%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI124_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 : n012.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 09:34:05 AM UTC 2026
% Result : Theorem 0.09s 0.14s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 17 ( 0 atm; 4 fun; 13 num; 0 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(f1,conjecture,
( p($product(5,3))
=> p(15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5_3_15_predicate) ).
tff(f2,negated_conjecture,
~ ( p($product(5,3))
=> p(15) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
( ~ p(15)
& p($product(5,3)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
p($product(5,3)),
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
~ p(15),
inference(cnf_transformation,[],[f21]) ).
tff(f25,plain,
p(15),
inference(evaluation,[],[f22]) ).
tff(f26,plain,
$false,
inference(global_subsumption,[],[f23,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI124_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:42:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.14 % (3722948)Will run a generic schedule for satisfiability detection.
% 0.09/0.14 % (3722954)% WARNING: option uhcvi not known.
% 0.09/0.14 % (3722959)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3397666359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.09/0.14 % (3722955)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=531628746:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.14 % (3722956)dis+10_1_sil=32000:sp=arity:random_seed=1912970390:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.09/0.14 % (3722954)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=535129787:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.09/0.14 % (3722957)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1539735750:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.14 % (3722958)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1135926550:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.14 % (3722958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722948-3722958"...
% 0.09/0.14 % (3722957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722948-3722957"...
% 0.09/0.14 % (3722955) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722948-3722955"...
% 0.09/0.14 % (3722954) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722948-3722954"...
% 0.09/0.14 % (3722956) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722948-3722956"...
% 0.09/0.14 % (3722959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722948-3722959"...
% 0.09/0.14 % (3722957)...printing done.
% 0.09/0.14 % (3722955)...printing done.
% 0.09/0.14 % (3722958)...printing done.
% 0.09/0.14 % (3722954)...printing done.
% 0.09/0.14 % (3722956)...printing done.
% 0.09/0.14 % (3722959)...printing done.
% 0.09/0.14 % (3722955)Refutation found. Thanks to Tanya!
% 0.09/0.14 % SZS status Theorem for theBenchmark
% 0.09/0.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.14 % (3722955)------------------------------
% 0.09/0.14 % (3722955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.14 % (3722955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.14 % (3722955)CaDiCaL version: 2.1.3
% 0.09/0.14 % (3722955)Termination reason: Refutation
% 0.09/0.14 % (3722955)Time elapsed: 0.001 s
% 0.09/0.14 % (3722955)Peak memory usage: 11 MB
% 0.09/0.14 % (3722948)Success in time 0.014 s
% 0.09/0.15 % Vampire exiting
%------------------------------------------------------------------------------