TSTP Solution File: PUZ132+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 11:47:46 EDT 2023
% Result : Theorem 2.80s 1.66s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 19
% Syntax : Number of formulae : 32 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 35 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 51 ( 2 ~; 0 |; 3 &; 38 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 8 !; 6 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(beautiful_type,type,
beautiful: $i > $o ).
thf(washington_type,type,
washington: $i ).
thf(has_crime_type,type,
has_crime: $i > $o ).
thf(capital_type,type,
capital: $i > $o ).
thf(city_type,type,
city: $i > $o ).
thf(country_type,type,
country: $i > $o ).
thf(usa_type,type,
usa: $i ).
thf(capital_city_type,type,
capital_city: $i > $i ).
thf(11,axiom,
( ( capital_city @ usa )
= washington ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',usa_capital_axiom) ).
thf(29,plain,
( ( capital_city @ usa )
= washington ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
? [A: $i] : ( country @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',country_type) ).
thf(21,plain,
? [A: $i] : ( country @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
( ( beautiful @ washington )
& ( has_crime @ washington ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',washington_conjecture) ).
thf(2,negated_conjecture,
~ ( ( beautiful @ washington )
& ( has_crime @ washington ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ( ( beautiful @ washington )
& ( has_crime @ washington ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
? [A: $i] : ( city @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',city_type) ).
thf(17,plain,
? [A: $i] : ( city @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [A: $i] :
( ( city @ A )
=> ( has_crime @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crime_axiom) ).
thf(27,plain,
! [A: $i] :
( ( city @ A )
=> ( has_crime @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
! [A: $i] :
( ( country @ A )
=> ( beautiful @ ( capital_city @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beautiful_capital_axiom) ).
thf(31,plain,
! [A: $i] :
( ( country @ A )
=> ( beautiful @ ( capital_city @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,axiom,
capital @ washington,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',washington_type) ).
thf(23,plain,
capital @ washington,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i] :
( ( capital @ A )
=> ( city @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',capital_city_type) ).
thf(19,plain,
! [A: $i] :
( ( capital @ A )
=> ( city @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
? [A: $i] : ( capital @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',capital_type) ).
thf(15,plain,
? [A: $i] : ( capital @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
country @ usa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',usa_type) ).
thf(24,plain,
country @ usa,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [A: $i] :
( ( country @ A )
=> ( capital @ ( capital_city @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',country_capital_type) ).
thf(25,plain,
! [A: $i] :
( ( country @ A )
=> ( capital @ ( capital_city @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[29,21,13,17,27,31,23,19,15,24,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.13 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:58:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.89/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.95 % [INFO] Parsing done (114ms).
% 1.19/0.96 % [INFO] Running in sequential loop mode.
% 1.57/1.18 % [INFO] eprover registered as external prover.
% 1.57/1.19 % [INFO] cvc4 registered as external prover.
% 1.57/1.19 % [INFO] Scanning for conjecture ...
% 1.57/1.24 % [INFO] Found a conjecture and 10 axioms. Running axiom selection ...
% 1.75/1.26 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 1.75/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.75/1.27 % [INFO] Type checking passed.
% 1.88/1.28 % [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 ...
% 2.80/1.66 % External prover 'e' found a proof!
% 2.80/1.66 % [INFO] Killing All external provers ...
% 2.80/1.66 % Time passed: 1150ms (effective reasoning time: 697ms)
% 2.80/1.66 % 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)>
% 2.80/1.66 % Axioms used in derivation (10): usa_type, usa_capital_axiom, city_type, country_capital_type, beautiful_capital_axiom, capital_type, country_type, capital_city_type, washington_type, crime_axiom
% 2.80/1.66 % No. of inferences in proof: 24
% 2.80/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1150 ms resp. 697 ms w/o parsing
% 2.85/1.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.85/1.68 % [INFO] Killing All external provers ...
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