TSTP Solution File: PUZ131+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PUZ131+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 00:57:20 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  17 unt;   0 def)
%            Number of atoms       :   83 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   89 (  41   ~;  42   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   23 (   0 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1] :
      ( course(X1)
     => teaches(coordinatorof(X1),X1) ),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',coordinator_teaches) ).

fof(8,axiom,
    ! [X1,X2] :
      ( ( student(X1)
        & course(X2) )
     => ( enrolled(X1,X2)
       => ! [X4] :
            ( professor(X4)
           => ( teaches(X4,X2)
             => taughtby(X1,X4) ) ) ) ),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',student_enrolled_taught) ).

fof(10,axiom,
    student(michael),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',michael_type) ).

fof(11,axiom,
    coordinatorof(csc410) = victor,
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',victor_coordinator_csc410_axiom) ).

fof(12,axiom,
    course(csc410),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',csc410_type) ).

fof(13,axiom,
    professor(victor),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',victor_type) ).

fof(15,conjecture,
    taughtby(michael,victor),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',teaching_conjecture) ).

fof(16,axiom,
    enrolled(michael,csc410),
    file('/tmp/tmpjHQDqO/sel_PUZ131+1.p_1',michael_enrolled_csc410_axiom) ).

fof(17,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(assume_negation,[status(cth)],[15]) ).

fof(18,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).

fof(31,plain,
    ! [X1] :
      ( ~ course(X1)
      | teaches(coordinatorof(X1),X1) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(32,plain,
    ! [X2] :
      ( ~ course(X2)
      | teaches(coordinatorof(X2),X2) ),
    inference(variable_rename,[status(thm)],[31]) ).

cnf(33,plain,
    ( teaches(coordinatorof(X1),X1)
    | ~ course(X1) ),
    inference(split_conjunct,[status(thm)],[32]) ).

fof(49,plain,
    ! [X1,X2] :
      ( ~ student(X1)
      | ~ course(X2)
      | ~ enrolled(X1,X2)
      | ! [X4] :
          ( ~ professor(X4)
          | ~ teaches(X4,X2)
          | taughtby(X1,X4) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(50,plain,
    ! [X5,X6] :
      ( ~ student(X5)
      | ~ course(X6)
      | ~ enrolled(X5,X6)
      | ! [X7] :
          ( ~ professor(X7)
          | ~ teaches(X7,X6)
          | taughtby(X5,X7) ) ),
    inference(variable_rename,[status(thm)],[49]) ).

fof(51,plain,
    ! [X5,X6,X7] :
      ( ~ professor(X7)
      | ~ teaches(X7,X6)
      | taughtby(X5,X7)
      | ~ enrolled(X5,X6)
      | ~ student(X5)
      | ~ course(X6) ),
    inference(shift_quantors,[status(thm)],[50]) ).

cnf(52,plain,
    ( taughtby(X2,X3)
    | ~ course(X1)
    | ~ student(X2)
    | ~ enrolled(X2,X1)
    | ~ teaches(X3,X1)
    | ~ professor(X3) ),
    inference(split_conjunct,[status(thm)],[51]) ).

cnf(56,plain,
    student(michael),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(57,plain,
    coordinatorof(csc410) = victor,
    inference(split_conjunct,[status(thm)],[11]) ).

cnf(58,plain,
    course(csc410),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(59,plain,
    professor(victor),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(66,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(67,plain,
    enrolled(michael,csc410),
    inference(split_conjunct,[status(thm)],[16]) ).

cnf(72,plain,
    ( teaches(victor,csc410)
    | ~ course(csc410) ),
    inference(spm,[status(thm)],[33,57,theory(equality)]) ).

cnf(73,plain,
    ( teaches(victor,csc410)
    | $false ),
    inference(rw,[status(thm)],[72,58,theory(equality)]) ).

cnf(74,plain,
    teaches(victor,csc410),
    inference(cn,[status(thm)],[73,theory(equality)]) ).

cnf(78,plain,
    ( taughtby(X1,victor)
    | ~ professor(victor)
    | ~ enrolled(X1,csc410)
    | ~ student(X1)
    | ~ course(csc410) ),
    inference(spm,[status(thm)],[52,74,theory(equality)]) ).

cnf(79,plain,
    ( taughtby(X1,victor)
    | $false
    | ~ enrolled(X1,csc410)
    | ~ student(X1)
    | ~ course(csc410) ),
    inference(rw,[status(thm)],[78,59,theory(equality)]) ).

cnf(80,plain,
    ( taughtby(X1,victor)
    | $false
    | ~ enrolled(X1,csc410)
    | ~ student(X1)
    | $false ),
    inference(rw,[status(thm)],[79,58,theory(equality)]) ).

cnf(81,plain,
    ( taughtby(X1,victor)
    | ~ enrolled(X1,csc410)
    | ~ student(X1) ),
    inference(cn,[status(thm)],[80,theory(equality)]) ).

cnf(82,negated_conjecture,
    ( ~ enrolled(michael,csc410)
    | ~ student(michael) ),
    inference(spm,[status(thm)],[66,81,theory(equality)]) ).

cnf(83,negated_conjecture,
    ( $false
    | ~ student(michael) ),
    inference(rw,[status(thm)],[82,67,theory(equality)]) ).

cnf(84,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[83,56,theory(equality)]) ).

cnf(85,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[84,theory(equality)]) ).

cnf(86,negated_conjecture,
    $false,
    85,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ131+1.p
% --creating new selector for []
% -running prover on /tmp/tmpjHQDqO/sel_PUZ131+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ131+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ131+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ131+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
% 
%------------------------------------------------------------------------------