%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM561+2 : 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 : n026.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 12:24:49 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 15 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 4 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2911_02) ).
fof(f71,conjecture,
( ? [X0] :
( aElementOf0(X0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx) )
| aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f72,negated_conjecture,
~ ( ? [X0] :
( aElementOf0(X0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx) )
| aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
inference(negated_conjecture,[status(cth)],[f71]) ).
fof(f173,plain,
( ! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
| sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx) )
& ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
inference(ennf_transformation,[],[f72]) ).
fof(f365,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f70]) ).
fof(f367,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
| sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx) ),
inference(cnf_transformation,[],[f173]) ).
fof(f368,plain,
sdtlpdtrp0(xF,xx) != sdtlpdtrp0(xF,xx),
inference(resolution,[],[f365,f367]) ).
fof(f369,plain,
$false,
inference(trivial_inequality_removal,[],[f368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 20:32:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.47 % (3184889)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3184899)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4093641886:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3184895)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3184899) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3184889-3184899"...
% 0.18/0.47 % (3184899)...printing done.
% 0.18/0.47 % (3184899)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 % (3184899)------------------------------
% 0.18/0.47 % (3184899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3184899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3184899)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3184899)Termination reason: Refutation
% 0.18/0.47 % (3184899)Time elapsed: 0.003 s
% 0.18/0.47 % (3184899)Peak memory usage: 12 MB
% 0.18/0.47 % (3184899)Instructions burned: 9 (million)
% 0.18/0.47 % (3184889)Success in time 0.036 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------