%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM615+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 : n016.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 12:25:01 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 22 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 6 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,axiom,
? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X0) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(f111,conjecture,
? [X0] :
( ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,X0) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f112,negated_conjecture,
~ ? [X0] :
( ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,X0) = xp ),
inference(negated_conjecture,[status(cth)],[f111]) ).
fof(f276,plain,
! [X0] :
( ( ( ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| sdtlpdtrp0(xe,X0) != xp ),
inference(ennf_transformation,[],[f112]) ).
fof(f821,plain,
xp = sdtlpdtrp0(xe,sK58),
inference(cnf_transformation,[],[f106]) ).
fof(f822,plain,
aElementOf0(sK58,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f106]) ).
fof(f830,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1392,plain,
( xp != xp
| ~ aElementOf0(sK58,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(superposition,[],[f830,f821]) ).
fof(f1393,plain,
~ aElementOf0(sK58,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(trivial_inequality_removal,[],[f1392]) ).
fof(f1411,plain,
$false,
inference(forward_subsumption_resolution,[],[f822,f1393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:50:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.47 % (2976093)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (2976099)% WARNING: option uhcvi not known.
% 0.18/0.47 % (2976099)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2307618565:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (2976098)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1637520973_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (2976100)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2502178170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (2976101)dis+10_1_sil=32000:sp=arity:random_seed=2321256535:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (2976102)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=986528522:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (2976104)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2581376999:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (2976103)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4283253148:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (2976099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2976093-2976099"...
% 0.18/0.47 % (2976099)...printing done.
% 0.18/0.47 % (2976099)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (2976099)------------------------------
% 0.18/0.47 % (2976099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (2976099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (2976099)CaDiCaL version: 2.1.3
% 0.18/0.47 % (2976099)Termination reason: Refutation
% 0.18/0.47 % (2976099)Time elapsed: 0.010 s
% 0.18/0.47 % (2976099)Peak memory usage: 12 MB
% 0.18/0.47 % (2976099)Instructions burned: 34 (million)
% 0.18/0.47 % (2976093)Success in time 0.04 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------