%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n005.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 18:44:04 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   48 (   8 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   48 (  17   ~;   8   |;  14   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f213,plain,
    $false,
    inference(avatar_sat_refutation,[],[f204,f205,f211,f212]) ).

fof(f212,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f125,f201]) ).

fof(f201,plain,
    ( spl0_4
  <=> leq(pv31,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f125,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( leq(n0,pv31)
    & ( ( ( ~ leq(n0,pv31)
          | ~ leq(pv31,minus(n5,n1)) )
        & n0 != pv70 )
      | ( n0 = pv70
        & ~ true ) )
    & leq(pv31,minus(n5,n1)) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ( ( ( ( ~ leq(n0,pv31)
          | ~ leq(pv31,minus(n5,n1)) )
        & n0 != pv70 )
      | ( n0 = pv70
        & ~ true ) )
    & leq(n0,pv31)
    & leq(pv31,minus(n5,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) )
     => ( ( n0 != pv70
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) )
        & ( n0 = pv70
         => true ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( ( n0 != pv70
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & ( n0 = pv70
       => true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0019) ).

fof(f211,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f150,f183]) ).

fof(f183,plain,
    ( spl0_1
  <=> true ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f150,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).

fof(f205,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f130,f197]) ).

fof(f197,plain,
    ( spl0_3
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f130,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f94]) ).

fof(f204,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f183,f201,f197]) ).

fof(f128,plain,
    ( ~ true
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31) ),
    inference(cnf_transformation,[],[f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:59:33 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.49  % (31642)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)
% 0.21/0.51  % (31634)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (31634)First to succeed.
% 0.21/0.53  % (31642)Also succeeded, but the first one will report.
% 0.21/0.53  % (31634)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (31634)------------------------------
% 0.21/0.53  % (31634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (31634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (31634)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (31634)Memory used [KB]: 6012
% 0.21/0.53  % (31634)Time elapsed: 0.008 s
% 0.21/0.53  % (31634)Instructions burned: 3 (million)
% 0.21/0.53  % (31634)------------------------------
% 0.21/0.53  % (31634)------------------------------
% 0.21/0.53  % (31629)Success in time 0.185 s
%------------------------------------------------------------------------------