%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI547_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 : n005.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 15:46:24 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   42 (   8 atm;   8 fun;  18 num;   8 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   6   !;   2   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f62,plain,
    $false,
    inference(evaluation,[],[f58]) ).

tff(f58,plain,
    27 != $product($sum(8,1),3),
    inference(unit_resulting_resolution,[],[f46,f22]) ).

tff(f22,plain,
    ! [X0: $int] :
      ( ( $product(X0,3) != 27 )
      | ~ $less(8,X0) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] :
      ( ~ $less(8,X0)
      | ( $product(X0,3) != 27 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] :
        ( ( $product(X0,3) = 27 )
        & $less(8,X0) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] :
      ( ( $product(X0,3) = 27 )
      & $less(8,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_11) ).

tff(f46,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(unit_resulting_resolution,[],[f8,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_152,[]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ARI547=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n005.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon Aug 29 15:46:48 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (28421)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 (3000ds/37Mi)
% 0.20/0.49  % (28443)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.20/0.50  % (28421)First to succeed.
% 0.20/0.50  % (28435)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)
% 0.20/0.50  % (28421)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (28421)------------------------------
% 0.20/0.50  % (28421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (28421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (28421)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (28421)Memory used [KB]: 5500
% 0.20/0.50  % (28421)Time elapsed: 0.111 s
% 0.20/0.50  % (28421)Instructions burned: 5 (million)
% 0.20/0.50  % (28421)------------------------------
% 0.20/0.50  % (28421)------------------------------
% 0.20/0.50  % (28416)Success in time 0.158 s
%------------------------------------------------------------------------------