%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM607+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 : n011.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 12:25:00 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 62 ( 2 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 63 ( 17 ~; 16 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,axiom,
( ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
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(f102,conjecture,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f103,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(negated_conjecture,[status(cth)],[f102]) ).
fof(f124,plain,
~ ( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(rectify,[],[f103]) ).
fof(f252,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) )
& aSubsetOf0(xO,xS) ),
inference(ennf_transformation,[],[f98]) ).
fof(f253,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(f257,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xQ) )
& ~ aSubsetOf0(xQ,xS)
& ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,xQ) )
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(ennf_transformation,[],[f124]) ).
fof(f439,plain,
( ~ aElementOf0(sK72,xS)
& aElementOf0(sK72,xQ)
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(sK73,xS)
& aElementOf0(sK73,xQ)
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72,sK73]),skolemize(X0,sK72),skolemize(X1,sK73)],[f257]) ).
fof(f831,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f252]) ).
fof(f835,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f253]) ).
fof(f844,plain,
aElementOf0(sK73,xQ),
inference(cnf_transformation,[],[f439]) ).
fof(f845,plain,
~ aElementOf0(sK73,xS),
inference(cnf_transformation,[],[f439]) ).
fof(f942,plain,
aElementOf0(sK73,xO),
inference(resolution,[],[f835,f844]) ).
fof(f945,plain,
aElementOf0(sK73,xS),
inference(resolution,[],[f942,f831]) ).
fof(f946,plain,
$false,
inference(forward_subsumption_resolution,[],[f945,f845]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM607+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:44:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.17/0.48 % (2742210)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (2742220)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=901670406:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (2742216)% WARNING: option uhcvi not known.
% 0.17/0.48 % (2742215)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=169086192_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (2742216)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3746778602:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (2742217)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3548118129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (2742218)dis+10_1_sil=32000:sp=arity:random_seed=1945873461:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (2742219)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2217615558:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (2742221)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2890366379:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (2742218) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2742210-2742218"...
% 0.17/0.48 % (2742218)...printing done.
% 0.17/0.48 % (2742218)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (2742218)------------------------------
% 0.17/0.48 % (2742218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (2742218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (2742218)CaDiCaL version: 2.1.3
% 0.17/0.48 % (2742218)Termination reason: Refutation
% 0.17/0.48 % (2742218)Time elapsed: 0.013 s
% 0.17/0.48 % (2742218)Peak memory usage: 12 MB
% 0.17/0.48 % (2742218)Instructions burned: 22 (million)
% 0.17/0.48 % (2742210)Success in time 0.055 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------