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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO234+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 13:39:16 EDT 2016

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   57 (  13 unt;   0 def)
%            Number of atoms       :  168 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  151 (  40   ~;  91   |;  16   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   79 (   0 sgn  30   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmpJH_Yje/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/tmpJH_Yje/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/tmpJH_Yje/sel_theBenchmark.p_1',oag6) ).

fof(4,conjecture,
    ! [X1,X2,X3] :
      ( unequally_directed_lines(X1,reverse_line(X2))
     => ( unequally_directed_lines(X1,X3)
        | unequally_directed_lines(X2,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox2/tmp/tmpJH_Yje/sel_theBenchmark.p_1',con) ).

fof(5,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( unequally_directed_lines(X1,reverse_line(X2))
       => ( unequally_directed_lines(X1,X3)
          | unequally_directed_lines(X2,reverse_line(X3)) ) ),
    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,plain,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    inference(variable_rename,[status(thm)],[6]) ).

cnf(8,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[7]) ).

fof(9,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(10,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)],[9]) ).

fof(11,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)],[10]) ).

cnf(13,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)],[11]) ).

cnf(14,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)],[11]) ).

fof(16,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(17,plain,
    ! [X4,X5,X6] :
      ( ~ unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,X6)
      | unequally_directed_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[16]) ).

cnf(18,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[17]) ).

fof(19,negated_conjecture,
    ? [X1,X2,X3] :
      ( unequally_directed_lines(X1,reverse_line(X2))
      & ~ unequally_directed_lines(X1,X3)
      & ~ unequally_directed_lines(X2,reverse_line(X3)) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(20,negated_conjecture,
    ? [X4,X5,X6] :
      ( unequally_directed_lines(X4,reverse_line(X5))
      & ~ unequally_directed_lines(X4,X6)
      & ~ unequally_directed_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[19]) ).

fof(21,negated_conjecture,
    ( unequally_directed_lines(esk1_0,reverse_line(esk2_0))
    & ~ unequally_directed_lines(esk1_0,esk3_0)
    & ~ unequally_directed_lines(esk2_0,reverse_line(esk3_0)) ),
    inference(skolemize,[status(esa)],[20]) ).

cnf(22,negated_conjecture,
    ~ unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
    inference(split_conjunct,[status(thm)],[21]) ).

cnf(23,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[21]) ).

cnf(24,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    inference(split_conjunct,[status(thm)],[21]) ).

cnf(25,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk2_0),X1)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[18,24,theory(equality)]) ).

cnf(28,negated_conjecture,
    ( unequally_directed_lines(esk2_0,reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1)
    | ~ unequally_directed_lines(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[14,24,theory(equality)]) ).

cnf(31,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(reverse_line(esk2_0),X2)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[18,25,theory(equality)]) ).

cnf(32,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk2_0),reverse_line(X1))
    | unequally_directed_lines(X2,X1)
    | unequally_directed_lines(esk1_0,reverse_line(X2))
    | ~ unequally_directed_lines(reverse_line(esk2_0),X2) ),
    inference(spm,[status(thm)],[13,25,theory(equality)]) ).

cnf(37,negated_conjecture,
    ( unequally_directed_lines(esk1_0,X1)
    | unequally_directed_lines(X1,reverse_line(esk2_0)) ),
    inference(spm,[status(thm)],[8,31,theory(equality)]) ).

cnf(50,negated_conjecture,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(esk2_0,X2)
    | unequally_directed_lines(esk1_0,X1)
    | ~ unequally_directed_lines(X1,esk2_0) ),
    inference(spm,[status(thm)],[13,37,theory(equality)]) ).

cnf(56,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk3_0)
    | ~ unequally_directed_lines(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[22,28,theory(equality)]) ).

cnf(60,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,esk2_0),
    inference(sr,[status(thm)],[56,23,theory(equality)]) ).

cnf(61,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk2_0),reverse_line(X1))
    | unequally_directed_lines(esk1_0,reverse_line(X2))
    | unequally_directed_lines(X2,X1)
    | unequally_directed_lines(esk1_0,X2) ),
    inference(spm,[status(thm)],[32,25,theory(equality)]) ).

cnf(65,negated_conjecture,
    ( unequally_directed_lines(esk1_0,reverse_line(X1))
    | unequally_directed_lines(esk2_0,X1)
    | ~ unequally_directed_lines(reverse_line(X1),esk2_0) ),
    inference(spm,[status(thm)],[8,50,theory(equality)]) ).

cnf(75,negated_conjecture,
    ( unequally_directed_lines(esk1_0,reverse_line(X1))
    | unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(reverse_line(esk2_0),esk2_0) ),
    inference(spm,[status(thm)],[65,31,theory(equality)]) ).

cnf(79,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X2)
    | unequally_directed_lines(esk1_0,X2)
    | unequally_directed_lines(reverse_line(esk2_0),esk2_0)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[18,75,theory(equality)]) ).

cnf(86,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk2_0),esk2_0)
    | unequally_directed_lines(esk2_0,esk2_0)
    | unequally_directed_lines(esk1_0,esk2_0) ),
    inference(ef,[status(thm)],[79,theory(equality)]) ).

cnf(97,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk2_0),esk2_0)
    | unequally_directed_lines(esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[86,8,theory(equality)]) ).

cnf(98,negated_conjecture,
    unequally_directed_lines(reverse_line(esk2_0),esk2_0),
    inference(sr,[status(thm)],[97,60,theory(equality)]) ).

cnf(105,negated_conjecture,
    ( unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(reverse_line(esk2_0),X1) ),
    inference(spm,[status(thm)],[18,98,theory(equality)]) ).

cnf(123,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(reverse_line(esk2_0),X2)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[18,105,theory(equality)]) ).

cnf(135,negated_conjecture,
    ( unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(X1,reverse_line(esk2_0)) ),
    inference(spm,[status(thm)],[8,123,theory(equality)]) ).

cnf(154,negated_conjecture,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(esk2_0,X2)
    | unequally_directed_lines(esk2_0,X1)
    | ~ unequally_directed_lines(X1,esk2_0) ),
    inference(spm,[status(thm)],[13,135,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( unequally_directed_lines(esk2_0,reverse_line(X1))
    | unequally_directed_lines(esk2_0,X1)
    | ~ unequally_directed_lines(reverse_line(X1),esk2_0) ),
    inference(spm,[status(thm)],[8,154,theory(equality)]) ).

cnf(229,negated_conjecture,
    ( unequally_directed_lines(esk1_0,reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1)
    | unequally_directed_lines(X1,esk2_0) ),
    inference(spm,[status(thm)],[8,61,theory(equality)]) ).

cnf(242,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X2)
    | unequally_directed_lines(esk1_0,X2)
    | unequally_directed_lines(X1,esk2_0)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[18,229,theory(equality)]) ).

cnf(316,negated_conjecture,
    ( unequally_directed_lines(esk2_0,reverse_line(X1))
    | unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(esk1_0,X1)
    | unequally_directed_lines(X1,esk2_0)
    | unequally_directed_lines(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[197,242,theory(equality)]) ).

cnf(322,negated_conjecture,
    ( unequally_directed_lines(esk2_0,reverse_line(X1))
    | unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(esk1_0,X1)
    | unequally_directed_lines(X1,esk2_0) ),
    inference(sr,[status(thm)],[316,60,theory(equality)]) ).

cnf(377,negated_conjecture,
    ( unequally_directed_lines(esk3_0,esk2_0)
    | unequally_directed_lines(esk1_0,esk3_0)
    | unequally_directed_lines(esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[22,322,theory(equality)]) ).

cnf(381,negated_conjecture,
    ( unequally_directed_lines(esk3_0,esk2_0)
    | unequally_directed_lines(esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[377,23,theory(equality)]) ).

cnf(382,negated_conjecture,
    ( unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(esk3_0,X1)
    | unequally_directed_lines(esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[18,381,theory(equality)]) ).

cnf(418,negated_conjecture,
    ( unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(esk3_0,X1) ),
    inference(csr,[status(thm)],[382,18]) ).

cnf(420,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(esk3_0,X2)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[18,418,theory(equality)]) ).

cnf(427,negated_conjecture,
    ( unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[8,420,theory(equality)]) ).

cnf(446,negated_conjecture,
    unequally_directed_lines(esk2_0,esk1_0),
    inference(spm,[status(thm)],[23,427,theory(equality)]) ).

cnf(457,negated_conjecture,
    ( unequally_directed_lines(esk1_0,X1)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[18,446,theory(equality)]) ).

cnf(460,negated_conjecture,
    unequally_directed_lines(esk2_0,esk2_0),
    inference(spm,[status(thm)],[60,457,theory(equality)]) ).

cnf(466,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[460,8,theory(equality)]) ).

cnf(467,negated_conjecture,
    $false,
    466,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO234+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % 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 11:13:52 CDT 2016
% 0.03/0.22  % CPUTime  : 
% 0.03/0.26  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.26  --creating new selector for [GEO007+0.ax]
% 0.06/0.34  -running prover on /export/starexec/sandbox2/tmp/tmpJH_Yje/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/tmpJH_Yje/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
% 0.06/0.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------