%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 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 : n013.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 19:25:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  15   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(resolution,[],[f18,f17]) ).

fof(f17,plain,
    ! [X0] : ~ p(f(f(f(X0)))),
    inference(subsumption_resolution,[],[f15,f16]) ).

fof(f16,plain,
    ! [X1] :
      ( ~ p(X1)
      | ~ p(f(f(f(X1)))) ),
    inference(resolution,[],[f12,f3]) ).

fof(f3,plain,
    ! [X0] :
      ( p(f(X0))
      | ~ p(X0) ),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( p(f(f(f(f(f(f(f(X0))))))))
      | p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',positive) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
      | ~ p(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative) ).

fof(f12,plain,
    ! [X1] :
      ( ~ p(f(f(f(f(X1)))))
      | ~ p(X1) ),
    inference(resolution,[],[f8,f3]) ).

fof(f8,plain,
    ! [X1] :
      ( ~ p(f(f(f(f(f(X1))))))
      | ~ p(X1) ),
    inference(resolution,[],[f6,f3]) ).

fof(f6,plain,
    ! [X1] :
      ( ~ p(f(f(f(f(f(f(X1)))))))
      | ~ p(X1) ),
    inference(resolution,[],[f4,f3]) ).

fof(f4,plain,
    ! [X0] :
      ( ~ p(f(f(f(f(f(f(f(X0))))))))
      | ~ p(X0) ),
    inference(resolution,[],[f3,f2]) ).

fof(f15,plain,
    ! [X0] :
      ( p(X0)
      | ~ p(f(f(f(X0)))) ),
    inference(resolution,[],[f12,f1]) ).

fof(f18,plain,
    ! [X0] : p(X0),
    inference(resolution,[],[f17,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:17:02 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (11137)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.50  % (11121)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.50  % (11121)First to succeed.
% 0.20/0.50  % (11121)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (11121)------------------------------
% 0.20/0.50  % (11121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (11121)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (11121)Memory used [KB]: 5756
% 0.20/0.50  % (11121)Time elapsed: 0.093 s
% 0.20/0.50  % (11121)Instructions burned: 1 (million)
% 0.20/0.50  % (11121)------------------------------
% 0.20/0.50  % (11121)------------------------------
% 0.20/0.50  % (11108)Success in time 0.137 s
%------------------------------------------------------------------------------