TSTP Solution File: NUM568+3 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM568+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n033.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 15:21:49 EST 2018

% Result   : Theorem 2.12s
% Output   : CNFRefutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   52 (   9 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   45 (  17   ~;  20   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   15 (   0 sgn   7   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(20,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( equal(X1,sz00)
        | ? [X2] :
            ( aElementOf0(X2,szNzAzT0)
            & equal(X1,szszuzczcdt0(X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp2iXbCX/sel_theBenchmark.p_1',mNatExtra) ).

fof(27,axiom,
    ~ equal(xK,sz00),
    file('/export/starexec/sandbox2/tmp/tmp2iXbCX/sel_theBenchmark.p_1',m__3462) ).

fof(59,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/tmp2iXbCX/sel_theBenchmark.p_1',m__3418) ).

fof(76,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & equal(szszuzczcdt0(X1),xK) ),
    file('/export/starexec/sandbox2/tmp/tmp2iXbCX/sel_theBenchmark.p_1',m__) ).

fof(81,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & equal(szszuzczcdt0(X1),xK) ),
    inference(assume_negation,[status(cth)],[76]) ).

fof(192,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | equal(X1,sz00)
      | ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & equal(X1,szszuzczcdt0(X2)) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(193,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | equal(X3,sz00)
      | ? [X4] :
          ( aElementOf0(X4,szNzAzT0)
          & equal(X3,szszuzczcdt0(X4)) ) ),
    inference(variable_rename,[status(thm)],[192]) ).

fof(194,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | equal(X3,sz00)
      | ( aElementOf0(esk7_1(X3),szNzAzT0)
        & equal(X3,szszuzczcdt0(esk7_1(X3))) ) ),
    inference(skolemize,[status(esa)],[193]) ).

fof(195,plain,
    ! [X3] :
      ( ( aElementOf0(esk7_1(X3),szNzAzT0)
        | equal(X3,sz00)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( equal(X3,szszuzczcdt0(esk7_1(X3)))
        | equal(X3,sz00)
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[194]) ).

cnf(196,plain,
    ( X1 = sz00
    | X1 = szszuzczcdt0(esk7_1(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(197,plain,
    ( X1 = sz00
    | aElementOf0(esk7_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(227,plain,
    xK != sz00,
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(4344,plain,
    aElementOf0(xK,szNzAzT0),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(4419,negated_conjecture,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ equal(szszuzczcdt0(X1),xK) ),
    inference(fof_nnf,[status(thm)],[81]) ).

fof(4420,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ~ equal(szszuzczcdt0(X2),xK) ),
    inference(variable_rename,[status(thm)],[4419]) ).

cnf(4421,negated_conjecture,
    ( szszuzczcdt0(X1) != xK
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[4420]) ).

cnf(4462,plain,
    ( sz00 = xK
    | aElementOf0(esk7_1(xK),szNzAzT0) ),
    inference(spm,[status(thm)],[197,4344,theory(equality)]) ).

cnf(4463,plain,
    aElementOf0(esk7_1(xK),szNzAzT0),
    inference(sr,[status(thm)],[4462,227,theory(equality)]) ).

cnf(4477,plain,
    ( szszuzczcdt0(esk7_1(xK)) = xK
    | sz00 = xK ),
    inference(spm,[status(thm)],[196,4344,theory(equality)]) ).

cnf(4478,plain,
    szszuzczcdt0(esk7_1(xK)) = xK,
    inference(sr,[status(thm)],[4477,227,theory(equality)]) ).

cnf(10872,plain,
    ~ aElementOf0(esk7_1(xK),szNzAzT0),
    inference(spm,[status(thm)],[4421,4478,theory(equality)]) ).

cnf(10877,plain,
    $false,
    inference(rw,[status(thm)],[10872,4463,theory(equality)]) ).

cnf(10878,plain,
    $false,
    inference(cn,[status(thm)],[10877,theory(equality)]) ).

cnf(10879,plain,
    $false,
    10878,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM568+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.24  % Computer : n033.star.cs.uiowa.edu
% 0.03/0.24  % Model    : x86_64 x86_64
% 0.03/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24  % Memory   : 32218.625MB
% 0.03/0.24  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24  % CPULimit : 300
% 0.03/0.24  % DateTime : Fri Jan  5 09:56:15 CST 2018
% 0.03/0.24  % CPUTime  : 
% 0.03/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28  --creating new selector for []
% 2.12/2.33  -running prover on /export/starexec/sandbox2/tmp/tmp2iXbCX/sel_theBenchmark.p_1 with time limit 29
% 2.12/2.33  -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/tmp2iXbCX/sel_theBenchmark.p_1']
% 2.12/2.33  -prover status Theorem
% 2.12/2.33  Problem theBenchmark.p solved in phase 0.
% 2.12/2.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.12/2.33  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.12/2.34  Solved 1 out of 1.
% 2.12/2.34  # Problem is unsatisfiable (or provable), constructing proof object
% 2.12/2.34  # SZS status Theorem
% 2.12/2.34  # SZS output start CNFRefutation.
% See solution above
% 2.12/2.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------