%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI447_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 : n011.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 09:34:38 AM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 26 ( 0 atm; 5 fun; 18 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: $real ).
tff(f1,conjecture,
! [X0: $real] :
( ( $product(29/4,4/1) = X0 )
=> ( X0 = 29/1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_product_problem_12) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $product(29/4,4/1) = X0 )
=> ( X0 = 29/1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
? [X0: $real] :
( ( 29/1 != X0 )
& ( $product(29/4,4/1) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
( ( 29/1 != sK0 )
& ( $product(29/4,4/1) = sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
tff(f22,plain,
$product(29/4,4/1) = sK0,
inference(cnf_transformation,[],[f21]) ).
tff(f23,plain,
29/1 != sK0,
inference(cnf_transformation,[],[f21]) ).
tff(f25,plain,
29/1 = sK0,
inference(evaluation,[],[f22]) ).
tff(f26,plain,
29/1 != 29/1,
inference(superposition,[],[f23,f25]) ).
tff(f27,plain,
$false,
inference(trivial_inequality_removal,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI447_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 : n011.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 20:50:31 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 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
% 0.10/0.27 % (3765151)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (3765162)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=826305197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.27 % (3765162) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3765151-3765162"...
% 0.10/0.27 % (3765162)...printing done.
% 0.10/0.27 % (3765162)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Theorem for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27 % (3765162)------------------------------
% 0.10/0.27 % (3765162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (3765162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (3765162)CaDiCaL version: 2.1.3
% 0.10/0.27 % (3765162)Termination reason: Refutation
% 0.10/0.27 % (3765162)Time elapsed: 0.001 s
% 0.10/0.27 % (3765162)Peak memory usage: 12 MB
% 0.10/0.27 % (3765162)Instructions burned: 1 (million)
% 0.10/0.27 % (3765151)Success in time 0.014 s
% 0.10/0.27 % Vampire exiting
%------------------------------------------------------------------------------