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

% Computer : n026.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 19:37:38 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(resolution,[],[f33,f27]) ).

fof(f27,plain,
    ! [X0,X1] : ~ f(a,z(X0,X1)),
    inference(resolution,[],[f23,f1]) ).

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

fof(f23,plain,
    ! [X0] : ~ f(X0,a),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ f(X0,a)
      | ~ f(X0,a) ),
    inference(resolution,[],[f16,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ f(a,z(X0,a))
      | ~ f(X0,a) ),
    inference(factoring,[],[f6]) ).

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

fof(f16,plain,
    ! [X1] :
      ( f(a,z(X1,a))
      | ~ f(X1,a) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ! [X1] :
      ( ~ f(X1,a)
      | ~ f(X1,a)
      | f(a,z(X1,a)) ),
    inference(resolution,[],[f11,f5]) ).

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

fof(f33,plain,
    ! [X1] : f(X1,z(X1,a)),
    inference(resolution,[],[f30,f27]) ).

fof(f30,plain,
    ! [X3] :
      ( f(a,z(X3,a))
      | f(X3,z(X3,a)) ),
    inference(resolution,[],[f27,f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:01:21 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (12225)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.47  % (12225)First to succeed.
% 0.18/0.48  % (12225)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (12225)------------------------------
% 0.18/0.48  % (12225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (12225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (12225)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (12225)Memory used [KB]: 895
% 0.18/0.48  % (12225)Time elapsed: 0.094 s
% 0.18/0.48  % (12225)Instructions burned: 2 (million)
% 0.18/0.48  % (12225)------------------------------
% 0.18/0.48  % (12225)------------------------------
% 0.18/0.48  % (12211)Success in time 0.137 s
%------------------------------------------------------------------------------