TSTP Solution File: PUZ031+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Tue Apr 30 14:44:59 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  127 (  30 unt;   0 def)
%            Number of atoms       :  358 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  393 ( 162   ~; 164   |;  34   &)
%                                         (   0 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  161 ( 136   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(subsumption_resolution,[],[f259,f117]) ).

fof(f117,plain,
    wolf(sK6),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    wolf(sK6),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f4,f85]) ).

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

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

fof(f259,plain,
    ~ wolf(sK6),
    inference(subsumption_resolution,[],[f256,f113]) ).

fof(f113,plain,
    grain(sK2),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    grain(sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f16,f77]) ).

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

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

fof(f256,plain,
    ( ~ grain(sK2)
    | ~ wolf(sK6) ),
    inference(resolution,[],[f250,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( grain(X1)
        & wolf(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f24]) ).

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

fof(f250,plain,
    eats(sK6,sK2),
    inference(subsumption_resolution,[],[f249,f117]) ).

fof(f249,plain,
    ( eats(sK6,sK2)
    | ~ wolf(sK6) ),
    inference(subsumption_resolution,[],[f246,f114]) ).

fof(f114,plain,
    fox(sK3),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    fox(sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f6,f79]) ).

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

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

fof(f246,plain,
    ( eats(sK6,sK2)
    | ~ fox(sK3)
    | ~ wolf(sK6) ),
    inference(resolution,[],[f243,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f36]) ).

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

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

fof(f243,plain,
    ( eats(sK6,sK3)
    | eats(sK6,sK2) ),
    inference(resolution,[],[f239,f121]) ).

fof(f121,plain,
    plant(sK2),
    inference(resolution,[],[f94,f113]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ grain(X0)
      | plant(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(ennf_transformation,[],[f17]) ).

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

fof(f239,plain,
    ! [X0] :
      ( ~ plant(X0)
      | eats(sK6,X0)
      | eats(sK6,sK3) ),
    inference(subsumption_resolution,[],[f234,f121]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ plant(sK2)
      | eats(sK6,sK3)
      | eats(sK6,X0)
      | ~ plant(X0) ),
    inference(resolution,[],[f233,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ eats(sK3,X0)
      | ~ plant(X0)
      | eats(sK6,sK3)
      | eats(sK6,X1)
      | ~ plant(X1) ),
    inference(subsumption_resolution,[],[f163,f124]) ).

fof(f124,plain,
    animal(sK6),
    inference(resolution,[],[f97,f117]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ wolf(X0)
      | animal(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f163,plain,
    ! [X0,X1] :
      ( ~ eats(sK3,X0)
      | ~ plant(X0)
      | eats(sK6,sK3)
      | eats(sK6,X1)
      | ~ plant(X1)
      | ~ animal(sK6) ),
    inference(subsumption_resolution,[],[f159,f123]) ).

fof(f123,plain,
    animal(sK3),
    inference(resolution,[],[f96,f114]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ fox(X0)
      | animal(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f159,plain,
    ! [X0,X1] :
      ( ~ eats(sK3,X0)
      | ~ plant(X0)
      | eats(sK6,sK3)
      | ~ animal(sK3)
      | eats(sK6,X1)
      | ~ plant(X1)
      | ~ animal(sK6) ),
    inference(resolution,[],[f104,f140]) ).

fof(f140,plain,
    much_smaller(sK3,sK6),
    inference(resolution,[],[f139,f117]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ wolf(X0)
      | much_smaller(sK3,X0) ),
    inference(resolution,[],[f107,f114]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ fox(X0)
      | ~ wolf(X1)
      | much_smaller(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( wolf(X1)
        & fox(X0) )
     => much_smaller(X0,X1) ),
    inference(rectify,[],[f22]) ).

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

fof(f104,plain,
    ! [X2,X3,X0,X1] :
      ( ~ much_smaller(X1,X0)
      | ~ eats(X1,X2)
      | ~ plant(X2)
      | eats(X0,X1)
      | ~ animal(X1)
      | eats(X0,X3)
      | ~ plant(X3)
      | ~ animal(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,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,[],[f55]) ).

fof(f55,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,[],[f34]) ).

fof(f34,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(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(f233,plain,
    eats(sK3,sK2),
    inference(subsumption_resolution,[],[f229,f113]) ).

fof(f229,plain,
    ( eats(sK3,sK2)
    | ~ grain(sK2) ),
    inference(resolution,[],[f226,f182]) ).

fof(f182,plain,
    eats(sK7,sK2),
    inference(subsumption_resolution,[],[f181,f118]) ).

fof(f118,plain,
    bird(sK7),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    bird(sK7),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f8,f87]) ).

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

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

fof(f181,plain,
    ( eats(sK7,sK2)
    | ~ bird(sK7) ),
    inference(subsumption_resolution,[],[f177,f116]) ).

fof(f116,plain,
    snail(sK5),
    inference(cnf_transformation,[],[f84]) ).

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

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

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

fof(f177,plain,
    ( eats(sK7,sK2)
    | ~ snail(sK5)
    | ~ bird(sK7) ),
    inference(resolution,[],[f173,f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( snail(X1)
        & bird(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f26]) ).

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

fof(f173,plain,
    ( eats(sK7,sK5)
    | eats(sK7,sK2) ),
    inference(resolution,[],[f170,f121]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ plant(X0)
      | eats(sK7,X0)
      | eats(sK7,sK5) ),
    inference(subsumption_resolution,[],[f169,f128]) ).

fof(f128,plain,
    plant(sK1(sK5)),
    inference(resolution,[],[f101,f116]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ snail(X0)
      | plant(sK1(X0)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( eats(X0,sK1(X0))
        & plant(sK1(X0)) )
      | ~ snail(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f53,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X1] :
          ( eats(X0,X1)
          & plant(X1) )
     => ( eats(X0,sK1(X0))
        & plant(sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0] :
      ( ? [X1] :
          ( eats(X0,X1)
          & plant(X1) )
      | ~ snail(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( snail(X0)
     => ? [X1] :
          ( eats(X0,X1)
          & plant(X1) ) ),
    inference(rectify,[],[f28]) ).

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

fof(f169,plain,
    ! [X0] :
      ( ~ plant(sK1(sK5))
      | eats(sK7,sK5)
      | eats(sK7,X0)
      | ~ plant(X0) ),
    inference(resolution,[],[f166,f132]) ).

fof(f132,plain,
    eats(sK5,sK1(sK5)),
    inference(resolution,[],[f102,f116]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ snail(X0)
      | eats(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ eats(sK5,X0)
      | ~ plant(X0)
      | eats(sK7,sK5)
      | eats(sK7,X1)
      | ~ plant(X1) ),
    inference(subsumption_resolution,[],[f165,f126]) ).

fof(f126,plain,
    animal(sK7),
    inference(resolution,[],[f103,f118]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ bird(X0)
      | animal(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f9]) ).

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

fof(f165,plain,
    ! [X0,X1] :
      ( ~ eats(sK5,X0)
      | ~ plant(X0)
      | eats(sK7,sK5)
      | eats(sK7,X1)
      | ~ plant(X1)
      | ~ animal(sK7) ),
    inference(subsumption_resolution,[],[f161,f125]) ).

fof(f125,plain,
    animal(sK5),
    inference(resolution,[],[f98,f116]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ snail(X0)
      | animal(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( animal(X0)
      | ~ snail(X0) ),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f161,plain,
    ! [X0,X1] :
      ( ~ eats(sK5,X0)
      | ~ plant(X0)
      | eats(sK7,sK5)
      | ~ animal(sK5)
      | eats(sK7,X1)
      | ~ plant(X1)
      | ~ animal(sK7) ),
    inference(resolution,[],[f104,f146]) ).

fof(f146,plain,
    much_smaller(sK5,sK7),
    inference(resolution,[],[f145,f118]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ bird(X0)
      | much_smaller(sK5,X0) ),
    inference(resolution,[],[f110,f116]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ snail(X1)
      | much_smaller(X1,X0)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f68]) ).

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

fof(f67,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( snail(X1)
        & bird(X0) )
     => much_smaller(X1,X0) ),
    inference(rectify,[],[f19]) ).

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

fof(f226,plain,
    ! [X0] :
      ( ~ eats(sK7,X0)
      | eats(sK3,sK2)
      | ~ grain(X0) ),
    inference(subsumption_resolution,[],[f225,f123]) ).

fof(f225,plain,
    ! [X0] :
      ( eats(sK3,sK2)
      | ~ eats(sK7,X0)
      | ~ grain(X0)
      | ~ animal(sK3) ),
    inference(subsumption_resolution,[],[f224,f126]) ).

fof(f224,plain,
    ! [X0] :
      ( eats(sK3,sK2)
      | ~ eats(sK7,X0)
      | ~ grain(X0)
      | ~ animal(sK7)
      | ~ animal(sK3) ),
    inference(resolution,[],[f218,f93]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ? [X0,X1,X2] :
        ( eats(X0,X1)
        & eats(X1,X2)
        & grain(X2)
        & animal(X1)
        & animal(X0) ),
    inference(rectify,[],[f30]) ).

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

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(f218,plain,
    ( eats(sK3,sK7)
    | eats(sK3,sK2) ),
    inference(resolution,[],[f190,f121]) ).

fof(f190,plain,
    ! [X0] :
      ( ~ plant(X0)
      | eats(sK3,X0)
      | eats(sK3,sK7) ),
    inference(subsumption_resolution,[],[f185,f121]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ plant(sK2)
      | eats(sK3,sK7)
      | eats(sK3,X0)
      | ~ plant(X0) ),
    inference(resolution,[],[f182,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ eats(sK7,X0)
      | ~ plant(X0)
      | eats(sK3,sK7)
      | eats(sK3,X1)
      | ~ plant(X1) ),
    inference(subsumption_resolution,[],[f167,f123]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ eats(sK7,X0)
      | ~ plant(X0)
      | eats(sK3,sK7)
      | eats(sK3,X1)
      | ~ plant(X1)
      | ~ animal(sK3) ),
    inference(subsumption_resolution,[],[f162,f126]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ eats(sK7,X0)
      | ~ plant(X0)
      | eats(sK3,sK7)
      | ~ animal(sK7)
      | eats(sK3,X1)
      | ~ plant(X1)
      | ~ animal(sK3) ),
    inference(resolution,[],[f104,f148]) ).

fof(f148,plain,
    much_smaller(sK7,sK3),
    inference(resolution,[],[f147,f114]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ fox(X0)
      | much_smaller(sK7,X0) ),
    inference(resolution,[],[f111,f118]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ bird(X0)
      | ~ fox(X1)
      | much_smaller(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( fox(X1)
        & bird(X0) )
     => much_smaller(X0,X1) ),
    inference(rectify,[],[f21]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 01:52:11 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (24174)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (24176)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (24175)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (24178)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (24177)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (24179)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (24180)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (24181)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (24179)First to succeed.
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  % (24180)Also succeeded, but the first one will report.
% 0.14/0.38  % (24179)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (24179)------------------------------
% 0.14/0.38  % (24179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (24179)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (24179)Memory used [KB]: 782
% 0.14/0.38  % (24179)Time elapsed: 0.006 s
% 0.14/0.38  % (24179)Instructions burned: 9 (million)
% 0.14/0.38  % (24179)------------------------------
% 0.14/0.38  % (24179)------------------------------
% 0.14/0.38  % (24174)Success in time 0.023 s
%------------------------------------------------------------------------------