TSTP Solution File: CSR038+4 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR038+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 06:12:55 EST 2010

% Result   : Theorem 6.93s
% Output   : CNFRefutation 6.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (   7 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   59 (  28   ~;  21   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   30 (   0 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(20,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/tmp/tmpcvS6ZE/sel_CSR038+4.p_1',ax3_14430) ).

fof(33,axiom,
    ! [X11] :
      ( isa(X11,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X11,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X11) ),
    file('/tmp/tmpcvS6ZE/sel_CSR038+4.p_1',ax3_14429) ).

fof(35,axiom,
    ! [X11,X12,X13,X14] :
      ( ( isa(X11,X12)
        & relationexistsall(X13,X14,X12) )
     => isa(f_relationexistsallfn(X11,X13,X14,X12),X14) ),
    file('/tmp/tmpcvS6ZE/sel_CSR038+4.p_1',ax3_15034) ).

fof(38,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/tmp/tmpcvS6ZE/sel_CSR038+4.p_1',ax3_7211) ).

fof(70,axiom,
    ! [X6] :
      ( isa(X6,c_tptpcol_16_7738)
     => tptpcol_16_7738(X6) ),
    file('/tmp/tmpcvS6ZE/sel_CSR038+4.p_1',ax3_36134) ).

fof(102,conjecture,
    ? [X6] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X6,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X6) ) ),
    file('/tmp/tmpcvS6ZE/sel_CSR038+4.p_1',query188) ).

fof(103,negated_conjecture,
    ~ ? [X6] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X6,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X6) ) ),
    inference(assume_negation,[status(cth)],[102]) ).

cnf(146,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(177,plain,
    ! [X11] :
      ( ~ isa(X11,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X11,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X11) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(178,plain,
    ! [X12] :
      ( ~ isa(X12,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X12,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X12) ),
    inference(variable_rename,[status(thm)],[177]) ).

cnf(179,plain,
    ( tptp_8_968(f_relationexistsallfn(X1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1)
    | ~ isa(X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(split_conjunct,[status(thm)],[178]) ).

fof(181,plain,
    ! [X11,X12,X13,X14] :
      ( ~ isa(X11,X12)
      | ~ relationexistsall(X13,X14,X12)
      | isa(f_relationexistsallfn(X11,X13,X14,X12),X14) ),
    inference(fof_nnf,[status(thm)],[35]) ).

fof(182,plain,
    ! [X15,X16,X17,X18] :
      ( ~ isa(X15,X16)
      | ~ relationexistsall(X17,X18,X16)
      | isa(f_relationexistsallfn(X15,X17,X18,X16),X18) ),
    inference(variable_rename,[status(thm)],[181]) ).

cnf(183,plain,
    ( isa(f_relationexistsallfn(X1,X2,X3,X4),X3)
    | ~ relationexistsall(X2,X3,X4)
    | ~ isa(X1,X4) ),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(190,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[38]) ).

fof(257,plain,
    ! [X6] :
      ( ~ isa(X6,c_tptpcol_16_7738)
      | tptpcol_16_7738(X6) ),
    inference(fof_nnf,[status(thm)],[70]) ).

fof(258,plain,
    ! [X7] :
      ( ~ isa(X7,c_tptpcol_16_7738)
      | tptpcol_16_7738(X7) ),
    inference(variable_rename,[status(thm)],[257]) ).

cnf(259,plain,
    ( tptpcol_16_7738(X1)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(split_conjunct,[status(thm)],[258]) ).

fof(335,negated_conjecture,
    ! [X6] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X6,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X6) ) ),
    inference(fof_nnf,[status(thm)],[103]) ).

fof(336,negated_conjecture,
    ! [X7] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X7,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X7) ) ),
    inference(variable_rename,[status(thm)],[335]) ).

cnf(337,negated_conjecture,
    ( ~ tptpcol_16_7738(X1)
    | ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(split_conjunct,[status(thm)],[336]) ).

cnf(347,negated_conjecture,
    ( ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(spm,[status(thm)],[337,259,theory(equality)]) ).

cnf(406,negated_conjecture,
    ( ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
    | ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(spm,[status(thm)],[347,179,theory(equality)]) ).

cnf(407,negated_conjecture,
    ( ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
    | $false ),
    inference(rw,[status(thm)],[406,190,theory(equality)]) ).

cnf(408,negated_conjecture,
    ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),
    inference(cn,[status(thm)],[407,theory(equality)]) ).

cnf(409,negated_conjecture,
    ( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(spm,[status(thm)],[408,183,theory(equality)]) ).

cnf(410,negated_conjecture,
    ( $false
    | ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(rw,[status(thm)],[409,146,theory(equality)]) ).

cnf(411,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[410,190,theory(equality)]) ).

cnf(412,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[411,theory(equality)]) ).

cnf(413,negated_conjecture,
    $false,
    412,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR038+4.p
% --creating new selector for [CSR002+3.ax]
% -running prover on /tmp/tmpcvS6ZE/sel_CSR038+4.p_1 with time limit 29
% -prover status Theorem
% Problem CSR038+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR038+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR038+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------