%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n021.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 18:27:00 EDT 2022

% Result   : Theorem 1.29s 0.52s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   17 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   6   ~;   2   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(unit_resulting_resolution,[],[f25,f24,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | set_union2(singleton(X0),X1) = X1 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
      | set_union2(singleton(X0),X1) = X1 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).

fof(f24,plain,
    sK2 != set_union2(singleton(sK3),sK2),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1] :
      ( in(X1,X0)
      & set_union2(singleton(X1),X0) != X0 ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X1,X0] :
        ( in(X1,X0)
       => set_union2(singleton(X1),X0) = X0 ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
       => set_union2(singleton(X0),X1) = X1 ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).

fof(f25,plain,
    in(sK3,sK2),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:39:41 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.52  % (2019)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52  % (2019)First to succeed.
% 0.19/0.52  % (2033)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (2017)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.29/0.52  % (2019)Refutation found. Thanks to Tanya!
% 1.29/0.52  % SZS status Theorem for theBenchmark
% 1.29/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52  % (2019)------------------------------
% 1.29/0.52  % (2019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (2019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (2019)Termination reason: Refutation
% 1.29/0.52  
% 1.29/0.52  % (2019)Memory used [KB]: 5884
% 1.29/0.52  % (2019)Time elapsed: 0.105 s
% 1.29/0.52  % (2019)Instructions burned: 2 (million)
% 1.29/0.52  % (2019)------------------------------
% 1.29/0.52  % (2019)------------------------------
% 1.29/0.52  % (2010)Success in time 0.169 s
%------------------------------------------------------------------------------