%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU160+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 18:26:59 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (   5 unt;   0 def)
%            Number of atoms       :   68 (  23 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   60 (  23   ~;  29   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   19 (  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f37,f38,f41,f47]) ).

fof(f47,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f46]) ).

fof(f46,plain,
    ( $false
    | spl4_1
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f42,f14]) ).

fof(f14,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f42,plain,
    ( ~ subset(sK3,sK3)
    | spl4_1
    | ~ spl4_3 ),
    inference(backward_demodulation,[],[f26,f36]) ).

fof(f36,plain,
    ( singleton(sK2) = sK3
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl4_3
  <=> singleton(sK2) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f26,plain,
    ( ~ subset(sK3,singleton(sK2))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl4_1
  <=> subset(sK3,singleton(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f41,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f39,f22]) ).

fof(f22,plain,
    ! [X1] : subset(empty_set,singleton(X1)),
    inference(equality_resolution,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( subset(X0,singleton(X1))
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ( singleton(X1) = X0
        | empty_set = X0 )
    <=> subset(X0,singleton(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).

fof(f39,plain,
    ( ~ subset(empty_set,singleton(sK2))
    | spl4_1
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f26,f29]) ).

fof(f29,plain,
    ( empty_set = sK3
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl4_2
  <=> empty_set = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f38,plain,
    ( ~ spl4_3
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f15,f24,f34]) ).

fof(f15,plain,
    ( ~ subset(sK3,singleton(sK2))
    | singleton(sK2) != sK3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ? [X0,X1] :
      ( ( empty_set = X1
        | singleton(X0) = X1 )
    <~> subset(X1,singleton(X0)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ~ ! [X1,X0] :
        ( subset(X1,singleton(X0))
      <=> ( empty_set = X1
          | singleton(X0) = X1 ) ),
    inference(rectify,[],[f6]) ).

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

fof(f5,conjecture,
    ! [X1,X0] :
      ( ( singleton(X1) = X0
        | empty_set = X0 )
    <=> subset(X0,singleton(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).

fof(f37,plain,
    ( spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f32,f34,f28]) ).

fof(f32,plain,
    ( singleton(sK2) = sK3
    | empty_set = sK3 ),
    inference(subsumption_resolution,[],[f17,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ subset(X0,singleton(X1))
      | empty_set = X0
      | singleton(X1) = X0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f17,plain,
    ( singleton(sK2) = sK3
    | subset(sK3,singleton(sK2))
    | empty_set = sK3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f31,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f16,f28,f24]) ).

fof(f16,plain,
    ( empty_set != sK3
    | ~ subset(sK3,singleton(sK2)) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:43:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (18088)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)
% 0.20/0.52  % (18088)First to succeed.
% 0.20/0.52  % (18090)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52  % (18081)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)
% 0.20/0.52  % (18081)Also succeeded, but the first one will report.
% 0.20/0.52  % (18088)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (18088)------------------------------
% 0.20/0.52  % (18088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18088)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (18088)Memory used [KB]: 5884
% 0.20/0.52  % (18088)Time elapsed: 0.101 s
% 0.20/0.52  % (18088)Instructions burned: 2 (million)
% 0.20/0.52  % (18088)------------------------------
% 0.20/0.52  % (18088)------------------------------
% 0.20/0.52  % (18079)Success in time 0.161 s
%------------------------------------------------------------------------------