TSTP Solution File: SWC375-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC375-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:40:15 EDT 2023

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   47 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  16   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f194,negated_conjecture,
    ( memberP(sk2,sk5)
    | memberP(sk1,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ( ~ memberP(sk2,sk5)
    | ~ memberP(sk1,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f430,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f431,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f432,plain,
    sk4 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f434,plain,
    ( memberP(sk2,sk5)
    | memberP(sk1,sk5) ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f435,plain,
    ( ~ memberP(sk2,sk5)
    | ~ memberP(sk1,sk5) ),
    inference(cnf_transformation,[status(esa)],[f195]) ).

fof(f443,plain,
    ( spl0_2
  <=> memberP(sk2,sk5) ),
    introduced(split_symbol_definition) ).

fof(f444,plain,
    ( memberP(sk2,sk5)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f445,plain,
    ( ~ memberP(sk2,sk5)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_3
  <=> memberP(sk1,sk5) ),
    introduced(split_symbol_definition) ).

fof(f447,plain,
    ( memberP(sk1,sk5)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f448,plain,
    ( ~ memberP(sk1,sk5)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f434,f443,f446]) ).

fof(f450,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f435,f443,f446]) ).

fof(f482,plain,
    sk2 = sk3,
    inference(forward_demodulation,[status(thm)],[f430,f432]) ).

fof(f483,plain,
    sk2 = sk1,
    inference(forward_demodulation,[status(thm)],[f431,f482]) ).

fof(f488,plain,
    ( ~ memberP(sk1,sk5)
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f483,f445]) ).

fof(f489,plain,
    ( $false
    | spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f447,f488]) ).

fof(f490,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f489]) ).

fof(f491,plain,
    ( memberP(sk1,sk5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f483,f444]) ).

fof(f492,plain,
    ( $false
    | spl0_3
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f491,f448]) ).

fof(f493,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f492]) ).

fof(f494,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f449,f450,f490,f493]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC375-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:24:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38  % Elapsed time: 0.030783 seconds
% 0.20/0.38  % CPU time: 0.046151 seconds
% 0.20/0.38  % Memory used: 15.963 MB
%------------------------------------------------------------------------------