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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SEU163+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 0.35s 0.53s
% Output   : Refutation 0.35s
% 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/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(c3,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => subset(A,union(B)) ),
    inference(assume_negation,[status(cth)],[t92_zfmisc_1]) ).

fof(c4,negated_conjecture,
    ? [A,B] :
      ( in(A,B)
      & ~ subset(A,union(B)) ),
    inference(fof_nnf,[status(thm)],[c3]) ).

fof(c5,negated_conjecture,
    ? [X4,X5] :
      ( in(X4,X5)
      & ~ subset(X4,union(X5)) ),
    inference(variable_rename,[status(thm)],[c4]) ).

fof(c6,negated_conjecture,
    ( in(skolem0001,skolem0002)
    & ~ subset(skolem0001,union(skolem0002)) ),
    inference(skolemize,[status(esa)],[c5]) ).

cnf(c8,negated_conjecture,
    ~ subset(skolem0001,union(skolem0002)),
    inference(split_conjunct,[status(thm)],[c6]) ).

cnf(c7,negated_conjecture,
    in(skolem0001,skolem0002),
    inference(split_conjunct,[status(thm)],[c6]) ).

fof(l50_zfmisc_1,axiom,
    ! [A,B] :
      ( in(A,B)
     => subset(A,union(B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).

fof(c0,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | subset(A,union(B)) ),
    inference(fof_nnf,[status(thm)],[l50_zfmisc_1]) ).

fof(c1,plain,
    ! [X2,X3] :
      ( ~ in(X2,X3)
      | subset(X2,union(X3)) ),
    inference(variable_rename,[status(thm)],[c0]) ).

cnf(c2,plain,
    ( ~ in(X12,X13)
    | subset(X12,union(X13)) ),
    inference(split_conjunct,[status(thm)],[c1]) ).

cnf(c23,plain,
    subset(skolem0001,union(skolem0002)),
    inference(resolution,[status(thm)],[c2,c7]) ).

cnf(c26,plain,
    $false,
    inference(resolution,[status(thm)],[c23,c8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU163+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 11:38:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.35/0.53  % Version:  1.5
% 0.35/0.53  % SZS status Theorem
% 0.35/0.53  % SZS output start CNFRefutation
% See solution above
% 0.35/0.53  
% 0.35/0.53  % Initial clauses    : 7
% 0.35/0.53  % Processed clauses  : 10
% 0.35/0.53  % Factors computed   : 1
% 0.35/0.53  % Resolvents computed: 3
% 0.35/0.53  % Tautologies deleted: 0
% 0.35/0.53  % Forward subsumed   : 0
% 0.35/0.53  % Backward subsumed  : 0
% 0.35/0.53  % -------- CPU Time ---------
% 0.35/0.53  % User time          : 0.166 s
% 0.35/0.53  % System time        : 0.009 s
% 0.35/0.53  % Total time         : 0.175 s
%------------------------------------------------------------------------------