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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM607+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n130.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 15:21:58 EST 2018

% Result   : Theorem 3.13s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   87 (  32   ~;  18   |;  31   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn  13   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(14,axiom,
    ( ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,xO) )
    & ~ ( ~ ? [X1] : aElementOf0(X1,xQ)
        | equal(xQ,slcrc0) ) ),
    file('/export/starexec/sandbox2/tmp/tmpsOtWZr/sel_theBenchmark.p_1',m__5093) ).

fof(19,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,xS) )
    | aSubsetOf0(xQ,xS)
    | ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,xS) )
    | aSubsetOf0(xQ,xS)
    | aElementOf0(xQ,szDzozmdt0(xc)) ),
    file('/export/starexec/sandbox2/tmp/tmpsOtWZr/sel_theBenchmark.p_1',m__) ).

fof(47,axiom,
    ( ! [X1] :
        ( aElementOf0(X1,xO)
       => aElementOf0(X1,xS) )
    & aSubsetOf0(xO,xS) ),
    file('/export/starexec/sandbox2/tmp/tmpsOtWZr/sel_theBenchmark.p_1',m__4998) ).

fof(103,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,xQ)
         => aElementOf0(X1,xS) )
      | aSubsetOf0(xQ,xS)
      | ! [X1] :
          ( aElementOf0(X1,xQ)
         => aElementOf0(X1,xS) )
      | aSubsetOf0(xQ,xS)
      | aElementOf0(xQ,szDzozmdt0(xc)) ),
    inference(assume_negation,[status(cth)],[19]) ).

fof(208,plain,
    ( ! [X1] :
        ( ~ aElementOf0(X1,xQ)
        | aElementOf0(X1,xO) )
    & ? [X1] : aElementOf0(X1,xQ)
    & ~ equal(xQ,slcrc0) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(209,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xQ)
        | aElementOf0(X2,xO) )
    & ? [X3] : aElementOf0(X3,xQ)
    & ~ equal(xQ,slcrc0) ),
    inference(variable_rename,[status(thm)],[208]) ).

fof(210,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xQ)
        | aElementOf0(X2,xO) )
    & aElementOf0(esk6_0,xQ)
    & ~ equal(xQ,slcrc0) ),
    inference(skolemize,[status(esa)],[209]) ).

fof(211,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xQ)
        | aElementOf0(X2,xO) )
      & aElementOf0(esk6_0,xQ)
      & ~ equal(xQ,slcrc0) ),
    inference(shift_quantors,[status(thm)],[210]) ).

cnf(214,plain,
    ( aElementOf0(X1,xO)
    | ~ aElementOf0(X1,xQ) ),
    inference(split_conjunct,[status(thm)],[211]) ).

fof(229,negated_conjecture,
    ( ? [X1] :
        ( aElementOf0(X1,xQ)
        & ~ aElementOf0(X1,xS) )
    & ~ aSubsetOf0(xQ,xS)
    & ? [X1] :
        ( aElementOf0(X1,xQ)
        & ~ aElementOf0(X1,xS) )
    & ~ aSubsetOf0(xQ,xS)
    & ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
    inference(fof_nnf,[status(thm)],[103]) ).

fof(230,negated_conjecture,
    ( ? [X2] :
        ( aElementOf0(X2,xQ)
        & ~ aElementOf0(X2,xS) )
    & ~ aSubsetOf0(xQ,xS)
    & ? [X3] :
        ( aElementOf0(X3,xQ)
        & ~ aElementOf0(X3,xS) )
    & ~ aSubsetOf0(xQ,xS)
    & ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
    inference(variable_rename,[status(thm)],[229]) ).

fof(231,negated_conjecture,
    ( aElementOf0(esk8_0,xQ)
    & ~ aElementOf0(esk8_0,xS)
    & ~ aSubsetOf0(xQ,xS)
    & aElementOf0(esk9_0,xQ)
    & ~ aElementOf0(esk9_0,xS)
    & ~ aSubsetOf0(xQ,xS)
    & ~ aElementOf0(xQ,szDzozmdt0(xc)) ),
    inference(skolemize,[status(esa)],[230]) ).

cnf(237,negated_conjecture,
    ~ aElementOf0(esk8_0,xS),
    inference(split_conjunct,[status(thm)],[231]) ).

cnf(238,negated_conjecture,
    aElementOf0(esk8_0,xQ),
    inference(split_conjunct,[status(thm)],[231]) ).

fof(373,plain,
    ( ! [X1] :
        ( ~ aElementOf0(X1,xO)
        | aElementOf0(X1,xS) )
    & aSubsetOf0(xO,xS) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(374,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xO)
        | aElementOf0(X2,xS) )
    & aSubsetOf0(xO,xS) ),
    inference(variable_rename,[status(thm)],[373]) ).

fof(375,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xO)
        | aElementOf0(X2,xS) )
      & aSubsetOf0(xO,xS) ),
    inference(shift_quantors,[status(thm)],[374]) ).

cnf(377,plain,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[375]) ).

cnf(5332,negated_conjecture,
    aElementOf0(esk8_0,xO),
    inference(spm,[status(thm)],[214,238,theory(equality)]) ).

cnf(20968,negated_conjecture,
    aElementOf0(esk8_0,xS),
    inference(spm,[status(thm)],[377,5332,theory(equality)]) ).

cnf(20979,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[20968,237,theory(equality)]) ).

cnf(20980,negated_conjecture,
    $false,
    20979,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM607+3 : 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 : n130.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 10:29:45 CST 2018
% 0.02/0.22  % CPUTime  : 
% 0.06/0.26  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for []
% 3.13/3.34  -running prover on /export/starexec/sandbox2/tmp/tmpsOtWZr/sel_theBenchmark.p_1 with time limit 29
% 3.13/3.34  -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/tmpsOtWZr/sel_theBenchmark.p_1']
% 3.13/3.34  -prover status Theorem
% 3.13/3.34  Problem theBenchmark.p solved in phase 0.
% 3.13/3.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.13/3.34  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.13/3.34  Solved 1 out of 1.
% 3.13/3.34  # Problem is unsatisfiable (or provable), constructing proof object
% 3.13/3.34  # SZS status Theorem
% 3.13/3.34  # SZS output start CNFRefutation.
% See solution above
% 3.13/3.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------