TSTP Solution File: SET054+1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n014.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 18:18:47 EDT 2022

% Result   : Theorem 1.47s 0.58s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   29 (   7 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   29 (  13   ~;   7   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,plain,
    $false,
    inference(resolution,[],[f66,f58]) ).

fof(f58,plain,
    ~ subclass(sK0,sK0),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ~ subclass(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f50]) ).

fof(f50,plain,
    ( ? [X0] : ~ subclass(X0,X0)
   => ~ subclass(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0] : ~ subclass(X0,X0),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0] : subclass(X0,X0),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0] : subclass(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).

fof(f66,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ( ( subclass(X0,X1)
          & subclass(X1,X0) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subclass(X0,X1)
        | ~ subclass(X1,X0) ) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( ( subclass(X0,X1)
          & subclass(X1,X0) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subclass(X0,X1)
        | ~ subclass(X1,X0) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        & subclass(X1,X0) )
    <=> X0 = X1 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( subclass(X0,X1)
        & subclass(X1,X0) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 13:04:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (2390)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.47/0.58  % (2391)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.58  % (2391)First to succeed.
% 1.47/0.58  % (2391)Refutation found. Thanks to Tanya!
% 1.47/0.58  % SZS status Theorem for theBenchmark
% 1.47/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.58  % (2391)------------------------------
% 1.47/0.58  % (2391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (2391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (2391)Termination reason: Refutation
% 1.47/0.58  
% 1.47/0.58  % (2391)Memory used [KB]: 5884
% 1.47/0.58  % (2391)Time elapsed: 0.137 s
% 1.47/0.58  % (2391)Instructions burned: 2 (million)
% 1.47/0.58  % (2391)------------------------------
% 1.47/0.58  % (2391)------------------------------
% 1.47/0.58  % (2384)Success in time 0.222 s
%------------------------------------------------------------------------------