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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SET995+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 02:11:07 PM UTC 2026

% Result   : Theorem 0.15s 5.62s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   84 (  16 unt;  10 def)
%            Number of atoms       :  333 ( 106 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  401 ( 152   ~; 161   |;  61   &)
%                                         (  16 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  11 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   98 (  81   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [A,B] :
      ( B = singleton(A)
    <=> ! [C] :
          ( in(C,B)
        <=> C = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] :
      ( ( function(A)
        & relation(A) )
     => ! [B] :
          ( B = relation_rng(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] :
                  ( C = apply(A,D)
                  & in(D,relation_dom(A)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,conjecture,
    ! [A,B] :
      ( ( function(B)
        & relation(B) )
     => ! [C] :
          ( ( function(C)
            & relation(C) )
         => ( ( relation_rng(C) = singleton(A)
              & relation_rng(B) = singleton(A)
              & relation_dom(B) = relation_dom(C) )
           => B = C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ~ ! [A,B] :
        ( ( function(B)
          & relation(B) )
       => ! [C] :
            ( ( function(C)
              & relation(C) )
           => ( ( relation_rng(C) = singleton(A)
                & relation_rng(B) = singleton(A)
                & relation_dom(B) = relation_dom(C) )
             => B = C ) ) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f35,axiom,
    ! [A] :
      ( ( function(A)
        & relation(A) )
     => ! [B] :
          ( ( function(B)
            & relation(B) )
         => ( ( ! [C] :
                  ( in(C,relation_dom(A))
                 => apply(A,C) = apply(B,C) )
              & relation_dom(A) = relation_dom(B) )
           => A = B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,plain,
    ! [A,B] :
      ( ( ? [C] :
            ( ( C = A
              | in(C,B) )
            & ( C != A
              | ~ in(C,B) ) )
        | B = singleton(A) )
      & ( ! [C] :
            ( ( C != A
              | in(C,B) )
            & ( C = A
              | ~ in(C,B) ) )
        | B != singleton(A) ) ),
    inference(NNF_transformation,[status(thm)],[f4]) ).

fof(f43,plain,
    ( ! [A,B] :
        ( ? [C] :
            ( ( C = A
              | in(C,B) )
            & ( C != A
              | ~ in(C,B) ) )
        | B = singleton(A) )
    & ! [A,B] :
        ( ( ! [C] :
              ( C != A
              | in(C,B) )
          & ! [C] :
              ( C = A
              | ~ in(C,B) ) )
        | B != singleton(A) ) ),
    inference(miniscoping,[status(thm)],[f42]) ).

fof(f44,plain,
    ( ! [A,B] :
        ( ( ( sK0_skl(B,A) = A
            | in(sK0_skl(B,A),B) )
          & ( sK0_skl(B,A) != A
            | ~ in(sK0_skl(B,A),B) ) )
        | B = singleton(A) )
    & ! [A,B] :
        ( ( ! [C] :
              ( C != A
              | in(C,B) )
          & ! [C] :
              ( C = A
              | ~ in(C,B) ) )
        | B != singleton(A) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f43]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( X2 = X1
      | ~ in(X2,X0)
      | X0 != singleton(X1) ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f49,plain,
    ! [A] :
      ( ! [B] :
          ( B = relation_rng(A)
        <=> ! [C] :
              ( in(C,B)
            <=> ? [D] :
                  ( C = apply(A,D)
                  & in(D,relation_dom(A)) ) ) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f50,plain,
    ! [A] :
      ( ! [B] :
          ( ( ? [C] :
                ( ( ? [D] :
                      ( C = apply(A,D)
                      & in(D,relation_dom(A)) )
                  | in(C,B) )
                & ( ! [D] :
                      ( C != apply(A,D)
                      | ~ in(D,relation_dom(A)) )
                  | ~ in(C,B) ) )
            | B = relation_rng(A) )
          & ( ! [C] :
                ( ( ! [D] :
                      ( C != apply(A,D)
                      | ~ in(D,relation_dom(A)) )
                  | in(C,B) )
                & ( ? [D] :
                      ( C = apply(A,D)
                      & in(D,relation_dom(A)) )
                  | ~ in(C,B) ) )
            | B != relation_rng(A) ) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(NNF_transformation,[status(thm)],[f49]) ).

fof(f51,plain,
    ! [A] :
      ( ( ! [B] :
            ( ? [C] :
                ( ( ? [D] :
                      ( C = apply(A,D)
                      & in(D,relation_dom(A)) )
                  | in(C,B) )
                & ( ! [D] :
                      ( C != apply(A,D)
                      | ~ in(D,relation_dom(A)) )
                  | ~ in(C,B) ) )
            | B = relation_rng(A) )
        & ! [B] :
            ( ( ! [C] :
                  ( ! [D] :
                      ( C != apply(A,D)
                      | ~ in(D,relation_dom(A)) )
                  | in(C,B) )
              & ! [C] :
                  ( ? [D] :
                      ( C = apply(A,D)
                      & in(D,relation_dom(A)) )
                  | ~ in(C,B) ) )
            | B != relation_rng(A) ) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(miniscoping,[status(thm)],[f50]) ).

fof(f52,plain,
    ! [A] :
      ( ( ! [B] :
            ( ( ( ( sK2_skl(B,A) = apply(A,sK3_skl(B,A))
                  & in(sK3_skl(B,A),relation_dom(A)) )
                | in(sK2_skl(B,A),B) )
              & ( ! [D] :
                    ( sK2_skl(B,A) != apply(A,D)
                    | ~ in(D,relation_dom(A)) )
                | ~ in(sK2_skl(B,A),B) ) )
            | B = relation_rng(A) )
        & ! [B] :
            ( ( ! [C] :
                  ( ! [D] :
                      ( C != apply(A,D)
                      | ~ in(D,relation_dom(A)) )
                  | in(C,B) )
              & ! [C] :
                  ( ( C = apply(A,sK1_skl(C,B,A))
                    & in(sK1_skl(C,B,A),relation_dom(A)) )
                  | ~ in(C,B) ) )
            | B != relation_rng(A) ) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(D,sK1_skl(C,B,A)),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A))],[f51]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( X2 != apply(X0,X3)
      | ~ in(X3,relation_dom(X0))
      | in(X2,X1)
      | X1 != relation_rng(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f104,plain,
    ? [A,B] :
      ( ? [C] :
          ( B != C
          & relation_rng(C) = singleton(A)
          & relation_rng(B) = singleton(A)
          & relation_dom(B) = relation_dom(C)
          & function(C)
          & relation(C) )
      & function(B)
      & relation(B) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f105,plain,
    ? [B] :
      ( ? [C] :
          ( B != C
          & ? [A] :
              ( relation_rng(C) = singleton(A)
              & relation_rng(B) = singleton(A)
              & relation_dom(B) = relation_dom(C) )
          & function(C)
          & relation(C) )
      & function(B)
      & relation(B) ),
    inference(miniscoping,[status(thm)],[f104]) ).

fof(f106,plain,
    ( sK13_skl != sK14_skl
    & relation_rng(sK14_skl) = singleton(sK15_skl)
    & relation_rng(sK13_skl) = singleton(sK15_skl)
    & relation_dom(sK13_skl) = relation_dom(sK14_skl)
    & function(sK14_skl)
    & relation(sK14_skl)
    & function(sK13_skl)
    & relation(sK13_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(B,sK13_skl),skolemize(C,sK14_skl),skolemize(A,sK15_skl)],[f105]) ).

fof(f107,plain,
    relation(sK13_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f108,plain,
    function(sK13_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f109,plain,
    relation(sK14_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f110,plain,
    function(sK14_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f111,plain,
    relation_dom(sK13_skl) = relation_dom(sK14_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f112,plain,
    relation_rng(sK13_skl) = singleton(sK15_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f113,plain,
    relation_rng(sK14_skl) = singleton(sK15_skl),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f114,plain,
    sK13_skl != sK14_skl,
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f137,plain,
    ! [A] :
      ( ! [B] :
          ( A = B
          | ? [C] :
              ( apply(A,C) != apply(B,C)
              & in(C,relation_dom(A)) )
          | relation_dom(A) != relation_dom(B)
          | ~ function(B)
          | ~ relation(B) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f35]) ).

fof(f138,plain,
    ! [A] :
      ( ! [B] :
          ( A = B
          | ( apply(A,sK16_skl(B,A)) != apply(B,sK16_skl(B,A))
            & in(sK16_skl(B,A),relation_dom(A)) )
          | relation_dom(A) != relation_dom(B)
          | ~ function(B)
          | ~ relation(B) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(C,sK16_skl(B,A))],[f137]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( X0 = X1
      | in(sK16_skl(X1,X0),relation_dom(X0))
      | relation_dom(X0) != relation_dom(X1)
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( X0 = X1
      | apply(X0,sK16_skl(X1,X0)) != apply(X1,sK16_skl(X1,X0))
      | relation_dom(X0) != relation_dom(X1)
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ in(X0,singleton(X1)) ),
    inference(destructive_equality_resolution,[status(thm)],[f45]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ in(X1,relation_dom(X0))
      | in(apply(X0,X1),relation_rng(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f55]) ).

fof(f166,definition,
    ( sQ3_spl
  <=> relation(sK13_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f168,plain,
    ( sQ3_spl
    | ~ relation(sK13_skl) ),
    inference(component_clause,[status(thm)],[f166]) ).

fof(f170,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f168,f107]) ).

fof(f171,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f170]) ).

fof(f190,definition,
    ( sQ5_spl
  <=> relation(sK14_skl) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f192,plain,
    ( sQ5_spl
    | ~ relation(sK14_skl) ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f196,plain,
    ! [X0] :
      ( X0 = sK15_skl
      | ~ in(X0,relation_rng(sK13_skl)) ),
    inference(paramodulation,[status(thm)],[f112,f141]) ).

fof(f205,plain,
    relation_rng(sK14_skl) = relation_rng(sK13_skl),
    inference(forward_demodulation,[status(thm)],[f112,f113]) ).

fof(f248,definition,
    ( sQ8_spl
  <=> function(sK13_skl) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f250,plain,
    ( sQ8_spl
    | ~ function(sK13_skl) ),
    inference(component_clause,[status(thm)],[f248]) ).

fof(f259,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f108]) ).

fof(f260,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f259]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK13_skl))
      | in(apply(sK13_skl,X0),relation_rng(sK14_skl))
      | ~ function(sK13_skl)
      | ~ relation(sK13_skl) ),
    inference(paramodulation,[status(thm)],[f205,f145]) ).

fof(f273,definition,
    ! [X0] :
      ( sQ12_spl
    <=> ( ~ in(X0,relation_dom(sK13_skl))
        | in(apply(sK13_skl,X0),relation_rng(sK14_skl)) ) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ in(X0,relation_dom(sK13_skl))
      | in(apply(sK13_skl,X0),relation_rng(sK14_skl)) ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f276,plain,
    ( sQ12_spl
    | ~ sQ8_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f272,f166,f248,f273]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ in(X0,relation_dom(sK14_skl))
      | in(apply(sK13_skl,X0),relation_rng(sK14_skl)) ),
    inference(forward_demodulation,[status(thm)],[f111,f274]) ).

fof(f281,plain,
    ! [X0] :
      ( X0 = sK15_skl
      | ~ in(X0,relation_rng(sK14_skl)) ),
    inference(forward_demodulation,[status(thm)],[f205,f196]) ).

fof(f283,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14_skl))
      | ~ function(sK14_skl)
      | ~ relation(sK14_skl)
      | apply(sK14_skl,X0) = sK15_skl ),
    inference(resolution,[status(thm)],[f281,f145]) ).

fof(f285,definition,
    ! [X0] :
      ( sQ13_spl
    <=> ( ~ in(X0,relation_dom(sK14_skl))
        | apply(sK14_skl,X0) = sK15_skl ) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | ~ in(X0,relation_dom(sK14_skl))
      | apply(sK14_skl,X0) = sK15_skl ),
    inference(component_clause,[status(thm)],[f285]) ).

fof(f288,definition,
    ( sQ14_spl
  <=> function(sK14_skl) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f290,plain,
    ( sQ14_spl
    | ~ function(sK14_skl) ),
    inference(component_clause,[status(thm)],[f288]) ).

fof(f291,plain,
    ( ~ sQ14_spl
    | ~ sQ5_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f283,f285,f190,f288]) ).

fof(f292,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f192,f109]) ).

fof(f293,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f292]) ).

fof(f322,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f290,f110]) ).

fof(f323,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f322]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | apply(sK13_skl,X0) = sK15_skl
      | ~ in(X0,relation_dom(sK14_skl)) ),
    inference(resolution,[status(thm)],[f277,f281]) ).

fof(f556,plain,
    ( sK13_skl = sK14_skl
    | in(sK16_skl(sK14_skl,sK13_skl),relation_dom(sK13_skl))
    | ~ function(sK14_skl)
    | ~ relation(sK14_skl)
    | ~ function(sK13_skl)
    | ~ relation(sK13_skl) ),
    inference(resolution,[status(thm)],[f139,f111]) ).

fof(f563,definition,
    ( sQ44_spl
  <=> in(sK16_skl(sK14_skl,sK13_skl),relation_dom(sK13_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f564,plain,
    ( ~ sQ44_spl
    | in(sK16_skl(sK14_skl,sK13_skl),relation_dom(sK13_skl)) ),
    inference(component_clause,[status(thm)],[f563]) ).

fof(f566,definition,
    ( sQ45_spl
  <=> sK13_skl = sK14_skl ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f567,plain,
    ( ~ sQ45_spl
    | sK13_skl = sK14_skl ),
    inference(component_clause,[status(thm)],[f566]) ).

fof(f569,plain,
    ( sQ45_spl
    | sQ44_spl
    | ~ sQ14_spl
    | ~ sQ5_spl
    | ~ sQ8_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f556,f166,f248,f190,f288,f563,f566]) ).

fof(f584,plain,
    ( ~ sQ45_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f567,f114]) ).

fof(f585,plain,
    ~ sQ45_spl,
    inference(contradiction_clause,[status(thm)],[f584]) ).

fof(f587,plain,
    ( ~ sQ44_spl
    | in(sK16_skl(sK14_skl,sK13_skl),relation_dom(sK14_skl)) ),
    inference(forward_demodulation,[status(thm)],[f111,f564]) ).

fof(f621,plain,
    ( ~ sQ12_spl
    | ~ sQ44_spl
    | apply(sK13_skl,sK16_skl(sK14_skl,sK13_skl)) = sK15_skl ),
    inference(resolution,[status(thm)],[f587,f397]) ).

fof(f622,plain,
    ( ~ sQ13_spl
    | ~ sQ44_spl
    | apply(sK14_skl,sK16_skl(sK14_skl,sK13_skl)) = sK15_skl ),
    inference(resolution,[status(thm)],[f587,f286]) ).

fof(f798,plain,
    ( ~ sQ12_spl
    | ~ sQ44_spl
    | sK13_skl = sK14_skl
    | sK15_skl != apply(sK14_skl,sK16_skl(sK14_skl,sK13_skl))
    | relation_dom(sK13_skl) != relation_dom(sK14_skl)
    | ~ function(sK14_skl)
    | ~ relation(sK14_skl)
    | ~ function(sK13_skl)
    | ~ relation(sK13_skl) ),
    inference(paramodulation,[status(thm)],[f621,f140]) ).

fof(f801,definition,
    ( sQ70_spl
  <=> relation_dom(sK13_skl) = relation_dom(sK14_skl) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f803,plain,
    ( sQ70_spl
    | relation_dom(sK13_skl) != relation_dom(sK14_skl) ),
    inference(component_clause,[status(thm)],[f801]) ).

fof(f804,definition,
    ( sQ71_spl
  <=> sK15_skl = apply(sK14_skl,sK16_skl(sK14_skl,sK13_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f806,plain,
    ( sQ71_spl
    | sK15_skl != apply(sK14_skl,sK16_skl(sK14_skl,sK13_skl)) ),
    inference(component_clause,[status(thm)],[f804]) ).

fof(f807,plain,
    ( ~ sQ12_spl
    | ~ sQ44_spl
    | sQ45_spl
    | ~ sQ71_spl
    | ~ sQ70_spl
    | ~ sQ14_spl
    | ~ sQ5_spl
    | ~ sQ8_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f798,f166,f248,f190,f288,f801,f804,f566,f563,f273]) ).

fof(f812,plain,
    ( sQ70_spl
    | relation_dom(sK14_skl) != relation_dom(sK14_skl) ),
    inference(forward_demodulation,[status(thm)],[f111,f803]) ).

fof(f813,plain,
    ( sQ70_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f812]) ).

fof(f814,plain,
    sQ70_spl,
    inference(contradiction_clause,[status(thm)],[f813]) ).

fof(f815,plain,
    ( sQ71_spl
    | ~ sQ13_spl
    | ~ sQ44_spl
    | sK15_skl != sK15_skl ),
    inference(forward_demodulation,[status(thm)],[f622,f806]) ).

fof(f816,plain,
    ( sQ71_spl
    | ~ sQ13_spl
    | ~ sQ44_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f815]) ).

fof(f817,plain,
    ( sQ71_spl
    | ~ sQ13_spl
    | ~ sQ44_spl ),
    inference(contradiction_clause,[status(thm)],[f816]) ).

fof(f818,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f171,f260,f276,f291,f293,f323,f569,f585,f807,f814,f817]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET995+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.57  % Computer : n009.cluster.edu
% 0.10/5.57  % Model    : x86_64 x86_64
% 0.10/5.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.57  % Memory   : 8046.5625MB
% 0.10/5.57  % OS       : Linux 6.8.0-71-generic
% 0.10/5.57  % CPULimit : 300
% 0.10/5.57  % WCLimit  : 300
% 0.10/5.57  % DateTime : Mon Sep 21 05:46:34 UTC 2026
% 0.10/5.57  % CPUTime  : 
% 0.10/5.58  % Drodi V4.1.1
% 0.15/5.62  % Refutation found
% 0.15/5.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.65  % Elapsed time: 0.071540 seconds
% 0.15/5.65  % CPU time: 0.264316 seconds
% 0.15/5.65  % Total memory used: 106.967 MB
% 0.15/5.65  % Net memory used: 106.684 MB
%------------------------------------------------------------------------------