%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN948+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 : n003.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 19:46:10 EDT 2022

% Result   : Theorem 0.23s 0.51s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   5   ~;   0   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   18 (  11   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f9]) ).

fof(f9,plain,
    ! [X0] : ~ a(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] : ~ a(X0,X0)
    & ! [X1] :
        ( a(X1,sK0(X1))
        & a(sK0(X1),sK0(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ! [X1] :
      ( ? [X2] :
          ( a(X1,X2)
          & a(X2,X2) )
     => ( a(X1,sK0(X1))
        & a(sK0(X1),sK0(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ! [X0] : ~ a(X0,X0)
    & ! [X1] :
      ? [X2] :
        ( a(X1,X2)
        & a(X2,X2) ) ),
    inference(rectify,[],[f3]) ).

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN948+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37  % Computer : n003.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 30 22:32:52 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.23/0.50  % (16592)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.23/0.51  % (16585)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.23/0.51  % (16577)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.23/0.51  % (16577)First to succeed.
% 0.23/0.51  % (16577)Refutation found. Thanks to Tanya!
% 0.23/0.51  % SZS status Theorem for theBenchmark
% 0.23/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51  % (16577)------------------------------
% 0.23/0.51  % (16577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.51  % (16577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.51  % (16577)Termination reason: Refutation
% 0.23/0.51  
% 0.23/0.51  % (16577)Memory used [KB]: 5373
% 0.23/0.51  % (16577)Time elapsed: 0.004 s
% 0.23/0.51  % (16577)Instructions burned: 1 (million)
% 0.23/0.51  % (16577)------------------------------
% 0.23/0.51  % (16577)------------------------------
% 0.23/0.51  % (16564)Success in time 0.133 s
%------------------------------------------------------------------------------