%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM141-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%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 May 31 12:24:32 EDT 2023

% Result   : Unsatisfiable 0.16s 0.52s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (  12 unt;   0 def)
%            Number of atoms       :   64 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  28   ~;  26   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   37 (;  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y] :
      ( ~ member(X,universal_class)
      | member(X,unordered_pair(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] : unordered_pair(X,X) = singleton(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [Z,X] :
      ( ~ member(Z,complement(X))
      | ~ member(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [Z,X] :
      ( ~ member(Z,universal_class)
      | member(Z,complement(X))
      | member(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [X] : union(X,singleton(X)) = successor(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ~ member(x,successor(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f171,plain,
    ! [X] :
      ( ~ member(X,universal_class)
      | ! [Y] : member(X,unordered_pair(X,Y)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f171]) ).

fof(f176,plain,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f190,plain,
    ! [Z,Y] :
      ( ! [X] : ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    inference(miniscoping,[status(esa)],[f22]) ).

fof(f191,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,complement(X1))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f195,plain,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f212,plain,
    ! [X0] : union(X0,singleton(X0)) = successor(X0),
    inference(cnf_transformation,[status(esa)],[f43]) ).

fof(f348,plain,
    member(x,universal_class),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f349,plain,
    ~ member(x,successor(x)),
    inference(cnf_transformation,[status(esa)],[f160]) ).

fof(f360,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    inference(paramodulation,[status(thm)],[f176,f172]) ).

fof(f472,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,universal_class)
      | member(X0,union(X1,X2))
      | member(X0,intersection(complement(X1),complement(X2))) ),
    inference(paramodulation,[status(thm)],[f195,f194]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,successor(X1))
      | member(X0,intersection(complement(X1),complement(singleton(X1)))) ),
    inference(paramodulation,[status(thm)],[f212,f472]) ).

fof(f491,plain,
    ( spl0_12
  <=> member(x,universal_class) ),
    introduced(split_symbol_definition) ).

fof(f493,plain,
    ( ~ member(x,universal_class)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,plain,
    ( spl0_13
  <=> member(x,intersection(complement(x),complement(singleton(x)))) ),
    introduced(split_symbol_definition) ).

fof(f495,plain,
    ( member(x,intersection(complement(x),complement(singleton(x))))
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f494]) ).

fof(f497,plain,
    ( ~ member(x,universal_class)
    | member(x,intersection(complement(x),complement(singleton(x)))) ),
    inference(resolution,[status(thm)],[f490,f349]) ).

fof(f498,plain,
    ( ~ spl0_12
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f497,f491,f494]) ).

fof(f499,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f493,f348]) ).

fof(f500,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f499]) ).

fof(f667,plain,
    ( member(x,complement(singleton(x)))
    | ~ spl0_13 ),
    inference(resolution,[status(thm)],[f191,f495]) ).

fof(f677,plain,
    ( ~ member(x,singleton(x))
    | ~ spl0_13 ),
    inference(resolution,[status(thm)],[f667,f193]) ).

fof(f1081,plain,
    ( ~ member(x,universal_class)
    | ~ spl0_13 ),
    inference(resolution,[status(thm)],[f677,f360]) ).

fof(f1082,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f1081,f491,f494]) ).

fof(f1083,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f498,f500,f1082]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : NUM141-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 09:53:53 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.32  % Drodi V3.5.1
% 0.16/0.52  % Refutation found
% 0.16/0.52  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.219431 seconds
% 0.16/0.54  % CPU time: 0.844240 seconds
% 0.16/0.54  % Memory used: 72.351 MB
%------------------------------------------------------------------------------