]) ).
cnf(s28,plain,
spl25_1,
inference(rat,[],[s25,s27]) ).
cnf(s29,plain,
spl25_26,
inference(rat,[],[s24,s27]) ).
cnf(s31,plain,
spl25_2,
inference(rat,[],[s26,s29]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s1,s31,s28]) ).
fof(f2265,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG109+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n007.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 23:16:55 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.85/0.78 % (1882430)Will run a generic schedule for satisfiability detection.
% 1.85/0.78 % (1882438)dis+10_1_sil=32000:sp=arity:random_seed=3692586241:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.85/0.78 % (1882436)% WARNING: option uhcvi not known.
% 1.85/0.78 % (1882435)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1211812643_2999 on theBenchmark for (2999ds/0Mi)
% 1.85/0.78 % (1882436)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2780252370:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.85/0.78 % (1882437)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1141526221:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.85/0.78 % (1882439)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=506370069:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.85/0.78 % (1882441)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1736373626:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.85/0.78 % (1882440)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1068652625:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.85/0.78 % TRYING [1]
% 1.85/0.78 % TRYING [2]
% 1.85/0.78 % TRYING [3]
% 1.85/0.78 % (1882438)Instruction limit reached!
% 1.85/0.78 % (1882438)------------------------------
% 1.85/0.78 % (1882438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882438)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882438)Termination reason: Instruction limit
% 1.85/0.78 % (1882438)Termination phase: Saturation
% 1.85/0.78 % (1882438)Time elapsed: 0.034 s
% 1.85/0.78 % (1882438)Peak memory usage: 13 MB
% 1.85/0.78 % (1882438)Instructions burned: 103 (million)
% 1.85/0.78 % TRYING [4]
% 1.85/0.78 % (1882449)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=449694148:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.85/0.78 % TRYING [1]
% 1.85/0.78 % TRYING [2]
% 1.85/0.78 % TRYING [3]
% 1.85/0.78 % TRYING [4]
% 1.85/0.78 % (1882439)Instruction limit reached!
% 1.85/0.78 % (1882439)------------------------------
% 1.85/0.78 % (1882439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882439)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882439)Termination reason: Instruction limit
% 1.85/0.78 % (1882439)Termination phase: Saturation
% 1.85/0.78 % (1882439)Time elapsed: 0.069 s
% 1.85/0.78 % (1882439)Peak memory usage: 13 MB
% 1.85/0.78 % (1882439)Instructions burned: 117 (million)
% 1.85/0.78 % (1882440)Instruction limit reached!
% 1.85/0.78 % (1882440)------------------------------
% 1.85/0.78 % (1882440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882440)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882440)Termination reason: Instruction limit
% 1.85/0.78 % (1882440)Termination phase: Saturation
% 1.85/0.78 % (1882440)Time elapsed: 0.070 s
% 1.85/0.78 % (1882440)Peak memory usage: 13 MB
% 1.85/0.78 % (1882440)Instructions burned: 131 (million)
% 1.85/0.78 % (1882451)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=523943439:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.85/0.78 % (1882452)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2290270399:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.85/0.78 % TRYING [5]
% 1.85/0.78 % (1882441)Instruction limit reached!
% 1.85/0.78 % (1882441)------------------------------
% 1.85/0.78 % (1882441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882441)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882441)Termination reason: Instruction limit
% 1.85/0.78 % (1882441)Termination phase: Saturation
% 1.85/0.78 % (1882441)Time elapsed: 0.105 s
% 1.85/0.78 % (1882441)Peak memory usage: 15 MB
% 1.85/0.78 % (1882441)Instructions burned: 160 (million)
% 1.85/0.78 % (1882455)ott-21_1_sil=16000:fs=off:random_seed=1202590893:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.85/0.78 % TRYING [5]
% 1.85/0.78 % (1882451)Instruction limit reached!
% 1.85/0.78 % (1882451)------------------------------
% 1.85/0.78 % (1882451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882451)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882451)Termination reason: Instruction limit
% 1.85/0.78 % (1882451)Termination phase: Saturation
% 1.85/0.78 % (1882451)Time elapsed: 0.069 s
% 1.85/0.78 % (1882451)Peak memory usage: 12 MB
% 1.85/0.78 % (1882451)Instructions burned: 132 (million)
% 1.85/0.78 % (1882457)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1944603142:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.85/0.78 % (1882449)Instruction limit reached!
% 1.85/0.78 % (1882449)------------------------------
% 1.85/0.78 % (1882449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882449)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882449)Termination reason: Instruction limit
% 1.85/0.78 % (1882449)Termination phase: Finite model building SAT solving
% 1.85/0.78 % (1882449)Time elapsed: 0.172 s
% 1.85/0.78 % (1882449)Peak memory usage: 30 MB
% 1.85/0.78 % (1882449)Instructions burned: 717 (million)
% 1.85/0.78 % (1882459)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2951027400:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.85/0.78 % TRYING [1]
% 1.85/0.78 % TRYING [2]
% 1.85/0.78 % TRYING [3]
% 1.85/0.78 % (1882455)Instruction limit reached!
% 1.85/0.78 % (1882455)------------------------------
% 1.85/0.78 % (1882455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.78 % (1882455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.78 % (1882455)CaDiCaL version: 2.1.3
% 1.85/0.78 % (1882455)Termination reason: Instruction limit
% 1.85/0.78 % (1882455)Termination phase: Saturation
% 1.85/0.78 % (1882455)Time elapsed: 0.112 s
% 1.85/0.78 % (1882455)Peak memory usage: 13 MB
% 1.85/0.78 % (1882455)Instructions burned: 181 (million)
% 1.85/0.78 % (1882461)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3425682393:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.85/0.78 % TRYING [4]
% 1.85/0.78 % TRYING [6]
% 1.85/0.78 % (1882461) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1882430-1882461"...
% 1.85/0.78 % (1882461)...printing done.
% 1.85/0.78 % (1882461)Refutation found. Thanks to Tanya!
% 1.85/0.78 % SZS status Theorem for theBenchmark
% 1.85/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.79 % (1882461)------------------------------
% 1.85/0.79 % (1882461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.79 % (1882461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.79 % (1882461)CaDiCaL version: 2.1.3
% 1.85/0.79 % (1882461)Termination reason: Refutation
% 1.85/0.79 % (1882461)Time elapsed: 0.065 s
% 1.85/0.79 % (1882461)Peak memory usage: 14 MB
% 1.85/0.79 % (1882461)Instructions burned: 107 (million)
% 1.85/0.79 % (1882430)Success in time 0.363 s
% 1.85/0.79 % Vampire exiting
%------------------------------------------------------------------------------