%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:25:04 PM UTC 2026
% Result : ContradictoryAxioms 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 19 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 1 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,axiom,
( aElementOf0(xp,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f113,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(f120,axiom,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5496) ).
fof(f279,plain,
( aElementOf0(xp,xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& xp = szmzizndt0(xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f879,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f279]) ).
fof(f905,plain,
szmzizndt0(xQ) != xx,
inference(cnf_transformation,[],[f113]) ).
fof(f921,plain,
xp = xx,
inference(cnf_transformation,[],[f120]) ).
fof(f924,plain,
szmzizndt0(xQ) = xx,
inference(definition_unfolding,[],[f879,f921]) ).
fof(f1413,plain,
xx != xx,
inference(superposition,[],[f905,f924]) ).
fof(f1414,plain,
$false,
inference(trivial_inequality_removal,[],[f1413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n008.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 20:50:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % (1584636)Will run a generic schedule for satisfiability detection.
% 0.20/0.46 % (1584647)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2218790940:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.46 % (1584642)% WARNING: option uhcvi not known.
% 0.20/0.46 % (1584641)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1830843568_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.46 % (1584643)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=992901488:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.46 % (1584642)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3906479384:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.46 % (1584644)dis+10_1_sil=32000:sp=arity:random_seed=3075239390:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.46 % (1584645)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2974028242:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.46 % (1584646)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1280744571:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.46 % (1584647) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1584636-1584647"...
% 0.20/0.46 % (1584647)...printing done.
% 0.20/0.46 % (1584647)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status ContradictoryAxioms for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (1584647)------------------------------
% 0.20/0.46 % (1584647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.46 % (1584647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.46 % (1584647)CaDiCaL version: 2.1.3
% 0.20/0.46 % (1584647)Termination reason: Refutation
% 0.20/0.46 % (1584647)Time elapsed: 0.011 s
% 0.20/0.46 % (1584647)Peak memory usage: 13 MB
% 0.20/0.46 % (1584647)Instructions burned: 33 (million)
% 0.20/0.46 % (1584636)Success in time 0.039 s
% 0.20/0.46 % Vampire exiting
%------------------------------------------------------------------------------