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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 0.10s 0.40s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  107 (  21 unt;   1 def)
%            Number of atoms       :  341 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  423 ( 189   ~; 191   |;  28   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  165 ( 150   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( wolf(X)
     => animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ? [X1] : wolf(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( fox(X)
     => animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ? [X1] : fox(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f6,axiom,
    ? [X1] : bird(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f10,axiom,
    ? [X1] : snail(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ? [X] : grain(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X1] :
      ( grain(X1)
     => plant(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X] :
      ( animal(X)
     => ( ! [Y1] :
            ( ( ? [Z] :
                  ( eats(Y1,Z)
                  & plant(Z) )
              & much_smaller(Y1,X)
              & animal(Y1) )
           => eats(X,Y1) )
        | ! [Y] :
            ( plant(Y)
           => eats(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y] :
      ( ( ( caterpillar(X)
          | snail(X) )
        & bird(Y) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X,Y] :
      ( ( fox(Y)
        & bird(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Y] :
      ( ( wolf(Y)
        & fox(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X,Y] :
      ( ( ( grain(Y)
          | fox(Y) )
        & wolf(X) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f20,axiom,
    ! [X] :
      ( ( snail(X)
        | caterpillar(X) )
     => ? [Y] :
          ( eats(X,Y)
          & plant(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,conjecture,
    ? [X,Y] :
      ( ? [Z] :
          ( eats(X,Y)
          & eats(Y,Z)
          & grain(Z) )
      & animal(Y)
      & animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ~ ? [X,Y] :
        ( ? [Z] :
            ( eats(X,Y)
            & eats(Y,Z)
            & grain(Z) )
        & animal(Y)
        & animal(X) ),
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f23,plain,
    ! [X] :
      ( animal(X)
      | ~ wolf(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f24,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f25,plain,
    wolf(sK0_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl)],[f2]) ).

fof(f26,plain,
    wolf(sK0_skl),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f27,plain,
    ! [X] :
      ( animal(X)
      | ~ fox(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f3]) ).

fof(f28,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f29,plain,
    fox(sK1_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X1,sK1_skl)],[f4]) ).

fof(f30,plain,
    fox(sK1_skl),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f31,plain,
    ! [X] :
      ( animal(X)
      | ~ bird(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f32,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f33,plain,
    bird(sK2_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X1,sK2_skl)],[f6]) ).

fof(f34,plain,
    bird(sK2_skl),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f39,plain,
    ! [X] :
      ( animal(X)
      | ~ snail(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

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

fof(f41,plain,
    snail(sK4_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X1,sK4_skl)],[f10]) ).

fof(f42,plain,
    snail(sK4_skl),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f43,plain,
    grain(sK5_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(X,sK5_skl)],[f11]) ).

fof(f44,plain,
    grain(sK5_skl),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f45,plain,
    ! [X1] :
      ( plant(X1)
      | ~ grain(X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f46,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f47,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)],[f13]) ).

fof(f48,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)],[f47]) ).

fof(f49,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ( ~ caterpillar(X)
        & ~ snail(X) )
      | ~ bird(Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f52,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ fox(Y)
      | ~ bird(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f15]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f54,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ wolf(Y)
      | ~ fox(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f16]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f56,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ( ~ grain(Y)
        & ~ fox(Y) )
      | ~ wolf(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f17]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f61,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ snail(Y)
      | ~ bird(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f19]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [X] :
      ( ? [Y] :
          ( eats(X,Y)
          & plant(Y) )
      | ( ~ snail(X)
        & ~ caterpillar(X) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f64,definition,
    ! [X] :
      ( sP0_prd(X)
    <=> ( ~ snail(X)
        & ~ caterpillar(X) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f65,plain,
    ! [X] :
      ( ? [Y] :
          ( eats(X,Y)
          & plant(Y) )
      | sP0_prd(X) ),
    inference(formula_renaming,[status(thm)],[f63,f64]) ).

fof(f66,plain,
    ! [X] :
      ( ( eats(X,sK6_skl(X))
        & plant(sK6_skl(X)) )
      | sP0_prd(X) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f65]) ).

fof(f67,plain,
    ! [X0] :
      ( plant(sK6_skl(X0))
      | sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( eats(X0,sK6_skl(X0))
      | sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f69,plain,
    ! [X,Y] :
      ( ! [Z] :
          ( ~ eats(X,Y)
          | ~ eats(Y,Z)
          | ~ grain(Z) )
      | ~ animal(Y)
      | ~ animal(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f22]) ).

fof(f70,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ! [Z] :
          ( ~ eats(Y,Z)
          | ~ grain(Z) )
      | ~ animal(Y)
      | ~ animal(X) ),
    inference(miniscoping,[status(thm)],[f69]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f72,plain,
    ! [X] :
      ( ( snail(X)
        | caterpillar(X)
        | sP0_prd(X) )
      & ( ( ~ snail(X)
          & ~ caterpillar(X) )
        | ~ sP0_prd(X) ) ),
    inference(NNF_transformation,[status(thm)],[f64]) ).

fof(f73,plain,
    ( ! [X] :
        ( snail(X)
        | caterpillar(X)
        | sP0_prd(X) )
    & ! [X] :
        ( ( ~ snail(X)
          & ~ caterpillar(X) )
        | ~ sP0_prd(X) ) ),
    inference(miniscoping,[status(thm)],[f72]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ snail(X0)
      | ~ sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ eats(X0,sK5_skl)
      | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[f44,f58]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,sK5_skl)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f44,f71]) ).

fof(f79,plain,
    ~ eats(sK0_skl,sK5_skl),
    inference(resolution,[status(thm)],[f26,f77]) ).

fof(f87,plain,
    animal(sK1_skl),
    inference(resolution,[status(thm)],[f30,f28]) ).

fof(f88,plain,
    ! [X0] :
      ( much_smaller(X0,sK2_skl)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f34,f50]) ).

fof(f89,plain,
    animal(sK2_skl),
    inference(resolution,[status(thm)],[f34,f32]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ eats(X0,sK2_skl)
      | ~ eats(sK2_skl,sK5_skl)
      | ~ animal(X0) ),
    inference(resolution,[status(thm)],[f89,f78]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( eats(sK2_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | ~ animal(X0)
      | eats(sK2_skl,X1)
      | ~ plant(X1)
      | ~ animal(sK2_skl)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f88,f48]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( eats(sK2_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | eats(sK2_skl,X1)
      | ~ plant(X1)
      | ~ animal(sK2_skl)
      | ~ snail(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f100,f40]) ).

fof(f105,plain,
    ! [X0] :
      ( much_smaller(X0,sK1_skl)
      | ~ bird(X0) ),
    inference(resolution,[status(thm)],[f53,f30]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( eats(sK1_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | ~ animal(X0)
      | eats(sK1_skl,X1)
      | ~ plant(X1)
      | ~ animal(sK1_skl)
      | ~ bird(X0) ),
    inference(resolution,[status(thm)],[f105,f48]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( eats(sK1_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | eats(sK1_skl,X1)
      | ~ plant(X1)
      | ~ animal(sK1_skl)
      | ~ bird(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f106,f32]) ).

fof(f108,plain,
    ! [X0] :
      ( much_smaller(sK1_skl,X0)
      | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[f55,f30]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( eats(X0,sK1_skl)
      | ~ eats(sK1_skl,X2)
      | ~ plant(X2)
      | ~ animal(sK1_skl)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0)
      | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[f108,f48]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( eats(X0,sK1_skl)
      | ~ eats(sK1_skl,X2)
      | ~ plant(X2)
      | ~ animal(sK1_skl)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ wolf(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f109,f24]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ eats(X0,sK1_skl)
      | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[f57,f30]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ eats(sK2_skl,X0)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f62,f34]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( eats(sK2_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | eats(sK2_skl,X1)
      | ~ plant(X1)
      | ~ snail(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f101,f89]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( ~ grain(X1)
      | eats(sK2_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | eats(sK2_skl,X1)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f124,f46]) ).

fof(f135,plain,
    ! [X0,X1,X2] :
      ( ~ grain(X1)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | eats(sK2_skl,X1)
      | ~ snail(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f128,f113]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ plant(X1)
      | eats(sK2_skl,sK5_skl)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f135,f44]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( sP0_prd(X1)
      | ~ eats(X0,sK6_skl(X1))
      | eats(sK2_skl,sK5_skl)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f142,f67]) ).

fof(f148,plain,
    ! [X0,X1,X2] :
      ( eats(sK1_skl,X0)
      | ~ eats(X0,X2)
      | ~ plant(X2)
      | eats(sK1_skl,X1)
      | ~ plant(X1)
      | ~ bird(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f107,f87]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( eats(sK1_skl,sK2_skl)
      | ~ eats(sK2_skl,X1)
      | ~ plant(X1)
      | eats(sK1_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f148,f34]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( eats(X0,sK1_skl)
      | ~ eats(sK1_skl,X2)
      | ~ plant(X2)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ wolf(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f110,f87]) ).

fof(f152,plain,
    ! [X0] :
      ( sP0_prd(X0)
      | sP0_prd(X0)
      | eats(sK2_skl,sK5_skl)
      | ~ snail(X0) ),
    inference(resolution,[status(thm)],[f145,f68]) ).

fof(f153,plain,
    ! [X0] :
      ( sP0_prd(X0)
      | eats(sK2_skl,sK5_skl)
      | ~ snail(X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f152]) ).

fof(f154,plain,
    ! [X0] :
      ( eats(sK2_skl,sK5_skl)
      | ~ snail(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f153,f75]) ).

fof(f155,plain,
    eats(sK2_skl,sK5_skl),
    inference(resolution,[status(thm)],[f154,f42]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ eats(X0,sK2_skl)
      | ~ animal(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f93,f155]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ animal(sK1_skl)
      | ~ eats(sK2_skl,X1)
      | ~ plant(X1)
      | eats(sK1_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f149,f157]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ eats(sK2_skl,X1)
      | ~ plant(X1)
      | eats(sK1_skl,X0)
      | ~ plant(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f166,f87]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ grain(X1)
      | ~ eats(sK2_skl,X1)
      | eats(sK1_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f167,f46]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ eats(sK2_skl,sK5_skl)
      | eats(sK1_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f169,f44]) ).

fof(f176,plain,
    ! [X0] :
      ( eats(sK1_skl,X0)
      | ~ plant(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f155]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( eats(X0,sK1_skl)
      | ~ plant(X2)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ wolf(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f150,f176]) ).

fof(f180,plain,
    ! [X0,X1,X2] :
      ( ~ plant(X2)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ wolf(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f177,f111]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ plant(X1)
      | eats(sK0_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f180,f26]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ grain(X1)
      | eats(sK0_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f185,f46]) ).

fof(f191,plain,
    ! [X0] :
      ( eats(sK0_skl,X0)
      | ~ plant(X0) ),
    inference(resolution,[status(thm)],[f188,f44]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ grain(X0)
      | eats(sK0_skl,X0) ),
    inference(resolution,[status(thm)],[f191,f46]) ).

fof(f197,plain,
    eats(sK0_skl,sK5_skl),
    inference(resolution,[status(thm)],[f195,f44]) ).

fof(f198,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f197,f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 03:46:04 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.40  % Refutation found
% 0.10/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42  % Elapsed time: 0.042996 seconds
% 0.10/0.42  % CPU time: 0.150505 seconds
% 0.10/0.42  % Total memory used: 17.919 MB
% 0.10/0.42  % Net memory used: 17.612 MB
%------------------------------------------------------------------------------