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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n022.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 19:46:15 EDT 2022

% Result   : Theorem 1.20s 0.66s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   24 (   6   ~;   4   |;   6   &)
%                                         (   4 <=>;   2  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    4 (   2 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(f21,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f18,f20]) ).

fof(f20,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f19]) ).

fof(f19,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f12,f8]) ).

fof(f8,plain,
    b,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( a
    <~> b )
    & b
    & a ),
    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(f12,plain,
    ( ~ b
    | spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_1
  <=> b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f18,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f7,f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> a ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7,plain,
    a,
    inference(cnf_transformation,[],[f4]) ).

fof(f17,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f6,f14,f10]) ).

fof(f6,plain,
    ( ~ a
    | ~ b ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n022.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 22:34:55 EDT 2022
% 0.14/0.34  % CPUTime    : 
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% 0.95/0.64  % (17023)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.20/0.66  % (17023)First to succeed.
% 1.20/0.66  % (17023)Refutation found. Thanks to Tanya!
% 1.20/0.66  % SZS status Theorem for theBenchmark
% 1.20/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.66  % (17023)------------------------------
% 1.20/0.66  % (17023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.66  % (17023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.66  % (17023)Termination reason: Refutation
% 1.20/0.66  
% 1.20/0.66  % (17023)Memory used [KB]: 5373
% 1.20/0.66  % (17023)Time elapsed: 0.077 s
% 1.20/0.66  % (17023)Instructions burned: 1 (million)
% 1.20/0.66  % (17023)------------------------------
% 1.20/0.66  % (17023)------------------------------
% 1.20/0.66  % (16878)Success in time 0.306 s
%------------------------------------------------------------------------------