TSTP Solution File: NUM633+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM633+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n041.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 15:22:04 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :  124 (  10 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  163 (  65   ~;  53   |;  39   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn  19   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(18,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,slbdtsldtrb0(xO,xK))
       => ( ~ equal(X1,slcrc0)
          & aSubsetOf0(X1,szNzAzT0)
          & aElementOf0(X1,szDzozmdt0(xc))
          & equal(sdtlpdtrp0(xc,X1),szDzizrdt0(xd)) ) )
   => ? [X1] :
        ( aElementOf0(X1,xT)
        & ? [X2] :
            ( aSubsetOf0(X2,xS)
            & isCountable0(X2)
            & ! [X3] :
                ( aElementOf0(X3,slbdtsldtrb0(X2,xK))
               => equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpauwWP2/sel_theBenchmark.p_1',m__) ).

fof(23,axiom,
    ( aElementOf0(szDzizrdt0(xd),xT)
    & isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/tmp/tmpauwWP2/sel_theBenchmark.p_1',m__4854) ).

fof(46,axiom,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/tmp/tmpauwWP2/sel_theBenchmark.p_1',m__4998) ).

fof(50,axiom,
    ( aSet0(xO)
    & isCountable0(xO) ),
    file('/export/starexec/sandbox/tmp/tmpauwWP2/sel_theBenchmark.p_1',m__4908) ).

fof(100,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,slbdtsldtrb0(xO,xK))
         => ( ~ equal(X1,slcrc0)
            & aSubsetOf0(X1,szNzAzT0)
            & aElementOf0(X1,szDzozmdt0(xc))
            & equal(sdtlpdtrp0(xc,X1),szDzizrdt0(xd)) ) )
     => ? [X1] :
          ( aElementOf0(X1,xT)
          & ? [X2] :
              ( aSubsetOf0(X2,xS)
              & isCountable0(X2)
              & ! [X3] :
                  ( aElementOf0(X3,slbdtsldtrb0(X2,xK))
                 => equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
    inference(assume_negation,[status(cth)],[18]) ).

fof(195,negated_conjecture,
    ( ! [X1] :
        ( ~ aElementOf0(X1,slbdtsldtrb0(xO,xK))
        | ( ~ equal(X1,slcrc0)
          & aSubsetOf0(X1,szNzAzT0)
          & aElementOf0(X1,szDzozmdt0(xc))
          & equal(sdtlpdtrp0(xc,X1),szDzizrdt0(xd)) ) )
    & ! [X1] :
        ( ~ aElementOf0(X1,xT)
        | ! [X2] :
            ( ~ aSubsetOf0(X2,xS)
            | ~ isCountable0(X2)
            | ? [X3] :
                ( aElementOf0(X3,slbdtsldtrb0(X2,xK))
                & ~ equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[100]) ).

fof(196,negated_conjecture,
    ( ! [X4] :
        ( ~ aElementOf0(X4,slbdtsldtrb0(xO,xK))
        | ( ~ equal(X4,slcrc0)
          & aSubsetOf0(X4,szNzAzT0)
          & aElementOf0(X4,szDzozmdt0(xc))
          & equal(sdtlpdtrp0(xc,X4),szDzizrdt0(xd)) ) )
    & ! [X5] :
        ( ~ aElementOf0(X5,xT)
        | ! [X6] :
            ( ~ aSubsetOf0(X6,xS)
            | ~ isCountable0(X6)
            | ? [X7] :
                ( aElementOf0(X7,slbdtsldtrb0(X6,xK))
                & ~ equal(sdtlpdtrp0(xc,X7),X5) ) ) ) ),
    inference(variable_rename,[status(thm)],[195]) ).

fof(197,negated_conjecture,
    ( ! [X4] :
        ( ~ aElementOf0(X4,slbdtsldtrb0(xO,xK))
        | ( ~ equal(X4,slcrc0)
          & aSubsetOf0(X4,szNzAzT0)
          & aElementOf0(X4,szDzozmdt0(xc))
          & equal(sdtlpdtrp0(xc,X4),szDzizrdt0(xd)) ) )
    & ! [X5] :
        ( ~ aElementOf0(X5,xT)
        | ! [X6] :
            ( ~ aSubsetOf0(X6,xS)
            | ~ isCountable0(X6)
            | ( aElementOf0(esk7_2(X5,X6),slbdtsldtrb0(X6,xK))
              & ~ equal(sdtlpdtrp0(xc,esk7_2(X5,X6)),X5) ) ) ) ),
    inference(skolemize,[status(esa)],[196]) ).

fof(198,negated_conjecture,
    ! [X4,X5,X6] :
      ( ( ~ aSubsetOf0(X6,xS)
        | ~ isCountable0(X6)
        | ( aElementOf0(esk7_2(X5,X6),slbdtsldtrb0(X6,xK))
          & ~ equal(sdtlpdtrp0(xc,esk7_2(X5,X6)),X5) )
        | ~ aElementOf0(X5,xT) )
      & ( ~ aElementOf0(X4,slbdtsldtrb0(xO,xK))
        | ( ~ equal(X4,slcrc0)
          & aSubsetOf0(X4,szNzAzT0)
          & aElementOf0(X4,szDzozmdt0(xc))
          & equal(sdtlpdtrp0(xc,X4),szDzizrdt0(xd)) ) ) ),
    inference(shift_quantors,[status(thm)],[197]) ).

fof(199,negated_conjecture,
    ! [X4,X5,X6] :
      ( ( aElementOf0(esk7_2(X5,X6),slbdtsldtrb0(X6,xK))
        | ~ aSubsetOf0(X6,xS)
        | ~ isCountable0(X6)
        | ~ aElementOf0(X5,xT) )
      & ( ~ equal(sdtlpdtrp0(xc,esk7_2(X5,X6)),X5)
        | ~ aSubsetOf0(X6,xS)
        | ~ isCountable0(X6)
        | ~ aElementOf0(X5,xT) )
      & ( ~ equal(X4,slcrc0)
        | ~ aElementOf0(X4,slbdtsldtrb0(xO,xK)) )
      & ( aSubsetOf0(X4,szNzAzT0)
        | ~ aElementOf0(X4,slbdtsldtrb0(xO,xK)) )
      & ( aElementOf0(X4,szDzozmdt0(xc))
        | ~ aElementOf0(X4,slbdtsldtrb0(xO,xK)) )
      & ( equal(sdtlpdtrp0(xc,X4),szDzizrdt0(xd))
        | ~ aElementOf0(X4,slbdtsldtrb0(xO,xK)) ) ),
    inference(distribute,[status(thm)],[198]) ).

cnf(200,negated_conjecture,
    ( sdtlpdtrp0(xc,X1) = szDzizrdt0(xd)
    | ~ aElementOf0(X1,slbdtsldtrb0(xO,xK)) ),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(204,negated_conjecture,
    ( ~ aElementOf0(X1,xT)
    | ~ isCountable0(X2)
    | ~ aSubsetOf0(X2,xS)
    | sdtlpdtrp0(xc,esk7_2(X1,X2)) != X1 ),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(205,negated_conjecture,
    ( aElementOf0(esk7_2(X1,X2),slbdtsldtrb0(X2,xK))
    | ~ aElementOf0(X1,xT)
    | ~ isCountable0(X2)
    | ~ aSubsetOf0(X2,xS) ),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(221,plain,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(325,plain,
    aSubsetOf0(xO,xS),
    inference(split_conjunct,[status(thm)],[46]) ).

cnf(353,plain,
    isCountable0(xO),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(746,negated_conjecture,
    ( sdtlpdtrp0(xc,esk7_2(X1,xO)) = szDzizrdt0(xd)
    | ~ isCountable0(xO)
    | ~ aSubsetOf0(xO,xS)
    | ~ aElementOf0(X1,xT) ),
    inference(spm,[status(thm)],[200,205,theory(equality)]) ).

cnf(759,negated_conjecture,
    ( sdtlpdtrp0(xc,esk7_2(X1,xO)) = szDzizrdt0(xd)
    | $false
    | ~ aSubsetOf0(xO,xS)
    | ~ aElementOf0(X1,xT) ),
    inference(rw,[status(thm)],[746,353,theory(equality)]) ).

cnf(760,negated_conjecture,
    ( sdtlpdtrp0(xc,esk7_2(X1,xO)) = szDzizrdt0(xd)
    | $false
    | $false
    | ~ aElementOf0(X1,xT) ),
    inference(rw,[status(thm)],[759,325,theory(equality)]) ).

cnf(761,negated_conjecture,
    ( sdtlpdtrp0(xc,esk7_2(X1,xO)) = szDzizrdt0(xd)
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[760,theory(equality)]) ).

cnf(2283,negated_conjecture,
    ( szDzizrdt0(xd) != X1
    | ~ isCountable0(xO)
    | ~ aSubsetOf0(xO,xS)
    | ~ aElementOf0(X1,xT) ),
    inference(spm,[status(thm)],[204,761,theory(equality)]) ).

cnf(2289,negated_conjecture,
    ( szDzizrdt0(xd) != X1
    | $false
    | ~ aSubsetOf0(xO,xS)
    | ~ aElementOf0(X1,xT) ),
    inference(rw,[status(thm)],[2283,353,theory(equality)]) ).

cnf(2290,negated_conjecture,
    ( szDzizrdt0(xd) != X1
    | $false
    | $false
    | ~ aElementOf0(X1,xT) ),
    inference(rw,[status(thm)],[2289,325,theory(equality)]) ).

cnf(2291,negated_conjecture,
    ( szDzizrdt0(xd) != X1
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[2290,theory(equality)]) ).

cnf(2378,plain,
    $false,
    inference(spm,[status(thm)],[2291,221,theory(equality)]) ).

cnf(2388,plain,
    $false,
    2378,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM633+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n041.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 11:09:59 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for []
% 0.06/0.41  -running prover on /export/starexec/sandbox/tmp/tmpauwWP2/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.41  -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/tmpauwWP2/sel_theBenchmark.p_1']
% 0.06/0.41  -prover status Theorem
% 0.06/0.41  Problem theBenchmark.p solved in phase 0.
% 0.06/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41  Solved 1 out of 1.
% 0.06/0.41  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.41  # SZS status Theorem
% 0.06/0.41  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.42  # SZS output end CNFRefutation
%------------------------------------------------------------------------------