TSTP Solution File: NUM557+3 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM557+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n048.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 15:21:47 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   58 (   2 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   66 (  25   ~;  16   |;  22   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(46,axiom,
    ( ! [X1] :
        ( aElementOf0(X1,xP)
       => aElementOf0(X1,xS) )
    & aSubsetOf0(xP,xS)
    & equal(sbrdtbr0(xP),xk) ),
    file('/export/starexec/sandbox/tmp/tmpadzDY9/sel_theBenchmark.p_1',m__2431) ).

fof(48,conjecture,
    ( ( ( ! [X1] :
            ( aElementOf0(X1,xP)
           => aElementOf0(X1,xS) )
        | aSubsetOf0(xP,xS) )
      & equal(sbrdtbr0(xP),xk) )
    | aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    file('/export/starexec/sandbox/tmp/tmpadzDY9/sel_theBenchmark.p_1',m__) ).

fof(74,negated_conjecture,
    ~ ( ( ( ! [X1] :
              ( aElementOf0(X1,xP)
             => aElementOf0(X1,xS) )
          | aSubsetOf0(xP,xS) )
        & equal(sbrdtbr0(xP),xk) )
      | aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(assume_negation,[status(cth)],[48]) ).

fof(305,plain,
    ( ! [X1] :
        ( ~ aElementOf0(X1,xP)
        | aElementOf0(X1,xS) )
    & aSubsetOf0(xP,xS)
    & equal(sbrdtbr0(xP),xk) ),
    inference(fof_nnf,[status(thm)],[46]) ).

fof(306,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xP)
        | aElementOf0(X2,xS) )
    & aSubsetOf0(xP,xS)
    & equal(sbrdtbr0(xP),xk) ),
    inference(variable_rename,[status(thm)],[305]) ).

fof(307,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xP)
        | aElementOf0(X2,xS) )
      & aSubsetOf0(xP,xS)
      & equal(sbrdtbr0(xP),xk) ),
    inference(shift_quantors,[status(thm)],[306]) ).

cnf(308,plain,
    sbrdtbr0(xP) = xk,
    inference(split_conjunct,[status(thm)],[307]) ).

cnf(309,plain,
    aSubsetOf0(xP,xS),
    inference(split_conjunct,[status(thm)],[307]) ).

fof(313,negated_conjecture,
    ( ( ( ? [X1] :
            ( aElementOf0(X1,xP)
            & ~ aElementOf0(X1,xS) )
        & ~ aSubsetOf0(xP,xS) )
      | ~ equal(sbrdtbr0(xP),xk) )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(fof_nnf,[status(thm)],[74]) ).

fof(314,negated_conjecture,
    ( ( ( ? [X2] :
            ( aElementOf0(X2,xP)
            & ~ aElementOf0(X2,xS) )
        & ~ aSubsetOf0(xP,xS) )
      | ~ equal(sbrdtbr0(xP),xk) )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(variable_rename,[status(thm)],[313]) ).

fof(315,negated_conjecture,
    ( ( ( aElementOf0(esk10_0,xP)
        & ~ aElementOf0(esk10_0,xS)
        & ~ aSubsetOf0(xP,xS) )
      | ~ equal(sbrdtbr0(xP),xk) )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(skolemize,[status(esa)],[314]) ).

fof(316,negated_conjecture,
    ( ( aElementOf0(esk10_0,xP)
      | ~ equal(sbrdtbr0(xP),xk) )
    & ( ~ aElementOf0(esk10_0,xS)
      | ~ equal(sbrdtbr0(xP),xk) )
    & ( ~ aSubsetOf0(xP,xS)
      | ~ equal(sbrdtbr0(xP),xk) )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(distribute,[status(thm)],[315]) ).

cnf(318,negated_conjecture,
    ( sbrdtbr0(xP) != xk
    | ~ aSubsetOf0(xP,xS) ),
    inference(split_conjunct,[status(thm)],[316]) ).

cnf(445,negated_conjecture,
    ( $false
    | ~ aSubsetOf0(xP,xS) ),
    inference(rw,[status(thm)],[318,308,theory(equality)]) ).

cnf(446,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[445,309,theory(equality)]) ).

cnf(447,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[446,theory(equality)]) ).

cnf(448,negated_conjecture,
    $false,
    447,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM557+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % Computer : n048.star.cs.uiowa.edu
% 0.03/0.22  % Model    : x86_64 x86_64
% 0.03/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22  % Memory   : 32218.625MB
% 0.03/0.22  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22  % CPULimit : 300
% 0.03/0.22  % DateTime : Fri Jan  5 08:49:30 CST 2018
% 0.03/0.22  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27  --creating new selector for []
% 0.06/0.34  -running prover on /export/starexec/sandbox/tmp/tmpadzDY9/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.34  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpadzDY9/sel_theBenchmark.p_1']
% 0.06/0.34  -prover status Theorem
% 0.06/0.34  Problem theBenchmark.p solved in phase 0.
% 0.06/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34  % SZS status Ended for /export/starexec/sandbox/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
%------------------------------------------------------------------------------