TSTP Solution File: CSR027+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR027+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.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 06:02:39 EST 2010

% Result   : Theorem 1.39s
% Output   : CNFRefutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   45 (  10 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   94 (  42   ~;  38   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 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   :   40 (   0 sgn  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',ax2_1377) ).

fof(6,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/tmp4fmciP/sel_CSR027+3.p_1',ax2_1689) ).

fof(7,axiom,
    ! [X1] :
      ( isa(X1,c_tptpcol_16_31868)
     => tptpcol_16_31868(X1) ),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',ax2_7347) ).

fof(8,axiom,
    ! [X3,X4,X5,X6] :
      ( ( isa(X3,X4)
        & relationallexists(X5,X4,X6) )
     => isa(f_relationallexistsfn(X3,X5,X4,X6),X6) ),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',ax2_2981) ).

fof(18,axiom,
    ! [X3] :
      ( ( mtvisible(c_tptp_member2610_mt)
        & isa(X3,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
     => tptp_8_875(X3,f_relationallexistsfn(X3,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',ax2_406) ).

fof(19,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',ax2_1808) ).

fof(55,axiom,
    ! [X16,X17] :
      ( ( mtvisible(X16)
        & genlmt(X16,X17) )
     => mtvisible(X17) ),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',ax2_7997) ).

fof(56,conjecture,
    ? [X1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
        & tptpcol_16_31868(X1) ) ),
    file('/tmp/tmp4fmciP/sel_CSR027+3.p_1',query127) ).

fof(57,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)],[56]) ).

cnf(61,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[2]) ).

fof(69,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)],[6]) ).

cnf(70,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)],[69]) ).

fof(71,plain,
    ! [X1] :
      ( ~ isa(X1,c_tptpcol_16_31868)
      | tptpcol_16_31868(X1) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(72,plain,
    ! [X2] :
      ( ~ isa(X2,c_tptpcol_16_31868)
      | tptpcol_16_31868(X2) ),
    inference(variable_rename,[status(thm)],[71]) ).

cnf(73,plain,
    ( tptpcol_16_31868(X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[72]) ).

fof(74,plain,
    ! [X3,X4,X5,X6] :
      ( ~ isa(X3,X4)
      | ~ relationallexists(X5,X4,X6)
      | isa(f_relationallexistsfn(X3,X5,X4,X6),X6) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(75,plain,
    ! [X7,X8,X9,X10] :
      ( ~ isa(X7,X8)
      | ~ relationallexists(X9,X8,X10)
      | isa(f_relationallexistsfn(X7,X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[74]) ).

cnf(76,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[75]) ).

fof(101,plain,
    ! [X3] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X3,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X3,f_relationallexistsfn(X3,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(102,plain,
    ! [X4] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X4,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X4,f_relationallexistsfn(X4,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(variable_rename,[status(thm)],[101]) ).

cnf(103,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)],[102]) ).

cnf(104,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(199,plain,
    ! [X16,X17] :
      ( ~ mtvisible(X16)
      | ~ genlmt(X16,X17)
      | mtvisible(X17) ),
    inference(fof_nnf,[status(thm)],[55]) ).

fof(200,plain,
    ! [X18,X19] :
      ( ~ mtvisible(X18)
      | ~ genlmt(X18,X19)
      | mtvisible(X19) ),
    inference(variable_rename,[status(thm)],[199]) ).

cnf(201,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[200]) ).

fof(202,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)],[57]) ).

fof(203,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)],[202]) ).

cnf(204,negated_conjecture,
    ( ~ tptpcol_16_31868(X1)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(split_conjunct,[status(thm)],[203]) ).

cnf(205,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[203]) ).

cnf(208,negated_conjecture,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(spm,[status(thm)],[204,73,theory(equality)]) ).

cnf(210,plain,
    ( mtvisible(c_tptp_member2610_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(spm,[status(thm)],[201,104,theory(equality)]) ).

cnf(211,plain,
    ( mtvisible(c_tptp_member2610_mt)
    | $false ),
    inference(rw,[status(thm)],[210,205,theory(equality)]) ).

cnf(212,plain,
    mtvisible(c_tptp_member2610_mt),
    inference(cn,[status(thm)],[211,theory(equality)]) ).

cnf(237,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))
    | $false
    | ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(rw,[status(thm)],[103,212,theory(equality)]) ).

cnf(238,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)) ),
    inference(cn,[status(thm)],[237,theory(equality)]) ).

cnf(239,plain,
    ( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | $false ),
    inference(rw,[status(thm)],[70,212,theory(equality)]) ).

cnf(240,plain,
    relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(cn,[status(thm)],[239,theory(equality)]) ).

cnf(248,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)
    | ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(spm,[status(thm)],[208,238,theory(equality)]) ).

cnf(249,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)
    | $false ),
    inference(rw,[status(thm)],[248,61,theory(equality)]) ).

cnf(250,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),
    inference(cn,[status(thm)],[249,theory(equality)]) ).

cnf(251,negated_conjecture,
    ( ~ 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)],[250,76,theory(equality)]) ).

cnf(252,negated_conjecture,
    ( $false
    | ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(rw,[status(thm)],[251,240,theory(equality)]) ).

cnf(253,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[252,61,theory(equality)]) ).

cnf(254,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[253,theory(equality)]) ).

cnf(255,negated_conjecture,
    $false,
    254,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR027+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmp4fmciP/sel_CSR027+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR027+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR027+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR027+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
% 
%------------------------------------------------------------------------------