%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET910+1 : 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 18:22:43 EDT 2022

% Result   : Theorem 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   24 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  10   ~;   2   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   2 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   :   16 (  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f26]) ).

fof(f26,plain,
    set_intersection2(sK3,singleton(sK2)) = singleton(sK2),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ~ in(sK2,sK3)
    & set_intersection2(sK3,singleton(sK2)) = singleton(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f11,f18]) ).

fof(f18,plain,
    ( ? [X0,X1] :
        ( ~ in(X0,X1)
        & set_intersection2(X1,singleton(X0)) = singleton(X0) )
   => ( ~ in(sK2,sK3)
      & set_intersection2(sK3,singleton(sK2)) = singleton(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ? [X0,X1] :
      ( ~ in(X0,X1)
      & set_intersection2(X1,singleton(X0)) = singleton(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ! [X1,X0] :
        ( set_intersection2(X1,singleton(X0)) = singleton(X0)
       => in(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ! [X1,X0] :
        ( singleton(X1) = set_intersection2(X0,singleton(X1))
       => in(X1,X0) ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ! [X1,X0] :
      ( singleton(X1) = set_intersection2(X0,singleton(X1))
     => in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_zfmisc_1) ).

fof(f29,plain,
    set_intersection2(sK3,singleton(sK2)) != singleton(sK2),
    inference(unit_resulting_resolution,[],[f27,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( singleton(X1) != set_intersection2(X0,singleton(X1))
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | singleton(X1) != set_intersection2(X0,singleton(X1)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( singleton(X1) = set_intersection2(X0,singleton(X1))
     => in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_zfmisc_1) ).

fof(f27,plain,
    ~ in(sK2,sK3),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SET910+1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n021.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 14:47:56 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.47  % (29249)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47  % (29266)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47  % (29265)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.47  % (29256)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48  % (29249)First to succeed.
% 0.15/0.48  % (29249)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Theorem for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (29249)------------------------------
% 0.15/0.48  % (29249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (29249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (29249)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (29249)Memory used [KB]: 5884
% 0.15/0.48  % (29249)Time elapsed: 0.103 s
% 0.15/0.48  % (29249)Instructions burned: 1 (million)
% 0.15/0.48  % (29249)------------------------------
% 0.15/0.48  % (29249)------------------------------
% 0.15/0.48  % (29241)Success in time 0.157 s
%------------------------------------------------------------------------------