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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR044+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 06:18:22 EST 2010

% Result   : Theorem 0.77s
% Output   : CNFRefutation 0.77s
% 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   :   41 (   0 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(8,axiom,
    ! [X5] :
      ( executionbyfiringsquad(X5)
     => isa(X5,c_executionbyfiringsquad) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_919) ).

fof(10,axiom,
    ! [X9,X10,X11,X12] :
      ( ( isa(X9,X10)
        & relationallexists(X11,X10,X12) )
     => isa(f_relationallexistsfn(X9,X11,X10,X12),X12) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_297) ).

fof(24,axiom,
    ! [X5] :
      ( isa(X5,c_tptpcol_16_29490)
     => tptpcol_16_29490(X5) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_783) ).

fof(36,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_243) ).

fof(40,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_165) ).

fof(41,axiom,
    ! [X9] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X9) )
     => tptp_9_720(X9,f_relationallexistsfn(X9,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_164) ).

fof(59,axiom,
    ! [X17,X18] :
      ( ( mtvisible(X17)
        & genlmt(X17,X18) )
     => mtvisible(X18) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_1123) ).

fof(76,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_254) ).

fof(79,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',ax1_94) ).

fof(80,conjecture,
    ? [X5] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X5)
        & tptpcol_16_29490(X5) ) ),
    file('/tmp/tmpuoVAK1/sel_CSR044+2.p_4',query94) ).

fof(81,negated_conjecture,
    ~ ? [X5] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X5)
          & tptpcol_16_29490(X5) ) ),
    inference(assume_negation,[status(cth)],[80]) ).

fof(99,plain,
    ! [X5] :
      ( ~ executionbyfiringsquad(X5)
      | isa(X5,c_executionbyfiringsquad) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(100,plain,
    ! [X6] :
      ( ~ executionbyfiringsquad(X6)
      | isa(X6,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[99]) ).

cnf(101,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[100]) ).

fof(105,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)],[10]) ).

fof(106,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)],[105]) ).

cnf(107,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[106]) ).

fof(145,plain,
    ! [X5] :
      ( ~ isa(X5,c_tptpcol_16_29490)
      | tptpcol_16_29490(X5) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(146,plain,
    ! [X6] :
      ( ~ isa(X6,c_tptpcol_16_29490)
      | tptpcol_16_29490(X6) ),
    inference(variable_rename,[status(thm)],[145]) ).

cnf(147,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[146]) ).

cnf(176,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[36]) ).

fof(184,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[40]) ).

cnf(185,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[184]) ).

fof(186,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(fof_nnf,[status(thm)],[41]) ).

fof(187,plain,
    ! [X10] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X10)
      | tptp_9_720(X10,f_relationallexistsfn(X10,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(variable_rename,[status(thm)],[186]) ).

cnf(188,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)],[187]) ).

fof(236,plain,
    ! [X17,X18] :
      ( ~ mtvisible(X17)
      | ~ genlmt(X17,X18)
      | mtvisible(X18) ),
    inference(fof_nnf,[status(thm)],[59]) ).

fof(237,plain,
    ! [X19,X20] :
      ( ~ mtvisible(X19)
      | ~ genlmt(X19,X20)
      | mtvisible(X20) ),
    inference(variable_rename,[status(thm)],[236]) ).

cnf(238,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[237]) ).

cnf(275,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[76]) ).

cnf(282,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[79]) ).

fof(283,negated_conjecture,
    ! [X5] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X5)
        | ~ tptpcol_16_29490(X5) ) ),
    inference(fof_nnf,[status(thm)],[81]) ).

fof(284,negated_conjecture,
    ! [X6] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X6)
        | ~ tptpcol_16_29490(X6) ) ),
    inference(variable_rename,[status(thm)],[283]) ).

cnf(285,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[284]) ).

cnf(286,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(split_conjunct,[status(thm)],[284]) ).

cnf(288,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[101,282,theory(equality)]) ).

cnf(289,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt) ),
    inference(spm,[status(thm)],[238,176,theory(equality)]) ).

cnf(290,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(spm,[status(thm)],[238,275,theory(equality)]) ).

cnf(291,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[289,286,theory(equality)]) ).

cnf(292,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[291,theory(equality)]) ).

cnf(306,negated_conjecture,
    ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ mtvisible(c_cyclistsmt)
    | ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
    inference(spm,[status(thm)],[285,188,theory(equality)]) ).

cnf(308,negated_conjecture,
    ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ mtvisible(c_cyclistsmt)
    | $false ),
    inference(rw,[status(thm)],[306,282,theory(equality)]) ).

cnf(309,negated_conjecture,
    ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cn,[status(thm)],[308,theory(equality)]) ).

cnf(318,negated_conjecture,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[309,147,theory(equality)]) ).

cnf(319,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)],[318,107,theory(equality)]) ).

cnf(320,negated_conjecture,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(csr,[status(thm)],[319,185]) ).

cnf(322,plain,
    ( mtvisible(c_cyclistsmt)
    | $false ),
    inference(rw,[status(thm)],[290,292,theory(equality)]) ).

cnf(323,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[322,theory(equality)]) ).

cnf(324,negated_conjecture,
    ( $false
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(rw,[status(thm)],[320,323,theory(equality)]) ).

cnf(325,negated_conjecture,
    ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(cn,[status(thm)],[324,theory(equality)]) ).

cnf(348,plain,
    $false,
    inference(sr,[status(thm)],[288,325,theory(equality)]) ).

cnf(349,plain,
    $false,
    348,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR044+2.p
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpuoVAK1/sel_CSR044+2.p_1 with time limit 29
% -prover status CounterSatisfiable
% -running prover on /tmp/tmpuoVAK1/sel_CSR044+2.p_2 with time limit 89
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpuoVAK1/sel_CSR044+2.p_3 with time limit 119
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpuoVAK1/sel_CSR044+2.p_4 with time limit 149
% -prover status Theorem
% Problem CSR044+2.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR044+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR044+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
% 
%------------------------------------------------------------------------------