%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n015.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 08:21:24 AM UTC 2026
% Result : Theorem 2.47s 6.67s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 2 ~; 2 |; 0 &; 42 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(animal_type,type,
animal: $tType ).
thf(cat_type,type,
cat: $tType ).
thf(dog_type,type,
dog: $tType ).
thf(human_type,type,
human: $tType ).
thf(cat_to_animal_decl,type,
cat_to_animal: cat > animal ).
thf(dog_to_animal_decl,type,
dog_to_animal: dog > animal ).
thf(garfield_decl,type,
garfield: cat ).
thf(odie_decl,type,
odie: dog ).
thf(jon_decl,type,
jon: human ).
thf(owner_of_decl,type,
owner_of: animal > human ).
thf(chased_decl,type,
chased: dog > cat > $o ).
thf(hates_decl,type,
hates: human > human > $o ).
thf(3,axiom,
! [A: animal] :
? [B: human] :
( B
= ( A @ owner_of ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',human_owner) ).
thf(10,plain,
! [A: animal] :
? [B: human] :
( B
= ( A @ owner_of ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: cat,B: dog] :
( ( A @ ( B @ chased ) )
=> ( B @ dog_to_animal @ owner_of @ ( A @ cat_to_animal @ owner_of @ hates ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog_chase_cat) ).
thf(20,plain,
! [A: cat,B: dog] :
( ( A @ ( B @ chased ) )
=> ( B @ dog_to_animal @ owner_of @ ( A @ cat_to_animal @ owner_of @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
jon @ ( jon @ hates ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_hates_jon) ).
thf(2,negated_conjecture,
~ ( jon @ ( jon @ hates ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( jon @ ( jon @ hates ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
( jon
= ( garfield @ cat_to_animal @ owner_of ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_garfield) ).
thf(13,plain,
( jon
= ( garfield @ cat_to_animal @ owner_of ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: animal] :
( ( jon
= ( A @ owner_of ) )
=> ( ( A
= ( odie @ dog_to_animal ) )
| ( A
= ( garfield @ cat_to_animal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_only) ).
thf(17,plain,
! [A: animal] :
( ( jon
= ( A @ owner_of ) )
=> ( ( A
= ( odie @ dog_to_animal ) )
| ( A
= ( garfield @ cat_to_animal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,axiom,
garfield @ ( odie @ chased ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chased_garfield) ).
thf(22,plain,
garfield @ ( odie @ chased ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
( jon
= ( odie @ dog_to_animal @ owner_of ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_odie) ).
thf(15,plain,
( jon
= ( odie @ dog_to_animal @ owner_of ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[10,20,9,13,17,22,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/5.57 % Computer : n015.cluster.edu
% 0.13/5.57 % Model : x86_64 x86_64
% 0.13/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.57 % Memory : 8046.5625MB
% 0.13/5.57 % OS : Linux 6.8.0-71-generic
% 0.13/5.57 % CPULimit : 300
% 0.13/5.57 % WCLimit : 300
% 0.13/5.58 % DateTime : Sat Sep 26 05:22:06 UTC 2026
% 0.13/5.58 % CPUTime :
% 0.13/5.58 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.18/5.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/5.95 % [INFO] Parsing done (91ms).
% 0.18/5.96 % [INFO] Running in sequential loop mode.
% 1.32/6.15 % [INFO] eprover registered as external prover.
% 1.32/6.15 % [INFO] Scanning for conjecture ...
% 1.32/6.19 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.50/6.21 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.50/6.22 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.50/6.22 % [INFO] Type checking passed.
% 1.50/6.23 % [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 ...
% 2.47/6.66 % External prover 'e' found a proof!
% 2.47/6.66 % [INFO] Killing All external provers ...
% 2.47/6.66 % Time passed: 1000ms (effective reasoning time: 699ms)
% 2.47/6.66 % 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)>
% 2.47/6.67 % Axioms used in derivation (6): odie_chased_garfield, dog_chase_cat, human_owner, jon_owns_only, jon_owns_odie, jon_owns_garfield
% 2.47/6.67 % No. of inferences in proof: 16
% 2.47/6.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1000 ms resp. 699 ms w/o parsing
% 2.71/6.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.71/6.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------