%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM595+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:15:54 PM UTC 2026
% Result : Theorem 4.53s 1.25s
% Output : Refutation 5.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 215 ( 53 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 259 ( 84 ~; 68 |; 89 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 60 ( 46 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f95,axiom,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xd,xi) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4806) ).
fof(f96,axiom,
( aSet0(xX)
& ! [X0] :
( ( aElementOf0(X0,xX)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,xX) ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ~ ~ ? [X0] : aElementOf0(X0,xX) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4826) ).
fof(f97,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f98,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[status(cth)],[f97]) ).
fof(f115,plain,
( aSet0(xX)
& ! [X0] :
( ( aElementOf0(X0,xX)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,xX) ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ~ ~ ? [X3] : aElementOf0(X3,xX) ),
inference(rectify,[],[f96]) ).
fof(f116,plain,
( aSet0(xX)
& ! [X0] :
( ( aElementOf0(X0,xX)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,xX) ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ? [X3] : aElementOf0(X3,xX) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f98]) ).
fof(f238,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aSet0(X2)
| ( ( ( ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) )
& ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f239,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
| ~ aSet0(X2)
| ( ( ( ? [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X3,X2) )
& ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f238]) ).
fof(f241,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f242,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f241]) ).
fof(f243,plain,
( aSet0(xX)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| sbrdtbr0(X0) != xk ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ? [X3] : aElementOf0(X3,xX) ),
inference(ennf_transformation,[],[f116]) ).
fof(f244,plain,
( aSet0(xX)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| sbrdtbr0(X0) != xk ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ? [X3] : aElementOf0(X3,xX) ),
inference(flattening,[],[f243]) ).
fof(f412,plain,
! [X0] :
( ( aElementOf0(sK65(X0),xT)
& ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0)
| ~ aSet0(X2)
| ( ( ( ~ aElementOf0(sK66(X0,X2),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK66(X0,X2),X2)
& ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X2) != xk )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66]),skolemize(X1,sK65(X0)),skolemize(X3,sK66(X0,X2))],[f239]) ).
fof(f413,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f242]) ).
fof(f418,plain,
( aSet0(xX)
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
| ( ( ~ aSet0(X0)
| ( ~ aElementOf0(sK70(X0),sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& aElementOf0(sK70(X0),X0) ) )
& ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| sbrdtbr0(X0) != xk ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& aElementOf0(sK71,xX) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X2,sK70(X0)),skolemize(X3,sK71)],[f244]) ).
fof(f763,plain,
! [X2,X0] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f767,plain,
! [X0] :
( aElementOf0(sK65(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f773,plain,
! [X0,X1] :
( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f413]) ).
fof(f786,plain,
xx = sdtlpdtrp0(xd,xi),
inference(cnf_transformation,[],[f95]) ).
fof(f787,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f95]) ).
fof(f788,plain,
aElementOf0(sK71,xX),
inference(cnf_transformation,[],[f418]) ).
fof(f789,plain,
xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk),
inference(cnf_transformation,[],[f418]) ).
fof(f796,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| aSet0(X0) ),
inference(cnf_transformation,[],[f418]) ).
fof(f798,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f117]) ).
fof(f917,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK65(xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f763,f789]) ).
fof(f918,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK65(xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f917,f796]) ).
fof(f919,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = sK65(xi) ),
inference(forward_subsumption_resolution,[],[f918,f787]) ).
fof(f920,plain,
sK65(xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK71),
inference(resolution,[],[f788,f919]) ).
fof(f1051,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| ~ aSet0(X0)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f773,f789]) ).
fof(f1052,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1051,f796]) ).
fof(f1053,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sdtlpdtrp0(xd,xi) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(forward_subsumption_resolution,[],[f1052,f787]) ).
fof(f1373,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(forward_demodulation,[],[f1053,f786]) ).
fof(f1409,plain,
xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK71),
inference(resolution,[],[f1373,f788]) ).
fof(f1410,plain,
xx = sK65(xi),
inference(forward_demodulation,[],[f1409,f920]) ).
fof(f1420,plain,
( aElementOf0(xx,xT)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f767,f1410]) ).
fof(f1421,plain,
~ aElementOf0(xi,szNzAzT0),
inference(forward_subsumption_resolution,[],[f1420,f798]) ).
fof(f1422,plain,
$false,
inference(forward_subsumption_resolution,[],[f1421,f787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM595+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 20:39:35 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.53/1.25 % (2717998)Detected formulas, will run a generic FOF schedule.
% 4.53/1.25 % (2718005)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=2319034652:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.53/1.25 % (2718008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2597394247:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.53/1.25 % (2718003)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=1447698394:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.53/1.25 % (2718004)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=2587685623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.53/1.25 % (2718006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2236725372:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.53/1.25 % (2718007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3247313652:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.53/1.25 % (2718009)dis-21_1_sil=8000:lcm=predicate:random_seed=3512047794: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)
% 4.53/1.25 % (2718009)Instruction limit reached!
% 4.53/1.25 % (2718009)------------------------------
% 4.53/1.25 % (2718009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718009)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718009)Termination reason: Instruction limit
% 4.53/1.25 % (2718009)Termination phase: Saturation
% 4.53/1.25 % (2718009)Time elapsed: 0.036 s
% 4.53/1.25 % (2718009)Peak memory usage: 90 MB
% 4.53/1.25 % (2718009)Instructions burned: 130 (million)
% 4.53/1.25 % (2718006)Instruction limit reached!
% 4.53/1.25 % (2718006)------------------------------
% 4.53/1.25 % (2718006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718006)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718006)Termination reason: Instruction limit
% 4.53/1.25 % (2718006)Termination phase: Saturation
% 4.53/1.25 % (2718006)Time elapsed: 0.037 s
% 4.53/1.25 % (2718006)Peak memory usage: 90 MB
% 4.53/1.25 % (2718006)Instructions burned: 111 (million)
% 4.53/1.25 % (2718007)Instruction limit reached!
% 4.53/1.25 % (2718007)------------------------------
% 4.53/1.25 % (2718007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718007)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718007)Termination reason: Instruction limit
% 4.53/1.25 % (2718007)Termination phase: Saturation
% 4.53/1.25 % (2718007)Time elapsed: 0.040 s
% 4.53/1.25 % (2718007)Peak memory usage: 89 MB
% 4.53/1.25 % (2718007)Instructions burned: 119 (million)
% 4.53/1.25 % (2718008)Instruction limit reached!
% 4.53/1.25 % (2718008)------------------------------
% 4.53/1.25 % (2718008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718008)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718008)Termination reason: Instruction limit
% 4.53/1.25 % (2718008)Termination phase: Saturation
% 4.53/1.25 % (2718008)Time elapsed: 0.055 s
% 4.53/1.25 % (2718008)Peak memory usage: 90 MB
% 4.53/1.25 % (2718008)Instructions burned: 141 (million)
% 4.53/1.25 % (2718018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=433726031:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.53/1.25 % (2718017)lrs+10_1_sil=8000:sp=occurrence:random_seed=611430838:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.53/1.25 % (2718019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1624380103:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.53/1.25 % (2718018)Refutation not found, incomplete strategy
% 4.53/1.25 % (2718018)------------------------------
% 4.53/1.25 % (2718018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718018)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718018)Termination reason: Refutation not found, incomplete strategy
% 4.53/1.25 % (2718018)Time elapsed: 0.003 s
% 4.53/1.25 % (2718018)Peak memory usage: 88 MB
% 4.53/1.25 % (2718018)Instructions burned: 8 (million)
% 4.53/1.25 % (2718020)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2680252162:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.53/1.25 % (2718019)Instruction limit reached!
% 4.53/1.25 % (2718019)------------------------------
% 4.53/1.25 % (2718019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718019)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718019)Termination reason: Instruction limit
% 4.53/1.25 % (2718019)Termination phase: Saturation
% 4.53/1.25 % (2718019)Time elapsed: 0.084 s
% 4.53/1.25 % (2718019)Peak memory usage: 90 MB
% 4.53/1.25 % (2718019)Instructions burned: 327 (million)
% 4.53/1.25 % (2718017)Instruction limit reached!
% 4.53/1.25 % (2718017)------------------------------
% 4.53/1.25 % (2718017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718017)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718017)Termination reason: Instruction limit
% 4.53/1.25 % (2718017)Termination phase: Saturation
% 4.53/1.25 % (2718017)Time elapsed: 0.096 s
% 4.53/1.25 % (2718017)Peak memory usage: 92 MB
% 4.53/1.25 % (2718017)Instructions burned: 287 (million)
% 4.53/1.25 % (2718020)Instruction limit reached!
% 4.53/1.25 % (2718020)------------------------------
% 4.53/1.25 % (2718020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718020)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718020)Termination reason: Instruction limit
% 4.53/1.25 % (2718020)Termination phase: Saturation
% 4.53/1.25 % (2718020)Time elapsed: 0.084 s
% 4.53/1.25 % (2718020)Peak memory usage: 92 MB
% 4.53/1.25 % (2718020)Instructions burned: 248 (million)
% 4.53/1.25 % (2718018)------------------------------
% 4.53/1.25 % (2718018)------------------------------
% 4.53/1.25 % (2718025)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2489093342:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.53/1.25 % (2718027)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=586083765:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.53/1.25 % (2718026)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3654391442:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.53/1.25 % (2718003)First to succeed.
% 4.53/1.25 % (2718027)Instruction limit reached!
% 4.53/1.25 % (2718027)------------------------------
% 4.53/1.25 % (2718027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718027)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718027)Termination reason: Instruction limit
% 4.53/1.25 % (2718027)Termination phase: Saturation
% 4.53/1.25 % (2718027)Time elapsed: 0.040 s
% 4.53/1.25 % (2718027)Peak memory usage: 91 MB
% 4.53/1.25 % (2718027)Instructions burned: 114 (million)
% 4.53/1.25 % (2718003)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2717998"
% 4.53/1.25 % (2718028)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1099566837:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.53/1.25 % (2718025)Instruction limit reached!
% 4.53/1.25 % (2718025)------------------------------
% 4.53/1.25 % (2718025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718025)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718025)Termination reason: Instruction limit
% 4.53/1.25 % (2718025)Termination phase: Saturation
% 4.53/1.25 % (2718025)Time elapsed: 0.099 s
% 4.53/1.25 % (2718025)Peak memory usage: 90 MB
% 4.53/1.25 % (2718025)Instructions burned: 297 (million)
% 4.53/1.25 % (2718028)Instruction limit reached!
% 4.53/1.25 % (2718028)------------------------------
% 4.53/1.25 % (2718028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718028)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718028)Termination reason: Instruction limit
% 4.53/1.25 % (2718028)Termination phase: Saturation
% 4.53/1.25 % (2718028)Time elapsed: 0.038 s
% 4.53/1.25 % (2718028)Peak memory usage: 89 MB
% 4.53/1.25 % (2718028)Instructions burned: 131 (million)
% 4.53/1.25 % (2718004)Also succeeded, but the first one will report.
% 4.53/1.25 % (2718032)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3906606035:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.53/1.25 % (2718032)Instruction limit reached!
% 4.53/1.25 % (2718032)------------------------------
% 4.53/1.25 % (2718032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.25 % (2718032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.25 % (2718032)CaDiCaL version: 2.1.3
% 4.53/1.25 % (2718032)Termination reason: Instruction limit
% 4.53/1.25 % (2718032)Termination phase: Saturation
% 4.53/1.25 % (2718032)Time elapsed: 0.034 s
% 4.53/1.25 % (2718032)Peak memory usage: 89 MB
% 4.53/1.25 % (2718032)Instructions burned: 117 (million)
% 4.53/1.25 % (2718034)lrs+10_1_sil=8000:sp=occurrence:random_seed=1469319200:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.53/1.25 % (2718003)Refutation found. Thanks to Tanya!
% 4.53/1.25 % SZS status Theorem for theBenchmark
% 4.53/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 5.18/1.35 % (2718003)------------------------------
% 5.18/1.35 % (2718003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.35 % (2718003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.35 % (2718003)CaDiCaL version: 2.1.3
% 5.18/1.35 % (2718003)Termination reason: Refutation
% 5.18/1.35 % (2718003)Time elapsed: 0.409 s
% 5.18/1.35 % (2718003)Peak memory usage: 130 MB
% 5.18/1.35 % (2718003)Instructions burned: 1110 (million)
% 5.18/1.35 % (2718003)------------------------------
% 5.18/1.35 % (2718003)------------------------------
% 5.18/1.35 % (2717998)Success in time 0.712 s
% 5.18/1.35 % Vampire exiting
%------------------------------------------------------------------------------