%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU294+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 : n014.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 18:28:27 EDT 2022

% Result   : Theorem 1.32s 0.53s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   50 (  18   ~;  10   |;  14   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   32 (  24   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f175,plain,
    $false,
    inference(subsumption_resolution,[],[f174,f116]) ).

fof(f116,plain,
    ~ finite(sK6),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( finite(sK5)
    & ~ finite(sK6)
    & subset(sK6,sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f81,f82]) ).

fof(f82,plain,
    ( ? [X0,X1] :
        ( finite(X0)
        & ~ finite(X1)
        & subset(X1,X0) )
   => ( finite(sK5)
      & ~ finite(sK6)
      & subset(sK6,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ? [X0,X1] :
      ( finite(X0)
      & ~ finite(X1)
      & subset(X1,X0) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ? [X1,X0] :
      ( finite(X1)
      & ~ finite(X0)
      & subset(X0,X1) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ? [X1,X0] :
      ( ~ finite(X0)
      & subset(X0,X1)
      & finite(X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( subset(X0,X1)
          & finite(X1) )
       => finite(X0) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & finite(X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).

fof(f174,plain,
    finite(sK6),
    inference(subsumption_resolution,[],[f172,f117]) ).

fof(f117,plain,
    finite(sK5),
    inference(cnf_transformation,[],[f83]) ).

fof(f172,plain,
    ( ~ finite(sK5)
    | finite(sK6) ),
    inference(resolution,[],[f167,f115]) ).

fof(f115,plain,
    subset(sK6,sK5),
    inference(cnf_transformation,[],[f83]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | finite(X0)
      | ~ finite(X1) ),
    inference(resolution,[],[f105,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | element(X0,powerset(X1)) ),
    inference(rectify,[],[f60]) ).

fof(f60,plain,
    ! [X1,X0] :
      ( ~ subset(X1,X0)
      | element(X1,powerset(X0)) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
     => element(X1,powerset(X0)) ),
    inference(unused_predicate_definition_removal,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( element(X1,powerset(X0))
    <=> subset(X1,X0) ),
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X1,X0] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | finite(X1)
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( finite(X1)
          | ~ element(X1,powerset(X0)) )
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( finite(X0)
     => ! [X1] :
          ( element(X1,powerset(X0))
         => finite(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU294+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
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 15:06:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.52  % (13789)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)
% 0.19/0.52  % (13805)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  % (13796)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (13797)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)
% 0.19/0.52  % (13789)First to succeed.
% 0.19/0.52  % (13797)Instruction limit reached!
% 0.19/0.52  % (13797)------------------------------
% 0.19/0.52  % (13797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (13804)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53  % (13797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (13797)Termination reason: Unknown
% 1.32/0.53  % (13797)Termination phase: Property scanning
% 1.32/0.53  
% 1.32/0.53  % (13797)Memory used [KB]: 1535
% 1.32/0.53  % (13797)Time elapsed: 0.005 s
% 1.32/0.53  % (13797)Instructions burned: 3 (million)
% 1.32/0.53  % (13797)------------------------------
% 1.32/0.53  % (13797)------------------------------
% 1.32/0.53  % (13789)Refutation found. Thanks to Tanya!
% 1.32/0.53  % SZS status Theorem for theBenchmark
% 1.32/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53  % (13789)------------------------------
% 1.32/0.53  % (13789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (13789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (13789)Termination reason: Refutation
% 1.32/0.53  
% 1.32/0.53  % (13789)Memory used [KB]: 6012
% 1.32/0.53  % (13789)Time elapsed: 0.097 s
% 1.32/0.53  % (13789)Instructions burned: 4 (million)
% 1.32/0.53  % (13789)------------------------------
% 1.32/0.53  % (13789)------------------------------
% 1.32/0.53  % (13782)Success in time 0.173 s
%------------------------------------------------------------------------------