%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM545+1 : 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 : n017.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 2.70s 1.28s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 16 unt; 4 def)
% Number of atoms : 264 ( 43 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 304 ( 122 ~; 117 |; 47 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 67 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f48,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& isFinite0(X0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f55,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f56,axiom,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2035) ).
fof(f57,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f67,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f75,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f95,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(flattening,[],[f126]) ).
fof(f136,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(ennf_transformation,[],[f56]) ).
fof(f137,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f144,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f145,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f146]) ).
fof(f148,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,[],[f72]) ).
fof(f149,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,[],[f148]) ).
fof(f150,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,[],[f149]) ).
fof(f151,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))],[f150]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f127]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f175]) ).
fof(f186,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f191,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f196,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f230,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f231,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f233,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f262,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f176]) ).
fof(f274,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f280,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f281,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f282,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(cnf_transformation,[],[f136]) ).
fof(f283,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f284,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f186]) ).
fof(f294,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzazxdt0(X0),X0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f262]) ).
fof(f303,definition,
( spl13_1
<=> slcrc0 = xS ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f305,plain,
( slcrc0 = xS
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl13_2
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f309,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f282,f307,f303]) ).
fof(f312,definition,
( spl13_3
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f313,plain,
( aSet0(slcrc0)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f325,plain,
spl13_3,
inference(avatar_split_clause,[],[f284,f312]) ).
fof(f326,plain,
( ~ aSubsetOf0(xS,slcrc0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f283,f274]) ).
fof(f327,plain,
~ aSubsetOf0(xS,slcrc0),
inference(forward_subsumption_resolution,[],[f326,f231]) ).
fof(f328,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ spl13_2 ),
inference(resolution,[],[f309,f283]) ).
fof(f335,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl13_2 ),
inference(resolution,[],[f233,f328]) ).
fof(f351,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f191,f281]) ).
fof(f363,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f351,f230]) ).
fof(f421,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ isFinite0(xS)
| slcrc0 = xS ),
inference(resolution,[],[f294,f281]) ).
fof(f423,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| slcrc0 = xS ),
inference(forward_subsumption_resolution,[],[f421,f280]) ).
fof(f425,definition,
( spl13_12
<=> aElementOf0(szmzazxdt0(xS),xS) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f427,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( spl13_1
| spl13_12 ),
inference(avatar_split_clause,[],[f423,f425,f303]) ).
fof(f433,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ spl13_1 ),
inference(superposition,[],[f327,f305]) ).
fof(f450,plain,
( ~ aSet0(slcrc0)
| ~ spl13_1 ),
inference(resolution,[],[f433,f196]) ).
fof(f451,plain,
( $false
| ~ spl13_1
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f450,f313]) ).
fof(f452,plain,
( ~ spl13_1
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f474,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl13_12 ),
inference(resolution,[],[f427,f363]) ).
fof(f475,plain,
( $false
| ~ spl13_2
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f474,f335]) ).
fof(f476,plain,
( ~ spl13_2
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f475]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f310]) ).
cnf(s4,plain,
spl13_3,
inference(sat_conversion,[],[f325]) ).
cnf(s9,plain,
( spl13_1
| spl13_12 ),
inference(sat_conversion,[],[f428]) ).
cnf(s11,plain,
( ~ spl13_1
| ~ spl13_3 ),
inference(sat_conversion,[],[f452]) ).
cnf(s13,plain,
( ~ spl13_2
| ~ spl13_12 ),
inference(sat_conversion,[],[f476]) ).
cnf(s14,plain,
~ spl13_1,
inference(rat,[],[s11,s4]) ).
cnf(s15,plain,
spl13_12,
inference(rat,[],[s9,s14]) ).
cnf(s17,plain,
~ spl13_2,
inference(rat,[],[s13,s15]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s17,s14]) ).
fof(f477,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM545+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.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 20:21:06 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.70/1.28 % (2912608)Detected formulas, will run a generic FOF schedule.
% 2.70/1.28 % (2912619)dis-21_1_sil=8000:lcm=predicate:random_seed=1064722480: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)
% 2.70/1.28 % (2912619)Instruction limit reached!
% 2.70/1.28 % (2912619)------------------------------
% 2.70/1.28 % (2912619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (2912619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (2912619)CaDiCaL version: 2.1.3
% 2.70/1.28 % (2912619)Termination reason: Instruction limit
% 2.70/1.28 % (2912619)Termination phase: Saturation
% 2.70/1.28 % (2912619)Time elapsed: 0.033 s
% 2.70/1.28 % (2912619)Peak memory usage: 88 MB
% 2.70/1.28 % (2912619)Instructions burned: 134 (million)
% 2.70/1.28 % (2912613)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=729817574:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.28 % (2912617)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=944216559:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.28 % (2912616)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=133705063:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.28 % (2912615)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=654524792:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.28 % (2912614)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=3020510918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.28 % (2912618)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=950560015:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.28 % (2912616)Refutation not found, incomplete strategy
% 2.70/1.28 % (2912616)------------------------------
% 2.70/1.28 % (2912616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (2912616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (2912616)CaDiCaL version: 2.1.3
% 2.70/1.28 % (2912616)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.28 % (2912616)Time elapsed: 0.004 s
% 2.70/1.28 % (2912616)Peak memory usage: 88 MB
% 2.70/1.28 % (2912616)Instructions burned: 4 (million)
% 2.70/1.28 % (2912618)First to succeed.
% 2.70/1.28 % (2912618)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2912608"
% 2.70/1.28 % (2912617)Instruction limit reached!
% 2.70/1.28 % (2912617)------------------------------
% 2.70/1.28 % (2912617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (2912617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (2912617)CaDiCaL version: 2.1.3
% 2.70/1.28 % (2912617)Termination reason: Instruction limit
% 2.70/1.28 % (2912617)Termination phase: Saturation
% 2.70/1.28 % (2912617)Time elapsed: 0.070 s
% 2.70/1.28 % (2912617)Peak memory usage: 88 MB
% 2.70/1.28 % (2912617)Instructions burned: 121 (million)
% 2.70/1.28 % (2912621)lrs+10_1_sil=8000:sp=occurrence:random_seed=1786951716:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.70/1.28 % (2912621)Instruction limit reached!
% 2.70/1.28 % (2912621)------------------------------
% 2.70/1.28 % (2912621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (2912621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (2912621)CaDiCaL version: 2.1.3
% 2.70/1.28 % (2912621)Termination reason: Instruction limit
% 2.70/1.28 % (2912621)Termination phase: Saturation
% 2.70/1.28 % (2912621)Time elapsed: 0.097 s
% 2.70/1.28 % (2912621)Peak memory usage: 91 MB
% 2.70/1.28 % (2912621)Instructions burned: 286 (million)
% 2.70/1.28 % (2912628)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3635029710:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.70/1.28 % (2912628)Refutation not found, incomplete strategy
% 2.70/1.28 % (2912628)------------------------------
% 2.70/1.28 % (2912628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (2912628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (2912628)CaDiCaL version: 2.1.3
% 2.70/1.28 % (2912628)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.28 % (2912628)Time elapsed: 0.003 s
% 2.70/1.28 % (2912628)Peak memory usage: 89 MB
% 2.70/1.28 % (2912628)Instructions burned: 3 (million)
% 2.70/1.28 % (2912616)------------------------------
% 2.70/1.28 % (2912616)------------------------------
% 2.70/1.28 % (2912618)Refutation found. Thanks to Tanya!
% 2.70/1.28 % SZS status Theorem for theBenchmark
% 2.70/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.48 % (2912618)------------------------------
% 3.55/1.48 % (2912618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.48 % (2912618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.48 % (2912618)CaDiCaL version: 2.1.3
% 3.55/1.48 % (2912618)Termination reason: Refutation
% 3.55/1.48 % (2912618)Time elapsed: 0.010 s
% 3.55/1.48 % (2912618)Peak memory usage: 90 MB
% 3.55/1.48 % (2912618)Instructions burned: 12 (million)
% 3.55/1.48 % (2912618)------------------------------
% 3.55/1.48 % (2912618)------------------------------
% 3.55/1.48 % (2912608)Success in time 0.418 s
% 3.55/1.48 % Vampire exiting
%------------------------------------------------------------------------------