%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE051+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n023.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 17:27:55 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  11 unt;   0 def)
%            Number of atoms       :   15 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   8   ~;   0   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(subsumption_resolution,[],[f69,f66]) ).

fof(f66,plain,
    ! [X0] : sQ1_eqProxy(addition(X0,X0),X0),
    inference(equality_proxy_replacement,[],[f48,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( sQ1_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).

fof(f48,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f69,plain,
    ~ sQ1_eqProxy(addition(sK0,sK0),sK0),
    inference(equality_proxy_replacement,[],[f51,f53]) ).

fof(f51,plain,
    addition(sK0,sK0) != sK0,
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    addition(sK0,sK0) != sK0,
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f33]) ).

fof(f33,plain,
    ( ? [X0] : addition(X0,X0) != X0
   => addition(sK0,sK0) != sK0 ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0] : addition(X0,X0) != X0,
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ~ ! [X0] : addition(X0,X0) = X0,
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3] : addition(X3,X3) = X3,
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3] : addition(X3,X3) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KLE051+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 : n023.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   : Tue Aug 30 00:45:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (26163)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (26154)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51  % (26154)First to succeed.
% 0.19/0.51  % (26154)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (26154)------------------------------
% 0.19/0.51  % (26154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (26154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (26154)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (26154)Memory used [KB]: 1407
% 0.19/0.51  % (26154)Time elapsed: 0.005 s
% 0.19/0.51  % (26154)Instructions burned: 1 (million)
% 0.19/0.51  % (26154)------------------------------
% 0.19/0.51  % (26154)------------------------------
% 0.19/0.51  % (26141)Success in time 0.159 s
%------------------------------------------------------------------------------