%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI112_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:34:04 AM UTC 2026
% Result : Theorem 0.25s 0.32s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 16 ( 0 atm; 4 fun; 8 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : ( $product(2,-5) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2_n5_what) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $product(2,-5) = X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
! [X0: $int] : ( $product(2,-5) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : ( $product(2,-5) != X0 ),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
$false,
inference(equality_resolution,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI112_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n019.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 20:43:03 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.28 Running first-order model finding
% 0.08/0.28 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
% 0.25/0.32 % (210501)Will run a generic schedule for satisfiability detection.
% 0.25/0.32 % (210507)% WARNING: option uhcvi not known.
% 0.25/0.32 % (210507)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1477151222:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.32 % (210507) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-210501-210507"...
% 0.25/0.32 % (210506)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=665432662_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.32 % (210507)...printing done.
% 0.25/0.32 % (210506)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.32 % (210506)Terminated due to inappropriate strategy.
% 0.25/0.32 % (210506)------------------------------
% 0.25/0.32 % (210506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.32 % (210506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.32 % (210506)CaDiCaL version: 2.1.3
% 0.25/0.32 % (210506)Termination reason: Inappropriate
% 0.25/0.32 % (210506)Time elapsed: 0.0000 s
% 0.25/0.32 % (210506)Peak memory usage: 10 MB
% 0.25/0.32 % (210507)Refutation found. Thanks to Tanya!
% 0.25/0.32 % SZS status Theorem for theBenchmark
% 0.25/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.32 % (210507)------------------------------
% 0.25/0.32 % (210507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.32 % (210507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.32 % (210507)CaDiCaL version: 2.1.3
% 0.25/0.32 % (210507)Termination reason: Refutation
% 0.25/0.32 % (210507)Time elapsed: 0.001 s
% 0.25/0.32 % (210507)Peak memory usage: 11 MB
% 0.25/0.32 % (210501)Success in time 0.023 s
% 0.25/0.32 % Vampire exiting
%------------------------------------------------------------------------------