TSTP Solution File: CSR055+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR055+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 06:32:50 EST 2010

% Result   : Theorem 1.23s
% Output   : CNFRefutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  17   ~;   9   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (   1 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( disjointwith(X1,X2)
     => collection(X2) ),
    file('/tmp/tmpHzQYXn/sel_CSR055+3.p_1',ax2_2921) ).

fof(2,axiom,
    individual(c_xskijump_thegame),
    file('/tmp/tmpHzQYXn/sel_CSR055+3.p_1',ax2_3600) ).

fof(14,axiom,
    ! [X4] :
      ~ ( collection(X4)
        & individual(X4) ),
    file('/tmp/tmpHzQYXn/sel_CSR055+3.p_1',ax2_3089) ).

fof(28,axiom,
    ! [X3,X8] :
      ( disjointwith(X3,X8)
     => disjointwith(X8,X3) ),
    file('/tmp/tmpHzQYXn/sel_CSR055+3.p_1',ax2_7584) ).

fof(44,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/tmp/tmpHzQYXn/sel_CSR055+3.p_1',query155) ).

fof(45,negated_conjecture,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(assume_negation,[status(cth)],[44]) ).

fof(46,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).

fof(47,plain,
    ! [X1,X2] :
      ( ~ disjointwith(X1,X2)
      | collection(X2) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(48,plain,
    ! [X3,X4] :
      ( ~ disjointwith(X3,X4)
      | collection(X4) ),
    inference(variable_rename,[status(thm)],[47]) ).

cnf(49,plain,
    ( collection(X1)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(50,plain,
    individual(c_xskijump_thegame),
    inference(split_conjunct,[status(thm)],[2]) ).

fof(83,plain,
    ! [X4] :
      ( ~ collection(X4)
      | ~ individual(X4) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(84,plain,
    ! [X5] :
      ( ~ collection(X5)
      | ~ individual(X5) ),
    inference(variable_rename,[status(thm)],[83]) ).

cnf(85,plain,
    ( ~ individual(X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[84]) ).

fof(119,plain,
    ! [X3,X8] :
      ( ~ disjointwith(X3,X8)
      | disjointwith(X8,X3) ),
    inference(fof_nnf,[status(thm)],[28]) ).

fof(120,plain,
    ! [X9,X10] :
      ( ~ disjointwith(X9,X10)
      | disjointwith(X10,X9) ),
    inference(variable_rename,[status(thm)],[119]) ).

cnf(121,plain,
    ( disjointwith(X1,X2)
    | ~ disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[120]) ).

cnf(163,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(split_conjunct,[status(thm)],[46]) ).

cnf(167,plain,
    ~ collection(c_xskijump_thegame),
    inference(spm,[status(thm)],[85,50,theory(equality)]) ).

cnf(168,negated_conjecture,
    disjointwith(c_tptpcol_16_35301,c_xskijump_thegame),
    inference(spm,[status(thm)],[121,163,theory(equality)]) ).

cnf(189,negated_conjecture,
    collection(c_xskijump_thegame),
    inference(spm,[status(thm)],[49,168,theory(equality)]) ).

cnf(192,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[189,167,theory(equality)]) ).

cnf(193,negated_conjecture,
    $false,
    192,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR055+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmpHzQYXn/sel_CSR055+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR055+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR055+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR055+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
% 
%------------------------------------------------------------------------------