TSTP Solution File: KLE067+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KLE067+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 12:08:10 EST 2010

% Result   : Theorem 240.80s
% Output   : CNFRefutation 240.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn  14   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
    file('/tmp/tmpDU0KDT/sel_KLE067+1.p_5',domain2) ).

fof(13,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/tmp/tmpDU0KDT/sel_KLE067+1.p_5',multiplicative_left_identity) ).

fof(15,axiom,
    ! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
    file('/tmp/tmpDU0KDT/sel_KLE067+1.p_5',domain5) ).

fof(17,conjecture,
    ! [X4,X5] : domain(addition(domain(X4),domain(X5))) = addition(domain(X4),domain(X5)),
    file('/tmp/tmpDU0KDT/sel_KLE067+1.p_5',goals) ).

fof(18,negated_conjecture,
    ~ ! [X4,X5] : domain(addition(domain(X4),domain(X5))) = addition(domain(X4),domain(X5)),
    inference(assume_negation,[status(cth)],[17]) ).

fof(39,plain,
    ! [X6,X7] : domain(multiplication(X6,X7)) = domain(multiplication(X6,domain(X7))),
    inference(variable_rename,[status(thm)],[11]) ).

cnf(40,plain,
    domain(multiplication(X1,X2)) = domain(multiplication(X1,domain(X2))),
    inference(split_conjunct,[status(thm)],[39]) ).

fof(43,plain,
    ! [X2] : multiplication(one,X2) = X2,
    inference(variable_rename,[status(thm)],[13]) ).

cnf(44,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[43]) ).

fof(47,plain,
    ! [X6,X7] : domain(addition(X6,X7)) = addition(domain(X6),domain(X7)),
    inference(variable_rename,[status(thm)],[15]) ).

cnf(48,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    inference(split_conjunct,[status(thm)],[47]) ).

fof(50,negated_conjecture,
    ? [X4,X5] : domain(addition(domain(X4),domain(X5))) != addition(domain(X4),domain(X5)),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(51,negated_conjecture,
    ? [X6,X7] : domain(addition(domain(X6),domain(X7))) != addition(domain(X6),domain(X7)),
    inference(variable_rename,[status(thm)],[50]) ).

fof(52,negated_conjecture,
    domain(addition(domain(esk1_0),domain(esk2_0))) != addition(domain(esk1_0),domain(esk2_0)),
    inference(skolemize,[status(esa)],[51]) ).

cnf(53,negated_conjecture,
    domain(addition(domain(esk1_0),domain(esk2_0))) != addition(domain(esk1_0),domain(esk2_0)),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(99,negated_conjecture,
    domain(domain(addition(esk1_0,esk2_0))) != addition(domain(esk1_0),domain(esk2_0)),
    inference(rw,[status(thm)],[53,48,theory(equality)]) ).

cnf(100,negated_conjecture,
    domain(domain(addition(esk1_0,esk2_0))) != domain(addition(esk1_0,esk2_0)),
    inference(rw,[status(thm)],[99,48,theory(equality)]) ).

cnf(107,plain,
    domain(domain(X1)) = domain(multiplication(one,X1)),
    inference(spm,[status(thm)],[40,44,theory(equality)]) ).

cnf(114,plain,
    domain(domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[107,44,theory(equality)]) ).

cnf(221,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[100,114,theory(equality)]) ).

cnf(222,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[221,theory(equality)]) ).

cnf(223,negated_conjecture,
    $false,
    222,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE067+1.p
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpDU0KDT/sel_KLE067+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpDU0KDT/sel_KLE067+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpDU0KDT/sel_KLE067+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpDU0KDT/sel_KLE067+1.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% -running prover on /tmp/tmpDU0KDT/sel_KLE067+1.p_5 with time limit 55
% -prover status Theorem
% Problem KLE067+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE067+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE067+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
% 
%------------------------------------------------------------------------------