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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.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 02:49:43 PM UTC 2026

% Result   : Unsatisfiable 10.29s 1.81s
% Output   : CNFRefutation 11.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  100 (  31 unt;  11 def)
%            Number of atoms       :  176 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  140 (  64   ~;  65   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  12 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-4 aty)
%            Number of variables   :  104 ( 104   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,axiom,
    ! [T_a] :
      ( c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a)
      | ~ class_Ring__and__Field_Ozero__neq__one(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f408,axiom,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
      | ~ c_in(V_c,V_B,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f409,axiom,
    ! [V_c,V_A,T_a,V_B] :
      ( ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
      | c_in(V_c,V_A,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f418,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,V_A,T_a)
      | c_in(V_c,V_B,T_a)
      | c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f986,axiom,
    ! [V_x,V_A,T_a,V_B] :
      ( ~ c_in(V_x,V_B,T_a)
      | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
      | c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f993,axiom,
    ! [V_h,V_F,T_a,T_b] :
      ( ~ c_Finite__Set_Ofinite(V_F,T_a)
      | c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1020,axiom,
    ! [V_x,V_S,T_a] :
      ( ~ hBOOL(hAPP(V_S,V_x))
      | c_in(V_x,V_S,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1021,axiom,
    ! [V_S,V_x,T_a] :
      ( ~ c_in(V_x,V_S,T_a)
      | hBOOL(hAPP(V_S,V_x)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1051,axiom,
    ! [V_x,V_A,T_aa,V_f,T_a] :
      ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)
      | ~ c_in(V_x,V_A,T_aa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1056,negated_conjecture,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1057,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1060,negated_conjecture,
    c_in(v_pn,v_U,tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1062,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1085,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1086,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1092,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1101,axiom,
    class_Divides_Osemiring__div(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1103,axiom,
    class_Ring__and__Field_Odvd(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1108,axiom,
    class_Orderings_Obot(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1206,plain,
    ! [X0] :
      ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f1792,plain,
    ! [V_c,V_B,T_a] :
      ( ! [V_A] : ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
      | ~ c_in(V_c,V_B,T_a) ),
    inference(miniscoping,[status(thm)],[f408]) ).

fof(f1793,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
      | ~ c_in(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f1792]) ).

fof(f1794,plain,
    ! [V_c,V_A,T_a] :
      ( ! [V_B] : ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
      | c_in(V_c,V_A,T_a) ),
    inference(miniscoping,[status(thm)],[f409]) ).

fof(f1795,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
      | c_in(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f1794]) ).

fof(f1812,plain,
    ! [V_c,V_A,T_a] :
      ( ~ c_in(V_c,V_A,T_a)
      | ! [V_B] :
          ( c_in(V_c,V_B,T_a)
          | c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ),
    inference(miniscoping,[status(thm)],[f418]) ).

fof(f1813,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X1,X3)
      | c_in(X0,X2,X3)
      | c_in(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(cnf_transformation,[status(thm)],[f1812]) ).

fof(f2694,plain,
    ! [V_x,T_a,V_B] :
      ( ~ c_in(V_x,V_B,T_a)
      | ! [V_A] :
          ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
          | c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ),
    inference(miniscoping,[status(thm)],[f986]) ).

fof(f2695,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,X3,X2)
      | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
      | c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
    inference(cnf_transformation,[status(thm)],[f2694]) ).

fof(f2703,plain,
    ! [V_F,T_a] :
      ( ~ c_Finite__Set_Ofinite(V_F,T_a)
      | ! [V_h,T_b] : c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) ),
    inference(miniscoping,[status(thm)],[f993]) ).

fof(f2704,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Finite__Set_Ofinite(X1,X2)
      | c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3) ),
    inference(cnf_transformation,[status(thm)],[f2703]) ).

fof(f2740,plain,
    ! [V_x,V_S] :
      ( ~ hBOOL(hAPP(V_S,V_x))
      | ! [T_a] : c_in(V_x,V_S,T_a) ),
    inference(miniscoping,[status(thm)],[f1020]) ).

fof(f2741,plain,
    ! [X0,X1,X2] :
      ( ~ hBOOL(hAPP(X1,X0))
      | c_in(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f2740]) ).

fof(f2742,plain,
    ! [V_S,V_x] :
      ( ! [T_a] : ~ c_in(V_x,V_S,T_a)
      | hBOOL(hAPP(V_S,V_x)) ),
    inference(miniscoping,[status(thm)],[f1021]) ).

fof(f2743,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(X1,X0,X2)
      | hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[status(thm)],[f2742]) ).

fof(f2792,plain,
    ! [V_x,V_A,T_aa] :
      ( ! [V_f,T_a] : c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)
      | ~ c_in(V_x,V_A,T_aa) ),
    inference(miniscoping,[status(thm)],[f1051]) ).

fof(f2793,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
      | ~ c_in(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f2792]) ).

fof(f2802,plain,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    inference(cnf_transformation,[status(thm)],[f1056]) ).

fof(f2803,plain,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    inference(cnf_transformation,[status(thm)],[f1057]) ).

fof(f2806,plain,
    c_in(v_pn,v_U,tc_Com_Opname),
    inference(cnf_transformation,[status(thm)],[f1060]) ).

fof(f2808,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    inference(cnf_transformation,[status(thm)],[f1062]) ).

fof(f2841,plain,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    inference(cnf_transformation,[status(thm)],[f1085]) ).

fof(f2842,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    inference(cnf_transformation,[status(thm)],[f1086]) ).

fof(f2848,plain,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    inference(cnf_transformation,[status(thm)],[f1092]) ).

fof(f2857,plain,
    class_Divides_Osemiring__div(tc_nat),
    inference(cnf_transformation,[status(thm)],[f1101]) ).

fof(f2859,plain,
    class_Ring__and__Field_Odvd(tc_nat),
    inference(cnf_transformation,[status(thm)],[f1103]) ).

fof(f2864,plain,
    class_Orderings_Obot(tc_nat),
    inference(cnf_transformation,[status(thm)],[f1108]) ).

fof(f3351,plain,
    ! [X0] :
      ( c_in(v_pn,X0,tc_Com_Opname)
      | c_in(v_pn,c_HOL_Ominus__class_Ominus(v_U,X0,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname) ),
    inference(resolution,[status(thm)],[f1813,f2806]) ).

fof(f3399,plain,
    ! [X0] :
      ( c_in(v_pn,v_U,tc_Com_Opname)
      | c_in(v_pn,X0,tc_Com_Opname) ),
    inference(resolution,[status(thm)],[f3351,f1795]) ).

fof(f3402,definition,
    ! [X0] :
      ( sQ9_spl
    <=> c_in(v_pn,X0,tc_Com_Opname) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f3403,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | c_in(v_pn,X0,tc_Com_Opname) ),
    inference(component_clause,[status(thm)],[f3402]) ).

fof(f3405,definition,
    ( sQ10_spl
  <=> c_in(v_pn,v_U,tc_Com_Opname) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f3406,plain,
    ( ~ sQ10_spl
    | c_in(v_pn,v_U,tc_Com_Opname) ),
    inference(component_clause,[status(thm)],[f3405]) ).

fof(f3408,plain,
    ( sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f3399,f3402,f3405]) ).

fof(f3410,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ c_in(v_pn,X0,tc_Com_Opname) ),
    inference(resolution,[status(thm)],[f3403,f1793]) ).

fof(f3412,plain,
    ( ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3410,f3403]) ).

fof(f3413,plain,
    ~ sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f3412]) ).

fof(f3540,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Oone__class_Oone(tc_nat),
    inference(resolution,[status(thm)],[f1206,f2848]) ).

fof(f4084,definition,
    ( sQ46_spl
  <=> c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f4086,plain,
    ( sQ46_spl
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
    inference(component_clause,[status(thm)],[f4084]) ).

fof(f4131,definition,
    ( sQ52_spl
  <=> c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f4133,plain,
    ( sQ52_spl
    | ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
    inference(component_clause,[status(thm)],[f4131]) ).

fof(f4135,plain,
    ( sQ52_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4133,f2803]) ).

fof(f4136,plain,
    sQ52_spl,
    inference(contradiction_clause,[status(thm)],[f4135]) ).

fof(f4149,definition,
    ( sQ53_spl
  <=> class_Ring__and__Field_Odvd(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f4151,plain,
    ( sQ53_spl
    | ~ class_Ring__and__Field_Odvd(tc_nat) ),
    inference(component_clause,[status(thm)],[f4149]) ).

fof(f4156,definition,
    ( sQ55_spl
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f4158,plain,
    ( sQ55_spl
    | ~ class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    inference(component_clause,[status(thm)],[f4156]) ).

fof(f4164,plain,
    ( sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4158,f2842]) ).

fof(f4165,plain,
    sQ55_spl,
    inference(contradiction_clause,[status(thm)],[f4164]) ).

fof(f4329,plain,
    ( sQ46_spl
    | ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ),
    inference(resolution,[status(thm)],[f4086,f2704]) ).

fof(f4331,plain,
    ( sQ46_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4329,f2802]) ).

fof(f4332,plain,
    sQ46_spl,
    inference(contradiction_clause,[status(thm)],[f4331]) ).

fof(f4384,plain,
    ( ~ sQ10_spl
    | hBOOL(hAPP(v_U,v_pn)) ),
    inference(resolution,[status(thm)],[f2743,f3406]) ).

fof(f4398,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | c_in(v_pn,v_U,X0) ),
    inference(resolution,[status(thm)],[f4384,f2741]) ).

fof(f4528,definition,
    ( sQ71_spl
  <=> class_Divides_Osemiring__div(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f4530,plain,
    ( sQ71_spl
    | ~ class_Divides_Osemiring__div(tc_nat) ),
    inference(component_clause,[status(thm)],[f4528]) ).

fof(f4535,plain,
    ( sQ71_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4530,f2857]) ).

fof(f4536,plain,
    sQ71_spl,
    inference(contradiction_clause,[status(thm)],[f4535]) ).

fof(f5331,plain,
    ( ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)
    | ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
    inference(resolution,[status(thm)],[f2695,f2808]) ).

fof(f5335,definition,
    ( sQ98_spl
  <=> c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f5337,plain,
    ( sQ98_spl
    | ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
    inference(component_clause,[status(thm)],[f5335]) ).

fof(f5338,plain,
    ( ~ sQ98_spl
    | ~ sQ52_spl ),
    inference(split_clause,[status(thm)],[f5331,f4131,f5335]) ).

fof(f5491,definition,
    ( sQ104_spl
  <=> c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f5492,plain,
    ( ~ sQ104_spl
    | c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(component_clause,[status(thm)],[f5491]) ).

fof(f5758,definition,
    ( sQ112_spl
  <=> class_Orderings_Obot(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f5760,plain,
    ( sQ112_spl
    | ~ class_Orderings_Obot(tc_nat) ),
    inference(component_clause,[status(thm)],[f5758]) ).

fof(f5765,definition,
    ( sQ114_spl
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f5767,plain,
    ( sQ114_spl
    | ~ class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    inference(component_clause,[status(thm)],[f5765]) ).

fof(f5776,plain,
    ( sQ114_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f5767,f2841]) ).

fof(f5777,plain,
    sQ114_spl,
    inference(contradiction_clause,[status(thm)],[f5776]) ).

fof(f5778,plain,
    ( ~ sQ104_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f5492,f3540]) ).

fof(f5779,plain,
    ~ sQ104_spl,
    inference(contradiction_clause,[status(thm)],[f5778]) ).

fof(f5855,plain,
    ( sQ53_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4151,f2859]) ).

fof(f5856,plain,
    sQ53_spl,
    inference(contradiction_clause,[status(thm)],[f5855]) ).

fof(f6002,plain,
    ( sQ112_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f5760,f2864]) ).

fof(f6003,plain,
    sQ112_spl,
    inference(contradiction_clause,[status(thm)],[f6002]) ).

fof(f6032,plain,
    ! [X0,X1,X2] :
      ( ~ sQ10_spl
      | c_in(hAPP(X0,v_pn),c_Set_Oimage(X0,v_U,X1,X2),X2) ),
    inference(resolution,[status(thm)],[f2793,f4398]) ).

fof(f6038,plain,
    ( sQ98_spl
    | ~ sQ10_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f5337,f6032]) ).

fof(f6039,plain,
    ( sQ98_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f6038]) ).

fof(f6040,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3408,f3413,f4136,f4165,f4332,f4536,f5338,f5777,f5779,f5856,f6003,f6039]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n010.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 09:30:25 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.07/0.38  % Drodi V4.1.1
% 10.29/1.81  % Refutation found
% 10.29/1.81  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.29/1.81  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.06/1.87  % Elapsed time: 1.512319 seconds
% 11.06/1.87  % CPU time: 11.487320 seconds
% 11.06/1.87  % Total memory used: 292.379 MB
% 11.06/1.87  % Net memory used: 283.206 MB
%------------------------------------------------------------------------------