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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SET934+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 : n006.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 02:11:00 PM UTC 2026

% Result   : Theorem 25.70s 3.90s
% Output   : CNFRefutation 25.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   83 (  19 unt;   8 def)
%            Number of atoms       :  243 (  23 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  261 ( 101   ~; 113   |;  31   &)
%                                         (  14 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  152 ( 144   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] : set_union2(A,B) = set_union2(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] :
      ( B = powerset(A)
    <=> ! [C] :
          ( in(C,B)
        <=> subset(C,A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B,C] :
      ( C = set_union2(A,B)
    <=> ! [D] :
          ( in(D,C)
        <=> ( in(D,B)
            | in(D,A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( in(C,A)
         => in(C,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B] : set_union2(A,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A,B,C] :
      ( ( subset(B,C)
        & subset(A,B) )
     => subset(A,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [A,B] : subset(A,set_union2(A,B)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,conjecture,
    ! [A,B] : subset(set_union2(powerset(A),powerset(B)),powerset(set_union2(A,B))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ ! [A,B] : subset(set_union2(powerset(A),powerset(B)),powerset(set_union2(A,B))),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f18,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f19,plain,
    ! [A,B] :
      ( ( ? [C] :
            ( ( subset(C,A)
              | in(C,B) )
            & ( ~ subset(C,A)
              | ~ in(C,B) ) )
        | B = powerset(A) )
      & ( ! [C] :
            ( ( ~ subset(C,A)
              | in(C,B) )
            & ( subset(C,A)
              | ~ in(C,B) ) )
        | B != powerset(A) ) ),
    inference(NNF_transformation,[status(thm)],[f3]) ).

fof(f20,plain,
    ( ! [A,B] :
        ( ? [C] :
            ( ( subset(C,A)
              | in(C,B) )
            & ( ~ subset(C,A)
              | ~ in(C,B) ) )
        | B = powerset(A) )
    & ! [A,B] :
        ( ( ! [C] :
              ( ~ subset(C,A)
              | in(C,B) )
          & ! [C] :
              ( subset(C,A)
              | ~ in(C,B) ) )
        | B != powerset(A) ) ),
    inference(miniscoping,[status(thm)],[f19]) ).

fof(f21,plain,
    ( ! [A,B] :
        ( ( ( subset(sK0_skl(B,A),A)
            | in(sK0_skl(B,A),B) )
          & ( ~ subset(sK0_skl(B,A),A)
            | ~ in(sK0_skl(B,A),B) ) )
        | B = powerset(A) )
    & ! [A,B] :
        ( ( ! [C] :
              ( ~ subset(C,A)
              | in(C,B) )
          & ! [C] :
              ( subset(C,A)
              | ~ in(C,B) ) )
        | B != powerset(A) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( subset(X2,X1)
      | ~ in(X2,X0)
      | X0 != powerset(X1) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X2,X1)
      | in(X2,X0)
      | X0 != powerset(X1) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f26,plain,
    ! [A,B,C] :
      ( ( ? [D] :
            ( ( in(D,B)
              | in(D,A)
              | in(D,C) )
            & ( ( ~ in(D,B)
                & ~ in(D,A) )
              | ~ in(D,C) ) )
        | C = set_union2(A,B) )
      & ( ! [D] :
            ( ( ( ~ in(D,B)
                & ~ in(D,A) )
              | in(D,C) )
            & ( in(D,B)
              | in(D,A)
              | ~ in(D,C) ) )
        | C != set_union2(A,B) ) ),
    inference(NNF_transformation,[status(thm)],[f4]) ).

fof(f27,plain,
    ( ! [A,B,C] :
        ( ? [D] :
            ( ( in(D,B)
              | in(D,A)
              | in(D,C) )
            & ( ( ~ in(D,B)
                & ~ in(D,A) )
              | ~ in(D,C) ) )
        | C = set_union2(A,B) )
    & ! [A,B,C] :
        ( ( ! [D] :
              ( ( ~ in(D,B)
                & ~ in(D,A) )
              | in(D,C) )
          & ! [D] :
              ( in(D,B)
              | in(D,A)
              | ~ in(D,C) ) )
        | C != set_union2(A,B) ) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f28,plain,
    ( ! [A,B,C] :
        ( ( ( in(sK1_skl(C,B,A),B)
            | in(sK1_skl(C,B,A),A)
            | in(sK1_skl(C,B,A),C) )
          & ( ( ~ in(sK1_skl(C,B,A),B)
              & ~ in(sK1_skl(C,B,A),A) )
            | ~ in(sK1_skl(C,B,A),C) ) )
        | C = set_union2(A,B) )
    & ! [A,B,C] :
        ( ( ! [D] :
              ( ( ~ in(D,B)
                & ~ in(D,A) )
              | in(D,C) )
          & ! [D] :
              ( in(D,B)
              | in(D,A)
              | ~ in(D,C) ) )
        | C != set_union2(A,B) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2,X3] :
      ( in(X3,X2)
      | in(X3,X1)
      | ~ in(X3,X0)
      | X0 != set_union2(X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( ~ in(X3,X2)
      | in(X3,X0)
      | X0 != set_union2(X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f35,plain,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( in(C,B)
          | ~ in(C,A) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f36,plain,
    ! [A,B] :
      ( ( ? [C] :
            ( ~ in(C,B)
            & in(C,A) )
        | subset(A,B) )
      & ( ! [C] :
            ( in(C,B)
            | ~ in(C,A) )
        | ~ subset(A,B) ) ),
    inference(NNF_transformation,[status(thm)],[f35]) ).

fof(f37,plain,
    ( ! [A,B] :
        ( ? [C] :
            ( ~ in(C,B)
            & in(C,A) )
        | subset(A,B) )
    & ! [A,B] :
        ( ! [C] :
            ( in(C,B)
            | ~ in(C,A) )
        | ~ subset(A,B) ) ),
    inference(miniscoping,[status(thm)],[f36]) ).

fof(f38,plain,
    ( ! [A,B] :
        ( ( ~ in(sK2_skl(B,A),B)
          & in(sK2_skl(B,A),A) )
        | subset(A,B) )
    & ! [A,B] :
        ( ! [C] :
            ( in(C,B)
            | ~ in(C,A) )
        | ~ subset(A,B) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f37]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( in(sK2_skl(X1,X0),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ in(sK2_skl(X1,X0),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f48,plain,
    ! [A] : set_union2(A,A) = A,
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f49,plain,
    ! [X0] : set_union2(X0,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f56,plain,
    ! [A,B,C] :
      ( subset(A,C)
      | ~ subset(B,C)
      | ~ subset(A,B) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f57,plain,
    ! [A,C] :
      ( subset(A,C)
      | ! [B] :
          ( ~ subset(B,C)
          | ~ subset(A,B) ) ),
    inference(miniscoping,[status(thm)],[f56]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f59,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f60,plain,
    ? [A,B] : ~ subset(set_union2(powerset(A),powerset(B)),powerset(set_union2(A,B))),
    inference(pre_NNF_transformation,[status(thm)],[f15]) ).

fof(f61,plain,
    ~ subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f60]) ).

fof(f62,plain,
    ~ subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(X0,powerset(X1)) ),
    inference(destructive_equality_resolution,[status(thm)],[f22]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | in(X0,powerset(X1)) ),
    inference(destructive_equality_resolution,[status(thm)],[f23]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( in(X0,X2)
      | in(X0,X1)
      | ~ in(X0,set_union2(X1,X2)) ),
    inference(destructive_equality_resolution,[status(thm)],[f29]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ~ in(X0,X2)
      | in(X0,set_union2(X1,X2)) ),
    inference(destructive_equality_resolution,[status(thm)],[f31]) ).

fof(f74,plain,
    ! [X0,X1] : subset(X0,set_union2(X1,X0)),
    inference(paramodulation,[status(thm)],[f18,f59]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3] :
      ( in(X0,X3)
      | ~ in(X0,set_union2(X3,X2))
      | in(X0,set_union2(X1,X2)) ),
    inference(resolution,[status(thm)],[f67,f65]) ).

fof(f160,plain,
    in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(powerset(sK5_skl),powerset(sK6_skl))),
    inference(resolution,[status(thm)],[f40,f62]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ subset(sK2_skl(powerset(X1),X0),X1)
      | subset(X0,powerset(X1)) ),
    inference(resolution,[status(thm)],[f41,f64]) ).

fof(f200,definition,
    ( sQ1_spl
  <=> in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),powerset(sK5_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f201,plain,
    ( ~ sQ1_spl
    | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),powerset(sK5_skl)) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f238,plain,
    ! [X0,X1,X2,X3] :
      ( in(X0,X3)
      | ~ in(X0,set_union2(X2,X3))
      | in(X0,set_union2(X1,X2)) ),
    inference(paramodulation,[status(thm)],[f18,f88]) ).

fof(f249,plain,
    ( ~ sQ1_spl
    | subset(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),sK5_skl) ),
    inference(resolution,[status(thm)],[f201,f63]) ).

fof(f524,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X2,X1)
      | ~ subset(sK2_skl(powerset(X1),X0),X2)
      | subset(X0,powerset(X1)) ),
    inference(resolution,[status(thm)],[f162,f58]) ).

fof(f566,definition,
    ! [X1] :
      ( sQ6_spl
    <=> in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),X1) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f567,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),X0) ),
    inference(component_clause,[status(thm)],[f566]) ).

fof(f681,definition,
    ( sQ9_spl
  <=> subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f682,plain,
    ( ~ sQ9_spl
    | subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))) ),
    inference(component_clause,[status(thm)],[f681]) ).

fof(f704,definition,
    ! [X0,X1] :
      ( sQ15_spl
    <=> in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(X0,X1)) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f705,plain,
    ! [X0,X1] :
      ( ~ sQ15_spl
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(X0,X1)) ),
    inference(component_clause,[status(thm)],[f704]) ).

fof(f962,plain,
    ( ~ sQ6_spl
    | subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))) ),
    inference(resolution,[status(thm)],[f567,f41]) ).

fof(f979,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f962,f62]) ).

fof(f980,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f979]) ).

fof(f1119,definition,
    ( sQ20_spl
  <=> in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),powerset(sK6_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f1120,plain,
    ( ~ sQ20_spl
    | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),powerset(sK6_skl)) ),
    inference(component_clause,[status(thm)],[f1119]) ).

fof(f1328,plain,
    ! [X0] :
      ( in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),powerset(sK6_skl))
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(X0,powerset(sK5_skl))) ),
    inference(resolution,[status(thm)],[f238,f160]) ).

fof(f1362,definition,
    ! [X0] :
      ( sQ21_spl
    <=> in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(X0,powerset(sK5_skl))) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f1363,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(X0,powerset(sK5_skl))) ),
    inference(component_clause,[status(thm)],[f1362]) ).

fof(f1365,plain,
    ( sQ20_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f1328,f1362,f1119]) ).

fof(f1368,plain,
    ( ~ sQ20_spl
    | subset(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),sK6_skl) ),
    inference(resolution,[status(thm)],[f1120,f63]) ).

fof(f2860,plain,
    ! [X0,X1] :
      ( ~ sQ21_spl
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),powerset(sK5_skl))
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),set_union2(X0,X1)) ),
    inference(resolution,[status(thm)],[f1363,f238]) ).

fof(f2873,plain,
    ( ~ sQ21_spl
    | sQ1_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f2860,f704,f200,f1362]) ).

fof(f2999,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | in(sK2_skl(powerset(set_union2(sK5_skl,sK6_skl)),set_union2(powerset(sK5_skl),powerset(sK6_skl))),X0) ),
    inference(paramodulation,[status(thm)],[f49,f705]) ).

fof(f3019,plain,
    ( ~ sQ15_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f2999,f566,f704]) ).

fof(f3297,plain,
    ( ~ sQ20_spl
    | ~ subset(sK6_skl,set_union2(sK5_skl,sK6_skl))
    | subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))) ),
    inference(resolution,[status(thm)],[f524,f1368]) ).

fof(f3305,definition,
    ( sQ39_spl
  <=> subset(sK6_skl,set_union2(sK5_skl,sK6_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f3307,plain,
    ( sQ39_spl
    | ~ subset(sK6_skl,set_union2(sK5_skl,sK6_skl)) ),
    inference(component_clause,[status(thm)],[f3305]) ).

fof(f3308,plain,
    ( ~ sQ20_spl
    | ~ sQ39_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f3297,f681,f3305,f1119]) ).

fof(f3310,plain,
    ( ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f682,f62]) ).

fof(f3311,plain,
    ~ sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f3310]) ).

fof(f3312,plain,
    ( sQ39_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3307,f74]) ).

fof(f3313,plain,
    sQ39_spl,
    inference(contradiction_clause,[status(thm)],[f3312]) ).

fof(f3349,plain,
    ( ~ sQ1_spl
    | ~ subset(sK5_skl,set_union2(sK5_skl,sK6_skl))
    | subset(set_union2(powerset(sK5_skl),powerset(sK6_skl)),powerset(set_union2(sK5_skl,sK6_skl))) ),
    inference(resolution,[status(thm)],[f249,f524]) ).

fof(f3361,definition,
    ( sQ40_spl
  <=> subset(sK5_skl,set_union2(sK5_skl,sK6_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f3363,plain,
    ( sQ40_spl
    | ~ subset(sK5_skl,set_union2(sK5_skl,sK6_skl)) ),
    inference(component_clause,[status(thm)],[f3361]) ).

fof(f3364,plain,
    ( ~ sQ1_spl
    | ~ sQ40_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f3349,f681,f3361,f200]) ).

fof(f3365,plain,
    ( sQ40_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3363,f59]) ).

fof(f3366,plain,
    sQ40_spl,
    inference(contradiction_clause,[status(thm)],[f3365]) ).

fof(f3367,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f980,f1365,f2873,f3019,f3308,f3311,f3313,f3364,f3366]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SET934+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n006.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Mon Sep 21 05:43:42 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.44  % Drodi V4.1.1
% 25.70/3.90  % Refutation found
% 25.70/3.90  % SZS status Theorem for theBenchmark: Theorem is valid
% 25.70/3.90  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.70/3.96  % Elapsed time: 3.518069 seconds
% 25.70/3.96  % CPU time: 27.446092 seconds
% 25.70/3.96  % Total memory used: 211.464 MB
% 25.70/3.96  % Net memory used: 187.983 MB
%------------------------------------------------------------------------------