%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI282_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n002.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 : Wed Aug 31 15:45:49 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% 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,[],[f17,f18]) ).

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

tff(f16,plain,
    p($sum(5/12,$uminus(1/12))),
    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(f17,plain,
    ~ p(1/3),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI282=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:44:13 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (16337)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.19/0.48  % (16330)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.19/0.49  % (16337)First to succeed.
% 0.19/0.49  % (16348)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.49  % (16337)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (16337)------------------------------
% 0.19/0.49  % (16337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (16337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (16337)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (16337)Memory used [KB]: 5373
% 0.19/0.49  % (16337)Time elapsed: 0.003 s
% 0.19/0.49  % (16337)Instructions burned: 2 (million)
% 0.19/0.49  % (16337)------------------------------
% 0.19/0.49  % (16337)------------------------------
% 0.19/0.49  % (16329)Success in time 0.145 s
%------------------------------------------------------------------------------