%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI119_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 : n020.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 15:45:29 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   27 (  14   ~;   7   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   45 (   0 atm;   8 fun;  24 num;  13 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    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   7   !;   6   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f28,plain,
    $false,
    inference(evaluation,[],[f26]) ).

tff(f26,plain,
    16 != $product(4,4),
    inference(equality_resolution,[],[f25]) ).

tff(f25,plain,
    ! [X1: $int] :
      ( ( 16 != $product(4,X1) )
      | ( 4 != X1 ) ),
    inference(equality_resolution,[],[f24]) ).

tff(f24,plain,
    ! [X0: $int,X1: $int] :
      ( ( $product(X0,X1) != 16 )
      | ( 4 != X0 )
      | ( 4 != X1 ) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: $int,X1: $int] :
      ( ( $product(X0,X1) != 16 )
      | ( 4 != X0 )
      | ( 4 != X1 ) ),
    inference(rectify,[],[f22]) ).

tff(f22,plain,
    ! [X1: $int,X0: $int] :
      ( ( 16 != $product(X1,X0) )
      | ( 4 != X1 )
      | ( 4 != X0 ) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f21,plain,
    ~ ? [X0: $int,X1: $int] :
        ( ( 16 = $product(X1,X0) )
        & ( 4 = X1 )
        & ( 4 = X0 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X1: $int,X0: $int] :
        ( ( $product(X0,X1) = 16 )
        & ( 4 = X1 )
        & ( 4 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X1: $int,X0: $int] :
      ( ( $product(X0,X1) = 16 )
      & ( 4 = X1 )
      & ( 4 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4_4_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI119=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n020.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   : Mon Aug 29 15:24:15 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.49  % (15272)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.49  % (15279)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.21/0.49  % (15272)First to succeed.
% 0.21/0.50  % (15264)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.21/0.50  % (15272)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Theorem for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (15272)------------------------------
% 0.21/0.50  % (15272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (15272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (15272)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (15272)Memory used [KB]: 5373
% 0.21/0.50  % (15272)Time elapsed: 0.006 s
% 0.21/0.50  % (15272)Instructions burned: 1 (million)
% 0.21/0.50  % (15272)------------------------------
% 0.21/0.50  % (15272)------------------------------
% 0.21/0.50  % (15256)Success in time 0.148 s
%------------------------------------------------------------------------------