%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI450_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 15:46:10 EDT 2022

% Result   : Theorem 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   25 (   0 atm;   5 fun;  17 num;   3 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $real * $real ) > $o ).

tff(f47,plain,
    $false,
    inference(subsumption_resolution,[],[f46,f42]) ).

tff(f42,plain,
    ! [X0: $real] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f23]) ).

tff(f23,plain,
    ! [X0: $real,X1: $real] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f46,plain,
    ~ sQ0_eqProxy(3.52,3.52),
    inference(evaluation,[],[f27]) ).

tff(f27,plain,
    ~ sQ0_eqProxy($product(-0.05,-70.4),3.52),
    inference(equality_proxy_replacement,[],[f21,f23]) ).

tff(f21,plain,
    $product(-0.05,-70.4) != 3.52,
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    $product(-0.05,-70.4) != 3.52,
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $product(-0.05,-70.4) )
    = 3.52 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $product(-0.05,-70.4) = 3.52,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_product_problem_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI450=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 15:42:33 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  % (28819)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.22/0.51  % (28803)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.22/0.51  % (28819)First to succeed.
% 0.22/0.51  % (28803)Also succeeded, but the first one will report.
% 0.22/0.51  % (28819)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Theorem for theBenchmark
% 0.22/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51  % (28819)------------------------------
% 0.22/0.51  % (28819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51  % (28819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51  % (28819)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (28819)Memory used [KB]: 5373
% 0.22/0.51  % (28819)Time elapsed: 0.006 s
% 0.22/0.51  % (28819)Instructions burned: 3 (million)
% 0.22/0.51  % (28819)------------------------------
% 0.22/0.51  % (28819)------------------------------
% 0.22/0.51  % (28792)Success in time 0.147 s
%------------------------------------------------------------------------------