%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU158+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 : n010.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 18:26:58 EDT 2022

% Result   : Theorem 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (   2 unt;   0 def)
%            Number of atoms       :   86 (   1 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   86 (  35   ~;  36   |;   7   &)
%                                         (   6 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (  18   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f44,f54,f65]) ).

fof(f65,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f62,f42]) ).

fof(f42,plain,
    ( ~ subset(sF4,sK0)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl5_2
  <=> subset(sF4,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f62,plain,
    ( subset(sF4,sK0)
    | ~ spl5_1 ),
    inference(resolution,[],[f59,f37]) ).

fof(f37,plain,
    ( in(sK1,sK0)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl5_1
  <=> in(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ in(sK1,X0)
      | subset(sF4,X0) ),
    inference(superposition,[],[f25,f32]) ).

fof(f32,plain,
    singleton(sK1) = sF4,
    introduced(function_definition,[]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( subset(singleton(X0),X1)
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ~ subset(singleton(X0),X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ! [X1,X0] :
      ( ( subset(singleton(X1),X0)
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ~ subset(singleton(X1),X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

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

fof(f7,axiom,
    ! [X1,X0] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).

fof(f54,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_contradiction_clause,[],[f53]) ).

fof(f53,plain,
    ( $false
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f51,f41]) ).

fof(f41,plain,
    ( subset(sF4,sK0)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f51,plain,
    ( ~ subset(sF4,sK0)
    | spl5_1 ),
    inference(resolution,[],[f46,f38]) ).

fof(f38,plain,
    ( ~ in(sK1,sK0)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f46,plain,
    ! [X0] :
      ( in(sK1,X0)
      | ~ subset(sF4,X0) ),
    inference(superposition,[],[f24,f32]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ subset(singleton(X0),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f44,plain,
    ( spl5_2
    | spl5_1 ),
    inference(avatar_split_clause,[],[f34,f36,f40]) ).

fof(f34,plain,
    ( in(sK1,sK0)
    | subset(sF4,sK0) ),
    inference(definition_folding,[],[f26,f32]) ).

fof(f26,plain,
    ( subset(singleton(sK1),sK0)
    | in(sK1,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( ~ subset(singleton(sK1),sK0)
      | ~ in(sK1,sK0) )
    & ( subset(singleton(sK1),sK0)
      | in(sK1,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).

fof(f17,plain,
    ( ? [X0,X1] :
        ( ( ~ subset(singleton(X1),X0)
          | ~ in(X1,X0) )
        & ( subset(singleton(X1),X0)
          | in(X1,X0) ) )
   => ( ( ~ subset(singleton(sK1),sK0)
        | ~ in(sK1,sK0) )
      & ( subset(singleton(sK1),sK0)
        | in(sK1,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0,X1] :
      ( ( ~ subset(singleton(X1),X0)
        | ~ in(X1,X0) )
      & ( subset(singleton(X1),X0)
        | in(X1,X0) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ? [X1,X0] :
      ( ( ~ subset(singleton(X0),X1)
        | ~ in(X0,X1) )
      & ( subset(singleton(X0),X1)
        | in(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ? [X1,X0] :
      ( in(X0,X1)
    <~> subset(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
      <=> subset(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
    <=> subset(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).

fof(f43,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f33,f40,f36]) ).

fof(f33,plain,
    ( ~ subset(sF4,sK0)
    | ~ in(sK1,sK0) ),
    inference(definition_folding,[],[f27,f32]) ).

fof(f27,plain,
    ( ~ subset(singleton(sK1),sK0)
    | ~ in(sK1,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU158+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
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 14:35:29 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.55  % (11885)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.56  % (11885)First to succeed.
% 0.21/0.56  % (11908)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)
% 0.21/0.57  % (11885)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Theorem for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (11885)------------------------------
% 0.21/0.57  % (11885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (11885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (11885)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (11885)Memory used [KB]: 5884
% 0.21/0.57  % (11885)Time elapsed: 0.138 s
% 0.21/0.57  % (11885)Instructions burned: 2 (million)
% 0.21/0.57  % (11885)------------------------------
% 0.21/0.57  % (11885)------------------------------
% 0.21/0.57  % (11884)Success in time 0.217 s
%------------------------------------------------------------------------------