%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n017.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 19:36:32 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
% 0.04/0.13  % Problem    : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.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 20:44:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  % (8364)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.48  % (8382)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.49  % (8374)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.49  TRYING [1]
% 0.20/0.49  TRYING [2]
% 0.20/0.49  TRYING [3]
% 0.20/0.49  TRYING [4]
% 0.20/0.49  TRYING [5]
% 0.20/0.49  TRYING [6]
% 0.20/0.50  TRYING [7]
% 0.20/0.50  % (8382)First to succeed.
% 0.20/0.50  % (8363)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.50  % (8382)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  % (8382)------------------------------
% 0.20/0.50  % (8382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (8382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (8382)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (8382)Memory used [KB]: 5373
% 0.20/0.50  % (8382)Time elapsed: 0.096 s
% 0.20/0.50  % (8382)Instructions burned: 1 (million)
% 0.20/0.50  % (8382)------------------------------
% 0.20/0.50  % (8382)------------------------------
% 0.20/0.50  % (8357)Success in time 0.142 s
%------------------------------------------------------------------------------