%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL181+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 : n019.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 17:39:12 EDT 2022

% Result   : Theorem 1.19s 0.53s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   53 (  21   ~;  17   |;   6   &)
%                                         (   4 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    5 (   4 usr;   5 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27,plain,
    $false,
    inference(avatar_sat_refutation,[],[f22,f25,f26]) ).

fof(f26,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f11,f19]) ).

fof(f19,plain,
    ( spl0_2
  <=> q ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f11,plain,
    ~ q,
    inference(duplicate_literal_removal,[],[f7]) ).

fof(f7,plain,
    ( ~ q
    | ~ q ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ( ( ~ p
        & ~ q )
      | ( ~ p
        & ~ q ) )
    & ( p
      | q
      | p
      | q ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ( ( ~ p
        & ~ q )
      | ( ~ p
        & ~ q ) )
    & ( p
      | q
      | p
      | q ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,plain,
    ( ( p
      | q )
  <~> ( p
      | q ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ~ q
       => p )
    <=> ( ~ p
       => q ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ~ q
     => p )
  <=> ( ~ p
     => q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel4) ).

fof(f25,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f12,f15]) ).

fof(f15,plain,
    ( spl0_1
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f12,plain,
    ~ p,
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f10,plain,
    ( ~ p
    | ~ p ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f19,f15]) ).

fof(f13,plain,
    ( q
    | p ),
    inference(duplicate_literal_removal,[],[f6]) ).

fof(f6,plain,
    ( p
    | q
    | p
    | q ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL181+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.13/0.35  % Computer : n019.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 01:44:24 EDT 2022
% 0.13/0.36  % CPUTime    : 
% 1.19/0.52  % (10015)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.19/0.53  % (10024)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.19/0.53  % (10032)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)
% 1.19/0.53  % (10032)First to succeed.
% 1.19/0.53  % (10023)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)
% 1.19/0.53  % (10023)Also succeeded, but the first one will report.
% 1.19/0.53  % (10032)Refutation found. Thanks to Tanya!
% 1.19/0.53  % SZS status Theorem for theBenchmark
% 1.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.53  % (10032)------------------------------
% 1.19/0.53  % (10032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (10032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (10032)Termination reason: Refutation
% 1.19/0.53  
% 1.19/0.53  % (10032)Memory used [KB]: 5884
% 1.19/0.53  % (10032)Time elapsed: 0.004 s
% 1.19/0.53  % (10032)Instructions burned: 1 (million)
% 1.19/0.53  % (10032)------------------------------
% 1.19/0.53  % (10032)------------------------------
% 1.19/0.53  % (10009)Success in time 0.163 s
%------------------------------------------------------------------------------