TSTP Solution File: PUZ002-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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 13:11:27 EDT 2023

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   46 (   6 unt;  12 typ;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   63 (  35   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            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   :   28 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    in_house: $i > $o ).

tff(decl_23,type,
    cat: $i > $o ).

tff(decl_24,type,
    gazer: $i > $o ).

tff(decl_25,type,
    suitable_pet: $i > $o ).

tff(decl_26,type,
    detested: $i > $o ).

tff(decl_27,type,
    avoided: $i > $o ).

tff(decl_28,type,
    carnivore: $i > $o ).

tff(decl_29,type,
    prowler: $i > $o ).

tff(decl_30,type,
    mouse_killer: $i > $o ).

tff(decl_31,type,
    takes_to_me: $i > $o ).

tff(decl_32,type,
    kangaroo: $i > $o ).

tff(decl_33,type,
    the_kangaroo: $i ).

cnf(mouse_killers_are_carnivores,axiom,
    ( carnivore(X1)
    | ~ mouse_killer(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mouse_killers_are_carnivores) ).

cnf(cats_are_mice_killers,axiom,
    ( mouse_killer(X1)
    | ~ cat(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cats_are_mice_killers) ).

cnf(carnivores_are_prowlers,axiom,
    ( prowler(X1)
    | ~ carnivore(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',carnivores_are_prowlers) ).

cnf(kangaroos_are_not_pets,axiom,
    ( ~ kangaroo(X1)
    | ~ suitable_pet(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kangaroos_are_not_pets) ).

cnf(gazers_are_suitable_pets,axiom,
    ( suitable_pet(X1)
    | ~ gazer(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gazers_are_suitable_pets) ).

cnf(prowlers_are_gazers,axiom,
    ( gazer(X1)
    | ~ prowler(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prowlers_are_gazers) ).

cnf(only_cats_in_house,axiom,
    ( cat(X1)
    | ~ in_house(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_cats_in_house) ).

cnf(in_house_if_takes_to_me,axiom,
    ( in_house(X1)
    | ~ takes_to_me(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_house_if_takes_to_me) ).

cnf(avoid_kangaroo,negated_conjecture,
    ~ avoided(the_kangaroo),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',avoid_kangaroo) ).

cnf(avoid_detested,axiom,
    ( avoided(X1)
    | ~ detested(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',avoid_detested) ).

cnf(takes_to_me_or_detested,axiom,
    ( takes_to_me(X1)
    | detested(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',takes_to_me_or_detested) ).

cnf(kangaroo_is_a_kangaroo,axiom,
    kangaroo(the_kangaroo),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kangaroo_is_a_kangaroo) ).

cnf(c_0_12,axiom,
    ( carnivore(X1)
    | ~ mouse_killer(X1) ),
    mouse_killers_are_carnivores ).

cnf(c_0_13,axiom,
    ( mouse_killer(X1)
    | ~ cat(X1) ),
    cats_are_mice_killers ).

cnf(c_0_14,axiom,
    ( prowler(X1)
    | ~ carnivore(X1) ),
    carnivores_are_prowlers ).

cnf(c_0_15,plain,
    ( carnivore(X1)
    | ~ cat(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,axiom,
    ( ~ kangaroo(X1)
    | ~ suitable_pet(X1) ),
    kangaroos_are_not_pets ).

cnf(c_0_17,axiom,
    ( suitable_pet(X1)
    | ~ gazer(X1) ),
    gazers_are_suitable_pets ).

cnf(c_0_18,axiom,
    ( gazer(X1)
    | ~ prowler(X1) ),
    prowlers_are_gazers ).

cnf(c_0_19,plain,
    ( prowler(X1)
    | ~ cat(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( ~ kangaroo(X1)
    | ~ gazer(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( gazer(X1)
    | ~ cat(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( ~ kangaroo(X1)
    | ~ cat(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,axiom,
    ( cat(X1)
    | ~ in_house(X1) ),
    only_cats_in_house ).

cnf(c_0_24,plain,
    ( ~ kangaroo(X1)
    | ~ in_house(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,axiom,
    ( in_house(X1)
    | ~ takes_to_me(X1) ),
    in_house_if_takes_to_me ).

cnf(c_0_26,negated_conjecture,
    ~ avoided(the_kangaroo),
    avoid_kangaroo ).

cnf(c_0_27,axiom,
    ( avoided(X1)
    | ~ detested(X1) ),
    avoid_detested ).

cnf(c_0_28,plain,
    ( ~ kangaroo(X1)
    | ~ takes_to_me(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,axiom,
    ( takes_to_me(X1)
    | detested(X1) ),
    takes_to_me_or_detested ).

cnf(c_0_30,negated_conjecture,
    ~ detested(the_kangaroo),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( detested(X1)
    | ~ kangaroo(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,axiom,
    kangaroo(the_kangaroo),
    kangaroo_is_a_kangaroo ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : PUZ002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Sat Aug 26 22:33:41 EDT 2023
% 0.17/0.33  % CPUTime  : 
% 0.18/0.54  start to proof: theBenchmark
% 0.18/0.55  % Version  : CSE_E---1.5
% 0.18/0.55  % Problem  : theBenchmark.p
% 0.18/0.55  % Proof found
% 0.18/0.55  % SZS status Theorem for theBenchmark.p
% 0.18/0.55  % SZS output start Proof
% See solution above
% 0.18/0.55  % Total time : 0.003000 s
% 0.18/0.55  % SZS output end Proof
% 0.18/0.55  % Total time : 0.005000 s
%------------------------------------------------------------------------------