%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI282_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 10:35:00 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   24 (   0 atm;   8 fun;  16 num;   0 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   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(f19,plain,
    $false,
    inference(subsumption_resolution,[],[f18,f17]) ).

tff(f17,plain,
    ~ p(1/3),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ( ~ p(1/3)
    & p($sum(5/12,$uminus(1/12))) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ( p($sum(5/12,$uminus(1/12)))
     => p(1/3) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( p($difference(5/12,1/12))
     => p(1/3) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( p($difference(5/12,1/12))
   => p(1/3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_10) ).

tff(f18,plain,
    p(1/3),
    inference(evaluation,[],[f16]) ).

tff(f16,plain,
    p($sum(5/12,$uminus(1/12))),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI282_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 05:50:44 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (7656)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (7661)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (7661)First to succeed.
% 0.14/0.38  % (7661)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (7661)------------------------------
% 0.14/0.38  % (7661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (7661)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (7661)Memory used [KB]: 729
% 0.14/0.38  % (7661)Time elapsed: 0.002 s
% 0.14/0.38  % (7661)Instructions burned: 2 (million)
% 0.14/0.38  % (7661)------------------------------
% 0.14/0.38  % (7661)------------------------------
% 0.14/0.38  % (7656)Success in time 0.013 s
%------------------------------------------------------------------------------