TSTP Solution File: PUZ031+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:19:37 EDT 2023

% Result   : Theorem 1.92s 1.16s
% Output   : CNFRefutation 1.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  154 (  38 unt;   0 def)
%            Number of atoms       :  412 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  472 ( 214   ~; 190   |;  34   &)
%                                         (   0 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  190 (   0 sgn; 106   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ? [X0] : wolf(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).

fof(f5,axiom,
    ! [X0] :
      ( wolf(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).

fof(f6,axiom,
    ? [X0] : fox(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).

fof(f7,axiom,
    ! [X0] :
      ( fox(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).

fof(f8,axiom,
    ? [X0] : bird(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).

fof(f9,axiom,
    ! [X0] :
      ( bird(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).

fof(f12,axiom,
    ? [X0] : snail(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).

fof(f13,axiom,
    ! [X0] :
      ( snail(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).

fof(f14,axiom,
    ? [X0] : plant(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plant_type) ).

fof(f16,axiom,
    ? [X0] : grain(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).

fof(f17,axiom,
    ! [X0] :
      ( grain(X0)
     => plant(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).

fof(f18,axiom,
    ! [X1] :
      ( animal(X1)
     => ( ! [X3] :
            ( animal(X3)
           => ( ( ? [X4] :
                    ( eats(X3,X4)
                    & plant(X4) )
                & much_smaller(X3,X1) )
             => eats(X1,X3) ) )
        | ! [X2] :
            ( plant(X2)
           => eats(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).

fof(f19,axiom,
    ! [X2,X1] :
      ( ( snail(X1)
        & bird(X2) )
     => much_smaller(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).

fof(f21,axiom,
    ! [X1,X2] :
      ( ( fox(X2)
        & bird(X1) )
     => much_smaller(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).

fof(f22,axiom,
    ! [X1,X2] :
      ( ( wolf(X2)
        & fox(X1) )
     => much_smaller(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).

fof(f23,axiom,
    ! [X1,X2] :
      ( ( fox(X2)
        & wolf(X1) )
     => ~ eats(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).

fof(f24,axiom,
    ! [X1,X2] :
      ( ( grain(X2)
        & wolf(X1) )
     => ~ eats(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).

fof(f26,axiom,
    ! [X1,X2] :
      ( ( snail(X2)
        & bird(X1) )
     => ~ eats(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).

fof(f28,axiom,
    ! [X1] :
      ( snail(X1)
     => ? [X2] :
          ( eats(X1,X2)
          & plant(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).

fof(f29,conjecture,
    ? [X1,X2,X4] :
      ( eats(X1,X2)
      & eats(X2,X4)
      & grain(X4)
      & animal(X2)
      & animal(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).

fof(f30,negated_conjecture,
    ~ ? [X1,X2,X4] :
        ( eats(X1,X2)
        & eats(X2,X4)
        & grain(X4)
        & animal(X2)
        & animal(X1) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f31,plain,
    ! [X0] :
      ( animal(X0)
     => ( ! [X1] :
            ( animal(X1)
           => ( ( ? [X2] :
                    ( eats(X1,X2)
                    & plant(X2) )
                & much_smaller(X1,X0) )
             => eats(X0,X1) ) )
        | ! [X3] :
            ( plant(X3)
           => eats(X0,X3) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( snail(X1)
        & bird(X0) )
     => much_smaller(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( fox(X1)
        & bird(X0) )
     => much_smaller(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( wolf(X1)
        & fox(X0) )
     => much_smaller(X0,X1) ),
    inference(rectify,[],[f22]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( fox(X1)
        & wolf(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( grain(X1)
        & wolf(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( snail(X1)
        & bird(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f26]) ).

fof(f41,plain,
    ! [X0] :
      ( snail(X0)
     => ? [X1] :
          ( eats(X0,X1)
          & plant(X1) ) ),
    inference(rectify,[],[f28]) ).

fof(f42,plain,
    ~ ? [X0,X1,X2] :
        ( eats(X0,X1)
        & eats(X1,X2)
        & grain(X2)
        & animal(X1)
        & animal(X0) ),
    inference(rectify,[],[f30]) ).

fof(f46,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f48,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f50,plain,
    ! [X0] :
      ( animal(X0)
      | ~ snail(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f51,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( eats(X0,X1)
          | ! [X2] :
              ( ~ eats(X1,X2)
              | ~ plant(X2) )
          | ~ much_smaller(X1,X0)
          | ~ animal(X1) )
      | ! [X3] :
          ( eats(X0,X3)
          | ~ plant(X3) )
      | ~ animal(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( eats(X0,X1)
          | ! [X2] :
              ( ~ eats(X1,X2)
              | ~ plant(X2) )
          | ~ much_smaller(X1,X0)
          | ~ animal(X1) )
      | ! [X3] :
          ( eats(X0,X3)
          | ~ plant(X3) )
      | ~ animal(X0) ),
    inference(flattening,[],[f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f54]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f58]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(flattening,[],[f60]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(flattening,[],[f64]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f68]) ).

fof(f71,plain,
    ! [X0] :
      ( ? [X1] :
          ( eats(X0,X1)
          & plant(X1) )
      | ~ snail(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f75,plain,
    ( ? [X0] : wolf(X0)
   => wolf(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    wolf(sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f4,f75]) ).

fof(f77,plain,
    ( ? [X0] : fox(X0)
   => fox(sK2) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    fox(sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f6,f77]) ).

fof(f79,plain,
    ( ? [X0] : bird(X0)
   => bird(sK3) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    bird(sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f8,f79]) ).

fof(f83,plain,
    ( ? [X0] : snail(X0)
   => snail(sK5) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    snail(sK5),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f12,f83]) ).

fof(f85,plain,
    ( ? [X0] : plant(X0)
   => plant(sK6) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    plant(sK6),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f14,f85]) ).

fof(f87,plain,
    ( ? [X0] : grain(X0)
   => grain(sK7) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    grain(sK7),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f16,f87]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1] :
          ( eats(X0,X1)
          & plant(X1) )
     => ( eats(X0,sK9(X0))
        & plant(sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ! [X0] :
      ( ( eats(X0,sK9(X0))
        & plant(sK9(X0)) )
      | ~ snail(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f71,f91]) ).

fof(f94,plain,
    wolf(sK1),
    inference(cnf_transformation,[],[f76]) ).

fof(f95,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f96,plain,
    fox(sK2),
    inference(cnf_transformation,[],[f78]) ).

fof(f97,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f98,plain,
    bird(sK3),
    inference(cnf_transformation,[],[f80]) ).

fof(f99,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f102,plain,
    snail(sK5),
    inference(cnf_transformation,[],[f84]) ).

fof(f103,plain,
    ! [X0] :
      ( animal(X0)
      | ~ snail(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f104,plain,
    plant(sK6),
    inference(cnf_transformation,[],[f86]) ).

fof(f105,plain,
    grain(sK7),
    inference(cnf_transformation,[],[f88]) ).

fof(f106,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ plant(X2)
      | ~ much_smaller(X1,X0)
      | ~ animal(X1)
      | eats(X0,X3)
      | ~ plant(X3)
      | ~ animal(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f118,plain,
    ! [X0] :
      ( plant(sK9(X0))
      | ~ snail(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f119,plain,
    ! [X0] :
      ( eats(X0,sK9(X0))
      | ~ snail(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_50,plain,
    wolf(sK1),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_51,plain,
    ( ~ wolf(X0)
    | animal(X0) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_52,plain,
    fox(sK2),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_53,plain,
    ( ~ fox(X0)
    | animal(X0) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_54,plain,
    bird(sK3),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_55,plain,
    ( ~ bird(X0)
    | animal(X0) ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_58,plain,
    snail(sK5),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_59,plain,
    ( ~ snail(X0)
    | animal(X0) ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_60,plain,
    plant(sK6),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_61,plain,
    grain(sK7),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_62,plain,
    ( ~ grain(X0)
    | plant(X0) ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_63,plain,
    ( ~ eats(X0,X1)
    | ~ much_smaller(X0,X2)
    | ~ animal(X0)
    | ~ animal(X2)
    | ~ plant(X1)
    | ~ plant(X3)
    | eats(X2,X0)
    | eats(X2,X3) ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_64,plain,
    ( ~ bird(X0)
    | ~ snail(X1)
    | much_smaller(X1,X0) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_66,plain,
    ( ~ fox(X0)
    | ~ bird(X1)
    | much_smaller(X1,X0) ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_67,plain,
    ( ~ wolf(X0)
    | ~ fox(X1)
    | much_smaller(X1,X0) ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_68,plain,
    ( ~ eats(X0,X1)
    | ~ wolf(X0)
    | ~ fox(X1) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_69,plain,
    ( ~ eats(X0,X1)
    | ~ wolf(X0)
    | ~ grain(X1) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_71,plain,
    ( ~ eats(X0,X1)
    | ~ bird(X0)
    | ~ snail(X1) ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_74,plain,
    ( ~ snail(X0)
    | eats(X0,sK9(X0)) ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_75,plain,
    ( ~ snail(X0)
    | plant(sK9(X0)) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_76,negated_conjecture,
    ( ~ eats(X0,X1)
    | ~ eats(X1,X2)
    | ~ animal(X0)
    | ~ animal(X1)
    | ~ grain(X2) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_221,plain,
    ( ~ eats(sK1,X0)
    | ~ grain(X0) ),
    inference(resolution,[status(thm)],[c_50,c_69]) ).

cnf(c_229,plain,
    ( ~ eats(sK1,X0)
    | ~ fox(X0) ),
    inference(resolution,[status(thm)],[c_50,c_68]) ).

cnf(c_237,plain,
    ( ~ fox(X0)
    | much_smaller(X0,sK1) ),
    inference(resolution,[status(thm)],[c_50,c_67]) ).

cnf(c_245,plain,
    animal(sK1),
    inference(resolution,[status(thm)],[c_50,c_51]) ).

cnf(c_256,plain,
    much_smaller(sK2,sK1),
    inference(resolution,[status(thm)],[c_52,c_237]) ).

cnf(c_260,plain,
    ~ eats(sK1,sK2),
    inference(resolution,[status(thm)],[c_52,c_229]) ).

cnf(c_264,plain,
    ( ~ bird(X0)
    | much_smaller(X0,sK2) ),
    inference(resolution,[status(thm)],[c_52,c_66]) ).

cnf(c_272,plain,
    animal(sK2),
    inference(resolution,[status(thm)],[c_52,c_53]) ).

cnf(c_281,plain,
    ~ eats(sK1,sK7),
    inference(resolution,[status(thm)],[c_61,c_221]) ).

cnf(c_285,plain,
    plant(sK7),
    inference(resolution,[status(thm)],[c_61,c_62]) ).

cnf(c_289,plain,
    ( ~ eats(X0,X1)
    | ~ eats(X1,sK7)
    | ~ animal(X0)
    | ~ animal(X1) ),
    inference(resolution,[status(thm)],[c_61,c_76]) ).

cnf(c_344,plain,
    plant(sK9(sK5)),
    inference(resolution,[status(thm)],[c_58,c_75]) ).

cnf(c_348,plain,
    eats(sK5,sK9(sK5)),
    inference(resolution,[status(thm)],[c_58,c_74]) ).

cnf(c_352,plain,
    animal(sK5),
    inference(resolution,[status(thm)],[c_58,c_59]) ).

cnf(c_356,plain,
    ( ~ eats(X0,sK5)
    | ~ bird(X0) ),
    inference(resolution,[status(thm)],[c_58,c_71]) ).

cnf(c_364,plain,
    ( ~ bird(X0)
    | much_smaller(sK5,X0) ),
    inference(resolution,[status(thm)],[c_58,c_64]) ).

cnf(c_379,plain,
    much_smaller(sK5,sK3),
    inference(resolution,[status(thm)],[c_54,c_364]) ).

cnf(c_383,plain,
    ~ eats(sK3,sK5),
    inference(resolution,[status(thm)],[c_54,c_356]) ).

cnf(c_395,plain,
    much_smaller(sK3,sK2),
    inference(resolution,[status(thm)],[c_54,c_264]) ).

cnf(c_399,plain,
    animal(sK3),
    inference(resolution,[status(thm)],[c_54,c_55]) ).

cnf(c_409,plain,
    ( ~ eats(sK2,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | ~ animal(sK1)
    | ~ animal(sK2)
    | eats(sK1,X1)
    | eats(sK1,sK2) ),
    inference(resolution,[status(thm)],[c_63,c_256]) ).

cnf(c_411,plain,
    ( eats(sK1,X1)
    | ~ plant(X1)
    | ~ plant(X0)
    | ~ eats(sK2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_245,c_260,c_272,c_409]) ).

cnf(c_412,plain,
    ( ~ eats(sK2,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | eats(sK1,X1) ),
    inference(renaming,[status(thm)],[c_411]) ).

cnf(c_426,plain,
    ( ~ eats(sK5,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | ~ animal(sK3)
    | ~ animal(sK5)
    | eats(sK3,X1)
    | eats(sK3,sK5) ),
    inference(resolution,[status(thm)],[c_63,c_379]) ).

cnf(c_428,plain,
    ( eats(sK3,X1)
    | ~ plant(X1)
    | ~ plant(X0)
    | ~ eats(sK5,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_352,c_383,c_399,c_426]) ).

cnf(c_429,plain,
    ( ~ eats(sK5,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | eats(sK3,X1) ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_444,plain,
    ( ~ eats(sK3,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | ~ animal(sK2)
    | ~ animal(sK3)
    | eats(sK2,X1)
    | eats(sK2,sK3) ),
    inference(resolution,[status(thm)],[c_63,c_395]) ).

cnf(c_446,plain,
    ( ~ eats(sK3,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | eats(sK2,X1)
    | eats(sK2,sK3) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_272,c_399,c_444]) ).

cnf(c_543,plain,
    ( eats(sK2,X0)
    | ~ plant(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_446]) ).

cnf(c_544,plain,
    ( ~ eats(sK3,X0)
    | ~ plant(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_446]) ).

cnf(c_545,plain,
    ( eats(sK2,sK3)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_546,plain,
    ( eats(sK3,X0)
    | ~ plant(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_429]) ).

cnf(c_547,plain,
    ( ~ eats(sK5,X0)
    | ~ plant(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_429]) ).

cnf(c_548,plain,
    ( sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_549,plain,
    ( eats(sK1,X0)
    | ~ plant(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_412]) ).

cnf(c_550,plain,
    ( ~ eats(sK2,X0)
    | ~ plant(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_412]) ).

cnf(c_551,plain,
    ( sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_558,plain,
    ( ~ plant(sK6)
    | ~ sP2_iProver_split
    | eats(sK3,sK6) ),
    inference(instantiation,[status(thm)],[c_546]) ).

cnf(c_559,plain,
    ( ~ plant(sK7)
    | ~ sP2_iProver_split
    | eats(sK3,sK7) ),
    inference(instantiation,[status(thm)],[c_546]) ).

cnf(c_563,plain,
    ( ~ plant(sK7)
    | ~ sP4_iProver_split
    | eats(sK1,sK7) ),
    inference(instantiation,[status(thm)],[c_549]) ).

cnf(c_566,plain,
    ( ~ eats(X0,sK3)
    | ~ eats(sK3,sK7)
    | ~ animal(X0)
    | ~ animal(sK3) ),
    inference(instantiation,[status(thm)],[c_289]) ).

cnf(c_568,plain,
    ( ~ eats(sK2,sK6)
    | ~ plant(sK6)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_550]) ).

cnf(c_575,plain,
    ( ~ eats(sK5,sK9(sK5))
    | ~ plant(sK9(sK5))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_547]) ).

cnf(c_577,plain,
    ( ~ eats(sK2,sK3)
    | ~ eats(sK3,sK7)
    | ~ animal(sK2)
    | ~ animal(sK3) ),
    inference(instantiation,[status(thm)],[c_566]) ).

cnf(c_578,plain,
    ( ~ plant(sK6)
    | ~ sP0_iProver_split
    | eats(sK2,sK6) ),
    inference(instantiation,[status(thm)],[c_543]) ).

cnf(c_582,plain,
    ( ~ eats(sK3,sK6)
    | ~ plant(sK6)
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_544]) ).

cnf(c_583,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_582,c_578,c_577,c_575,c_568,c_563,c_559,c_558,c_545,c_551,c_548,c_399,c_348,c_344,c_285,c_281,c_272,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 21:57:52 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.21/0.46  Running first-order theorem proving
% 0.21/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.92/1.16  % SZS status Started for theBenchmark.p
% 1.92/1.16  % SZS status Theorem for theBenchmark.p
% 1.92/1.16  
% 1.92/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.92/1.16  
% 1.92/1.16  ------  iProver source info
% 1.92/1.16  
% 1.92/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.92/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.92/1.16  git: non_committed_changes: false
% 1.92/1.16  git: last_make_outside_of_git: false
% 1.92/1.16  
% 1.92/1.16  ------ Parsing...
% 1.92/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.92/1.16  
% 1.92/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.92/1.16  
% 1.92/1.16  ------ Preprocessing... gs_s  sp: 6 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.92/1.16  ------ Proving...
% 1.92/1.16  ------ Problem Properties 
% 1.92/1.16  
% 1.92/1.16  
% 1.92/1.16  clauses                                 26
% 1.92/1.16  conjectures                             0
% 1.92/1.16  EPR                                     22
% 1.92/1.16  Horn                                    23
% 1.92/1.16  unary                                   16
% 1.92/1.16  binary                                  2
% 1.92/1.16  lits                                    45
% 1.92/1.16  lits eq                                 0
% 1.92/1.16  fd_pure                                 0
% 1.92/1.16  fd_pseudo                               0
% 1.92/1.16  fd_cond                                 0
% 1.92/1.16  fd_pseudo_cond                          0
% 1.92/1.16  AC symbols                              0
% 1.92/1.16  
% 1.92/1.16  ------ Schedule dynamic 5 is on 
% 1.92/1.16  
% 1.92/1.16  ------ no conjectures: strip conj schedule 
% 1.92/1.16  
% 1.92/1.16  ------ no equalities: superposition off 
% 1.92/1.16  
% 1.92/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.92/1.16  
% 1.92/1.16  
% 1.92/1.16  ------ 
% 1.92/1.16  Current options:
% 1.92/1.16  ------ 
% 1.92/1.16  
% 1.92/1.16  
% 1.92/1.16  
% 1.92/1.16  
% 1.92/1.16  ------ Proving...
% 1.92/1.16  
% 1.92/1.16  
% 1.92/1.16  % SZS status Theorem for theBenchmark.p
% 1.92/1.16  
% 1.92/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.16  
% 1.92/1.16  
%------------------------------------------------------------------------------