TSTP Solution File: CSR038+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR038+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 06:12:45 EST 2010

% Result   : Theorem 0.86s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (   8 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  27   ~;  20   |;   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   :   29 (   0 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/tmp/tmpow6b-s/sel_CSR038+2.p_4',ax1_245) ).

fof(12,axiom,
    ! [X6,X7,X8,X9] :
      ( ( isa(X6,X7)
        & relationexistsall(X8,X9,X7) )
     => isa(f_relationexistsallfn(X6,X8,X9,X7),X9) ),
    file('/tmp/tmpow6b-s/sel_CSR038+2.p_4',ax1_64) ).

fof(41,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/tmp/tmpow6b-s/sel_CSR038+2.p_4',ax1_134) ).

fof(63,axiom,
    ! [X6] :
      ( isa(X6,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X6,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X6) ),
    file('/tmp/tmpow6b-s/sel_CSR038+2.p_4',ax1_244) ).

fof(73,axiom,
    ! [X5] :
      ( isa(X5,c_tptpcol_16_7738)
     => tptpcol_16_7738(X5) ),
    file('/tmp/tmpow6b-s/sel_CSR038+2.p_4',ax1_673) ).

fof(81,conjecture,
    ? [X5] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X5,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X5) ) ),
    file('/tmp/tmpow6b-s/sel_CSR038+2.p_4',query88) ).

fof(82,negated_conjecture,
    ~ ? [X5] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X5,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X5) ) ),
    inference(assume_negation,[status(cth)],[81]) ).

cnf(85,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[2]) ).

fof(109,plain,
    ! [X6,X7,X8,X9] :
      ( ~ isa(X6,X7)
      | ~ relationexistsall(X8,X9,X7)
      | isa(f_relationexistsallfn(X6,X8,X9,X7),X9) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(110,plain,
    ! [X10,X11,X12,X13] :
      ( ~ isa(X10,X11)
      | ~ relationexistsall(X12,X13,X11)
      | isa(f_relationexistsallfn(X10,X12,X13,X11),X13) ),
    inference(variable_rename,[status(thm)],[109]) ).

cnf(111,plain,
    ( isa(f_relationexistsallfn(X1,X2,X3,X4),X3)
    | ~ relationexistsall(X2,X3,X4)
    | ~ isa(X1,X4) ),
    inference(split_conjunct,[status(thm)],[110]) ).

cnf(185,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[41]) ).

fof(243,plain,
    ! [X6] :
      ( ~ isa(X6,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X6,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X6) ),
    inference(fof_nnf,[status(thm)],[63]) ).

fof(244,plain,
    ! [X7] :
      ( ~ isa(X7,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X7,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X7) ),
    inference(variable_rename,[status(thm)],[243]) ).

cnf(245,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)],[244]) ).

fof(266,plain,
    ! [X5] :
      ( ~ isa(X5,c_tptpcol_16_7738)
      | tptpcol_16_7738(X5) ),
    inference(fof_nnf,[status(thm)],[73]) ).

fof(267,plain,
    ! [X6] :
      ( ~ isa(X6,c_tptpcol_16_7738)
      | tptpcol_16_7738(X6) ),
    inference(variable_rename,[status(thm)],[266]) ).

cnf(268,plain,
    ( tptpcol_16_7738(X1)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(split_conjunct,[status(thm)],[267]) ).

fof(284,negated_conjecture,
    ! [X5] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X5,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X5) ) ),
    inference(fof_nnf,[status(thm)],[82]) ).

fof(285,negated_conjecture,
    ! [X6] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X6,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X6) ) ),
    inference(variable_rename,[status(thm)],[284]) ).

cnf(286,negated_conjecture,
    ( ~ tptpcol_16_7738(X1)
    | ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(split_conjunct,[status(thm)],[285]) ).

cnf(317,negated_conjecture,
    ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,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)],[286,245,theory(equality)]) ).

cnf(319,negated_conjecture,
    ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
    | $false ),
    inference(rw,[status(thm)],[317,185,theory(equality)]) ).

cnf(320,negated_conjecture,
    ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
    inference(cn,[status(thm)],[319,theory(equality)]) ).

cnf(321,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(spm,[status(thm)],[320,268,theory(equality)]) ).

cnf(322,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)],[321,111,theory(equality)]) ).

cnf(323,negated_conjecture,
    ( $false
    | ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(rw,[status(thm)],[322,185,theory(equality)]) ).

cnf(324,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[323,85,theory(equality)]) ).

cnf(325,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[324,theory(equality)]) ).

cnf(326,negated_conjecture,
    $false,
    325,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR038+2.p
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpow6b-s/sel_CSR038+2.p_1 with time limit 29
% -prover status CounterSatisfiable
% -running prover on /tmp/tmpow6b-s/sel_CSR038+2.p_2 with time limit 89
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpow6b-s/sel_CSR038+2.p_3 with time limit 119
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpow6b-s/sel_CSR038+2.p_4 with time limit 149
% -prover status Theorem
% Problem CSR038+2.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR038+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR038+2.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
% 
%------------------------------------------------------------------------------