%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET074-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n001.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 18:23:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f248,plain,
    $false,
    inference(resolution,[],[f247,f116]) ).

fof(f116,axiom,
    member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_1) ).

fof(f247,plain,
    ~ member(y,universal_class),
    inference(resolution,[],[f232,f103]) ).

fof(f103,axiom,
    ! [X4] : ~ member(X4,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).

fof(f232,plain,
    ( member(y,null_class)
    | ~ member(y,universal_class) ),
    inference(superposition,[],[f9,f197]) ).

fof(f197,plain,
    null_class = unordered_pair(y,x),
    inference(superposition,[],[f117,f108]) ).

fof(f108,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).

fof(f117,axiom,
    null_class = unordered_pair(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_2) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET074-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % 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 : n001.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 13:30:46 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.43  % (7305)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)
% 0.19/0.44  % (7305)First to succeed.
% 0.19/0.45  % (7305)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (7305)------------------------------
% 0.19/0.45  % (7305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (7305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (7305)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (7305)Memory used [KB]: 1535
% 0.19/0.45  % (7305)Time elapsed: 0.053 s
% 0.19/0.45  % (7305)Instructions burned: 20 (million)
% 0.19/0.45  % (7305)------------------------------
% 0.19/0.45  % (7305)------------------------------
% 0.19/0.45  % (7290)Success in time 0.106 s
%------------------------------------------------------------------------------