%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI447_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 : Mon May 20 18:50:23 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   6 unt;   1 typ;   0 def)
%            Number of atoms       :   20 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   34 (   0 atm;   7 fun;  23 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

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

tff(f33,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f32]) ).

tff(f32,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f26,f28]) ).

tff(f28,plain,
    ( spl1_1
  <=> ( 29.0 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f26,plain,
    29.0 = sK0,
    inference(evaluation,[],[f23]) ).

tff(f23,plain,
    $product(7.25,4.0) = sK0,
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ( ( 29.0 != sK0 )
    & ( $product(7.25,4.0) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).

tff(f21,plain,
    ( ? [X0: $real] :
        ( ( 29.0 != X0 )
        & ( $product(7.25,4.0) = X0 ) )
   => ( ( 29.0 != sK0 )
      & ( $product(7.25,4.0) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f20,plain,
    ? [X0: $real] :
      ( ( 29.0 != X0 )
      & ( $product(7.25,4.0) = X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( ( $product(7.25,4.0) = X0 )
       => ( 29.0 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( ( $product(7.25,4.0) = X0 )
     => ( 29.0 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_12) ).

tff(f31,plain,
    ~ spl1_1,
    inference(avatar_split_clause,[],[f24,f28]) ).

tff(f24,plain,
    29.0 != sK0,
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI447_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 13:27:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (17924)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (17927)WARNING: value z3 for option sas not known
% 0.14/0.36  % (17927)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  % (17929)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (17931)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (17929)First to succeed.
% 0.14/0.37  % (17927)Also succeeded, but the first one will report.
% 0.14/0.37  % (17929)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17924"
% 0.14/0.37  % (17928)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (17929)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (17929)------------------------------
% 0.14/0.37  % (17929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (17929)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (17929)Memory used [KB]: 750
% 0.14/0.37  % (17929)Time elapsed: 0.004 s
% 0.14/0.37  % (17929)Instructions burned: 3 (million)
% 0.14/0.37  % (17924)Success in time 0.007 s
%------------------------------------------------------------------------------