TSTP Solution File: SWC102-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC102-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 May 31 12:39:15 EDT 2023

% Result   : Unsatisfiable 0.19s 0.62s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  16 unt;   0 def)
%            Number of atoms       :   42 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  12   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,axiom,
    ! [U] :
      ( ~ ssList(U)
      | frontsegP(U,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f186,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    sk4 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f255,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f425,plain,
    ssList(sk1),
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f429,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f430,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f431,plain,
    sk4 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f432,plain,
    neq(sk2,nil),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f433,plain,
    ( ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f441,plain,
    ( spl0_2
  <=> neq(sk1,nil) ),
    introduced(split_symbol_definition) ).

fof(f443,plain,
    ( ~ neq(sk1,nil)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f441]) ).

fof(f444,plain,
    ( spl0_3
  <=> frontsegP(sk2,sk1) ),
    introduced(split_symbol_definition) ).

fof(f446,plain,
    ( ~ frontsegP(sk2,sk1)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f444]) ).

fof(f447,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f433,f441,f444]) ).

fof(f479,plain,
    sk2 = sk3,
    inference(forward_demodulation,[status(thm)],[f429,f431]) ).

fof(f480,plain,
    sk2 = sk1,
    inference(forward_demodulation,[status(thm)],[f430,f479]) ).

fof(f483,plain,
    neq(sk1,nil),
    inference(forward_demodulation,[status(thm)],[f480,f432]) ).

fof(f496,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f443,f483]) ).

fof(f497,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f496]) ).

fof(f498,plain,
    ( ~ frontsegP(sk1,sk1)
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f480,f446]) ).

fof(f499,plain,
    ( ~ ssList(sk1)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f498,f255]) ).

fof(f500,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f499,f425]) ).

fof(f501,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f500]) ).

fof(f502,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f447,f497,f501]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16  % Problem  : SWC102-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.17  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.38  % Computer : n014.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8042.1875MB
% 0.11/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Tue May 30 11:16:04 EDT 2023
% 0.11/0.38  % CPUTime  : 
% 0.11/0.39  % Drodi V3.5.1
% 0.19/0.62  % Refutation found
% 0.19/0.62  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.62  % Elapsed time: 0.018090 seconds
% 0.19/0.62  % CPU time: 0.018888 seconds
% 0.19/0.62  % Memory used: 4.008 MB
%------------------------------------------------------------------------------