%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n007.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 19:26:20 EDT 2022

% Result   : Unsatisfiable 0.23s 0.50s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   9   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   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    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f9]) ).

fof(f9,plain,
    ! [X0] : ~ f(X0,a),
    inference(subsumption_resolution,[],[f8,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | ~ f(X0,X1)
      | ~ f(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f8,plain,
    ! [X0] :
      ( f(a,z(X0,a))
      | ~ f(X0,a) ),
    inference(factoring,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( f(a,z(X0,X1))
      | ~ f(X0,X1)
      | f(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f28,plain,
    f(z(a,a),a),
    inference(resolution,[],[f20,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | f(z(X0,X1),a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f20,plain,
    ! [X0] : f(X0,z(X0,a)),
    inference(subsumption_resolution,[],[f18,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | ~ f(X1,z(X0,X1))
      | f(X0,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f18,plain,
    ! [X0] :
      ( f(a,z(X0,a))
      | f(X0,z(X0,a)) ),
    inference(factoring,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( f(a,z(X0,X1))
      | f(X1,z(X0,X1))
      | f(X0,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.38  % Computer : n007.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Tue Aug 30 21:32:16 EDT 2022
% 0.15/0.38  % CPUTime    : 
% 0.23/0.49  % (22080)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.49  % (22080)First to succeed.
% 0.23/0.50  % (22080)Refutation found. Thanks to Tanya!
% 0.23/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.50  % (22080)------------------------------
% 0.23/0.50  % (22080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.50  % (22080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.50  % (22080)Termination reason: Refutation
% 0.23/0.50  
% 0.23/0.50  % (22080)Memory used [KB]: 5756
% 0.23/0.50  % (22080)Time elapsed: 0.072 s
% 0.23/0.50  % (22080)Instructions burned: 2 (million)
% 0.23/0.50  % (22080)------------------------------
% 0.23/0.50  % (22080)------------------------------
% 0.23/0.50  % (22070)Success in time 0.11 s
%------------------------------------------------------------------------------