%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI278_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 : n014.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 15:45:48 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   8   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   46 (   0 atm;  14 fun;  27 num;   5 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $rat ).

tff(f23,plain,
    $false,
    inference(trivial_inequality_removal,[],[f22]) ).

tff(f22,plain,
    1/3 != 1/3,
    inference(superposition,[],[f18,f20]) ).

tff(f20,plain,
    1/3 = sK0,
    inference(evaluation,[],[f19]) ).

tff(f19,plain,
    $sum(5/12,$uminus(1/12)) = sK0,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( $sum(5/12,$uminus(1/12)) = sK0 )
    & ( 1/3 != sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $rat] :
        ( ( $sum(5/12,$uminus(1/12)) = X0 )
        & ( 1/3 != X0 ) )
   => ( ( $sum(5/12,$uminus(1/12)) = sK0 )
      & ( 1/3 != sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $rat] :
      ( ( $sum(5/12,$uminus(1/12)) = X0 )
      & ( 1/3 != X0 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $rat] :
        ( ( $sum(5/12,$uminus(1/12)) = X0 )
       => ( 1/3 = X0 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] :
        ( ( $difference(5/12,1/12) = X0 )
       => ( 1/3 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] :
      ( ( $difference(5/12,1/12) = X0 )
     => ( 1/3 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_6) ).

tff(f18,plain,
    1/3 != sK0,
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI278=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 15:32:33 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (16602)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.19/0.49  % (16594)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49  % (16594)First to succeed.
% 0.19/0.49  % (16602)Also succeeded, but the first one will report.
% 0.19/0.49  % (16594)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  % (16594)------------------------------
% 0.19/0.49  % (16594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (16594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (16594)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (16594)Memory used [KB]: 5500
% 0.19/0.49  % (16594)Time elapsed: 0.059 s
% 0.19/0.49  % (16594)Instructions burned: 1 (million)
% 0.19/0.49  % (16594)------------------------------
% 0.19/0.49  % (16594)------------------------------
% 0.19/0.49  % (16579)Success in time 0.146 s
%------------------------------------------------------------------------------