%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN957+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 : 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 19:46:12 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   2 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   34 (  16   ~;  10   |;   4   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   9   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f8]) ).

fof(f8,plain,
    ! [X1] :
      ( ~ a(X1,X1)
      | ~ a(X1,sK0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X1] :
      ( ( ~ a(X1,X1)
        | ~ a(X1,sK0) )
      & ( a(X1,sK0)
        | a(X1,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

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

fof(f4,plain,
    ? [X0] :
    ! [X1] :
      ( ( ~ a(X1,X1)
        | ~ a(X1,X0) )
      & ( a(X1,X0)
        | a(X1,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1] :
      ( ~ a(X1,X1)
    <=> a(X1,X0) ),
    inference(flattening,[],[f2]) ).

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

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

fof(f9,plain,
    a(sK0,sK0),
    inference(factoring,[],[f7]) ).

fof(f7,plain,
    ! [X1] :
      ( a(X1,sK0)
      | a(X1,X1) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN957+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:29:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (7985)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.49  % (7977)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.49  % (7985)First to succeed.
% 0.19/0.49  % (7985)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (7985)------------------------------
% 0.19/0.49  % (7985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (7985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (7985)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (7985)Memory used [KB]: 895
% 0.19/0.49  % (7985)Time elapsed: 0.057 s
% 0.19/0.49  % (7985)Instructions burned: 1 (million)
% 0.19/0.49  % (7985)------------------------------
% 0.19/0.49  % (7985)------------------------------
% 0.19/0.49  % (7961)Success in time 0.148 s
%------------------------------------------------------------------------------