%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG114+4 : 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 : n009.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 12:35:34 PM UTC 2026
% Result : Theorem 3.14s 1.32s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 310 ( 91 equ)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 395 ( 120 ~; 95 |; 159 &)
% ( 13 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 147 ( 91 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = X0 ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = X0 ) )
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = X0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f44,axiom,
? [X0] :
( ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 ) )
& ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = X0 )
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
fof(f45,axiom,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ( ( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = X0 )
| aElementOf0(X0,xI) )
& X0 != sz00 )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f47,conjecture,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f50,plain,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xa))
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xa,X4) = X3 ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xb))
<=> ? [X6] :
( aElement0(X6)
& sdtasdt0(xb,X6) = X5 ) )
& ! [X7] :
( aElementOf0(X7,xI)
<=> ? [X8,X9] :
( aElementOf0(X8,slsdtgt0(xa))
& aElementOf0(X9,slsdtgt0(xb))
& sdtpldt0(X8,X9) = X7 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(rectify,[],[f42]) ).
fof(f52,plain,
? [X0] :
( ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xb,X4) = X3 ) )
& ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X0 )
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
inference(rectify,[],[f44]) ).
fof(f53,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
| aElementOf0(X2,xI) )
& sz00 != X2 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) ) ),
inference(rectify,[],[f45]) ).
fof(f64,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xa))
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xa,X4) = X3 ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xb))
<=> ? [X6] :
( aElement0(X6)
& sdtasdt0(xb,X6) = X5 ) )
& ! [X7] :
( aElementOf0(X7,xI)
<=> ? [X8,X9] :
( aElementOf0(X8,slsdtgt0(xa))
& aElementOf0(X9,slsdtgt0(xb))
& sdtpldt0(X8,X9) = X7 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f65,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ! [X3,X4] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2 )
& ~ aElementOf0(X2,xI) )
| sz00 = X2 ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f66,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ! [X3,X4] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2 )
& ~ aElementOf0(X2,xI) )
| sz00 = X2 ) ),
inference(flattening,[],[f65]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f118,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xa))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xa,X4) != X3 ) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xa,X4) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xa)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(xb,X6) != X5 ) )
& ( ? [X6] :
( aElement0(X6)
& sdtasdt0(xb,X6) = X5 )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X7] :
( ( aElementOf0(X7,xI)
| ! [X8,X9] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| ~ aElementOf0(X9,slsdtgt0(xb))
| sdtpldt0(X8,X9) != X7 ) )
& ( ? [X8,X9] :
( aElementOf0(X8,slsdtgt0(xa))
& aElementOf0(X9,slsdtgt0(xb))
& sdtpldt0(X8,X9) = X7 )
| ~ aElementOf0(X7,xI) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(nnf_transformation,[],[f64]) ).
fof(f119,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xa))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xa,X4) != X3 ) )
& ( ? [X5] :
( aElement0(X5)
& sdtasdt0(xa,X5) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xa)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xb))
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(xb,X7) != X6 ) )
& ( ? [X8] :
( aElement0(X8)
& sdtasdt0(xb,X8) = X6 )
| ~ aElementOf0(X6,slsdtgt0(xb)) ) )
& ! [X9] :
( ( aElementOf0(X9,xI)
| ! [X10,X11] :
( ~ aElementOf0(X10,slsdtgt0(xa))
| ~ aElementOf0(X11,slsdtgt0(xb))
| sdtpldt0(X10,X11) != X9 ) )
& ( ? [X12,X13] :
( aElementOf0(X12,slsdtgt0(xa))
& aElementOf0(X13,slsdtgt0(xb))
& sdtpldt0(X12,X13) = X9 )
| ~ aElementOf0(X9,xI) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xa))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xa,X4) != X3 ) )
& ( ( aElement0(sK8(X3))
& sdtasdt0(xa,sK8(X3)) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xa)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xb))
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(xb,X7) != X6 ) )
& ( ( aElement0(sK9(X6))
& sdtasdt0(xb,sK9(X6)) = X6 )
| ~ aElementOf0(X6,slsdtgt0(xb)) ) )
& ! [X9] :
( ( aElementOf0(X9,xI)
| ! [X10,X11] :
( ~ aElementOf0(X10,slsdtgt0(xa))
| ~ aElementOf0(X11,slsdtgt0(xb))
| sdtpldt0(X10,X11) != X9 ) )
& ( ( aElementOf0(sK10(X9),slsdtgt0(xa))
& aElementOf0(sK11(X9),slsdtgt0(xb))
& sdtpldt0(sK10(X9),sK11(X9)) = X9 )
| ~ aElementOf0(X9,xI) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X5,sK8(X3)),skolemize(X8,sK9(X6)),skolemize(X12,sK10(X9)),skolemize(X13,sK11(X9))],[f119]) ).
fof(f122,plain,
? [X0] :
( ! [X1] :
( ( aElementOf0(X1,slsdtgt0(xa))
| ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xa,X2) != X1 ) )
& ( ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 )
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xb,X4) != X3 ) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xb,X4) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X0 )
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
inference(nnf_transformation,[],[f52]) ).
fof(f123,plain,
? [X0] :
( ! [X1] :
( ( aElementOf0(X1,slsdtgt0(xa))
| ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xa,X2) != X1 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X1 )
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X4] :
( ( aElementOf0(X4,slsdtgt0(xb))
| ! [X5] :
( ~ aElement0(X5)
| sdtasdt0(xb,X5) != X4 ) )
& ( ? [X6] :
( aElement0(X6)
& sdtasdt0(xb,X6) = X4 )
| ~ aElementOf0(X4,slsdtgt0(xb)) ) )
& ? [X7,X8] :
( aElementOf0(X7,slsdtgt0(xa))
& aElementOf0(X8,slsdtgt0(xb))
& sdtpldt0(X7,X8) = X0 )
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
( ! [X1] :
( ( aElementOf0(X1,slsdtgt0(xa))
| ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xa,X2) != X1 ) )
& ( ( aElement0(sK17(X1))
& sdtasdt0(xa,sK17(X1)) = X1 )
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X4] :
( ( aElementOf0(X4,slsdtgt0(xb))
| ! [X5] :
( ~ aElement0(X5)
| sdtasdt0(xb,X5) != X4 ) )
& ( ( aElement0(sK18(X4))
& sdtasdt0(xb,sK18(X4)) = X4 )
| ~ aElementOf0(X4,slsdtgt0(xb)) ) )
& aElementOf0(sK19,slsdtgt0(xa))
& aElementOf0(sK20,slsdtgt0(xb))
& sK16 = sdtpldt0(sK19,sK20)
& aElementOf0(sK16,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& sz00 != sK16 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20]),skolemize(X0,sK16),skolemize(X3,sK17(X1)),skolemize(X6,sK18(X4)),skolemize(X7,sK19),skolemize(X8,sK20)],[f123]) ).
fof(f125,plain,
( aElementOf0(sK21,slsdtgt0(xa))
& aElementOf0(sK22,slsdtgt0(xb))
& xu = sdtpldt0(sK21,sK22)
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ! [X3,X4] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2 )
& ~ aElementOf0(X2,xI) )
| sz00 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f66]) ).
fof(f181,plain,
! [X6] :
( sdtasdt0(xb,sK9(X6)) = X6
| ~ aElementOf0(X6,slsdtgt0(xb)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f182,plain,
! [X6] :
( ~ aElementOf0(X6,slsdtgt0(xb))
| aElement0(sK9(X6)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f211,plain,
! [X1] :
( sdtasdt0(xa,sK17(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f212,plain,
! [X1] :
( ~ aElementOf0(X1,slsdtgt0(xa))
| aElement0(sK17(X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f218,plain,
xu = sdtpldt0(sK21,sK22),
inference(cnf_transformation,[],[f125]) ).
fof(f219,plain,
aElementOf0(sK22,slsdtgt0(xb)),
inference(cnf_transformation,[],[f125]) ).
fof(f220,plain,
aElementOf0(sK21,slsdtgt0(xa)),
inference(cnf_transformation,[],[f125]) ).
fof(f227,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f507,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X1),X0)
| ~ aElement0(sK9(X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(superposition,[],[f227,f181]) ).
fof(f511,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X1),X0)
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(forward_subsumption_resolution,[],[f507,f182]) ).
fof(f1970,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElement0(sK17(X0))
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(superposition,[],[f511,f211]) ).
fof(f1993,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(forward_subsumption_resolution,[],[f1970,f212]) ).
fof(f2984,plain,
( xu != xu
| ~ aElementOf0(sK22,slsdtgt0(xb))
| ~ aElementOf0(sK21,slsdtgt0(xa)) ),
inference(superposition,[],[f1993,f218]) ).
fof(f2987,plain,
( ~ aElementOf0(sK22,slsdtgt0(xb))
| ~ aElementOf0(sK21,slsdtgt0(xa)) ),
inference(trivial_inequality_removal,[],[f2984]) ).
fof(f2988,plain,
~ aElementOf0(sK21,slsdtgt0(xa)),
inference(forward_subsumption_resolution,[],[f2987,f219]) ).
fof(f2991,plain,
$false,
inference(forward_subsumption_resolution,[],[f2988,f220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG114+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:20:08 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.14/1.32 % (2517958)Detected formulas, will run a generic FOF schedule.
% 3.14/1.32 % (2517963)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=680934612:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.14/1.32 % (2517965)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=3478375549:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.14/1.32 % (2517964)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=1005716320:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.14/1.32 % (2517966)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1592197098:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.14/1.32 % (2517967)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4257362018:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.14/1.32 % (2517969)dis-21_1_sil=8000:lcm=predicate:random_seed=1533546051: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)
% 3.14/1.32 % (2517968)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2462006059:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.14/1.32 % (2517967)First to succeed.
% 3.14/1.32 % (2517967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2517958"
% 3.14/1.32 % (2517966)Instruction limit reached!
% 3.14/1.32 % (2517966)------------------------------
% 3.14/1.32 % (2517966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.32 % (2517966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.32 % (2517966)CaDiCaL version: 2.1.3
% 3.14/1.32 % (2517966)Termination reason: Instruction limit
% 3.14/1.32 % (2517966)Termination phase: Saturation
% 3.14/1.32 % (2517966)Time elapsed: 0.071 s
% 3.14/1.32 % (2517966)Peak memory usage: 89 MB
% 3.14/1.32 % (2517966)Instructions burned: 110 (million)
% 3.14/1.32 % (2517969)Instruction limit reached!
% 3.14/1.32 % (2517969)------------------------------
% 3.14/1.32 % (2517969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.32 % (2517969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.32 % (2517969)CaDiCaL version: 2.1.3
% 3.14/1.32 % (2517969)Termination reason: Instruction limit
% 3.14/1.32 % (2517969)Termination phase: Saturation
% 3.14/1.32 % (2517969)Time elapsed: 0.058 s
% 3.14/1.32 % (2517969)Peak memory usage: 89 MB
% 3.14/1.32 % (2517969)Instructions burned: 130 (million)
% 3.14/1.32 % (2517968)Also succeeded, but the first one will report.
% 3.14/1.32 % (2517977)lrs+10_1_sil=8000:sp=occurrence:random_seed=3972188557:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.14/1.32 % (2517978)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2958068741:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.14/1.32 % (2517967)Refutation found. Thanks to Tanya!
% 3.14/1.32 % SZS status Theorem for theBenchmark
% 3.14/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.52 % (2517967)------------------------------
% 3.91/1.52 % (2517967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.52 % (2517967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.52 % (2517967)CaDiCaL version: 2.1.3
% 3.91/1.52 % (2517967)Termination reason: Refutation
% 3.91/1.52 % (2517967)Time elapsed: 0.053 s
% 3.91/1.52 % (2517967)Peak memory usage: 89 MB
% 3.91/1.52 % (2517967)Instructions burned: 87 (million)
% 3.91/1.52 % (2517967)------------------------------
% 3.91/1.52 % (2517967)------------------------------
% 3.91/1.52 % (2517958)Success in time 0.467 s
% 3.91/1.52 % Vampire exiting
%------------------------------------------------------------------------------