TSTP Solution File: SYN403+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN403+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_sat --cores 0 -t %d %s

% Computer : n004.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 19:37:48 EDT 2022

% Result   : Theorem 0.15s 0.57s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   59 (  21   ~;  12   |;  17   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   2   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f8]) ).

fof(f8,plain,
    f(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( g(sK0)
      | ~ f(sK0) )
    & ~ h(sK0)
    & f(sK0)
    & ( h(sK0)
      | ~ g(sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0] :
        ( ( g(X0)
          | ~ f(X0) )
        & ~ h(X0)
        & f(X0)
        & ( h(X0)
          | ~ g(X0) ) )
   => ( ( g(sK0)
        | ~ f(sK0) )
      & ~ h(sK0)
      & f(sK0)
      & ( h(sK0)
        | ~ g(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0] :
      ( ( g(X0)
        | ~ f(X0) )
      & ~ h(X0)
      & f(X0)
      & ( h(X0)
        | ~ g(X0) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
      ( ~ h(X0)
      & f(X0)
      & ( h(X0)
        | ~ g(X0) )
      & ( g(X0)
        | ~ f(X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ( g(X0)
           => h(X0) )
          & ( f(X0)
           => g(X0) ) )
       => ( f(X0)
         => h(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( ( g(X0)
         => h(X0) )
        & ( f(X0)
         => g(X0) ) )
     => ( f(X0)
       => h(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish234) ).

fof(f12,plain,
    ~ f(sK0),
    inference(resolution,[],[f10,f11]) ).

fof(f11,plain,
    ~ g(sK0),
    inference(subsumption_resolution,[],[f7,f9]) ).

fof(f9,plain,
    ~ h(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f7,plain,
    ( ~ g(sK0)
    | h(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( g(sK0)
    | ~ f(sK0) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n004.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 21:48:19 EDT 2022
% 0.09/0.30  % CPUTime    : 
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% 0.15/0.56  % (17821)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 0.15/0.56  % (17837)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 0.15/0.56  % (17846)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 0.15/0.56  % (17837)First to succeed.
% 0.15/0.57  % (17838)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.15/0.57  % (17846)Also succeeded, but the first one will report.
% 0.15/0.57  Detected maximum model sizes of [1]
% 0.15/0.57  % (17837)Refutation found. Thanks to Tanya!
% 0.15/0.57  % SZS status Theorem for theBenchmark
% 0.15/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.57  % (17837)------------------------------
% 0.15/0.57  % (17837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (17837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (17837)Termination reason: Refutation
% 0.15/0.57  
% 0.15/0.57  % (17837)Memory used [KB]: 895
% 0.15/0.57  % (17837)Time elapsed: 0.064 s
% 0.15/0.57  % (17837)Instructions burned: 1 (million)
% 0.15/0.57  % (17837)------------------------------
% 0.15/0.57  % (17837)------------------------------
% 0.15/0.57  % (17686)Success in time 0.267 s
%------------------------------------------------------------------------------