%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM552+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 : n014.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 12:15:42 PM UTC 2026
% Result : Theorem 2.97s 1.38s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 14 unt; 2 def)
% Number of atoms : 230 ( 34 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 288 ( 113 ~; 111 |; 49 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 66 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(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/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f63,axiom,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(f65,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f68,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f69,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f76,plain,
( ~ aElementOf0(xx,xT)
& aElementOf0(xx,xQ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f98,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(f99,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,[],[f98]) ).
fof(f111,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,[],[f91]) ).
fof(f112,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,[],[f111]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK2(X0,X1),X0)
& aElementOf0(sK2(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f113]) ).
fof(f115,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,[],[f99]) ).
fof(f116,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,[],[f115]) ).
fof(f117,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,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK3(X0,X1,X2),X0)
| sbrdtbr0(sK3(X0,X1,X2)) != X1
| ~ aElementOf0(sK3(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK3(X0,X1,X2),X0)
& sbrdtbr0(sK3(X0,X1,X2)) = X1 )
| aElementOf0(sK3(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,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f117]) ).
fof(f121,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f123,plain,
aSet0(xT),
inference(cnf_transformation,[],[f62]) ).
fof(f126,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f63]) ).
fof(f128,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f65]) ).
fof(f133,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f76]) ).
fof(f134,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f76]) ).
fof(f152,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f160,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f162,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f187,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f162]) ).
fof(f190,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f160]) ).
fof(f237,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f126,f152]) ).
fof(f249,definition,
( spl13_6
<=> aSet0(slbdtsldtrb0(xT,xk)) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f251,plain,
( ~ aSet0(slbdtsldtrb0(xT,xk))
| spl13_6 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f263,definition,
( spl13_9
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f264,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ spl13_6
| spl13_9 ),
inference(avatar_split_clause,[],[f237,f263,f249]) ).
fof(f300,plain,
( ~ aSet0(xT)
| ~ aElementOf0(xk,szNzAzT0)
| spl13_6 ),
inference(resolution,[],[f251,f187]) ).
fof(f301,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f300,f123]) ).
fof(f302,plain,
( $false
| spl13_6 ),
inference(forward_subsumption_resolution,[],[f301,f121]) ).
fof(f303,plain,
spl13_6,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f367,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ spl13_9 ),
inference(resolution,[],[f264,f128]) ).
fof(f411,plain,
( aSubsetOf0(xQ,xT)
| ~ aSet0(xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl13_9 ),
inference(resolution,[],[f367,f190]) ).
fof(f413,plain,
( aSubsetOf0(xQ,xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f411,f123]) ).
fof(f414,plain,
( aSubsetOf0(xQ,xT)
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f413,f121]) ).
fof(f446,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT)
| ~ aSet0(xT) )
| ~ spl13_9 ),
inference(resolution,[],[f414,f152]) ).
fof(f453,plain,
( ! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT) )
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f446,f123]) ).
fof(f482,plain,
( aElementOf0(xx,xT)
| ~ spl13_9 ),
inference(resolution,[],[f453,f133]) ).
fof(f488,plain,
( $false
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f482,f134]) ).
fof(f489,plain,
~ spl13_9,
inference(avatar_contradiction_clause,[],[f488]) ).
cnf(s6,plain,
( ~ spl13_6
| spl13_9 ),
inference(sat_conversion,[],[f265]) ).
cnf(s10,plain,
spl13_6,
inference(sat_conversion,[],[f303]) ).
cnf(s22,plain,
~ spl13_9,
inference(sat_conversion,[],[f489]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s6,s22,s10]) ).
fof(f491,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM552+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:27:31 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
% 2.97/1.38 % (1137666)Detected formulas, will run a generic FOF schedule.
% 2.97/1.38 % (1137700)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=3199904694:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.97/1.38 % (1137701)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=3503267:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.97/1.38 % (1137702)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2373957347:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.97/1.38 % (1137703)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=67939160:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.97/1.38 % (1137699)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=3454801719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.97/1.38 % (1137702)First to succeed.
% 2.97/1.38 % (1137702)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1137666"
% 2.97/1.38 % (1137705)dis-21_1_sil=8000:lcm=predicate:random_seed=1535926493: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)
% 2.97/1.38 % (1137704)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=663028431:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.97/1.38 % (1137703)Instruction limit reached!
% 2.97/1.38 % (1137703)------------------------------
% 2.97/1.38 % (1137703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.38 % (1137703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.38 % (1137703)CaDiCaL version: 2.1.3
% 2.97/1.38 % (1137703)Termination reason: Instruction limit
% 2.97/1.38 % (1137703)Termination phase: Saturation
% 2.97/1.38 % (1137703)Time elapsed: 0.067 s
% 2.97/1.38 % (1137703)Peak memory usage: 88 MB
% 2.97/1.38 % (1137703)Instructions burned: 119 (million)
% 2.97/1.38 % (1137705)Instruction limit reached!
% 2.97/1.38 % (1137705)------------------------------
% 2.97/1.38 % (1137705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.38 % (1137705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.38 % (1137705)CaDiCaL version: 2.1.3
% 2.97/1.38 % (1137705)Termination reason: Instruction limit
% 2.97/1.38 % (1137705)Termination phase: Saturation
% 2.97/1.38 % (1137705)Time elapsed: 0.061 s
% 2.97/1.38 % (1137705)Peak memory usage: 88 MB
% 2.97/1.38 % (1137705)Instructions burned: 130 (million)
% 2.97/1.38 % (1137704)Instruction limit reached!
% 2.97/1.38 % (1137704)------------------------------
% 2.97/1.38 % (1137704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.38 % (1137704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.38 % (1137704)CaDiCaL version: 2.1.3
% 2.97/1.38 % (1137704)Termination reason: Instruction limit
% 2.97/1.38 % (1137704)Termination phase: Saturation
% 2.97/1.38 % (1137704)Time elapsed: 0.096 s
% 2.97/1.38 % (1137704)Peak memory usage: 90 MB
% 2.97/1.38 % (1137704)Instructions burned: 140 (million)
% 2.97/1.38 % (1137713)lrs+10_1_sil=8000:sp=occurrence:random_seed=609350825:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.97/1.38 % (1137714)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2219741356:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.97/1.38 % (1137714)Refutation not found, incomplete strategy
% 2.97/1.38 % (1137714)------------------------------
% 2.97/1.38 % (1137714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.38 % (1137714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.38 % (1137714)CaDiCaL version: 2.1.3
% 2.97/1.38 % (1137714)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.38 % (1137714)Time elapsed: 0.003 s
% 2.97/1.38 % (1137714)Peak memory usage: 88 MB
% 2.97/1.38 % (1137714)Instructions burned: 1 (million)
% 2.97/1.38 % (1137702)Refutation found. Thanks to Tanya!
% 2.97/1.38 % SZS status Theorem for theBenchmark
% 2.97/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/1.63 % (1137702)------------------------------
% 4.11/1.63 % (1137702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.63 % (1137702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.63 % (1137702)CaDiCaL version: 2.1.3
% 4.11/1.63 % (1137702)Termination reason: Refutation
% 4.11/1.63 % (1137702)Time elapsed: 0.015 s
% 4.11/1.63 % (1137702)Peak memory usage: 89 MB
% 4.11/1.63 % (1137702)Instructions burned: 11 (million)
% 4.11/1.63 % (1137702)------------------------------
% 4.11/1.63 % (1137702)------------------------------
% 4.11/1.63 % (1137666)Success in time 0.513 s
% 4.11/1.63 % Vampire exiting
%------------------------------------------------------------------------------