%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI301_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 09:34:23 AM UTC 2026
% Result : Theorem 0.10s 0.16s
% Output : Refutation 0.10s
% 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 : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 16 ( 0 atm; 4 fun; 12 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
$product(18/25,-1/4) = -9/50,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_18) ).
tff(f2,negated_conjecture,
( ( ~ $product(18/25,-1/4) ) = -9/50 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
$product(18/25,-1/4) != -9/50,
inference(flattening,[],[f2]) ).
tff(f21,plain,
$product(18/25,-1/4) != -9/50,
inference(cnf_transformation,[],[f20]) ).
tff(f23,plain,
$false,
inference(evaluation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI301_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 20:46:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.12 Running first-order model finding
% 0.10/0.12 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
% 0.10/0.16 % (3734902)Will run a generic schedule for satisfiability detection.
% 0.10/0.16 % (3734908)% WARNING: option uhcvi not known.
% 0.10/0.16 % (3734908)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4137272553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.16 % (3734907)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1580117456_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.16 % (3734912)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1982698873:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.16 % (3734909)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4191675046:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.16 % (3734910)dis+10_1_sil=32000:sp=arity:random_seed=194321706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.16 % (3734911)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1038948689:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.16 % (3734907)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.16 % (3734907)Terminated due to inappropriate strategy.
% 0.10/0.16 % (3734907)------------------------------
% 0.10/0.16 % (3734907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.16 % (3734913)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3810991514:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.16 % (3734907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.16 % (3734907)CaDiCaL version: 2.1.3
% 0.10/0.16 % (3734907)Termination reason: Inappropriate
% 0.10/0.16 % (3734907)Time elapsed: 0.0000 s
% 0.10/0.16 % (3734907)Peak memory usage: 10 MB
% 0.10/0.16 % (3734908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3734902-3734908"...
% 0.10/0.16 % (3734912) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3734902-3734912"...
% 0.10/0.16 % (3734909) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3734902-3734909"...
% 0.10/0.16 % (3734910) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3734902-3734910"...
% 0.10/0.16 % (3734911) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3734902-3734911"...
% 0.10/0.16 % (3734907)------------------------------
% 0.10/0.16 % (3734907)------------------------------
% 0.10/0.16 % (3734913) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3734902-3734913"...
% 0.10/0.16 % (3734908)...printing done.
% 0.10/0.16 % (3734912)...printing done.
% 0.10/0.16 % (3734909)...printing done.
% 0.10/0.16 % (3734910)...printing done.
% 0.10/0.16 % (3734911)...printing done.
% 0.10/0.16 % (3734913)...printing done.
% 0.10/0.16 % (3734908)Refutation found. Thanks to Tanya!
% 0.10/0.16 % SZS status Theorem for theBenchmark
% 0.10/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.16 % (3734908)------------------------------
% 0.10/0.16 % (3734908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.16 % (3734908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.16 % (3734908)CaDiCaL version: 2.1.3
% 0.10/0.16 % (3734908)Termination reason: Refutation
% 0.10/0.16 % (3734908)Time elapsed: 0.0000 s
% 0.10/0.16 % (3734908)Peak memory usage: 11 MB
% 0.10/0.16 % (3734902)Success in time 0.025 s
% 0.10/0.16 % Vampire exiting
%------------------------------------------------------------------------------