%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET090-7 : 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_uns --cores 0 -t %d %s

% Computer : n002.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 18:19:05 EDT 2022

% Result   : Unsatisfiable 1.21s 0.67s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(subsumption_resolution,[],[f143,f137]) ).

fof(f137,plain,
    member(u,singleton(u)),
    inference(unit_resulting_resolution,[],[f134,f122]) ).

fof(f122,axiom,
    ! [X0] :
      ( member(X0,singleton(X0))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).

fof(f134,axiom,
    member(u,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).

fof(f143,plain,
    ~ member(u,singleton(u)),
    inference(forward_demodulation,[],[f141,f136]) ).

fof(f136,plain,
    singleton(u) = singleton(member_of(singleton(u))),
    inference(unit_resulting_resolution,[],[f134,f131]) ).

fof(f131,axiom,
    ! [X1] :
      ( ~ member(X1,universal_class)
      | singleton(X1) = singleton(member_of(singleton(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists2) ).

fof(f141,plain,
    ~ member(u,singleton(member_of(singleton(u)))),
    inference(unit_resulting_resolution,[],[f135,f125]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f135,axiom,
    u != member_of(singleton(u)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : SET090-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 13:25:59 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  ipcrm: permission denied for id (664633345)
% 0.14/0.37  ipcrm: permission denied for id (664666125)
% 0.14/0.38  ipcrm: permission denied for id (664698904)
% 0.14/0.40  ipcrm: permission denied for id (664797226)
% 0.14/0.41  ipcrm: permission denied for id (664829999)
% 0.20/0.51  ipcrm: permission denied for id (665124986)
% 1.21/0.67  % (27329)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.21/0.67  % (27327)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.21/0.67  % (27327)First to succeed.
% 1.21/0.67  % (27327)Refutation found. Thanks to Tanya!
% 1.21/0.67  % SZS status Unsatisfiable for theBenchmark
% 1.21/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.67  % (27327)------------------------------
% 1.21/0.67  % (27327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.67  % (27327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.67  % (27327)Termination reason: Refutation
% 1.21/0.67  
% 1.21/0.67  % (27327)Memory used [KB]: 5884
% 1.21/0.67  % (27327)Time elapsed: 0.109 s
% 1.21/0.67  % (27327)Instructions burned: 2 (million)
% 1.21/0.67  % (27327)------------------------------
% 1.21/0.67  % (27327)------------------------------
% 1.21/0.67  % (27092)Success in time 0.328 s
%------------------------------------------------------------------------------