TSTP Solution File: SYN978+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n006.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 19:36:15 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (   9   ~;   6   |;  12   &)
%                                         (   4 <=>;   2  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    5 (   4 usr;   5 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f20,f21]) ).

fof(f21,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f10,f12]) ).

fof(f12,plain,
    ( spl0_1
  <=> a ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f10,plain,
    a,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( a
    & ( ~ b
      | ~ a )
    & ( b
      | a )
    & b ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( a
    & ( ~ b
      | ~ a )
    & ( b
      | a )
    & b ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( a
    & ( a
    <~> b )
    & b ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ( ( a
    <~> b )
    & b
    & a ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( b
        & a )
     => ( b
      <=> a ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( b
      & a )
   => ( b
    <=> a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f20,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f7,f16]) ).

fof(f16,plain,
    ( spl0_2
  <=> b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7,plain,
    b,
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f9,f16,f12]) ).

fof(f9,plain,
    ( ~ b
    | ~ a ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n006.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 22:32:25 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (22592)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)
% 0.19/0.47  % (22586)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (22586)First to succeed.
% 0.19/0.47  % (22592)Also succeeded, but the first one will report.
% 0.19/0.47  % (22586)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (22586)------------------------------
% 0.19/0.47  % (22586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (22586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (22586)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (22586)Memory used [KB]: 5884
% 0.19/0.47  % (22586)Time elapsed: 0.004 s
% 0.19/0.47  % (22586)Instructions burned: 1 (million)
% 0.19/0.47  % (22586)------------------------------
% 0.19/0.47  % (22586)------------------------------
% 0.19/0.47  % (22569)Success in time 0.129 s
%------------------------------------------------------------------------------