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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SET853-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 02:10:49 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.41s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   72 (  18 unt;  10 def)
%            Number of atoms       :  187 (  18 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  198 (  83   ~; 105   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  11 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [V_U] :
      ( ~ c_in(V_U,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(V_U,v_x,tc_set(tc_set(t_a)))
      | V_U = v_x
      | c_lessequals(c_Zorn_Osucc(v_S,V_U,t_a),v_x,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [V_B,V_A,T_a] :
      ( V_A = V_B
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [V_m,V_S,T_a,V_n] :
      ( c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a)))
      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [V_m,V_S,T_a,V_n] :
      ( c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))
      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [V_m,V_S,T_a,V_n] :
      ( c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a)))
      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
      | c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a) != V_m
      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [V_m,V_S,T_a,V_n] :
      ( c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a)))
      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
      | ~ c_lessequals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))
      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
      | ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [V_x,V_y,T_a,V_S] :
      ( c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a)))
      | ~ c_lessequals(V_x,V_y,tc_set(tc_set(T_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,plain,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f15,plain,
    c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f16,plain,
    c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f17,plain,
    v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f18,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | X0 = v_x
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_x,tc_set(tc_set(t_a))) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f20,plain,
    ! [V_B,V_A] :
      ( V_A = V_B
      | ! [T_a] :
          ( ~ c_lessequals(V_A,V_B,tc_set(T_a))
          | ~ c_lessequals(V_B,V_A,tc_set(T_a)) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( X1 = X0
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f22,plain,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != X0
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f27,plain,
    ! [V_x,V_y,T_a] :
      ( ! [V_S] : c_lessequals(V_x,c_Zorn_Osucc(V_S,V_y,T_a),tc_set(tc_set(T_a)))
      | ~ c_lessequals(V_x,V_y,tc_set(tc_set(T_a))) ),
    inference(miniscoping,[status(thm)],[f13]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f30,plain,
    ( v_xa = c_Zorn_Osucc(v_S,v_x,t_a)
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f21,f16]) ).

fof(f31,definition,
    ( sQ0_spl
  <=> c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f33,plain,
    ( sQ0_spl
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
    inference(component_clause,[status(thm)],[f31]) ).

fof(f34,definition,
    ( sQ1_spl
  <=> v_xa = c_Zorn_Osucc(v_S,v_x,t_a) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f35,plain,
    ( ~ sQ1_spl
    | v_xa = c_Zorn_Osucc(v_S,v_x,t_a) ),
    inference(component_clause,[status(thm)],[f34]) ).

fof(f37,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f30,f31,f34]) ).

fof(f39,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
    inference(resolution,[status(thm)],[f28,f18]) ).

fof(f41,plain,
    ( ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | v_xa = v_x ),
    inference(resolution,[status(thm)],[f39,f19]) ).

fof(f42,definition,
    ( sQ2_spl
  <=> v_xa = v_x ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f43,plain,
    ( ~ sQ2_spl
    | v_xa = v_x ),
    inference(component_clause,[status(thm)],[f42]) ).

fof(f45,definition,
    ( sQ3_spl
  <=> c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f48,definition,
    ( sQ4_spl
  <=> c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f50,plain,
    ( sQ4_spl
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(component_clause,[status(thm)],[f48]) ).

fof(f51,plain,
    ( ~ sQ4_spl
    | ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f41,f42,f45,f48]) ).

fof(f52,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f50,f15]) ).

fof(f53,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f52]) ).

fof(f56,plain,
    ( ~ sQ2_spl
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
    inference(backward_demodulation,[status(thm)],[f43,f18]) ).

fof(f60,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f56,f22]) ).

fof(f61,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f60]) ).

fof(f93,definition,
    ( sQ8_spl
  <=> c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f95,plain,
    ( sQ8_spl
    | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(component_clause,[status(thm)],[f93]) ).

fof(f97,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f95,f14]) ).

fof(f98,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f97]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
      | c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f26,f19]) ).

fof(f103,definition,
    ! [X0] :
      ( sQ9_spl
    <=> ( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
        | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(component_clause,[status(thm)],[f103]) ).

fof(f106,definition,
    ( sQ10_spl
  <=> c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f107,plain,
    ( ~ sQ10_spl
    | c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
    inference(component_clause,[status(thm)],[f106]) ).

fof(f109,definition,
    ( sQ11_spl
  <=> c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f111,plain,
    ( sQ11_spl
    | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))) ),
    inference(component_clause,[status(thm)],[f109]) ).

fof(f112,definition,
    ( sQ12_spl
  <=> c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f114,plain,
    ( sQ12_spl
    | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(component_clause,[status(thm)],[f112]) ).

fof(f115,plain,
    ( ~ sQ12_spl
    | ~ sQ11_spl
    | sQ10_spl
    | sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f101,f93,f103,f106,f109,f112]) ).

fof(f116,plain,
    ! [X0] :
      ( sQ12_spl
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f114,f23]) ).

fof(f117,plain,
    ( sQ12_spl
    | sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f116,f93,f103,f112]) ).

fof(f118,plain,
    ( sQ0_spl
    | ~ sQ9_spl
    | c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
    | ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f104,f33]) ).

fof(f124,plain,
    ( sQ0_spl
    | ~ sQ9_spl
    | sQ3_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f118,f48,f45,f103,f31]) ).

fof(f125,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f35,f17]) ).

fof(f126,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f125]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f107,f25]) ).

fof(f133,plain,
    ( ~ sQ10_spl
    | sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f127,f93,f103,f106]) ).

fof(f142,plain,
    ! [X0] :
      ( sQ11_spl
      | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),X0,tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[status(thm)],[f111,f24]) ).

fof(f143,plain,
    ( sQ11_spl
    | sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f142,f93,f103,f109]) ).

fof(f144,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f37,f51,f53,f61,f98,f115,f117,f124,f126,f133,f143]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET853-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 05:42:18 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.39  % Drodi V4.1.1
% 0.10/0.41  % Refutation found
% 0.10/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46  % Elapsed time: 0.077986 seconds
% 0.14/0.46  % CPU time: 0.134864 seconds
% 0.14/0.46  % Total memory used: 26.363 MB
% 0.14/0.46  % Net memory used: 26.253 MB
%------------------------------------------------------------------------------