%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN057+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 19:25:21 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  10 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  40   ~;  26   |;  10   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   23 (  18   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f36,f40]) ).

fof(f40,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f37,f18]) ).

fof(f18,plain,
    ~ big_g(sK0),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ~ big_g(sK0)
    & big_f(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f12]) ).

fof(f12,plain,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_f(X0) )
   => ( ~ big_g(sK0)
      & big_f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
      ( ~ big_g(X0)
      & big_f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_1) ).

fof(f37,plain,
    ( big_g(sK0)
    | ~ spl2_1 ),
    inference(resolution,[],[f25,f30]) ).

fof(f30,plain,
    big_h(sK0),
    inference(resolution,[],[f21,f17]) ).

fof(f17,plain,
    big_f(sK0),
    inference(cnf_transformation,[],[f13]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | big_h(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( big_h(X0)
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( big_f(X0)
     => big_h(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_2) ).

fof(f25,plain,
    ( ! [X0] :
        ( ~ big_h(X0)
        | big_g(X0) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl2_1
  <=> ! [X0] :
        ( big_g(X0)
        | ~ big_h(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f36,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f34,f31]) ).

fof(f31,plain,
    ( ~ big_h(sK1)
    | ~ spl2_2 ),
    inference(resolution,[],[f28,f20]) ).

fof(f20,plain,
    big_i(sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( big_i(sK1)
    & big_j(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f7,f14]) ).

fof(f14,plain,
    ( ? [X0] :
        ( big_i(X0)
        & big_j(X0) )
   => ( big_i(sK1)
      & big_j(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0] :
      ( big_i(X0)
      & big_j(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0] :
        ( big_j(X0)
       => ~ big_i(X0) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0] :
      ( big_j(X0)
     => ~ big_i(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27) ).

fof(f28,plain,
    ( ! [X1] :
        ( ~ big_i(X1)
        | ~ big_h(X1) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl2_2
  <=> ! [X1] :
        ( ~ big_i(X1)
        | ~ big_h(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f34,plain,
    big_h(sK1),
    inference(resolution,[],[f33,f21]) ).

fof(f33,plain,
    big_f(sK1),
    inference(subsumption_resolution,[],[f32,f19]) ).

fof(f19,plain,
    big_j(sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f32,plain,
    ( big_f(sK1)
    | ~ big_j(sK1) ),
    inference(resolution,[],[f22,f20]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ big_i(X0)
      | big_f(X0)
      | ~ big_j(X0) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ big_i(X0)
      | big_f(X0)
      | ~ big_j(X0) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ! [X0] :
      ( big_f(X0)
      | ~ big_i(X0)
      | ~ big_j(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( big_i(X0)
        & big_j(X0) )
     => big_f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_3) ).

fof(f29,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f27,f24]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ big_i(X1)
      | big_g(X0)
      | ~ big_h(X0)
      | ~ big_h(X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ! [X0] :
        ( big_g(X0)
        | ~ big_h(X0) )
    | ! [X1] :
        ( ~ big_h(X1)
        | ~ big_i(X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_h(X0) )
   => ! [X1] :
        ( big_i(X1)
       => ~ big_h(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n023.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 21:45:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (29248)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (29248)First to succeed.
% 0.20/0.50  % (29248)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (29248)------------------------------
% 0.20/0.50  % (29248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (29248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (29248)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (29248)Memory used [KB]: 5884
% 0.20/0.50  % (29248)Time elapsed: 0.090 s
% 0.20/0.50  % (29248)Instructions burned: 1 (million)
% 0.20/0.50  % (29248)------------------------------
% 0.20/0.50  % (29248)------------------------------
% 0.20/0.50  % (29232)Success in time 0.138 s
%------------------------------------------------------------------------------