TSTP Solution File: GEO297+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO297+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 09:23:09 EST 2010

% Result   : Theorem 0.74s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   77 (  34 unt;   0 def)
%            Number of atoms       :  467 ( 188 equ)
%            Maximal formula atoms :   43 (   6 avg)
%            Number of connectives :  627 ( 237   ~; 246   |; 138   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-3 aty)
%            Number of variables   :  148 (   0 sgn  70   !;  25   ?)

% 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/tmpkS71p-/sel_GEO297+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(7,axiom,
    ron(vd1185,vd1232),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','pred(s1(plural(293)), 0)') ).

fof(8,axiom,
    vangle(vd1187,vd1185,vd1201) = v0,
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','holds(310, 1246, 0)') ).

fof(9,axiom,
    ~ ron(vd1187,vd1197),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','neg(neg(270))') ).

fof(11,axiom,
    rS(vd1201,vd1187,vd1197),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).

fof(12,axiom,
    ron(vd1185,vd1197),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','pred(s1(plural(269)), 0)') ).

fof(30,axiom,
    ron(vd1187,vd1232),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','pred(311, 0)') ).

fof(44,axiom,
    rline(vd1197),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','pred(269, 0)') ).

fof(48,axiom,
    ! [X293,X294,X295,X296] :
      ( ( rS(X293,X294,X295)
        & X295 = X296
        & rline(X296)
        & ? [X297] :
            ( X294 = X297
            & rpoint(X297) )
        & ? [X298] :
            ( X293 = X298
            & rpoint(X298) ) )
     => ~ ron(X293,X295) ),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof(52,axiom,
    ! [X316,X317,X318,X319,X320,X321,X322,X323] :
      ( ( ron(X318,X322)
        & ron(X316,X322)
        & X316 != X320
        & X316 != X318
        & X322 = X323
        & rline(X323)
        & X320 = X321
        & rpoint(X321)
        & X318 = X319
        & rpoint(X319)
        & X316 = X317
        & rpoint(X317) )
     => ( ( ~ rR(X316,X318,X320)
          & ron(X320,X322) )
      <=> vangle(X318,X316,X320) = v0 ) ),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

fof(105,axiom,
    rline(vd1232),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','pred(293, 0)') ).

fof(121,axiom,
    ~ ron(vd1201,vd1232),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','neg(neg(296))') ).

fof(122,axiom,
    ? [X632] :
      ( vd1201 = X632
      & rpoint(X632) ),
    file('/tmp/tmpkS71p-/sel_GEO297+1.p_1','qe(s3(plural(271)))') ).

fof(151,plain,
    ~ ron(vd1187,vd1197),
    inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).

fof(161,plain,
    ! [X293,X294,X295,X296] :
      ( ( rS(X293,X294,X295)
        & X295 = X296
        & rline(X296)
        & ? [X297] :
            ( X294 = X297
            & rpoint(X297) )
        & ? [X298] :
            ( X293 = X298
            & rpoint(X298) ) )
     => ~ ron(X293,X295) ),
    inference(fof_simplification,[status(thm)],[48,theory(equality)]) ).

fof(163,plain,
    ! [X316,X317,X318,X319,X320,X321,X322,X323] :
      ( ( ron(X318,X322)
        & ron(X316,X322)
        & X316 != X320
        & X316 != X318
        & X322 = X323
        & rline(X323)
        & X320 = X321
        & rpoint(X321)
        & X318 = X319
        & rpoint(X319)
        & X316 = X317
        & rpoint(X317) )
     => ( ( ~ rR(X316,X318,X320)
          & ron(X320,X322) )
      <=> vangle(X318,X316,X320) = v0 ) ),
    inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).

fof(176,plain,
    ~ ron(vd1201,vd1232),
    inference(fof_simplification,[status(thm)],[121,theory(equality)]) ).

fof(216,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(217,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)],[216]) ).

fof(218,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)],[217]) ).

fof(219,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)],[218]) ).

cnf(229,plain,
    rpoint(esk6_0),
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(230,plain,
    vd1185 = esk6_0,
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(233,plain,
    rpoint(esk4_0),
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(234,plain,
    vd1187 = esk4_0,
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(239,plain,
    ron(vd1185,vd1232),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(240,plain,
    vangle(vd1187,vd1185,vd1201) = v0,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(241,plain,
    ~ ron(vd1187,vd1197),
    inference(split_conjunct,[status(thm)],[151]) ).

cnf(243,plain,
    rS(vd1201,vd1187,vd1197),
    inference(split_conjunct,[status(thm)],[11]) ).

cnf(244,plain,
    ron(vd1185,vd1197),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(326,plain,
    ron(vd1187,vd1232),
    inference(split_conjunct,[status(thm)],[30]) ).

cnf(436,plain,
    rline(vd1197),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(450,plain,
    ! [X293,X294,X295,X296] :
      ( ~ rS(X293,X294,X295)
      | X295 != X296
      | ~ rline(X296)
      | ! [X297] :
          ( X294 != X297
          | ~ rpoint(X297) )
      | ! [X298] :
          ( X293 != X298
          | ~ rpoint(X298) )
      | ~ ron(X293,X295) ),
    inference(fof_nnf,[status(thm)],[161]) ).

fof(451,plain,
    ! [X299,X300,X301,X302] :
      ( ~ rS(X299,X300,X301)
      | X301 != X302
      | ~ rline(X302)
      | ! [X303] :
          ( X300 != X303
          | ~ rpoint(X303) )
      | ! [X304] :
          ( X299 != X304
          | ~ rpoint(X304) )
      | ~ ron(X299,X301) ),
    inference(variable_rename,[status(thm)],[450]) ).

fof(452,plain,
    ! [X299,X300,X301,X302,X303,X304] :
      ( X299 != X304
      | ~ rpoint(X304)
      | X300 != X303
      | ~ rpoint(X303)
      | ~ rS(X299,X300,X301)
      | X301 != X302
      | ~ rline(X302)
      | ~ ron(X299,X301) ),
    inference(shift_quantors,[status(thm)],[451]) ).

cnf(453,plain,
    ( ~ ron(X1,X2)
    | ~ rline(X3)
    | X2 != X3
    | ~ rS(X1,X4,X2)
    | ~ rpoint(X5)
    | X4 != X5
    | ~ rpoint(X6)
    | X1 != X6 ),
    inference(split_conjunct,[status(thm)],[452]) ).

fof(468,plain,
    ! [X316,X317,X318,X319,X320,X321,X322,X323] :
      ( ~ ron(X318,X322)
      | ~ ron(X316,X322)
      | X316 = X320
      | X316 = X318
      | X322 != X323
      | ~ rline(X323)
      | X320 != X321
      | ~ rpoint(X321)
      | X318 != X319
      | ~ rpoint(X319)
      | X316 != X317
      | ~ rpoint(X317)
      | ( ( rR(X316,X318,X320)
          | ~ ron(X320,X322)
          | vangle(X318,X316,X320) = v0 )
        & ( vangle(X318,X316,X320) != v0
          | ( ~ rR(X316,X318,X320)
            & ron(X320,X322) ) ) ) ),
    inference(fof_nnf,[status(thm)],[163]) ).

fof(469,plain,
    ! [X324,X325,X326,X327,X328,X329,X330,X331] :
      ( ~ ron(X326,X330)
      | ~ ron(X324,X330)
      | X324 = X328
      | X324 = X326
      | X330 != X331
      | ~ rline(X331)
      | X328 != X329
      | ~ rpoint(X329)
      | X326 != X327
      | ~ rpoint(X327)
      | X324 != X325
      | ~ rpoint(X325)
      | ( ( rR(X324,X326,X328)
          | ~ ron(X328,X330)
          | vangle(X326,X324,X328) = v0 )
        & ( vangle(X326,X324,X328) != v0
          | ( ~ rR(X324,X326,X328)
            & ron(X328,X330) ) ) ) ),
    inference(variable_rename,[status(thm)],[468]) ).

fof(470,plain,
    ! [X324,X325,X326,X327,X328,X329,X330,X331] :
      ( ( rR(X324,X326,X328)
        | ~ ron(X328,X330)
        | vangle(X326,X324,X328) = v0
        | ~ ron(X326,X330)
        | ~ ron(X324,X330)
        | X324 = X328
        | X324 = X326
        | X330 != X331
        | ~ rline(X331)
        | X328 != X329
        | ~ rpoint(X329)
        | X326 != X327
        | ~ rpoint(X327)
        | X324 != X325
        | ~ rpoint(X325) )
      & ( ~ rR(X324,X326,X328)
        | vangle(X326,X324,X328) != v0
        | ~ ron(X326,X330)
        | ~ ron(X324,X330)
        | X324 = X328
        | X324 = X326
        | X330 != X331
        | ~ rline(X331)
        | X328 != X329
        | ~ rpoint(X329)
        | X326 != X327
        | ~ rpoint(X327)
        | X324 != X325
        | ~ rpoint(X325) )
      & ( ron(X328,X330)
        | vangle(X326,X324,X328) != v0
        | ~ ron(X326,X330)
        | ~ ron(X324,X330)
        | X324 = X328
        | X324 = X326
        | X330 != X331
        | ~ rline(X331)
        | X328 != X329
        | ~ rpoint(X329)
        | X326 != X327
        | ~ rpoint(X327)
        | X324 != X325
        | ~ rpoint(X325) ) ),
    inference(distribute,[status(thm)],[469]) ).

cnf(471,plain,
    ( X2 = X4
    | X2 = X6
    | ron(X6,X8)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rline(X7)
    | X8 != X7
    | ~ ron(X2,X8)
    | ~ ron(X4,X8)
    | vangle(X4,X2,X6) != v0 ),
    inference(split_conjunct,[status(thm)],[470]) ).

cnf(713,plain,
    rline(vd1232),
    inference(split_conjunct,[status(thm)],[105]) ).

cnf(770,plain,
    ~ ron(vd1201,vd1232),
    inference(split_conjunct,[status(thm)],[176]) ).

fof(771,plain,
    ? [X633] :
      ( vd1201 = X633
      & rpoint(X633) ),
    inference(variable_rename,[status(thm)],[122]) ).

fof(772,plain,
    ( vd1201 = esk53_0
    & rpoint(esk53_0) ),
    inference(skolemize,[status(esa)],[771]) ).

cnf(773,plain,
    rpoint(esk53_0),
    inference(split_conjunct,[status(thm)],[772]) ).

cnf(774,plain,
    vd1201 = esk53_0,
    inference(split_conjunct,[status(thm)],[772]) ).

cnf(872,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[233,234,theory(equality)]) ).

cnf(874,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[229,230,theory(equality)]) ).

cnf(880,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[773,774,theory(equality)]) ).

cnf(1118,plain,
    ( X1 != X2
    | X3 != X4
    | ~ rS(X3,X5,X1)
    | ~ rline(X2)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | ~ ron(X3,X1) ),
    inference(er,[status(thm)],[453,theory(equality)]) ).

cnf(1119,plain,
    ( X1 != X2
    | ~ rS(X1,X3,X4)
    | ~ rline(X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[1118,theory(equality)]) ).

cnf(1120,plain,
    ( ~ rS(X1,X2,X3)
    | ~ rline(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ ron(X1,X3) ),
    inference(er,[status(thm)],[1119,theory(equality)]) ).

cnf(1290,plain,
    ( X1 = X2
    | X1 = X3
    | ron(X3,X4)
    | vangle(X2,X1,X3) != v0
    | X5 != X3
    | X6 != X2
    | X7 != X1
    | ~ rline(X4)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X7)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[471,theory(equality)]) ).

cnf(1291,plain,
    ( X1 = X2
    | X1 = X3
    | ron(X3,X4)
    | vangle(X2,X1,X3) != v0
    | X5 != X2
    | X6 != X1
    | ~ rline(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[1290,theory(equality)]) ).

cnf(1292,plain,
    ( X1 = X2
    | X1 = X3
    | ron(X3,X4)
    | vangle(X2,X1,X3) != v0
    | X5 != X1
    | ~ rline(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X5)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[1291,theory(equality)]) ).

cnf(1293,plain,
    ( X1 = X2
    | X1 = X3
    | ron(X3,X4)
    | vangle(X2,X1,X3) != v0
    | ~ rline(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[1292,theory(equality)]) ).

cnf(2081,plain,
    ( ~ rline(vd1197)
    | ~ rpoint(vd1201)
    | ~ rpoint(vd1187)
    | ~ ron(vd1201,vd1197) ),
    inference(spm,[status(thm)],[1120,243,theory(equality)]) ).

cnf(2087,plain,
    ( $false
    | ~ rpoint(vd1201)
    | ~ rpoint(vd1187)
    | ~ ron(vd1201,vd1197) ),
    inference(rw,[status(thm)],[2081,436,theory(equality)]) ).

cnf(2088,plain,
    ( $false
    | $false
    | ~ rpoint(vd1187)
    | ~ ron(vd1201,vd1197) ),
    inference(rw,[status(thm)],[2087,880,theory(equality)]) ).

cnf(2089,plain,
    ( $false
    | $false
    | $false
    | ~ ron(vd1201,vd1197) ),
    inference(rw,[status(thm)],[2088,872,theory(equality)]) ).

cnf(2090,plain,
    ~ ron(vd1201,vd1197),
    inference(cn,[status(thm)],[2089,theory(equality)]) ).

cnf(5743,plain,
    ( vd1185 = vd1201
    | vd1185 = vd1187
    | ron(vd1201,X1)
    | ~ rline(X1)
    | ~ rpoint(vd1201)
    | ~ rpoint(vd1187)
    | ~ rpoint(vd1185)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1) ),
    inference(spm,[status(thm)],[1293,240,theory(equality)]) ).

cnf(5754,plain,
    ( vd1185 = vd1201
    | vd1185 = vd1187
    | ron(vd1201,X1)
    | ~ rline(X1)
    | $false
    | ~ rpoint(vd1187)
    | ~ rpoint(vd1185)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1) ),
    inference(rw,[status(thm)],[5743,880,theory(equality)]) ).

cnf(5755,plain,
    ( vd1185 = vd1201
    | vd1185 = vd1187
    | ron(vd1201,X1)
    | ~ rline(X1)
    | $false
    | $false
    | ~ rpoint(vd1185)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1) ),
    inference(rw,[status(thm)],[5754,872,theory(equality)]) ).

cnf(5756,plain,
    ( vd1185 = vd1201
    | vd1185 = vd1187
    | ron(vd1201,X1)
    | ~ rline(X1)
    | $false
    | $false
    | $false
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1) ),
    inference(rw,[status(thm)],[5755,874,theory(equality)]) ).

cnf(5757,plain,
    ( vd1185 = vd1201
    | vd1185 = vd1187
    | ron(vd1201,X1)
    | ~ rline(X1)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1) ),
    inference(cn,[status(thm)],[5756,theory(equality)]) ).

cnf(6086,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185
    | ron(vd1201,vd1232)
    | ~ ron(vd1187,vd1232)
    | ~ ron(vd1185,vd1232) ),
    inference(spm,[status(thm)],[5757,713,theory(equality)]) ).

cnf(6090,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185
    | ron(vd1201,vd1232)
    | $false
    | ~ ron(vd1185,vd1232) ),
    inference(rw,[status(thm)],[6086,326,theory(equality)]) ).

cnf(6091,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185
    | ron(vd1201,vd1232)
    | $false
    | $false ),
    inference(rw,[status(thm)],[6090,239,theory(equality)]) ).

cnf(6092,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185
    | ron(vd1201,vd1232) ),
    inference(cn,[status(thm)],[6091,theory(equality)]) ).

cnf(6093,plain,
    ( vd1187 = vd1185
    | vd1201 = vd1185 ),
    inference(sr,[status(thm)],[6092,770,theory(equality)]) ).

cnf(6111,plain,
    ( vd1201 = vd1185
    | ~ ron(vd1185,vd1197) ),
    inference(spm,[status(thm)],[241,6093,theory(equality)]) ).

cnf(6128,plain,
    ( vd1201 = vd1185
    | $false ),
    inference(rw,[status(thm)],[6111,244,theory(equality)]) ).

cnf(6129,plain,
    vd1201 = vd1185,
    inference(cn,[status(thm)],[6128,theory(equality)]) ).

cnf(6175,plain,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[2090,6129,theory(equality)]),244,theory(equality)]) ).

cnf(6176,plain,
    $false,
    inference(cn,[status(thm)],[6175,theory(equality)]) ).

cnf(6177,plain,
    $false,
    6176,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO297+1.p
% --creating new selector for []
% -running prover on /tmp/tmpkS71p-/sel_GEO297+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO297+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO297+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO297+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
% 
%------------------------------------------------------------------------------