%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --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 15:47:29 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   24 (  13   ~;   7   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   39 (   0 atm;   7 fun;  21 num;  11 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   :   11 (   7   !;   4   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f27,plain,
    $false,
    inference(evaluation,[],[f25]) ).

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

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

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

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

tff(f21,plain,
    ! [X1: $int,X0: $int] :
      ( ( 4 != X1 )
      | ( $product(X0,X1) != 16 )
      | ( 4 != X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

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

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( ( 4 = X1 )
      & ( 4 = X0 )
      & ( $product(X0,X1) = 16 ) ),
    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_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 15:22:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.47  % (22206)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.48  % (22198)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.48  % (22187)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.48  % (22187)First to succeed.
% 0.20/0.48  % (22187)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Theorem for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (22187)------------------------------
% 0.20/0.48  % (22187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (22187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (22187)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (22187)Memory used [KB]: 895
% 0.20/0.48  % (22187)Time elapsed: 0.002 s
% 0.20/0.48  % (22187)Instructions burned: 2 (million)
% 0.20/0.48  % (22187)------------------------------
% 0.20/0.48  % (22187)------------------------------
% 0.20/0.48  % (22177)Success in time 0.135 s
%------------------------------------------------------------------------------