%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN956+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n012.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 19:36:11 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   36 (  13   ~;   8   |;   4   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   17 (   9   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f19,f21]) ).

fof(f21,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f20]) ).

fof(f20,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f16,f8]) ).

fof(f8,plain,
    ! [X2] : ~ b(X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ! [X2] : ~ b(X2)
    & ? [X0] :
        ( ~ a(X0)
        | b(X0) )
    & ! [X1] : a(X1) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ! [X2] : ~ b(X2)
    & ! [X1] : a(X1)
    & ? [X0] :
        ( ~ a(X0)
        | b(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
          ( a(X0)
         => b(X0) )
     => ( ! [X1] : a(X1)
       => ? [X2] : b(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
          ( a(X0)
         => b(X0) )
     => ( ! [X0] : a(X0)
       => ? [X0] : b(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] :
        ( a(X0)
       => b(X0) )
   => ( ! [X0] : a(X0)
     => ? [X0] : b(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f16,plain,
    ( b(sK0)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl1_2
  <=> b(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f19,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f18]) ).

fof(f18,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f12,f7]) ).

fof(f7,plain,
    ! [X1] : a(X1),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( ~ a(sK0)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl1_1
  <=> a(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f17,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f6,f14,f10]) ).

fof(f6,plain,
    ( b(sK0)
    | ~ a(sK0) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN956+1 : TPTP v8.1.0. Released v3.1.0.
% 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
% 0.13/0.35  % Computer : n012.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 22:31:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  % (2050)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)
% 0.21/0.50  % (2058)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.50  % (2058)First to succeed.
% 0.21/0.50  % (2060)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)
% 0.21/0.50  % (2058)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Theorem for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (2058)------------------------------
% 0.21/0.50  % (2058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2058)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (2058)Memory used [KB]: 5884
% 0.21/0.50  % (2058)Time elapsed: 0.096 s
% 0.21/0.50  % (2058)Instructions burned: 1 (million)
% 0.21/0.50  % (2058)------------------------------
% 0.21/0.50  % (2058)------------------------------
% 0.21/0.50  % (2037)Success in time 0.147 s
%------------------------------------------------------------------------------