TSTP Solution File: GEO227+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO227+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n005.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 16091.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Apr  1 13:39:15 EDT 2016

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (  28   ~;  16   |;  16   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    ! [X1,X2] :
      ( ( line(X1)
        & line(X2) )
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X1,reverse_line(X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp08ec5a/sel_theBenchmark.p_1',oag8) ).

fof(6,conjecture,
    ! [X1,X2] :
      ( ( line(X1)
        & line(X2) )
     => ~ ( ~ unequally_directed_lines(X1,X2)
          & ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp08ec5a/sel_theBenchmark.p_1',con) ).

fof(7,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( line(X1)
          & line(X2) )
       => ~ ( ~ unequally_directed_lines(X1,X2)
            & ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
    inference(assume_negation,[status(cth)],[6]) ).

fof(9,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( line(X1)
          & line(X2) )
       => ~ ( ~ unequally_directed_lines(X1,X2)
            & ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(25,plain,
    ! [X1,X2] :
      ( ~ line(X1)
      | ~ line(X2)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(26,plain,
    ! [X3,X4] :
      ( ~ line(X3)
      | ~ line(X4)
      | unequally_directed_lines(X3,X4)
      | unequally_directed_lines(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[25]) ).

cnf(27,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(28,negated_conjecture,
    ? [X1,X2] :
      ( line(X1)
      & line(X2)
      & ~ unequally_directed_lines(X1,X2)
      & ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(29,negated_conjecture,
    ? [X3,X4] :
      ( line(X3)
      & line(X4)
      & ~ unequally_directed_lines(X3,X4)
      & ~ unequally_directed_lines(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[28]) ).

fof(30,negated_conjecture,
    ( line(esk1_0)
    & line(esk2_0)
    & ~ unequally_directed_lines(esk1_0,esk2_0)
    & ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ),
    inference(skolemize,[status(esa)],[29]) ).

cnf(31,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    inference(split_conjunct,[status(thm)],[30]) ).

cnf(32,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[30]) ).

cnf(33,negated_conjecture,
    line(esk2_0),
    inference(split_conjunct,[status(thm)],[30]) ).

cnf(34,negated_conjecture,
    line(esk1_0),
    inference(split_conjunct,[status(thm)],[30]) ).

cnf(37,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | ~ line(esk2_0)
    | ~ line(esk1_0) ),
    inference(spm,[status(thm)],[31,27,theory(equality)]) ).

cnf(38,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | $false
    | ~ line(esk1_0) ),
    inference(rw,[status(thm)],[37,33,theory(equality)]) ).

cnf(39,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[38,34,theory(equality)]) ).

cnf(40,negated_conjecture,
    unequally_directed_lines(esk1_0,esk2_0),
    inference(cn,[status(thm)],[39,theory(equality)]) ).

cnf(41,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[40,32,theory(equality)]) ).

cnf(42,negated_conjecture,
    $false,
    41,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO227+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n005.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 16091.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Apr  1 11:09:23 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27  --creating new selector for [GEO007+0.ax]
% 0.06/0.34  -running prover on /export/starexec/sandbox/tmp/tmp08ec5a/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.34  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp08ec5a/sel_theBenchmark.p_1']
% 0.06/0.34  -prover status Theorem
% 0.06/0.34  Problem theBenchmark.p solved in phase 0.
% 0.06/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34  Solved 1 out of 1.
% 0.06/0.34  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.34  # SZS status Theorem
% 0.06/0.34  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------