TSTP Solution File: GEO094+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO094+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 08:05:36 EST 2010

% Result   : Theorem 184.71s
% Output   : CNFRefutation 184.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   72 (  19 unt;   0 def)
%            Number of atoms       :  364 (   0 equ)
%            Maximal formula atoms :   27 (   5 avg)
%            Number of connectives :  460 ( 168   ~; 175   |; 106   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :  146 (   4 sgn  91   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( end_point(X1,X2)
    <=> ( incident_c(X1,X2)
        & ! [X3,X4] :
            ( ( part_of(X3,X2)
              & part_of(X4,X2)
              & incident_c(X1,X3)
              & incident_c(X1,X4) )
           => ( part_of(X3,X4)
              | part_of(X4,X3) ) ) ) ),
    file('/tmp/tmpuY6cIW/sel_GEO094+1.p_4',end_point_defn) ).

fof(2,axiom,
    ! [X2,X3] :
      ( part_of(X3,X2)
    <=> ! [X1] :
          ( incident_c(X1,X3)
         => incident_c(X1,X2) ) ),
    file('/tmp/tmpuY6cIW/sel_GEO094+1.p_4',part_of_defn) ).

fof(3,axiom,
    ! [X1,X2] :
      ( inner_point(X1,X2)
    <=> ( incident_c(X1,X2)
        & ~ end_point(X1,X2) ) ),
    file('/tmp/tmpuY6cIW/sel_GEO094+1.p_4',inner_point_defn) ).

fof(4,axiom,
    ! [X2] :
    ? [X1] : inner_point(X1,X2),
    file('/tmp/tmpuY6cIW/sel_GEO094+1.p_4',c3) ).

fof(8,axiom,
    ! [X1,X2,X3] :
      ( meet(X1,X2,X3)
    <=> ( incident_c(X1,X2)
        & incident_c(X1,X3)
        & ! [X5] :
            ( ( incident_c(X5,X2)
              & incident_c(X5,X3) )
           => ( end_point(X5,X2)
              & end_point(X5,X3) ) ) ) ),
    file('/tmp/tmpuY6cIW/sel_GEO094+1.p_4',meet_defn) ).

fof(13,conjecture,
    ! [X2,X3,X4,X1] :
      ( ( meet(X1,X3,X4)
        & part_of(X3,X2)
        & part_of(X4,X2) )
     => ~ end_point(X1,X2) ),
    file('/tmp/tmpuY6cIW/sel_GEO094+1.p_4',proposition_2_14_3) ).

fof(14,negated_conjecture,
    ~ ! [X2,X3,X4,X1] :
        ( ( meet(X1,X3,X4)
          & part_of(X3,X2)
          & part_of(X4,X2) )
       => ~ end_point(X1,X2) ),
    inference(assume_negation,[status(cth)],[13]) ).

fof(15,plain,
    ! [X1,X2] :
      ( inner_point(X1,X2)
    <=> ( incident_c(X1,X2)
        & ~ end_point(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).

fof(16,negated_conjecture,
    ~ ! [X2,X3,X4,X1] :
        ( ( meet(X1,X3,X4)
          & part_of(X3,X2)
          & part_of(X4,X2) )
       => ~ end_point(X1,X2) ),
    inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).

fof(17,plain,
    ! [X1,X2] :
      ( ( ~ end_point(X1,X2)
        | ( incident_c(X1,X2)
          & ! [X3,X4] :
              ( ~ part_of(X3,X2)
              | ~ part_of(X4,X2)
              | ~ incident_c(X1,X3)
              | ~ incident_c(X1,X4)
              | part_of(X3,X4)
              | part_of(X4,X3) ) ) )
      & ( ~ incident_c(X1,X2)
        | ? [X3,X4] :
            ( part_of(X3,X2)
            & part_of(X4,X2)
            & incident_c(X1,X3)
            & incident_c(X1,X4)
            & ~ part_of(X3,X4)
            & ~ part_of(X4,X3) )
        | end_point(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(18,plain,
    ! [X5,X6] :
      ( ( ~ end_point(X5,X6)
        | ( incident_c(X5,X6)
          & ! [X7,X8] :
              ( ~ part_of(X7,X6)
              | ~ part_of(X8,X6)
              | ~ incident_c(X5,X7)
              | ~ incident_c(X5,X8)
              | part_of(X7,X8)
              | part_of(X8,X7) ) ) )
      & ( ~ incident_c(X5,X6)
        | ? [X9,X10] :
            ( part_of(X9,X6)
            & part_of(X10,X6)
            & incident_c(X5,X9)
            & incident_c(X5,X10)
            & ~ part_of(X9,X10)
            & ~ part_of(X10,X9) )
        | end_point(X5,X6) ) ),
    inference(variable_rename,[status(thm)],[17]) ).

fof(19,plain,
    ! [X5,X6] :
      ( ( ~ end_point(X5,X6)
        | ( incident_c(X5,X6)
          & ! [X7,X8] :
              ( ~ part_of(X7,X6)
              | ~ part_of(X8,X6)
              | ~ incident_c(X5,X7)
              | ~ incident_c(X5,X8)
              | part_of(X7,X8)
              | part_of(X8,X7) ) ) )
      & ( ~ incident_c(X5,X6)
        | ( part_of(esk1_2(X5,X6),X6)
          & part_of(esk2_2(X5,X6),X6)
          & incident_c(X5,esk1_2(X5,X6))
          & incident_c(X5,esk2_2(X5,X6))
          & ~ part_of(esk1_2(X5,X6),esk2_2(X5,X6))
          & ~ part_of(esk2_2(X5,X6),esk1_2(X5,X6)) )
        | end_point(X5,X6) ) ),
    inference(skolemize,[status(esa)],[18]) ).

fof(20,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ part_of(X7,X6)
            | ~ part_of(X8,X6)
            | ~ incident_c(X5,X7)
            | ~ incident_c(X5,X8)
            | part_of(X7,X8)
            | part_of(X8,X7) )
          & incident_c(X5,X6) )
        | ~ end_point(X5,X6) )
      & ( ~ incident_c(X5,X6)
        | ( part_of(esk1_2(X5,X6),X6)
          & part_of(esk2_2(X5,X6),X6)
          & incident_c(X5,esk1_2(X5,X6))
          & incident_c(X5,esk2_2(X5,X6))
          & ~ part_of(esk1_2(X5,X6),esk2_2(X5,X6))
          & ~ part_of(esk2_2(X5,X6),esk1_2(X5,X6)) )
        | end_point(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[19]) ).

fof(21,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ part_of(X7,X6)
        | ~ part_of(X8,X6)
        | ~ incident_c(X5,X7)
        | ~ incident_c(X5,X8)
        | part_of(X7,X8)
        | part_of(X8,X7)
        | ~ end_point(X5,X6) )
      & ( incident_c(X5,X6)
        | ~ end_point(X5,X6) )
      & ( part_of(esk1_2(X5,X6),X6)
        | ~ incident_c(X5,X6)
        | end_point(X5,X6) )
      & ( part_of(esk2_2(X5,X6),X6)
        | ~ incident_c(X5,X6)
        | end_point(X5,X6) )
      & ( incident_c(X5,esk1_2(X5,X6))
        | ~ incident_c(X5,X6)
        | end_point(X5,X6) )
      & ( incident_c(X5,esk2_2(X5,X6))
        | ~ incident_c(X5,X6)
        | end_point(X5,X6) )
      & ( ~ part_of(esk1_2(X5,X6),esk2_2(X5,X6))
        | ~ incident_c(X5,X6)
        | end_point(X5,X6) )
      & ( ~ part_of(esk2_2(X5,X6),esk1_2(X5,X6))
        | ~ incident_c(X5,X6)
        | end_point(X5,X6) ) ),
    inference(distribute,[status(thm)],[20]) ).

cnf(29,plain,
    ( part_of(X3,X4)
    | part_of(X4,X3)
    | ~ end_point(X1,X2)
    | ~ incident_c(X1,X3)
    | ~ incident_c(X1,X4)
    | ~ part_of(X3,X2)
    | ~ part_of(X4,X2) ),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(30,plain,
    ! [X2,X3] :
      ( ( ~ part_of(X3,X2)
        | ! [X1] :
            ( ~ incident_c(X1,X3)
            | incident_c(X1,X2) ) )
      & ( ? [X1] :
            ( incident_c(X1,X3)
            & ~ incident_c(X1,X2) )
        | part_of(X3,X2) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(31,plain,
    ! [X4,X5] :
      ( ( ~ part_of(X5,X4)
        | ! [X6] :
            ( ~ incident_c(X6,X5)
            | incident_c(X6,X4) ) )
      & ( ? [X7] :
            ( incident_c(X7,X5)
            & ~ incident_c(X7,X4) )
        | part_of(X5,X4) ) ),
    inference(variable_rename,[status(thm)],[30]) ).

fof(32,plain,
    ! [X4,X5] :
      ( ( ~ part_of(X5,X4)
        | ! [X6] :
            ( ~ incident_c(X6,X5)
            | incident_c(X6,X4) ) )
      & ( ( incident_c(esk3_2(X4,X5),X5)
          & ~ incident_c(esk3_2(X4,X5),X4) )
        | part_of(X5,X4) ) ),
    inference(skolemize,[status(esa)],[31]) ).

fof(33,plain,
    ! [X4,X5,X6] :
      ( ( ~ incident_c(X6,X5)
        | incident_c(X6,X4)
        | ~ part_of(X5,X4) )
      & ( ( incident_c(esk3_2(X4,X5),X5)
          & ~ incident_c(esk3_2(X4,X5),X4) )
        | part_of(X5,X4) ) ),
    inference(shift_quantors,[status(thm)],[32]) ).

fof(34,plain,
    ! [X4,X5,X6] :
      ( ( ~ incident_c(X6,X5)
        | incident_c(X6,X4)
        | ~ part_of(X5,X4) )
      & ( incident_c(esk3_2(X4,X5),X5)
        | part_of(X5,X4) )
      & ( ~ incident_c(esk3_2(X4,X5),X4)
        | part_of(X5,X4) ) ),
    inference(distribute,[status(thm)],[33]) ).

cnf(37,plain,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    inference(split_conjunct,[status(thm)],[34]) ).

fof(38,plain,
    ! [X1,X2] :
      ( ( ~ inner_point(X1,X2)
        | ( incident_c(X1,X2)
          & ~ end_point(X1,X2) ) )
      & ( ~ incident_c(X1,X2)
        | end_point(X1,X2)
        | inner_point(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(39,plain,
    ! [X3,X4] :
      ( ( ~ inner_point(X3,X4)
        | ( incident_c(X3,X4)
          & ~ end_point(X3,X4) ) )
      & ( ~ incident_c(X3,X4)
        | end_point(X3,X4)
        | inner_point(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[38]) ).

fof(40,plain,
    ! [X3,X4] :
      ( ( incident_c(X3,X4)
        | ~ inner_point(X3,X4) )
      & ( ~ end_point(X3,X4)
        | ~ inner_point(X3,X4) )
      & ( ~ incident_c(X3,X4)
        | end_point(X3,X4)
        | inner_point(X3,X4) ) ),
    inference(distribute,[status(thm)],[39]) ).

cnf(42,plain,
    ( ~ inner_point(X1,X2)
    | ~ end_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(43,plain,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[40]) ).

fof(44,plain,
    ! [X3] :
    ? [X4] : inner_point(X4,X3),
    inference(variable_rename,[status(thm)],[4]) ).

fof(45,plain,
    ! [X3] : inner_point(esk4_1(X3),X3),
    inference(skolemize,[status(esa)],[44]) ).

cnf(46,plain,
    inner_point(esk4_1(X1),X1),
    inference(split_conjunct,[status(thm)],[45]) ).

fof(69,plain,
    ! [X1,X2,X3] :
      ( ( ~ meet(X1,X2,X3)
        | ( incident_c(X1,X2)
          & incident_c(X1,X3)
          & ! [X5] :
              ( ~ incident_c(X5,X2)
              | ~ incident_c(X5,X3)
              | ( end_point(X5,X2)
                & end_point(X5,X3) ) ) ) )
      & ( ~ incident_c(X1,X2)
        | ~ incident_c(X1,X3)
        | ? [X5] :
            ( incident_c(X5,X2)
            & incident_c(X5,X3)
            & ( ~ end_point(X5,X2)
              | ~ end_point(X5,X3) ) )
        | meet(X1,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(70,plain,
    ! [X6,X7,X8] :
      ( ( ~ meet(X6,X7,X8)
        | ( incident_c(X6,X7)
          & incident_c(X6,X8)
          & ! [X9] :
              ( ~ incident_c(X9,X7)
              | ~ incident_c(X9,X8)
              | ( end_point(X9,X7)
                & end_point(X9,X8) ) ) ) )
      & ( ~ incident_c(X6,X7)
        | ~ incident_c(X6,X8)
        | ? [X10] :
            ( incident_c(X10,X7)
            & incident_c(X10,X8)
            & ( ~ end_point(X10,X7)
              | ~ end_point(X10,X8) ) )
        | meet(X6,X7,X8) ) ),
    inference(variable_rename,[status(thm)],[69]) ).

fof(71,plain,
    ! [X6,X7,X8] :
      ( ( ~ meet(X6,X7,X8)
        | ( incident_c(X6,X7)
          & incident_c(X6,X8)
          & ! [X9] :
              ( ~ incident_c(X9,X7)
              | ~ incident_c(X9,X8)
              | ( end_point(X9,X7)
                & end_point(X9,X8) ) ) ) )
      & ( ~ incident_c(X6,X7)
        | ~ incident_c(X6,X8)
        | ( incident_c(esk8_3(X6,X7,X8),X7)
          & incident_c(esk8_3(X6,X7,X8),X8)
          & ( ~ end_point(esk8_3(X6,X7,X8),X7)
            | ~ end_point(esk8_3(X6,X7,X8),X8) ) )
        | meet(X6,X7,X8) ) ),
    inference(skolemize,[status(esa)],[70]) ).

fof(72,plain,
    ! [X6,X7,X8,X9] :
      ( ( ( ( ~ incident_c(X9,X7)
            | ~ incident_c(X9,X8)
            | ( end_point(X9,X7)
              & end_point(X9,X8) ) )
          & incident_c(X6,X7)
          & incident_c(X6,X8) )
        | ~ meet(X6,X7,X8) )
      & ( ~ incident_c(X6,X7)
        | ~ incident_c(X6,X8)
        | ( incident_c(esk8_3(X6,X7,X8),X7)
          & incident_c(esk8_3(X6,X7,X8),X8)
          & ( ~ end_point(esk8_3(X6,X7,X8),X7)
            | ~ end_point(esk8_3(X6,X7,X8),X8) ) )
        | meet(X6,X7,X8) ) ),
    inference(shift_quantors,[status(thm)],[71]) ).

fof(73,plain,
    ! [X6,X7,X8,X9] :
      ( ( end_point(X9,X7)
        | ~ incident_c(X9,X7)
        | ~ incident_c(X9,X8)
        | ~ meet(X6,X7,X8) )
      & ( end_point(X9,X8)
        | ~ incident_c(X9,X7)
        | ~ incident_c(X9,X8)
        | ~ meet(X6,X7,X8) )
      & ( incident_c(X6,X7)
        | ~ meet(X6,X7,X8) )
      & ( incident_c(X6,X8)
        | ~ meet(X6,X7,X8) )
      & ( incident_c(esk8_3(X6,X7,X8),X7)
        | ~ incident_c(X6,X7)
        | ~ incident_c(X6,X8)
        | meet(X6,X7,X8) )
      & ( incident_c(esk8_3(X6,X7,X8),X8)
        | ~ incident_c(X6,X7)
        | ~ incident_c(X6,X8)
        | meet(X6,X7,X8) )
      & ( ~ end_point(esk8_3(X6,X7,X8),X7)
        | ~ end_point(esk8_3(X6,X7,X8),X8)
        | ~ incident_c(X6,X7)
        | ~ incident_c(X6,X8)
        | meet(X6,X7,X8) ) ),
    inference(distribute,[status(thm)],[72]) ).

cnf(77,plain,
    ( incident_c(X1,X3)
    | ~ meet(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(78,plain,
    ( incident_c(X1,X2)
    | ~ meet(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(79,plain,
    ( end_point(X4,X3)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X3)
    | ~ incident_c(X4,X2) ),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(80,plain,
    ( end_point(X4,X2)
    | ~ meet(X1,X2,X3)
    | ~ incident_c(X4,X3)
    | ~ incident_c(X4,X2) ),
    inference(split_conjunct,[status(thm)],[73]) ).

fof(100,negated_conjecture,
    ? [X2,X3,X4,X1] :
      ( meet(X1,X3,X4)
      & part_of(X3,X2)
      & part_of(X4,X2)
      & end_point(X1,X2) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(101,negated_conjecture,
    ? [X5,X6,X7,X8] :
      ( meet(X8,X6,X7)
      & part_of(X6,X5)
      & part_of(X7,X5)
      & end_point(X8,X5) ),
    inference(variable_rename,[status(thm)],[100]) ).

fof(102,negated_conjecture,
    ( meet(esk15_0,esk13_0,esk14_0)
    & part_of(esk13_0,esk12_0)
    & part_of(esk14_0,esk12_0)
    & end_point(esk15_0,esk12_0) ),
    inference(skolemize,[status(esa)],[101]) ).

cnf(103,negated_conjecture,
    end_point(esk15_0,esk12_0),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(104,negated_conjecture,
    part_of(esk14_0,esk12_0),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(105,negated_conjecture,
    part_of(esk13_0,esk12_0),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(106,negated_conjecture,
    meet(esk15_0,esk13_0,esk14_0),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(108,negated_conjecture,
    incident_c(esk15_0,esk14_0),
    inference(spm,[status(thm)],[77,106,theory(equality)]) ).

cnf(109,plain,
    incident_c(esk4_1(X1),X1),
    inference(spm,[status(thm)],[43,46,theory(equality)]) ).

cnf(110,plain,
    ~ end_point(esk4_1(X1),X1),
    inference(spm,[status(thm)],[42,46,theory(equality)]) ).

cnf(111,negated_conjecture,
    incident_c(esk15_0,esk13_0),
    inference(spm,[status(thm)],[78,106,theory(equality)]) ).

cnf(135,negated_conjecture,
    ( end_point(X1,esk14_0)
    | ~ incident_c(X1,esk14_0)
    | ~ incident_c(X1,esk13_0) ),
    inference(spm,[status(thm)],[79,106,theory(equality)]) ).

cnf(137,negated_conjecture,
    ( end_point(X1,esk13_0)
    | ~ incident_c(X1,esk14_0)
    | ~ incident_c(X1,esk13_0) ),
    inference(spm,[status(thm)],[80,106,theory(equality)]) ).

cnf(164,negated_conjecture,
    ( part_of(X1,esk14_0)
    | part_of(esk14_0,X1)
    | ~ part_of(esk14_0,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(esk15_0,X1)
    | ~ end_point(esk15_0,X2) ),
    inference(spm,[status(thm)],[29,108,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( ~ incident_c(esk4_1(esk14_0),esk14_0)
    | ~ incident_c(esk4_1(esk14_0),esk13_0) ),
    inference(spm,[status(thm)],[110,135,theory(equality)]) ).

cnf(205,negated_conjecture,
    ( $false
    | ~ incident_c(esk4_1(esk14_0),esk13_0) ),
    inference(rw,[status(thm)],[200,109,theory(equality)]) ).

cnf(206,negated_conjecture,
    ~ incident_c(esk4_1(esk14_0),esk13_0),
    inference(cn,[status(thm)],[205,theory(equality)]) ).

cnf(207,negated_conjecture,
    ( ~ incident_c(esk4_1(esk13_0),esk14_0)
    | ~ incident_c(esk4_1(esk13_0),esk13_0) ),
    inference(spm,[status(thm)],[110,137,theory(equality)]) ).

cnf(212,negated_conjecture,
    ( ~ incident_c(esk4_1(esk13_0),esk14_0)
    | $false ),
    inference(rw,[status(thm)],[207,109,theory(equality)]) ).

cnf(213,negated_conjecture,
    ~ incident_c(esk4_1(esk13_0),esk14_0),
    inference(cn,[status(thm)],[212,theory(equality)]) ).

cnf(245,negated_conjecture,
    ( part_of(esk14_0,X1)
    | part_of(X1,esk14_0)
    | ~ part_of(X1,esk12_0)
    | ~ incident_c(esk15_0,X1)
    | ~ end_point(esk15_0,esk12_0) ),
    inference(spm,[status(thm)],[164,104,theory(equality)]) ).

cnf(247,negated_conjecture,
    ( part_of(esk14_0,X1)
    | part_of(X1,esk14_0)
    | ~ part_of(X1,esk12_0)
    | ~ incident_c(esk15_0,X1)
    | $false ),
    inference(rw,[status(thm)],[245,103,theory(equality)]) ).

cnf(248,negated_conjecture,
    ( part_of(esk14_0,X1)
    | part_of(X1,esk14_0)
    | ~ part_of(X1,esk12_0)
    | ~ incident_c(esk15_0,X1) ),
    inference(cn,[status(thm)],[247,theory(equality)]) ).

cnf(267,negated_conjecture,
    ( part_of(esk13_0,esk14_0)
    | part_of(esk14_0,esk13_0)
    | ~ part_of(esk13_0,esk12_0) ),
    inference(spm,[status(thm)],[248,111,theory(equality)]) ).

cnf(280,negated_conjecture,
    ( part_of(esk13_0,esk14_0)
    | part_of(esk14_0,esk13_0)
    | $false ),
    inference(rw,[status(thm)],[267,105,theory(equality)]) ).

cnf(281,negated_conjecture,
    ( part_of(esk13_0,esk14_0)
    | part_of(esk14_0,esk13_0) ),
    inference(cn,[status(thm)],[280,theory(equality)]) ).

cnf(282,negated_conjecture,
    ( incident_c(X1,esk13_0)
    | part_of(esk13_0,esk14_0)
    | ~ incident_c(X1,esk14_0) ),
    inference(spm,[status(thm)],[37,281,theory(equality)]) ).

cnf(285,negated_conjecture,
    ( part_of(esk13_0,esk14_0)
    | incident_c(esk4_1(esk14_0),esk13_0) ),
    inference(spm,[status(thm)],[282,109,theory(equality)]) ).

cnf(297,negated_conjecture,
    part_of(esk13_0,esk14_0),
    inference(sr,[status(thm)],[285,206,theory(equality)]) ).

cnf(298,negated_conjecture,
    ( incident_c(X1,esk14_0)
    | ~ incident_c(X1,esk13_0) ),
    inference(spm,[status(thm)],[37,297,theory(equality)]) ).

cnf(301,negated_conjecture,
    ~ incident_c(esk4_1(esk13_0),esk13_0),
    inference(spm,[status(thm)],[213,298,theory(equality)]) ).

cnf(309,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[301,109,theory(equality)]) ).

cnf(310,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[309,theory(equality)]) ).

cnf(311,negated_conjecture,
    $false,
    310,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO094+1.p
% --creating new selector for [GEO004+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpuY6cIW/sel_GEO094+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpuY6cIW/sel_GEO094+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [GEO004+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpuY6cIW/sel_GEO094+1.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [GEO004+0.ax]
% -running prover on /tmp/tmpuY6cIW/sel_GEO094+1.p_4 with time limit 55
% -prover status Theorem
% Problem GEO094+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO094+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO094+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------