%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% 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 : n013.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 08:21:09 AM UTC 2026
% Result : Theorem 3.81s 2.35s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 148 ( 8 ~; 2 |; 5 &; 131 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 57 ( 0 ^; 42 !; 15 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(animal_type,type,
animal: $tType ).
thf(wolf_type,type,
wolf: $tType ).
thf(fox_type,type,
fox: $tType ).
thf(bird_type,type,
bird: $tType ).
thf(caterpillar_type,type,
caterpillar: $tType ).
thf(snail_type,type,
snail: $tType ).
thf(plant_type,type,
plant: $tType ).
thf(grain_type,type,
grain: $tType ).
thf(edible_type,type,
edible: $tType ).
thf(wolf_to_animal_decl,type,
wolf_to_animal: wolf > animal ).
thf(fox_to_animal_decl,type,
fox_to_animal: fox > animal ).
thf(bird_to_animal_decl,type,
bird_to_animal: bird > animal ).
thf(caterpillar_to_animal_decl,type,
caterpillar_to_animal: caterpillar > animal ).
thf(snail_to_animal_decl,type,
snail_to_animal: snail > animal ).
thf(grain_to_plant_decl,type,
grain_to_plant: grain > plant ).
thf(animal_to_edible_decl,type,
animal_to_edible: animal > edible ).
thf(plant_to_edible_decl,type,
plant_to_edible: plant > edible ).
thf(eats_decl,type,
eats: animal > edible > $o ).
thf(much_smaller_decl,type,
much_smaller: animal > animal > $o ).
thf(7,axiom,
! [A: fox,B: wolf] : ( B @ wolf_to_animal @ ( A @ fox_to_animal @ much_smaller ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
thf(25,plain,
! [A: fox,B: wolf] : ( B @ wolf_to_animal @ ( A @ fox_to_animal @ much_smaller ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
? [A: animal,B: animal,C: grain] :
( ( B @ animal_to_edible @ ( A @ eats ) )
& ( C @ grain_to_plant @ plant_to_edible @ ( B @ eats ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
thf(2,negated_conjecture,
~ ? [A: animal,B: animal,C: grain] :
( ( B @ animal_to_edible @ ( A @ eats ) )
& ( C @ grain_to_plant @ plant_to_edible @ ( B @ eats ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ? [A: animal,B: animal,C: grain] :
( ( B @ animal_to_edible @ ( A @ eats ) )
& ( C @ grain_to_plant @ plant_to_edible @ ( B @ eats ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: animal] :
( ! [B: animal] :
( ( ? [C: plant] : ( C @ plant_to_edible @ ( B @ eats ) )
& ( A @ ( B @ much_smaller ) ) )
=> ( B @ animal_to_edible @ ( A @ eats ) ) )
| ! [B: plant] : ( B @ plant_to_edible @ ( A @ eats ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
thf(17,plain,
! [A: animal] :
( ! [B: animal] :
( ( ? [C: plant] : ( C @ plant_to_edible @ ( B @ eats ) )
& ( A @ ( B @ much_smaller ) ) )
=> ( B @ animal_to_edible @ ( A @ eats ) ) )
| ! [B: plant] : ( B @ plant_to_edible @ ( A @ eats ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: wolf,B: fox] :
~ ( B @ fox_to_animal @ animal_to_edible @ ( A @ wolf_to_animal @ eats ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
thf(27,plain,
! [A: wolf,B: fox] :
~ ( B @ fox_to_animal @ animal_to_edible @ ( A @ wolf_to_animal @ eats ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
! [A: bird,B: snail] :
~ ( B @ snail_to_animal @ animal_to_edible @ ( A @ bird_to_animal @ eats ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
thf(35,plain,
! [A: bird,B: snail] :
~ ( B @ snail_to_animal @ animal_to_edible @ ( A @ bird_to_animal @ eats ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
! [A: caterpillar] :
? [B: plant] : ( B @ plant_to_edible @ ( A @ caterpillar_to_animal @ eats ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
thf(38,plain,
! [A: caterpillar] :
? [B: plant] : ( B @ plant_to_edible @ ( A @ caterpillar_to_animal @ eats ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [A: caterpillar,B: bird] : ( B @ bird_to_animal @ ( A @ caterpillar_to_animal @ much_smaller ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8a) ).
thf(21,plain,
! [A: caterpillar,B: bird] : ( B @ bird_to_animal @ ( A @ caterpillar_to_animal @ much_smaller ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [A: bird,B: caterpillar] : ( B @ caterpillar_to_animal @ animal_to_edible @ ( A @ bird_to_animal @ eats ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_12) ).
thf(33,plain,
! [A: bird,B: caterpillar] : ( B @ caterpillar_to_animal @ animal_to_edible @ ( A @ bird_to_animal @ eats ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
! [A: snail] :
? [B: plant] : ( B @ plant_to_edible @ ( A @ snail_to_animal @ eats ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
thf(40,plain,
! [A: snail] :
? [B: plant] : ( B @ plant_to_edible @ ( A @ snail_to_animal @ eats ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [A: bird,B: fox] : ( B @ fox_to_animal @ ( A @ bird_to_animal @ much_smaller ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
thf(23,plain,
! [A: bird,B: fox] : ( B @ fox_to_animal @ ( A @ bird_to_animal @ much_smaller ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9,axiom,
! [A: wolf,B: grain] :
~ ( B @ grain_to_plant @ plant_to_edible @ ( A @ wolf_to_animal @ eats ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
thf(30,plain,
! [A: wolf,B: grain] :
~ ( B @ grain_to_plant @ plant_to_edible @ ( A @ wolf_to_animal @ eats ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [A: snail,B: bird] : ( B @ bird_to_animal @ ( A @ snail_to_animal @ much_smaller ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
thf(19,plain,
! [A: snail,B: bird] : ( B @ bird_to_animal @ ( A @ snail_to_animal @ much_smaller ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(42,plain,
$false,
inference(e,[status(thm)],[25,14,17,27,35,38,21,33,40,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% 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
% 0.14/0.39 % Computer : n013.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 05:05:21 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.89/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.18 % [INFO] Parsing done (205ms).
% 1.51/1.20 % [INFO] Running in sequential loop mode.
% 2.20/1.60 % [INFO] eprover registered as external prover.
% 2.20/1.61 % [INFO] Scanning for conjecture ...
% 2.39/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.39/1.76 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.39/1.78 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.39/1.79 % [INFO] Type checking passed.
% 2.39/1.80 % [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 ...
% 3.81/2.35 % External prover 'e' found a proof!
% 3.81/2.35 % [INFO] Killing All external provers ...
% 3.81/2.35 % Time passed: 1812ms (effective reasoning time: 1145ms)
% 3.81/2.35 % 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)>
% 3.81/2.35 % Axioms used in derivation (11): pel47_11, pel47_14a, pel47_14, pel47_8, pel47_13, pel47_11a, pel47_12, pel47_9, pel47_8a, pel47_7, pel47_10
% 3.81/2.35 % No. of inferences in proof: 26
% 3.81/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1812 ms resp. 1145 ms w/o parsing
% 4.08/2.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.08/2.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------