%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM618+3 : 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 : n018.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 12:25:02 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 73 ( 25 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 74 ( 23 ~; 15 |; 33 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(f99,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f113,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f115,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& xx = sdtlpdtrp0(xe,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& xx = sdtlpdtrp0(xe,X0) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f135,plain,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 ) ),
inference(rectify,[],[f97]) ).
fof(f265,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 )
| ( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X1) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f135]) ).
fof(f267,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f276,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != xx ),
inference(ennf_transformation,[],[f116]) ).
fof(f455,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(rectify,[],[f265]) ).
fof(f456,plain,
! [X0] :
( ( aElementOf0(sK70(X0),szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK70(X0))
& aElementOf0(sK70(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK70(X0)) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X1,sK70(X0))],[f455]) ).
fof(f844,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK70(X0)) = X0 ),
inference(cnf_transformation,[],[f456]) ).
fof(f850,plain,
! [X0] :
( aElementOf0(sK70(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f456]) ).
fof(f857,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f267]) ).
fof(f896,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f113]) ).
fof(f901,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1250,plain,
aElementOf0(xx,xO),
inference(resolution,[],[f857,f896]) ).
fof(f1431,plain,
xx = sdtlpdtrp0(xe,sK70(xx)),
inference(resolution,[],[f844,f1250]) ).
fof(f1465,plain,
( xx != xx
| ~ aElementOf0(sK70(xx),szNzAzT0) ),
inference(superposition,[],[f901,f1431]) ).
fof(f1466,plain,
~ aElementOf0(sK70(xx),szNzAzT0),
inference(trivial_inequality_removal,[],[f1465]) ).
fof(f1467,plain,
~ aElementOf0(xx,xO),
inference(resolution,[],[f1466,f850]) ).
fof(f1468,plain,
$false,
inference(forward_subsumption_resolution,[],[f1467,f1250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM618+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:48:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.17/0.46 % (2708751)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2708758)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3518293841:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (2708757)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2708756)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=121435053_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (2708759)dis+10_1_sil=32000:sp=arity:random_seed=1435359265:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2708757)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1918613085:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (2708760)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2028928907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (2708762)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2863416831:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (2708761)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4003248696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (2708758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2708751-2708758"...
% 0.17/0.46 % (2708758)...printing done.
% 0.17/0.46 % (2708758)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2708758)------------------------------
% 0.17/0.46 % (2708758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2708758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2708758)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2708758)Termination reason: Refutation
% 0.17/0.46 % (2708758)Time elapsed: 0.017 s
% 0.17/0.46 % (2708758)Peak memory usage: 13 MB
% 0.17/0.46 % (2708758)Instructions burned: 43 (million)
% 0.17/0.46 % (2708751)Success in time 0.049 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------