%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI288_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 09:34:22 AM UTC 2026
% Result : Theorem 0.18s 0.26s
% Output : Refutation 0.18s
% 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(12/5,7/1) = 84/5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_5) ).
tff(f2,negated_conjecture,
( ( ~ $product(12/5,7/1) ) = 84/5 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
$product(12/5,7/1) != 84/5,
inference(flattening,[],[f2]) ).
tff(f21,plain,
$product(12/5,7/1) != 84/5,
inference(cnf_transformation,[],[f20]) ).
tff(f23,plain,
$false,
inference(evaluation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI288_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:48:45 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.18/0.26 % (1987606)Will run a generic schedule for satisfiability detection.
% 0.18/0.26 % (1987615)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1942597391:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.26 % (1987615) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1987606-1987615"...
% 0.18/0.26 % (1987615)...printing done.
% 0.18/0.26 % (1987615)Refutation found. Thanks to Tanya!
% 0.18/0.26 % SZS status Theorem for theBenchmark
% 0.18/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.26 % (1987615)------------------------------
% 0.18/0.26 % (1987615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (1987615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (1987615)CaDiCaL version: 2.1.3
% 0.18/0.26 % (1987615)Termination reason: Refutation
% 0.18/0.26 % (1987615)Time elapsed: 0.0000 s
% 0.18/0.26 % (1987615)Peak memory usage: 11 MB
% 0.18/0.26 % (1987606)Success in time 0.04 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------