%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI282_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 : n004.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 09:34:21 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 29 ( 0 atm; 10 fun; 19 num; 0 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $rat > $o ).
tff(f1,conjecture,
( p($difference(5/12,1/12))
=> p(1/3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_10) ).
tff(f2,negated_conjecture,
~ ( p($difference(5/12,1/12))
=> p(1/3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( p($sum(5/12,$uminus(1/12)))
=> p(1/3) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
( ~ p(1/3)
& p($sum(5/12,$uminus(1/12))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
p($sum(5/12,$uminus(1/12))),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
~ p(1/3),
inference(cnf_transformation,[],[f15]) ).
tff(f18,plain,
p(1/3),
inference(consistent_polarity_flipping,[],[f17]) ).
tff(f19,plain,
~ p($sum(5/12,$uminus(1/12))),
inference(consistent_polarity_flipping,[],[f16]) ).
tff(f20,plain,
~ p(1/3),
inference(evaluation,[],[f19]) ).
tff(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI282_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:45:52 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (745668)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (745674)% WARNING: option uhcvi not known.
% 0.08/0.25 % (745674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=138168428:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (745674) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-745668-745674"...
% 0.08/0.25 % (745674)...printing done.
% 0.08/0.25 % (745674)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (745674)------------------------------
% 0.08/0.25 % (745674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (745674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (745674)CaDiCaL version: 2.1.3
% 0.08/0.25 % (745674)Termination reason: Refutation
% 0.08/0.25 % (745674)Time elapsed: 0.001 s
% 0.08/0.25 % (745674)Peak memory usage: 12 MB
% 0.08/0.25 % (745668)Success in time 0.029 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------