TSTP Solution File: PUZ001-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n031.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 11:47:22 EDT 2023
% Result : Unsatisfiable 2.53s 1.52s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 40 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 49 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 20 ~; 18 |; 0 &; 68 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(killed_type,type,
killed: $i > $i > $o ).
thf(aunt_agatha_type,type,
aunt_agatha: $i ).
thf(lives_at_dreadsbury_type,type,
lives_at_dreadsbury: $i > $o ).
thf(someone_type,type,
someone: $i ).
thf(butler_type,type,
butler: $i ).
thf(charles_type,type,
charles: $i ).
thf(hates_type,type,
hates: $i > $i > $o ).
thf(richer_type,type,
richer: $i > $i > $o ).
thf(every_one_but_type,type,
every_one_but: $i > $i ).
thf(13,axiom,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ( hates @ butler @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).
thf(37,plain,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ( hates @ butler @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
lives_at_dreadsbury @ aunt_agatha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_lives_at_mansion) ).
thf(20,plain,
lives_at_dreadsbury @ aunt_agatha,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).
thf(41,plain,
aunt_agatha != butler,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,axiom,
! [A: $i] :
( ( A = butler )
| ( hates @ aunt_agatha @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_likes_only_butler) ).
thf(32,plain,
! [A: $i] :
( ( A = butler )
| ( hates @ aunt_agatha @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
lives_at_dreadsbury @ charles,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles_lives_at_mansion) ).
thf(22,plain,
lives_at_dreadsbury @ charles,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [A: $i] :
~ ( hates @ A @ ( every_one_but @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_hates_everyone) ).
thf(39,plain,
! [A: $i] :
~ ( hates @ A @ ( every_one_but @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [A: $i] :
( ( richer @ A @ aunt_agatha )
| ( hates @ butler @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor_people) ).
thf(35,plain,
! [A: $i] :
( ( richer @ A @ aunt_agatha )
| ( hates @ butler @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,axiom,
lives_at_dreadsbury @ someone,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_in_mansion) ).
thf(18,plain,
lives_at_dreadsbury @ someone,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
~ ( killed @ aunt_agatha @ aunt_agatha ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).
thf(16,plain,
~ ( killed @ aunt_agatha @ aunt_agatha ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ~ ( richer @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_poorer_than_victim) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ~ ( richer @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
lives_at_dreadsbury @ butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_lives_at_mansion) ).
thf(21,plain,
lives_at_dreadsbury @ butler,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ( hates @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ( hates @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( lives_at_dreadsbury @ A )
| ( A = aunt_agatha )
| ( A = butler )
| ( A = charles ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).
thf(23,plain,
! [A: $i] :
( ~ ( lives_at_dreadsbury @ A )
| ( A = aunt_agatha )
| ( A = butler )
| ( A = charles ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ~ ( hates @ charles @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).
thf(30,plain,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ~ ( hates @ charles @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
killed @ someone @ aunt_agatha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_killed_agatha) ).
thf(19,plain,
killed @ someone @ aunt_agatha,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(44,plain,
$false,
inference(e,[status(thm)],[37,20,41,32,22,39,35,18,16,28,21,26,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 20:24:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.83/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (112ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.53/1.16 % [INFO] eprover registered as external prover.
% 1.53/1.16 % [INFO] cvc4 registered as external prover.
% 1.53/1.16 % [INFO] Scanning for conjecture ...
% 1.77/1.21 % [INFO] Found a conjecture and 14 axioms. Running axiom selection ...
% 1.77/1.22 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.91/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.91/1.24 % [INFO] Type checking passed.
% 1.91/1.24 % [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 ...
% 2.53/1.51 % External prover 'e' found a proof!
% 2.53/1.51 % [INFO] Killing All external provers ...
% 2.53/1.52 % Time passed: 997ms (effective reasoning time: 544ms)
% 2.53/1.52 % 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)>
% 2.53/1.52 % Axioms used in derivation (14): butler_hates_poor_people, charles_and_agatha_hate_different_people, noone_else_lives_at_mansion, charles_lives_at_mansion, killer_hates_victim, agatha_is_not_the_butler, killer_poorer_than_victim, someone_killed_agatha, butler_and_agatha_hate_the_same_people, butler_lives_at_mansion, someone_in_mansion, noone_hates_everyone, agatha_lives_at_mansion, agatha_likes_only_butler
% 2.53/1.52 % No. of inferences in proof: 31
% 2.53/1.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 997 ms resp. 544 ms w/o parsing
% 2.70/1.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.70/1.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------