%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM607+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:15:58 PM UTC 2026
% Result : Theorem 4.75s 1.66s
% Output : Refutation 5.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 22 unt; 0 def)
% Number of atoms : 249 ( 50 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 308 ( 114 ~; 112 |; 66 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% Number of variables : 89 ( 83 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X0)
& aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f86,axiom,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f95,axiom,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f99,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f100,axiom,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(f102,conjecture,
aElementOf0(xQ,szDzozmdt0(xc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f103,negated_conjecture,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(negated_conjecture,[status(cth)],[f102]) ).
fof(f111,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(flattening,[],[f103]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f124,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f125,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(flattening,[],[f124]) ).
fof(f186,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f187,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f186]) ).
fof(f198,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f222,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f223,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f222]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f245]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f247]) ).
fof(f282,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f187]) ).
fof(f283,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f282]) ).
fof(f284,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f283]) ).
fof(f285,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK14(X0,X1,X2),X0)
& sbrdtbr0(sK14(X0,X1,X2)) = X1 )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f284]) ).
fof(f312,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f318,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f404,plain,
! [X2,X0,X1,X4] :
( slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X1
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f406,plain,
! [X2,X0,X1,X4] :
( slbdtsldtrb0(X0,X1) != X2
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1
| aElementOf0(X4,X2)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f418,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f449,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f451,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f453,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f476,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f223]) ).
fof(f477,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f223]) ).
fof(f496,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
fof(f502,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f503,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(cnf_transformation,[],[f99]) ).
fof(f505,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f507,plain,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(cnf_transformation,[],[f111]) ).
fof(f510,plain,
( aSet0(szNzAzT0)
| ~ aFunction0(xC) ),
inference(superposition,[],[f418,f476]) ).
fof(f511,plain,
aSet0(szNzAzT0),
inference(forward_subsumption_resolution,[],[f510,f477]) ).
fof(f574,plain,
aSet0(xS),
inference(unit_resulting_resolution,[],[f312,f511,f451]) ).
fof(f713,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(forward_subsumption_resolution,[],[f318,f312]) ).
fof(f714,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2)
| ~ aSet0(X2) ),
inference(forward_subsumption_resolution,[],[f713,f312]) ).
fof(f716,plain,
aSubsetOf0(xQ,xS),
inference(unit_resulting_resolution,[],[f714,f574,f505,f502]) ).
fof(f2257,plain,
xK != sbrdtbr0(xQ),
inference(unit_resulting_resolution,[],[f406,f574,f449,f507,f453,f716]) ).
fof(f2279,plain,
slbdtsldtrb0(xO,xK) != slbdtsldtrb0(xO,xK),
inference(unit_resulting_resolution,[],[f404,f496,f503,f449,f2257]) ).
fof(f2282,plain,
$false,
inference(trivial_inequality_removal,[],[f2279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM607+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.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 20:43:32 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
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.75/1.66 % (147105)Detected formulas, will run a generic FOF schedule.
% 4.75/1.66 % (147132)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1241319054:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.75/1.66 % (147134)dis-21_1_sil=8000:lcm=predicate:random_seed=522383146: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)
% 4.75/1.66 % (147131)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2252717544:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.75/1.66 % (147133)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1573311631:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.75/1.66 % (147130)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=3752730503:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.75/1.66 % (147128)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=22483716:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.75/1.66 % (147129)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=1254944124:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.75/1.66 % (147132)Instruction limit reached!
% 4.75/1.66 % (147132)------------------------------
% 4.75/1.66 % (147132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147132)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147132)Termination reason: Instruction limit
% 4.75/1.66 % (147132)Termination phase: Saturation
% 4.75/1.66 % (147132)Time elapsed: 0.038 s
% 4.75/1.66 % (147132)Peak memory usage: 89 MB
% 4.75/1.66 % (147132)Instructions burned: 120 (million)
% 4.75/1.66 % (147131)Instruction limit reached!
% 4.75/1.66 % (147131)------------------------------
% 4.75/1.66 % (147131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147131)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147131)Termination reason: Instruction limit
% 4.75/1.66 % (147131)Termination phase: Saturation
% 4.75/1.66 % (147131)Time elapsed: 0.071 s
% 4.75/1.66 % (147131)Peak memory usage: 90 MB
% 4.75/1.66 % (147131)Instructions burned: 110 (million)
% 4.75/1.66 % (147134)Instruction limit reached!
% 4.75/1.66 % (147134)------------------------------
% 4.75/1.66 % (147134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147134)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147134)Termination reason: Instruction limit
% 4.75/1.66 % (147134)Termination phase: Saturation
% 4.75/1.66 % (147134)Time elapsed: 0.074 s
% 4.75/1.66 % (147134)Peak memory usage: 91 MB
% 4.75/1.66 % (147134)Instructions burned: 129 (million)
% 4.75/1.66 % (147133)Instruction limit reached!
% 4.75/1.66 % (147133)------------------------------
% 4.75/1.66 % (147133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147133)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147133)Termination reason: Instruction limit
% 4.75/1.66 % (147133)Termination phase: Saturation
% 4.75/1.66 % (147133)Time elapsed: 0.101 s
% 4.75/1.66 % (147133)Peak memory usage: 90 MB
% 4.75/1.66 % (147133)Instructions burned: 139 (million)
% 4.75/1.66 % (147142)lrs+10_1_sil=8000:sp=occurrence:random_seed=1881288062:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.75/1.66 % (147143)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1572324915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.75/1.66 % (147144)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3792327269:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.75/1.66 % (147143)Refutation not found, incomplete strategy
% 4.75/1.66 % (147143)------------------------------
% 4.75/1.66 % (147143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147143)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147143)Termination reason: Refutation not found, incomplete strategy
% 4.75/1.66 % (147143)Time elapsed: 0.002 s
% 4.75/1.66 % (147143)Peak memory usage: 88 MB
% 4.75/1.66 % (147143)Instructions burned: 1 (million)
% 4.75/1.66 % (147142)Instruction limit reached!
% 4.75/1.66 % (147142)------------------------------
% 4.75/1.66 % (147142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147142)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147142)Termination reason: Instruction limit
% 4.75/1.66 % (147142)Termination phase: Saturation
% 4.75/1.66 % (147142)Time elapsed: 0.098 s
% 4.75/1.66 % (147142)Peak memory usage: 92 MB
% 4.75/1.66 % (147142)Instructions burned: 286 (million)
% 4.75/1.66 % (147145)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=3283208302:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.75/1.66 % (147145)First to succeed.
% 4.75/1.66 % (147145)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-147105"
% 4.75/1.66 % (147149)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=739533884:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.75/1.66 % (147144)Instruction limit reached!
% 4.75/1.66 % (147144)------------------------------
% 4.75/1.66 % (147144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147144)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147144)Termination reason: Instruction limit
% 4.75/1.66 % (147144)Termination phase: Saturation
% 4.75/1.66 % (147144)Time elapsed: 0.177 s
% 4.75/1.66 % (147144)Peak memory usage: 90 MB
% 4.75/1.66 % (147144)Instructions burned: 325 (million)
% 4.75/1.66 % (147149)Instruction limit reached!
% 4.75/1.66 % (147149)------------------------------
% 4.75/1.66 % (147149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.66 % (147149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.66 % (147149)CaDiCaL version: 2.1.3
% 4.75/1.66 % (147149)Termination reason: Instruction limit
% 4.75/1.66 % (147149)Termination phase: Saturation
% 4.75/1.66 % (147149)Time elapsed: 0.099 s
% 4.75/1.66 % (147149)Peak memory usage: 90 MB
% 4.75/1.66 % (147149)Instructions burned: 296 (million)
% 4.75/1.66 % (147143)------------------------------
% 4.75/1.66 % (147143)------------------------------
% 4.75/1.66 % (147152)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1025957146:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.75/1.66 % (147153)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=164251757:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.75/1.66 % (147145)Refutation found. Thanks to Tanya!
% 4.75/1.66 % SZS status Theorem for theBenchmark
% 4.75/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.99/1.85 % (147145)------------------------------
% 5.99/1.85 % (147145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.85 % (147145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.85 % (147145)CaDiCaL version: 2.1.3
% 5.99/1.85 % (147145)Termination reason: Refutation
% 5.99/1.85 % (147145)Time elapsed: 0.053 s
% 5.99/1.85 % (147145)Peak memory usage: 90 MB
% 5.99/1.85 % (147145)Instructions burned: 76 (million)
% 5.99/1.85 % (147145)------------------------------
% 5.99/1.85 % (147145)------------------------------
% 5.99/1.85 % (147105)Success in time 0.759 s
% 5.99/1.85 % Vampire exiting
%------------------------------------------------------------------------------