TSTP Solution File: SWV106+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV106+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 : Sun Dec 26 12:06:28 EST 2010

% Result   : Theorem 0.18s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   88 (  21 equ)
%            Maximal formula atoms :   26 (   8 avg)
%            Number of connectives :   81 (   4   ~;   0   |;  52   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   27 (   0 sgn  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(26,axiom,
    true,
    file('/tmp/tmpgMETls/sel_SWV106+1.p_1',ttrue) ).

fof(47,conjecture,
    ( ( ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,minus(m_measvars,n1)) )
         => a_select2(rho_defuse,X4) = use )
      & ! [X5] :
          ( ( leq(n0,X5)
            & leq(X5,minus(n_statevars,n1)) )
         => a_select2(sigma_defuse,X5) = use )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,n2)
            & leq(X7,minus(n_steps,n1)) )
         => a_select3(u_defuse,X6,X7) = use )
      & ! [X8] :
          ( ( leq(n0,X8)
            & leq(X8,minus(n_statevars,n1)) )
         => a_select2(xinit_defuse,X8) = use )
      & ! [X9] :
          ( ( leq(n0,X9)
            & leq(X9,minus(n_statevars,n1)) )
         => a_select2(xinit_mean_defuse,X9) = use )
      & ! [X10] :
          ( ( leq(n0,X10)
            & leq(X10,minus(n_statevars,n1)) )
         => a_select2(xinit_noise_defuse,X10) = use )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,minus(m_measvars,n1))
            & leq(X12,minus(n_steps,n1)) )
         => a_select3(z_defuse,X11,X12) = use ) )
   => true ),
    file('/tmp/tmpgMETls/sel_SWV106+1.p_1',quaternion_ds1_inuse_0018) ).

fof(64,negated_conjecture,
    ~ ( ( ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,minus(m_measvars,n1)) )
           => a_select2(rho_defuse,X4) = use )
        & ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,minus(n_statevars,n1)) )
           => a_select2(sigma_defuse,X5) = use )
        & ! [X6,X7] :
            ( ( leq(n0,X6)
              & leq(n0,X7)
              & leq(X6,n2)
              & leq(X7,minus(n_steps,n1)) )
           => a_select3(u_defuse,X6,X7) = use )
        & ! [X8] :
            ( ( leq(n0,X8)
              & leq(X8,minus(n_statevars,n1)) )
           => a_select2(xinit_defuse,X8) = use )
        & ! [X9] :
            ( ( leq(n0,X9)
              & leq(X9,minus(n_statevars,n1)) )
           => a_select2(xinit_mean_defuse,X9) = use )
        & ! [X10] :
            ( ( leq(n0,X10)
              & leq(X10,minus(n_statevars,n1)) )
           => a_select2(xinit_noise_defuse,X10) = use )
        & ! [X11,X12] :
            ( ( leq(n0,X11)
              & leq(n0,X12)
              & leq(X11,minus(m_measvars,n1))
              & leq(X12,minus(n_steps,n1)) )
           => a_select3(z_defuse,X11,X12) = use ) )
     => true ),
    inference(assume_negation,[status(cth)],[47]) ).

fof(66,plain,
    ( epred1_0
   => ( ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,minus(m_measvars,n1)) )
         => a_select2(rho_defuse,X4) = use )
      & ! [X5] :
          ( ( leq(n0,X5)
            & leq(X5,minus(n_statevars,n1)) )
         => a_select2(sigma_defuse,X5) = use )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,n2)
            & leq(X7,minus(n_steps,n1)) )
         => a_select3(u_defuse,X6,X7) = use )
      & ! [X8] :
          ( ( leq(n0,X8)
            & leq(X8,minus(n_statevars,n1)) )
         => a_select2(xinit_defuse,X8) = use )
      & ! [X9] :
          ( ( leq(n0,X9)
            & leq(X9,minus(n_statevars,n1)) )
         => a_select2(xinit_mean_defuse,X9) = use )
      & ! [X10] :
          ( ( leq(n0,X10)
            & leq(X10,minus(n_statevars,n1)) )
         => a_select2(xinit_noise_defuse,X10) = use )
      & ! [X11,X12] :
          ( ( leq(n0,X11)
            & leq(n0,X12)
            & leq(X11,minus(m_measvars,n1))
            & leq(X12,minus(n_steps,n1)) )
         => a_select3(z_defuse,X11,X12) = use ) ) ),
    introduced(definition) ).

fof(67,negated_conjecture,
    ~ ( epred1_0
     => true ),
    inference(apply_def,[status(esa)],[64,66,theory(equality)]) ).

cnf(127,plain,
    true,
    inference(split_conjunct,[status(thm)],[26]) ).

fof(156,negated_conjecture,
    ( epred1_0
    & ~ true ),
    inference(fof_nnf,[status(thm)],[67]) ).

cnf(157,negated_conjecture,
    ~ true,
    inference(split_conjunct,[status(thm)],[156]) ).

cnf(224,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[157,127,theory(equality)]) ).

cnf(225,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[224,theory(equality)]) ).

cnf(226,negated_conjecture,
    $false,
    225,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV106+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpgMETls/sel_SWV106+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV106+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV106+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV106+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
% 
%------------------------------------------------------------------------------