%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM565+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 : n015.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 12:15:46 PM UTC 2026
% Result : Theorem 0.92s 1.02s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 18 unt; 3 def)
% Number of atoms : 284 ( 63 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 347 ( 139 ~; 137 |; 52 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 74 !; 7 ?)
% 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(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
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(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(f78,axiom,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f80,conjecture,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f81,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f139,plain,
! [X0] :
( ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f163,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(f164,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,[],[f163]) ).
fof(f190,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,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,[],[f95]) ).
fof(f202,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,[],[f201]) ).
fof(f203,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,[],[f202]) ).
fof(f204,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))],[f203]) ).
fof(f220,plain,
! [X0] :
( ( ( sbrdtbr0(X0) = sz00
| slcrc0 != X0 )
& ( X0 = slcrc0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f238,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,[],[f164]) ).
fof(f239,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,[],[f238]) ).
fof(f240,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,[],[f239]) ).
fof(f241,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))],[f240]) ).
fof(f257,plain,
( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK25)
& aElementOf0(sK25,slbdtsldtrb0(xS,sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f190]) ).
fof(f266,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f304,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f305,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f325,plain,
! [X0] :
( sz00 != sbrdtbr0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f358,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f359,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f405,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f407,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f413,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f415,plain,
aElementOf0(sK25,slbdtsldtrb0(xS,sz00)),
inference(cnf_transformation,[],[f257]) ).
fof(f416,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK25),
inference(cnf_transformation,[],[f257]) ).
fof(f437,plain,
! [X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f359]) ).
fof(f438,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X4) = X1
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f358]) ).
fof(f473,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,sz00),
inference(forward_demodulation,[],[f407,f413]) ).
fof(f475,plain,
aElementOf0(sK25,szDzozmdt0(xc)),
inference(superposition,[],[f415,f473]) ).
fof(f486,definition,
( spl26_5
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).
fof(f487,plain,
( aSet0(xS)
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( ~ aSet0(xS)
| spl26_5 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f559,plain,
( ! [X0] :
( ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| spl26_5 ),
inference(resolution,[],[f488,f266]) ).
fof(f634,plain,
( ~ aSet0(szNzAzT0)
| spl26_5 ),
inference(resolution,[],[f559,f405]) ).
fof(f642,plain,
( $false
| spl26_5 ),
inference(forward_subsumption_resolution,[],[f634,f304]) ).
fof(f643,plain,
spl26_5,
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f826,plain,
( sz00 = sbrdtbr0(sK25)
| ~ aSet0(xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[],[f438,f415]) ).
fof(f829,plain,
( sz00 = sbrdtbr0(sK25)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ spl26_5 ),
inference(forward_subsumption_resolution,[],[f826,f487]) ).
fof(f833,plain,
( sz00 = sbrdtbr0(sK25)
| ~ spl26_5 ),
inference(forward_subsumption_resolution,[],[f829,f305]) ).
fof(f834,plain,
( sz00 != sz00
| slcrc0 = sK25
| ~ aSet0(sK25)
| ~ spl26_5 ),
inference(superposition,[],[f325,f833]) ).
fof(f838,plain,
( slcrc0 = sK25
| ~ aSet0(sK25)
| ~ spl26_5 ),
inference(trivial_inequality_removal,[],[f834]) ).
fof(f841,definition,
( spl26_30
<=> aSet0(sK25) ),
introduced(definition,[new_symbols(definition,[spl26_30])],[avatar_definition]) ).
fof(f843,plain,
( ~ aSet0(sK25)
| spl26_30 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f845,definition,
( spl26_31
<=> slcrc0 = sK25 ),
introduced(definition,[new_symbols(definition,[spl26_31])],[avatar_definition]) ).
fof(f847,plain,
( slcrc0 = sK25
| ~ spl26_31 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f848,plain,
( ~ spl26_30
| spl26_31
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f838,f486,f845,f841]) ).
fof(f858,plain,
( ! [X0] :
( ~ aSubsetOf0(sK25,X0)
| ~ aSet0(X0) )
| spl26_30 ),
inference(resolution,[],[f843,f266]) ).
fof(f892,plain,
( ! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(sK25,slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| spl26_30 ),
inference(resolution,[],[f858,f437]) ).
fof(f897,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK25,slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) )
| spl26_30 ),
inference(duplicate_literal_removal,[],[f892]) ).
fof(f913,plain,
( ~ aElementOf0(sK25,szDzozmdt0(xc))
| ~ aSet0(xS)
| ~ aElementOf0(sz00,szNzAzT0)
| spl26_30 ),
inference(superposition,[],[f897,f473]) ).
fof(f914,plain,
( ~ aSet0(xS)
| ~ aElementOf0(sz00,szNzAzT0)
| spl26_30 ),
inference(forward_subsumption_resolution,[],[f913,f475]) ).
fof(f917,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ spl26_5
| spl26_30 ),
inference(forward_subsumption_resolution,[],[f914,f487]) ).
fof(f920,plain,
( $false
| ~ spl26_5
| spl26_30 ),
inference(forward_subsumption_resolution,[],[f917,f305]) ).
fof(f921,plain,
( ~ spl26_5
| spl26_30 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f953,plain,
( sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0)
| ~ spl26_31 ),
inference(superposition,[],[f416,f847]) ).
fof(f958,plain,
( $false
| ~ spl26_31 ),
inference(trivial_inequality_removal,[],[f953]) ).
fof(f959,plain,
~ spl26_31,
inference(avatar_contradiction_clause,[],[f958]) ).
cnf(s18,plain,
spl26_5,
inference(sat_conversion,[],[f643]) ).
cnf(s29,plain,
( ~ spl26_5
| ~ spl26_30
| spl26_31 ),
inference(sat_conversion,[],[f848]) ).
cnf(s33,plain,
( ~ spl26_5
| spl26_30 ),
inference(sat_conversion,[],[f921]) ).
cnf(s35,plain,
~ spl26_31,
inference(sat_conversion,[],[f959]) ).
cnf(s36,plain,
( ~ spl26_5
| ~ spl26_30 ),
inference(rat,[],[s29,s35]) ).
cnf(s37,plain,
spl26_30,
inference(rat,[],[s33,s18]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s36,s37,s18]) ).
fof(f960,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM565+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 20:34:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.92/1.02 % (1988427)Detected formulas, will run a generic FOF schedule.
% 0.92/1.02 % (1988437)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1050132164:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.92/1.02 % (1988436)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2385473213:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.92/1.02 % (1988435)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2985913729:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.92/1.02 % (1988438)dis-21_1_sil=8000:lcm=predicate:random_seed=3909018140: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)
% 0.92/1.02 % (1988433)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=2905600377:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.92/1.02 % (1988432)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=3178514211:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.92/1.02 % (1988434)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=132644147:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.92/1.02 % (1988437)First to succeed.
% 0.92/1.02 % (1988437)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1988427"
% 0.92/1.02 % (1988438)Instruction limit reached!
% 0.92/1.02 % (1988438)------------------------------
% 0.92/1.02 % (1988438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.02 % (1988438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.02 % (1988438)CaDiCaL version: 2.1.3
% 0.92/1.02 % (1988438)Termination reason: Instruction limit
% 0.92/1.02 % (1988438)Termination phase: Saturation
% 0.92/1.02 % (1988438)Time elapsed: 0.060 s
% 0.92/1.02 % (1988438)Peak memory usage: 88 MB
% 0.92/1.02 % (1988438)Instructions burned: 129 (million)
% 0.92/1.02 % (1988435)Instruction limit reached!
% 0.92/1.02 % (1988435)------------------------------
% 0.92/1.02 % (1988435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.02 % (1988435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.02 % (1988435)CaDiCaL version: 2.1.3
% 0.92/1.02 % (1988435)Termination reason: Instruction limit
% 0.92/1.02 % (1988435)Termination phase: Saturation
% 0.92/1.02 % (1988435)Time elapsed: 0.067 s
% 0.92/1.02 % (1988435)Peak memory usage: 89 MB
% 0.92/1.02 % (1988435)Instructions burned: 110 (million)
% 0.92/1.02 % (1988436)Instruction limit reached!
% 0.92/1.02 % (1988436)------------------------------
% 0.92/1.02 % (1988436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.02 % (1988436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.02 % (1988436)CaDiCaL version: 2.1.3
% 0.92/1.02 % (1988436)Termination reason: Instruction limit
% 0.92/1.02 % (1988436)Termination phase: Saturation
% 0.92/1.02 % (1988436)Time elapsed: 0.070 s
% 0.92/1.02 % (1988436)Peak memory usage: 88 MB
% 0.92/1.02 % (1988436)Instructions burned: 119 (million)
% 0.92/1.02 % (1988446)lrs+10_1_sil=8000:sp=occurrence:random_seed=3271468868:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.92/1.02 % (1988447)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1393869120:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.92/1.02 % (1988448)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4208566159:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 0.92/1.02 % (1988448)Also succeeded, but the first one will report.
% 0.92/1.02 % (1988446)Instruction limit reached!
% 0.92/1.02 % (1988446)------------------------------
% 0.92/1.02 % (1988446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.02 % (1988446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.02 % (1988446)CaDiCaL version: 2.1.3
% 0.92/1.02 % (1988446)Termination reason: Instruction limit
% 0.92/1.02 % (1988446)Termination phase: Saturation
% 0.92/1.02 % (1988446)Time elapsed: 0.093 s
% 0.92/1.02 % (1988446)Peak memory usage: 92 MB
% 0.92/1.02 % (1988446)Instructions burned: 285 (million)
% 0.92/1.02 % (1988437)Refutation found. Thanks to Tanya!
% 0.92/1.02 % SZS status Theorem for theBenchmark
% 0.92/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.11/1.12 % (1988437)------------------------------
% 3.11/1.12 % (1988437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.12 % (1988437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.12 % (1988437)CaDiCaL version: 2.1.3
% 3.11/1.12 % (1988437)Termination reason: Refutation
% 3.11/1.12 % (1988437)Time elapsed: 0.020 s
% 3.11/1.12 % (1988437)Peak memory usage: 90 MB
% 3.11/1.12 % (1988437)Instructions burned: 25 (million)
% 3.11/1.12 % (1988437)------------------------------
% 3.11/1.12 % (1988437)------------------------------
% 3.11/1.12 % (1988427)Success in time 0.408 s
% 3.11/1.12 % Vampire exiting
%------------------------------------------------------------------------------