%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI526_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 : n029.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 15:46:17 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   11 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   6   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number arithmetic     :   57 (   0 atm;  28 fun;  26 num;   3 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ0_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ1_eqProxy: ( $real * $real ) > $o ).

tff(pred_def_5,type,
    sQ2_eqProxy: ( $int * $int ) > $o ).

tff(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f66,f61]) ).

tff(f61,plain,
    ! [X0: $int] : sQ2_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f43]) ).

tff(f43,plain,
    ! [X0: $int,X1: $int] :
      ( sQ2_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).

tff(f66,plain,
    ~ sQ2_eqProxy(5,5),
    inference(evaluation,[],[f44]) ).

tff(f44,plain,
    ~ sQ2_eqProxy(5,$to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20)))),
    inference(equality_proxy_replacement,[],[f27,f43]) ).

tff(f27,plain,
    5 != $to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20))),
    inference(cnf_transformation,[],[f26]) ).

tff(f26,plain,
    5 != $to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20))),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ( ( ~ 5 )
    = $to_int($sum($to_rat($sum(4.05,3.6)),$uminus(53/20))) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $to_int($difference($to_rat($sum(4.05,3.6)),53/20)) )
    = 5 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $to_int($difference($to_rat($sum(4.05,3.6)),53/20)) = 5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_types_problem_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI526=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:55:11 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  % (4826)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.47  % (4818)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)
% 0.19/0.47  % (4826)First to succeed.
% 0.19/0.47  % (4826)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (4826)------------------------------
% 0.19/0.47  % (4826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (4826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (4826)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (4826)Memory used [KB]: 5500
% 0.19/0.47  % (4826)Time elapsed: 0.005 s
% 0.19/0.47  % (4826)Instructions burned: 2 (million)
% 0.19/0.47  % (4826)------------------------------
% 0.19/0.47  % (4826)------------------------------
% 0.19/0.47  % (4799)Success in time 0.126 s
%------------------------------------------------------------------------------