TSTP Solution File: SWV082+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV082+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 : n010.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 18:44:05 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (   9   ~;   4   |;   8   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f256,plain,
    $false,
    inference(avatar_sat_refutation,[],[f179,f180,f255]) ).

fof(f255,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f136,f176]) ).

fof(f176,plain,
    ( spl0_2
  <=> leq(pv58,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f136,plain,
    leq(pv58,minus(n5,n1)),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( leq(n0,pv58)
    & ( ~ leq(pv58,minus(n5,n1))
      | ~ leq(n0,pv58) )
    & leq(pv58,minus(n5,n1)) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ( ( ~ leq(pv58,minus(n5,n1))
      | ~ leq(n0,pv58) )
    & leq(n0,pv58)
    & leq(pv58,minus(n5,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv58)
        & leq(pv58,minus(n5,n1)) )
     => ( leq(pv58,minus(n5,n1))
        & leq(n0,pv58) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv58)
      & leq(pv58,minus(n5,n1)) )
   => ( leq(pv58,minus(n5,n1))
      & leq(n0,pv58) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0023) ).

fof(f180,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f137,f172]) ).

fof(f172,plain,
    ( spl0_1
  <=> leq(n0,pv58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f137,plain,
    leq(n0,pv58),
    inference(cnf_transformation,[],[f109]) ).

fof(f179,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f135,f176,f172]) ).

fof(f135,plain,
    ( ~ leq(pv58,minus(n5,n1))
    | ~ leq(n0,pv58) ),
    inference(cnf_transformation,[],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV082+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12  % 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 : n010.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 18:52:29 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (12719)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (12717)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (12719)First to succeed.
% 0.19/0.51  % (12727)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (12712)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (12719)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (12719)------------------------------
% 0.19/0.51  % (12719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (12719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (12719)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (12719)Memory used [KB]: 6140
% 0.19/0.51  % (12719)Time elapsed: 0.110 s
% 0.19/0.51  % (12719)Instructions burned: 4 (million)
% 0.19/0.51  % (12719)------------------------------
% 0.19/0.51  % (12719)------------------------------
% 0.19/0.51  % (12710)Success in time 0.167 s
%------------------------------------------------------------------------------