%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG099+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:36:02 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 24 unt; 3 def)
% Number of atoms : 254 ( 3 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 284 ( 113 ~; 108 |; 43 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 68 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aIdeal0(X2) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMod) ).
fof(f28,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).
fof(f33,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).
fof(f34,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f35,conjecture,
? [X0] :
( aElement0(X0)
& sdteqdtlpzmzozddtrp0(X0,xx,xI)
& sdteqdtlpzmzozddtrp0(X0,xy,xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& sdteqdtlpzmzozddtrp0(X0,xx,xI)
& sdteqdtlpzmzozddtrp0(X0,xy,xJ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f40,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f42,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f44]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f70,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f93,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f94,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) ) )
& aElementOf0(X1,X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( ( ( ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
& aElementOf0(sK11(X0),X0) )
| ( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
& aElement0(sK12(X0)) ) )
& aElementOf0(sK10(X0),X0) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtpldt0(X4,X5),X0)
| ~ aElementOf0(X5,X0) )
& ! [X6] :
( aElementOf0(sdtasdt0(X6,X4),X0)
| ~ aElement0(X6) ) )
| ~ aElementOf0(X4,X0) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0))],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(nnf_transformation,[],[f76]) ).
fof(f101,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f102,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f147,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aIdeal0(X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f157,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f158,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f160,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f161,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f163,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f164,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f165,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f166,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f33]) ).
fof(f167,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f34]) ).
fof(f168,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f175,plain,
aSet0(xJ),
inference(resolution,[],[f147,f157]) ).
fof(f176,plain,
aSet0(xI),
inference(resolution,[],[f147,f158]) ).
fof(f210,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[],[f121,f164]) ).
fof(f211,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[],[f121,f163]) ).
fof(f212,plain,
aElement0(xb),
inference(forward_subsumption_resolution,[],[f211,f175]) ).
fof(f213,plain,
aElement0(xa),
inference(forward_subsumption_resolution,[],[f210,f176]) ).
fof(f291,plain,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(superposition,[],[f101,f165]) ).
fof(f293,definition,
( spl13_1
<=> aElement0(sdtasdt0(xx,xb)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f295,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| spl13_1 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl13_2
<=> aElement0(sdtasdt0(xy,xa)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f299,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| spl13_2 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,definition,
( spl13_3
<=> aElement0(xw) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f303,plain,
( aElement0(xw)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,plain,
( ~ spl13_1
| ~ spl13_2
| spl13_3 ),
inference(avatar_split_clause,[],[f291,f301,f297,f293]) ).
fof(f305,plain,
( ~ aElement0(xx)
| ~ aElement0(xb)
| spl13_1 ),
inference(resolution,[],[f295,f102]) ).
fof(f306,plain,
( ~ aElement0(xb)
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f305,f161]) ).
fof(f307,plain,
( $false
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f306,f212]) ).
fof(f308,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f341,plain,
( ~ aElement0(xy)
| ~ aElement0(xa)
| spl13_2 ),
inference(resolution,[],[f299,f102]) ).
fof(f342,plain,
( ~ aElement0(xa)
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f341,f160]) ).
fof(f343,plain,
( $false
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f342,f213]) ).
fof(f344,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f508,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ aElement0(xx)
| ~ aIdeal0(xI) ),
inference(resolution,[],[f156,f166]) ).
fof(f509,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xw)
| ~ aElement0(xy)
| ~ aIdeal0(xJ) ),
inference(resolution,[],[f156,f167]) ).
fof(f520,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aElement0(xy)
| ~ aIdeal0(xJ)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f509,f303]) ).
fof(f521,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xx)
| ~ aIdeal0(xI)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f508,f303]) ).
fof(f522,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ aIdeal0(xJ)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f520,f160]) ).
fof(f523,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aIdeal0(xI)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f521,f161]) ).
fof(f524,plain,
( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f522,f157]) ).
fof(f525,plain,
( sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f523,f158]) ).
fof(f574,plain,
( ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ aElement0(xw)
| ~ spl13_3 ),
inference(resolution,[],[f524,f168]) ).
fof(f575,plain,
( ~ sdteqdtlpzmzozddtrp0(xw,xx,xI)
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f574,f303]) ).
fof(f586,plain,
( $false
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f525,f575]) ).
fof(f587,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f586]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2
| spl13_3 ),
inference(sat_conversion,[],[f304]) ).
cnf(s2,plain,
spl13_1,
inference(sat_conversion,[],[f308]) ).
cnf(s3,plain,
spl13_2,
inference(sat_conversion,[],[f344]) ).
cnf(s10,plain,
~ spl13_3,
inference(sat_conversion,[],[f587]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s10,s3,s2]) ).
fof(f588,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG099+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.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 23:13:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.48 % (1881200)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (1881209)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=525570885:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (1881206)% WARNING: option uhcvi not known.
% 0.16/0.48 % (1881205)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3275762479_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (1881206)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1299157042:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (1881207)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2704331420:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (1881208)dis+10_1_sil=32000:sp=arity:random_seed=3551089795:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (1881210)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2787391905:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (1881211)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4068185672:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (1881208) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1881200-1881208"...
% 0.16/0.48 % (1881208)...printing done.
% 0.16/0.48 % (1881208)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (1881208)------------------------------
% 0.16/0.48 % (1881208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (1881208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (1881208)CaDiCaL version: 2.1.3
% 0.16/0.48 % (1881208)Termination reason: Refutation
% 0.16/0.48 % (1881208)Time elapsed: 0.013 s
% 0.16/0.48 % (1881208)Peak memory usage: 12 MB
% 0.16/0.48 % (1881208)Instructions burned: 19 (million)
% 0.16/0.48 % (1881200)Success in time 0.058 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------