%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN730+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 1.51s 0.57s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   20 (   6   ~;   7   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   19 (  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(resolution,[],[f8,f6]) ).

fof(f6,plain,
    ! [X2,X0] : ~ p(X0,sK0(X0),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X2] :
      ( ( p(X0,sK0(X0),k(sK0(X0)))
        | p(a,sK0(X0),h(sK0(X0))) )
      & ~ p(X0,sK0(X0),X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( p(X0,X1,k(X1))
            | p(a,X1,h(X1)) )
          & ~ p(X0,X1,X2) )
     => ! [X2] :
          ( ( p(X0,sK0(X0),k(sK0(X0)))
            | p(a,sK0(X0),h(sK0(X0))) )
          & ~ p(X0,sK0(X0),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( p(X0,X1,k(X1))
        | p(a,X1,h(X1)) )
      & ~ p(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( p(X0,X1,k(X1))
          | p(a,X1,h(X1)) )
       => p(X0,X1,X2) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( p(X0,X1,k(X1))
        | p(a,X1,h(X1)) )
     => p(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm75) ).

fof(f8,plain,
    ! [X0] : p(a,sK0(X0),h(sK0(X0))),
    inference(subsumption_resolution,[],[f7,f6]) ).

fof(f7,plain,
    ! [X0] :
      ( p(X0,sK0(X0),k(sK0(X0)))
      | p(a,sK0(X0),h(sK0(X0))) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : 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    : 
% 1.51/0.56  % (21455)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.51/0.57  % (21468)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.51/0.57  % (21460)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)
% 1.51/0.57  % (21460)First to succeed.
% 1.51/0.57  % (21455)Also succeeded, but the first one will report.
% 1.51/0.57  % (21460)Refutation found. Thanks to Tanya!
% 1.51/0.57  % SZS status Theorem for theBenchmark
% 1.51/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.57  % (21460)------------------------------
% 1.51/0.57  % (21460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (21460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (21460)Termination reason: Refutation
% 1.51/0.57  
% 1.51/0.57  % (21460)Memory used [KB]: 5884
% 1.51/0.57  % (21460)Time elapsed: 0.145 s
% 1.51/0.57  % (21460)Instructions burned: 2 (million)
% 1.51/0.57  % (21460)------------------------------
% 1.51/0.57  % (21460)------------------------------
% 1.51/0.57  % (21453)Success in time 0.222 s
%------------------------------------------------------------------------------