TSTP Solution File: CSR044+4 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR044+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 06:18:35 EST 2010

% Result   : Theorem 6.96s
% Output   : CNFRefutation 6.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (  13 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  109 (  51   ~;  43   |;   7   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   42 (   0 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ! [X8] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X8) )
     => tptp_9_720(X8,f_relationallexistsfn(X8,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_25332) ).

fof(20,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_13654) ).

fof(26,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_51) ).

fof(33,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_86) ).

fof(37,axiom,
    ! [X7] :
      ( executionbyfiringsquad(X7)
     => isa(X7,c_executionbyfiringsquad) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_44118) ).

fof(42,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_25333) ).

fof(43,axiom,
    ! [X8,X12,X13,X14] :
      ( ( isa(X8,X12)
        & relationallexists(X13,X12,X14) )
     => isa(f_relationallexistsfn(X8,X13,X12,X14),X14) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_26597) ).

fof(68,axiom,
    ! [X16,X17] :
      ( ( mtvisible(X16)
        & genlmt(X16,X17) )
     => mtvisible(X17) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_44208) ).

fof(73,axiom,
    ! [X7] :
      ( isa(X7,c_tptpcol_16_29490)
     => tptpcol_16_29490(X7) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',ax3_35879) ).

fof(83,conjecture,
    ? [X7] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X7)
        & tptpcol_16_29490(X7) ) ),
    file('/tmp/tmphUWMnN/sel_CSR044+4.p_1',query194) ).

fof(84,negated_conjecture,
    ~ ? [X7] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X7)
          & tptpcol_16_29490(X7) ) ),
    inference(assume_negation,[status(cth)],[83]) ).

fof(107,plain,
    ! [X8] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X8)
      | tptp_9_720(X8,f_relationallexistsfn(X8,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(108,plain,
    ! [X9] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X9)
      | tptp_9_720(X9,f_relationallexistsfn(X9,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(variable_rename,[status(thm)],[107]) ).

cnf(109,plain,
    ( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ executionbyfiringsquad(X1)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[108]) ).

cnf(128,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[20]) ).

cnf(141,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[26]) ).

cnf(155,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(161,plain,
    ! [X7] :
      ( ~ executionbyfiringsquad(X7)
      | isa(X7,c_executionbyfiringsquad) ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(162,plain,
    ! [X8] :
      ( ~ executionbyfiringsquad(X8)
      | isa(X8,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[161]) ).

cnf(163,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[162]) ).

fof(173,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[42]) ).

cnf(174,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[173]) ).

fof(175,plain,
    ! [X8,X12,X13,X14] :
      ( ~ isa(X8,X12)
      | ~ relationallexists(X13,X12,X14)
      | isa(f_relationallexistsfn(X8,X13,X12,X14),X14) ),
    inference(fof_nnf,[status(thm)],[43]) ).

fof(176,plain,
    ! [X15,X16,X17,X18] :
      ( ~ isa(X15,X16)
      | ~ relationallexists(X17,X16,X18)
      | isa(f_relationallexistsfn(X15,X17,X16,X18),X18) ),
    inference(variable_rename,[status(thm)],[175]) ).

cnf(177,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[176]) ).

fof(238,plain,
    ! [X16,X17] :
      ( ~ mtvisible(X16)
      | ~ genlmt(X16,X17)
      | mtvisible(X17) ),
    inference(fof_nnf,[status(thm)],[68]) ).

fof(239,plain,
    ! [X18,X19] :
      ( ~ mtvisible(X18)
      | ~ genlmt(X18,X19)
      | mtvisible(X19) ),
    inference(variable_rename,[status(thm)],[238]) ).

cnf(240,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[239]) ).

fof(251,plain,
    ! [X7] :
      ( ~ isa(X7,c_tptpcol_16_29490)
      | tptpcol_16_29490(X7) ),
    inference(fof_nnf,[status(thm)],[73]) ).

fof(252,plain,
    ! [X8] :
      ( ~ isa(X8,c_tptpcol_16_29490)
      | tptpcol_16_29490(X8) ),
    inference(variable_rename,[status(thm)],[251]) ).

cnf(253,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[252]) ).

fof(278,negated_conjecture,
    ! [X7] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X7)
        | ~ tptpcol_16_29490(X7) ) ),
    inference(fof_nnf,[status(thm)],[84]) ).

fof(279,negated_conjecture,
    ! [X8] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X8)
        | ~ tptpcol_16_29490(X8) ) ),
    inference(variable_rename,[status(thm)],[278]) ).

cnf(280,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[279]) ).

cnf(281,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(split_conjunct,[status(thm)],[279]) ).

cnf(287,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[280,253,theory(equality)]) ).

cnf(289,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[163,141,theory(equality)]) ).

cnf(292,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt) ),
    inference(spm,[status(thm)],[240,128,theory(equality)]) ).

cnf(296,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(spm,[status(thm)],[240,155,theory(equality)]) ).

cnf(301,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[292,281,theory(equality)]) ).

cnf(302,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[301,theory(equality)]) ).

cnf(330,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(spm,[status(thm)],[287,109,theory(equality)]) ).

cnf(331,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | $false
    | ~ mtvisible(c_cyclistsmt) ),
    inference(rw,[status(thm)],[330,141,theory(equality)]) ).

cnf(332,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cn,[status(thm)],[331,theory(equality)]) ).

cnf(333,negated_conjecture,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(spm,[status(thm)],[332,177,theory(equality)]) ).

cnf(334,negated_conjecture,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(csr,[status(thm)],[333,174]) ).

cnf(335,plain,
    ( mtvisible(c_cyclistsmt)
    | $false ),
    inference(rw,[status(thm)],[296,302,theory(equality)]) ).

cnf(336,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[335,theory(equality)]) ).

cnf(337,negated_conjecture,
    ( $false
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(rw,[status(thm)],[334,336,theory(equality)]) ).

cnf(338,negated_conjecture,
    ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(cn,[status(thm)],[337,theory(equality)]) ).

cnf(351,plain,
    $false,
    inference(sr,[status(thm)],[289,338,theory(equality)]) ).

cnf(352,plain,
    $false,
    351,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR044+4.p
% --creating new selector for [CSR002+3.ax]
% -running prover on /tmp/tmphUWMnN/sel_CSR044+4.p_1 with time limit 29
% -prover status Theorem
% Problem CSR044+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR044+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR044+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
% 
%------------------------------------------------------------------------------