%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI292_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 : n001.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 15:45:51 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :    8 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   21 (   0 atm;   5 fun;  11 num;   5 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sP0: $rat > $o ).

tff(f26,plain,
    $false,
    inference(resolution,[],[f25,f23]) ).

tff(f23,plain,
    ! [X0: $rat] : sP0(X0),
    inference(inequality_splitting,[],[f21,f22]) ).

tff(f22,plain,
    ~ sP0($product(11/2,11/2)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

tff(f21,plain,
    ! [X0: $rat] : ( $product(11/2,11/2) != X0 ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X0: $rat] : ( $product(11/2,11/2) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : ( $product(11/2,11/2) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : ( $product(11/2,11/2) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_9) ).

tff(f25,plain,
    ~ sP0(121/4),
    inference(evaluation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI292=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.13  % 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 : n001.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 15:53:29 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (16631)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 (2999ds/36Mi)
% 0.19/0.50  % (16631)First to succeed.
% 0.19/0.50  % (16647)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (16631)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (16631)------------------------------
% 0.19/0.50  % (16631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16631)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (16631)Memory used [KB]: 5373
% 0.19/0.50  % (16631)Time elapsed: 0.084 s
% 0.19/0.50  % (16631)Instructions burned: 2 (million)
% 0.19/0.50  % (16631)------------------------------
% 0.19/0.50  % (16631)------------------------------
% 0.19/0.50  % (16623)Success in time 0.148 s
%------------------------------------------------------------------------------