TSTP Solution File: CSR038+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR038+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 06:12:50 EST 2010

% Result   : Theorem 1.37s
% Output   : CNFRefutation 1.37s
% 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(13,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/tmp/tmpk7hlpe/sel_CSR038+3.p_1',ax2_1867) ).

fof(25,axiom,
    ! [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) ),
    file('/tmp/tmpk7hlpe/sel_CSR038+3.p_1',ax2_85) ).

fof(26,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/tmp/tmpk7hlpe/sel_CSR038+3.p_1',ax2_86) ).

fof(40,axiom,
    ! [X12,X13,X14,X15] :
      ( ( isa(X12,X13)
        & relationexistsall(X14,X15,X13) )
     => isa(f_relationexistsallfn(X12,X14,X15,X13),X15) ),
    file('/tmp/tmpk7hlpe/sel_CSR038+3.p_1',ax2_453) ).

fof(48,axiom,
    ! [X9] :
      ( isa(X9,c_tptpcol_16_7738)
     => tptpcol_16_7738(X9) ),
    file('/tmp/tmpk7hlpe/sel_CSR038+3.p_1',ax2_7785) ).

fof(69,conjecture,
    ? [X9] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X9,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X9) ) ),
    file('/tmp/tmpk7hlpe/sel_CSR038+3.p_1',query138) ).

fof(70,negated_conjecture,
    ~ ? [X9] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X9,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X9) ) ),
    inference(assume_negation,[status(cth)],[69]) ).

cnf(100,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[13]) ).

fof(127,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(fof_nnf,[status(thm)],[25]) ).

fof(128,plain,
    ! [X13] :
      ( ~ isa(X13,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X13,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X13) ),
    inference(variable_rename,[status(thm)],[127]) ).

cnf(129,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)],[128]) ).

cnf(130,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(164,plain,
    ! [X12,X13,X14,X15] :
      ( ~ isa(X12,X13)
      | ~ relationexistsall(X14,X15,X13)
      | isa(f_relationexistsallfn(X12,X14,X15,X13),X15) ),
    inference(fof_nnf,[status(thm)],[40]) ).

fof(165,plain,
    ! [X16,X17,X18,X19] :
      ( ~ isa(X16,X17)
      | ~ relationexistsall(X18,X19,X17)
      | isa(f_relationexistsallfn(X16,X18,X19,X17),X19) ),
    inference(variable_rename,[status(thm)],[164]) ).

cnf(166,plain,
    ( isa(f_relationexistsallfn(X1,X2,X3,X4),X3)
    | ~ relationexistsall(X2,X3,X4)
    | ~ isa(X1,X4) ),
    inference(split_conjunct,[status(thm)],[165]) ).

fof(184,plain,
    ! [X9] :
      ( ~ isa(X9,c_tptpcol_16_7738)
      | tptpcol_16_7738(X9) ),
    inference(fof_nnf,[status(thm)],[48]) ).

fof(185,plain,
    ! [X10] :
      ( ~ isa(X10,c_tptpcol_16_7738)
      | tptpcol_16_7738(X10) ),
    inference(variable_rename,[status(thm)],[184]) ).

cnf(186,plain,
    ( tptpcol_16_7738(X1)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(split_conjunct,[status(thm)],[185]) ).

fof(235,negated_conjecture,
    ! [X9] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X9,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X9) ) ),
    inference(fof_nnf,[status(thm)],[70]) ).

fof(236,negated_conjecture,
    ! [X10] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X10,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X10) ) ),
    inference(variable_rename,[status(thm)],[235]) ).

cnf(237,negated_conjecture,
    ( ~ tptpcol_16_7738(X1)
    | ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(split_conjunct,[status(thm)],[236]) ).

cnf(242,negated_conjecture,
    ( ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(spm,[status(thm)],[237,186,theory(equality)]) ).

cnf(267,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)],[242,129,theory(equality)]) ).

cnf(268,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)],[267,100,theory(equality)]) ).

cnf(269,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)],[268,theory(equality)]) ).

cnf(270,negated_conjecture,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(spm,[status(thm)],[269,166,theory(equality)]) ).

cnf(271,negated_conjecture,
    ( $false
    | ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(rw,[status(thm)],[270,100,theory(equality)]) ).

cnf(272,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[271,130,theory(equality)]) ).

cnf(273,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[272,theory(equality)]) ).

cnf(274,negated_conjecture,
    $false,
    273,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR038+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmpk7hlpe/sel_CSR038+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR038+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR038+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR038+3.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
% 
%------------------------------------------------------------------------------