TSTP Solution File: NUM606+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM606+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n127.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 3.09s
% Output   : CNFRefutation 3.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (   7 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   79 (  27   ~;  16   |;  31   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   23 (   0 sgn  15   !;   5   ?)

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

fof(19,conjecture,
    ( ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,szNzAzT0) )
    | aSubsetOf0(xQ,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmpFAlWF_/sel_theBenchmark.p_1',m__) ).

fof(22,axiom,
    ( aSet0(xS)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmpFAlWF_/sel_theBenchmark.p_1',m__3435) ).

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

fof(102,negated_conjecture,
    ~ ( ! [X1] :
          ( aElementOf0(X1,xQ)
         => aElementOf0(X1,szNzAzT0) )
      | aSubsetOf0(xQ,szNzAzT0) ),
    inference(assume_negation,[status(cth)],[19]) ).

fof(207,plain,
    ( ! [X1] :
        ( ~ aElementOf0(X1,xQ)
        | aElementOf0(X1,xO) )
    & ? [X1] : aElementOf0(X1,xQ)
    & ~ equal(xQ,slcrc0) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(208,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xQ)
        | aElementOf0(X2,xO) )
    & ? [X3] : aElementOf0(X3,xQ)
    & ~ equal(xQ,slcrc0) ),
    inference(variable_rename,[status(thm)],[207]) ).

fof(209,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xQ)
        | aElementOf0(X2,xO) )
    & aElementOf0(esk6_0,xQ)
    & ~ equal(xQ,slcrc0) ),
    inference(skolemize,[status(esa)],[208]) ).

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

cnf(213,plain,
    ( aElementOf0(X1,xO)
    | ~ aElementOf0(X1,xQ) ),
    inference(split_conjunct,[status(thm)],[210]) ).

fof(228,negated_conjecture,
    ( ? [X1] :
        ( aElementOf0(X1,xQ)
        & ~ aElementOf0(X1,szNzAzT0) )
    & ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[102]) ).

fof(229,negated_conjecture,
    ( ? [X2] :
        ( aElementOf0(X2,xQ)
        & ~ aElementOf0(X2,szNzAzT0) )
    & ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(variable_rename,[status(thm)],[228]) ).

fof(230,negated_conjecture,
    ( aElementOf0(esk8_0,xQ)
    & ~ aElementOf0(esk8_0,szNzAzT0)
    & ~ aSubsetOf0(xQ,szNzAzT0) ),
    inference(skolemize,[status(esa)],[229]) ).

cnf(232,negated_conjecture,
    ~ aElementOf0(esk8_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[230]) ).

cnf(233,negated_conjecture,
    aElementOf0(esk8_0,xQ),
    inference(split_conjunct,[status(thm)],[230]) ).

fof(246,plain,
    ( aSet0(xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(247,plain,
    ( aSet0(xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    inference(variable_rename,[status(thm)],[246]) ).

fof(248,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
      & aSet0(xS)
      & aSubsetOf0(xS,szNzAzT0)
      & isCountable0(xS) ),
    inference(shift_quantors,[status(thm)],[247]) ).

cnf(252,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[248]) ).

fof(368,plain,
    ( ! [X1] :
        ( ~ aElementOf0(X1,xO)
        | aElementOf0(X1,xS) )
    & aSubsetOf0(xO,xS) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(369,plain,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xO)
        | aElementOf0(X2,xS) )
    & aSubsetOf0(xO,xS) ),
    inference(variable_rename,[status(thm)],[368]) ).

fof(370,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xO)
        | aElementOf0(X2,xS) )
      & aSubsetOf0(xO,xS) ),
    inference(shift_quantors,[status(thm)],[369]) ).

cnf(372,plain,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[370]) ).

cnf(5326,negated_conjecture,
    aElementOf0(esk8_0,xO),
    inference(spm,[status(thm)],[213,233,theory(equality)]) ).

cnf(20712,negated_conjecture,
    aElementOf0(esk8_0,xS),
    inference(spm,[status(thm)],[372,5326,theory(equality)]) ).

cnf(20731,negated_conjecture,
    aElementOf0(esk8_0,szNzAzT0),
    inference(spm,[status(thm)],[252,20712,theory(equality)]) ).

cnf(20736,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[20731,232,theory(equality)]) ).

cnf(20737,negated_conjecture,
    $false,
    20736,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM606+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.25  % Computer : n127.star.cs.uiowa.edu
% 0.03/0.25  % Model    : x86_64 x86_64
% 0.03/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25  % Memory   : 32218.625MB
% 0.03/0.25  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.25  % CPULimit : 300
% 0.03/0.25  % DateTime : Fri Jan  5 10:29:45 CST 2018
% 0.03/0.25  % CPUTime  : 
% 0.03/0.29  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29  --creating new selector for []
% 3.09/3.35  -running prover on /export/starexec/sandbox2/tmp/tmpFAlWF_/sel_theBenchmark.p_1 with time limit 29
% 3.09/3.35  -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/tmpFAlWF_/sel_theBenchmark.p_1']
% 3.09/3.35  -prover status Theorem
% 3.09/3.35  Problem theBenchmark.p solved in phase 0.
% 3.09/3.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.09/3.35  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.09/3.35  Solved 1 out of 1.
% 3.09/3.35  # Problem is unsatisfiable (or provable), constructing proof object
% 3.09/3.35  # SZS status Theorem
% 3.09/3.35  # SZS output start CNFRefutation.
% See solution above
% 3.09/3.35  # SZS output end CNFRefutation
%------------------------------------------------------------------------------