TSTP Solution File: SWC038-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC038-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:38:58 EDT 2023

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (  15 unt;   0 def)
%            Number of atoms       :   61 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  21   ~;  21   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f84,axiom,
    ! [U] :
      ( ~ frontsegP(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,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f197,negated_conjecture,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f282,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f428,plain,
    ssList(sk1),
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f432,plain,
    nil = sk2,
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f433,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f434,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(esa)],[f192]) ).

fof(f435,plain,
    nil != sk1,
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f439,plain,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    inference(cnf_transformation,[status(esa)],[f197]) ).

fof(f454,plain,
    ( spl0_4
  <=> frontsegP(sk4,sk3) ),
    introduced(split_symbol_definition) ).

fof(f455,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f454]) ).

fof(f458,plain,
    ( spl0_5
  <=> nil = sk3 ),
    introduced(split_symbol_definition) ).

fof(f459,plain,
    ( nil = sk3
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f458]) ).

fof(f462,plain,
    ( spl0_5
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f439,f458,f454]) ).

fof(f493,plain,
    nil = sk4,
    inference(forward_demodulation,[status(thm)],[f432,f433]) ).

fof(f508,plain,
    ( nil = sk1
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f434,f459]) ).

fof(f509,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f508,f435]) ).

fof(f510,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f509]) ).

fof(f512,plain,
    ( frontsegP(nil,sk3)
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f493,f455]) ).

fof(f513,plain,
    ( frontsegP(nil,sk1)
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f434,f512]) ).

fof(f515,plain,
    ( spl0_8
  <=> ssList(sk1) ),
    introduced(split_symbol_definition) ).

fof(f517,plain,
    ( ~ ssList(sk1)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f515]) ).

fof(f518,plain,
    ( spl0_9
  <=> nil = sk1 ),
    introduced(split_symbol_definition) ).

fof(f519,plain,
    ( nil = sk1
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f518]) ).

fof(f521,plain,
    ( ~ ssList(sk1)
    | nil = sk1
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f513,f282]) ).

fof(f522,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f521,f515,f518,f454]) ).

fof(f523,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f517,f428]) ).

fof(f524,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f523]) ).

fof(f525,plain,
    ( $false
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f519,f435]) ).

fof(f526,plain,
    ~ spl0_9,
    inference(contradiction_clause,[status(thm)],[f525]) ).

fof(f527,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f462,f510,f522,f524,f526]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n020.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 May 30 11:24:13 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.36  % 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: 0.029778 seconds
% 0.20/0.38  % CPU time: 0.044259 seconds
% 0.20/0.38  % Memory used: 15.974 MB
%------------------------------------------------------------------------------