%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN965+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n016.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 19:46:13 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   47 (  15   ~;   8   |;  19   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   37 (  28   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f13]) ).

fof(f13,plain,
    ! [X2,X3] : ~ p(X3,X2),
    inference(subsumption_resolution,[],[f11,f9]) ).

fof(f9,plain,
    ! [X2,X3,X0] :
      ( ~ p(X3,X2)
      | p(X2,X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X2] :
      ( ( ~ p(X2,sK0(X0))
        & p(X2,X0)
        & p(X0,X2) )
      | ( p(X2,sK0(X0))
        & ! [X3] : ~ p(X3,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( ~ p(X2,X1)
            & p(X2,X0)
            & p(X0,X2) )
          | ( p(X2,X1)
            & ! [X3] : ~ p(X3,X2) ) )
     => ! [X2] :
          ( ( ~ p(X2,sK0(X0))
            & p(X2,X0)
            & p(X0,X2) )
          | ( p(X2,sK0(X0))
            & ! [X3] : ~ p(X3,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ p(X2,X1)
        & p(X2,X0)
        & p(X0,X2) )
      | ( p(X2,X1)
        & ! [X3] : ~ p(X3,X2) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( p(X2,X1)
        & ! [X3] : ~ p(X3,X2) )
      | ( ~ p(X2,X1)
        & p(X0,X2)
        & p(X2,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( p(X2,X1)
         => ? [X3] : p(X3,X2) )
        & ( ( p(X0,X2)
            & p(X2,X0) )
         => p(X2,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( p(X2,X1)
       => ? [X3] : p(X3,X2) )
      & ( ( p(X0,X2)
          & p(X2,X0) )
       => p(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f11,plain,
    ! [X2,X3,X0] :
      ( ~ p(X2,sK0(X0))
      | ~ p(X3,X2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ! [X2,X0] : p(X2,sK0(X0)),
    inference(subsumption_resolution,[],[f8,f13]) ).

fof(f8,plain,
    ! [X2,X0] :
      ( p(X0,X2)
      | p(X2,sK0(X0)) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN965+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.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 22:55:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (8246)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 (3000ds/75Mi)
% 0.19/0.46  % (8246)First to succeed.
% 0.19/0.47  % (8246)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (8246)------------------------------
% 0.19/0.47  % (8246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (8246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (8246)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (8246)Memory used [KB]: 895
% 0.19/0.47  % (8246)Time elapsed: 0.004 s
% 0.19/0.47  % (8246)Instructions burned: 1 (million)
% 0.19/0.47  % (8246)------------------------------
% 0.19/0.47  % (8246)------------------------------
% 0.19/0.47  % (8230)Success in time 0.121 s
%------------------------------------------------------------------------------