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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 02:20:20 PM UTC 2026

% Result   : Theorem 0.12s 0.42s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   85 (  27 unt;   0 def)
%            Number of atoms       :  313 (  16 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  395 ( 167   ~; 144   |;  48   &)
%                                         (   2 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :  111 ( 104   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [A] :
      ( one_sorted_str(A)
     => ! [B] :
          ( net_str(B,A)
         => ! [C] :
              ( subnetstr(C,A,B)
             => ( full_subnetstr(C,A,B)
              <=> ( subrelstr(C,B)
                  & full_subrelstr(C,B) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A] :
      ( rel_str(A)
     => one_sorted_str(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A] :
      ( one_sorted_str(A)
     => ! [B] :
          ( net_str(B,A)
         => rel_str(B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A,B] :
      ( ( net_str(B,A)
        & one_sorted_str(A) )
     => ! [C] :
          ( subnetstr(C,A,B)
         => net_str(C,A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [A] :
      ( ( one_sorted_str(A)
        & ~ empty_carrier(A) )
     => ~ empty(the_carrier(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [A,B] :
      ( in(A,B)
     => element(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,conjecture,
    ! [A] :
      ( one_sorted_str(A)
     => ! [B] :
          ( ( net_str(B,A)
            & ~ empty_carrier(B) )
         => ! [C] :
              ( ( subnetstr(C,A,B)
                & full_subnetstr(C,A,B)
                & ~ empty_carrier(C) )
             => ! [D] :
                  ( element(D,the_carrier(B))
                 => ! [E] :
                      ( element(E,the_carrier(B))
                     => ! [F] :
                          ( element(F,the_carrier(C))
                         => ! [G] :
                              ( element(G,the_carrier(C))
                             => ( ( related(B,D,E)
                                  & E = G
                                  & D = F )
                               => related(C,F,G) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ~ ! [A] :
        ( one_sorted_str(A)
       => ! [B] :
            ( ( net_str(B,A)
              & ~ empty_carrier(B) )
           => ! [C] :
                ( ( subnetstr(C,A,B)
                  & full_subnetstr(C,A,B)
                  & ~ empty_carrier(C) )
               => ! [D] :
                    ( element(D,the_carrier(B))
                   => ! [E] :
                        ( element(E,the_carrier(B))
                       => ! [F] :
                            ( element(F,the_carrier(C))
                           => ! [G] :
                                ( element(G,the_carrier(C))
                               => ( ( related(B,D,E)
                                    & E = G
                                    & D = F )
                                 => related(C,F,G) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f37,axiom,
    ! [A,B] :
      ( element(A,B)
     => ( in(A,B)
        | empty(B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [A] :
      ( rel_str(A)
     => ! [B] :
          ( ( subrelstr(B,A)
            & full_subrelstr(B,A) )
         => ! [C] :
              ( element(C,the_carrier(A))
             => ! [D] :
                  ( element(D,the_carrier(A))
                 => ! [E] :
                      ( element(E,the_carrier(B))
                     => ! [F] :
                          ( element(F,the_carrier(B))
                         => ( ( in(F,the_carrier(B))
                              & in(E,the_carrier(B))
                              & related(A,C,D)
                              & F = D
                              & E = C )
                           => related(B,E,F) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [A,B] :
      ~ ( empty(B)
        & in(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ( full_subnetstr(C,A,B)
              <=> ( subrelstr(C,B)
                  & full_subrelstr(C,B) ) )
              | ~ subnetstr(C,A,B) )
          | ~ net_str(B,A) )
      | ~ one_sorted_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f57,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ( ( ~ subrelstr(C,B)
                  | ~ full_subrelstr(C,B)
                  | full_subnetstr(C,A,B) )
                & ( ( subrelstr(C,B)
                    & full_subrelstr(C,B) )
                  | ~ full_subnetstr(C,A,B) ) )
              | ~ subnetstr(C,A,B) )
          | ~ net_str(B,A) )
      | ~ one_sorted_str(A) ),
    inference(NNF_transformation,[status(thm)],[f56]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( full_subrelstr(X2,X1)
      | ~ full_subnetstr(X2,X0,X1)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( subrelstr(X2,X1)
      | ~ full_subnetstr(X2,X0,X1)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f61,plain,
    ! [A] :
      ( one_sorted_str(A)
      | ~ rel_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f62,plain,
    ! [X0] :
      ( one_sorted_str(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [A] :
      ( ! [B] :
          ( rel_str(B)
          | ~ net_str(B,A) )
      | ~ one_sorted_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( rel_str(X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f67,plain,
    ! [A,B] :
      ( ! [C] :
          ( net_str(C,A)
          | ~ subnetstr(C,A,B) )
      | ~ net_str(B,A)
      | ~ one_sorted_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( net_str(X2,X0)
      | ~ subnetstr(X2,X0,X1)
      | ~ net_str(X1,X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f87,plain,
    ! [A] :
      ( ~ empty(the_carrier(A))
      | ~ one_sorted_str(A)
      | empty_carrier(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f23]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f122,plain,
    ! [A,B] :
      ( element(A,B)
      | ~ in(A,B) ),
    inference(pre_NNF_transformation,[status(thm)],[f34]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f122]) ).

fof(f124,plain,
    ? [A] :
      ( ? [B] :
          ( ? [C] :
              ( ? [D] :
                  ( ? [E] :
                      ( ? [F] :
                          ( ? [G] :
                              ( ~ related(C,F,G)
                              & related(B,D,E)
                              & E = G
                              & D = F
                              & element(G,the_carrier(C)) )
                          & element(F,the_carrier(C)) )
                      & element(E,the_carrier(B)) )
                  & element(D,the_carrier(B)) )
              & subnetstr(C,A,B)
              & full_subnetstr(C,A,B)
              & ~ empty_carrier(C) )
          & net_str(B,A)
          & ~ empty_carrier(B) )
      & one_sorted_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f36]) ).

fof(f125,plain,
    ( ~ related(sK17_skl,sK20_skl,sK21_skl)
    & related(sK16_skl,sK18_skl,sK19_skl)
    & sK19_skl = sK21_skl
    & sK18_skl = sK20_skl
    & element(sK21_skl,the_carrier(sK17_skl))
    & element(sK20_skl,the_carrier(sK17_skl))
    & element(sK19_skl,the_carrier(sK16_skl))
    & element(sK18_skl,the_carrier(sK16_skl))
    & subnetstr(sK17_skl,sK15_skl,sK16_skl)
    & full_subnetstr(sK17_skl,sK15_skl,sK16_skl)
    & ~ empty_carrier(sK17_skl)
    & net_str(sK16_skl,sK15_skl)
    & ~ empty_carrier(sK16_skl)
    & one_sorted_str(sK15_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl]),skolemize(A,sK15_skl),skolemize(B,sK16_skl),skolemize(C,sK17_skl),skolemize(D,sK18_skl),skolemize(E,sK19_skl),skolemize(F,sK20_skl),skolemize(G,sK21_skl)],[f124]) ).

fof(f126,plain,
    one_sorted_str(sK15_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f128,plain,
    net_str(sK16_skl,sK15_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f129,plain,
    ~ empty_carrier(sK17_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f130,plain,
    full_subnetstr(sK17_skl,sK15_skl,sK16_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f131,plain,
    subnetstr(sK17_skl,sK15_skl,sK16_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f132,plain,
    element(sK18_skl,the_carrier(sK16_skl)),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f133,plain,
    element(sK19_skl,the_carrier(sK16_skl)),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f134,plain,
    element(sK20_skl,the_carrier(sK17_skl)),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f135,plain,
    element(sK21_skl,the_carrier(sK17_skl)),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f136,plain,
    sK18_skl = sK20_skl,
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f137,plain,
    sK19_skl = sK21_skl,
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f138,plain,
    related(sK16_skl,sK18_skl,sK19_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f139,plain,
    ~ related(sK17_skl,sK20_skl,sK21_skl),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f140,plain,
    ! [A,B] :
      ( in(A,B)
      | empty(B)
      | ~ element(A,B) ),
    inference(pre_NNF_transformation,[status(thm)],[f37]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f142,plain,
    ! [A] :
      ( ! [B] :
          ( ! [C] :
              ( ! [D] :
                  ( ! [E] :
                      ( ! [F] :
                          ( related(B,E,F)
                          | ~ in(F,the_carrier(B))
                          | ~ in(E,the_carrier(B))
                          | ~ related(A,C,D)
                          | F != D
                          | E != C
                          | ~ element(F,the_carrier(B)) )
                      | ~ element(E,the_carrier(B)) )
                  | ~ element(D,the_carrier(A)) )
              | ~ element(C,the_carrier(A)) )
          | ~ subrelstr(B,A)
          | ~ full_subrelstr(B,A) )
      | ~ rel_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( related(X1,X4,X5)
      | ~ in(X5,the_carrier(X1))
      | ~ in(X4,the_carrier(X1))
      | ~ related(X0,X2,X3)
      | X5 != X3
      | X4 != X2
      | ~ element(X5,the_carrier(X1))
      | ~ element(X4,the_carrier(X1))
      | ~ element(X3,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ full_subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f142]) ).

fof(f146,plain,
    ! [A,B] :
      ( ~ empty(B)
      | ~ in(A,B) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f147,plain,
    ! [B] :
      ( ~ empty(B)
      | ! [A] : ~ in(A,B) ),
    inference(miniscoping,[status(thm)],[f146]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f147]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( related(X1,X2,X3)
      | ~ in(X3,the_carrier(X1))
      | ~ in(X2,the_carrier(X1))
      | ~ related(X0,X2,X3)
      | ~ element(X3,the_carrier(X1))
      | ~ element(X2,the_carrier(X1))
      | ~ element(X3,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ full_subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f143]) ).

fof(f153,plain,
    ( subrelstr(sK17_skl,sK16_skl)
    | ~ subnetstr(sK17_skl,sK15_skl,sK16_skl)
    | ~ net_str(sK16_skl,sK15_skl)
    | ~ one_sorted_str(sK15_skl) ),
    inference(resolution,[status(thm)],[f59,f130]) ).

fof(f154,plain,
    ( subrelstr(sK17_skl,sK16_skl)
    | ~ subnetstr(sK17_skl,sK15_skl,sK16_skl)
    | ~ net_str(sK16_skl,sK15_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f153,f126]) ).

fof(f155,plain,
    ( rel_str(sK16_skl)
    | ~ one_sorted_str(sK15_skl) ),
    inference(resolution,[status(thm)],[f64,f128]) ).

fof(f156,plain,
    rel_str(sK16_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f155,f126]) ).

fof(f157,plain,
    element(sK18_skl,the_carrier(sK17_skl)),
    inference(forward_demodulation,[status(thm)],[f136,f134]) ).

fof(f158,plain,
    element(sK19_skl,the_carrier(sK17_skl)),
    inference(forward_demodulation,[status(thm)],[f137,f135]) ).

fof(f159,plain,
    ~ related(sK17_skl,sK18_skl,sK21_skl),
    inference(forward_demodulation,[status(thm)],[f136,f139]) ).

fof(f160,plain,
    ~ related(sK17_skl,sK18_skl,sK19_skl),
    inference(forward_demodulation,[status(thm)],[f137,f159]) ).

fof(f161,plain,
    ( net_str(sK17_skl,sK15_skl)
    | ~ net_str(sK16_skl,sK15_skl)
    | ~ one_sorted_str(sK15_skl) ),
    inference(resolution,[status(thm)],[f68,f131]) ).

fof(f162,plain,
    ( net_str(sK17_skl,sK15_skl)
    | ~ net_str(sK16_skl,sK15_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f126]) ).

fof(f163,plain,
    net_str(sK17_skl,sK15_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f162,f128]) ).

fof(f164,plain,
    ( rel_str(sK17_skl)
    | ~ one_sorted_str(sK15_skl) ),
    inference(resolution,[status(thm)],[f163,f64]) ).

fof(f165,plain,
    rel_str(sK17_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f164,f126]) ).

fof(f166,plain,
    ( subrelstr(sK17_skl,sK16_skl)
    | ~ subnetstr(sK17_skl,sK15_skl,sK16_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f154,f128]) ).

fof(f167,plain,
    subrelstr(sK17_skl,sK16_skl),
    inference(resolution,[status(thm)],[f166,f131]) ).

fof(f175,plain,
    ( full_subrelstr(sK17_skl,sK16_skl)
    | ~ subnetstr(sK17_skl,sK15_skl,sK16_skl)
    | ~ net_str(sK16_skl,sK15_skl)
    | ~ one_sorted_str(sK15_skl) ),
    inference(resolution,[status(thm)],[f58,f130]) ).

fof(f176,plain,
    ( full_subrelstr(sK17_skl,sK16_skl)
    | ~ subnetstr(sK17_skl,sK15_skl,sK16_skl)
    | ~ net_str(sK16_skl,sK15_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f126]) ).

fof(f177,plain,
    ( full_subrelstr(sK17_skl,sK16_skl)
    | ~ subnetstr(sK17_skl,sK15_skl,sK16_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f176,f128]) ).

fof(f178,plain,
    full_subrelstr(sK17_skl,sK16_skl),
    inference(resolution,[status(thm)],[f177,f131]) ).

fof(f182,plain,
    one_sorted_str(sK17_skl),
    inference(resolution,[status(thm)],[f62,f165]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( related(X1,X2,X3)
      | ~ in(X3,the_carrier(X1))
      | ~ in(X2,the_carrier(X1))
      | ~ related(X0,X2,X3)
      | ~ element(X3,the_carrier(X1))
      | ~ element(X3,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ subrelstr(X1,X0)
      | ~ full_subrelstr(X1,X0)
      | ~ rel_str(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f152,f123]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( related(X0,X1,sK19_skl)
      | ~ in(sK19_skl,the_carrier(X0))
      | ~ in(X1,the_carrier(X0))
      | ~ related(sK16_skl,X1,sK19_skl)
      | ~ element(sK19_skl,the_carrier(X0))
      | ~ element(X1,the_carrier(sK16_skl))
      | ~ subrelstr(X0,sK16_skl)
      | ~ full_subrelstr(X0,sK16_skl)
      | ~ rel_str(sK16_skl) ),
    inference(resolution,[status(thm)],[f212,f133]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( related(X0,X1,sK19_skl)
      | ~ in(sK19_skl,the_carrier(X0))
      | ~ in(X1,the_carrier(X0))
      | ~ related(sK16_skl,X1,sK19_skl)
      | ~ element(sK19_skl,the_carrier(X0))
      | ~ element(X1,the_carrier(sK16_skl))
      | ~ subrelstr(X0,sK16_skl)
      | ~ full_subrelstr(X0,sK16_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f218,f156]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( related(X0,X1,sK19_skl)
      | ~ in(sK19_skl,the_carrier(X0))
      | ~ in(X1,the_carrier(X0))
      | ~ related(sK16_skl,X1,sK19_skl)
      | ~ element(X1,the_carrier(sK16_skl))
      | ~ subrelstr(X0,sK16_skl)
      | ~ full_subrelstr(X0,sK16_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f238,f123]) ).

fof(f283,plain,
    ! [X0] :
      ( related(X0,sK18_skl,sK19_skl)
      | ~ in(sK19_skl,the_carrier(X0))
      | ~ in(sK18_skl,the_carrier(X0))
      | ~ element(sK18_skl,the_carrier(sK16_skl))
      | ~ subrelstr(X0,sK16_skl)
      | ~ full_subrelstr(X0,sK16_skl) ),
    inference(resolution,[status(thm)],[f282,f138]) ).

fof(f297,plain,
    ! [X0] :
      ( related(X0,sK18_skl,sK19_skl)
      | ~ in(sK19_skl,the_carrier(X0))
      | ~ in(sK18_skl,the_carrier(X0))
      | ~ subrelstr(X0,sK16_skl)
      | ~ full_subrelstr(X0,sK16_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f283,f132]) ).

fof(f315,plain,
    ( ~ in(sK19_skl,the_carrier(sK17_skl))
    | ~ in(sK18_skl,the_carrier(sK17_skl))
    | ~ subrelstr(sK17_skl,sK16_skl)
    | ~ full_subrelstr(sK17_skl,sK16_skl) ),
    inference(resolution,[status(thm)],[f297,f160]) ).

fof(f319,plain,
    ( ~ in(sK19_skl,the_carrier(sK17_skl))
    | ~ in(sK18_skl,the_carrier(sK17_skl))
    | ~ subrelstr(sK17_skl,sK16_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f315,f178]) ).

fof(f322,plain,
    ( ~ in(sK19_skl,the_carrier(sK17_skl))
    | ~ in(sK18_skl,the_carrier(sK17_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f319,f167]) ).

fof(f323,plain,
    ( empty(the_carrier(sK17_skl))
    | ~ element(sK19_skl,the_carrier(sK17_skl))
    | ~ in(sK18_skl,the_carrier(sK17_skl)) ),
    inference(resolution,[status(thm)],[f322,f141]) ).

fof(f324,plain,
    ( empty(the_carrier(sK17_skl))
    | ~ in(sK18_skl,the_carrier(sK17_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f323,f158]) ).

fof(f325,plain,
    ~ in(sK18_skl,the_carrier(sK17_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f324,f148]) ).

fof(f326,plain,
    ( empty(the_carrier(sK17_skl))
    | ~ element(sK18_skl,the_carrier(sK17_skl)) ),
    inference(resolution,[status(thm)],[f325,f141]) ).

fof(f327,plain,
    empty(the_carrier(sK17_skl)),
    inference(forward_subsumption_resolution,[status(thm)],[f326,f157]) ).

fof(f328,plain,
    ( ~ one_sorted_str(sK17_skl)
    | empty_carrier(sK17_skl) ),
    inference(resolution,[status(thm)],[f327,f88]) ).

fof(f331,plain,
    ~ one_sorted_str(sK17_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f328,f129]) ).

fof(f332,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f331,f182]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU375+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % Computer : n007.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 06:14:51 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.39  % Drodi V4.1.1
% 0.12/0.42  % Refutation found
% 0.12/0.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45  % Elapsed time: 0.066395 seconds
% 0.12/0.45  % CPU time: 0.171934 seconds
% 0.12/0.45  % Total memory used: 104.459 MB
% 0.12/0.45  % Net memory used: 104.379 MB
%------------------------------------------------------------------------------