TSTP Solution File: PUZ031+3 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 11:47:29 EDT 2023
% Result : Theorem 3.43s 1.80s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 40
% Syntax : Number of formulae : 71 ( 19 unt; 11 typ; 0 def)
% Number of atoms : 142 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 265 ( 8 ~; 2 |; 36 &; 175 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 91 ( 0 ^; 58 !; 33 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(animal_type,type,
animal: $i > $o ).
thf(grain_type,type,
grain: $i > $o ).
thf(eats_type,type,
eats: $i > $i > $o ).
thf(bird_type,type,
bird: $i > $o ).
thf(caterpillar_type,type,
caterpillar: $i > $o ).
thf(much_smaller_type,type,
much_smaller: $i > $i > $o ).
thf(fox_type,type,
fox: $i > $o ).
thf(wolf_type,type,
wolf: $i > $o ).
thf(snail_type,type,
snail: $i > $o ).
thf(edible_type,type,
edible: $i > $o ).
thf(plant_type,type,
plant: $i > $o ).
thf(20,axiom,
? [A: $i] : ( animal @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',animal_type) ).
thf(69,plain,
? [A: $i] : ( animal @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
? [A: $i] : ( bird @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
thf(56,plain,
? [A: $i] : ( bird @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(7,axiom,
? [A: $i] : ( edible @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',edible_type) ).
thf(42,plain,
? [A: $i] : ( edible @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
? [A: $i] : ( snail @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
thf(52,plain,
? [A: $i] : ( snail @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
? [A: $i] : ( fox @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
thf(46,plain,
? [A: $i] : ( fox @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( fox @ B ) )
=> ( much_smaller @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
thf(38,plain,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( fox @ B ) )
=> ( much_smaller @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( ( wolf @ A )
& ( fox @ B ) )
=> ~ ( eats @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
thf(77,plain,
! [A: $i,B: $i] :
( ( ( wolf @ A )
& ( fox @ B ) )
=> ~ ( eats @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(22,axiom,
! [A: $i] :
( ( wolf @ A )
=> ( animal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_animal) ).
thf(73,plain,
! [A: $i] :
( ( wolf @ A )
=> ( animal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(8,axiom,
? [A: $i] : ( wolf @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
thf(44,plain,
? [A: $i] : ( wolf @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(26,axiom,
! [A: $i] :
( ( bird @ A )
=> ( animal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_animal) ).
thf(81,plain,
! [A: $i] :
( ( bird @ A )
=> ( animal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(19,axiom,
! [A: $i] :
( ( caterpillar @ A )
=> ? [B: $i] :
( ( plant @ B )
& ( eats @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
thf(66,plain,
! [A: $i] :
( ( caterpillar @ A )
=> ? [B: $i] :
( ( plant @ B )
& ( eats @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,axiom,
! [A: $i] :
( ( plant @ A )
=> ( edible @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plant_is_edible) ).
thf(48,plain,
! [A: $i] :
( ( plant @ A )
=> ( edible @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(29,axiom,
! [A: $i] :
( ( snail @ A )
=> ? [B: $i] :
( ( plant @ B )
& ( eats @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
thf(87,plain,
! [A: $i] :
( ( snail @ A )
=> ? [B: $i] :
( ( plant @ B )
& ( eats @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( snail @ B ) )
=> ( much_smaller @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( snail @ B ) )
=> ( much_smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( fox @ A )
& ( wolf @ B ) )
=> ( much_smaller @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( ( fox @ A )
& ( wolf @ B ) )
=> ( much_smaller @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(25,axiom,
? [A: $i] : ( grain @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
thf(79,plain,
? [A: $i] : ( grain @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(17,axiom,
! [A: $i] :
( ( animal @ A )
=> ( edible @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',animal_is_edible) ).
thf(62,plain,
! [A: $i] :
( ( animal @ A )
=> ( edible @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(16,axiom,
! [A: $i] :
( ( animal @ A )
=> ( ! [B: $i] :
( ( plant @ B )
=> ( eats @ A @ B ) )
| ! [B: $i] :
( ( animal @ B )
=> ( ( ( much_smaller @ B @ A )
& ? [C: $i] :
( ( plant @ C )
& ( eats @ B @ C ) ) )
=> ( eats @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
thf(60,plain,
! [A: $i] :
( ( animal @ A )
=> ( ! [B: $i] :
( ( plant @ B )
=> ( eats @ A @ B ) )
| ! [B: $i] :
( ( animal @ B )
=> ( ( ( much_smaller @ B @ A )
& ? [C: $i] :
( ( plant @ C )
& ( eats @ B @ C ) ) )
=> ( eats @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(28,axiom,
! [A: $i] :
( ( snail @ A )
=> ( animal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_animal) ).
thf(85,plain,
! [A: $i] :
( ( snail @ A )
=> ( animal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( caterpillar @ B ) )
=> ( much_smaller @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8a) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( caterpillar @ B ) )
=> ( much_smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( caterpillar @ B ) )
=> ( eats @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_12) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( caterpillar @ B ) )
=> ( eats @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(21,axiom,
! [A: $i] :
( ( grain @ A )
=> ( plant @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_plant) ).
thf(71,plain,
! [A: $i] :
( ( grain @ A )
=> ( plant @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(13,axiom,
? [A: $i] : ( plant @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plant_type) ).
thf(54,plain,
? [A: $i] : ( plant @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
? [A: $i] : ( caterpillar @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',caterpillar_type) ).
thf(50,plain,
? [A: $i] : ( caterpillar @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
? [A: $i,B: $i,C: $i] :
( ( animal @ A )
& ( animal @ B )
& ( grain @ C )
& ( eats @ B @ C )
& ( eats @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i] :
( ( animal @ A )
& ( animal @ B )
& ( grain @ C )
& ( eats @ B @ C )
& ( eats @ A @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(31,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( animal @ A )
& ( animal @ B )
& ( grain @ C )
& ( eats @ B @ C )
& ( eats @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,axiom,
! [A: $i] :
( ( caterpillar @ A )
=> ( animal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',caterpillar_is_animal) ).
thf(75,plain,
! [A: $i] :
( ( caterpillar @ A )
=> ( animal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( snail @ B ) )
=> ~ ( eats @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( ( bird @ A )
& ( snail @ B ) )
=> ~ ( eats @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,axiom,
! [A: $i] :
( ( fox @ A )
=> ( animal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_animal) ).
thf(90,plain,
! [A: $i] :
( ( fox @ A )
=> ( animal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( wolf @ A )
& ( grain @ B ) )
=> ~ ( eats @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
thf(83,plain,
! [A: $i,B: $i] :
( ( ( wolf @ A )
& ( grain @ B ) )
=> ~ ( eats @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(92,plain,
$false,
inference(e,[status(thm)],[69,56,42,52,46,38,77,73,44,81,66,48,87,40,36,79,62,60,85,34,64,71,54,50,31,75,58,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 20:12:51 EDT 2023
% 0.16/0.38 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/1.01 % [INFO] Parsing done (133ms).
% 1.11/1.01 % [INFO] Running in sequential loop mode.
% 1.79/1.23 % [INFO] eprover registered as external prover.
% 1.79/1.23 % [INFO] cvc4 registered as external prover.
% 1.86/1.24 % [INFO] Scanning for conjecture ...
% 1.86/1.29 % [INFO] Found a conjecture and 28 axioms. Running axiom selection ...
% 2.04/1.34 % [INFO] Axiom selection finished. Selected 28 axioms (removed 0 axioms).
% 2.04/1.36 % [INFO] Problem is first-order (TPTP FOF).
% 2.04/1.37 % [INFO] Type checking passed.
% 2.04/1.37 % [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 ...
% 3.36/1.80 % External prover 'e' found a proof!
% 3.36/1.80 % [INFO] Killing All external provers ...
% 3.36/1.80 % Time passed: 1259ms (effective reasoning time: 780ms)
% 3.36/1.80 % 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)>
% 3.43/1.80 % Axioms used in derivation (28): pel47_11, fox_is_animal, bird_type, pel47_14a, snail_type, pel47_11a, pel47_12, bird_is_animal, animal_type, animal_is_edible, wolf_is_animal, caterpillar_type, pel47_7, pel47_10, snail_is_animal, fox_type, pel47_14, edible_type, pel47_8, wolf_type, pel47_13, grain_is_plant, pel47_9, plant_type, grain_type, plant_is_edible, caterpillar_is_animal, pel47_8a
% 3.43/1.80 % No. of inferences in proof: 60
% 3.43/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1259 ms resp. 780 ms w/o parsing
% 3.72/1.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.72/1.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------