%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU085+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 : n020.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 18:26:37 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f316,plain,
    $false,
    inference(subsumption_resolution,[],[f315,f228]) ).

fof(f228,plain,
    finite(sK7),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( finite(sK7)
    & ~ finite(set_difference(sK7,sK8)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f106,f138]) ).

fof(f138,plain,
    ( ? [X0,X1] :
        ( finite(X0)
        & ~ finite(set_difference(X0,X1)) )
   => ( finite(sK7)
      & ~ finite(set_difference(sK7,sK8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ? [X0,X1] :
      ( finite(X0)
      & ~ finite(set_difference(X0,X1)) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X0,X1] :
        ( finite(X0)
       => finite(set_difference(X0,X1)) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X0,X1] :
      ( finite(X0)
     => finite(set_difference(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_finset_1) ).

fof(f315,plain,
    ~ finite(sK7),
    inference(resolution,[],[f227,f209]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( finite(set_difference(X0,X1))
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | finite(set_difference(X0,X1)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( finite(X0)
     => finite(set_difference(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_finset_1) ).

fof(f227,plain,
    ~ finite(set_difference(sK7,sK8)),
    inference(cnf_transformation,[],[f139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEU085+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:39:15 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (12265)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.50  % (12257)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.50  % (12278)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)
% 0.21/0.51  % (12258)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.51  % (12277)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)
% 0.21/0.51  % (12276)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)
% 0.21/0.51  % (12265)First to succeed.
% 0.21/0.51  % (12265)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (12265)------------------------------
% 0.21/0.52  % (12265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (12265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (12265)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (12265)Memory used [KB]: 1535
% 0.21/0.52  % (12265)Time elapsed: 0.112 s
% 0.21/0.52  % (12265)Instructions burned: 3 (million)
% 0.21/0.52  % (12265)------------------------------
% 0.21/0.52  % (12265)------------------------------
% 0.21/0.52  % (12250)Success in time 0.16 s
%------------------------------------------------------------------------------