TSTP Solution File: CSR044+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR044+3 : 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 06:18:27 EST 2010

% Result   : Theorem 1.29s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   55 (  14 unt;   0 def)
%            Number of atoms       :  113 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  104 (  46   ~;  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   :   44 (   0 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_19) ).

fof(4,axiom,
    ! [X2] :
      ( isa(X2,c_tptpcol_16_29490)
     => tptpcol_16_29490(X2) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_5730) ).

fof(5,axiom,
    ! [X3,X4,X5,X6] :
      ( ( isa(X3,X4)
        & relationallexists(X5,X4,X6) )
     => isa(f_relationallexistsfn(X3,X5,X4,X6),X6) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_2981) ).

fof(14,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_2496) ).

fof(15,axiom,
    ! [X3] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X3) )
     => tptp_9_720(X3,f_relationallexistsfn(X3,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_2495) ).

fof(28,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_4288) ).

fof(35,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_142) ).

fof(40,axiom,
    ! [X2] :
      ( executionbyfiringsquad(X2)
     => isa(X2,c_executionbyfiringsquad) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_7920) ).

fof(54,axiom,
    ! [X16,X17] :
      ( ( mtvisible(X16)
        & genlmt(X16,X17) )
     => mtvisible(X17) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',ax2_7997) ).

fof(56,conjecture,
    ? [X2] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X2)
        & tptpcol_16_29490(X2) ) ),
    file('/tmp/tmpI96QPt/sel_CSR044+3.p_1',query144) ).

fof(57,negated_conjecture,
    ~ ? [X2] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X2)
          & tptpcol_16_29490(X2) ) ),
    inference(assume_negation,[status(cth)],[56]) ).

cnf(58,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[1]) ).

fof(65,plain,
    ! [X2] :
      ( ~ isa(X2,c_tptpcol_16_29490)
      | tptpcol_16_29490(X2) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(66,plain,
    ! [X3] :
      ( ~ isa(X3,c_tptpcol_16_29490)
      | tptpcol_16_29490(X3) ),
    inference(variable_rename,[status(thm)],[65]) ).

cnf(67,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[66]) ).

fof(68,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)],[5]) ).

fof(69,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)],[68]) ).

cnf(70,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[69]) ).

fof(90,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[14]) ).

cnf(91,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[90]) ).

fof(92,plain,
    ! [X3] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X3)
      | tptp_9_720(X3,f_relationallexistsfn(X3,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(93,plain,
    ! [X4] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X4)
      | tptp_9_720(X4,f_relationallexistsfn(X4,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(variable_rename,[status(thm)],[92]) ).

cnf(94,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)],[93]) ).

cnf(123,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(141,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[35]) ).

fof(153,plain,
    ! [X2] :
      ( ~ executionbyfiringsquad(X2)
      | isa(X2,c_executionbyfiringsquad) ),
    inference(fof_nnf,[status(thm)],[40]) ).

fof(154,plain,
    ! [X3] :
      ( ~ executionbyfiringsquad(X3)
      | isa(X3,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[153]) ).

cnf(155,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[154]) ).

fof(190,plain,
    ! [X16,X17] :
      ( ~ mtvisible(X16)
      | ~ genlmt(X16,X17)
      | mtvisible(X17) ),
    inference(fof_nnf,[status(thm)],[54]) ).

fof(191,plain,
    ! [X18,X19] :
      ( ~ mtvisible(X18)
      | ~ genlmt(X18,X19)
      | mtvisible(X19) ),
    inference(variable_rename,[status(thm)],[190]) ).

cnf(192,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[191]) ).

fof(194,negated_conjecture,
    ! [X2] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X2)
        | ~ tptpcol_16_29490(X2) ) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(195,negated_conjecture,
    ! [X3] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X3)
        | ~ tptpcol_16_29490(X3) ) ),
    inference(variable_rename,[status(thm)],[194]) ).

cnf(196,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(197,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(split_conjunct,[status(thm)],[195]) ).

cnf(201,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[196,67,theory(equality)]) ).

cnf(205,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt) ),
    inference(spm,[status(thm)],[192,141,theory(equality)]) ).

cnf(207,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(spm,[status(thm)],[192,123,theory(equality)]) ).

cnf(213,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[205,197,theory(equality)]) ).

cnf(214,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[213,theory(equality)]) ).

cnf(217,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[155,58,theory(equality)]) ).

cnf(234,plain,
    ( mtvisible(c_cyclistsmt)
    | $false ),
    inference(rw,[status(thm)],[207,214,theory(equality)]) ).

cnf(235,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[234,theory(equality)]) ).

cnf(236,plain,
    ( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | $false
    | ~ executionbyfiringsquad(X1) ),
    inference(rw,[status(thm)],[94,235,theory(equality)]) ).

cnf(237,plain,
    ( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ executionbyfiringsquad(X1) ),
    inference(cn,[status(thm)],[236,theory(equality)]) ).

cnf(238,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | $false ),
    inference(rw,[status(thm)],[91,235,theory(equality)]) ).

cnf(239,plain,
    relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
    inference(cn,[status(thm)],[238,theory(equality)]) ).

cnf(245,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) ),
    inference(spm,[status(thm)],[201,237,theory(equality)]) ).

cnf(246,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)],[245,58,theory(equality)]) ).

cnf(247,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)],[246,theory(equality)]) ).

cnf(248,negated_conjecture,
    ( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(spm,[status(thm)],[247,70,theory(equality)]) ).

cnf(249,negated_conjecture,
    ( $false
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(rw,[status(thm)],[248,239,theory(equality)]) ).

cnf(250,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[249,217,theory(equality)]) ).

cnf(251,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[250,theory(equality)]) ).

cnf(252,negated_conjecture,
    $false,
    251,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR044+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmpI96QPt/sel_CSR044+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR044+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR044+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR044+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
% 
%------------------------------------------------------------------------------