%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN051+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n023.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 19:25:19 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (   1 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   71 (  30   ~;  28   |;   1   &)
%                                         (   7 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   7 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (   8   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f29,f33,f38,f40,f44]) ).

fof(f44,plain,
    ( ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f43,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f24,f28]) ).

fof(f28,plain,
    ( ! [X0] : ~ big_f(X0)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl2_3
  <=> ! [X0] : ~ big_f(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f24,plain,
    ( big_f(sK1)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl2_2
  <=> big_f(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f40,plain,
    ( ~ spl2_4
    | spl2_5 ),
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl2_4
    | spl2_5 ),
    inference(unit_resulting_resolution,[],[f32,f37]) ).

fof(f37,plain,
    ( ~ big_f(sK0)
    | spl2_5 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl2_5
  <=> big_f(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f32,plain,
    ( ! [X0] : big_f(X0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl2_4
  <=> ! [X0] : big_f(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f38,plain,
    ( spl2_1
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f15,f35,f18]) ).

fof(f18,plain,
    ( spl2_1
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f15,plain,
    ( ~ big_f(sK0)
    | p ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( p
    | ~ big_f(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f9]) ).

fof(f9,plain,
    ( ? [X0] :
        ( p
        | ~ big_f(X0) )
   => ( p
      | ~ big_f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( p
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ? [X0] :
      ( big_f(X0)
     => p ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel21_2) ).

fof(f33,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f13,f31,f18]) ).

fof(f13,plain,
    ! [X0] :
      ( big_f(X0)
      | p ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( ( ~ p
        | ~ big_f(X0) )
      & ( p
        | big_f(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
      ( big_f(X0)
    <~> p ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ? [X0] :
        ( p
      <=> big_f(X0) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ? [X0] :
      ( p
    <=> big_f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel21) ).

fof(f29,plain,
    ( spl2_3
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f14,f18,f27]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ p
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f25,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

fof(f16,plain,
    ( big_f(sK1)
    | ~ p ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( big_f(sK1)
    | ~ p ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f7,f11]) ).

fof(f11,plain,
    ( ? [X0] :
        ( big_f(X0)
        | ~ p )
   => ( big_f(sK1)
      | ~ p ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0] :
      ( big_f(X0)
      | ~ p ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0] :
      ( p
     => big_f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel21_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN051+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:46:04 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (30388)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)
% 0.19/0.49  % (30398)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)
% 0.19/0.49  % (30404)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)
% 0.19/0.50  % (30382)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (30396)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)
% 0.19/0.50  % (30388)First to succeed.
% 0.19/0.50  % (30388)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (30388)------------------------------
% 0.19/0.50  % (30388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (30388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (30388)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (30388)Memory used [KB]: 5884
% 0.19/0.50  % (30388)Time elapsed: 0.104 s
% 0.19/0.50  % (30388)Instructions burned: 2 (million)
% 0.19/0.50  % (30388)------------------------------
% 0.19/0.50  % (30388)------------------------------
% 0.19/0.50  % (30374)Success in time 0.156 s
%------------------------------------------------------------------------------