%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI555_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 : n018.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 09:34:51 AM UTC 2026
% Result : Theorem 0.25s 0.34s
% Output : Refutation 0.25s
% 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 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 30 ( 5 atm; 10 fun; 15 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
$greatereq($uminus($product(-18/25,-1/4)),-9/50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_15) ).
tff(f2,negated_conjecture,
~ $greatereq($uminus($product(-18/25,-1/4)),-9/50),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ~ $less($uminus($product(-18/25,-1/4)),-9/50),
inference(theory_normalization,[],[f2]) ).
tff(f21,plain,
$less($uminus($product(-18/25,-1/4)),-9/50),
inference(flattening,[],[f3]) ).
tff(f22,plain,
$less($uminus($product(-18/25,-1/4)),-9/50),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
$false,
inference(evaluation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI555_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 % Computer : n018.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 20:54:25 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.31 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
% 0.25/0.34 % (3767010)Will run a generic schedule for satisfiability detection.
% 0.25/0.34 % (3767016)% WARNING: option uhcvi not known.
% 0.25/0.34 % (3767021)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=520131114:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.34 % (3767021) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3767010-3767021"...
% 0.25/0.34 % (3767021)...printing done.
% 0.25/0.34 % (3767016)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1812186787:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.34 % (3767021)Refutation found. Thanks to Tanya!
% 0.25/0.34 % SZS status Theorem for theBenchmark
% 0.25/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.34 % (3767021)------------------------------
% 0.25/0.34 % (3767021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (3767021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (3767021)CaDiCaL version: 2.1.3
% 0.25/0.34 % (3767021)Termination reason: Refutation
% 0.25/0.34 % (3767021)Time elapsed: 0.001 s
% 0.25/0.34 % (3767021)Peak memory usage: 11 MB
% 0.25/0.34 % (3767010)Success in time 0.025 s
% 0.25/0.34 % Vampire exiting
%------------------------------------------------------------------------------