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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 01:59:55 PM UTC 2026

% Result   : Theorem 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  132 (  30 unt;  11 def)
%            Number of atoms       :  346 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  401 ( 187   ~; 170   |;  18   &)
%                                         (  11 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  12 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  124 ( 110   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ? [A] : wolf(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] :
      ( wolf(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ? [A] : fox(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A] :
      ( fox(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ? [A] : bird(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A] :
      ( bird(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ? [A] : snail(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [A] :
      ( snail(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ? [A] : grain(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [A] :
      ( grain(A)
     => plant(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X] :
      ( animal(X)
     => ( ! [Y1] :
            ( animal(Y1)
           => ( ( ? [Z] :
                    ( eats(Y1,Z)
                    & plant(Z) )
                & much_smaller(Y1,X) )
             => eats(X,Y1) ) )
        | ! [Y] :
            ( plant(Y)
           => eats(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [Y,X] :
      ( ( snail(X)
        & bird(Y) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [X,Y] :
      ( ( fox(Y)
        & bird(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [X,Y] :
      ( ( wolf(Y)
        & fox(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [X,Y] :
      ( ( grain(Y)
        & wolf(X) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X,Y] :
      ( ( snail(Y)
        & bird(X) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X] :
      ( snail(X)
     => ? [Y] :
          ( eats(X,Y)
          & plant(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,conjecture,
    ? [X,Y,Z] :
      ( eats(X,Y)
      & eats(Y,Z)
      & grain(Z)
      & animal(Y)
      & animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ~ ? [X,Y,Z] :
        ( eats(X,Y)
        & eats(Y,Z)
        & grain(Z)
        & animal(Y)
        & animal(X) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f37,plain,
    wolf(sK2_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f4]) ).

fof(f38,plain,
    wolf(sK2_skl),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f39,plain,
    ! [A] :
      ( animal(A)
      | ~ wolf(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f40,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f41,plain,
    fox(sK3_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f6]) ).

fof(f42,plain,
    fox(sK3_skl),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f43,plain,
    ! [A] :
      ( animal(A)
      | ~ fox(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f44,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f45,plain,
    bird(sK4_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(A,sK4_skl)],[f8]) ).

fof(f46,plain,
    bird(sK4_skl),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f47,plain,
    ! [A] :
      ( animal(A)
      | ~ bird(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f48,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f53,plain,
    snail(sK6_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(A,sK6_skl)],[f12]) ).

fof(f54,plain,
    snail(sK6_skl),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f55,plain,
    ! [A] :
      ( animal(A)
      | ~ snail(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f13]) ).

fof(f56,plain,
    ! [X0] :
      ( animal(X0)
      | ~ snail(X0) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f61,plain,
    grain(sK8_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f16]) ).

fof(f62,plain,
    grain(sK8_skl),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [A] :
      ( plant(A)
      | ~ grain(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f17]) ).

fof(f64,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f65,plain,
    ! [X] :
      ( ! [Y1] :
          ( eats(X,Y1)
          | ! [Z] :
              ( ~ eats(Y1,Z)
              | ~ plant(Z) )
          | ~ much_smaller(Y1,X)
          | ~ animal(Y1) )
      | ! [Y] :
          ( eats(X,Y)
          | ~ plant(Y) )
      | ~ animal(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f18]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( eats(X0,X2)
      | ~ eats(X2,X3)
      | ~ plant(X3)
      | ~ much_smaller(X2,X0)
      | ~ animal(X2)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0) ),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f67,plain,
    ! [Y,X] :
      ( much_smaller(X,Y)
      | ~ snail(X)
      | ~ bird(Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f19]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f71,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ fox(Y)
      | ~ bird(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f21]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f73,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ wolf(Y)
      | ~ fox(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f22]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f77,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ grain(Y)
      | ~ wolf(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f24]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f81,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ snail(Y)
      | ~ bird(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f87,plain,
    ! [X] :
      ( ? [Y] :
          ( eats(X,Y)
          & plant(Y) )
      | ~ snail(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f28]) ).

fof(f88,plain,
    ! [X] :
      ( ( eats(X,sK10_skl(X))
        & plant(sK10_skl(X)) )
      | ~ snail(X) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Y,sK10_skl(X))],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( plant(sK10_skl(X0))
      | ~ snail(X0) ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( eats(X0,sK10_skl(X0))
      | ~ snail(X0) ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f91,plain,
    ! [X,Y,Z] :
      ( ~ eats(X,Y)
      | ~ eats(Y,Z)
      | ~ grain(Z)
      | ~ animal(Y)
      | ~ animal(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f30]) ).

fof(f92,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ! [Z] :
          ( ~ eats(Y,Z)
          | ~ grain(Z)
          | ~ animal(Y)
          | ~ animal(X) ) ),
    inference(miniscoping,[status(thm)],[f91]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ eats(X0,sK8_skl)
      | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[f62,f78]) ).

fof(f105,plain,
    plant(sK8_skl),
    inference(resolution,[status(thm)],[f62,f64]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,sK8_skl)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f62,f93]) ).

fof(f116,plain,
    animal(sK3_skl),
    inference(resolution,[status(thm)],[f44,f42]) ).

fof(f126,plain,
    animal(sK4_skl),
    inference(resolution,[status(thm)],[f48,f46]) ).

fof(f128,plain,
    animal(sK6_skl),
    inference(resolution,[status(thm)],[f56,f54]) ).

fof(f131,definition,
    ! [X0] :
      ( sQ6_spl
    <=> ( ~ eats(X0,sK4_skl)
        | ~ animal(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ eats(X0,sK4_skl)
      | ~ animal(X0) ),
    inference(component_clause,[status(thm)],[f131]) ).

fof(f160,plain,
    ! [X0] :
      ( much_smaller(sK6_skl,X0)
      | ~ bird(X0) ),
    inference(resolution,[status(thm)],[f68,f54]) ).

fof(f162,plain,
    much_smaller(sK6_skl,sK4_skl),
    inference(resolution,[status(thm)],[f160,f46]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( eats(sK4_skl,sK6_skl)
      | ~ eats(sK6_skl,X1)
      | ~ plant(X1)
      | ~ animal(sK6_skl)
      | eats(sK4_skl,X0)
      | ~ plant(X0)
      | ~ animal(sK4_skl) ),
    inference(resolution,[status(thm)],[f162,f66]) ).

fof(f164,definition,
    ( sQ12_spl
  <=> animal(sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f166,plain,
    ( sQ12_spl
    | ~ animal(sK4_skl) ),
    inference(component_clause,[status(thm)],[f164]) ).

fof(f167,definition,
    ! [X0] :
      ( sQ13_spl
    <=> ( eats(sK4_skl,X0)
        | ~ plant(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | eats(sK4_skl,X0)
      | ~ plant(X0) ),
    inference(component_clause,[status(thm)],[f167]) ).

fof(f170,definition,
    ( sQ14_spl
  <=> animal(sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f172,plain,
    ( sQ14_spl
    | ~ animal(sK6_skl) ),
    inference(component_clause,[status(thm)],[f170]) ).

fof(f173,definition,
    ! [X1] :
      ( sQ15_spl
    <=> ( ~ eats(sK6_skl,X1)
        | ~ plant(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ eats(sK6_skl,X0)
      | ~ plant(X0) ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f176,definition,
    ( sQ16_spl
  <=> eats(sK4_skl,sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f177,plain,
    ( ~ sQ16_spl
    | eats(sK4_skl,sK6_skl) ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f179,plain,
    ( sQ16_spl
    | sQ15_spl
    | ~ sQ14_spl
    | sQ13_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f163,f164,f167,f170,f173,f176]) ).

fof(f197,plain,
    ( ~ sQ13_spl
    | eats(sK4_skl,sK8_skl) ),
    inference(resolution,[status(thm)],[f168,f105]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | ~ eats(X0,sK4_skl)
      | ~ animal(sK4_skl)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f197,f106]) ).

fof(f201,plain,
    ( ~ sQ13_spl
    | ~ sQ12_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f200,f131,f164,f167]) ).

fof(f202,plain,
    ( sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f166,f126]) ).

fof(f203,plain,
    sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f202]) ).

fof(f217,plain,
    eats(sK6_skl,sK10_skl(sK6_skl)),
    inference(resolution,[status(thm)],[f90,f54]) ).

fof(f218,plain,
    ! [X0] :
      ( much_smaller(sK4_skl,X0)
      | ~ fox(X0) ),
    inference(resolution,[status(thm)],[f72,f46]) ).

fof(f219,plain,
    ! [X0] :
      ( much_smaller(sK3_skl,X0)
      | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[f74,f42]) ).

fof(f222,plain,
    much_smaller(sK4_skl,sK3_skl),
    inference(resolution,[status(thm)],[f218,f42]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( eats(sK3_skl,sK4_skl)
      | ~ eats(sK4_skl,X1)
      | ~ plant(X1)
      | ~ animal(sK4_skl)
      | eats(sK3_skl,X0)
      | ~ plant(X0)
      | ~ animal(sK3_skl) ),
    inference(resolution,[status(thm)],[f222,f66]) ).

fof(f225,definition,
    ( sQ20_spl
  <=> animal(sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f227,plain,
    ( sQ20_spl
    | ~ animal(sK3_skl) ),
    inference(component_clause,[status(thm)],[f225]) ).

fof(f228,definition,
    ! [X0] :
      ( sQ21_spl
    <=> ( eats(sK3_skl,X0)
        | ~ plant(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f229,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | eats(sK3_skl,X0)
      | ~ plant(X0) ),
    inference(component_clause,[status(thm)],[f228]) ).

fof(f231,definition,
    ! [X1] :
      ( sQ22_spl
    <=> ( ~ eats(sK4_skl,X1)
        | ~ plant(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | ~ eats(sK4_skl,X0)
      | ~ plant(X0) ),
    inference(component_clause,[status(thm)],[f231]) ).

fof(f234,definition,
    ( sQ23_spl
  <=> eats(sK3_skl,sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f235,plain,
    ( ~ sQ23_spl
    | eats(sK3_skl,sK4_skl) ),
    inference(component_clause,[status(thm)],[f234]) ).

fof(f237,plain,
    ( sQ23_spl
    | sQ22_spl
    | ~ sQ12_spl
    | sQ21_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f224,f225,f228,f164,f231,f234]) ).

fof(f238,plain,
    ( ~ sQ6_spl
    | ~ sQ23_spl
    | ~ animal(sK3_skl) ),
    inference(resolution,[status(thm)],[f235,f132]) ).

fof(f239,plain,
    ( ~ sQ6_spl
    | ~ sQ23_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f238,f116]) ).

fof(f240,plain,
    ( ~ sQ6_spl
    | ~ sQ23_spl ),
    inference(contradiction_clause,[status(thm)],[f239]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | ~ sQ13_spl
      | ~ plant(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f232,f168]) ).

fof(f245,plain,
    ( ~ sQ22_spl
    | ~ sQ13_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f105,f241]) ).

fof(f247,plain,
    ( ~ sQ22_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f245]) ).

fof(f248,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f172,f128]) ).

fof(f249,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f248]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ eats(X0,sK6_skl)
      | ~ bird(X0) ),
    inference(resolution,[status(thm)],[f82,f54]) ).

fof(f253,plain,
    ! [X0,X1,X2] :
      ( eats(X0,X2)
      | ~ eats(X2,sK8_skl)
      | ~ much_smaller(X2,X0)
      | ~ animal(X2)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f66,f105]) ).

fof(f254,plain,
    ! [X0,X1,X2] :
      ( ~ eats(X2,sK8_skl)
      | ~ much_smaller(X2,X0)
      | ~ animal(X2)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f253,f106]) ).

fof(f261,plain,
    plant(sK10_skl(sK6_skl)),
    inference(resolution,[status(thm)],[f89,f54]) ).

fof(f272,plain,
    ( ~ sQ21_spl
    | eats(sK3_skl,sK8_skl) ),
    inference(resolution,[status(thm)],[f229,f105]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ~ sQ21_spl
      | ~ much_smaller(sK3_skl,X0)
      | ~ animal(sK3_skl)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f272,f254]) ).

fof(f276,definition,
    ! [X0,X1] :
      ( sQ24_spl
    <=> ( ~ much_smaller(sK3_skl,X0)
        | eats(X0,X1)
        | ~ plant(X1)
        | ~ animal(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f277,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ much_smaller(sK3_skl,X0)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0) ),
    inference(component_clause,[status(thm)],[f276]) ).

fof(f279,plain,
    ( ~ sQ21_spl
    | ~ sQ20_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f273,f276,f225,f228]) ).

fof(f281,plain,
    ( sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f227,f116]) ).

fof(f282,plain,
    sQ20_spl,
    inference(contradiction_clause,[status(thm)],[f281]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ wolf(X0)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f277,f219]) ).

fof(f289,plain,
    ! [X0,X1] :
      ( ~ sQ24_spl
      | ~ wolf(X1)
      | eats(X1,X0)
      | ~ plant(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f288,f40]) ).

fof(f290,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | eats(sK2_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f289,f38]) ).

fof(f296,plain,
    ( ~ sQ15_spl
    | ~ plant(sK10_skl(sK6_skl)) ),
    inference(resolution,[status(thm)],[f174,f217]) ).

fof(f297,plain,
    ( ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f296,f261]) ).

fof(f298,plain,
    ~ sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f297]) ).

fof(f320,plain,
    ( ~ sQ24_spl
    | eats(sK2_skl,sK8_skl) ),
    inference(resolution,[status(thm)],[f290,f105]) ).

fof(f349,plain,
    ( ~ sQ24_spl
    | ~ wolf(sK2_skl) ),
    inference(resolution,[status(thm)],[f320,f104]) ).

fof(f355,plain,
    ( ~ sQ24_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f349,f38]) ).

fof(f356,plain,
    ~ sQ24_spl,
    inference(contradiction_clause,[status(thm)],[f355]) ).

fof(f357,plain,
    ( ~ sQ16_spl
    | ~ bird(sK4_skl) ),
    inference(resolution,[status(thm)],[f177,f251]) ).

fof(f358,plain,
    ( ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f357,f46]) ).

fof(f359,plain,
    ~ sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f358]) ).

fof(f360,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f179,f201,f203,f237,f240,f247,f249,f279,f282,f298,f356,f359]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n014.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 03:46:04 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.13/0.40  % Refutation found
% 0.13/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43  % Elapsed time: 0.059238 seconds
% 0.13/0.43  % CPU time: 0.148469 seconds
% 0.13/0.43  % Total memory used: 17.737 MB
% 0.13/0.43  % Net memory used: 17.504 MB
%------------------------------------------------------------------------------