TSTP Solution File: GEO258+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO258+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n016.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 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   33 (   8 unt;   0 def)
%            Number of atoms       :  100 (   0 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  101 (  34   ~;  46   |;  18   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   59 (   2 sgn  24   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1,X2,X3,X4] :
      ( between_on_line(X1,X2,X3,X4)
    <=> ( ( before_on_line(X1,X2,X3)
          & before_on_line(X1,X3,X4) )
        | ( before_on_line(X1,X4,X3)
          & before_on_line(X1,X3,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp5JKXX_/sel_theBenchmark.p_1',bet_def) ).

fof(11,conjecture,
    ! [X1,X2,X3,X4] :
      ( between_on_line(X1,X2,X3,X4)
     => between_on_line(X1,X4,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp5JKXX_/sel_theBenchmark.p_1',con) ).

fof(12,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( between_on_line(X1,X2,X3,X4)
       => between_on_line(X1,X4,X3,X2) ),
    inference(assume_negation,[status(cth)],[11]) ).

fof(32,plain,
    ! [X1,X2,X3,X4] :
      ( ( ~ between_on_line(X1,X2,X3,X4)
        | ( before_on_line(X1,X2,X3)
          & before_on_line(X1,X3,X4) )
        | ( before_on_line(X1,X4,X3)
          & before_on_line(X1,X3,X2) ) )
      & ( ( ( ~ before_on_line(X1,X2,X3)
            | ~ before_on_line(X1,X3,X4) )
          & ( ~ before_on_line(X1,X4,X3)
            | ~ before_on_line(X1,X3,X2) ) )
        | between_on_line(X1,X2,X3,X4) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(33,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ between_on_line(X5,X6,X7,X8)
        | ( before_on_line(X5,X6,X7)
          & before_on_line(X5,X7,X8) )
        | ( before_on_line(X5,X8,X7)
          & before_on_line(X5,X7,X6) ) )
      & ( ( ( ~ before_on_line(X5,X6,X7)
            | ~ before_on_line(X5,X7,X8) )
          & ( ~ before_on_line(X5,X8,X7)
            | ~ before_on_line(X5,X7,X6) ) )
        | between_on_line(X5,X6,X7,X8) ) ),
    inference(variable_rename,[status(thm)],[32]) ).

fof(34,plain,
    ! [X5,X6,X7,X8] :
      ( ( before_on_line(X5,X8,X7)
        | before_on_line(X5,X6,X7)
        | ~ between_on_line(X5,X6,X7,X8) )
      & ( before_on_line(X5,X7,X6)
        | before_on_line(X5,X6,X7)
        | ~ between_on_line(X5,X6,X7,X8) )
      & ( before_on_line(X5,X8,X7)
        | before_on_line(X5,X7,X8)
        | ~ between_on_line(X5,X6,X7,X8) )
      & ( before_on_line(X5,X7,X6)
        | before_on_line(X5,X7,X8)
        | ~ between_on_line(X5,X6,X7,X8) )
      & ( ~ before_on_line(X5,X6,X7)
        | ~ before_on_line(X5,X7,X8)
        | between_on_line(X5,X6,X7,X8) )
      & ( ~ before_on_line(X5,X8,X7)
        | ~ before_on_line(X5,X7,X6)
        | between_on_line(X5,X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[33]) ).

cnf(35,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(36,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(37,plain,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(38,plain,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(39,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(40,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[34]) ).

fof(62,negated_conjecture,
    ? [X1,X2,X3,X4] :
      ( between_on_line(X1,X2,X3,X4)
      & ~ between_on_line(X1,X4,X3,X2) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(63,negated_conjecture,
    ? [X5,X6,X7,X8] :
      ( between_on_line(X5,X6,X7,X8)
      & ~ between_on_line(X5,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[62]) ).

fof(64,negated_conjecture,
    ( between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
    & ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0) ),
    inference(skolemize,[status(esa)],[63]) ).

cnf(65,negated_conjecture,
    ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[64]) ).

cnf(66,negated_conjecture,
    between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[64]) ).

cnf(68,negated_conjecture,
    ( before_on_line(esk1_0,esk3_0,esk4_0)
    | before_on_line(esk1_0,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[38,66,theory(equality)]) ).

cnf(70,negated_conjecture,
    ( before_on_line(esk1_0,esk2_0,esk3_0)
    | before_on_line(esk1_0,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[40,66,theory(equality)]) ).

cnf(71,negated_conjecture,
    ( before_on_line(esk1_0,esk3_0,esk2_0)
    | before_on_line(esk1_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[37,66,theory(equality)]) ).

cnf(72,negated_conjecture,
    ( before_on_line(esk1_0,esk2_0,esk3_0)
    | before_on_line(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[39,66,theory(equality)]) ).

cnf(99,negated_conjecture,
    ( between_on_line(esk1_0,X1,esk3_0,esk2_0)
    | before_on_line(esk1_0,esk2_0,esk3_0)
    | ~ before_on_line(esk1_0,X1,esk3_0) ),
    inference(spm,[status(thm)],[36,72,theory(equality)]) ).

cnf(361,negated_conjecture,
    ( between_on_line(esk1_0,esk4_0,esk3_0,esk2_0)
    | before_on_line(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[99,70,theory(equality)]) ).

cnf(363,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    inference(sr,[status(thm)],[361,65,theory(equality)]) ).

cnf(365,negated_conjecture,
    ( between_on_line(esk1_0,X1,esk3_0,esk2_0)
    | ~ before_on_line(esk1_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[35,363,theory(equality)]) ).

cnf(377,negated_conjecture,
    ( between_on_line(esk1_0,esk4_0,esk3_0,esk2_0)
    | before_on_line(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[365,71,theory(equality)]) ).

cnf(378,negated_conjecture,
    before_on_line(esk1_0,esk3_0,esk2_0),
    inference(sr,[status(thm)],[377,65,theory(equality)]) ).

cnf(381,negated_conjecture,
    ( between_on_line(esk1_0,X1,esk3_0,esk2_0)
    | ~ before_on_line(esk1_0,X1,esk3_0) ),
    inference(spm,[status(thm)],[36,378,theory(equality)]) ).

cnf(417,negated_conjecture,
    ( between_on_line(esk1_0,esk4_0,esk3_0,esk2_0)
    | before_on_line(esk1_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[381,68,theory(equality)]) ).

cnf(419,negated_conjecture,
    before_on_line(esk1_0,esk3_0,esk4_0),
    inference(sr,[status(thm)],[417,65,theory(equality)]) ).

cnf(423,negated_conjecture,
    between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[365,419,theory(equality)]) ).

cnf(431,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[423,65,theory(equality)]) ).

cnf(432,negated_conjecture,
    $false,
    431,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO258+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.02/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n016.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 11:27:23 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.02/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28  --creating new selector for [GEO007+0.ax]
% 0.06/0.36  -running prover on /export/starexec/sandbox/tmp/tmp5JKXX_/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.36  -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/tmp5JKXX_/sel_theBenchmark.p_1']
% 0.06/0.36  -prover status Theorem
% 0.06/0.36  Problem theBenchmark.p solved in phase 0.
% 0.06/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36  Solved 1 out of 1.
% 0.06/0.36  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.36  # SZS status Theorem
% 0.06/0.36  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.37  # SZS output end CNFRefutation
%------------------------------------------------------------------------------