%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI303_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 : n003.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 0.23s 0.29s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 22 ( 0 atm; 5 fun; 15 num; 2 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 : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : ( $product(-15/16,-4/5) = 3/4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_20) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : ( $product(-15/16,-4/5) = 3/4 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
( ( ~ $product(-15/16,-4/5) ) = 3/4 ),
inference(rectify,[],[f2]) ).
tff(f21,plain,
$product(-15/16,-4/5) != 3/4,
inference(flattening,[],[f20]) ).
tff(f22,plain,
$product(-15/16,-4/5) != 3/4,
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
$false,
inference(evaluation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI303_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 % Computer : n003.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 20:48:58 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 Running first-order model finding
% 0.10/0.25 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
% 0.23/0.29 % (1988283)Will run a generic schedule for satisfiability detection.
% 0.23/0.29 % (1988292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=154195293:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.23/0.29 % (1988292) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1988283-1988292"...
% 0.23/0.29 % (1988292)...printing done.
% 0.23/0.29 % (1988290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3250300671:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.23/0.29 % (1988292)Refutation found. Thanks to Tanya!
% 0.23/0.29 % SZS status Theorem for theBenchmark
% 0.23/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.29 % (1988292)------------------------------
% 0.23/0.29 % (1988292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.29 % (1988292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.29 % (1988292)CaDiCaL version: 2.1.3
% 0.23/0.29 % (1988292)Termination reason: Refutation
% 0.23/0.29 % (1988292)Time elapsed: 0.001 s
% 0.23/0.29 % (1988292)Peak memory usage: 11 MB
% 0.23/0.29 % (1988283)Success in time 0.034 s
% 0.23/0.29 % Vampire exiting
%------------------------------------------------------------------------------