TSTP Solution File: GEO147+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO147+1 : TPTP v5.0.0. Released v2.4.0.
% 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 08:36:40 EST 2010

% Result   : Theorem 0.18s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (  33   ~;  25   |;  13   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (   4 sgn  29   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X2,X4,X3] :
      ( connect(X2,X4,X3)
    <=> once(at_the_same_time(at(X2,X3),at(X4,X3))) ),
    file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',connect_defn) ).

fof(7,axiom,
    ! [X1,X10] :
      ( once(at_the_same_time(X1,X10))
     => ( once(X1)
        & once(X10) ) ),
    file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',conjunction_at_the_same_time) ).

fof(10,axiom,
    ! [X2,X3] :
      ( once(at(X2,X3))
    <=> incident_o(X3,trajectory_of(X2)) ),
    file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',at_on_trajectory) ).

fof(12,conjecture,
    ! [X3,X2,X4] :
      ( connect(X2,X4,X3)
     => ( incident_o(X3,trajectory_of(X2))
        & incident_o(X3,trajectory_of(X4)) ) ),
    file('/tmp/tmpQ5IEVT/sel_GEO147+1.p_1',t13) ).

fof(13,negated_conjecture,
    ~ ! [X3,X2,X4] :
        ( connect(X2,X4,X3)
       => ( incident_o(X3,trajectory_of(X2))
          & incident_o(X3,trajectory_of(X4)) ) ),
    inference(assume_negation,[status(cth)],[12]) ).

fof(22,plain,
    ! [X2,X4,X3] :
      ( ( ~ connect(X2,X4,X3)
        | once(at_the_same_time(at(X2,X3),at(X4,X3))) )
      & ( ~ once(at_the_same_time(at(X2,X3),at(X4,X3)))
        | connect(X2,X4,X3) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(23,plain,
    ! [X5,X6,X7] :
      ( ( ~ connect(X5,X6,X7)
        | once(at_the_same_time(at(X5,X7),at(X6,X7))) )
      & ( ~ once(at_the_same_time(at(X5,X7),at(X6,X7)))
        | connect(X5,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[22]) ).

cnf(25,plain,
    ( once(at_the_same_time(at(X1,X2),at(X3,X2)))
    | ~ connect(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(36,plain,
    ! [X1,X10] :
      ( ~ once(at_the_same_time(X1,X10))
      | ( once(X1)
        & once(X10) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(37,plain,
    ! [X11,X12] :
      ( ~ once(at_the_same_time(X11,X12))
      | ( once(X11)
        & once(X12) ) ),
    inference(variable_rename,[status(thm)],[36]) ).

fof(38,plain,
    ! [X11,X12] :
      ( ( once(X11)
        | ~ once(at_the_same_time(X11,X12)) )
      & ( once(X12)
        | ~ once(at_the_same_time(X11,X12)) ) ),
    inference(distribute,[status(thm)],[37]) ).

cnf(39,plain,
    ( once(X2)
    | ~ once(at_the_same_time(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[38]) ).

cnf(40,plain,
    ( once(X1)
    | ~ once(at_the_same_time(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[38]) ).

fof(51,plain,
    ! [X2,X3] :
      ( ( ~ once(at(X2,X3))
        | incident_o(X3,trajectory_of(X2)) )
      & ( ~ incident_o(X3,trajectory_of(X2))
        | once(at(X2,X3)) ) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(52,plain,
    ! [X4,X5] :
      ( ( ~ once(at(X4,X5))
        | incident_o(X5,trajectory_of(X4)) )
      & ( ~ incident_o(X5,trajectory_of(X4))
        | once(at(X4,X5)) ) ),
    inference(variable_rename,[status(thm)],[51]) ).

cnf(54,plain,
    ( incident_o(X1,trajectory_of(X2))
    | ~ once(at(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[52]) ).

fof(60,negated_conjecture,
    ? [X3,X2,X4] :
      ( connect(X2,X4,X3)
      & ( ~ incident_o(X3,trajectory_of(X2))
        | ~ incident_o(X3,trajectory_of(X4)) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(61,negated_conjecture,
    ? [X5,X6,X7] :
      ( connect(X6,X7,X5)
      & ( ~ incident_o(X5,trajectory_of(X6))
        | ~ incident_o(X5,trajectory_of(X7)) ) ),
    inference(variable_rename,[status(thm)],[60]) ).

fof(62,negated_conjecture,
    ( connect(esk6_0,esk7_0,esk5_0)
    & ( ~ incident_o(esk5_0,trajectory_of(esk6_0))
      | ~ incident_o(esk5_0,trajectory_of(esk7_0)) ) ),
    inference(skolemize,[status(esa)],[61]) ).

cnf(63,negated_conjecture,
    ( ~ incident_o(esk5_0,trajectory_of(esk7_0))
    | ~ incident_o(esk5_0,trajectory_of(esk6_0)) ),
    inference(split_conjunct,[status(thm)],[62]) ).

cnf(64,negated_conjecture,
    connect(esk6_0,esk7_0,esk5_0),
    inference(split_conjunct,[status(thm)],[62]) ).

cnf(67,negated_conjecture,
    ( ~ incident_o(esk5_0,trajectory_of(esk7_0))
    | ~ once(at(esk6_0,esk5_0)) ),
    inference(spm,[status(thm)],[63,54,theory(equality)]) ).

cnf(73,plain,
    ( once(at(X1,X2))
    | ~ connect(X3,X1,X2) ),
    inference(spm,[status(thm)],[39,25,theory(equality)]) ).

cnf(74,plain,
    ( once(at(X1,X2))
    | ~ connect(X1,X3,X2) ),
    inference(spm,[status(thm)],[40,25,theory(equality)]) ).

cnf(94,negated_conjecture,
    ( ~ once(at(esk6_0,esk5_0))
    | ~ once(at(esk7_0,esk5_0)) ),
    inference(spm,[status(thm)],[67,54,theory(equality)]) ).

cnf(113,negated_conjecture,
    once(at(esk7_0,esk5_0)),
    inference(spm,[status(thm)],[73,64,theory(equality)]) ).

cnf(114,negated_conjecture,
    once(at(esk6_0,esk5_0)),
    inference(spm,[status(thm)],[74,64,theory(equality)]) ).

cnf(121,negated_conjecture,
    ( ~ once(at(esk6_0,esk5_0))
    | $false ),
    inference(rw,[status(thm)],[94,113,theory(equality)]) ).

cnf(122,negated_conjecture,
    ~ once(at(esk6_0,esk5_0)),
    inference(cn,[status(thm)],[121,theory(equality)]) ).

cnf(131,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[122,114,theory(equality)]) ).

cnf(132,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[131,theory(equality)]) ).

cnf(133,negated_conjecture,
    $false,
    132,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO147+1.p
% --creating new selector for [GEO004+3.ax, GEO004+0.ax, GEO004+1.ax, GEO004+2.ax]
% -running prover on /tmp/tmpQ5IEVT/sel_GEO147+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO147+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO147+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO147+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
% 
%------------------------------------------------------------------------------