%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN034-1 : 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 : 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 19:25:14 EDT 2022

% Result   : Unsatisfiable 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ p(X1,a)
      | ~ p(X0,X1)
      | ~ p(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).

fof(f12,plain,
    p(a,a),
    inference(resolution,[],[f9,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( p(X0,f(X0))
      | p(X0,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f9,plain,
    ~ p(a,f(a)),
    inference(subsumption_resolution,[],[f6,f3]) ).

fof(f6,plain,
    ( p(a,a)
    | ~ p(a,f(a)) ),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( p(f(X0),X0)
      | p(X0,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f5,plain,
    ! [X0] :
      ( ~ p(f(a),X0)
      | ~ p(X0,f(a)) ),
    inference(subsumption_resolution,[],[f4,f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 21:22:22 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.48  % (29421)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.49  % (29429)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.49  % (29421)First to succeed.
% 0.22/0.49  % (29421)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49  % (29421)------------------------------
% 0.22/0.49  % (29421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.49  % (29421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.49  % (29421)Termination reason: Refutation
% 0.22/0.49  
% 0.22/0.49  % (29421)Memory used [KB]: 5756
% 0.22/0.49  % (29421)Time elapsed: 0.080 s
% 0.22/0.49  % (29421)Instructions burned: 1 (million)
% 0.22/0.49  % (29421)------------------------------
% 0.22/0.49  % (29421)------------------------------
% 0.22/0.49  % (29413)Success in time 0.13 s
%------------------------------------------------------------------------------