%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (   6 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   59 (  22   ~;  15   |;  12   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   30 (  24   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f518,plain,
    $false,
    inference(avatar_sat_refutation,[],[f513,f515,f517]) ).

fof(f517,plain,
    ~ spl21_22,
    inference(avatar_contradiction_clause,[],[f516]) ).

fof(f516,plain,
    ( $false
    | ~ spl21_22 ),
    inference(resolution,[],[f508,f154]) ).

fof(f154,plain,
    ~ finite(sK3),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ~ finite(sK3)
    & finite(sK4)
    & subset(sK3,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f76,f104]) ).

fof(f104,plain,
    ( ? [X0,X1] :
        ( ~ finite(X0)
        & finite(X1)
        & subset(X0,X1) )
   => ( ~ finite(sK3)
      & finite(sK4)
      & subset(sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(X1)
      & subset(X0,X1) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ? [X1,X0] :
      ( ~ finite(X0)
      & subset(X0,X1)
      & finite(X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( subset(X0,X1)
          & finite(X1) )
       => finite(X0) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & finite(X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

fof(f508,plain,
    ( finite(sK3)
    | ~ spl21_22 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f506,plain,
    ( spl21_22
  <=> finite(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_22])]) ).

fof(f515,plain,
    spl21_23,
    inference(avatar_contradiction_clause,[],[f514]) ).

fof(f514,plain,
    ( $false
    | spl21_23 ),
    inference(resolution,[],[f512,f153]) ).

fof(f153,plain,
    finite(sK4),
    inference(cnf_transformation,[],[f105]) ).

fof(f512,plain,
    ( ~ finite(sK4)
    | spl21_23 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl21_23
  <=> finite(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).

fof(f513,plain,
    ( spl21_22
    | ~ spl21_23 ),
    inference(avatar_split_clause,[],[f503,f510,f506]) ).

fof(f503,plain,
    ( ~ finite(sK4)
    | finite(sK3) ),
    inference(resolution,[],[f246,f152]) ).

fof(f152,plain,
    subset(sK3,sK4),
    inference(cnf_transformation,[],[f105]) ).

fof(f246,plain,
    ! [X2,X1] :
      ( ~ subset(X2,X1)
      | ~ finite(X1)
      | finite(X2) ),
    inference(resolution,[],[f214,f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X1,X0] :
      ( element(X1,powerset(X0))
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
     => element(X1,powerset(X0)) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( element(X1,powerset(X0))
    <=> subset(X1,X0) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> element(X0,powerset(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | ~ finite(X0)
      | finite(X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ finite(X0)
      | ! [X1] :
          ( ~ element(X1,powerset(X0))
          | finite(X1) ) ),
    inference(ennf_transformation,[],[f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU294+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % 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 : n005.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 15:05:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (22937)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)
% 0.19/0.51  % (22938)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)
% 0.19/0.51  % (22929)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)
% 0.19/0.51  % (22930)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  % (22928)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)
% 0.19/0.52  % (22930)Instruction limit reached!
% 0.19/0.52  % (22930)------------------------------
% 0.19/0.52  % (22930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (22930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (22930)Termination reason: Unknown
% 0.19/0.52  % (22930)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (22930)Memory used [KB]: 1535
% 0.19/0.52  % (22930)Time elapsed: 0.004 s
% 0.19/0.52  % (22930)Instructions burned: 3 (million)
% 0.19/0.52  % (22930)------------------------------
% 0.19/0.52  % (22930)------------------------------
% 0.19/0.52  % (22924)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  % (22922)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  % (22945)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52  % (22917)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (22938)First to succeed.
% 0.19/0.52  % (22917)Refutation not found, incomplete strategy% (22917)------------------------------
% 0.19/0.52  % (22917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22938)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (22938)------------------------------
% 0.19/0.53  % (22938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (22938)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (22938)Memory used [KB]: 6140
% 0.19/0.53  % (22938)Time elapsed: 0.073 s
% 0.19/0.53  % (22938)Instructions burned: 7 (million)
% 0.19/0.53  % (22938)------------------------------
% 0.19/0.53  % (22938)------------------------------
% 0.19/0.53  % (22915)Success in time 0.174 s
%------------------------------------------------------------------------------