%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:02 AM UTC 2026
% Result : Unsatisfiable 2.62s 1.89s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 5 unt; 0 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 : 0 ( 0 >; 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_decl,type,
avoided: $i > $o ).
thf(the_kangaroo_decl,type,
the_kangaroo: $i ).
thf(in_house_decl,type,
in_house: $i > $o ).
thf(cat_decl,type,
cat: $i > $o ).
thf(gazer_decl,type,
gazer: $i > $o ).
thf(suitable_pet_decl,type,
suitable_pet: $i > $o ).
thf(detested_decl,type,
detested: $i > $o ).
thf(carnivore_decl,type,
carnivore: $i > $o ).
thf(prowler_decl,type,
prowler: $i > $o ).
thf(mouse_killer_decl,type,
mouse_killer: $i > $o ).
thf(takes_to_me_decl,type,
takes_to_me: $i > $o ).
thf(kangaroo_decl,type,
kangaroo: $i > $o ).
thf(7,axiom,
! [A: $i] :
( ( A @ in_house )
| ~ ( A @ takes_to_me ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_house_if_takes_to_me) ).
thf(25,plain,
! [A: $i] :
( ( A @ in_house )
| ~ ( A @ takes_to_me ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ carnivore )
| ~ ( A @ mouse_killer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mouse_killers_are_carnivores) ).
thf(29,plain,
! [A: $i] :
( ( A @ carnivore )
| ~ ( A @ mouse_killer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
~ ( the_kangaroo @ avoided ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',avoid_kangaroo) ).
thf(13,plain,
~ ( the_kangaroo @ avoided ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ suitable_pet )
| ~ ( A @ gazer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gazers_are_suitable_pets) ).
thf(17,plain,
! [A: $i] :
( ( A @ suitable_pet )
| ~ ( A @ gazer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( A @ suitable_pet )
| ~ ( A @ kangaroo ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kangaroos_are_not_pets) ).
thf(27,plain,
! [A: $i] :
( ~ ( A @ suitable_pet )
| ~ ( A @ kangaroo ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
the_kangaroo @ kangaroo,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kangaroo_is_a_kangaroo) ).
thf(35,plain,
the_kangaroo @ kangaroo,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ detested )
| ( A @ takes_to_me ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',takes_to_me_or_detested) ).
thf(31,plain,
! [A: $i] :
( ( A @ detested )
| ( A @ takes_to_me ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ mouse_killer )
| ~ ( A @ cat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cats_are_mice_killers) ).
thf(23,plain,
! [A: $i] :
( ( A @ mouse_killer )
| ~ ( A @ cat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ avoided )
| ~ ( A @ detested ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',avoid_detested) ).
thf(19,plain,
! [A: $i] :
( ( A @ avoided )
| ~ ( A @ detested ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ cat )
| ~ ( A @ in_house ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_cats_in_house) ).
thf(15,plain,
! [A: $i] :
( ( A @ cat )
| ~ ( A @ in_house ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ prowler )
| ~ ( A @ carnivore ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',carnivores_are_prowlers) ).
thf(21,plain,
! [A: $i] :
( ( A @ prowler )
| ~ ( A @ carnivore ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ gazer )
| ~ ( A @ prowler ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prowlers_are_gazers) ).
thf(33,plain,
! [A: $i] :
( ( A @ gazer )
| ~ ( A @ prowler ) ),
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
% 0.00/0.02 % Problem : PUZ002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.38 % Computer : n012.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 05:02:35 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.74/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/1.03 % [INFO] Parsing done (148ms).
% 1.13/1.05 % [INFO] Running in sequential loop mode.
% 1.55/1.38 % [INFO] eprover registered as external prover.
% 1.55/1.38 % [INFO] Scanning for conjecture ...
% 1.74/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 1.74/1.45 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 1.74/1.46 % [INFO] Problem is propositional (TPTP CNF).
% 1.74/1.46 % [INFO] Type checking passed.
% 1.74/1.46 % [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 ...
% 2.62/1.89 % External prover 'e' found a proof!
% 2.62/1.89 % [INFO] Killing All external provers ...
% 2.62/1.89 % Time passed: 1381ms (effective reasoning time: 838ms)
% 2.62/1.89 % 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
% 2.62/1.89 % No. of inferences in proof: 25
% 2.62/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1381 ms resp. 838 ms w/o parsing
% 2.88/1.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.88/1.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------