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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PRO009+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.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 01:59:16 PM UTC 2026

% Result   : Theorem 0.85s 0.56s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   75 (  18 unt;   0 def)
%            Number of atoms       :  253 (  14 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  286 ( 108   ~; 100   |;  68   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :  130 ( 107   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( ( min_precedes(X1,X2,X3)
        & min_precedes(X0,X1,X3) )
     => min_precedes(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X15,X16,X17] :
      ( next_subocc(X15,X16,X17)
    <=> ( ~ ? [X18] :
              ( min_precedes(X18,X16,X17)
              & min_precedes(X15,X18,X17) )
        & min_precedes(X15,X16,X17) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X35,X36] :
      ( leaf_occ(X35,X36)
    <=> ? [X37] :
          ( leaf(X35,X37)
          & subactivity_occurrence(X35,X36)
          & occurrence_of(X36,X37) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X52] :
      ( activity_occurrence(X52)
     => ? [X53] :
          ( occurrence_of(X52,X53)
          & activity(X53) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [X54,X55] :
      ( subactivity_occurrence(X54,X55)
     => ( activity_occurrence(X55)
        & activity_occurrence(X54) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X64,X65,X66] :
      ( ( occurrence_of(X64,X66)
        & occurrence_of(X64,X65) )
     => X65 = X66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [X95] :
      ( occurrence_of(X95,tptp0)
     => ? [X96,X97,X98] :
          ( leaf_occ(X98,X95)
          & next_subocc(X97,X98,tptp0)
          & ( occurrence_of(X98,tptp1)
            | occurrence_of(X98,tptp2) )
          & next_subocc(X96,X97,tptp0)
          & occurrence_of(X97,tptp4)
          & root_occ(X96,X95)
          & occurrence_of(X96,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    tptp2 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,conjecture,
    ! [X99] :
      ( occurrence_of(X99,tptp0)
     => ? [X100,X101] :
          ( leaf_occ(X101,X99)
          & min_precedes(X100,X101,tptp0)
          & ( occurrence_of(X101,tptp1)
            | occurrence_of(X101,tptp2) )
          & root_occ(X100,X99)
          & occurrence_of(X100,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ~ ! [X99] :
        ( occurrence_of(X99,tptp0)
       => ? [X100,X101] :
            ( leaf_occ(X101,X99)
            & min_precedes(X100,X101,tptp0)
            & ( occurrence_of(X101,tptp1)
              | occurrence_of(X101,tptp2) )
            & root_occ(X100,X99)
            & occurrence_of(X100,tptp3) ) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X0,X2,X3)
      | ~ min_precedes(X1,X2,X3)
      | ~ min_precedes(X0,X1,X3) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f49,plain,
    ! [X0,X2,X3] :
      ( min_precedes(X0,X2,X3)
      | ! [X1] :
          ( ~ min_precedes(X1,X2,X3)
          | ~ min_precedes(X0,X1,X3) ) ),
    inference(miniscoping,[status(thm)],[f48]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X0,X3,X2)
      | ~ min_precedes(X1,X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f60,plain,
    ! [X15,X16,X17] :
      ( next_subocc(X15,X16,X17)
    <=> ( ! [X18] :
            ( ~ min_precedes(X18,X16,X17)
            | ~ min_precedes(X15,X18,X17) )
        & min_precedes(X15,X16,X17) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f61,plain,
    ! [X15,X16,X17] :
      ( ( ? [X18] :
            ( min_precedes(X18,X16,X17)
            & min_precedes(X15,X18,X17) )
        | ~ min_precedes(X15,X16,X17)
        | next_subocc(X15,X16,X17) )
      & ( ( ! [X18] :
              ( ~ min_precedes(X18,X16,X17)
              | ~ min_precedes(X15,X18,X17) )
          & min_precedes(X15,X16,X17) )
        | ~ next_subocc(X15,X16,X17) ) ),
    inference(NNF_transformation,[status(thm)],[f60]) ).

fof(f62,plain,
    ( ! [X15,X16,X17] :
        ( ? [X18] :
            ( min_precedes(X18,X16,X17)
            & min_precedes(X15,X18,X17) )
        | ~ min_precedes(X15,X16,X17)
        | next_subocc(X15,X16,X17) )
    & ! [X15,X16,X17] :
        ( ( ! [X18] :
              ( ~ min_precedes(X18,X16,X17)
              | ~ min_precedes(X15,X18,X17) )
          & min_precedes(X15,X16,X17) )
        | ~ next_subocc(X15,X16,X17) ) ),
    inference(miniscoping,[status(thm)],[f61]) ).

fof(f63,plain,
    ( ! [X15,X16,X17] :
        ( ( min_precedes(sK0_skl(X17,X16,X15),X16,X17)
          & min_precedes(X15,sK0_skl(X17,X16,X15),X17) )
        | ~ min_precedes(X15,X16,X17)
        | next_subocc(X15,X16,X17) )
    & ! [X15,X16,X17] :
        ( ( ! [X18] :
              ( ~ min_precedes(X18,X16,X17)
              | ~ min_precedes(X15,X18,X17) )
          & min_precedes(X15,X16,X17) )
        | ~ next_subocc(X15,X16,X17) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X18,sK0_skl(X17,X16,X15))],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f92,plain,
    ! [X35,X36] :
      ( ( ! [X37] :
            ( ~ leaf(X35,X37)
            | ~ subactivity_occurrence(X35,X36)
            | ~ occurrence_of(X36,X37) )
        | leaf_occ(X35,X36) )
      & ( ? [X37] :
            ( leaf(X35,X37)
            & subactivity_occurrence(X35,X36)
            & occurrence_of(X36,X37) )
        | ~ leaf_occ(X35,X36) ) ),
    inference(NNF_transformation,[status(thm)],[f12]) ).

fof(f93,plain,
    ( ! [X35,X36] :
        ( ! [X37] :
            ( ~ leaf(X35,X37)
            | ~ subactivity_occurrence(X35,X36)
            | ~ occurrence_of(X36,X37) )
        | leaf_occ(X35,X36) )
    & ! [X35,X36] :
        ( ? [X37] :
            ( leaf(X35,X37)
            & subactivity_occurrence(X35,X36)
            & occurrence_of(X36,X37) )
        | ~ leaf_occ(X35,X36) ) ),
    inference(miniscoping,[status(thm)],[f92]) ).

fof(f94,plain,
    ( ! [X35,X36] :
        ( ! [X37] :
            ( ~ leaf(X35,X37)
            | ~ subactivity_occurrence(X35,X36)
            | ~ occurrence_of(X36,X37) )
        | leaf_occ(X35,X36) )
    & ! [X35,X36] :
        ( ( leaf(X35,sK2_skl(X36,X35))
          & subactivity_occurrence(X35,X36)
          & occurrence_of(X36,sK2_skl(X36,X35)) )
        | ~ leaf_occ(X35,X36) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X37,sK2_skl(X36,X35))],[f93]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(X0,X1)
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f125,plain,
    ! [X52] :
      ( ? [X53] :
          ( occurrence_of(X52,X53)
          & activity(X53) )
      | ~ activity_occurrence(X52) ),
    inference(pre_NNF_transformation,[status(thm)],[f19]) ).

fof(f126,plain,
    ! [X52] :
      ( ( occurrence_of(X52,sK6_skl(X52))
        & activity(sK6_skl(X52)) )
      | ~ activity_occurrence(X52) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(X53,sK6_skl(X52))],[f125]) ).

fof(f128,plain,
    ! [X0] :
      ( occurrence_of(X0,sK6_skl(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[status(thm)],[f126]) ).

fof(f129,plain,
    ! [X54,X55] :
      ( ( activity_occurrence(X55)
        & activity_occurrence(X54) )
      | ~ subactivity_occurrence(X54,X55) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( activity_occurrence(X0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f129]) ).

fof(f138,plain,
    ! [X64,X65,X66] :
      ( X65 = X66
      | ~ occurrence_of(X64,X66)
      | ~ occurrence_of(X64,X65) ),
    inference(pre_NNF_transformation,[status(thm)],[f23]) ).

fof(f139,plain,
    ! [X65,X66] :
      ( X65 = X66
      | ! [X64] :
          ( ~ occurrence_of(X64,X66)
          | ~ occurrence_of(X64,X65) ) ),
    inference(miniscoping,[status(thm)],[f138]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f139]) ).

fof(f177,plain,
    ! [X95] :
      ( ? [X96,X97,X98] :
          ( leaf_occ(X98,X95)
          & next_subocc(X97,X98,tptp0)
          & ( occurrence_of(X98,tptp1)
            | occurrence_of(X98,tptp2) )
          & next_subocc(X96,X97,tptp0)
          & occurrence_of(X97,tptp4)
          & root_occ(X96,X95)
          & occurrence_of(X96,tptp3) )
      | ~ occurrence_of(X95,tptp0) ),
    inference(pre_NNF_transformation,[status(thm)],[f33]) ).

fof(f178,plain,
    ! [X95] :
      ( ? [X98] :
          ( leaf_occ(X98,X95)
          & ? [X97] :
              ( next_subocc(X97,X98,tptp0)
              & ( occurrence_of(X98,tptp1)
                | occurrence_of(X98,tptp2) )
              & ? [X96] :
                  ( next_subocc(X96,X97,tptp0)
                  & occurrence_of(X97,tptp4)
                  & root_occ(X96,X95)
                  & occurrence_of(X96,tptp3) ) ) )
      | ~ occurrence_of(X95,tptp0) ),
    inference(miniscoping,[status(thm)],[f177]) ).

fof(f179,plain,
    ! [X95] :
      ( ( leaf_occ(sK14_skl(X95),X95)
        & next_subocc(sK15_skl(X95),sK14_skl(X95),tptp0)
        & ( occurrence_of(sK14_skl(X95),tptp1)
          | occurrence_of(sK14_skl(X95),tptp2) )
        & next_subocc(sK16_skl(X95),sK15_skl(X95),tptp0)
        & occurrence_of(sK15_skl(X95),tptp4)
        & root_occ(sK16_skl(X95),X95)
        & occurrence_of(sK16_skl(X95),tptp3) )
      | ~ occurrence_of(X95,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(X98,sK14_skl(X95)),skolemize(X97,sK15_skl(X95)),skolemize(X96,sK16_skl(X95))],[f178]) ).

fof(f180,plain,
    ! [X0] :
      ( occurrence_of(sK16_skl(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f181,plain,
    ! [X0] :
      ( root_occ(sK16_skl(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f183,plain,
    ! [X0] :
      ( next_subocc(sK16_skl(X0),sK15_skl(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f184,plain,
    ! [X0] :
      ( occurrence_of(sK14_skl(X0),tptp1)
      | occurrence_of(sK14_skl(X0),tptp2)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f185,plain,
    ! [X0] :
      ( next_subocc(sK15_skl(X0),sK14_skl(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f186,plain,
    ! [X0] :
      ( leaf_occ(sK14_skl(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f198,plain,
    tptp2 != tptp1,
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f199,plain,
    ? [X99] :
      ( ! [X100,X101] :
          ( ~ leaf_occ(X101,X99)
          | ~ min_precedes(X100,X101,tptp0)
          | ( ~ occurrence_of(X101,tptp1)
            & ~ occurrence_of(X101,tptp2) )
          | ~ root_occ(X100,X99)
          | ~ occurrence_of(X100,tptp3) )
      & occurrence_of(X99,tptp0) ),
    inference(pre_NNF_transformation,[status(thm)],[f47]) ).

fof(f200,plain,
    ? [X99] :
      ( ! [X101] :
          ( ~ leaf_occ(X101,X99)
          | ! [X100] :
              ( ~ min_precedes(X100,X101,tptp0)
              | ( ~ occurrence_of(X101,tptp1)
                & ~ occurrence_of(X101,tptp2) )
              | ~ root_occ(X100,X99)
              | ~ occurrence_of(X100,tptp3) ) )
      & occurrence_of(X99,tptp0) ),
    inference(miniscoping,[status(thm)],[f199]) ).

fof(f201,plain,
    ( ! [X101] :
        ( ~ leaf_occ(X101,sK17_skl)
        | ! [X100] :
            ( ~ min_precedes(X100,X101,tptp0)
            | ( ~ occurrence_of(X101,tptp1)
              & ~ occurrence_of(X101,tptp2) )
            | ~ root_occ(X100,sK17_skl)
            | ~ occurrence_of(X100,tptp3) ) )
    & occurrence_of(sK17_skl,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(X99,sK17_skl)],[f200]) ).

fof(f202,plain,
    occurrence_of(sK17_skl,tptp0),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X1,sK17_skl)
      | ~ min_precedes(X0,X1,tptp0)
      | ~ occurrence_of(X1,tptp2)
      | ~ root_occ(X0,sK17_skl)
      | ~ occurrence_of(X0,tptp3) ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X1,sK17_skl)
      | ~ min_precedes(X0,X1,tptp0)
      | ~ occurrence_of(X1,tptp1)
      | ~ root_occ(X0,sK17_skl)
      | ~ occurrence_of(X0,tptp3) ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f239,plain,
    root_occ(sK16_skl(sK17_skl),sK17_skl),
    inference(resolution,[status(thm)],[f181,f202]) ).

fof(f298,plain,
    leaf_occ(sK14_skl(sK17_skl),sK17_skl),
    inference(resolution,[status(thm)],[f186,f202]) ).

fof(f302,plain,
    subactivity_occurrence(sK14_skl(sK17_skl),sK17_skl),
    inference(resolution,[status(thm)],[f298,f96]) ).

fof(f305,plain,
    activity_occurrence(sK14_skl(sK17_skl)),
    inference(resolution,[status(thm)],[f302,f130]) ).

fof(f306,plain,
    occurrence_of(sK14_skl(sK17_skl),sK6_skl(sK14_skl(sK17_skl))),
    inference(resolution,[status(thm)],[f305,f128]) ).

fof(f310,plain,
    occurrence_of(sK16_skl(sK17_skl),tptp3),
    inference(resolution,[status(thm)],[f180,f202]) ).

fof(f401,plain,
    ! [X0] :
      ( sK6_skl(sK14_skl(sK17_skl)) = X0
      | ~ occurrence_of(sK14_skl(sK17_skl),X0) ),
    inference(resolution,[status(thm)],[f306,f140]) ).

fof(f590,plain,
    next_subocc(sK16_skl(sK17_skl),sK15_skl(sK17_skl),tptp0),
    inference(resolution,[status(thm)],[f183,f202]) ).

fof(f593,plain,
    ( occurrence_of(sK14_skl(sK17_skl),tptp1)
    | occurrence_of(sK14_skl(sK17_skl),tptp2) ),
    inference(resolution,[status(thm)],[f184,f202]) ).

fof(f595,plain,
    min_precedes(sK16_skl(sK17_skl),sK15_skl(sK17_skl),tptp0),
    inference(resolution,[status(thm)],[f590,f64]) ).

fof(f615,plain,
    ! [X0] :
      ( min_precedes(sK16_skl(sK17_skl),X0,tptp0)
      | ~ min_precedes(sK15_skl(sK17_skl),X0,tptp0) ),
    inference(resolution,[status(thm)],[f595,f50]) ).

fof(f661,plain,
    ( sK6_skl(sK14_skl(sK17_skl)) = tptp2
    | occurrence_of(sK14_skl(sK17_skl),tptp1) ),
    inference(resolution,[status(thm)],[f593,f401]) ).

fof(f751,plain,
    next_subocc(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0),
    inference(resolution,[status(thm)],[f185,f202]) ).

fof(f753,plain,
    min_precedes(sK15_skl(sK17_skl),sK14_skl(sK17_skl),tptp0),
    inference(resolution,[status(thm)],[f751,f64]) ).

fof(f929,plain,
    ( sK6_skl(sK14_skl(sK17_skl)) = tptp1
    | sK6_skl(sK14_skl(sK17_skl)) = tptp2 ),
    inference(resolution,[status(thm)],[f661,f401]) ).

fof(f990,plain,
    ( sK6_skl(sK14_skl(sK17_skl)) = tptp1
    | occurrence_of(sK14_skl(sK17_skl),tptp2) ),
    inference(paramodulation,[status(thm)],[f929,f306]) ).

fof(f1073,plain,
    min_precedes(sK16_skl(sK17_skl),sK14_skl(sK17_skl),tptp0),
    inference(resolution,[status(thm)],[f615,f753]) ).

fof(f1077,plain,
    ( ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK14_skl(sK17_skl),tptp1)
    | ~ root_occ(sK16_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK16_skl(sK17_skl),tptp3) ),
    inference(resolution,[status(thm)],[f1073,f204]) ).

fof(f1078,plain,
    ( ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK14_skl(sK17_skl),tptp2)
    | ~ root_occ(sK16_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK16_skl(sK17_skl),tptp3) ),
    inference(resolution,[status(thm)],[f1073,f203]) ).

fof(f1093,plain,
    ( ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK14_skl(sK17_skl),tptp1)
    | ~ root_occ(sK16_skl(sK17_skl),sK17_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1077,f310]) ).

fof(f1094,plain,
    ( ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK14_skl(sK17_skl),tptp2)
    | ~ root_occ(sK16_skl(sK17_skl),sK17_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1078,f310]) ).

fof(f3184,plain,
    ( ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK14_skl(sK17_skl),tptp1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1093,f239]) ).

fof(f3185,plain,
    ( sK6_skl(sK14_skl(sK17_skl)) = tptp2
    | ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl) ),
    inference(resolution,[status(thm)],[f3184,f661]) ).

fof(f3187,plain,
    sK6_skl(sK14_skl(sK17_skl)) = tptp2,
    inference(forward_subsumption_resolution,[status(thm)],[f3185,f298]) ).

fof(f3237,plain,
    ( tptp2 = tptp1
    | occurrence_of(sK14_skl(sK17_skl),tptp2) ),
    inference(backward_demodulation,[status(thm)],[f3187,f990]) ).

fof(f3275,plain,
    occurrence_of(sK14_skl(sK17_skl),tptp2),
    inference(forward_subsumption_resolution,[status(thm)],[f3237,f198]) ).

fof(f3513,plain,
    ( ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl)
    | ~ occurrence_of(sK14_skl(sK17_skl),tptp2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1094,f239]) ).

fof(f3514,plain,
    ~ leaf_occ(sK14_skl(sK17_skl),sK17_skl),
    inference(resolution,[status(thm)],[f3513,f3275]) ).

fof(f3515,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3514,f298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PRO009+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n003.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 03:43:46 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.85/0.56  % Refutation found
% 0.85/0.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.85/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.85/0.60  % Elapsed time: 0.216703 seconds
% 0.85/0.60  % CPU time: 1.273539 seconds
% 0.85/0.60  % Total memory used: 95.142 MB
% 0.85/0.60  % Net memory used: 94.609 MB
%------------------------------------------------------------------------------