%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI006_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 : n025.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 15:45:12 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   27 (   9 atm;   1 fun;   1 num;  16 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    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (  10   !;   6   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f19,f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] : ~ $less(X0,X1),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] : ~ $less(X0,X1),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X1: $int,X0: $int] : ~ $less(X1,X0),
    inference(ennf_transformation,[],[f15]) ).

tff(f15,plain,
    ~ ? [X0: $int,X1: $int] : $less(X1,X0),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X1: $int,X0: $int] : $less(X0,X1),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X1: $int,X0: $int] : $less(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_something) ).

tff(f19,plain,
    ! [X0: $int,X1: $int] : $less(X0,X1),
    inference(resolution,[],[f18,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ARI006=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 15:26:44 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  % (16649)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)
% 0.20/0.47  % (16649)First to succeed.
% 0.20/0.48  % (16649)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  % (16649)------------------------------
% 0.20/0.48  % (16649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (16649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (16649)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (16649)Memory used [KB]: 5373
% 0.20/0.48  % (16649)Time elapsed: 0.064 s
% 0.20/0.48  % (16649)Instructions burned: 1 (million)
% 0.20/0.48  % (16649)------------------------------
% 0.20/0.48  % (16649)------------------------------
% 0.20/0.48  % (16641)Success in time 0.118 s
%------------------------------------------------------------------------------