TSTP Solution File: SYN729+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : 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 19:28:14 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   65 (  19   ~;  12   |;  22   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   30 (  20   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(unit_resulting_resolution,[],[f43,f22,f9]) ).

fof(f9,plain,
    ! [X2] :
      ( p(g(X2))
      | ~ p(X2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ l(X3,X4)
            | ~ p(X4) )
        & p(X3) )
    & ! [X2] :
        ( ~ p(X2)
        | ( p(h(X2))
          & p(g(X2)) ) )
    & ! [X0] :
      ? [X1] :
        ( ~ p(X0)
        | ( p(X1)
          & l(X0,g(h(X1))) ) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ l(X3,X4)
            | ~ p(X4) )
        & p(X3) )
    & ! [X2] :
        ( ~ p(X2)
        | ( p(h(X2))
          & p(g(X2)) ) )
    & ! [X0] :
      ? [X1] :
        ( ~ p(X0)
        | ( p(X1)
          & l(X0,g(h(X1))) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X2] :
            ( p(X2)
           => ( p(h(X2))
              & p(g(X2)) ) )
        & ! [X0] :
          ? [X1] :
            ( p(X0)
           => ( p(X1)
              & l(X0,g(h(X1))) ) ) )
     => ! [X3] :
          ( p(X3)
         => ? [X4] :
              ( p(X4)
              & l(X3,X4) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X2] :
            ( p(X2)
           => ( p(h(X2))
              & p(g(X2)) ) )
        & ! [X0] :
          ? [X1] :
            ( p(X0)
           => ( p(X1)
              & l(X0,g(h(X1))) ) ) )
     => ! [X0] :
          ( p(X0)
         => ? [X1] :
              ( l(X0,X1)
              & p(X1) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X2] :
          ( p(X2)
         => ( p(h(X2))
            & p(g(X2)) ) )
      & ! [X0] :
        ? [X1] :
          ( p(X0)
         => ( p(X1)
            & l(X0,g(h(X1))) ) ) )
   => ! [X0] :
        ( p(X0)
       => ? [X1] :
            ( l(X0,X1)
            & p(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72) ).

fof(f22,plain,
    p(h(sK1(sK0))),
    inference(unit_resulting_resolution,[],[f13,f10]) ).

fof(f10,plain,
    ! [X2] :
      ( p(h(X2))
      | ~ p(X2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    p(sK1(sK0)),
    inference(unit_resulting_resolution,[],[f11,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( p(sK1(X0))
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    p(sK0),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ~ p(g(h(sK1(sK0)))),
    inference(subsumption_resolution,[],[f42,f11]) ).

fof(f42,plain,
    ( ~ p(g(h(sK1(sK0))))
    | ~ p(sK0) ),
    inference(resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X4] :
      ( ~ l(sK0,X4)
      | ~ p(X4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X0] :
      ( l(X0,g(h(sK1(X0))))
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % 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 : n004.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 22:15:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (21493)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (21494)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52  % (21494)First to succeed.
% 0.19/0.52  % (21493)Also succeeded, but the first one will report.
% 0.19/0.52  % (21494)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (21494)------------------------------
% 0.19/0.52  % (21494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (21494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (21494)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (21494)Memory used [KB]: 5884
% 0.19/0.52  % (21494)Time elapsed: 0.104 s
% 0.19/0.52  % (21494)Instructions burned: 2 (million)
% 0.19/0.52  % (21494)------------------------------
% 0.19/0.52  % (21494)------------------------------
% 0.19/0.52  % (21485)Success in time 0.175 s
%------------------------------------------------------------------------------