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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SET042-3 : TPTP v9.3.1. Released v1.0.0.
% 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 02:09:01 PM UTC 2026

% Result   : Unsatisfiable 34.01s 4.75s
% Output   : CNFRefutation 34.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  129 (  34 unt;  16 def)
%            Number of atoms       :  268 (  24 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  265 ( 126   ~; 123   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  17 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-2 aty)
%            Number of variables   :   84 (  84   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( little_set(X)
      | ~ member(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [U,X,Y] :
      ( U != X
      | ~ little_set(U)
      | member(U,non_ordered_pair(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y,Z] :
      ( X != ordered_pair(Y,Z)
      | ~ little_set(Z)
      | ~ little_set(Y)
      | ordered_pair_predicate(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [Z,X,Y] :
      ( ~ member(second(Z),Y)
      | ~ member(first(Z),X)
      | ~ ordered_pair_predicate(Z)
      | ~ little_set(Z)
      | member(Z,cross_product(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,axiom,
    ! [Z] : ~ member(Z,empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    little_set(infinity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,axiom,
    member(empty_set,infinity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f77,axiom,
    ! [Z] :
      ( member(f18(Z),Z)
      | relation(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f84,axiom,
    ! [X] :
      ( member(ordered_pair(f19(X),f21(X)),X)
      | single_valued_set(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,axiom,
    ! [X] :
      ( member(f24(X),X)
      | X = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [Z,X] :
      ( member(f27(Z,X),X)
      | ~ member(Z,range_of(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f146,axiom,
    ! [X,Y] :
      ( first(ordered_pair(X,Y)) = X
      | ~ little_set(Y)
      | ~ little_set(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f147,axiom,
    ! [X,Y] :
      ( second(ordered_pair(X,Y)) = Y
      | ~ little_set(Y)
      | ~ little_set(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f151,axiom,
    ! [X,Y] : little_set(ordered_pair(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f152,axiom,
    ! [X] :
      ( little_set(X)
      | ~ ordered_pair_predicate(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f168,hypothesis,
    member(a,set_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f169,hypothesis,
    member(b,set_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f170,negated_conjecture,
    ~ member(ordered_pair(a,b),cross_product(set_a,set_b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f171,plain,
    ! [X] :
      ( little_set(X)
      | ! [Y] : ~ member(X,Y) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( little_set(X0)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f171]) ).

fof(f178,plain,
    ! [U,X] :
      ( U != X
      | ~ little_set(U)
      | ! [Y] : member(U,non_ordered_pair(X,Y)) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f179,plain,
    ! [X0,X1,X2] :
      ( X0 != X1
      | ~ little_set(X0)
      | member(X0,non_ordered_pair(X1,X2)) ),
    inference(cnf_transformation,[status(thm)],[f178]) ).

fof(f188,plain,
    ! [X0,X1,X2] :
      ( X0 != ordered_pair(X1,X2)
      | ~ little_set(X2)
      | ~ little_set(X1)
      | ordered_pair_predicate(X0) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f224,plain,
    ! [Z,Y] :
      ( ~ member(second(Z),Y)
      | ! [X] :
          ( ~ member(first(Z),X)
          | ~ ordered_pair_predicate(Z)
          | ~ little_set(Z)
          | member(Z,cross_product(X,Y)) ) ),
    inference(miniscoping,[status(thm)],[f41]) ).

fof(f225,plain,
    ! [X0,X1,X2] :
      ( ~ member(second(X0),X2)
      | ~ member(first(X0),X1)
      | ~ ordered_pair_predicate(X0)
      | ~ little_set(X0)
      | member(X0,cross_product(X1,X2)) ),
    inference(cnf_transformation,[status(thm)],[f224]) ).

fof(f245,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(cnf_transformation,[status(thm)],[f58]) ).

fof(f247,plain,
    little_set(infinity),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f248,plain,
    member(empty_set,infinity),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f267,plain,
    ! [X0] :
      ( member(f18(X0),X0)
      | relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f275,plain,
    ! [X0] :
      ( member(ordered_pair(f19(X0),f21(X0)),X0)
      | single_valued_set(X0) ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

fof(f291,plain,
    ! [X0] :
      ( member(f24(X0),X0)
      | X0 = empty_set ),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( member(f27(X0,X1),X1)
      | ~ member(X0,range_of(X1)) ),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( first(ordered_pair(X0,X1)) = X0
      | ~ little_set(X1)
      | ~ little_set(X0) ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( second(ordered_pair(X0,X1)) = X1
      | ~ little_set(X1)
      | ~ little_set(X0) ),
    inference(cnf_transformation,[status(thm)],[f147]) ).

fof(f360,plain,
    ! [X0,X1] : little_set(ordered_pair(X0,X1)),
    inference(cnf_transformation,[status(thm)],[f151]) ).

fof(f361,plain,
    ! [X0] :
      ( little_set(X0)
      | ~ ordered_pair_predicate(X0) ),
    inference(cnf_transformation,[status(thm)],[f152]) ).

fof(f384,plain,
    member(a,set_a),
    inference(cnf_transformation,[status(thm)],[f168]) ).

fof(f385,plain,
    member(b,set_b),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f386,plain,
    ~ member(ordered_pair(a,b),cross_product(set_a,set_b)),
    inference(cnf_transformation,[status(thm)],[f170]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ little_set(X0)
      | member(X0,non_ordered_pair(X0,X1)) ),
    inference(destructive_equality_resolution,[status(thm)],[f179]) ).

fof(f389,plain,
    ! [X0,X1] :
      ( ~ little_set(X1)
      | ~ little_set(X0)
      | ordered_pair_predicate(ordered_pair(X0,X1)) ),
    inference(destructive_equality_resolution,[status(thm)],[f188]) ).

fof(f452,plain,
    ! [X0,X1,X2] : member(ordered_pair(X0,X1),non_ordered_pair(ordered_pair(X0,X1),X2)),
    inference(resolution,[status(thm)],[f360,f387]) ).

fof(f495,plain,
    ! [X0,X1,X2] :
      ( ~ member(second(X0),X2)
      | ~ member(first(X0),X1)
      | ~ ordered_pair_predicate(X0)
      | member(X0,cross_product(X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f225,f361]) ).

fof(f540,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(second(ordered_pair(X0,X1)),X3)
      | ~ member(first(ordered_pair(X0,X1)),X2)
      | member(ordered_pair(X0,X1),cross_product(X2,X3))
      | ~ little_set(X1)
      | ~ little_set(X0) ),
    inference(resolution,[status(thm)],[f389,f495]) ).

fof(f709,definition,
    ( sQ3_spl
  <=> little_set(empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f711,plain,
    ( sQ3_spl
    | ~ little_set(empty_set) ),
    inference(component_clause,[status(thm)],[f709]) ).

fof(f1191,plain,
    ( ~ member(second(ordered_pair(a,b)),set_b)
    | ~ member(first(ordered_pair(a,b)),set_a)
    | ~ little_set(b)
    | ~ little_set(a) ),
    inference(resolution,[status(thm)],[f540,f386]) ).

fof(f1194,definition,
    ( sQ16_spl
  <=> little_set(a) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f1195,plain,
    ( ~ sQ16_spl
    | little_set(a) ),
    inference(component_clause,[status(thm)],[f1194]) ).

fof(f1196,plain,
    ( sQ16_spl
    | ~ little_set(a) ),
    inference(component_clause,[status(thm)],[f1194]) ).

fof(f1197,definition,
    ( sQ17_spl
  <=> little_set(b) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f1198,plain,
    ( ~ sQ17_spl
    | little_set(b) ),
    inference(component_clause,[status(thm)],[f1197]) ).

fof(f1199,plain,
    ( sQ17_spl
    | ~ little_set(b) ),
    inference(component_clause,[status(thm)],[f1197]) ).

fof(f1200,definition,
    ( sQ18_spl
  <=> member(first(ordered_pair(a,b)),set_a) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f1202,plain,
    ( sQ18_spl
    | ~ member(first(ordered_pair(a,b)),set_a) ),
    inference(component_clause,[status(thm)],[f1200]) ).

fof(f1203,definition,
    ( sQ19_spl
  <=> member(second(ordered_pair(a,b)),set_b) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f1205,plain,
    ( sQ19_spl
    | ~ member(second(ordered_pair(a,b)),set_b) ),
    inference(component_clause,[status(thm)],[f1203]) ).

fof(f1206,plain,
    ( ~ sQ19_spl
    | ~ sQ18_spl
    | ~ sQ17_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f1191,f1194,f1197,f1200,f1203]) ).

fof(f1209,plain,
    ! [X0] :
      ( sQ17_spl
      | ~ member(b,X0) ),
    inference(resolution,[status(thm)],[f1199,f172]) ).

fof(f1212,plain,
    ! [X0] :
      ( sQ16_spl
      | ~ member(a,X0) ),
    inference(resolution,[status(thm)],[f1196,f172]) ).

fof(f1237,plain,
    ( sQ17_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f385,f1209]) ).

fof(f1238,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f1237]) ).

fof(f1243,plain,
    ( sQ16_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f384,f1212]) ).

fof(f1244,plain,
    sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f1243]) ).

fof(f1436,plain,
    ! [X0] :
      ( sQ3_spl
      | ~ member(empty_set,X0) ),
    inference(resolution,[status(thm)],[f711,f172]) ).

fof(f1437,plain,
    ( sQ3_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f248,f1436]) ).

fof(f1439,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f1437]) ).

fof(f1546,plain,
    relation(empty_set),
    inference(resolution,[status(thm)],[f267,f245]) ).

fof(f2063,plain,
    single_valued_set(empty_set),
    inference(resolution,[status(thm)],[f245,f275]) ).

fof(f2094,definition,
    ( sQ40_spl
  <=> relation(empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f2096,plain,
    ( sQ40_spl
    | ~ relation(empty_set) ),
    inference(component_clause,[status(thm)],[f2094]) ).

fof(f2098,definition,
    ( sQ41_spl
  <=> single_valued_set(empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f2100,plain,
    ( sQ41_spl
    | ~ single_valued_set(empty_set) ),
    inference(component_clause,[status(thm)],[f2098]) ).

fof(f2411,plain,
    ! [X0] : ~ member(X0,range_of(empty_set)),
    inference(resolution,[status(thm)],[f297,f245]) ).

fof(f2572,definition,
    ( sQ54_spl
  <=> range_of(empty_set) = empty_set ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f2574,plain,
    ( sQ54_spl
    | range_of(empty_set) != empty_set ),
    inference(component_clause,[status(thm)],[f2572]) ).

fof(f2630,plain,
    ( sQ40_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2096,f1546]) ).

fof(f2631,plain,
    sQ40_spl,
    inference(contradiction_clause,[status(thm)],[f2630]) ).

fof(f2759,definition,
    ! [X0] :
      ( sQ58_spl
    <=> ~ member(ordered_pair(estin,empty_set),X0) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f2760,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | ~ member(ordered_pair(estin,empty_set),X0) ),
    inference(component_clause,[status(thm)],[f2759]) ).

fof(f2769,plain,
    ( ~ sQ58_spl
    | $false ),
    inference(resolution,[status(thm)],[f2760,f452]) ).

fof(f2775,plain,
    ~ sQ58_spl,
    inference(contradiction_clause,[status(thm)],[f2769]) ).

fof(f3819,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | first(ordered_pair(X0,b)) = X0
      | ~ little_set(X0) ),
    inference(resolution,[status(thm)],[f355,f1198]) ).

fof(f3851,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | second(ordered_pair(X0,b)) = b
      | ~ little_set(X0) ),
    inference(resolution,[status(thm)],[f356,f1198]) ).

fof(f4337,plain,
    ( ~ sQ16_spl
    | ~ sQ17_spl
    | first(ordered_pair(a,b)) = a ),
    inference(resolution,[status(thm)],[f3819,f1195]) ).

fof(f5454,plain,
    ( sQ41_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2063,f2100]) ).

fof(f5455,plain,
    sQ41_spl,
    inference(contradiction_clause,[status(thm)],[f5454]) ).

fof(f5748,definition,
    ( sQ107_spl
  <=> set_a = empty_set ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f5749,plain,
    ( ~ sQ107_spl
    | set_a = empty_set ),
    inference(component_clause,[status(thm)],[f5748]) ).

fof(f5973,plain,
    range_of(empty_set) = empty_set,
    inference(resolution,[status(thm)],[f2411,f291]) ).

fof(f6002,plain,
    ( sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f5973,f2574]) ).

fof(f6003,plain,
    sQ54_spl,
    inference(contradiction_clause,[status(thm)],[f6002]) ).

fof(f8541,plain,
    ( ~ sQ107_spl
    | member(a,empty_set) ),
    inference(backward_demodulation,[status(thm)],[f5749,f384]) ).

fof(f8549,plain,
    ( ~ sQ107_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8541,f245]) ).

fof(f8550,plain,
    ~ sQ107_spl,
    inference(contradiction_clause,[status(thm)],[f8549]) ).

fof(f9277,definition,
    ( sQ161_spl
  <=> little_set(infinity) ),
    introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).

fof(f9279,plain,
    ( sQ161_spl
    | ~ little_set(infinity) ),
    inference(component_clause,[status(thm)],[f9277]) ).

fof(f9416,plain,
    ( sQ161_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f9279,f247]) ).

fof(f9417,plain,
    sQ161_spl,
    inference(contradiction_clause,[status(thm)],[f9416]) ).

fof(f10143,definition,
    ( sQ180_spl
  <=> set_b = empty_set ),
    introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).

fof(f10144,plain,
    ( ~ sQ180_spl
    | set_b = empty_set ),
    inference(component_clause,[status(thm)],[f10143]) ).

fof(f10179,plain,
    ( ~ sQ180_spl
    | member(b,empty_set) ),
    inference(backward_demodulation,[status(thm)],[f10144,f385]) ).

fof(f10182,plain,
    ( ~ sQ180_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f10179,f245]) ).

fof(f10183,plain,
    ~ sQ180_spl,
    inference(contradiction_clause,[status(thm)],[f10182]) ).

fof(f10348,definition,
    ( sQ189_spl
  <=> infinity = empty_set ),
    introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).

fof(f10349,plain,
    ( ~ sQ189_spl
    | infinity = empty_set ),
    inference(component_clause,[status(thm)],[f10348]) ).

fof(f10646,plain,
    ( ~ sQ189_spl
    | member(empty_set,empty_set) ),
    inference(backward_demodulation,[status(thm)],[f10349,f248]) ).

fof(f12667,plain,
    ( ~ sQ189_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f10646,f245]) ).

fof(f12668,plain,
    ~ sQ189_spl,
    inference(contradiction_clause,[status(thm)],[f12667]) ).

fof(f17126,definition,
    ! [X0] :
      ( sQ274_spl
    <=> ~ member(empty_set,X0) ),
    introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).

fof(f17127,plain,
    ! [X0] :
      ( ~ sQ274_spl
      | ~ member(empty_set,X0) ),
    inference(component_clause,[status(thm)],[f17126]) ).

fof(f17130,plain,
    ( ~ sQ274_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f248,f17127]) ).

fof(f17148,plain,
    ~ sQ274_spl,
    inference(contradiction_clause,[status(thm)],[f17130]) ).

fof(f17355,plain,
    ( sQ18_spl
    | ~ sQ16_spl
    | ~ sQ17_spl
    | ~ member(a,set_a) ),
    inference(backward_demodulation,[status(thm)],[f4337,f1202]) ).

fof(f17377,plain,
    ( sQ18_spl
    | ~ sQ16_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f17355,f384]) ).

fof(f17378,plain,
    ( sQ18_spl
    | ~ sQ16_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f17377]) ).

fof(f17786,definition,
    ! [X1] :
      ( sQ304_spl
    <=> member(set_b,X1) ),
    introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).

fof(f17787,plain,
    ! [X0] :
      ( ~ sQ304_spl
      | member(set_b,X0) ),
    inference(component_clause,[status(thm)],[f17786]) ).

fof(f17794,definition,
    ! [X1] :
      ( sQ306_spl
    <=> member(set_a,X1) ),
    introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).

fof(f17795,plain,
    ! [X0] :
      ( ~ sQ306_spl
      | member(set_a,X0) ),
    inference(component_clause,[status(thm)],[f17794]) ).

fof(f18315,plain,
    ( ~ sQ306_spl
    | $false ),
    inference(resolution,[status(thm)],[f17795,f245]) ).

fof(f18328,plain,
    ~ sQ306_spl,
    inference(contradiction_clause,[status(thm)],[f18315]) ).

fof(f18492,plain,
    ( ~ sQ304_spl
    | $false ),
    inference(resolution,[status(thm)],[f17787,f245]) ).

fof(f18505,plain,
    ~ sQ304_spl,
    inference(contradiction_clause,[status(thm)],[f18492]) ).

fof(f20594,plain,
    ( ~ sQ16_spl
    | ~ sQ17_spl
    | second(ordered_pair(a,b)) = b ),
    inference(resolution,[status(thm)],[f3851,f1195]) ).

fof(f21704,plain,
    ( sQ19_spl
    | ~ sQ16_spl
    | ~ sQ17_spl
    | ~ member(b,set_b) ),
    inference(backward_demodulation,[status(thm)],[f20594,f1205]) ).

fof(f21734,plain,
    ( sQ19_spl
    | ~ sQ16_spl
    | ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21704,f385]) ).

fof(f21735,plain,
    ( sQ19_spl
    | ~ sQ16_spl
    | ~ sQ17_spl ),
    inference(contradiction_clause,[status(thm)],[f21734]) ).

fof(f21736,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1206,f1238,f1244,f1439,f2631,f2775,f5455,f6003,f8550,f9417,f10183,f12668,f17148,f17378,f18328,f18505,f21735]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET042-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 04:46:42 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.16/0.39  % Drodi V4.1.1
% 34.01/4.75  % Refutation found
% 34.01/4.75  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 34.01/4.75  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.99/4.82  % Elapsed time: 4.429813 seconds
% 0.99/4.82  % CPU time: 34.631781 seconds
% 0.99/4.82  % Total memory used: 336.148 MB
% 0.99/4.82  % Net memory used: 311.820 MB
%------------------------------------------------------------------------------