TSTP Solution File: SWC044-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC044-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:39:00 EDT 2023

% Result   : Unsatisfiable 0.10s 0.28s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   28 (  18 unt;   0 def)
%            Number of atoms       :   40 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 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(f82,axiom,
    ! [U] :
      ( ~ rearsegP(nil,U)
      | ~ ssList(U)
      | nil = U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f191,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    rearsegP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f277,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[status(esa)],[f82]) ).

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

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

fof(f430,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f431,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f432,plain,
    rearsegP(sk4,sk3),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f433,plain,
    nil != sk1,
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f471,plain,
    nil = sk4,
    inference(forward_demodulation,[status(thm)],[f429,f430]) ).

fof(f474,plain,
    rearsegP(nil,sk3),
    inference(forward_demodulation,[status(thm)],[f471,f432]) ).

fof(f475,plain,
    rearsegP(nil,sk1),
    inference(forward_demodulation,[status(thm)],[f431,f474]) ).

fof(f476,plain,
    ( spl0_2
  <=> ssList(sk1) ),
    introduced(split_symbol_definition) ).

fof(f478,plain,
    ( ~ ssList(sk1)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f476]) ).

fof(f479,plain,
    ( spl0_3
  <=> nil = sk1 ),
    introduced(split_symbol_definition) ).

fof(f480,plain,
    ( nil = sk1
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f479]) ).

fof(f482,plain,
    ( ~ ssList(sk1)
    | nil = sk1 ),
    inference(resolution,[status(thm)],[f277,f475]) ).

fof(f483,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f482,f476,f479]) ).

fof(f496,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f478,f425]) ).

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

fof(f498,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f480,f433]) ).

fof(f499,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f498]) ).

fof(f500,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f483,f497,f499]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07  % Problem  : SWC044-1 : TPTP v8.1.2. Released v2.4.0.
% 0.01/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n016.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 11:53:43 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.10/0.27  % Drodi V3.5.1
% 0.10/0.28  % Refutation found
% 0.10/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.28  % Elapsed time: 0.017940 seconds
% 0.10/0.28  % CPU time: 0.026289 seconds
% 0.10/0.28  % Memory used: 15.927 MB
%------------------------------------------------------------------------------