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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM532+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n091.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:21:41 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :   97 (  40   ~;  38   |;  16   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    aSet0(xA),
    file('/export/starexec/sandbox2/tmp/tmpvh6u7z/sel_theBenchmark.p_1',m__467) ).

fof(7,conjecture,
    aSubsetOf0(xA,xA),
    file('/export/starexec/sandbox2/tmp/tmpvh6u7z/sel_theBenchmark.p_1',m__) ).

fof(9,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmpvh6u7z/sel_theBenchmark.p_1',mDefSub) ).

fof(14,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(assume_negation,[status(cth)],[7]) ).

fof(15,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).

cnf(28,plain,
    aSet0(xA),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(32,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(split_conjunct,[status(thm)],[15]) ).

fof(36,plain,
    ! [X1] :
      ( ~ aSet0(X1)
      | ! [X2] :
          ( ( ~ aSubsetOf0(X2,X1)
            | ( aSet0(X2)
              & ! [X3] :
                  ( ~ aElementOf0(X3,X2)
                  | aElementOf0(X3,X1) ) ) )
          & ( ~ aSet0(X2)
            | ? [X3] :
                ( aElementOf0(X3,X2)
                & ~ aElementOf0(X3,X1) )
            | aSubsetOf0(X2,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(37,plain,
    ! [X4] :
      ( ~ aSet0(X4)
      | ! [X5] :
          ( ( ~ aSubsetOf0(X5,X4)
            | ( aSet0(X5)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X5)
                  | aElementOf0(X6,X4) ) ) )
          & ( ~ aSet0(X5)
            | ? [X7] :
                ( aElementOf0(X7,X5)
                & ~ aElementOf0(X7,X4) )
            | aSubsetOf0(X5,X4) ) ) ),
    inference(variable_rename,[status(thm)],[36]) ).

fof(38,plain,
    ! [X4] :
      ( ~ aSet0(X4)
      | ! [X5] :
          ( ( ~ aSubsetOf0(X5,X4)
            | ( aSet0(X5)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X5)
                  | aElementOf0(X6,X4) ) ) )
          & ( ~ aSet0(X5)
            | ( aElementOf0(esk1_2(X4,X5),X5)
              & ~ aElementOf0(esk1_2(X4,X5),X4) )
            | aSubsetOf0(X5,X4) ) ) ),
    inference(skolemize,[status(esa)],[37]) ).

fof(39,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ( ~ aElementOf0(X6,X5)
              | aElementOf0(X6,X4) )
            & aSet0(X5) )
          | ~ aSubsetOf0(X5,X4) )
        & ( ~ aSet0(X5)
          | ( aElementOf0(esk1_2(X4,X5),X5)
            & ~ aElementOf0(esk1_2(X4,X5),X4) )
          | aSubsetOf0(X5,X4) ) )
      | ~ aSet0(X4) ),
    inference(shift_quantors,[status(thm)],[38]) ).

fof(40,plain,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk1_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk1_2(X4,X5),X4)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) ) ),
    inference(distribute,[status(thm)],[39]) ).

cnf(41,plain,
    ( aSubsetOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(42,plain,
    ( aSubsetOf0(X2,X1)
    | aElementOf0(esk1_2(X1,X2),X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(68,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[41,42,theory(equality)]) ).

cnf(69,negated_conjecture,
    ~ aSet0(xA),
    inference(spm,[status(thm)],[32,68,theory(equality)]) ).

cnf(73,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[69,28,theory(equality)]) ).

cnf(74,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[73,theory(equality)]) ).

cnf(75,negated_conjecture,
    $false,
    74,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM532+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n091.star.cs.uiowa.edu
% 0.02/0.22  % Model    : x86_64 x86_64
% 0.02/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22  % Memory   : 32218.625MB
% 0.02/0.22  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Fri Jan  5 08:29:45 CST 2018
% 0.02/0.22  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for []
% 0.06/0.33  -running prover on /export/starexec/sandbox2/tmp/tmpvh6u7z/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.33  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpvh6u7z/sel_theBenchmark.p_1']
% 0.06/0.33  -prover status Theorem
% 0.06/0.33  Problem theBenchmark.p solved in phase 0.
% 0.06/0.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.33  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34  Solved 1 out of 1.
% 0.06/0.34  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.34  # SZS status Theorem
% 0.06/0.34  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------