TSTP Solution File: PUZ002-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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  : 600s
% DateTime : Mon Jul 18 18:20:24 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   42 (   4 unt;  18 nHn;  24 RR)
%            Number of literals    :   80 (   0 equ;  23 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(only_cats_in_house,axiom,
    ( ~ in_house(Cat)
    | cat(Cat) ) ).

cnf(gazers_are_suitable_pets,axiom,
    ( ~ gazer(Gazer)
    | suitable_pet(Gazer) ) ).

cnf(avoid_detested,axiom,
    ( ~ detested(Detested)
    | avoided(Detested) ) ).

cnf(carnivores_are_prowlers,axiom,
    ( ~ carnivore(Carnivore)
    | prowler(Carnivore) ) ).

cnf(cats_are_mice_killers,axiom,
    ( ~ cat(Cat)
    | mouse_killer(Cat) ) ).

cnf(in_house_if_takes_to_me,axiom,
    ( ~ takes_to_me(Taken_animal)
    | in_house(Taken_animal) ) ).

cnf(kangaroos_are_not_pets,axiom,
    ( ~ kangaroo(Kangaroo)
    | ~ suitable_pet(Kangaroo) ) ).

cnf(mouse_killers_are_carnivores,axiom,
    ( ~ mouse_killer(Killer)
    | carnivore(Killer) ) ).

cnf(takes_to_me_or_detested,axiom,
    ( takes_to_me(Animal)
    | detested(Animal) ) ).

cnf(prowlers_are_gazers,axiom,
    ( ~ prowler(Prowler)
    | gazer(Prowler) ) ).

cnf(kangaroo_is_a_kangaroo,axiom,
    kangaroo(the_kangaroo) ).

cnf(avoid_kangaroo,negated_conjecture,
    ~ avoided(the_kangaroo) ).

cnf(refute_0_0,plain,
    ( ~ gazer(X_15)
    | suitable_pet(X_15) ),
    inference(subst,[],[gazers_are_suitable_pets:[bind(Gazer,$fot(X_15))]]) ).

cnf(refute_0_1,plain,
    ( ~ prowler(X_14)
    | gazer(X_14) ),
    inference(subst,[],[prowlers_are_gazers:[bind(Prowler,$fot(X_14))]]) ).

cnf(refute_0_2,plain,
    ( ~ carnivore(X_13)
    | prowler(X_13) ),
    inference(subst,[],[carnivores_are_prowlers:[bind(Carnivore,$fot(X_13))]]) ).

cnf(refute_0_3,plain,
    ( ~ mouse_killer(X_12)
    | carnivore(X_12) ),
    inference(subst,[],[mouse_killers_are_carnivores:[bind(Killer,$fot(X_12))]]) ).

cnf(refute_0_4,plain,
    ( ~ cat(X_11)
    | mouse_killer(X_11) ),
    inference(subst,[],[cats_are_mice_killers:[bind(Cat,$fot(X_11))]]) ).

cnf(refute_0_5,plain,
    ( ~ detested(X_10)
    | avoided(X_10) ),
    inference(subst,[],[avoid_detested:[bind(Detested,$fot(X_10))]]) ).

cnf(refute_0_6,plain,
    ( ~ in_house(X_9)
    | cat(X_9) ),
    inference(subst,[],[only_cats_in_house:[bind(Cat,$fot(X_9))]]) ).

cnf(refute_0_7,plain,
    ( detested(X_8)
    | takes_to_me(X_8) ),
    inference(subst,[],[takes_to_me_or_detested:[bind(Animal,$fot(X_8))]]) ).

cnf(refute_0_8,plain,
    ( ~ takes_to_me(X_8)
    | in_house(X_8) ),
    inference(subst,[],[in_house_if_takes_to_me:[bind(Taken_animal,$fot(X_8))]]) ).

cnf(refute_0_9,plain,
    ( detested(X_8)
    | in_house(X_8) ),
    inference(resolve,[$cnf( takes_to_me(X_8) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( detested(X_9)
    | in_house(X_9) ),
    inference(subst,[],[refute_0_9:[bind(X_8,$fot(X_9))]]) ).

cnf(refute_0_11,plain,
    ( cat(X_9)
    | detested(X_9) ),
    inference(resolve,[$cnf( in_house(X_9) )],[refute_0_10,refute_0_6]) ).

cnf(refute_0_12,plain,
    ( cat(X_10)
    | detested(X_10) ),
    inference(subst,[],[refute_0_11:[bind(X_9,$fot(X_10))]]) ).

cnf(refute_0_13,plain,
    ( avoided(X_10)
    | cat(X_10) ),
    inference(resolve,[$cnf( detested(X_10) )],[refute_0_12,refute_0_5]) ).

cnf(refute_0_14,plain,
    ( avoided(X_11)
    | cat(X_11) ),
    inference(subst,[],[refute_0_13:[bind(X_10,$fot(X_11))]]) ).

cnf(refute_0_15,plain,
    ( avoided(X_11)
    | mouse_killer(X_11) ),
    inference(resolve,[$cnf( cat(X_11) )],[refute_0_14,refute_0_4]) ).

cnf(refute_0_16,plain,
    ( avoided(X_12)
    | mouse_killer(X_12) ),
    inference(subst,[],[refute_0_15:[bind(X_11,$fot(X_12))]]) ).

cnf(refute_0_17,plain,
    ( avoided(X_12)
    | carnivore(X_12) ),
    inference(resolve,[$cnf( mouse_killer(X_12) )],[refute_0_16,refute_0_3]) ).

cnf(refute_0_18,plain,
    ( avoided(X_13)
    | carnivore(X_13) ),
    inference(subst,[],[refute_0_17:[bind(X_12,$fot(X_13))]]) ).

cnf(refute_0_19,plain,
    ( avoided(X_13)
    | prowler(X_13) ),
    inference(resolve,[$cnf( carnivore(X_13) )],[refute_0_18,refute_0_2]) ).

cnf(refute_0_20,plain,
    ( avoided(X_14)
    | prowler(X_14) ),
    inference(subst,[],[refute_0_19:[bind(X_13,$fot(X_14))]]) ).

cnf(refute_0_21,plain,
    ( avoided(X_14)
    | gazer(X_14) ),
    inference(resolve,[$cnf( prowler(X_14) )],[refute_0_20,refute_0_1]) ).

cnf(refute_0_22,plain,
    ( avoided(X_15)
    | gazer(X_15) ),
    inference(subst,[],[refute_0_21:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_23,plain,
    ( avoided(X_15)
    | suitable_pet(X_15) ),
    inference(resolve,[$cnf( gazer(X_15) )],[refute_0_22,refute_0_0]) ).

cnf(refute_0_24,plain,
    ( avoided(X_17)
    | suitable_pet(X_17) ),
    inference(subst,[],[refute_0_23:[bind(X_15,$fot(X_17))]]) ).

cnf(refute_0_25,plain,
    ( ~ kangaroo(X_17)
    | ~ suitable_pet(X_17) ),
    inference(subst,[],[kangaroos_are_not_pets:[bind(Kangaroo,$fot(X_17))]]) ).

cnf(refute_0_26,plain,
    ( ~ kangaroo(X_17)
    | avoided(X_17) ),
    inference(resolve,[$cnf( suitable_pet(X_17) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ kangaroo(the_kangaroo)
    | avoided(the_kangaroo) ),
    inference(subst,[],[refute_0_26:[bind(X_17,$fot(the_kangaroo))]]) ).

cnf(refute_0_28,plain,
    avoided(the_kangaroo),
    inference(resolve,[$cnf( kangaroo(the_kangaroo) )],[kangaroo_is_a_kangaroo,refute_0_27]) ).

cnf(refute_0_29,plain,
    $false,
    inference(resolve,[$cnf( avoided(the_kangaroo) )],[refute_0_28,avoid_kangaroo]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 02:26:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------