TSTP Solution File: PUZ002-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 : Fri May 19 11:47:22 EDT 2023
% Result : Unsatisfiable 2.45s 1.49s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 37 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 86 ( 22 ~; 20 |; 0 &; 44 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(avoided_type,type,
avoided: $i > $o ).
thf(the_kangaroo_type,type,
the_kangaroo: $i ).
thf(in_house_type,type,
in_house: $i > $o ).
thf(cat_type,type,
cat: $i > $o ).
thf(gazer_type,type,
gazer: $i > $o ).
thf(suitable_pet_type,type,
suitable_pet: $i > $o ).
thf(detested_type,type,
detested: $i > $o ).
thf(carnivore_type,type,
carnivore: $i > $o ).
thf(prowler_type,type,
prowler: $i > $o ).
thf(mouse_killer_type,type,
mouse_killer: $i > $o ).
thf(takes_to_me_type,type,
takes_to_me: $i > $o ).
thf(kangaroo_type,type,
kangaroo: $i > $o ).
thf(7,axiom,
! [A: $i] :
( ~ ( takes_to_me @ A )
| ( in_house @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_house_if_takes_to_me) ).
thf(25,plain,
! [A: $i] :
( ~ ( takes_to_me @ A )
| ( in_house @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( mouse_killer @ A )
| ( carnivore @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mouse_killers_are_carnivores) ).
thf(29,plain,
! [A: $i] :
( ~ ( mouse_killer @ A )
| ( carnivore @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
~ ( avoided @ the_kangaroo ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',avoid_kangaroo) ).
thf(13,plain,
~ ( avoided @ the_kangaroo ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( gazer @ A )
| ( suitable_pet @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gazers_are_suitable_pets) ).
thf(17,plain,
! [A: $i] :
( ~ ( gazer @ A )
| ( suitable_pet @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( kangaroo @ A )
| ~ ( suitable_pet @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kangaroos_are_not_pets) ).
thf(27,plain,
! [A: $i] :
( ~ ( kangaroo @ A )
| ~ ( suitable_pet @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
kangaroo @ the_kangaroo,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kangaroo_is_a_kangaroo) ).
thf(35,plain,
kangaroo @ the_kangaroo,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [A: $i] :
( ( takes_to_me @ A )
| ( detested @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',takes_to_me_or_detested) ).
thf(31,plain,
! [A: $i] :
( ( takes_to_me @ A )
| ( detested @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( cat @ A )
| ( mouse_killer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cats_are_mice_killers) ).
thf(23,plain,
! [A: $i] :
( ~ ( cat @ A )
| ( mouse_killer @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( ~ ( detested @ A )
| ( avoided @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',avoid_detested) ).
thf(19,plain,
! [A: $i] :
( ~ ( detested @ A )
| ( avoided @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [A: $i] :
( ~ ( in_house @ A )
| ( cat @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_cats_in_house) ).
thf(15,plain,
! [A: $i] :
( ~ ( in_house @ A )
| ( cat @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( carnivore @ A )
| ( prowler @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',carnivores_are_prowlers) ).
thf(21,plain,
! [A: $i] :
( ~ ( carnivore @ A )
| ( prowler @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [A: $i] :
( ~ ( prowler @ A )
| ( gazer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prowlers_are_gazers) ).
thf(33,plain,
! [A: $i] :
( ~ ( prowler @ A )
| ( gazer @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(36,plain,
$false,
inference(e,[status(thm)],[25,29,13,17,27,35,31,23,19,15,21,33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 19:56:43 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.85/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.95 % [INFO] Parsing done (106ms).
% 1.23/0.96 % [INFO] Running in sequential loop mode.
% 1.49/1.14 % [INFO] eprover registered as external prover.
% 1.49/1.14 % [INFO] cvc4 registered as external prover.
% 1.49/1.14 % [INFO] Scanning for conjecture ...
% 1.74/1.18 % [INFO] Found a conjecture and 11 axioms. Running axiom selection ...
% 1.74/1.20 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 1.82/1.21 % [INFO] Problem is propositional (TPTP CNF).
% 1.82/1.21 % [INFO] Type checking passed.
% 1.82/1.21 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.45/1.48 % External prover 'e' found a proof!
% 2.45/1.48 % [INFO] Killing All external provers ...
% 2.45/1.48 % Time passed: 964ms (effective reasoning time: 525ms)
% 2.45/1.48 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.45/1.48 % Axioms used in derivation (11): takes_to_me_or_detested, avoid_detested, prowlers_are_gazers, carnivores_are_prowlers, only_cats_in_house, kangaroo_is_a_kangaroo, cats_are_mice_killers, mouse_killers_are_carnivores, in_house_if_takes_to_me, kangaroos_are_not_pets, gazers_are_suitable_pets
% 2.45/1.48 % No. of inferences in proof: 25
% 2.45/1.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 964 ms resp. 525 ms w/o parsing
% 2.68/1.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.68/1.51 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------