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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GEO341+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:24:56 PM UTC 2026

% Result   : Theorem 25.79s 3.92s
% Output   : CNFRefutation 25.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  117 (  25 unt;   0 def)
%            Number of atoms       :  846 ( 229 equ)
%            Maximal formula atoms :   17 (   7 avg)
%            Number of connectives : 1345 ( 616   ~; 651   |;  72   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :  284 ( 265   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    vd1409 != vd1401,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    vf(vd1399,vd1401) = vf(vd1399,vd1409),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    rS(vd1401,vd1409,vd1406),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    rpoint(vd1409),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ( ? [Vd1403] :
        ( rpoint(Vd1403)
        & vd1399 = Vd1403 )
    & ? [Vd1404] :
        ( rpoint(Vd1404)
        & vd1400 = Vd1404 )
    & ? [Vd1405] :
        ( rpoint(Vd1405)
        & vd1401 = Vd1405 )
    & vd1399 != vd1400
    & vd1399 != vd1401
    & vd1400 != vd1401
    & rline(vd1407)
    & ron(vd1399,vd1406)
    & ron(vd1400,vd1406)
    & vd1406 = vd1407 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [Vd1271,Vd1272,Vd1273] :
      ( ( ? [Vd1275] :
            ( rpoint(Vd1275)
            & Vd1271 = Vd1275 )
        & ? [Vd1276] :
            ( rpoint(Vd1276)
            & Vd1272 = Vd1276 )
        & ? [Vd1277] :
            ( rpoint(Vd1277)
            & Vd1273 = Vd1277 )
        & Vd1271 != Vd1272
        & Vd1271 != Vd1273
        & Vd1272 != Vd1273
        & vf(Vd1271,Vd1272) = vf(Vd1271,Vd1273) )
     => ! [Vd1279,Vd1280,Vd1282,Vd1283] :
          ( ( rpoint(Vd1280)
            & rR(Vd1272,Vd1271,Vd1279)
            & rpoint(Vd1283)
            & rR(Vd1273,Vd1271,Vd1282)
            & Vd1282 = Vd1283
            & Vd1279 = Vd1280 )
         => vangle(Vd1271,Vd1272,Vd1273) = vangle(Vd1271,Vd1273,Vd1272) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [Vd434,Vd435,Vd439,Vd440] :
      ( ( ? [Vd437] :
            ( rpoint(Vd437)
            & Vd434 = Vd437 )
        & ? [Vd438] :
            ( rpoint(Vd438)
            & Vd435 = Vd438 )
        & rline(Vd440)
        & Vd439 = Vd440
        & rS(Vd434,Vd435,Vd439) )
     => ~ ron(Vd434,Vd439) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [Vd425,Vd426,Vd430,Vd431] :
      ( ( ? [Vd428] :
            ( rpoint(Vd428)
            & Vd425 = Vd428 )
        & ? [Vd429] :
            ( rpoint(Vd429)
            & Vd426 = Vd429 )
        & rline(Vd431)
        & Vd430 = Vd431
        & rS(Vd425,Vd426,Vd430) )
     => rS(Vd426,Vd425,Vd430) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [Vd217,Vd218] :
      ( ( ? [Vd220] :
            ( rpoint(Vd220)
            & Vd217 = Vd220 )
        & ? [Vd221] :
            ( rpoint(Vd221)
            & Vd218 = Vd221 )
        & Vd217 != Vd218 )
     => ? [Vd223] :
          ( rline(Vd223)
          & ron(Vd217,Vd223)
          & ron(Vd218,Vd223) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    ! [Vd127,Vd128,Vd129,Vd130] :
      ( ( rline(Vd128)
        & Vd127 = Vd128
        & ? [Vd132] :
            ( rpoint(Vd132)
            & Vd129 = Vd132 )
        & ? [Vd133] :
            ( rpoint(Vd133)
            & Vd130 = Vd133 )
        & ron(Vd129,Vd127)
        & ron(Vd130,Vd127)
        & Vd129 != Vd130 )
     => ? [Vd136] :
          ( rpoint(Vd136)
          & rR(Vd130,Vd129,Vd136) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f125,plain,
    vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f126,plain,
    vd1409 != vd1401,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f128,plain,
    vf(vd1399,vd1401) = vf(vd1399,vd1409),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f129,plain,
    rS(vd1401,vd1409,vd1406),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f130,plain,
    rpoint(vd1409),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f131,plain,
    ( rpoint(sK2_skl)
    & vd1399 = sK2_skl
    & rpoint(sK1_skl)
    & vd1400 = sK1_skl
    & rpoint(sK0_skl)
    & vd1401 = sK0_skl
    & vd1399 != vd1400
    & vd1399 != vd1401
    & vd1400 != vd1401
    & rline(vd1407)
    & ron(vd1399,vd1406)
    & ron(vd1400,vd1406)
    & vd1406 = vd1407 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Vd1405,sK0_skl),skolemize(Vd1404,sK1_skl),skolemize(Vd1403,sK2_skl)],[f8]) ).

fof(f132,plain,
    vd1406 = vd1407,
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f134,plain,
    ron(vd1399,vd1406),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f135,plain,
    rline(vd1407),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f137,plain,
    vd1399 != vd1401,
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f139,plain,
    vd1401 = sK0_skl,
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f140,plain,
    rpoint(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f143,plain,
    vd1399 = sK2_skl,
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f144,plain,
    rpoint(sK2_skl),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f150,plain,
    ! [Vd1271,Vd1272,Vd1273] :
      ( ! [Vd1279,Vd1280,Vd1282,Vd1283] :
          ( vangle(Vd1271,Vd1272,Vd1273) = vangle(Vd1271,Vd1273,Vd1272)
          | ~ rpoint(Vd1280)
          | ~ rR(Vd1272,Vd1271,Vd1279)
          | ~ rpoint(Vd1283)
          | ~ rR(Vd1273,Vd1271,Vd1282)
          | Vd1282 != Vd1283
          | Vd1279 != Vd1280 )
      | ! [Vd1275] :
          ( ~ rpoint(Vd1275)
          | Vd1271 != Vd1275 )
      | ! [Vd1276] :
          ( ~ rpoint(Vd1276)
          | Vd1272 != Vd1276 )
      | ! [Vd1277] :
          ( ~ rpoint(Vd1277)
          | Vd1273 != Vd1277 )
      | Vd1271 = Vd1272
      | Vd1271 = Vd1273
      | Vd1272 = Vd1273
      | vf(Vd1271,Vd1272) != vf(Vd1271,Vd1273) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f151,plain,
    ! [Vd1271,Vd1272,Vd1273] :
      ( vangle(Vd1271,Vd1272,Vd1273) = vangle(Vd1271,Vd1273,Vd1272)
      | ! [Vd1280] :
          ( ~ rpoint(Vd1280)
          | ! [Vd1279] :
              ( ~ rR(Vd1272,Vd1271,Vd1279)
              | ! [Vd1283] :
                  ( ~ rpoint(Vd1283)
                  | ! [Vd1282] :
                      ( ~ rR(Vd1273,Vd1271,Vd1282)
                      | Vd1282 != Vd1283
                      | Vd1279 != Vd1280 ) ) ) )
      | ! [Vd1275] :
          ( ~ rpoint(Vd1275)
          | Vd1271 != Vd1275 )
      | ! [Vd1276] :
          ( ~ rpoint(Vd1276)
          | Vd1272 != Vd1276 )
      | ! [Vd1277] :
          ( ~ rpoint(Vd1277)
          | Vd1273 != Vd1277 )
      | Vd1271 = Vd1272
      | Vd1271 = Vd1273
      | Vd1272 = Vd1273
      | vf(Vd1271,Vd1272) != vf(Vd1271,Vd1273) ),
    inference(miniscoping,[status(thm)],[f150]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( vangle(X0,X1,X2) = vangle(X0,X2,X1)
      | ~ rpoint(X7)
      | ~ rR(X1,X0,X6)
      | ~ rpoint(X9)
      | ~ rR(X2,X0,X8)
      | X8 != X9
      | X6 != X7
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X3)
      | X2 != X3
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | vf(X0,X1) != vf(X0,X2) ),
    inference(cnf_transformation,[status(thm)],[f151]) ).

fof(f212,plain,
    ! [Vd434,Vd435,Vd439,Vd440] :
      ( ~ ron(Vd434,Vd439)
      | ! [Vd437] :
          ( ~ rpoint(Vd437)
          | Vd434 != Vd437 )
      | ! [Vd438] :
          ( ~ rpoint(Vd438)
          | Vd435 != Vd438 )
      | ~ rline(Vd440)
      | Vd439 != Vd440
      | ~ rS(Vd434,Vd435,Vd439) ),
    inference(pre_NNF_transformation,[status(thm)],[f30]) ).

fof(f213,plain,
    ! [Vd434,Vd439] :
      ( ~ ron(Vd434,Vd439)
      | ! [Vd437] :
          ( ~ rpoint(Vd437)
          | Vd434 != Vd437 )
      | ! [Vd435] :
          ( ! [Vd438] :
              ( ~ rpoint(Vd438)
              | Vd435 != Vd438 )
          | ! [Vd440] :
              ( ~ rline(Vd440)
              | Vd439 != Vd440
              | ~ rS(Vd434,Vd435,Vd439) ) ) ),
    inference(miniscoping,[status(thm)],[f212]) ).

fof(f214,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f213]) ).

fof(f215,plain,
    ! [Vd425,Vd426,Vd430,Vd431] :
      ( rS(Vd426,Vd425,Vd430)
      | ! [Vd428] :
          ( ~ rpoint(Vd428)
          | Vd425 != Vd428 )
      | ! [Vd429] :
          ( ~ rpoint(Vd429)
          | Vd426 != Vd429 )
      | ~ rline(Vd431)
      | Vd430 != Vd431
      | ~ rS(Vd425,Vd426,Vd430) ),
    inference(pre_NNF_transformation,[status(thm)],[f31]) ).

fof(f216,plain,
    ! [Vd425,Vd426,Vd430] :
      ( rS(Vd426,Vd425,Vd430)
      | ! [Vd428] :
          ( ~ rpoint(Vd428)
          | Vd425 != Vd428 )
      | ! [Vd429] :
          ( ~ rpoint(Vd429)
          | Vd426 != Vd429 )
      | ! [Vd431] :
          ( ~ rline(Vd431)
          | Vd430 != Vd431
          | ~ rS(Vd425,Vd426,Vd430) ) ),
    inference(miniscoping,[status(thm)],[f215]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( rS(X1,X0,X2)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f216]) ).

fof(f229,plain,
    ! [Vd217,Vd218] :
      ( ? [Vd223] :
          ( rline(Vd223)
          & ron(Vd217,Vd223)
          & ron(Vd218,Vd223) )
      | ! [Vd220] :
          ( ~ rpoint(Vd220)
          | Vd217 != Vd220 )
      | ! [Vd221] :
          ( ~ rpoint(Vd221)
          | Vd218 != Vd221 )
      | Vd217 = Vd218 ),
    inference(pre_NNF_transformation,[status(thm)],[f35]) ).

fof(f230,plain,
    ! [Vd217,Vd218] :
      ( ( rline(sK7_skl(Vd218,Vd217))
        & ron(Vd217,sK7_skl(Vd218,Vd217))
        & ron(Vd218,sK7_skl(Vd218,Vd217)) )
      | ! [Vd220] :
          ( ~ rpoint(Vd220)
          | Vd217 != Vd220 )
      | ! [Vd221] :
          ( ~ rpoint(Vd221)
          | Vd218 != Vd221 )
      | Vd217 = Vd218 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Vd223,sK7_skl(Vd218,Vd217))],[f229]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3] :
      ( ron(X1,sK7_skl(X1,X0))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f230]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3] :
      ( ron(X0,sK7_skl(X1,X0))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f230]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3] :
      ( rline(sK7_skl(X1,X0))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f230]) ).

fof(f520,plain,
    ! [Vd127,Vd128,Vd129,Vd130] :
      ( ? [Vd136] :
          ( rpoint(Vd136)
          & rR(Vd130,Vd129,Vd136) )
      | ~ rline(Vd128)
      | Vd127 != Vd128
      | ! [Vd132] :
          ( ~ rpoint(Vd132)
          | Vd129 != Vd132 )
      | ! [Vd133] :
          ( ~ rpoint(Vd133)
          | Vd130 != Vd133 )
      | ~ ron(Vd129,Vd127)
      | ~ ron(Vd130,Vd127)
      | Vd129 = Vd130 ),
    inference(pre_NNF_transformation,[status(thm)],[f100]) ).

fof(f521,plain,
    ! [Vd129,Vd130] :
      ( ? [Vd136] :
          ( rpoint(Vd136)
          & rR(Vd130,Vd129,Vd136) )
      | ! [Vd128] :
          ( ~ rline(Vd128)
          | ! [Vd127] :
              ( Vd127 != Vd128
              | ! [Vd132] :
                  ( ~ rpoint(Vd132)
                  | Vd129 != Vd132 )
              | ! [Vd133] :
                  ( ~ rpoint(Vd133)
                  | Vd130 != Vd133 )
              | ~ ron(Vd129,Vd127)
              | ~ ron(Vd130,Vd127)
              | Vd129 = Vd130 ) ) ),
    inference(miniscoping,[status(thm)],[f520]) ).

fof(f522,plain,
    ! [Vd129,Vd130] :
      ( ( rpoint(sK38_skl(Vd130,Vd129))
        & rR(Vd130,Vd129,sK38_skl(Vd130,Vd129)) )
      | ! [Vd128] :
          ( ~ rline(Vd128)
          | ! [Vd127] :
              ( Vd127 != Vd128
              | ! [Vd132] :
                  ( ~ rpoint(Vd132)
                  | Vd129 != Vd132 )
              | ! [Vd133] :
                  ( ~ rpoint(Vd133)
                  | Vd130 != Vd133 )
              | ~ ron(Vd129,Vd127)
              | ~ ron(Vd130,Vd127)
              | Vd129 = Vd130 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl]),skolemize(Vd136,sK38_skl(Vd130,Vd129))],[f521]) ).

fof(f523,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( rR(X1,X0,sK38_skl(X1,X0))
      | ~ rline(X5)
      | X2 != X5
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X3)
      | X1 != X3
      | ~ ron(X0,X2)
      | ~ ron(X1,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f522]) ).

fof(f524,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( rpoint(sK38_skl(X1,X0))
      | ~ rline(X5)
      | X2 != X5
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X3)
      | X1 != X3
      | ~ ron(X0,X2)
      | ~ ron(X1,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f522]) ).

fof(f675,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vangle(X0,X1,X2) = vangle(X0,X2,X1)
      | ~ rpoint(X4)
      | ~ rR(X1,X0,X4)
      | ~ rpoint(X3)
      | ~ rR(X2,X0,X3)
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ rpoint(X2)
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | vf(X0,X1) != vf(X0,X2) ),
    inference(destructive_equality_resolution,[status(thm)],[f152]) ).

fof(f708,plain,
    ! [X0,X1,X2] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ rline(X2)
      | ~ rS(X0,X1,X2) ),
    inference(destructive_equality_resolution,[status(thm)],[f214]) ).

fof(f709,plain,
    ! [X0,X1,X2] :
      ( rS(X1,X0,X2)
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ rline(X2)
      | ~ rS(X0,X1,X2) ),
    inference(destructive_equality_resolution,[status(thm)],[f217]) ).

fof(f718,plain,
    ! [X0,X1] :
      ( ron(X1,sK7_skl(X1,X0))
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | X0 = X1 ),
    inference(destructive_equality_resolution,[status(thm)],[f231]) ).

fof(f719,plain,
    ! [X0,X1] :
      ( ron(X0,sK7_skl(X1,X0))
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | X0 = X1 ),
    inference(destructive_equality_resolution,[status(thm)],[f232]) ).

fof(f720,plain,
    ! [X0,X1] :
      ( rline(sK7_skl(X1,X0))
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | X0 = X1 ),
    inference(destructive_equality_resolution,[status(thm)],[f233]) ).

fof(f845,plain,
    ! [X0,X1,X2] :
      ( rR(X1,X0,sK38_skl(X1,X0))
      | ~ rline(X2)
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ ron(X0,X2)
      | ~ ron(X1,X2)
      | X0 = X1 ),
    inference(destructive_equality_resolution,[status(thm)],[f523]) ).

fof(f846,plain,
    ! [X0,X1,X2] :
      ( rpoint(sK38_skl(X1,X0))
      | ~ rline(X2)
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | ~ ron(X0,X2)
      | ~ ron(X1,X2)
      | X0 = X1 ),
    inference(destructive_equality_resolution,[status(thm)],[f524]) ).

fof(f914,plain,
    rline(vd1406),
    inference(forward_demodulation,[status(thm)],[f132,f135]) ).

fof(f915,plain,
    rpoint(vd1401),
    inference(forward_demodulation,[status(thm)],[f139,f140]) ).

fof(f917,plain,
    rpoint(vd1399),
    inference(forward_demodulation,[status(thm)],[f143,f144]) ).

fof(f925,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(X0)
      | ~ rR(vd1409,vd1399,X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ rpoint(vd1409)
      | vd1399 = vd1401
      | vd1399 = vd1409
      | vd1401 = vd1409
      | vf(vd1399,vd1401) != vf(vd1399,vd1409) ),
    inference(resolution,[status(thm)],[f675,f125]) ).

fof(f929,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(X0)
      | ~ rR(vd1409,vd1399,X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ rpoint(vd1409)
      | vd1399 = vd1401
      | vd1399 = vd1409
      | vd1401 = vd1409
      | vf(vd1399,vd1401) != vf(vd1399,vd1401) ),
    inference(forward_demodulation,[status(thm)],[f128,f925]) ).

fof(f930,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(X0)
      | ~ rR(vd1409,vd1399,X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ rpoint(vd1409)
      | vd1399 = vd1401
      | vd1399 = vd1409
      | vd1401 = vd1409 ),
    inference(trivial_equality_resolution,[status(thm)],[f929]) ).

fof(f931,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(X0)
      | ~ rR(vd1409,vd1399,X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ rpoint(vd1409)
      | vd1399 = vd1401
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f930,f126]) ).

fof(f949,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(X0)
      | ~ rR(vd1409,vd1399,X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ rpoint(vd1409)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f931,f137]) ).

fof(f1256,plain,
    ( rS(vd1409,vd1401,vd1406)
    | ~ rpoint(vd1401)
    | ~ rpoint(vd1409)
    | ~ rline(vd1406) ),
    inference(resolution,[status(thm)],[f709,f129]) ).

fof(f1260,plain,
    ( rS(vd1409,vd1401,vd1406)
    | ~ rpoint(vd1401)
    | ~ rpoint(vd1409) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1256,f914]) ).

fof(f1262,plain,
    ( rS(vd1409,vd1401,vd1406)
    | ~ rpoint(vd1401) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1260,f130]) ).

fof(f1264,plain,
    ( ~ ron(vd1409,vd1406)
    | ~ rpoint(vd1409)
    | ~ rpoint(vd1401)
    | ~ rline(vd1406)
    | ~ rpoint(vd1401) ),
    inference(resolution,[status(thm)],[f1262,f708]) ).

fof(f1266,plain,
    ( ~ ron(vd1409,vd1406)
    | ~ rpoint(vd1409)
    | ~ rline(vd1406)
    | ~ rpoint(vd1401) ),
    inference(duplicate_literals_removal,[status(thm)],[f1264]) ).

fof(f1267,plain,
    ( ~ ron(vd1409,vd1406)
    | ~ rpoint(vd1409)
    | ~ rline(vd1406) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1266,f915]) ).

fof(f1268,plain,
    ( ~ ron(vd1409,vd1406)
    | ~ rpoint(vd1409) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1267,f914]) ).

fof(f1906,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ rpoint(vd1409)
      | vd1399 = vd1409
      | ~ rline(X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1409)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f845,f949]) ).

fof(f1918,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rpoint(vd1401)
      | ~ rline(X0)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1409)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f1906]) ).

fof(f1919,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rpoint(vd1401)
      | ~ rline(X0)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1918,f130]) ).

fof(f2090,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rR(vd1401,vd1399,X1)
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rpoint(vd1401)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1919,f917]) ).

fof(f2091,plain,
    ! [X0,X1] :
      ( ~ rline(X1)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | vd1399 = vd1401
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rpoint(vd1401)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f2090,f845]) ).

fof(f2092,plain,
    ! [X0,X1] :
      ( ~ rline(X1)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | vd1399 = vd1401
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rpoint(vd1401)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f2091]) ).

fof(f2093,plain,
    ! [X0,X1] :
      ( ~ rline(X1)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | vd1399 = vd1401
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2092,f915]) ).

fof(f2094,plain,
    ! [X0,X1] :
      ( ~ rline(X1)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rpoint(sK38_skl(vd1409,vd1399))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2093,f137]) ).

fof(f2095,plain,
    ! [X0,X1,X2] :
      ( ~ rline(X2)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1409)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | vd1399 = vd1409
      | ~ rline(X1)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f2094,f846]) ).

fof(f2096,plain,
    ! [X0,X1,X2] :
      ( ~ rline(X2)
      | ~ rpoint(vd1409)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | ~ rline(X1)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f2095]) ).

fof(f2097,plain,
    ! [X0,X1,X2] :
      ( ~ rline(X2)
      | ~ rpoint(vd1409)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2096,f917]) ).

fof(f2098,plain,
    ! [X0,X1,X2] :
      ( ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rpoint(sK38_skl(vd1401,vd1399))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2097,f130]) ).

fof(f2099,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rline(X3)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ ron(vd1399,X3)
      | ~ ron(vd1401,X3)
      | vd1399 = vd1401
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f2098,f846]) ).

fof(f2100,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rline(X3)
      | ~ rpoint(vd1399)
      | ~ rpoint(vd1401)
      | ~ ron(vd1399,X3)
      | ~ ron(vd1401,X3)
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2099,f137]) ).

fof(f2101,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rline(X3)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X3)
      | ~ ron(vd1401,X3)
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1409,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2100,f915]) ).

fof(f2111,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(X2)
      | vd1409 = X2
      | ~ rline(X3)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X3)
      | ~ ron(vd1401,X3)
      | ~ rline(sK7_skl(X2,vd1409))
      | ~ ron(vd1399,sK7_skl(X2,vd1409))
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f2101,f719]) ).

fof(f2128,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(X2)
      | vd1409 = X2
      | ~ rline(X3)
      | ~ rpoint(vd1399)
      | ~ ron(vd1399,X3)
      | ~ ron(vd1401,X3)
      | ~ ron(vd1399,sK7_skl(X2,vd1409))
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2111,f720]) ).

fof(f2790,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(X2)
      | vd1409 = X2
      | ~ rline(X3)
      | ~ ron(vd1399,X3)
      | ~ ron(vd1401,X3)
      | ~ ron(vd1399,sK7_skl(X2,vd1409))
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2128,f917]) ).

fof(f2791,plain,
    ! [X0,X1,X2] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(vd1399)
      | vd1409 = vd1399
      | ~ rpoint(vd1409)
      | ~ rpoint(vd1399)
      | vd1409 = vd1399
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f2790,f718]) ).

fof(f2792,plain,
    ! [X0,X1,X2] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(vd1399)
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f2791]) ).

fof(f2793,plain,
    ! [X0,X1,X2] :
      ( ~ rpoint(vd1409)
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2792,f917]) ).

fof(f2794,plain,
    ! [X0,X1,X2] :
      ( ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1409,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2793,f130]) ).

fof(f2804,plain,
    ! [X0,X1,X2] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(X0)
      | vd1409 = X0
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(sK7_skl(X0,vd1409))
      | ~ ron(vd1399,sK7_skl(X0,vd1409))
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f2794,f719]) ).

fof(f2818,plain,
    ! [X0,X1,X2] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(X0)
      | vd1409 = X0
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ ron(vd1399,sK7_skl(X0,vd1409))
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2804,f720]) ).

fof(f5353,plain,
    ! [X0,X1,X2] :
      ( ~ rpoint(X0)
      | vd1409 = X0
      | ~ rline(X2)
      | ~ ron(vd1399,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ ron(vd1399,sK7_skl(X0,vd1409))
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2818,f130]) ).

fof(f5354,plain,
    ! [X0,X1] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(vd1399)
      | vd1409 = vd1399
      | ~ rpoint(vd1399)
      | vd1409 = vd1399
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f5353,f718]) ).

fof(f5355,plain,
    ! [X0,X1] :
      ( ~ rpoint(vd1409)
      | ~ rpoint(vd1399)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f5354]) ).

fof(f5356,plain,
    ! [X0,X1] :
      ( ~ rpoint(vd1409)
      | ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5355,f917]) ).

fof(f5357,plain,
    ! [X0,X1] :
      ( ~ rline(X1)
      | ~ ron(vd1399,X1)
      | ~ ron(vd1401,X1)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5356,f130]) ).

fof(f5365,plain,
    ! [X0,X1] :
      ( ~ rpoint(vd1401)
      | ~ rpoint(X1)
      | vd1401 = X1
      | ~ rline(sK7_skl(X1,vd1401))
      | ~ ron(vd1399,sK7_skl(X1,vd1401))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f5357,f719]) ).

fof(f5377,plain,
    ! [X0,X1] :
      ( ~ rpoint(vd1401)
      | ~ rpoint(X1)
      | vd1401 = X1
      | ~ ron(vd1399,sK7_skl(X1,vd1401))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5365,f720]) ).

fof(f5818,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | vd1401 = X1
      | ~ ron(vd1399,sK7_skl(X1,vd1401))
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5377,f915]) ).

fof(f5819,plain,
    ! [X0] :
      ( ~ rpoint(vd1401)
      | ~ rpoint(vd1399)
      | vd1401 = vd1399
      | ~ rpoint(vd1399)
      | vd1401 = vd1399
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f5818,f718]) ).

fof(f5820,plain,
    ! [X0] :
      ( ~ rpoint(vd1401)
      | ~ rpoint(vd1399)
      | vd1401 = vd1399
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f5819]) ).

fof(f5821,plain,
    ! [X0] :
      ( ~ rpoint(vd1401)
      | ~ rpoint(vd1399)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5820,f137]) ).

fof(f5822,plain,
    ! [X0] :
      ( ~ rpoint(vd1401)
      | ~ rline(X0)
      | ~ ron(vd1399,X0)
      | ~ ron(vd1401,X0)
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5821,f917]) ).

fof(f5830,plain,
    ! [X0] :
      ( ~ rpoint(vd1401)
      | ~ rpoint(X0)
      | vd1401 = X0
      | ~ rpoint(vd1401)
      | ~ rline(sK7_skl(X0,vd1401))
      | ~ ron(vd1399,sK7_skl(X0,vd1401))
      | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f5822,f719]) ).

fof(f5845,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vd1401 = X0
      | ~ rpoint(vd1401)
      | ~ rline(sK7_skl(X0,vd1401))
      | ~ ron(vd1399,sK7_skl(X0,vd1401))
      | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f5830]) ).

fof(f5846,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vd1401 = X0
      | ~ rpoint(vd1401)
      | ~ ron(vd1399,sK7_skl(X0,vd1401))
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5845,f720]) ).

fof(f5849,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vd1401 = X0
      | ~ ron(vd1399,sK7_skl(X0,vd1401))
      | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5846,f915]) ).

fof(f5850,plain,
    ( ~ rpoint(vd1401)
    | ~ rpoint(vd1399)
    | vd1401 = vd1399
    | ~ rpoint(vd1399)
    | vd1401 = vd1399
    | vd1399 = vd1409 ),
    inference(resolution,[status(thm)],[f5849,f718]) ).

fof(f5851,plain,
    ( ~ rpoint(vd1401)
    | ~ rpoint(vd1399)
    | vd1401 = vd1399
    | vd1399 = vd1409 ),
    inference(duplicate_literals_removal,[status(thm)],[f5850]) ).

fof(f5852,plain,
    ( ~ rpoint(vd1401)
    | ~ rpoint(vd1399)
    | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5851,f137]) ).

fof(f5853,plain,
    ( ~ rpoint(vd1401)
    | vd1399 = vd1409 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5852,f917]) ).

fof(f5854,plain,
    vd1399 = vd1409,
    inference(resolution,[status(thm)],[f5853,f915]) ).

fof(f6016,plain,
    ( ~ ron(vd1399,vd1406)
    | ~ rpoint(vd1409) ),
    inference(backward_demodulation,[status(thm)],[f5854,f1268]) ).

fof(f6131,plain,
    ( ~ ron(vd1399,vd1406)
    | ~ rpoint(vd1399) ),
    inference(forward_demodulation,[status(thm)],[f5854,f6016]) ).

fof(f6132,plain,
    ~ ron(vd1399,vd1406),
    inference(forward_subsumption_resolution,[status(thm)],[f6131,f917]) ).

fof(f6182,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6132,f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO341+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 15:31:06 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.15/0.42  % Drodi V4.1.1
% 25.79/3.92  % Refutation found
% 25.79/3.92  % SZS status Theorem for theBenchmark: Theorem is valid
% 25.79/3.92  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.79/3.95  % Elapsed time: 3.555285 seconds
% 25.79/3.95  % CPU time: 27.755424 seconds
% 25.79/3.95  % Total memory used: 226.288 MB
% 25.79/3.95  % Net memory used: 212.825 MB
%------------------------------------------------------------------------------