%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM545+2 : 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 12:15:41 PM UTC 2026
% Result : Theorem 2.49s 1.30s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 10 unt; 1 def)
% Number of atoms : 253 ( 18 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 300 ( 94 ~; 71 |; 110 &)
% ( 11 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 79 ( 65 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f55,axiom,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
fof(f56,axiom,
( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
& xS = slcrc0 )
=> ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).
fof(f57,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) )
| aSubsetOf0(xS,slbdtrb0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) )
| aSubsetOf0(xS,slbdtrb0(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f59,plain,
( ~ ( ~ ? [X0] : aElementOf0(X0,xS)
& xS = slcrc0 )
=> ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X3] :
( aElementOf0(X3,xS)
=> aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
inference(rectify,[],[f56]) ).
fof(f60,plain,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X0)) )
| aSubsetOf0(xS,slbdtrb0(X0)) ) ) ),
inference(rectify,[],[f58]) ).
fof(f67,plain,
( aSet0(xS)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f68,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ( ! [X0] : ~ aElementOf0(X0,xS)
& xS = slcrc0 ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f69,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f70,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) ) ) ) ),
inference(flattening,[],[f69]) ).
fof(f79,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f112,definition,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f113,plain,
( sP0
| ( ! [X0] : ~ aElementOf0(X0,xS)
& xS = slcrc0 ) ),
inference(definition_folding,[],[f68,f112]) ).
fof(f114,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
inference(nnf_transformation,[],[f112]) ).
fof(f115,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X0] :
( sdtlseqdt0(X0,szmzazxdt0(xS))
| ~ aElementOf0(X0,xS) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0) )
& ( ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) ) ) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f118,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0) )
& ( ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),X0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) ) ) ) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ? [X1] :
( ~ aElementOf0(X1,slbdtrb0(X0))
& aElementOf0(X1,xS) )
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(X0))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,slbdtrb0(X0)) ) ) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ~ aElementOf0(sK1(X0),slbdtrb0(X0))
& aElementOf0(sK1(X0),xS)
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& aSet0(slbdtrb0(X0))
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(X0))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,slbdtrb0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f119]) ).
fof(f125,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f126,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK3(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f127]) ).
fof(f147,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f67]) ).
fof(f149,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sP0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f156,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ sP0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f157,plain,
( slcrc0 = xS
| sP0 ),
inference(cnf_transformation,[],[f113]) ).
fof(f163,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f164,plain,
! [X0] :
( aElementOf0(sK1(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f175,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f212,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f213,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f220,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f175]) ).
fof(f239,plain,
! [X0] :
( aElementOf0(sK1(X0),slcrc0)
| ~ aElementOf0(X0,szNzAzT0)
| sP0 ),
inference(superposition,[],[f164,f157]) ).
fof(f241,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP0 ),
inference(forward_subsumption_resolution,[],[f239,f220]) ).
fof(f245,plain,
sP0,
inference(resolution,[],[f241,f213]) ).
fof(f255,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(forward_subsumption_resolution,[],[f156,f245]) ).
fof(f267,plain,
aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(forward_subsumption_resolution,[],[f149,f245]) ).
fof(f268,plain,
~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference(resolution,[],[f267,f163]) ).
fof(f277,plain,
~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(resolution,[],[f212,f268]) ).
fof(f279,plain,
~ aElementOf0(szmzazxdt0(xS),xS),
inference(resolution,[],[f277,f147]) ).
fof(f281,plain,
$false,
inference(forward_subsumption_resolution,[],[f279,f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:25:46 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 2.49/1.30 % (2735631)Detected formulas, will run a generic FOF schedule.
% 2.49/1.30 % (2735636)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=115902916:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.49/1.30 % (2735639)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3454284890:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.49/1.30 % (2735637)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=3823701619:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.49/1.30 % (2735640)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1517943327:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.49/1.30 % (2735638)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=1592634636:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.49/1.30 % (2735641)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1624708114:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.49/1.30 % (2735640)First to succeed.
% 2.49/1.30 % (2735640)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2735631"
% 2.49/1.30 % (2735642)dis-21_1_sil=8000:lcm=predicate:random_seed=2374030299: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)
% 2.49/1.30 % (2735642)Also succeeded, but the first one will report.
% 2.49/1.30 % (2735639)Instruction limit reached!
% 2.49/1.30 % (2735639)------------------------------
% 2.49/1.30 % (2735639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.30 % (2735639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.30 % (2735639)CaDiCaL version: 2.1.3
% 2.49/1.30 % (2735639)Termination reason: Instruction limit
% 2.49/1.30 % (2735639)Termination phase: Saturation
% 2.49/1.30 % (2735639)Time elapsed: 0.049 s
% 2.49/1.30 % (2735639)Peak memory usage: 89 MB
% 2.49/1.30 % (2735639)Instructions burned: 111 (million)
% 2.49/1.30 % (2735641)Instruction limit reached!
% 2.49/1.30 % (2735641)------------------------------
% 2.49/1.30 % (2735641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.30 % (2735641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.30 % (2735641)CaDiCaL version: 2.1.3
% 2.49/1.30 % (2735641)Termination reason: Instruction limit
% 2.49/1.30 % (2735641)Termination phase: Saturation
% 2.49/1.30 % (2735641)Time elapsed: 0.098 s
% 2.49/1.30 % (2735641)Peak memory usage: 90 MB
% 2.49/1.30 % (2735641)Instructions burned: 139 (million)
% 2.49/1.30 % (2735650)lrs+10_1_sil=8000:sp=occurrence:random_seed=2433551623:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.49/1.30 % (2735650)Also succeeded, but the first one will report.
% 2.49/1.30 % (2735651)lrs+10_1_sil=32000:urr=on:br=off:random_seed=992546111:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.49/1.30 % (2735640)Refutation found. Thanks to Tanya!
% 2.49/1.30 % SZS status Theorem for theBenchmark
% 2.49/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.39 % (2735640)------------------------------
% 3.40/1.39 % (2735640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.39 % (2735640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.39 % (2735640)CaDiCaL version: 2.1.3
% 3.40/1.39 % (2735640)Termination reason: Refutation
% 3.40/1.39 % (2735640)Time elapsed: 0.005 s
% 3.40/1.40 % (2735640)Peak memory usage: 88 MB
% 3.40/1.40 % (2735640)Instructions burned: 6 (million)
% 3.40/1.40 % (2735640)------------------------------
% 3.40/1.40 % (2735640)------------------------------
% 3.40/1.40 % (2735631)Success in time 0.416 s
% 3.40/1.40 % Vampire exiting
%------------------------------------------------------------------------------