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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR027+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 06:02:47 EST 2010

% Result   : Theorem 6.96s
% Output   : CNFRefutation 6.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   42 (   9 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  101 (  48   ~;  39   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   38 (   0 sgn  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_10929) ).

fof(4,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_10886) ).

fof(23,axiom,
    ! [X1] :
      ( isa(X1,c_tptpcol_16_31868)
     => tptpcol_16_31868(X1) ),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_37514) ).

fof(24,axiom,
    ! [X9] :
      ( ( mtvisible(c_tptp_member2610_mt)
        & isa(X9,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
     => tptp_8_875(X9,f_relationallexistsfn(X9,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_14870) ).

fof(25,axiom,
    ( mtvisible(c_tptp_member2610_mt)
   => relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_14871) ).

fof(45,axiom,
    ! [X9,X10,X11,X12] :
      ( ( isa(X9,X10)
        & relationallexists(X11,X10,X12) )
     => isa(f_relationallexistsfn(X9,X11,X10,X12),X12) ),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_26597) ).

fof(68,axiom,
    ! [X16,X17] :
      ( ( mtvisible(X16)
        & genlmt(X16,X17) )
     => mtvisible(X17) ),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',ax3_44208) ).

fof(81,conjecture,
    ? [X1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
        & tptpcol_16_31868(X1) ) ),
    file('/tmp/tmpmugjmH/sel_CSR027+4.p_1',query177) ).

fof(82,negated_conjecture,
    ~ ? [X1] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
          & tptpcol_16_31868(X1) ) ),
    inference(assume_negation,[status(cth)],[81]) ).

cnf(83,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(90,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[4]) ).

fof(137,plain,
    ! [X1] :
      ( ~ isa(X1,c_tptpcol_16_31868)
      | tptpcol_16_31868(X1) ),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(138,plain,
    ! [X2] :
      ( ~ isa(X2,c_tptpcol_16_31868)
      | tptpcol_16_31868(X2) ),
    inference(variable_rename,[status(thm)],[137]) ).

cnf(139,plain,
    ( tptpcol_16_31868(X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[138]) ).

fof(140,plain,
    ! [X9] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X9,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X9,f_relationallexistsfn(X9,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(141,plain,
    ! [X10] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X10,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X10,f_relationallexistsfn(X10,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(variable_rename,[status(thm)],[140]) ).

cnf(142,plain,
    ( tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
    | ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(split_conjunct,[status(thm)],[141]) ).

fof(143,plain,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(fof_nnf,[status(thm)],[25]) ).

cnf(144,plain,
    ( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(split_conjunct,[status(thm)],[143]) ).

fof(191,plain,
    ! [X9,X10,X11,X12] :
      ( ~ isa(X9,X10)
      | ~ relationallexists(X11,X10,X12)
      | isa(f_relationallexistsfn(X9,X11,X10,X12),X12) ),
    inference(fof_nnf,[status(thm)],[45]) ).

fof(192,plain,
    ! [X13,X14,X15,X16] :
      ( ~ isa(X13,X14)
      | ~ relationallexists(X15,X14,X16)
      | isa(f_relationallexistsfn(X13,X15,X14,X16),X16) ),
    inference(variable_rename,[status(thm)],[191]) ).

cnf(193,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[192]) ).

fof(242,plain,
    ! [X16,X17] :
      ( ~ mtvisible(X16)
      | ~ genlmt(X16,X17)
      | mtvisible(X17) ),
    inference(fof_nnf,[status(thm)],[68]) ).

fof(243,plain,
    ! [X18,X19] :
      ( ~ mtvisible(X18)
      | ~ genlmt(X18,X19)
      | mtvisible(X19) ),
    inference(variable_rename,[status(thm)],[242]) ).

cnf(244,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[243]) ).

fof(276,negated_conjecture,
    ! [X1] :
      ( mtvisible(c_tptp_spindlecollectormt)
      & ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
        | ~ tptpcol_16_31868(X1) ) ),
    inference(fof_nnf,[status(thm)],[82]) ).

fof(277,negated_conjecture,
    ! [X2] :
      ( mtvisible(c_tptp_spindlecollectormt)
      & ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X2)
        | ~ tptpcol_16_31868(X2) ) ),
    inference(variable_rename,[status(thm)],[276]) ).

cnf(278,negated_conjecture,
    ( ~ tptpcol_16_31868(X1)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(split_conjunct,[status(thm)],[277]) ).

cnf(279,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[277]) ).

cnf(284,negated_conjecture,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(spm,[status(thm)],[278,139,theory(equality)]) ).

cnf(286,plain,
    ( mtvisible(c_tptp_member2610_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(spm,[status(thm)],[244,90,theory(equality)]) ).

cnf(289,plain,
    ( mtvisible(c_tptp_member2610_mt)
    | $false ),
    inference(rw,[status(thm)],[286,279,theory(equality)]) ).

cnf(290,plain,
    mtvisible(c_tptp_member2610_mt),
    inference(cn,[status(thm)],[289,theory(equality)]) ).

cnf(328,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt)
    | ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(spm,[status(thm)],[284,142,theory(equality)]) ).

cnf(329,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt)
    | $false ),
    inference(rw,[status(thm)],[328,83,theory(equality)]) ).

cnf(330,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(cn,[status(thm)],[329,theory(equality)]) ).

cnf(331,negated_conjecture,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(spm,[status(thm)],[330,193,theory(equality)]) ).

cnf(332,negated_conjecture,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | $false ),
    inference(rw,[status(thm)],[331,83,theory(equality)]) ).

cnf(333,negated_conjecture,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(cn,[status(thm)],[332,theory(equality)]) ).

cnf(334,negated_conjecture,
    ~ mtvisible(c_tptp_member2610_mt),
    inference(csr,[status(thm)],[333,144]) ).

cnf(335,plain,
    $false,
    inference(sr,[status(thm)],[290,334,theory(equality)]) ).

cnf(336,plain,
    $false,
    335,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR027+4.p
% --creating new selector for [CSR002+3.ax]
% -running prover on /tmp/tmpmugjmH/sel_CSR027+4.p_1 with time limit 29
% -prover status Theorem
% Problem CSR027+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR027+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR027+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
% 
%------------------------------------------------------------------------------