%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI287_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 : n002.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 15:47:54 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 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   21 (   0 atm;   5 fun;  16 num;   0 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   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sF0: $rat ).

tff(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f24]) ).

tff(f24,plain,
    18/5 != sF0,
    inference(definition_folding,[],[f21,f23]) ).

tff(f23,plain,
    $product(2/5,9/1) = sF0,
    introduced(function_definition,[]) ).

tff(f21,plain,
    $product(2/5,9/1) != 18/5,
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    $product(2/5,9/1) != 18/5,
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $product(2/5,9/1) )
    = 18/5 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $product(2/5,9/1) = 18/5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_product_problem_4) ).

tff(f25,plain,
    18/5 = sF0,
    inference(evaluation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ARI287=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:44:28 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (16942)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49  % (16933)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)
% 0.19/0.49  % (16942)First to succeed.
% 0.19/0.49  % (16946)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.49  % (16938)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.49  % (16950)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.50  % (16946)Also succeeded, but the first one will report.
% 0.19/0.50  % (16942)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  % (16942)------------------------------
% 0.19/0.50  % (16942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16942)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (16942)Memory used [KB]: 5373
% 0.19/0.50  % (16942)Time elapsed: 0.006 s
% 0.19/0.50  % (16942)Instructions burned: 2 (million)
% 0.19/0.50  % (16942)------------------------------
% 0.19/0.50  % (16942)------------------------------
% 0.19/0.50  % (16923)Success in time 0.158 s
%------------------------------------------------------------------------------