TSTP Solution File: SWV081+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV081+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 : n016.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 0.48s
% 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 :    4 (   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(f511,plain,
    $false,
    inference(avatar_sat_refutation,[],[f508,f509,f510]) ).

fof(f510,plain,
    spl31_1,
    inference(avatar_split_clause,[],[f271,f501]) ).

fof(f501,plain,
    ( spl31_1
  <=> leq(pv57,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).

fof(f271,plain,
    leq(pv57,minus(n5,n1)),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ~ leq(pv57,minus(n5,n1))
      | ~ leq(n0,pv57) )
    & leq(n0,pv57)
    & leq(pv57,minus(n5,n1)) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ( ( ~ leq(pv57,minus(n5,n1))
      | ~ leq(n0,pv57) )
    & leq(pv57,minus(n5,n1))
    & leq(n0,pv57) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv57,minus(n5,n1))
        & leq(n0,pv57) )
     => ( leq(pv57,minus(n5,n1))
        & leq(n0,pv57) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv57,minus(n5,n1))
      & leq(n0,pv57) )
   => ( leq(pv57,minus(n5,n1))
      & leq(n0,pv57) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0022) ).

fof(f509,plain,
    spl31_2,
    inference(avatar_split_clause,[],[f272,f505]) ).

fof(f505,plain,
    ( spl31_2
  <=> leq(n0,pv57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).

fof(f272,plain,
    leq(n0,pv57),
    inference(cnf_transformation,[],[f135]) ).

fof(f508,plain,
    ( ~ spl31_1
    | ~ spl31_2 ),
    inference(avatar_split_clause,[],[f270,f505,f501]) ).

fof(f270,plain,
    ( ~ leq(n0,pv57)
    | ~ leq(pv57,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV081+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:22:31 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (29073)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.47  % (29065)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)
% 0.19/0.48  % (29065)First to succeed.
% 0.19/0.48  % (29073)Instruction limit reached!
% 0.19/0.48  % (29073)------------------------------
% 0.19/0.48  % (29073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (29073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (29073)Termination reason: Unknown
% 0.19/0.48  % (29073)Termination phase: Property scanning
% 0.19/0.48  
% 0.19/0.48  % (29073)Memory used [KB]: 1663
% 0.19/0.48  % (29073)Time elapsed: 0.007 s
% 0.19/0.48  % (29073)Instructions burned: 8 (million)
% 0.19/0.48  % (29073)------------------------------
% 0.19/0.48  % (29073)------------------------------
% 0.19/0.48  % (29065)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (29065)------------------------------
% 0.19/0.49  % (29065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (29065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (29065)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (29065)Memory used [KB]: 6268
% 0.19/0.49  % (29065)Time elapsed: 0.072 s
% 0.19/0.49  % (29065)Instructions burned: 18 (million)
% 0.19/0.49  % (29065)------------------------------
% 0.19/0.49  % (29065)------------------------------
% 0.19/0.49  % (29044)Success in time 0.136 s
%------------------------------------------------------------------------------