TSTP Solution File: SWV074+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV074+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 0.15s 0.47s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   55 (  17   ~;  12   |;  20   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f224,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f220,f221,f222,f223]) ).

fof(f223,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f142,f216]) ).

fof(f216,plain,
    ( spl0_4
  <=> leq(pv36,minus(n135300,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f142,plain,
    leq(pv36,minus(n135300,n1)),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ( leq(n0,pv36)
    & leq(n0,pv31)
    & ( ~ leq(pv36,minus(n135300,n1))
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv36)
      | ~ leq(n0,pv31) )
    & leq(pv36,minus(n135300,n1))
    & leq(pv31,minus(n5,n1)) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ( ( ~ leq(pv36,minus(n135300,n1))
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv36)
      | ~ leq(n0,pv31) )
    & leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & leq(pv36,minus(n135300,n1))
    & leq(n0,pv36) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & leq(pv36,minus(n135300,n1))
        & leq(n0,pv36) )
     => ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & leq(pv36,minus(n135300,n1))
        & leq(n0,pv36) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & leq(pv36,minus(n135300,n1))
      & leq(n0,pv36) )
   => ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & leq(pv36,minus(n135300,n1))
      & leq(n0,pv36) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0015) ).

fof(f222,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f141,f204]) ).

fof(f204,plain,
    ( spl0_1
  <=> leq(pv31,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f141,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f121]) ).

fof(f221,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f145,f212]) ).

fof(f212,plain,
    ( spl0_3
  <=> leq(n0,pv36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f145,plain,
    leq(n0,pv36),
    inference(cnf_transformation,[],[f121]) ).

fof(f220,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f144,f208]) ).

fof(f208,plain,
    ( spl0_2
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f144,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f121]) ).

fof(f219,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f143,f216,f212,f208,f204]) ).

fof(f143,plain,
    ( ~ leq(pv36,minus(n135300,n1))
    | ~ leq(n0,pv36)
    | ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV074+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n005.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 18:59:18 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.45  % (30402)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)
% 0.15/0.46  % (30394)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)
% 0.15/0.46  % (30402)Instruction limit reached!
% 0.15/0.46  % (30402)------------------------------
% 0.15/0.46  % (30402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (30402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (30402)Termination reason: Unknown
% 0.15/0.46  % (30402)Termination phase: Preprocessing 3
% 0.15/0.46  
% 0.15/0.46  % (30402)Memory used [KB]: 1535
% 0.15/0.46  % (30402)Time elapsed: 0.005 s
% 0.15/0.46  % (30402)Instructions burned: 3 (million)
% 0.15/0.46  % (30402)------------------------------
% 0.15/0.46  % (30402)------------------------------
% 0.15/0.46  % (30403)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46  % (30394)First to succeed.
% 0.15/0.47  % (30394)Refutation found. Thanks to Tanya!
% 0.15/0.47  % SZS status Theorem for theBenchmark
% 0.15/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47  % (30394)------------------------------
% 0.15/0.47  % (30394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (30394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (30394)Termination reason: Refutation
% 0.15/0.47  
% 0.15/0.47  % (30394)Memory used [KB]: 6012
% 0.15/0.47  % (30394)Time elapsed: 0.101 s
% 0.15/0.47  % (30394)Instructions burned: 4 (million)
% 0.15/0.47  % (30394)------------------------------
% 0.15/0.47  % (30394)------------------------------
% 0.15/0.47  % (30387)Success in time 0.156 s
%------------------------------------------------------------------------------