TSTP Solution File: NUM533+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM533+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n104.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 15:21:41 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   71 (  21   ~;  12   |;  30   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   18 (   0 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(9,conjecture,
    ( ( ! [X1] :
          ( aElementOf0(X1,xA)
         => aElementOf0(X1,xB) )
      & aSubsetOf0(xA,xB)
      & ! [X1] :
          ( aElementOf0(X1,xB)
         => aElementOf0(X1,xC) )
      & aSubsetOf0(xB,xC) )
   => ( ! [X1] :
          ( aElementOf0(X1,xA)
         => aElementOf0(X1,xC) )
      | aSubsetOf0(xA,xC) ) ),
    file('/export/starexec/sandbox/tmp/tmp8c26iD/sel_theBenchmark.p_1',m__) ).

fof(16,negated_conjecture,
    ~ ( ( ! [X1] :
            ( aElementOf0(X1,xA)
           => aElementOf0(X1,xB) )
        & aSubsetOf0(xA,xB)
        & ! [X1] :
            ( aElementOf0(X1,xB)
           => aElementOf0(X1,xC) )
        & aSubsetOf0(xB,xC) )
     => ( ! [X1] :
            ( aElementOf0(X1,xA)
           => aElementOf0(X1,xC) )
        | aSubsetOf0(xA,xC) ) ),
    inference(assume_negation,[status(cth)],[9]) ).

fof(41,negated_conjecture,
    ( ! [X1] :
        ( ~ aElementOf0(X1,xA)
        | aElementOf0(X1,xB) )
    & aSubsetOf0(xA,xB)
    & ! [X1] :
        ( ~ aElementOf0(X1,xB)
        | aElementOf0(X1,xC) )
    & aSubsetOf0(xB,xC)
    & ? [X1] :
        ( aElementOf0(X1,xA)
        & ~ aElementOf0(X1,xC) )
    & ~ aSubsetOf0(xA,xC) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(42,negated_conjecture,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xA)
        | aElementOf0(X2,xB) )
    & aSubsetOf0(xA,xB)
    & ! [X3] :
        ( ~ aElementOf0(X3,xB)
        | aElementOf0(X3,xC) )
    & aSubsetOf0(xB,xC)
    & ? [X4] :
        ( aElementOf0(X4,xA)
        & ~ aElementOf0(X4,xC) )
    & ~ aSubsetOf0(xA,xC) ),
    inference(variable_rename,[status(thm)],[41]) ).

fof(43,negated_conjecture,
    ( ! [X2] :
        ( ~ aElementOf0(X2,xA)
        | aElementOf0(X2,xB) )
    & aSubsetOf0(xA,xB)
    & ! [X3] :
        ( ~ aElementOf0(X3,xB)
        | aElementOf0(X3,xC) )
    & aSubsetOf0(xB,xC)
    & aElementOf0(esk1_0,xA)
    & ~ aElementOf0(esk1_0,xC)
    & ~ aSubsetOf0(xA,xC) ),
    inference(skolemize,[status(esa)],[42]) ).

fof(44,negated_conjecture,
    ! [X2,X3] :
      ( ( ~ aElementOf0(X3,xB)
        | aElementOf0(X3,xC) )
      & ( ~ aElementOf0(X2,xA)
        | aElementOf0(X2,xB) )
      & aSubsetOf0(xA,xB)
      & aSubsetOf0(xB,xC)
      & aElementOf0(esk1_0,xA)
      & ~ aElementOf0(esk1_0,xC)
      & ~ aSubsetOf0(xA,xC) ),
    inference(shift_quantors,[status(thm)],[43]) ).

cnf(46,negated_conjecture,
    ~ aElementOf0(esk1_0,xC),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(47,negated_conjecture,
    aElementOf0(esk1_0,xA),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(50,negated_conjecture,
    ( aElementOf0(X1,xB)
    | ~ aElementOf0(X1,xA) ),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(51,negated_conjecture,
    ( aElementOf0(X1,xC)
    | ~ aElementOf0(X1,xB) ),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(82,negated_conjecture,
    aElementOf0(esk1_0,xB),
    inference(spm,[status(thm)],[50,47,theory(equality)]) ).

cnf(83,negated_conjecture,
    ~ aElementOf0(esk1_0,xB),
    inference(spm,[status(thm)],[46,51,theory(equality)]) ).

cnf(141,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[83,82,theory(equality)]) ).

cnf(142,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[141,theory(equality)]) ).

cnf(143,negated_conjecture,
    $false,
    142,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM533+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n104.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 08:30:29 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.06/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for []
% 0.06/0.34  -running prover on /export/starexec/sandbox/tmp/tmp8c26iD/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/tmp8c26iD/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
%------------------------------------------------------------------------------