TSTP Solution File: GEO233+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO233+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n018.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      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (  16 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   86 (  32   ~;  42   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   45 (   0 sgn  27   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmpyd2utX/sel_theBenchmark.p_1',oag5) ).

fof(2,axiom,
    ! [X1,X2,X3] :
      ( ( unequally_directed_lines(X1,X2)
        & unequally_directed_lines(X1,reverse_line(X2)) )
     => ( ( unequally_directed_lines(X1,X3)
          & unequally_directed_lines(X1,reverse_line(X3)) )
        | ( unequally_directed_lines(X2,X3)
          & unequally_directed_lines(X2,reverse_line(X3)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmpyd2utX/sel_theBenchmark.p_1',oag7) ).

fof(3,axiom,
    ! [X1,X2,X3] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X1,X3)
        | unequally_directed_lines(X2,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmpyd2utX/sel_theBenchmark.p_1',oag6) ).

fof(4,conjecture,
    ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
    file('/export/starexec/sandbox2/tmp/tmpyd2utX/sel_theBenchmark.p_1',con) ).

fof(5,negated_conjecture,
    ~ ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
    inference(assume_negation,[status(cth)],[4]) ).

fof(6,plain,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(7,negated_conjecture,
    ~ ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
    inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).

fof(8,plain,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    inference(variable_rename,[status(thm)],[6]) ).

cnf(9,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[8]) ).

fof(10,plain,
    ! [X1,X2,X3] :
      ( ~ unequally_directed_lines(X1,X2)
      | ~ unequally_directed_lines(X1,reverse_line(X2))
      | ( unequally_directed_lines(X1,X3)
        & unequally_directed_lines(X1,reverse_line(X3)) )
      | ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(11,plain,
    ! [X4,X5,X6] :
      ( ~ unequally_directed_lines(X4,X5)
      | ~ unequally_directed_lines(X4,reverse_line(X5))
      | ( unequally_directed_lines(X4,X6)
        & unequally_directed_lines(X4,reverse_line(X6)) )
      | ( unequally_directed_lines(X5,X6)
        & unequally_directed_lines(X5,reverse_line(X6)) ) ),
    inference(variable_rename,[status(thm)],[10]) ).

fof(12,plain,
    ! [X4,X5,X6] :
      ( ( unequally_directed_lines(X5,X6)
        | unequally_directed_lines(X4,X6)
        | ~ unequally_directed_lines(X4,X5)
        | ~ unequally_directed_lines(X4,reverse_line(X5)) )
      & ( unequally_directed_lines(X5,reverse_line(X6))
        | unequally_directed_lines(X4,X6)
        | ~ unequally_directed_lines(X4,X5)
        | ~ unequally_directed_lines(X4,reverse_line(X5)) )
      & ( unequally_directed_lines(X5,X6)
        | unequally_directed_lines(X4,reverse_line(X6))
        | ~ unequally_directed_lines(X4,X5)
        | ~ unequally_directed_lines(X4,reverse_line(X5)) )
      & ( unequally_directed_lines(X5,reverse_line(X6))
        | unequally_directed_lines(X4,reverse_line(X6))
        | ~ unequally_directed_lines(X4,X5)
        | ~ unequally_directed_lines(X4,reverse_line(X5)) ) ),
    inference(distribute,[status(thm)],[11]) ).

cnf(14,plain,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(15,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[12]) ).

fof(17,plain,
    ! [X1,X2,X3] :
      ( ~ unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X1,X3)
      | unequally_directed_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(18,plain,
    ! [X4,X5,X6] :
      ( ~ unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,X6)
      | unequally_directed_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[17]) ).

cnf(19,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[18]) ).

fof(20,negated_conjecture,
    ? [X1] : unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(21,negated_conjecture,
    ? [X2] : unequally_directed_lines(reverse_line(reverse_line(X2)),X2),
    inference(variable_rename,[status(thm)],[20]) ).

fof(22,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
    inference(skolemize,[status(esa)],[21]) ).

cnf(23,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(24,negated_conjecture,
    ( unequally_directed_lines(esk1_0,X1)
    | unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1) ),
    inference(spm,[status(thm)],[19,23,theory(equality)]) ).

cnf(27,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk1_0))),
    inference(spm,[status(thm)],[9,24,theory(equality)]) ).

cnf(29,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),reverse_line(X1))
    | unequally_directed_lines(X2,X1)
    | unequally_directed_lines(esk1_0,reverse_line(X2))
    | ~ unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X2) ),
    inference(spm,[status(thm)],[14,24,theory(equality)]) ).

cnf(33,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1)
    | ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)) ),
    inference(spm,[status(thm)],[15,27,theory(equality)]) ).

cnf(39,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk1_0)
    | ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)) ),
    inference(spm,[status(thm)],[9,33,theory(equality)]) ).

cnf(43,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(sr,[status(thm)],[39,9,theory(equality)]) ).

cnf(62,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),reverse_line(X1))
    | unequally_directed_lines(esk1_0,reverse_line(esk1_0))
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[29,23,theory(equality)]) ).

cnf(66,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1) ),
    inference(sr,[status(thm)],[62,43,theory(equality)]) ).

cnf(68,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(spm,[status(thm)],[9,66,theory(equality)]) ).

cnf(73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[68,43,theory(equality)]) ).

cnf(74,negated_conjecture,
    $false,
    73,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO233+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % Computer : n018.star.cs.uiowa.edu
% 0.03/0.22  % Model    : x86_64 x86_64
% 0.03/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22  % Memory   : 16091.75MB
% 0.03/0.22  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22  % CPULimit : 300
% 0.03/0.22  % DateTime : Fri Apr  1 11:12:53 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27  --creating new selector for [GEO007+0.ax]
% 0.06/0.34  -running prover on /export/starexec/sandbox2/tmp/tmpyd2utX/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.34  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpyd2utX/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/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34  % SZS status Ended for /export/starexec/sandbox2/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
% 0.06/0.35  # SZS output end CNFRefutation
%------------------------------------------------------------------------------