TSTP Solution File: CSR044+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR044+1 : 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 06:18:18 EST 2010

% Result   : Theorem 0.24s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   55 (  16 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  105 (  48   ~;  42   |;   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   :   43 (   0 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,conjecture,
    ? [X5] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X5)
        & tptpcol_16_29490(X5) ) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',query44) ).

fof(29,axiom,
    ! [X11,X12,X13,X14] :
      ( ( isa(X11,X12)
        & relationallexists(X13,X12,X14) )
     => isa(f_relationallexistsfn(X11,X13,X12,X14),X14) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just1) ).

fof(34,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just9) ).

fof(35,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just8) ).

fof(39,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just12) ).

fof(40,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just11) ).

fof(41,axiom,
    ! [X11] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X11) )
     => tptp_9_720(X11,f_relationallexistsfn(X11,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just10) ).

fof(55,axiom,
    ! [X5] :
      ( isa(X5,c_tptpcol_16_29490)
     => tptpcol_16_29490(X5) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just31) ).

fof(60,axiom,
    ! [X5] :
      ( executionbyfiringsquad(X5)
     => isa(X5,c_executionbyfiringsquad) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just34) ).

fof(63,axiom,
    ! [X20,X21] :
      ( ( mtvisible(X20)
        & genlmt(X20,X21) )
     => mtvisible(X21) ),
    file('/tmp/tmpahCSdl/sel_CSR044+1.p_1',just48) ).

fof(66,negated_conjecture,
    ~ ? [X5] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X5)
          & tptpcol_16_29490(X5) ) ),
    inference(assume_negation,[status(cth)],[7]) ).

fof(81,negated_conjecture,
    ! [X5] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X5)
        | ~ tptpcol_16_29490(X5) ) ),
    inference(fof_nnf,[status(thm)],[66]) ).

fof(82,negated_conjecture,
    ! [X6] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X6)
        | ~ tptpcol_16_29490(X6) ) ),
    inference(variable_rename,[status(thm)],[81]) ).

cnf(83,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[82]) ).

cnf(84,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(split_conjunct,[status(thm)],[82]) ).

fof(141,plain,
    ! [X11,X12,X13,X14] :
      ( ~ isa(X11,X12)
      | ~ relationallexists(X13,X12,X14)
      | isa(f_relationallexistsfn(X11,X13,X12,X14),X14) ),
    inference(fof_nnf,[status(thm)],[29]) ).

fof(142,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)],[141]) ).

cnf(143,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[142]) ).

cnf(148,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(149,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[35]) ).

cnf(159,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[39]) ).

fof(160,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[40]) ).

cnf(161,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[160]) ).

fof(162,plain,
    ! [X11] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X11)
      | tptp_9_720(X11,f_relationallexistsfn(X11,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(fof_nnf,[status(thm)],[41]) ).

fof(163,plain,
    ! [X12] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X12)
      | tptp_9_720(X12,f_relationallexistsfn(X12,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(variable_rename,[status(thm)],[162]) ).

cnf(164,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)],[163]) ).

fof(201,plain,
    ! [X5] :
      ( ~ isa(X5,c_tptpcol_16_29490)
      | tptpcol_16_29490(X5) ),
    inference(fof_nnf,[status(thm)],[55]) ).

fof(202,plain,
    ! [X6] :
      ( ~ isa(X6,c_tptpcol_16_29490)
      | tptpcol_16_29490(X6) ),
    inference(variable_rename,[status(thm)],[201]) ).

cnf(203,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[202]) ).

fof(216,plain,
    ! [X5] :
      ( ~ executionbyfiringsquad(X5)
      | isa(X5,c_executionbyfiringsquad) ),
    inference(fof_nnf,[status(thm)],[60]) ).

fof(217,plain,
    ! [X6] :
      ( ~ executionbyfiringsquad(X6)
      | isa(X6,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[216]) ).

cnf(218,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[217]) ).

fof(225,plain,
    ! [X20,X21] :
      ( ~ mtvisible(X20)
      | ~ genlmt(X20,X21)
      | mtvisible(X21) ),
    inference(fof_nnf,[status(thm)],[63]) ).

fof(226,plain,
    ! [X22,X23] :
      ( ~ mtvisible(X22)
      | ~ genlmt(X22,X23)
      | mtvisible(X23) ),
    inference(variable_rename,[status(thm)],[225]) ).

cnf(227,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[226]) ).

cnf(235,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[218,159,theory(equality)]) ).

cnf(236,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[83,203,theory(equality)]) ).

cnf(238,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt) ),
    inference(spm,[status(thm)],[227,148,theory(equality)]) ).

cnf(243,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(spm,[status(thm)],[227,149,theory(equality)]) ).

cnf(244,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[238,84,theory(equality)]) ).

cnf(245,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[244,theory(equality)]) ).

cnf(278,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)],[236,164,theory(equality)]) ).

cnf(279,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)],[278,159,theory(equality)]) ).

cnf(280,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)],[279,theory(equality)]) ).

cnf(288,plain,
    ( mtvisible(c_cyclistsmt)
    | $false ),
    inference(rw,[status(thm)],[243,245,theory(equality)]) ).

cnf(289,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[288,theory(equality)]) ).

cnf(292,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | $false ),
    inference(rw,[status(thm)],[280,289,theory(equality)]) ).

cnf(293,negated_conjecture,
    ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
    inference(cn,[status(thm)],[292,theory(equality)]) ).

cnf(296,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | $false ),
    inference(rw,[status(thm)],[161,289,theory(equality)]) ).

cnf(297,plain,
    relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
    inference(cn,[status(thm)],[296,theory(equality)]) ).

cnf(310,plain,
    ( isa(f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | ~ isa(X1,c_executionbyfiringsquad) ),
    inference(spm,[status(thm)],[143,297,theory(equality)]) ).

cnf(453,negated_conjecture,
    ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[293,310,theory(equality)]) ).

cnf(456,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[453,235,theory(equality)]) ).

cnf(457,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[456,theory(equality)]) ).

cnf(458,negated_conjecture,
    $false,
    457,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR044+1.p
% --creating new selector for [CSR002+0.ax]
% -running prover on /tmp/tmpahCSdl/sel_CSR044+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR044+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR044+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR044+1.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
% 
%------------------------------------------------------------------------------