TSTP Solution File: CSR027+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR027+2 : 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 06:02:30 EST 2010

% Result   : Theorem 10.05s
% Output   : CNFRefutation 10.05s
% 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(76,axiom,
    ! [X10,X11] :
      ( ( mtvisible(X10)
        & genlmt(X10,X11) )
     => mtvisible(X11) ),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',ax1_1123) ).

fof(215,axiom,
    ! [X16] :
      ( ( mtvisible(c_tptp_member2610_mt)
        & isa(X16,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
     => tptp_8_875(X16,f_relationallexistsfn(X16,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',ax1_158) ).

fof(216,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/tmp_dA--o/sel_CSR027+2.p_4',ax1_159) ).

fof(223,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',ax1_20) ).

fof(240,axiom,
    ! [X1] :
      ( isa(X1,c_tptpcol_16_31868)
     => tptpcol_16_31868(X1) ),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',ax1_791) ).

fof(429,axiom,
    ! [X16,X20,X18,X21] :
      ( ( isa(X16,X20)
        & relationallexists(X18,X20,X21) )
     => isa(f_relationallexistsfn(X16,X18,X20,X21),X21) ),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',ax1_297) ).

fof(532,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',ax1_316) ).

fof(589,conjecture,
    ? [X1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
        & tptpcol_16_31868(X1) ) ),
    file('/tmp/tmp_dA--o/sel_CSR027+2.p_4',query77) ).

fof(590,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)],[589]) ).

fof(782,plain,
    ! [X10,X11] :
      ( ~ mtvisible(X10)
      | ~ genlmt(X10,X11)
      | mtvisible(X11) ),
    inference(fof_nnf,[status(thm)],[76]) ).

fof(783,plain,
    ! [X12,X13] :
      ( ~ mtvisible(X12)
      | ~ genlmt(X12,X13)
      | mtvisible(X13) ),
    inference(variable_rename,[status(thm)],[782]) ).

cnf(784,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[783]) ).

fof(1152,plain,
    ! [X16] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X16,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X16,f_relationallexistsfn(X16,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(fof_nnf,[status(thm)],[215]) ).

fof(1153,plain,
    ! [X17] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X17,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X17,f_relationallexistsfn(X17,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(variable_rename,[status(thm)],[1152]) ).

cnf(1154,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)],[1153]) ).

fof(1155,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)],[216]) ).

cnf(1156,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)],[1155]) ).

cnf(1169,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[223]) ).

fof(1214,plain,
    ! [X1] :
      ( ~ isa(X1,c_tptpcol_16_31868)
      | tptpcol_16_31868(X1) ),
    inference(fof_nnf,[status(thm)],[240]) ).

fof(1215,plain,
    ! [X2] :
      ( ~ isa(X2,c_tptpcol_16_31868)
      | tptpcol_16_31868(X2) ),
    inference(variable_rename,[status(thm)],[1214]) ).

cnf(1216,plain,
    ( tptpcol_16_31868(X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[1215]) ).

fof(1692,plain,
    ! [X16,X20,X18,X21] :
      ( ~ isa(X16,X20)
      | ~ relationallexists(X18,X20,X21)
      | isa(f_relationallexistsfn(X16,X18,X20,X21),X21) ),
    inference(fof_nnf,[status(thm)],[429]) ).

fof(1693,plain,
    ! [X22,X23,X24,X25] :
      ( ~ isa(X22,X23)
      | ~ relationallexists(X24,X23,X25)
      | isa(f_relationallexistsfn(X22,X24,X23,X25),X25) ),
    inference(variable_rename,[status(thm)],[1692]) ).

cnf(1694,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[1693]) ).

cnf(1946,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[532]) ).

fof(2079,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)],[590]) ).

fof(2080,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)],[2079]) ).

cnf(2081,negated_conjecture,
    ( ~ tptpcol_16_31868(X1)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(split_conjunct,[status(thm)],[2080]) ).

cnf(2082,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[2080]) ).

cnf(2083,negated_conjecture,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(spm,[status(thm)],[2081,1216,theory(equality)]) ).

cnf(2105,plain,
    ( mtvisible(c_tptp_member2610_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(spm,[status(thm)],[784,1169,theory(equality)]) ).

cnf(2106,plain,
    ( mtvisible(c_tptp_member2610_mt)
    | $false ),
    inference(rw,[status(thm)],[2105,2082,theory(equality)]) ).

cnf(2107,plain,
    mtvisible(c_tptp_member2610_mt),
    inference(cn,[status(thm)],[2106,theory(equality)]) ).

cnf(3283,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)],[1154,2107,theory(equality)]) ).

cnf(3284,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)],[3283,theory(equality)]) ).

cnf(3285,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)],[1156,2107,theory(equality)]) ).

cnf(3286,plain,
    relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(cn,[status(thm)],[3285,theory(equality)]) ).

cnf(3308,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)],[2083,3284,theory(equality)]) ).

cnf(3309,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)],[3308,1946,theory(equality)]) ).

cnf(3310,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)],[3309,theory(equality)]) ).

cnf(37707,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)],[3310,1694,theory(equality)]) ).

cnf(37708,negated_conjecture,
    ( $false
    | ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(rw,[status(thm)],[37707,3286,theory(equality)]) ).

cnf(37709,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[37708,1946,theory(equality)]) ).

cnf(37710,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[37709,theory(equality)]) ).

cnf(37711,negated_conjecture,
    $false,
    37710,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR027+2.p
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_dA--o/sel_CSR027+2.p_1 with time limit 29
% -prover status CounterSatisfiable
% -running prover on /tmp/tmp_dA--o/sel_CSR027+2.p_2 with time limit 89
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_dA--o/sel_CSR027+2.p_3 with time limit 119
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_dA--o/sel_CSR027+2.p_4 with time limit 149
% -prover status Theorem
% Problem CSR027+2.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR027+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR027+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
% 
%------------------------------------------------------------------------------