TSTP Solution File: ALG200+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG200+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n003.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 15:43:36 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  24 unt;   0 def)
%            Number of atoms       :  127 ( 120 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  150 (  60   ~;  64   |;  24   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2314,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1521,f2268,f2311]) ).

fof(f2311,plain,
    spl7_348,
    inference(avatar_split_clause,[],[f544,f2233]) ).

fof(f2233,plain,
    ( spl7_348
  <=> e0 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_348])]) ).

fof(f544,plain,
    e0 = sF4,
    inference(definition_folding,[],[f14,f543]) ).

fof(f543,plain,
    op(e0,e0) = sF4,
    introduced(function_definition,[]) ).

fof(f14,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e6 = op(e6,e6)
    & e1 = op(e1,e1)
    & e4 = op(e4,e4)
    & e5 = op(e5,e5)
    & e0 = op(e0,e0)
    & ( e2 != op(e2,e2)
      | e4 != op(e4,e4)
      | e6 != op(e6,e6)
      | e0 != op(e0,e0)
      | e5 != op(e5,e5)
      | e1 != op(e1,e1)
      | e3 != op(e3,e3) )
    & e2 = op(e2,e2)
    & ( e1 = op(e1,e1)
      | e3 = op(e3,e3)
      | e4 = op(e4,e4)
      | e5 = op(e5,e5)
      | e0 = op(e0,e0)
      | e6 = op(e6,e6)
      | e2 = op(e2,e2) )
    & e3 = op(e3,e3) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( e6 = op(e6,e6)
        & e1 = op(e1,e1)
        & e4 = op(e4,e4)
        & e5 = op(e5,e5)
        & e0 = op(e0,e0)
        & ( e2 != op(e2,e2)
          | e4 != op(e4,e4)
          | e6 != op(e6,e6)
          | e0 != op(e0,e0)
          | e5 != op(e5,e5)
          | e1 != op(e1,e1)
          | e3 != op(e3,e3) )
        & e2 = op(e2,e2)
        & ( e1 = op(e1,e1)
          | e3 = op(e3,e3)
          | e4 = op(e4,e4)
          | e5 = op(e5,e5)
          | e0 = op(e0,e0)
          | e6 = op(e6,e6)
          | e2 = op(e2,e2) )
        & e3 = op(e3,e3) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( e6 = op(e6,e6)
      & e1 = op(e1,e1)
      & e4 = op(e4,e4)
      & e5 = op(e5,e5)
      & e0 = op(e0,e0)
      & ( e2 != op(e2,e2)
        | e4 != op(e4,e4)
        | e6 != op(e6,e6)
        | e0 != op(e0,e0)
        | e5 != op(e5,e5)
        | e1 != op(e1,e1)
        | e3 != op(e3,e3) )
      & e2 = op(e2,e2)
      & ( e1 = op(e1,e1)
        | e3 = op(e3,e3)
        | e4 = op(e4,e4)
        | e5 = op(e5,e5)
        | e0 = op(e0,e0)
        | e6 = op(e6,e6)
        | e2 = op(e2,e2) )
      & e3 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2268,plain,
    ( ~ spl7_149
    | ~ spl7_348 ),
    inference(avatar_split_clause,[],[f2267,f2233,f1177]) ).

fof(f1177,plain,
    ( spl7_149
  <=> e3 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_149])]) ).

fof(f2267,plain,
    ( e0 != sF4
    | e3 != sF6 ),
    inference(subsumption_resolution,[],[f2266,f542]) ).

fof(f542,plain,
    e5 = sF3,
    inference(definition_folding,[],[f15,f541]) ).

fof(f541,plain,
    op(e5,e5) = sF3,
    introduced(function_definition,[]) ).

fof(f15,plain,
    e5 = op(e5,e5),
    inference(cnf_transformation,[],[f9]) ).

fof(f2266,plain,
    ( e3 != sF6
    | e0 != sF4
    | e5 != sF3 ),
    inference(subsumption_resolution,[],[f2265,f540]) ).

fof(f540,plain,
    e4 = sF2,
    inference(definition_folding,[],[f16,f539]) ).

fof(f539,plain,
    op(e4,e4) = sF2,
    introduced(function_definition,[]) ).

fof(f16,plain,
    e4 = op(e4,e4),
    inference(cnf_transformation,[],[f9]) ).

fof(f2265,plain,
    ( e0 != sF4
    | e4 != sF2
    | e5 != sF3
    | e3 != sF6 ),
    inference(subsumption_resolution,[],[f2264,f548]) ).

fof(f548,plain,
    e2 = sF5,
    inference(definition_folding,[],[f12,f545]) ).

fof(f545,plain,
    op(e2,e2) = sF5,
    introduced(function_definition,[]) ).

fof(f12,plain,
    e2 = op(e2,e2),
    inference(cnf_transformation,[],[f9]) ).

fof(f2264,plain,
    ( e0 != sF4
    | e2 != sF5
    | e5 != sF3
    | e3 != sF6
    | e4 != sF2 ),
    inference(subsumption_resolution,[],[f2263,f536]) ).

fof(f536,plain,
    e6 = sF0,
    inference(definition_folding,[],[f18,f535]) ).

fof(f535,plain,
    op(e6,e6) = sF0,
    introduced(function_definition,[]) ).

fof(f18,plain,
    e6 = op(e6,e6),
    inference(cnf_transformation,[],[f9]) ).

fof(f2263,plain,
    ( e6 != sF0
    | e2 != sF5
    | e0 != sF4
    | e3 != sF6
    | e5 != sF3
    | e4 != sF2 ),
    inference(subsumption_resolution,[],[f547,f538]) ).

fof(f538,plain,
    e1 = sF1,
    inference(definition_folding,[],[f17,f537]) ).

fof(f537,plain,
    op(e1,e1) = sF1,
    introduced(function_definition,[]) ).

fof(f17,plain,
    e1 = op(e1,e1),
    inference(cnf_transformation,[],[f9]) ).

fof(f547,plain,
    ( e1 != sF1
    | e4 != sF2
    | e2 != sF5
    | e5 != sF3
    | e0 != sF4
    | e6 != sF0
    | e3 != sF6 ),
    inference(definition_folding,[],[f13,f546,f537,f541,f543,f535,f539,f545]) ).

fof(f546,plain,
    op(e3,e3) = sF6,
    introduced(function_definition,[]) ).

fof(f13,plain,
    ( e2 != op(e2,e2)
    | e4 != op(e4,e4)
    | e6 != op(e6,e6)
    | e0 != op(e0,e0)
    | e5 != op(e5,e5)
    | e1 != op(e1,e1)
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f1521,plain,
    spl7_149,
    inference(avatar_split_clause,[],[f550,f1177]) ).

fof(f550,plain,
    e3 = sF6,
    inference(definition_folding,[],[f10,f546]) ).

fof(f10,plain,
    e3 = op(e3,e3),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG200+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.35  % Computer : n003.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon Aug 29 14:59:07 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.46  % (17146)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.50  % (17146)First to succeed.
% 0.20/0.50  % (17146)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (17146)------------------------------
% 0.20/0.50  % (17146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (17146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (17146)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (17146)Memory used [KB]: 6908
% 0.20/0.50  % (17146)Time elapsed: 0.040 s
% 0.20/0.50  % (17146)Instructions burned: 63 (million)
% 0.20/0.50  % (17146)------------------------------
% 0.20/0.50  % (17146)------------------------------
% 0.20/0.50  % (17121)Success in time 0.138 s
%------------------------------------------------------------------------------