TSTP Solution File: SWV072+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV072+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 : n026.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 18:44:03 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% 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(f254,plain,
    $false,
    inference(avatar_sat_refutation,[],[f177,f178,f253]) ).

fof(f253,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f133,f170]) ).

fof(f170,plain,
    ( spl0_1
  <=> leq(pv21,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f133,plain,
    leq(pv21,minus(n5,n1)),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( leq(n0,pv21)
    & ( ~ leq(n0,pv21)
      | ~ leq(pv21,minus(n5,n1)) )
    & leq(pv21,minus(n5,n1)) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ( ( ~ leq(n0,pv21)
      | ~ leq(pv21,minus(n5,n1)) )
    & leq(pv21,minus(n5,n1))
    & leq(n0,pv21) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv21,minus(n5,n1))
        & leq(n0,pv21) )
     => ( leq(n0,pv21)
        & leq(pv21,minus(n5,n1)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv21,minus(n5,n1))
      & leq(n0,pv21) )
   => ( leq(n0,pv21)
      & leq(pv21,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0013) ).

fof(f178,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f134,f174]) ).

fof(f174,plain,
    ( spl0_2
  <=> leq(n0,pv21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f134,plain,
    leq(n0,pv21),
    inference(cnf_transformation,[],[f113]) ).

fof(f177,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f132,f174,f170]) ).

fof(f132,plain,
    ( ~ leq(n0,pv21)
    | ~ leq(pv21,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV072+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % 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 : n026.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 19:13:21 EDT 2022
% 0.20/0.34  % CPUTime    : 
% 0.20/0.47  % (29374)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)
% 0.20/0.48  % (29381)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)
% 0.20/0.49  % (29374)Instruction limit reached!
% 0.20/0.49  % (29374)------------------------------
% 0.20/0.49  % (29374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (29374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (29374)Termination reason: Unknown
% 0.20/0.49  % (29374)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (29374)Memory used [KB]: 1791
% 0.20/0.49  % (29374)Time elapsed: 0.007 s
% 0.20/0.49  % (29374)Instructions burned: 14 (million)
% 0.20/0.49  % (29374)------------------------------
% 0.20/0.49  % (29374)------------------------------
% 0.20/0.49  % (29381)First to succeed.
% 0.20/0.49  % (29381)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (29381)------------------------------
% 0.20/0.49  % (29381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (29381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (29381)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (29381)Memory used [KB]: 6140
% 0.20/0.49  % (29381)Time elapsed: 0.084 s
% 0.20/0.49  % (29381)Instructions burned: 4 (million)
% 0.20/0.49  % (29381)------------------------------
% 0.20/0.49  % (29381)------------------------------
% 0.20/0.49  % (29372)Success in time 0.142 s
%------------------------------------------------------------------------------