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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SEU163+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 : Thu May  9 17:40:44 EDT 2024

% Result   : Theorem 0.83s 1.03s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t92_zfmisc_1,conjecture,
    ! [A,B] :
      ( in(A,B)
     => subset(A,union(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(c17,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => subset(A,union(B)) ),
    inference(assume_negation,[status(cth)],[t92_zfmisc_1]) ).

fof(c18,negated_conjecture,
    ? [A,B] :
      ( in(A,B)
      & ~ subset(A,union(B)) ),
    inference(fof_nnf,[status(thm)],[c17]) ).

fof(c19,negated_conjecture,
    ? [X5,X6] :
      ( in(X5,X6)
      & ~ subset(X5,union(X6)) ),
    inference(variable_rename,[status(thm)],[c18]) ).

fof(c20,negated_conjecture,
    ( in(skolem0001,skolem0002)
    & ~ subset(skolem0001,union(skolem0002)) ),
    inference(skolemize,[status(esa)],[c19]) ).

cnf(c22,negated_conjecture,
    ~ subset(skolem0001,union(skolem0002)),
    inference(split_conjunct,[status(thm)],[c20]) ).

cnf(c21,negated_conjecture,
    in(skolem0001,skolem0002),
    inference(split_conjunct,[status(thm)],[c20]) ).

fof(l50_zfmisc_1,plain,
    ! [A,B] :
      ( in(A,B)
     => subset(A,union(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).

fof(c199,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | subset(A,union(B)) ),
    inference(fof_nnf,[status(thm)],[l50_zfmisc_1]) ).

fof(c200,plain,
    ! [X126,X127] :
      ( ~ in(X126,X127)
      | subset(X126,union(X127)) ),
    inference(variable_rename,[status(thm)],[c199]) ).

cnf(c201,plain,
    ( ~ in(X782,X781)
    | subset(X782,union(X781)) ),
    inference(split_conjunct,[status(thm)],[c200]) ).

cnf(c1603,plain,
    subset(skolem0001,union(skolem0002)),
    inference(resolution,[status(thm)],[c201,c21]) ).

cnf(c1627,plain,
    $false,
    inference(resolution,[status(thm)],[c1603,c22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU163+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n002.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 : Wed May  8 12:07:53 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.83/1.03  % Version:  1.5
% 0.83/1.03  % SZS status Theorem
% 0.83/1.03  % SZS output start CNFRefutation
% See solution above
% 0.83/1.03  
% 0.83/1.03  % Initial clauses    : 176
% 0.83/1.03  % Processed clauses  : 214
% 0.83/1.03  % Factors computed   : 17
% 0.83/1.03  % Resolvents computed: 1194
% 0.83/1.03  % Tautologies deleted: 7
% 0.83/1.03  % Forward subsumed   : 165
% 0.83/1.03  % Backward subsumed  : 1
% 0.83/1.03  % -------- CPU Time ---------
% 0.83/1.03  % User time          : 0.675 s
% 0.83/1.03  % System time        : 0.013 s
% 0.83/1.03  % Total time         : 0.688 s
%------------------------------------------------------------------------------