%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI296_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:34:22 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% 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 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 0 atm; 4 fun; 13 num; 3 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 : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(5/8,2/5) = X0 )
=> ( X0 = 1/4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_product_problem_13) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(5/8,2/5) = X0 )
=> ( X0 = 1/4 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 1/4 != X0 )
& ( $product(5/8,2/5) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
$product(5/8,2/5) = sK0,
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
1/4 != sK0,
inference(cnf_transformation,[],[f20]) ).
tff(f24,plain,
1/4 = sK0,
inference(evaluation,[],[f21]) ).
tff(f25,plain,
$false,
inference(forward_subsumption_resolution,[],[f24,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI296_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:46:49 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.21/0.27 % (2158634)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (2158639)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3360731833_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (2158639)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.27 % (2158639)Terminated due to inappropriate strategy.
% 0.21/0.27 % (2158639)------------------------------
% 0.21/0.27 % (2158639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (2158639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (2158639)CaDiCaL version: 2.1.3
% 0.21/0.27 % (2158639)Termination reason: Inappropriate
% 0.21/0.27 % (2158639)Time elapsed: 0.0000 s
% 0.21/0.27 % (2158639)Peak memory usage: 10 MB
% 0.21/0.27 % (2158639)------------------------------
% 0.21/0.27 % (2158639)------------------------------
% 0.21/0.27 % (2158640)% WARNING: option uhcvi not known.
% 0.21/0.27 % (2158640)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1779169827:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (2158641)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1099728663:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (2158642)dis+10_1_sil=32000:sp=arity:random_seed=3060866865:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (2158644)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3537689880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (2158643)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1749317190:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (2158645)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2387444195:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27 % (2158641) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2158634-2158641"...
% 0.21/0.27 % (2158640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2158634-2158640"...
% 0.21/0.27 % (2158642) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2158634-2158642"...
% 0.21/0.27 % (2158644) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2158634-2158644"...
% 0.21/0.27 % (2158643) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2158634-2158643"...
% 0.21/0.27 % (2158645) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2158634-2158645"...
% 0.21/0.27 % (2158640)...printing done.
% 0.21/0.27 % (2158641)...printing done.
% 0.21/0.27 % (2158642)...printing done.
% 0.21/0.27 % (2158644)...printing done.
% 0.21/0.27 % (2158643)...printing done.
% 0.21/0.27 % (2158645)...printing done.
% 0.21/0.27 % (2158640)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (2158640)------------------------------
% 0.21/0.27 % (2158640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (2158640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (2158640)CaDiCaL version: 2.1.3
% 0.21/0.27 % (2158640)Termination reason: Refutation
% 0.21/0.27 % (2158640)Time elapsed: 0.001 s
% 0.21/0.27 % (2158640)Peak memory usage: 12 MB
% 0.21/0.27 % (2158640)Instructions burned: 1 (million)
% 0.21/0.27 % (2158634)Success in time 0.037 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------