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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SEU361+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 02:20:17 PM UTC 2026

% Result   : Theorem 150.32s 19.90s
% Output   : CNFRefutation 150.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  14 unt;   6 def)
%            Number of atoms       :  292 (  21 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  362 ( 144   ~; 144   |;  47   &)
%                                         (  11 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   7 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   98 (  90   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,axiom,
    ! [A] :
      ( rel_str(A)
     => bottom_of_relstr(A) = join_on_relstr(A,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,axiom,
    ! [A] :
      ( A = empty_set
    <=> ! [B] : ~ in(B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f158,axiom,
    ! [A] :
      ( rel_str(A)
     => ! [B,C] :
          ( element(C,the_carrier(A))
         => ( relstr_set_smaller(A,B,C)
          <=> ! [D] :
                ( element(D,the_carrier(A))
               => ( in(D,B)
                 => related(A,D,C) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f161,axiom,
    ! [A] :
      ( rel_str(A)
     => ! [B,C] :
          ( element(C,the_carrier(A))
         => ( ex_sup_of_relstr_set(A,B)
           => ( C = join_on_relstr(A,B)
            <=> ( ! [D] :
                    ( element(D,the_carrier(A))
                   => ( relstr_set_smaller(A,B,D)
                     => related(A,C,D) ) )
                & relstr_set_smaller(A,B,C) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f206,axiom,
    ! [A] :
      ( rel_str(A)
     => element(bottom_of_relstr(A),the_carrier(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f605,lemma,
    ! [A] :
      ( ( rel_str(A)
        & lower_bounded_relstr(A)
        & antisymmetric_relstr(A)
        & ~ empty_carrier(A) )
     => ( ex_inf_of_relstr_set(A,the_carrier(A))
        & ex_sup_of_relstr_set(A,empty_set) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f610,conjecture,
    ! [A] :
      ( ( rel_str(A)
        & lower_bounded_relstr(A)
        & antisymmetric_relstr(A)
        & ~ empty_carrier(A) )
     => ! [B] :
          ( element(B,the_carrier(A))
         => related(A,bottom_of_relstr(A),B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f611,negated_conjecture,
    ~ ! [A] :
        ( ( rel_str(A)
          & lower_bounded_relstr(A)
          & antisymmetric_relstr(A)
          & ~ empty_carrier(A) )
       => ! [B] :
            ( element(B,the_carrier(A))
           => related(A,bottom_of_relstr(A),B) ) ),
    inference(negated_conjecture,[status(cth)],[f610]) ).

fof(f885,plain,
    ! [A] :
      ( bottom_of_relstr(A) = join_on_relstr(A,empty_set)
      | ~ rel_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f56]) ).

fof(f886,plain,
    ! [X0] :
      ( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f885]) ).

fof(f1144,plain,
    ! [A] :
      ( ( ? [B] : in(B,A)
        | A = empty_set )
      & ( ! [B] : ~ in(B,A)
        | A != empty_set ) ),
    inference(NNF_transformation,[status(thm)],[f91]) ).

fof(f1145,plain,
    ( ! [A] :
        ( ? [B] : in(B,A)
        | A = empty_set )
    & ! [A] :
        ( ! [B] : ~ in(B,A)
        | A != empty_set ) ),
    inference(miniscoping,[status(thm)],[f1144]) ).

fof(f1146,plain,
    ( ! [A] :
        ( in(sK49_skl(A),A)
        | A = empty_set )
    & ! [A] :
        ( ! [B] : ~ in(B,A)
        | A != empty_set ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK49_skl]),skolemize(B,sK49_skl(A))],[f1145]) ).

fof(f1147,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | X0 != empty_set ),
    inference(cnf_transformation,[status(thm)],[f1146]) ).

fof(f1602,plain,
    ! [A] :
      ( ! [B,C] :
          ( ( relstr_set_smaller(A,B,C)
          <=> ! [D] :
                ( related(A,D,C)
                | ~ in(D,B)
                | ~ element(D,the_carrier(A)) ) )
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f158]) ).

fof(f1603,plain,
    ! [A] :
      ( ! [B,C] :
          ( ( ( ? [D] :
                  ( ~ related(A,D,C)
                  & in(D,B)
                  & element(D,the_carrier(A)) )
              | relstr_set_smaller(A,B,C) )
            & ( ! [D] :
                  ( related(A,D,C)
                  | ~ in(D,B)
                  | ~ element(D,the_carrier(A)) )
              | ~ relstr_set_smaller(A,B,C) ) )
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(NNF_transformation,[status(thm)],[f1602]) ).

fof(f1604,plain,
    ! [A] :
      ( ! [C] :
          ( ( ! [B] :
                ( ? [D] :
                    ( ~ related(A,D,C)
                    & in(D,B)
                    & element(D,the_carrier(A)) )
                | relstr_set_smaller(A,B,C) )
            & ! [B] :
                ( ! [D] :
                    ( related(A,D,C)
                    | ~ in(D,B)
                    | ~ element(D,the_carrier(A)) )
                | ~ relstr_set_smaller(A,B,C) ) )
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(miniscoping,[status(thm)],[f1603]) ).

fof(f1605,plain,
    ! [A] :
      ( ! [C] :
          ( ( ! [B] :
                ( ( ~ related(A,sK123_skl(B,C,A),C)
                  & in(sK123_skl(B,C,A),B)
                  & element(sK123_skl(B,C,A),the_carrier(A)) )
                | relstr_set_smaller(A,B,C) )
            & ! [B] :
                ( ! [D] :
                    ( related(A,D,C)
                    | ~ in(D,B)
                    | ~ element(D,the_carrier(A)) )
                | ~ relstr_set_smaller(A,B,C) ) )
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK123_skl]),skolemize(D,sK123_skl(B,C,A))],[f1604]) ).

fof(f1608,plain,
    ! [X0,X1,X2] :
      ( in(sK123_skl(X2,X1,X0),X2)
      | relstr_set_smaller(X0,X2,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f1605]) ).

fof(f1618,plain,
    ! [A] :
      ( ! [B,C] :
          ( ( C = join_on_relstr(A,B)
          <=> ( ! [D] :
                  ( related(A,C,D)
                  | ~ relstr_set_smaller(A,B,D)
                  | ~ element(D,the_carrier(A)) )
              & relstr_set_smaller(A,B,C) ) )
          | ~ ex_sup_of_relstr_set(A,B)
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f161]) ).

fof(f1619,plain,
    ! [A] :
      ( ! [B,C] :
          ( ( ( ? [D] :
                  ( ~ related(A,C,D)
                  & relstr_set_smaller(A,B,D)
                  & element(D,the_carrier(A)) )
              | ~ relstr_set_smaller(A,B,C)
              | C = join_on_relstr(A,B) )
            & ( ( ! [D] :
                    ( related(A,C,D)
                    | ~ relstr_set_smaller(A,B,D)
                    | ~ element(D,the_carrier(A)) )
                & relstr_set_smaller(A,B,C) )
              | C != join_on_relstr(A,B) ) )
          | ~ ex_sup_of_relstr_set(A,B)
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(NNF_transformation,[status(thm)],[f1618]) ).

fof(f1620,plain,
    ! [A] :
      ( ! [C] :
          ( ! [B] :
              ( ( ( ? [D] :
                      ( ~ related(A,C,D)
                      & relstr_set_smaller(A,B,D)
                      & element(D,the_carrier(A)) )
                  | ~ relstr_set_smaller(A,B,C)
                  | C = join_on_relstr(A,B) )
                & ( ( ! [D] :
                        ( related(A,C,D)
                        | ~ relstr_set_smaller(A,B,D)
                        | ~ element(D,the_carrier(A)) )
                    & relstr_set_smaller(A,B,C) )
                  | C != join_on_relstr(A,B) ) )
              | ~ ex_sup_of_relstr_set(A,B) )
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(miniscoping,[status(thm)],[f1619]) ).

fof(f1621,plain,
    ! [A] :
      ( ! [C] :
          ( ! [B] :
              ( ( ( ( ~ related(A,C,sK124_skl(B,C,A))
                    & relstr_set_smaller(A,B,sK124_skl(B,C,A))
                    & element(sK124_skl(B,C,A),the_carrier(A)) )
                  | ~ relstr_set_smaller(A,B,C)
                  | C = join_on_relstr(A,B) )
                & ( ( ! [D] :
                        ( related(A,C,D)
                        | ~ relstr_set_smaller(A,B,D)
                        | ~ element(D,the_carrier(A)) )
                    & relstr_set_smaller(A,B,C) )
                  | C != join_on_relstr(A,B) ) )
              | ~ ex_sup_of_relstr_set(A,B) )
          | ~ element(C,the_carrier(A)) )
      | ~ rel_str(A) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK124_skl]),skolemize(D,sK124_skl(B,C,A))],[f1620]) ).

fof(f1623,plain,
    ! [X0,X1,X2,X3] :
      ( related(X0,X1,X3)
      | ~ relstr_set_smaller(X0,X2,X3)
      | ~ element(X3,the_carrier(X0))
      | X1 != join_on_relstr(X0,X2)
      | ~ ex_sup_of_relstr_set(X0,X2)
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f1621]) ).

fof(f1689,plain,
    ! [A] :
      ( element(bottom_of_relstr(A),the_carrier(A))
      | ~ rel_str(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f206]) ).

fof(f1690,plain,
    ! [X0] :
      ( element(bottom_of_relstr(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[status(thm)],[f1689]) ).

fof(f3382,plain,
    ! [A] :
      ( ( ex_inf_of_relstr_set(A,the_carrier(A))
        & ex_sup_of_relstr_set(A,empty_set) )
      | ~ rel_str(A)
      | ~ lower_bounded_relstr(A)
      | ~ antisymmetric_relstr(A)
      | empty_carrier(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f605]) ).

fof(f3383,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[status(thm)],[f3382]) ).

fof(f3398,plain,
    ? [A] :
      ( ? [B] :
          ( ~ related(A,bottom_of_relstr(A),B)
          & element(B,the_carrier(A)) )
      & rel_str(A)
      & lower_bounded_relstr(A)
      & antisymmetric_relstr(A)
      & ~ empty_carrier(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f611]) ).

fof(f3399,plain,
    ( ~ related(sK392_skl,bottom_of_relstr(sK392_skl),sK393_skl)
    & element(sK393_skl,the_carrier(sK392_skl))
    & rel_str(sK392_skl)
    & lower_bounded_relstr(sK392_skl)
    & antisymmetric_relstr(sK392_skl)
    & ~ empty_carrier(sK392_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK392_skl,sK393_skl]),skolemize(A,sK392_skl),skolemize(B,sK393_skl)],[f3398]) ).

fof(f3400,plain,
    ~ empty_carrier(sK392_skl),
    inference(cnf_transformation,[status(thm)],[f3399]) ).

fof(f3401,plain,
    antisymmetric_relstr(sK392_skl),
    inference(cnf_transformation,[status(thm)],[f3399]) ).

fof(f3402,plain,
    lower_bounded_relstr(sK392_skl),
    inference(cnf_transformation,[status(thm)],[f3399]) ).

fof(f3403,plain,
    rel_str(sK392_skl),
    inference(cnf_transformation,[status(thm)],[f3399]) ).

fof(f3404,plain,
    element(sK393_skl,the_carrier(sK392_skl)),
    inference(cnf_transformation,[status(thm)],[f3399]) ).

fof(f3405,plain,
    ~ related(sK392_skl,bottom_of_relstr(sK392_skl),sK393_skl),
    inference(cnf_transformation,[status(thm)],[f3399]) ).

fof(f4520,plain,
    ! [X0] : ~ in(X0,empty_set),
    inference(destructive_equality_resolution,[status(thm)],[f1147]) ).

fof(f4576,plain,
    ! [X0,X1,X2] :
      ( related(X0,join_on_relstr(X0,X1),X2)
      | ~ relstr_set_smaller(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X1)
      | ~ element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f1623]) ).

fof(f4795,plain,
    bottom_of_relstr(sK392_skl) = join_on_relstr(sK392_skl,empty_set),
    inference(resolution,[status(thm)],[f3403,f886]) ).

fof(f6203,definition,
    ( sQ71_spl
  <=> rel_str(sK392_skl) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f6205,plain,
    ( sQ71_spl
    | ~ rel_str(sK392_skl) ),
    inference(component_clause,[status(thm)],[f6203]) ).

fof(f6211,plain,
    ( sQ71_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f6205,f3403]) ).

fof(f6212,plain,
    sQ71_spl,
    inference(contradiction_clause,[status(thm)],[f6211]) ).

fof(f6337,definition,
    ( sQ96_spl
  <=> lower_bounded_relstr(sK392_skl) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f6339,plain,
    ( sQ96_spl
    | ~ lower_bounded_relstr(sK392_skl) ),
    inference(component_clause,[status(thm)],[f6337]) ).

fof(f6341,plain,
    ( sQ96_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f6339,f3402]) ).

fof(f6342,plain,
    sQ96_spl,
    inference(contradiction_clause,[status(thm)],[f6341]) ).

fof(f6345,definition,
    ( sQ97_spl
  <=> empty_carrier(sK392_skl) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f6346,plain,
    ( ~ sQ97_spl
    | empty_carrier(sK392_skl) ),
    inference(component_clause,[status(thm)],[f6345]) ).

fof(f6348,definition,
    ( sQ98_spl
  <=> antisymmetric_relstr(sK392_skl) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f6350,plain,
    ( sQ98_spl
    | ~ antisymmetric_relstr(sK392_skl) ),
    inference(component_clause,[status(thm)],[f6348]) ).

fof(f6352,plain,
    ( sQ98_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f6350,f3401]) ).

fof(f6353,plain,
    sQ98_spl,
    inference(contradiction_clause,[status(thm)],[f6352]) ).

fof(f6354,plain,
    ( ~ sQ97_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f6346,f3400]) ).

fof(f6355,plain,
    ~ sQ97_spl,
    inference(contradiction_clause,[status(thm)],[f6354]) ).

fof(f8301,plain,
    ! [X0,X1] :
      ( in(sK123_skl(X1,X0,sK392_skl),X1)
      | relstr_set_smaller(sK392_skl,X1,X0)
      | ~ element(X0,the_carrier(sK392_skl)) ),
    inference(resolution,[status(thm)],[f1608,f3403]) ).

fof(f8771,plain,
    ! [X0,X1] :
      ( ~ rel_str(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0)
      | related(X0,join_on_relstr(X0,empty_set),X1)
      | ~ relstr_set_smaller(X0,empty_set,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ element(join_on_relstr(X0,empty_set),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(resolution,[status(thm)],[f4576,f3383]) ).

fof(f8772,plain,
    ! [X0,X1] :
      ( ~ lower_bounded_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | empty_carrier(X0)
      | related(X0,join_on_relstr(X0,empty_set),X1)
      | ~ relstr_set_smaller(X0,empty_set,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ element(join_on_relstr(X0,empty_set),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f8771]) ).

fof(f8896,definition,
    ( sQ410_spl
  <=> element(join_on_relstr(sK392_skl,empty_set),the_carrier(sK392_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).

fof(f8898,plain,
    ( sQ410_spl
    | ~ element(join_on_relstr(sK392_skl,empty_set),the_carrier(sK392_skl)) ),
    inference(component_clause,[status(thm)],[f8896]) ).

fof(f8904,plain,
    ( sQ410_spl
    | ~ element(bottom_of_relstr(sK392_skl),the_carrier(sK392_skl)) ),
    inference(forward_demodulation,[status(thm)],[f4795,f8898]) ).

fof(f8906,plain,
    ! [X0] :
      ( in(sK123_skl(empty_set,X0,sK392_skl),empty_set)
      | ~ element(X0,the_carrier(sK392_skl))
      | ~ lower_bounded_relstr(sK392_skl)
      | ~ antisymmetric_relstr(sK392_skl)
      | empty_carrier(sK392_skl)
      | related(sK392_skl,join_on_relstr(sK392_skl,empty_set),X0)
      | ~ element(X0,the_carrier(sK392_skl))
      | ~ element(join_on_relstr(sK392_skl,empty_set),the_carrier(sK392_skl))
      | ~ rel_str(sK392_skl) ),
    inference(resolution,[status(thm)],[f8772,f8301]) ).

fof(f8907,definition,
    ! [X0] :
      ( sQ412_spl
    <=> ( in(sK123_skl(empty_set,X0,sK392_skl),empty_set)
        | ~ element(X0,the_carrier(sK392_skl))
        | related(sK392_skl,join_on_relstr(sK392_skl,empty_set),X0)
        | ~ element(X0,the_carrier(sK392_skl)) ) ),
    introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).

fof(f8908,plain,
    ! [X0] :
      ( ~ sQ412_spl
      | in(sK123_skl(empty_set,X0,sK392_skl),empty_set)
      | ~ element(X0,the_carrier(sK392_skl))
      | related(sK392_skl,join_on_relstr(sK392_skl,empty_set),X0)
      | ~ element(X0,the_carrier(sK392_skl)) ),
    inference(component_clause,[status(thm)],[f8907]) ).

fof(f8910,plain,
    ( ~ sQ96_spl
    | ~ sQ98_spl
    | sQ97_spl
    | sQ412_spl
    | ~ sQ410_spl
    | ~ sQ71_spl ),
    inference(split_clause,[status(thm)],[f8906,f6203,f8896,f8907,f6345,f6348,f6337]) ).

fof(f8911,plain,
    ! [X0] :
      ( ~ sQ412_spl
      | in(sK123_skl(empty_set,X0,sK392_skl),empty_set)
      | ~ element(X0,the_carrier(sK392_skl))
      | related(sK392_skl,bottom_of_relstr(sK392_skl),X0)
      | ~ element(X0,the_carrier(sK392_skl)) ),
    inference(forward_demodulation,[status(thm)],[f4795,f8908]) ).

fof(f8912,plain,
    ! [X0] :
      ( ~ sQ412_spl
      | in(sK123_skl(empty_set,X0,sK392_skl),empty_set)
      | related(sK392_skl,bottom_of_relstr(sK392_skl),X0)
      | ~ element(X0,the_carrier(sK392_skl)) ),
    inference(duplicate_literals_removal,[status(thm)],[f8911]) ).

fof(f8913,plain,
    ! [X0] :
      ( ~ sQ412_spl
      | related(sK392_skl,bottom_of_relstr(sK392_skl),X0)
      | ~ element(X0,the_carrier(sK392_skl)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f8912,f4520]) ).

fof(f8914,plain,
    ( sQ410_spl
    | ~ rel_str(sK392_skl) ),
    inference(resolution,[status(thm)],[f8904,f1690]) ).

fof(f8917,plain,
    ( sQ410_spl
    | ~ sQ71_spl ),
    inference(split_clause,[status(thm)],[f8914,f6203,f8896]) ).

fof(f8919,plain,
    ( ~ sQ412_spl
    | ~ element(sK393_skl,the_carrier(sK392_skl)) ),
    inference(resolution,[status(thm)],[f8913,f3405]) ).

fof(f8927,plain,
    ( ~ sQ412_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8919,f3404]) ).

fof(f8928,plain,
    ~ sQ412_spl,
    inference(contradiction_clause,[status(thm)],[f8927]) ).

fof(f8929,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f6212,f6342,f6353,f6355,f8910,f8917,f8928]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SEU361+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  % Computer : n017.cluster.edu
% 0.17/0.44  % Model    : x86_64 x86_64
% 0.17/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44  % Memory   : 8046.5625MB
% 0.17/0.44  % OS       : Linux 6.8.0-71-generic
% 0.17/0.44  % CPULimit : 300
% 0.17/0.44  % WCLimit  : 300
% 0.17/0.44  % DateTime : Mon Sep 21 06:10:56 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.21/0.56  % Drodi V4.1.1
% 150.32/19.90  % Refutation found
% 150.32/19.90  % SZS status Theorem for theBenchmark: Theorem is valid
% 150.32/19.90  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.01/20.04  % Elapsed time: 19.568060 seconds
% 19.01/20.04  % CPU time: 153.911526 seconds
% 19.01/20.04  % Total memory used: 672.365 MB
% 19.01/20.04  % Net memory used: 619.277 MB
%------------------------------------------------------------------------------