%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI447_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 15:46:09 EDT 2022

% Result   : Theorem 1.35s 0.54s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   33 (   0 atm;   7 fun;  22 num;   4 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    :    5 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

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

tff(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f26,f23]) ).

tff(f23,plain,
    29.0 != sK0,
    inference(cnf_transformation,[],[f22]) ).

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

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

tff(f20,plain,
    ? [X0: $real] :
      ( ( $product(7.25,4.0) = X0 )
      & ( 29.0 != 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/sandbox2/benchmark/theBenchmark.p',real_product_problem_12) ).

tff(f26,plain,
    29.0 = sK0,
    inference(evaluation,[],[f24]) ).

tff(f24,plain,
    $product(7.25,4.0) = sK0,
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : ARI447=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Aug 29 15:42:18 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  % (28185)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.23/0.52  % (28185)First to succeed.
% 0.23/0.53  % (28186)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.23/0.54  % (28198)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.23/0.54  % (28197)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.54  % (28186)Also succeeded, but the first one will report.
% 1.35/0.54  % (28197)Also succeeded, but the first one will report.
% 1.35/0.54  % (28185)Refutation found. Thanks to Tanya!
% 1.35/0.54  % SZS status Theorem for theBenchmark
% 1.35/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54  % (28185)------------------------------
% 1.35/0.54  % (28185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (28185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (28185)Termination reason: Refutation
% 1.35/0.54  
% 1.35/0.54  % (28185)Memory used [KB]: 5373
% 1.35/0.54  % (28185)Time elapsed: 0.004 s
% 1.35/0.54  % (28185)Instructions burned: 2 (million)
% 1.35/0.54  % (28185)------------------------------
% 1.35/0.54  % (28185)------------------------------
% 1.35/0.54  % (28180)Success in time 0.166 s
%------------------------------------------------------------------------------