TSTP Solution File: PUZ001-2 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : PUZ001-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 : Tue May 21 02:27:05 EDT 2024
% Result : Unsatisfiable 9.84s 3.74s
% Output : Refutation 9.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 77 ( 29 unt; 9 typ; 0 def)
% Number of atoms : 139 ( 52 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 288 ( 63 ~; 51 |; 0 &; 174 @)
% ( 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 : 49 ( 0 ^ 49 !; 0 ?; 49 :)
% 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(11,axiom,
! [A: $i] :
( ( A = butler )
| ( hates @ aunt_agatha @ A ) ),
file('/export/starexec/sandbox/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(33,plain,
! [A: $i] :
( ( A = butler )
| ( hates @ aunt_agatha @ A ) ),
inference(cnf,[status(esa)],[32]) ).
thf(34,plain,
! [A: $i] :
( ( A = butler )
| ( hates @ aunt_agatha @ A ) ),
inference(lifteq,[status(thm)],[33]) ).
thf(2,axiom,
lives_at_dreadsbury @ someone,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_in_mansion) ).
thf(18,plain,
lives_at_dreadsbury @ someone,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( lives_at_dreadsbury @ A )
| ( A = aunt_agatha )
| ( A = butler )
| ( A = charles ) ),
file('/export/starexec/sandbox/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(24,plain,
! [A: $i] :
( ~ ( lives_at_dreadsbury @ A )
| ( A = aunt_agatha )
| ( A = butler )
| ( A = charles ) ),
inference(cnf,[status(esa)],[23]) ).
thf(25,plain,
! [A: $i] :
( ( A = aunt_agatha )
| ( A = butler )
| ( A = charles )
| ~ ( lives_at_dreadsbury @ A ) ),
inference(lifteq,[status(thm)],[24]) ).
thf(59,plain,
! [A: $i] :
( ( A = aunt_agatha )
| ( A = butler )
| ( A = charles )
| ( ( lives_at_dreadsbury @ someone )
!= ( lives_at_dreadsbury @ A ) ) ),
inference(paramod_ordered,[status(thm)],[18,25]) ).
thf(60,plain,
( ( someone = aunt_agatha )
| ( butler = someone )
| ( charles = someone ) ),
inference(pattern_uni,[status(thm)],[59:[bind(A,$thf( someone ))]]) ).
thf(3,axiom,
killed @ someone @ aunt_agatha,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_killed_agatha) ).
thf(19,plain,
killed @ someone @ aunt_agatha,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ( hates @ A @ B ) ),
file('/export/starexec/sandbox/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(27,plain,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ( hates @ A @ B ) ),
inference(cnf,[status(esa)],[26]) ).
thf(15,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).
thf(41,plain,
aunt_agatha != butler,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(42,plain,
aunt_agatha != butler,
inference(polarity_switch,[status(thm)],[41]) ).
thf(43,plain,
butler != aunt_agatha,
inference(lifteq,[status(thm)],[42]) ).
thf(86,plain,
! [A: $i] :
( ( hates @ aunt_agatha @ A )
| ( A != aunt_agatha )
| ( butler != butler ) ),
inference(paramod_ordered,[status(thm)],[34,43]) ).
thf(87,plain,
! [A: $i] :
( ( hates @ aunt_agatha @ A )
| ( A != aunt_agatha ) ),
inference(pattern_uni,[status(thm)],[86:[]]) ).
thf(99,plain,
hates @ aunt_agatha @ aunt_agatha,
inference(simp,[status(thm)],[87]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ~ ( hates @ charles @ A ) ),
file('/export/starexec/sandbox/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(31,plain,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ~ ( hates @ charles @ A ) ),
inference(cnf,[status(esa)],[30]) ).
thf(135,plain,
! [A: $i] :
( ~ ( hates @ charles @ A )
| ( ( hates @ aunt_agatha @ aunt_agatha )
!= ( hates @ aunt_agatha @ A ) ) ),
inference(paramod_ordered,[status(thm)],[99,31]) ).
thf(136,plain,
~ ( hates @ charles @ aunt_agatha ),
inference(pattern_uni,[status(thm)],[135:[bind(A,$thf( aunt_agatha ))]]) ).
thf(184,plain,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ( ( hates @ A @ B )
!= ( hates @ charles @ aunt_agatha ) ) ),
inference(paramod_ordered,[status(thm)],[27,136]) ).
thf(185,plain,
~ ( killed @ charles @ aunt_agatha ),
inference(pattern_uni,[status(thm)],[184:[bind(A,$thf( charles )),bind(B,$thf( aunt_agatha ))]]) ).
thf(208,plain,
( ( killed @ charles @ aunt_agatha )
!= ( killed @ someone @ aunt_agatha ) ),
inference(paramod_ordered,[status(thm)],[19,185]) ).
thf(209,plain,
( ( charles != someone )
| ( aunt_agatha != aunt_agatha ) ),
inference(simp,[status(thm)],[208]) ).
thf(210,plain,
charles != someone,
inference(simp,[status(thm)],[209]) ).
thf(1,negated_conjecture,
~ ( killed @ aunt_agatha @ aunt_agatha ),
file('/export/starexec/sandbox/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(17,plain,
~ ( killed @ aunt_agatha @ aunt_agatha ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(44,plain,
( ( killed @ someone @ aunt_agatha )
!= ( killed @ aunt_agatha @ aunt_agatha ) ),
inference(paramod_ordered,[status(thm)],[19,17]) ).
thf(45,plain,
( ( someone != aunt_agatha )
| ( aunt_agatha != aunt_agatha ) ),
inference(simp,[status(thm)],[44]) ).
thf(46,plain,
someone != aunt_agatha,
inference(simp,[status(thm)],[45]) ).
thf(268,plain,
butler = someone,
inference(simplifyReflect,[status(thm)],[60,210,46]) ).
thf(274,plain,
! [A: $i] :
( ( A = someone )
| ( hates @ aunt_agatha @ A ) ),
inference(rewrite,[status(thm)],[34,268]) ).
thf(13,axiom,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ( hates @ butler @ A ) ),
file('/export/starexec/sandbox/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(38,plain,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ( hates @ butler @ A ) ),
inference(cnf,[status(esa)],[37]) ).
thf(331,plain,
! [A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ( hates @ someone @ A ) ),
inference(rewrite,[status(thm)],[38,268]) ).
thf(14,axiom,
! [A: $i] :
~ ( hates @ A @ ( every_one_but @ A ) ),
file('/export/starexec/sandbox/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(40,plain,
! [A: $i] :
~ ( hates @ A @ ( every_one_but @ A ) ),
inference(polarity_switch,[status(thm)],[39]) ).
thf(337,plain,
! [B: $i,A: $i] :
( ~ ( hates @ aunt_agatha @ A )
| ( ( hates @ someone @ A )
!= ( hates @ B @ ( every_one_but @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[331,40]) ).
thf(338,plain,
~ ( hates @ aunt_agatha @ ( every_one_but @ someone ) ),
inference(pattern_uni,[status(thm)],[337:[bind(A,$thf( every_one_but @ someone )),bind(B,$thf( someone ))]]) ).
thf(484,plain,
! [A: $i] :
( ( A = someone )
| ( ( hates @ aunt_agatha @ A )
!= ( hates @ aunt_agatha @ ( every_one_but @ someone ) ) ) ),
inference(paramod_ordered,[status(thm)],[274,338]) ).
thf(485,plain,
( ( every_one_but @ someone )
= someone ),
inference(pattern_uni,[status(thm)],[484:[bind(A,$thf( every_one_but @ someone ))]]) ).
thf(12,axiom,
! [A: $i] :
( ( richer @ A @ aunt_agatha )
| ( hates @ butler @ A ) ),
file('/export/starexec/sandbox/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(36,plain,
! [A: $i] :
( ( richer @ A @ aunt_agatha )
| ( hates @ butler @ A ) ),
inference(cnf,[status(esa)],[35]) ).
thf(291,plain,
! [A: $i] :
( ( richer @ A @ aunt_agatha )
| ( hates @ someone @ A ) ),
inference(rewrite,[status(thm)],[36,268]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ~ ( richer @ A @ B ) ),
file('/export/starexec/sandbox/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(29,plain,
! [B: $i,A: $i] :
( ~ ( killed @ A @ B )
| ~ ( richer @ A @ B ) ),
inference(cnf,[status(esa)],[28]) ).
thf(246,plain,
! [B: $i,A: $i] :
( ~ ( richer @ A @ B )
| ( ( killed @ someone @ aunt_agatha )
!= ( killed @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[19,29]) ).
thf(247,plain,
~ ( richer @ someone @ aunt_agatha ),
inference(pattern_uni,[status(thm)],[246:[bind(A,$thf( someone )),bind(B,$thf( aunt_agatha ))]]) ).
thf(292,plain,
! [A: $i] :
( ( hates @ someone @ A )
| ( ( richer @ A @ aunt_agatha )
!= ( richer @ someone @ aunt_agatha ) ) ),
inference(paramod_ordered,[status(thm)],[291,247]) ).
thf(293,plain,
hates @ someone @ someone,
inference(pattern_uni,[status(thm)],[292:[bind(A,$thf( someone ))]]) ).
thf(303,plain,
! [A: $i] :
( ( hates @ someone @ someone )
!= ( hates @ A @ ( every_one_but @ A ) ) ),
inference(paramod_ordered,[status(thm)],[293,40]) ).
thf(308,plain,
! [A: $i] :
( ( someone != A )
| ( ( every_one_but @ A )
!= someone ) ),
inference(simp,[status(thm)],[303]) ).
thf(313,plain,
( ( every_one_but @ someone )
!= someone ),
inference(simp,[status(thm)],[308]) ).
thf(520,plain,
$false,
inference(simplifyReflect,[status(thm)],[485,313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ001-2 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n025.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 : Sat May 18 11:02:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.27/1.15 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.61/1.34 % [INFO] Parsing done (188ms).
% 1.61/1.35 % [INFO] Running in sequential loop mode.
% 2.32/1.81 % [INFO] nitpick registered as external prover.
% 2.37/1.82 % [INFO] Scanning for conjecture ...
% 2.57/1.92 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.57/1.96 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.57/1.98 % [INFO] Problem is propositional (TPTP CNF).
% 2.74/1.99 % [INFO] Type checking passed.
% 2.74/1.99 % [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 ...
% 9.84/3.73 % [INFO] Killing All external provers ...
% 9.84/3.73 % Time passed: 3195ms (effective reasoning time: 2370ms)
% 9.84/3.74 % Axioms used in derivation (11): butler_hates_poor_people, charles_and_agatha_hate_different_people, noone_else_lives_at_mansion, butler_and_agatha_hate_the_same_people, killer_hates_victim, agatha_is_not_the_butler, killer_poorer_than_victim, agatha_likes_only_butler, someone_killed_agatha, someone_in_mansion, noone_hates_everyone
% 9.84/3.74 % No. of inferences in proof: 68
% 9.84/3.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3195 ms resp. 2370 ms w/o parsing
% 9.84/3.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.84/3.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------