%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI706_1 : TPTP v8.1.0. Released v6.3.0.
% 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 : n016.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 15:46:56 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  10 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   34 (   0 atm;  22 fun;  12 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_0,type,
    d: $int ).

tff(f28,plain,
    $false,
    inference(evaluation,[],[f27]) ).

tff(f27,plain,
    $product(2,0) != 0,
    inference(forward_demodulation,[],[f25,f26]) ).

tff(f26,plain,
    $product(d,d) = 0,
    inference(cancellation,[],[f23]) ).

tff(f23,plain,
    $product(d,d) = $product($product(2,d),d),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $product(d,d) = $product($product(2,d),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).

tff(f25,plain,
    $product(2,$product(d,d)) != 0,
    inference(cancellation,[],[f24]) ).

tff(f24,plain,
    $product(d,d) != $product($product(d,3),d),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    $product(d,d) != $product($product(d,3),d),
    inference(flattening,[],[f3]) ).

tff(f3,negated_conjecture,
    ( ( ~ $product(d,d) )
    = $product($product(d,3),d) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    $product(d,d) = $product($product(d,3),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ARI706=1 : TPTP v8.1.0. Released v6.3.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.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 16:19:59 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (25090)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.49  % (25090)Refutation not found, incomplete strategy% (25090)------------------------------
% 0.18/0.49  % (25090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (25090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (25090)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (25090)Memory used [KB]: 5373
% 0.18/0.49  % (25090)Time elapsed: 0.091 s
% 0.18/0.49  % (25090)Instructions burned: 2 (million)
% 0.18/0.49  % (25090)------------------------------
% 0.18/0.49  % (25090)------------------------------
% 0.18/0.49  % (25082)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.49  % (25082)First to succeed.
% 0.18/0.49  % (25082)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (25082)------------------------------
% 0.18/0.49  % (25082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (25082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (25082)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (25082)Memory used [KB]: 5373
% 0.18/0.49  % (25082)Time elapsed: 0.004 s
% 0.18/0.49  % (25082)Instructions burned: 1 (million)
% 0.18/0.49  % (25082)------------------------------
% 0.18/0.49  % (25082)------------------------------
% 0.18/0.49  % (25071)Success in time 0.15 s
%------------------------------------------------------------------------------