TSTP Solution File: GEO261+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO261+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n021.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 13:39:18 EDT 2016

% Result   : Theorem 184.64s
% Output   : CNFRefutation 184.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   96 (  40   ~;  26   |;  25   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   57 (   2 sgn  35   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    ! [X1,X4] :
      ( ( unequally_directed_lines(X1,X4)
        & unequally_directed_lines(X1,reverse_line(X4)) )
     => ( left_convergent_lines(X1,X4)
        | left_convergent_lines(X1,reverse_line(X4)) ) ),
    file('/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_4',oag9) ).

fof(14,axiom,
    ! [X1,X4] :
      ( convergent_lines(X1,X4)
    <=> ( unequally_directed_lines(X1,X4)
        & unequally_directed_lines(X1,reverse_line(X4)) ) ),
    file('/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_4',con_def) ).

fof(25,axiom,
    ! [X1,X4] :
      ~ ( left_convergent_lines(X1,X4)
        | left_convergent_lines(X1,reverse_line(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_4',oag11) ).

fof(27,conjecture,
    ! [X1,X4,X2,X3,X6] :
      ( ( between_on_line(X1,X2,X3,X6)
        & convergent_lines(X1,X4)
        & ~ apart_point_and_line(X3,X4) )
     => divides_points(X4,X2,X6) ),
    file('/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_4',con) ).

fof(28,negated_conjecture,
    ~ ! [X1,X4,X2,X3,X6] :
        ( ( between_on_line(X1,X2,X3,X6)
          & convergent_lines(X1,X4)
          & ~ apart_point_and_line(X3,X4) )
       => divides_points(X4,X2,X6) ),
    inference(assume_negation,[status(cth)],[27]) ).

fof(37,negated_conjecture,
    ~ ! [X1,X4,X2,X3,X6] :
        ( ( between_on_line(X1,X2,X3,X6)
          & convergent_lines(X1,X4)
          & ~ apart_point_and_line(X3,X4) )
       => divides_points(X4,X2,X6) ),
    inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).

fof(56,plain,
    ! [X1,X4] :
      ( ~ unequally_directed_lines(X1,X4)
      | ~ unequally_directed_lines(X1,reverse_line(X4))
      | left_convergent_lines(X1,X4)
      | left_convergent_lines(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(57,plain,
    ! [X5,X6] :
      ( ~ unequally_directed_lines(X5,X6)
      | ~ unequally_directed_lines(X5,reverse_line(X6))
      | left_convergent_lines(X5,X6)
      | left_convergent_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[56]) ).

cnf(58,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | left_convergent_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[57]) ).

fof(88,plain,
    ! [X1,X4] :
      ( ( ~ convergent_lines(X1,X4)
        | ( unequally_directed_lines(X1,X4)
          & unequally_directed_lines(X1,reverse_line(X4)) ) )
      & ( ~ unequally_directed_lines(X1,X4)
        | ~ unequally_directed_lines(X1,reverse_line(X4))
        | convergent_lines(X1,X4) ) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(89,plain,
    ! [X5,X6] :
      ( ( ~ convergent_lines(X5,X6)
        | ( unequally_directed_lines(X5,X6)
          & unequally_directed_lines(X5,reverse_line(X6)) ) )
      & ( ~ unequally_directed_lines(X5,X6)
        | ~ unequally_directed_lines(X5,reverse_line(X6))
        | convergent_lines(X5,X6) ) ),
    inference(variable_rename,[status(thm)],[88]) ).

fof(90,plain,
    ! [X5,X6] :
      ( ( unequally_directed_lines(X5,X6)
        | ~ convergent_lines(X5,X6) )
      & ( unequally_directed_lines(X5,reverse_line(X6))
        | ~ convergent_lines(X5,X6) )
      & ( ~ unequally_directed_lines(X5,X6)
        | ~ unequally_directed_lines(X5,reverse_line(X6))
        | convergent_lines(X5,X6) ) ),
    inference(distribute,[status(thm)],[89]) ).

cnf(92,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[90]) ).

cnf(93,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[90]) ).

fof(138,plain,
    ! [X1,X4] :
      ( ~ left_convergent_lines(X1,X4)
      & ~ left_convergent_lines(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(139,plain,
    ! [X5,X6] :
      ( ~ left_convergent_lines(X5,X6)
      & ~ left_convergent_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[138]) ).

cnf(141,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[139]) ).

fof(146,negated_conjecture,
    ? [X1,X4,X2,X3,X6] :
      ( between_on_line(X1,X2,X3,X6)
      & convergent_lines(X1,X4)
      & ~ apart_point_and_line(X3,X4)
      & ~ divides_points(X4,X2,X6) ),
    inference(fof_nnf,[status(thm)],[37]) ).

fof(147,negated_conjecture,
    ? [X7,X8,X9,X10,X11] :
      ( between_on_line(X7,X9,X10,X11)
      & convergent_lines(X7,X8)
      & ~ apart_point_and_line(X10,X8)
      & ~ divides_points(X8,X9,X11) ),
    inference(variable_rename,[status(thm)],[146]) ).

fof(148,negated_conjecture,
    ( between_on_line(esk1_0,esk3_0,esk4_0,esk5_0)
    & convergent_lines(esk1_0,esk2_0)
    & ~ apart_point_and_line(esk4_0,esk2_0)
    & ~ divides_points(esk2_0,esk3_0,esk5_0) ),
    inference(skolemize,[status(esa)],[147]) ).

cnf(151,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[148]) ).

cnf(153,negated_conjecture,
    unequally_directed_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[93,151,theory(equality)]) ).

cnf(156,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    inference(spm,[status(thm)],[92,151,theory(equality)]) ).

cnf(194,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(sr,[status(thm)],[58,141,theory(equality)]) ).

cnf(195,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(sr,[status(thm)],[194,141,theory(equality)]) ).

cnf(210,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[195,156,theory(equality)]) ).

cnf(211,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[210,153,theory(equality)]) ).

cnf(212,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[211,theory(equality)]) ).

cnf(213,negated_conjecture,
    $false,
    212,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO261+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n021.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 16091.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Apr  1 11:32:23 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for [GEO007+0.ax]
% 29.08/29.44  eprover: CPU time limit exceeded, terminating
% 109.20/111.38  eprover: CPU time limit exceeded, terminating
% 109.42/112.45  -running prover on /export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_1 with time limit 29
% 109.42/112.45  -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/tmpEQg1GH/sel_theBenchmark.p_1']
% 109.42/112.45  -prover status ResourceOut
% 109.42/112.45  -running prover on /export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_2 with time limit 80
% 109.42/112.45  -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=80', '/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_2']
% 109.42/112.45  -prover status ResourceOut
% 109.42/112.45  --creating new selector for [GEO007+0.ax]
% 184.44/188.97  eprover: CPU time limit exceeded, terminating
% 184.64/189.63  -running prover on /export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_3 with time limit 75
% 184.64/189.63  -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=75', '/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_3']
% 184.64/189.63  -prover status ResourceOut
% 184.64/189.63  --creating new selector for [GEO007+0.ax]
% 184.64/189.70  -running prover on /export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_4 with time limit 55
% 184.64/189.70  -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=55', '/export/starexec/sandbox2/tmp/tmpEQg1GH/sel_theBenchmark.p_4']
% 184.64/189.70  -prover status Theorem
% 184.64/189.70  Problem theBenchmark.p solved in phase 3.
% 184.64/189.70  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.64/189.70  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 184.64/189.70  Solved 1 out of 1.
% 184.64/189.70  # Problem is unsatisfiable (or provable), constructing proof object
% 184.64/189.70  # SZS status Theorem
% 184.64/189.70  # SZS output start CNFRefutation.
% See solution above
% 184.73/189.70  # SZS output end CNFRefutation
%------------------------------------------------------------------------------