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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO290+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.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 09:21:31 EST 2010

% Result   : Theorem 9.36s
% Output   : CNFRefutation 9.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  100 (  45 unt;   0 def)
%            Number of atoms       :  515 ( 236 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  633 ( 218   ~; 295   |; 117   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-3 aty)
%            Number of variables   :  138 (   0 sgn  51   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ( ~ ? [X38] :
          ( ron(vd1187,X38)
          & ron(vd1186,X38)
          & ron(vd1185,X38)
          & rline(X38) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X39] :
        ( vd1187 = X39
        & rpoint(X39) )
    & ? [X40] :
        ( vd1186 = X40
        & rpoint(X40) )
    & ? [X41] :
        ( vd1185 = X41
        & rpoint(X41) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X42] :
        ( vd1180 = X42
        & rpoint(X42) )
    & ? [X43] :
        ( vd1179 = X43
        & rpoint(X43) )
    & ? [X44] :
        ( vd1178 = X44
        & rpoint(X44) ) ),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof(8,axiom,
    ron(vd1199,vd1197),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)') ).

fof(10,axiom,
    ron(vd1185,vd1197),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','pred(s1(plural(269)), 0)') ).

fof(18,axiom,
    ! [X99,X100,X101,X102,X103] :
      ( ( X102 = X103
        & ron(X101,X102)
        & ron(X100,X102)
        & ron(X99,X102)
        & rline(X103)
        & X100 != X101
        & X99 != X101
        & X99 != X100
        & ? [X104] :
            ( X101 = X104
            & rpoint(X104) )
        & ? [X105] :
            ( X100 = X105
            & rpoint(X105) )
        & ? [X106] :
            ( X99 = X106
            & rpoint(X106) ) )
     => ( rR(X100,X99,X101)
        | rR(X99,X100,X101)
        | rR(X101,X99,X100) ) ),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).

fof(34,axiom,
    ~ rR(vd1186,vd1199,vd1185),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).

fof(38,axiom,
    ? [X254] :
      ( vd1199 = X254
      & rpoint(X254) ),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','qe(s1(plural(271)))') ).

fof(41,conjecture,
    ( rR(vd1199,vd1185,vd1186)
    | rR(vd1185,vd1199,vd1186) ),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','dis(276)') ).

fof(42,axiom,
    rline(vd1197),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','pred(269, 0)') ).

fof(65,axiom,
    vd1199 != vd1185,
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','holds(275, 1217, 0)') ).

fof(83,axiom,
    ! [X494,X495] :
      ( ( ? [X496] :
            ( X495 = X496
            & rpoint(X496) )
        & ? [X497] :
            ( X494 = X497
            & rpoint(X497) ) )
     => ( vf(X494,X495) = v0
      <=> X494 = X495 ) ),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(99,axiom,
    ron(vd1186,vd1197),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','pred(s2(plural(269)), 0)') ).

fof(107,axiom,
    vf(vd1199,vd1200) = vf(vd1185,vd1186),
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','holds(273, 1215, 0)') ).

fof(126,axiom,
    vd1200 = vd1186,
    file('/tmp/tmpDL02be/sel_GEO290+1.p_1','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).

fof(130,negated_conjecture,
    ~ ( rR(vd1199,vd1185,vd1186)
      | rR(vd1185,vd1199,vd1186) ),
    inference(assume_negation,[status(cth)],[41]) ).

fof(141,plain,
    ~ rR(vd1186,vd1199,vd1185),
    inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).

fof(196,plain,
    ( ! [X38] :
        ( ~ ron(vd1187,X38)
        | ~ ron(vd1186,X38)
        | ~ ron(vd1185,X38)
        | ~ rline(X38) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X39] :
        ( vd1187 = X39
        & rpoint(X39) )
    & ? [X40] :
        ( vd1186 = X40
        & rpoint(X40) )
    & ? [X41] :
        ( vd1185 = X41
        & rpoint(X41) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X42] :
        ( vd1180 = X42
        & rpoint(X42) )
    & ? [X43] :
        ( vd1179 = X43
        & rpoint(X43) )
    & ? [X44] :
        ( vd1178 = X44
        & rpoint(X44) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(197,plain,
    ( ! [X45] :
        ( ~ ron(vd1187,X45)
        | ~ ron(vd1186,X45)
        | ~ ron(vd1185,X45)
        | ~ rline(X45) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X46] :
        ( vd1187 = X46
        & rpoint(X46) )
    & ? [X47] :
        ( vd1186 = X47
        & rpoint(X47) )
    & ? [X48] :
        ( vd1185 = X48
        & rpoint(X48) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X49] :
        ( vd1180 = X49
        & rpoint(X49) )
    & ? [X50] :
        ( vd1179 = X50
        & rpoint(X50) )
    & ? [X51] :
        ( vd1178 = X51
        & rpoint(X51) ) ),
    inference(variable_rename,[status(thm)],[196]) ).

fof(198,plain,
    ( ! [X45] :
        ( ~ ron(vd1187,X45)
        | ~ ron(vd1186,X45)
        | ~ ron(vd1185,X45)
        | ~ rline(X45) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vd1187 = esk4_0
    & rpoint(esk4_0)
    & vd1186 = esk5_0
    & rpoint(esk5_0)
    & vd1185 = esk6_0
    & rpoint(esk6_0)
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & vd1180 = esk7_0
    & rpoint(esk7_0)
    & vd1179 = esk8_0
    & rpoint(esk8_0)
    & vd1178 = esk9_0
    & rpoint(esk9_0) ),
    inference(skolemize,[status(esa)],[197]) ).

fof(199,plain,
    ! [X45] :
      ( ( ~ ron(vd1187,X45)
        | ~ ron(vd1186,X45)
        | ~ ron(vd1185,X45)
        | ~ rline(X45) )
      & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
      & vf(vd1178,vd1180) = vf(vd1185,vd1187)
      & vf(vd1178,vd1179) = vf(vd1185,vd1186)
      & vd1187 = esk4_0
      & rpoint(esk4_0)
      & vd1186 = esk5_0
      & rpoint(esk5_0)
      & vd1185 = esk6_0
      & rpoint(esk6_0)
      & vd1179 != vd1180
      & vd1178 != vd1180
      & vd1178 != vd1179
      & vd1180 = esk7_0
      & rpoint(esk7_0)
      & vd1179 = esk8_0
      & rpoint(esk8_0)
      & vd1178 = esk9_0
      & rpoint(esk9_0) ),
    inference(shift_quantors,[status(thm)],[198]) ).

cnf(200,plain,
    rpoint(esk9_0),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(201,plain,
    vd1178 = esk9_0,
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(202,plain,
    rpoint(esk8_0),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(203,plain,
    vd1179 = esk8_0,
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(206,plain,
    vd1178 != vd1179,
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(209,plain,
    rpoint(esk6_0),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(210,plain,
    vd1185 = esk6_0,
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(211,plain,
    rpoint(esk5_0),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(212,plain,
    vd1186 = esk5_0,
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(215,plain,
    vf(vd1178,vd1179) = vf(vd1185,vd1186),
    inference(split_conjunct,[status(thm)],[199]) ).

cnf(220,plain,
    ron(vd1199,vd1197),
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(222,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],[10]) ).

fof(268,plain,
    ! [X99,X100,X101,X102,X103] :
      ( X102 != X103
      | ~ ron(X101,X102)
      | ~ ron(X100,X102)
      | ~ ron(X99,X102)
      | ~ rline(X103)
      | X100 = X101
      | X99 = X101
      | X99 = X100
      | ! [X104] :
          ( X101 != X104
          | ~ rpoint(X104) )
      | ! [X105] :
          ( X100 != X105
          | ~ rpoint(X105) )
      | ! [X106] :
          ( X99 != X106
          | ~ rpoint(X106) )
      | rR(X100,X99,X101)
      | rR(X99,X100,X101)
      | rR(X101,X99,X100) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(269,plain,
    ! [X107,X108,X109,X110,X111] :
      ( X110 != X111
      | ~ ron(X109,X110)
      | ~ ron(X108,X110)
      | ~ ron(X107,X110)
      | ~ rline(X111)
      | X108 = X109
      | X107 = X109
      | X107 = X108
      | ! [X112] :
          ( X109 != X112
          | ~ rpoint(X112) )
      | ! [X113] :
          ( X108 != X113
          | ~ rpoint(X113) )
      | ! [X114] :
          ( X107 != X114
          | ~ rpoint(X114) )
      | rR(X108,X107,X109)
      | rR(X107,X108,X109)
      | rR(X109,X107,X108) ),
    inference(variable_rename,[status(thm)],[268]) ).

fof(270,plain,
    ! [X107,X108,X109,X110,X111,X112,X113,X114] :
      ( X107 != X114
      | ~ rpoint(X114)
      | X108 != X113
      | ~ rpoint(X113)
      | X109 != X112
      | ~ rpoint(X112)
      | X110 != X111
      | ~ ron(X109,X110)
      | ~ ron(X108,X110)
      | ~ ron(X107,X110)
      | ~ rline(X111)
      | X108 = X109
      | X107 = X109
      | X107 = X108
      | rR(X108,X107,X109)
      | rR(X107,X108,X109)
      | rR(X109,X107,X108) ),
    inference(shift_quantors,[status(thm)],[269]) ).

cnf(271,plain,
    ( rR(X1,X2,X3)
    | rR(X2,X3,X1)
    | rR(X3,X2,X1)
    | X2 = X3
    | X2 = X1
    | X3 = X1
    | ~ rline(X4)
    | ~ ron(X2,X5)
    | ~ ron(X3,X5)
    | ~ ron(X1,X5)
    | X5 != X4
    | ~ rpoint(X6)
    | X1 != X6
    | ~ rpoint(X7)
    | X3 != X7
    | ~ rpoint(X8)
    | X2 != X8 ),
    inference(split_conjunct,[status(thm)],[270]) ).

cnf(381,plain,
    ~ rR(vd1186,vd1199,vd1185),
    inference(split_conjunct,[status(thm)],[141]) ).

fof(403,plain,
    ? [X255] :
      ( vd1199 = X255
      & rpoint(X255) ),
    inference(variable_rename,[status(thm)],[38]) ).

fof(404,plain,
    ( vd1199 = esk26_0
    & rpoint(esk26_0) ),
    inference(skolemize,[status(esa)],[403]) ).

cnf(405,plain,
    rpoint(esk26_0),
    inference(split_conjunct,[status(thm)],[404]) ).

cnf(406,plain,
    vd1199 = esk26_0,
    inference(split_conjunct,[status(thm)],[404]) ).

fof(420,negated_conjecture,
    ( ~ rR(vd1199,vd1185,vd1186)
    & ~ rR(vd1185,vd1199,vd1186) ),
    inference(fof_nnf,[status(thm)],[130]) ).

cnf(421,negated_conjecture,
    ~ rR(vd1185,vd1199,vd1186),
    inference(split_conjunct,[status(thm)],[420]) ).

cnf(422,negated_conjecture,
    ~ rR(vd1199,vd1185,vd1186),
    inference(split_conjunct,[status(thm)],[420]) ).

cnf(423,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],[42]) ).

cnf(530,plain,
    vd1199 != vd1185,
    inference(split_conjunct,[status(thm)],[65]) ).

fof(605,plain,
    ! [X494,X495] :
      ( ! [X496] :
          ( X495 != X496
          | ~ rpoint(X496) )
      | ! [X497] :
          ( X494 != X497
          | ~ rpoint(X497) )
      | ( ( vf(X494,X495) != v0
          | X494 = X495 )
        & ( X494 != X495
          | vf(X494,X495) = v0 ) ) ),
    inference(fof_nnf,[status(thm)],[83]) ).

fof(606,plain,
    ! [X498,X499] :
      ( ! [X500] :
          ( X499 != X500
          | ~ rpoint(X500) )
      | ! [X501] :
          ( X498 != X501
          | ~ rpoint(X501) )
      | ( ( vf(X498,X499) != v0
          | X498 = X499 )
        & ( X498 != X499
          | vf(X498,X499) = v0 ) ) ),
    inference(variable_rename,[status(thm)],[605]) ).

fof(607,plain,
    ! [X498,X499,X500,X501] :
      ( X498 != X501
      | ~ rpoint(X501)
      | X499 != X500
      | ~ rpoint(X500)
      | ( ( vf(X498,X499) != v0
          | X498 = X499 )
        & ( X498 != X499
          | vf(X498,X499) = v0 ) ) ),
    inference(shift_quantors,[status(thm)],[606]) ).

fof(608,plain,
    ! [X498,X499,X500,X501] :
      ( ( vf(X498,X499) != v0
        | X498 = X499
        | X498 != X501
        | ~ rpoint(X501)
        | X499 != X500
        | ~ rpoint(X500) )
      & ( X498 != X499
        | vf(X498,X499) = v0
        | X498 != X501
        | ~ rpoint(X501)
        | X499 != X500
        | ~ rpoint(X500) ) ),
    inference(distribute,[status(thm)],[607]) ).

cnf(609,plain,
    ( vf(X4,X2) = v0
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | X4 != X2 ),
    inference(split_conjunct,[status(thm)],[608]) ).

cnf(610,plain,
    ( X4 = X2
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | vf(X4,X2) != v0 ),
    inference(split_conjunct,[status(thm)],[608]) ).

cnf(692,plain,
    ron(vd1186,vd1197),
    inference(split_conjunct,[status(thm)],[99]) ).

cnf(719,plain,
    vf(vd1199,vd1200) = vf(vd1185,vd1186),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(818,plain,
    vd1200 = vd1186,
    inference(split_conjunct,[status(thm)],[126]) ).

cnf(836,plain,
    rpoint(vd1186),
    inference(rw,[status(thm)],[211,212,theory(equality)]) ).

cnf(837,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[209,210,theory(equality)]) ).

cnf(839,plain,
    rpoint(vd1179),
    inference(rw,[status(thm)],[202,203,theory(equality)]) ).

cnf(840,plain,
    rpoint(vd1178),
    inference(rw,[status(thm)],[200,201,theory(equality)]) ).

cnf(841,plain,
    rpoint(vd1199),
    inference(rw,[status(thm)],[405,406,theory(equality)]) ).

cnf(848,plain,
    vf(vd1199,vd1186) = vf(vd1185,vd1186),
    inference(rw,[status(thm)],[719,818,theory(equality)]) ).

cnf(849,plain,
    vf(vd1178,vd1179) = vf(vd1199,vd1186),
    inference(rw,[status(thm)],[215,848,theory(equality)]) ).

cnf(873,plain,
    ( vf(X1,X2) = v0
    | X2 != X1
    | X3 != X2
    | ~ rpoint(X1)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[609,theory(equality)]) ).

cnf(874,plain,
    ( vf(X1,X1) = v0
    | X2 != X1
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[873,theory(equality)]) ).

cnf(875,plain,
    ( vf(X1,X1) = v0
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[874,theory(equality)]) ).

cnf(898,plain,
    ( X1 = X2
    | vf(X2,X1) != v0
    | X3 != X1
    | ~ rpoint(X2)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[610,theory(equality)]) ).

cnf(899,plain,
    ( X1 = X2
    | vf(X2,X1) != v0
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[898,theory(equality)]) ).

cnf(1365,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | rR(X1,X2,X3)
    | rR(X2,X3,X1)
    | rR(X3,X2,X1)
    | X3 != X4
    | X2 != X5
    | X1 != X6
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X6)
    | ~ ron(X3,X7)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7) ),
    inference(er,[status(thm)],[271,theory(equality)]) ).

cnf(1366,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | rR(X1,X2,X3)
    | rR(X2,X3,X1)
    | rR(X3,X2,X1)
    | X2 != X4
    | X1 != X5
    | ~ rline(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X5)
    | ~ ron(X3,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6) ),
    inference(er,[status(thm)],[1365,theory(equality)]) ).

cnf(1367,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | rR(X1,X2,X3)
    | rR(X2,X3,X1)
    | rR(X3,X2,X1)
    | X1 != X4
    | ~ rline(X5)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ ron(X3,X5)
    | ~ ron(X2,X5)
    | ~ ron(X1,X5) ),
    inference(er,[status(thm)],[1366,theory(equality)]) ).

cnf(1368,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | rR(X1,X2,X3)
    | rR(X2,X3,X1)
    | rR(X3,X2,X1)
    | ~ rline(X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ ron(X3,X4)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[1367,theory(equality)]) ).

cnf(1974,plain,
    ( vd1179 = vd1178
    | vf(vd1199,vd1186) != v0
    | ~ rpoint(vd1178)
    | ~ rpoint(vd1179) ),
    inference(spm,[status(thm)],[899,849,theory(equality)]) ).

cnf(1980,plain,
    ( vd1179 = vd1178
    | vf(vd1199,vd1186) != v0
    | $false
    | ~ rpoint(vd1179) ),
    inference(rw,[status(thm)],[1974,840,theory(equality)]) ).

cnf(1981,plain,
    ( vd1179 = vd1178
    | vf(vd1199,vd1186) != v0
    | $false
    | $false ),
    inference(rw,[status(thm)],[1980,839,theory(equality)]) ).

cnf(1982,plain,
    ( vd1179 = vd1178
    | vf(vd1199,vd1186) != v0 ),
    inference(cn,[status(thm)],[1981,theory(equality)]) ).

cnf(1983,plain,
    vf(vd1199,vd1186) != v0,
    inference(sr,[status(thm)],[1982,206,theory(equality)]) ).

cnf(5800,plain,
    ( X1 = vd1185
    | X2 = vd1185
    | X2 = X1
    | rR(vd1185,X1,X2)
    | rR(X1,vd1185,X2)
    | rR(X2,X1,vd1185)
    | ~ rline(vd1197)
    | ~ rpoint(X1)
    | ~ rpoint(vd1185)
    | ~ rpoint(X2)
    | ~ ron(X1,vd1197)
    | ~ ron(X2,vd1197) ),
    inference(spm,[status(thm)],[1368,222,theory(equality)]) ).

cnf(5831,plain,
    ( X1 = vd1185
    | X2 = vd1185
    | X2 = X1
    | rR(vd1185,X1,X2)
    | rR(X1,vd1185,X2)
    | rR(X2,X1,vd1185)
    | $false
    | ~ rpoint(X1)
    | ~ rpoint(vd1185)
    | ~ rpoint(X2)
    | ~ ron(X1,vd1197)
    | ~ ron(X2,vd1197) ),
    inference(rw,[status(thm)],[5800,423,theory(equality)]) ).

cnf(5832,plain,
    ( X1 = vd1185
    | X2 = vd1185
    | X2 = X1
    | rR(vd1185,X1,X2)
    | rR(X1,vd1185,X2)
    | rR(X2,X1,vd1185)
    | $false
    | ~ rpoint(X1)
    | $false
    | ~ rpoint(X2)
    | ~ ron(X1,vd1197)
    | ~ ron(X2,vd1197) ),
    inference(rw,[status(thm)],[5831,837,theory(equality)]) ).

cnf(5833,plain,
    ( X1 = vd1185
    | X2 = vd1185
    | X2 = X1
    | rR(vd1185,X1,X2)
    | rR(X1,vd1185,X2)
    | rR(X2,X1,vd1185)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ ron(X1,vd1197)
    | ~ ron(X2,vd1197) ),
    inference(cn,[status(thm)],[5832,theory(equality)]) ).

cnf(80806,plain,
    ( X1 = vd1185
    | vd1199 = vd1185
    | X1 = vd1199
    | rR(X1,vd1199,vd1185)
    | rR(vd1199,vd1185,X1)
    | rR(vd1185,vd1199,X1)
    | ~ rpoint(vd1199)
    | ~ rpoint(X1)
    | ~ ron(X1,vd1197) ),
    inference(spm,[status(thm)],[5833,220,theory(equality)]) ).

cnf(80844,plain,
    ( X1 = vd1185
    | vd1199 = vd1185
    | X1 = vd1199
    | rR(X1,vd1199,vd1185)
    | rR(vd1199,vd1185,X1)
    | rR(vd1185,vd1199,X1)
    | $false
    | ~ rpoint(X1)
    | ~ ron(X1,vd1197) ),
    inference(rw,[status(thm)],[80806,841,theory(equality)]) ).

cnf(80845,plain,
    ( X1 = vd1185
    | vd1199 = vd1185
    | X1 = vd1199
    | rR(X1,vd1199,vd1185)
    | rR(vd1199,vd1185,X1)
    | rR(vd1185,vd1199,X1)
    | ~ rpoint(X1)
    | ~ ron(X1,vd1197) ),
    inference(cn,[status(thm)],[80844,theory(equality)]) ).

cnf(80846,plain,
    ( X1 = vd1185
    | X1 = vd1199
    | rR(X1,vd1199,vd1185)
    | rR(vd1199,vd1185,X1)
    | rR(vd1185,vd1199,X1)
    | ~ rpoint(X1)
    | ~ ron(X1,vd1197) ),
    inference(sr,[status(thm)],[80845,530,theory(equality)]) ).

cnf(83093,plain,
    ( vd1186 = vd1199
    | vd1186 = vd1185
    | rR(vd1185,vd1199,vd1186)
    | rR(vd1199,vd1185,vd1186)
    | rR(vd1186,vd1199,vd1185)
    | ~ rpoint(vd1186) ),
    inference(spm,[status(thm)],[80846,692,theory(equality)]) ).

cnf(83129,plain,
    ( vd1186 = vd1199
    | vd1186 = vd1185
    | rR(vd1185,vd1199,vd1186)
    | rR(vd1199,vd1185,vd1186)
    | rR(vd1186,vd1199,vd1185)
    | $false ),
    inference(rw,[status(thm)],[83093,836,theory(equality)]) ).

cnf(83130,plain,
    ( vd1186 = vd1199
    | vd1186 = vd1185
    | rR(vd1185,vd1199,vd1186)
    | rR(vd1199,vd1185,vd1186)
    | rR(vd1186,vd1199,vd1185) ),
    inference(cn,[status(thm)],[83129,theory(equality)]) ).

cnf(83131,plain,
    ( vd1186 = vd1199
    | vd1186 = vd1185
    | rR(vd1199,vd1185,vd1186)
    | rR(vd1186,vd1199,vd1185) ),
    inference(sr,[status(thm)],[83130,421,theory(equality)]) ).

cnf(83132,plain,
    ( vd1186 = vd1199
    | vd1186 = vd1185
    | rR(vd1186,vd1199,vd1185) ),
    inference(sr,[status(thm)],[83131,422,theory(equality)]) ).

cnf(83133,plain,
    ( vd1186 = vd1199
    | vd1186 = vd1185 ),
    inference(sr,[status(thm)],[83132,381,theory(equality)]) ).

cnf(83171,plain,
    ( vf(vd1185,vd1185) = vf(vd1199,vd1185)
    | vd1186 = vd1199 ),
    inference(spm,[status(thm)],[848,83133,theory(equality)]) ).

cnf(83185,plain,
    ( vd1186 = vd1199
    | vf(vd1199,vd1185) != v0 ),
    inference(spm,[status(thm)],[1983,83133,theory(equality)]) ).

cnf(84404,plain,
    ( vf(vd1199,vd1185) = v0
    | vd1186 = vd1199
    | ~ rpoint(vd1185) ),
    inference(spm,[status(thm)],[875,83171,theory(equality)]) ).

cnf(84496,plain,
    ( vf(vd1199,vd1185) = v0
    | vd1186 = vd1199
    | $false ),
    inference(rw,[status(thm)],[84404,837,theory(equality)]) ).

cnf(84497,plain,
    ( vf(vd1199,vd1185) = v0
    | vd1186 = vd1199 ),
    inference(cn,[status(thm)],[84496,theory(equality)]) ).

cnf(84700,plain,
    vd1186 = vd1199,
    inference(csr,[status(thm)],[84497,83185]) ).

cnf(84736,plain,
    vf(vd1199,vd1199) != v0,
    inference(rw,[status(thm)],[1983,84700,theory(equality)]) ).

cnf(88152,plain,
    ~ rpoint(vd1199),
    inference(spm,[status(thm)],[84736,875,theory(equality)]) ).

cnf(88155,plain,
    $false,
    inference(rw,[status(thm)],[88152,841,theory(equality)]) ).

cnf(88156,plain,
    $false,
    inference(cn,[status(thm)],[88155,theory(equality)]) ).

cnf(88157,plain,
    $false,
    88156,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO290+1.p
% --creating new selector for []
% -running prover on /tmp/tmpDL02be/sel_GEO290+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO290+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO290+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO290+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
% 
%------------------------------------------------------------------------------