TSTP Solution File: SYN393+1.003 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN393+1.003 : TPTP v5.0.0. Released v2.0.0.
% 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 : Sun Dec 26 13:19:22 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   28 (   5 unt;   0 def)
%            Number of atoms       :  325 (   0 equ)
%            Maximal formula atoms :  192 (  11 avg)
%            Number of connectives :  445 ( 148   ~; 243   |;  44   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ( ( ( p1
      <=> p2 )
    <=> p3 )
  <=> ( p1
    <=> ( p2
      <=> p3 ) ) ),
    file('/tmp/tmpT4qlkX/sel_SYN393+1.003.p_1',pel12) ).

fof(2,negated_conjecture,
    ~ ( ( ( p1
        <=> p2 )
      <=> p3 )
    <=> ( p1
      <=> ( p2
        <=> p3 ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ( ( ( ( ( ( ~ p1
              | ~ p2 )
            & ( p1
              | p2 ) )
          | ~ p3 )
        & ( ( ( ~ p1
              | p2 )
            & ( ~ p2
              | p1 ) )
          | p3 ) )
      | ( ( ~ p1
          | ( ( ~ p2
              | ~ p3 )
            & ( p2
              | p3 ) ) )
        & ( p1
          | ( ( ~ p2
              | p3 )
            & ( ~ p3
              | p2 ) ) ) ) )
    & ( ( ( ( ( ~ p1
              | ~ p2 )
            & ( p1
              | p2 ) )
          | p3 )
        & ( ~ p3
          | ( ( ~ p1
              | p2 )
            & ( ~ p2
              | p1 ) ) ) )
      | ( ( ~ p1
          | ( ( ~ p2
              | p3 )
            & ( ~ p3
              | p2 ) ) )
        & ( ( ( ~ p2
              | ~ p3 )
            & ( p2
              | p3 ) )
          | p1 ) ) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(4,negated_conjecture,
    ( ( ~ p2
      | ~ p3
      | ~ p1
      | ~ p1
      | ~ p2
      | ~ p3 )
    & ( p2
      | p3
      | ~ p1
      | ~ p1
      | ~ p2
      | ~ p3 )
    & ( ~ p2
      | p3
      | p1
      | ~ p1
      | ~ p2
      | ~ p3 )
    & ( ~ p3
      | p2
      | p1
      | ~ p1
      | ~ p2
      | ~ p3 )
    & ( ~ p2
      | ~ p3
      | ~ p1
      | p1
      | p2
      | ~ p3 )
    & ( p2
      | p3
      | ~ p1
      | p1
      | p2
      | ~ p3 )
    & ( ~ p2
      | p3
      | p1
      | p1
      | p2
      | ~ p3 )
    & ( ~ p3
      | p2
      | p1
      | p1
      | p2
      | ~ p3 )
    & ( ~ p2
      | ~ p3
      | ~ p1
      | ~ p1
      | p2
      | p3 )
    & ( p2
      | p3
      | ~ p1
      | ~ p1
      | p2
      | p3 )
    & ( ~ p2
      | p3
      | p1
      | ~ p1
      | p2
      | p3 )
    & ( ~ p3
      | p2
      | p1
      | ~ p1
      | p2
      | p3 )
    & ( ~ p2
      | ~ p3
      | ~ p1
      | ~ p2
      | p1
      | p3 )
    & ( p2
      | p3
      | ~ p1
      | ~ p2
      | p1
      | p3 )
    & ( ~ p2
      | p3
      | p1
      | ~ p2
      | p1
      | p3 )
    & ( ~ p3
      | p2
      | p1
      | ~ p2
      | p1
      | p3 )
    & ( ~ p2
      | p3
      | ~ p1
      | ~ p1
      | ~ p2
      | p3 )
    & ( ~ p3
      | p2
      | ~ p1
      | ~ p1
      | ~ p2
      | p3 )
    & ( ~ p2
      | ~ p3
      | p1
      | ~ p1
      | ~ p2
      | p3 )
    & ( p2
      | p3
      | p1
      | ~ p1
      | ~ p2
      | p3 )
    & ( ~ p2
      | p3
      | ~ p1
      | p1
      | p2
      | p3 )
    & ( ~ p3
      | p2
      | ~ p1
      | p1
      | p2
      | p3 )
    & ( ~ p2
      | ~ p3
      | p1
      | p1
      | p2
      | p3 )
    & ( p2
      | p3
      | p1
      | p1
      | p2
      | p3 )
    & ( ~ p2
      | p3
      | ~ p1
      | ~ p1
      | p2
      | ~ p3 )
    & ( ~ p3
      | p2
      | ~ p1
      | ~ p1
      | p2
      | ~ p3 )
    & ( ~ p2
      | ~ p3
      | p1
      | ~ p1
      | p2
      | ~ p3 )
    & ( p2
      | p3
      | p1
      | ~ p1
      | p2
      | ~ p3 )
    & ( ~ p2
      | p3
      | ~ p1
      | ~ p2
      | p1
      | ~ p3 )
    & ( ~ p3
      | p2
      | ~ p1
      | ~ p2
      | p1
      | ~ p3 )
    & ( ~ p2
      | ~ p3
      | p1
      | ~ p2
      | p1
      | ~ p3 )
    & ( p2
      | p3
      | p1
      | ~ p2
      | p1
      | ~ p3 ) ),
    inference(distribute,[status(thm)],[3]) ).

cnf(6,negated_conjecture,
    ( p1
    | p1
    | ~ p3
    | ~ p2
    | ~ p3
    | ~ p2 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(11,negated_conjecture,
    ( p2
    | p2
    | ~ p3
    | ~ p1
    | ~ p1
    | ~ p3 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(13,negated_conjecture,
    ( p3
    | p2
    | p1
    | p1
    | p3
    | p2 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(20,negated_conjecture,
    ( p3
    | p3
    | ~ p2
    | ~ p1
    | ~ p1
    | ~ p2 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(22,negated_conjecture,
    ( p3
    | p1
    | p1
    | p3
    | ~ p2
    | ~ p2 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(27,negated_conjecture,
    ( p3
    | p2
    | p3
    | p2
    | ~ p1
    | ~ p1 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(29,negated_conjecture,
    ( p2
    | p1
    | p1
    | p2
    | ~ p3
    | ~ p3 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(36,negated_conjecture,
    ( ~ p3
    | ~ p2
    | ~ p1
    | ~ p1
    | ~ p3
    | ~ p2 ),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(37,negated_conjecture,
    ( p2
    | p1 ),
    inference(csr,[status(thm)],[29,13]) ).

cnf(38,negated_conjecture,
    ( p3
    | p1 ),
    inference(csr,[status(thm)],[22,37]) ).

cnf(39,negated_conjecture,
    ( p3
    | p2 ),
    inference(csr,[status(thm)],[27,37]) ).

cnf(40,negated_conjecture,
    ( p1
    | ~ p2 ),
    inference(csr,[status(thm)],[6,38]) ).

cnf(41,negated_conjecture,
    p1,
    inference(csr,[status(thm)],[40,37]) ).

cnf(44,negated_conjecture,
    ( p2
    | $false
    | ~ p3 ),
    inference(rw,[status(thm)],[11,41,theory(equality)]) ).

cnf(45,negated_conjecture,
    ( p2
    | ~ p3 ),
    inference(cn,[status(thm)],[44,theory(equality)]) ).

cnf(46,negated_conjecture,
    p2,
    inference(csr,[status(thm)],[45,39]) ).

cnf(48,negated_conjecture,
    ( p3
    | $false
    | ~ p2 ),
    inference(rw,[status(thm)],[20,41,theory(equality)]) ).

cnf(49,negated_conjecture,
    ( p3
    | $false
    | $false ),
    inference(rw,[status(thm)],[48,46,theory(equality)]) ).

cnf(50,negated_conjecture,
    p3,
    inference(cn,[status(thm)],[49,theory(equality)]) ).

cnf(51,negated_conjecture,
    ( $false
    | ~ p2
    | ~ p3 ),
    inference(rw,[status(thm)],[36,41,theory(equality)]) ).

cnf(52,negated_conjecture,
    ( $false
    | $false
    | ~ p3 ),
    inference(rw,[status(thm)],[51,46,theory(equality)]) ).

cnf(53,negated_conjecture,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[52,50,theory(equality)]) ).

cnf(54,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[53,theory(equality)]) ).

cnf(55,negated_conjecture,
    $false,
    54,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN393+1.003.p
% --creating new selector for []
% -running prover on /tmp/tmpT4qlkX/sel_SYN393+1.003.p_1 with time limit 29
% -prover status Theorem
% Problem SYN393+1.003.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN393+1.003.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN393+1.003.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
% 
%------------------------------------------------------------------------------