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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GEO285+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 12:24:50 PM UTC 2026

% Result   : Theorem 209.77s 26.95s
% Output   : CNFRefutation 98.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   95 (  38 unt;   0 def)
%            Number of atoms       :  278 (  94 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  323 ( 140   ~; 129   |;  46   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :  124 ( 110   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ rinside(vd1125,vd1152),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ~ rinside(vd1125,vd1152),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ( ron(vd1123,vd1151)
    & ron(vd1125,vd1151)
    & rcircle(vd1152)
    & rcenter(vd1123,vd1152)
    & ron(vd1127,vd1152) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    vd1123 = vd1129,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ( rpoint(vd1124)
    & vd1123 = vd1124
    & rpoint(vd1126)
    & vd1125 = vd1126
    & rpoint(vd1128)
    & vd1127 = vd1128
    & rpoint(vd1130)
    & vd1129 = vd1130
    & vd1123 != vd1125
    & vd1127 != vd1129
    & rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [Vd1,Vd2] :
      ( rcenter(Vd1,Vd2)
     => ? [Vd3,Vd4] :
          ( rpoint(Vd3)
          & Vd1 = Vd3
          & rcircle(Vd4)
          & Vd2 = Vd4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [Vd854,Vd855,Vd859,Vd860] :
      ( ( ? [Vd857] :
            ( rpoint(Vd857)
            & Vd854 = Vd857 )
        & ? [Vd858] :
            ( rpoint(Vd858)
            & Vd855 = Vd858 )
        & rcenter(Vd859,Vd860)
        & ron(Vd855,Vd860) )
     => ( rless(vf(Vd859,Vd854),vf(Vd859,Vd855))
      <=> rinside(Vd854,Vd860) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [Vd741,Vd742] :
      ( ( ? [Vd744] :
            ( rpoint(Vd744)
            & Vd741 = Vd744 )
        & ? [Vd745] :
            ( rpoint(Vd745)
            & Vd742 = Vd745 ) )
     => ? [Vd747] :
          ( rreal(Vd747)
          & vf(Vd741,Vd742) = Vd747 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [Vd713,Vd714] :
      ( ( rreal(Vd714)
        & Vd713 = Vd714 )
     => ~ rless(Vd713,Vd713) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [Vd706,Vd707,Vd708,Vd709] :
      ( ( rreal(Vd707)
        & Vd706 = Vd707
        & rreal(Vd709)
        & Vd708 = Vd709
        & rless(Vd706,Vd708) )
     => ( Vd706 = Vd708
        | ~ rless(Vd708,Vd706) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f125,axiom,
    ! [Vd761,Vd762] :
      ( ( ? [Vd764] :
            ( rpoint(Vd764)
            & Vd761 = Vd764 )
        & ? [Vd765] :
            ( rpoint(Vd765)
            & Vd762 = Vd765 ) )
     => vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f135,plain,
    rinside(vd1125,vd1152),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f136,plain,
    ron(vd1127,vd1152),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f137,plain,
    rcenter(vd1123,vd1152),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f142,plain,
    vd1123 = vd1129,
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f165,plain,
    rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f168,plain,
    vd1130 = vd1129,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f170,plain,
    vd1128 = vd1127,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f171,plain,
    rpoint(vd1128),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f172,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f173,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f174,plain,
    vd1124 = vd1123,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f175,plain,
    rpoint(vd1124),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f186,plain,
    ! [Vd1,Vd2] :
      ( ? [Vd3,Vd4] :
          ( rpoint(Vd3)
          & Vd1 = Vd3
          & rcircle(Vd4)
          & Vd2 = Vd4 )
      | ~ rcenter(Vd1,Vd2) ),
    inference(pre_NNF_transformation,[status(thm)],[f18]) ).

fof(f187,plain,
    ! [Vd1,Vd2] :
      ( ? [Vd3] :
          ( rpoint(Vd3)
          & Vd1 = Vd3
          & ? [Vd4] :
              ( rcircle(Vd4)
              & Vd2 = Vd4 ) )
      | ~ rcenter(Vd1,Vd2) ),
    inference(miniscoping,[status(thm)],[f186]) ).

fof(f188,plain,
    ! [Vd1,Vd2] :
      ( ( rpoint(sK2_skl(Vd2,Vd1))
        & Vd1 = sK2_skl(Vd2,Vd1)
        & rcircle(sK3_skl(Vd2,Vd1))
        & Vd2 = sK3_skl(Vd2,Vd1) )
      | ~ rcenter(Vd1,Vd2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Vd3,sK2_skl(Vd2,Vd1)),skolemize(Vd4,sK3_skl(Vd2,Vd1))],[f187]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( X0 = sK2_skl(X1,X0)
      | ~ rcenter(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( rpoint(sK2_skl(X1,X0))
      | ~ rcenter(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f193,plain,
    ! [Vd854,Vd855,Vd859,Vd860] :
      ( ( rless(vf(Vd859,Vd854),vf(Vd859,Vd855))
      <=> rinside(Vd854,Vd860) )
      | ! [Vd857] :
          ( ~ rpoint(Vd857)
          | Vd854 != Vd857 )
      | ! [Vd858] :
          ( ~ rpoint(Vd858)
          | Vd855 != Vd858 )
      | ~ rcenter(Vd859,Vd860)
      | ~ ron(Vd855,Vd860) ),
    inference(pre_NNF_transformation,[status(thm)],[f19]) ).

fof(f194,plain,
    ! [Vd854,Vd855,Vd859,Vd860] :
      ( ( ( ~ rinside(Vd854,Vd860)
          | rless(vf(Vd859,Vd854),vf(Vd859,Vd855)) )
        & ( rinside(Vd854,Vd860)
          | ~ rless(vf(Vd859,Vd854),vf(Vd859,Vd855)) ) )
      | ! [Vd857] :
          ( ~ rpoint(Vd857)
          | Vd854 != Vd857 )
      | ! [Vd858] :
          ( ~ rpoint(Vd858)
          | Vd855 != Vd858 )
      | ~ rcenter(Vd859,Vd860)
      | ~ ron(Vd855,Vd860) ),
    inference(NNF_transformation,[status(thm)],[f193]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ rinside(X4,X1)
      | rless(vf(X2,X4),vf(X2,X0))
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rcenter(X2,X1)
      | ~ ron(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f194]) ).

fof(f257,plain,
    ! [Vd741,Vd742] :
      ( ? [Vd747] :
          ( rreal(Vd747)
          & vf(Vd741,Vd742) = Vd747 )
      | ! [Vd744] :
          ( ~ rpoint(Vd744)
          | Vd741 != Vd744 )
      | ! [Vd745] :
          ( ~ rpoint(Vd745)
          | Vd742 != Vd745 ) ),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f258,plain,
    ! [Vd741,Vd742] :
      ( ( rreal(sK7_skl(Vd742,Vd741))
        & vf(Vd741,Vd742) = sK7_skl(Vd742,Vd741) )
      | ! [Vd744] :
          ( ~ rpoint(Vd744)
          | Vd741 != Vd744 )
      | ! [Vd745] :
          ( ~ rpoint(Vd745)
          | Vd742 != Vd745 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Vd747,sK7_skl(Vd742,Vd741))],[f257]) ).

fof(f259,plain,
    ! [X0,X1,X2,X3] :
      ( vf(X2,X0) = sK7_skl(X0,X2)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f258]) ).

fof(f260,plain,
    ! [X0,X1,X2,X3] :
      ( rreal(sK7_skl(X0,X2))
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f258]) ).

fof(f261,plain,
    ! [Vd713,Vd714] :
      ( ~ rless(Vd713,Vd713)
      | ~ rreal(Vd714)
      | Vd713 != Vd714 ),
    inference(pre_NNF_transformation,[status(thm)],[f39]) ).

fof(f262,plain,
    ! [Vd713] :
      ( ~ rless(Vd713,Vd713)
      | ! [Vd714] :
          ( ~ rreal(Vd714)
          | Vd713 != Vd714 ) ),
    inference(miniscoping,[status(thm)],[f261]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f262]) ).

fof(f264,plain,
    ! [Vd706,Vd707,Vd708,Vd709] :
      ( Vd706 = Vd708
      | ~ rless(Vd708,Vd706)
      | ~ rreal(Vd707)
      | Vd706 != Vd707
      | ~ rreal(Vd709)
      | Vd708 != Vd709
      | ~ rless(Vd706,Vd708) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f265,plain,
    ! [Vd706,Vd708] :
      ( Vd706 = Vd708
      | ~ rless(Vd708,Vd706)
      | ! [Vd707] :
          ( ~ rreal(Vd707)
          | Vd706 != Vd707
          | ! [Vd709] :
              ( ~ rreal(Vd709)
              | Vd708 != Vd709
              | ~ rless(Vd706,Vd708) ) ) ),
    inference(miniscoping,[status(thm)],[f264]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ rless(X1,X0)
      | ~ rreal(X3)
      | X0 != X3
      | ~ rreal(X2)
      | X1 != X2
      | ~ rless(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f636,plain,
    ! [Vd761,Vd762] :
      ( vf(Vd761,Vd762) = vf(Vd762,Vd761)
      | ! [Vd764] :
          ( ~ rpoint(Vd764)
          | Vd761 != Vd764 )
      | ! [Vd765] :
          ( ~ rpoint(Vd765)
          | Vd762 != Vd765 ) ),
    inference(pre_NNF_transformation,[status(thm)],[f125]) ).

fof(f637,plain,
    ! [X0,X1,X2,X3] :
      ( vf(X2,X0) = vf(X0,X2)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f636]) ).

fof(f708,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rpoint(X0)
      | vf(X0,X1) = sK7_skl(X1,X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f259]) ).

fof(f736,plain,
    ! [X0,X1,X2,X3] :
      ( rless(vf(X3,X1),vf(X3,X0))
      | ~ ron(X0,X2)
      | ~ rpoint(X1)
      | ~ rcenter(X3,X2)
      | ~ rinside(X1,X2)
      | ~ rpoint(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f196]) ).

fof(f766,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f637]) ).

fof(f838,plain,
    ! [X0] :
      ( ~ rless(X0,X0)
      | ~ rreal(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f263]) ).

fof(f849,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | rreal(sK7_skl(X1,X0))
      | ~ rpoint(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f260]) ).

fof(f891,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X1)
      | ~ rless(X1,X0)
      | ~ rreal(X1)
      | X0 = X1
      | ~ rreal(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f266]) ).

fof(f913,plain,
    rless(vf(vd1127,vd1130),vf(vd1123,vd1125)),
    inference(backward_demodulation,[status(thm)],[f168,f165]) ).

fof(f925,plain,
    rcenter(vd1124,vd1152),
    inference(backward_demodulation,[status(thm)],[f174,f137]) ).

fof(f926,plain,
    rless(vf(vd1127,vd1130),vf(vd1124,vd1125)),
    inference(forward_demodulation,[status(thm)],[f174,f913]) ).

fof(f928,plain,
    rpoint(vd1127),
    inference(backward_demodulation,[status(thm)],[f170,f171]) ).

fof(f954,plain,
    rpoint(sK2_skl(vd1152,vd1124)),
    inference(resolution,[status(thm)],[f192,f925]) ).

fof(f961,plain,
    ! [X0] :
      ( sK7_skl(sK2_skl(vd1152,vd1124),X0) = vf(X0,sK2_skl(vd1152,vd1124))
      | ~ rpoint(X0) ),
    inference(resolution,[status(thm)],[f954,f708]) ).

fof(f980,plain,
    vd1124 = vd1130,
    inference(backward_demodulation,[status(thm)],[f981,f168]) ).

fof(f981,plain,
    vd1124 = vd1129,
    inference(forward_demodulation,[status(thm)],[f174,f142]) ).

fof(f1020,plain,
    rpoint(vd1125),
    inference(backward_demodulation,[status(thm)],[f172,f173]) ).

fof(f1140,plain,
    rless(vf(vd1127,vd1124),vf(vd1124,vd1125)),
    inference(backward_demodulation,[status(thm)],[f980,f926]) ).

fof(f1200,plain,
    ! [X0,X1] :
      ( ~ rpoint(X0)
      | ~ ron(X1,vd1152)
      | ~ rinside(X0,vd1152)
      | ~ rpoint(X1)
      | rless(vf(vd1124,X0),vf(vd1124,X1)) ),
    inference(resolution,[status(thm)],[f736,f925]) ).

fof(f1216,plain,
    ! [X0] :
      ( ~ rpoint(vd1125)
      | ~ ron(X0,vd1152)
      | ~ rpoint(X0)
      | rless(vf(vd1124,vd1125),vf(vd1124,X0)) ),
    inference(resolution,[status(thm)],[f1200,f135]) ).

fof(f1219,plain,
    ! [X0] :
      ( rless(vf(vd1124,vd1125),vf(vd1124,X0))
      | ~ rpoint(X0)
      | ~ ron(X0,vd1152) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1216,f1020]) ).

fof(f1695,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(sK2_skl(vd1152,vd1124),X0) = vf(X0,sK2_skl(vd1152,vd1124)) ),
    inference(resolution,[status(thm)],[f766,f954]) ).

fof(f1718,plain,
    sK2_skl(vd1152,vd1124) = vd1124,
    inference(resolution,[status(thm)],[f191,f925]) ).

fof(f1742,plain,
    ! [X0] :
      ( sK7_skl(sK2_skl(vd1152,vd1124),X0) = vf(X0,vd1124)
      | ~ rpoint(X0) ),
    inference(backward_demodulation,[status(thm)],[f1718,f961]) ).

fof(f1770,plain,
    ! [X0] :
      ( sK7_skl(vd1124,X0) = vf(X0,vd1124)
      | ~ rpoint(X0) ),
    inference(forward_demodulation,[status(thm)],[f1718,f1742]) ).

fof(f4341,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(vd1124,X0) = vf(X0,sK2_skl(vd1152,vd1124)) ),
    inference(forward_demodulation,[status(thm)],[f1718,f1695]) ).

fof(f4342,plain,
    ! [X0] :
      ( vf(vd1124,X0) = vf(X0,vd1124)
      | ~ rpoint(X0) ),
    inference(forward_demodulation,[status(thm)],[f1718,f4341]) ).

fof(f4368,plain,
    vf(vd1125,vd1124) = vf(vd1124,vd1125),
    inference(resolution,[status(thm)],[f4342,f1020]) ).

fof(f4369,plain,
    vf(vd1124,vd1127) = vf(vd1127,vd1124),
    inference(resolution,[status(thm)],[f4342,f928]) ).

fof(f6529,plain,
    ( sK7_skl(vd1124,vd1125) = vf(vd1124,vd1125)
    | ~ rpoint(vd1125) ),
    inference(paramodulation,[status(thm)],[f4368,f1770]) ).

fof(f6531,plain,
    vf(vd1124,vd1125) = sK7_skl(vd1124,vd1125),
    inference(forward_subsumption_resolution,[status(thm)],[f6529,f1020]) ).

fof(f6777,plain,
    rless(vf(vd1124,vd1127),vf(vd1124,vd1125)),
    inference(backward_demodulation,[status(thm)],[f4369,f1140]) ).

fof(f6778,plain,
    ( sK7_skl(vd1124,vd1127) = vf(vd1124,vd1127)
    | ~ rpoint(vd1127) ),
    inference(paramodulation,[status(thm)],[f4369,f1770]) ).

fof(f6780,plain,
    sK7_skl(vd1124,vd1127) = vf(vd1124,vd1127),
    inference(forward_subsumption_resolution,[status(thm)],[f6778,f928]) ).

fof(f8155,plain,
    rless(vf(vd1124,vd1127),sK7_skl(vd1124,vd1125)),
    inference(backward_demodulation,[status(thm)],[f6531,f6777]) ).

fof(f8157,plain,
    ! [X0] :
      ( ~ ron(X0,vd1152)
      | rless(sK7_skl(vd1124,vd1125),vf(vd1124,X0))
      | ~ rpoint(X0) ),
    inference(backward_demodulation,[status(thm)],[f6531,f1219]) ).

fof(f8181,plain,
    rless(sK7_skl(vd1124,vd1127),sK7_skl(vd1124,vd1125)),
    inference(backward_demodulation,[status(thm)],[f6780,f8155]) ).

fof(f8235,plain,
    ( ~ rreal(sK7_skl(vd1124,vd1127))
    | sK7_skl(vd1124,vd1127) = sK7_skl(vd1124,vd1125)
    | ~ rless(sK7_skl(vd1124,vd1125),sK7_skl(vd1124,vd1127))
    | ~ rreal(sK7_skl(vd1124,vd1125)) ),
    inference(resolution,[status(thm)],[f8181,f891]) ).

fof(f8243,plain,
    ( rless(sK7_skl(vd1124,vd1125),vf(vd1124,vd1127))
    | ~ rpoint(vd1127) ),
    inference(resolution,[status(thm)],[f8157,f136]) ).

fof(f8249,plain,
    ( rless(sK7_skl(vd1124,vd1125),sK7_skl(vd1124,vd1127))
    | ~ rpoint(vd1127) ),
    inference(forward_demodulation,[status(thm)],[f6780,f8243]) ).

fof(f8250,plain,
    rless(sK7_skl(vd1124,vd1125),sK7_skl(vd1124,vd1127)),
    inference(forward_subsumption_resolution,[status(thm)],[f8249,f928]) ).

fof(f8335,plain,
    ( ~ rreal(sK7_skl(vd1124,vd1127))
    | sK7_skl(vd1124,vd1127) = sK7_skl(vd1124,vd1125)
    | ~ rreal(sK7_skl(vd1124,vd1125)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f8235,f8250]) ).

fof(f8336,plain,
    ( ~ rpoint(vd1124)
    | ~ rpoint(vd1125)
    | ~ rreal(sK7_skl(vd1124,vd1127))
    | sK7_skl(vd1124,vd1127) = sK7_skl(vd1124,vd1125) ),
    inference(resolution,[status(thm)],[f8335,f849]) ).

fof(f8337,plain,
    ( ~ rreal(sK7_skl(vd1124,vd1127))
    | ~ rpoint(vd1124)
    | sK7_skl(vd1124,vd1125) = sK7_skl(vd1124,vd1127) ),
    inference(forward_subsumption_resolution,[status(thm)],[f8336,f1020]) ).

fof(f8356,plain,
    ( ~ rreal(sK7_skl(vd1124,vd1127))
    | sK7_skl(vd1124,vd1125) = sK7_skl(vd1124,vd1127) ),
    inference(forward_subsumption_resolution,[status(thm)],[f8337,f175]) ).

fof(f8357,plain,
    ( ~ rpoint(vd1124)
    | ~ rpoint(vd1127)
    | sK7_skl(vd1124,vd1125) = sK7_skl(vd1124,vd1127) ),
    inference(resolution,[status(thm)],[f8356,f849]) ).

fof(f8358,plain,
    ( ~ rpoint(vd1124)
    | sK7_skl(vd1124,vd1125) = sK7_skl(vd1124,vd1127) ),
    inference(forward_subsumption_resolution,[status(thm)],[f8357,f928]) ).

fof(f9713,plain,
    rless(sK7_skl(vd1124,vd1127),sK7_skl(vd1124,vd1127)),
    inference(backward_demodulation,[status(thm)],[f9716,f8181]) ).

fof(f9716,plain,
    sK7_skl(vd1124,vd1127) = sK7_skl(vd1124,vd1125),
    inference(forward_subsumption_resolution,[status(thm)],[f8358,f175]) ).

fof(f9717,plain,
    ( ~ rpoint(vd1124)
    | rreal(sK7_skl(vd1124,vd1127))
    | ~ rpoint(vd1125) ),
    inference(paramodulation,[status(thm)],[f9716,f849]) ).

fof(f9720,plain,
    ( ~ rpoint(vd1124)
    | rreal(sK7_skl(vd1124,vd1127)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f9717,f1020]) ).

fof(f9786,plain,
    rreal(sK7_skl(vd1124,vd1127)),
    inference(forward_subsumption_resolution,[status(thm)],[f9720,f175]) ).

fof(f9799,plain,
    ~ rless(sK7_skl(vd1124,vd1127),sK7_skl(vd1124,vd1127)),
    inference(resolution,[status(thm)],[f9786,f838]) ).

fof(f9801,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f9799,f9713]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO285+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n001.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 15:11:57 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.40  % Drodi V4.1.1
% 209.77/26.95  % Refutation found
% 209.77/26.95  % SZS status Theorem for theBenchmark: Theorem is valid
% 209.77/26.95  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.31/27.00  % Elapsed time: 26.616459 seconds
% 13.31/27.00  % CPU time: 210.822801 seconds
% 13.31/27.00  % Total memory used: 520.818 MB
% 13.31/27.00  % Net memory used: 483.611 MB
%------------------------------------------------------------------------------