TSTP Solution File: SYN368+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN368+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n013.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 19:26:24 EDT 2022

% Result   : Theorem 0.99s 0.55s
% Output   : Refutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   11 (   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,plain,
    $false,
    inference(subsumption_resolution,[],[f6,f7]) ).

fof(f7,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( big_p(X0)
      & ~ big_p(sK0(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
          ( big_p(X0)
          & ~ big_p(X1) )
     => ( big_p(X0)
        & ~ big_p(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
      ( big_p(X0)
      & ~ big_p(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
        ( big_p(X0)
       => big_p(X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
      ( big_p(X0)
     => big_p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2119) ).

fof(f6,plain,
    ! [X0] : ~ big_p(sK0(X0)),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SYN368+1 : TPTP v8.1.0. Released v2.0.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 21:45:01 EDT 2022
% 0.10/0.32  % CPUTime    : 
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% 0.16/0.43  ipcrm: permission denied for id (785023103)
% 0.88/0.55  % (16486)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/82Mi)
% 0.88/0.55  % (16470)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 (2998ds/39Mi)
% 0.88/0.55  % (16470)First to succeed.
% 0.99/0.55  % (16470)Refutation found. Thanks to Tanya!
% 0.99/0.55  % SZS status Theorem for theBenchmark
% 0.99/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.99/0.55  % (16470)------------------------------
% 0.99/0.55  % (16470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/0.55  % (16470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/0.55  % (16470)Termination reason: Refutation
% 0.99/0.55  
% 0.99/0.55  % (16470)Memory used [KB]: 5884
% 0.99/0.55  % (16470)Time elapsed: 0.078 s
% 0.99/0.55  % (16470)Instructions burned: 1 (million)
% 0.99/0.55  % (16470)------------------------------
% 0.99/0.55  % (16470)------------------------------
% 0.99/0.55  % (16330)Success in time 0.227 s
%------------------------------------------------------------------------------