TSTP Solution File: PUZ029-1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 7 10:46:59 EDT 2024
% Result : Unsatisfiable 4.01s 1.91s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of formulae : 90 ( 16 unt; 14 typ; 0 def)
% Number of atoms : 203 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 390 ( 103 ~; 105 |; 0 &; 182 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 ^ 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(balloonist_type,type,
balloonist: $i > $o ).
thf(piggy_type,type,
piggy: $i ).
thf(dances_on_tightropes_type,type,
dances_on_tightropes: $i > $o ).
thf(eats_pennybuns_type,type,
eats_pennybuns: $i > $o ).
thf(old_type,type,
old: $i > $o ).
thf(pig_type,type,
pig: $i > $o ).
thf(liable_to_giddiness_type,type,
liable_to_giddiness: $i > $o ).
thf(treated_with_respect_type,type,
treated_with_respect: $i > $o ).
thf(wise_type,type,
wise: $i > $o ).
thf(has_umbrella_type,type,
has_umbrella: $i > $o ).
thf(looks_ridiculous_type,type,
looks_ridiculous: $i > $o ).
thf(eats_lunch_in_public_type,type,
eats_lunch_in_public: $i > $o ).
thf(young_type,type,
young: $i > $o ).
thf(fat_type,type,
fat: $i > $o ).
thf(15,axiom,
pig @ piggy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',piggy_is_a_pig) ).
thf(41,plain,
pig @ piggy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( pig @ A )
| ~ ( has_umbrella @ A )
| ( looks_ridiculous @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).
thf(31,plain,
! [A: $i] :
( ~ ( pig @ A )
| ~ ( has_umbrella @ A )
| ( looks_ridiculous @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(32,plain,
! [A: $i] :
( ~ ( pig @ A )
| ~ ( has_umbrella @ A )
| ( looks_ridiculous @ A ) ),
inference(cnf,[status(esa)],[31]) ).
thf(118,plain,
! [A: $i] :
( ~ ( has_umbrella @ A )
| ( looks_ridiculous @ A )
| ( ( pig @ piggy )
!= ( pig @ A ) ) ),
inference(paramod_ordered,[status(thm)],[41,32]) ).
thf(119,plain,
( ~ ( has_umbrella @ piggy )
| ( looks_ridiculous @ piggy ) ),
inference(pattern_uni,[status(thm)],[118:[bind(A,$thf( piggy ))]]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( pig @ A )
| ~ ( liable_to_giddiness @ A )
| ( treated_with_respect @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',giddy_pigs_reated_with_respect) ).
thf(19,plain,
! [A: $i] :
( ~ ( pig @ A )
| ~ ( liable_to_giddiness @ A )
| ( treated_with_respect @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,plain,
! [A: $i] :
( ~ ( pig @ A )
| ~ ( liable_to_giddiness @ A )
| ( treated_with_respect @ A ) ),
inference(cnf,[status(esa)],[19]) ).
thf(50,plain,
! [A: $i] :
( ~ ( liable_to_giddiness @ A )
| ( treated_with_respect @ A )
| ( ( pig @ piggy )
!= ( pig @ A ) ) ),
inference(paramod_ordered,[status(thm)],[41,20]) ).
thf(51,plain,
( ~ ( liable_to_giddiness @ piggy )
| ( treated_with_respect @ piggy ) ),
inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( piggy ))]]) ).
thf(1,negated_conjecture,
balloonist @ piggy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_piggy_is_no_balloonist) ).
thf(16,plain,
balloonist @ piggy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( balloonist @ A )
| ~ ( young @ A )
| ( liable_to_giddiness @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',young_balloonists_get_giddy) ).
thf(25,plain,
! [A: $i] :
( ~ ( balloonist @ A )
| ~ ( young @ A )
| ( liable_to_giddiness @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,plain,
! [A: $i] :
( ~ ( balloonist @ A )
| ~ ( young @ A )
| ( liable_to_giddiness @ A ) ),
inference(cnf,[status(esa)],[25]) ).
thf(68,plain,
! [A: $i] :
( ~ ( young @ A )
| ( liable_to_giddiness @ A )
| ( ( balloonist @ piggy )
!= ( balloonist @ A ) ) ),
inference(paramod_ordered,[status(thm)],[16,26]) ).
thf(69,plain,
( ~ ( young @ piggy )
| ( liable_to_giddiness @ piggy ) ),
inference(pattern_uni,[status(thm)],[68:[bind(A,$thf( piggy ))]]) ).
thf(14,axiom,
young @ piggy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',piggy_is_young) ).
thf(40,plain,
young @ piggy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(74,plain,
( ~ $true
| ( liable_to_giddiness @ piggy ) ),
inference(rewrite,[status(thm)],[69,40]) ).
thf(75,plain,
liable_to_giddiness @ piggy,
inference(simp,[status(thm)],[74]) ).
thf(78,plain,
( ~ $true
| ( treated_with_respect @ piggy ) ),
inference(rewrite,[status(thm)],[51,75]) ).
thf(79,plain,
treated_with_respect @ piggy,
inference(simp,[status(thm)],[78]) ).
thf(10,axiom,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ~ ( treated_with_respect @ A )
| ( fat @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_dancers_who_are_respected_are_fat) ).
thf(33,plain,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ~ ( treated_with_respect @ A )
| ( fat @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,plain,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ~ ( treated_with_respect @ A )
| ( fat @ A ) ),
inference(cnf,[status(esa)],[33]) ).
thf(88,plain,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ( fat @ A )
| ( ( treated_with_respect @ piggy )
!= ( treated_with_respect @ A ) ) ),
inference(paramod_ordered,[status(thm)],[79,34]) ).
thf(89,plain,
( ( dances_on_tightropes @ piggy )
| ( fat @ piggy ) ),
inference(pattern_uni,[status(thm)],[88:[bind(A,$thf( piggy ))]]) ).
thf(13,axiom,
wise @ piggy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',piggy_is_wise) ).
thf(39,plain,
wise @ piggy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( liable_to_giddiness @ A )
| ~ ( wise @ A )
| ~ ( dances_on_tightropes @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).
thf(29,plain,
! [A: $i] :
( ~ ( liable_to_giddiness @ A )
| ~ ( wise @ A )
| ~ ( dances_on_tightropes @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(30,plain,
! [A: $i] :
( ~ ( liable_to_giddiness @ A )
| ~ ( wise @ A )
| ~ ( dances_on_tightropes @ A ) ),
inference(cnf,[status(esa)],[29]) ).
thf(62,plain,
! [A: $i] :
( ~ ( liable_to_giddiness @ A )
| ~ ( dances_on_tightropes @ A )
| ( ( wise @ piggy )
!= ( wise @ A ) ) ),
inference(paramod_ordered,[status(thm)],[39,30]) ).
thf(63,plain,
( ~ ( liable_to_giddiness @ piggy )
| ~ ( dances_on_tightropes @ piggy ) ),
inference(pattern_uni,[status(thm)],[62:[bind(A,$thf( piggy ))]]) ).
thf(76,plain,
( ~ $true
| ~ ( dances_on_tightropes @ piggy ) ),
inference(rewrite,[status(thm)],[63,75]) ).
thf(77,plain,
~ ( dances_on_tightropes @ piggy ),
inference(simp,[status(thm)],[76]) ).
thf(94,plain,
( $false
| ( fat @ piggy ) ),
inference(rewrite,[status(thm)],[89,77]) ).
thf(95,plain,
fat @ piggy,
inference(simp,[status(thm)],[94]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( fat @ A )
| ~ ( looks_ridiculous @ A )
| ( dances_on_tightropes @ A )
| ( eats_lunch_in_public @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).
thf(27,plain,
! [A: $i] :
( ~ ( fat @ A )
| ~ ( looks_ridiculous @ A )
| ( dances_on_tightropes @ A )
| ( eats_lunch_in_public @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(28,plain,
! [A: $i] :
( ~ ( fat @ A )
| ~ ( looks_ridiculous @ A )
| ( dances_on_tightropes @ A )
| ( eats_lunch_in_public @ A ) ),
inference(cnf,[status(esa)],[27]) ).
thf(102,plain,
! [A: $i] :
( ~ ( looks_ridiculous @ A )
| ( dances_on_tightropes @ A )
| ( eats_lunch_in_public @ A )
| ( ( fat @ piggy )
!= ( fat @ A ) ) ),
inference(paramod_ordered,[status(thm)],[95,28]) ).
thf(103,plain,
( ~ ( looks_ridiculous @ piggy )
| ( dances_on_tightropes @ piggy )
| ( eats_lunch_in_public @ piggy ) ),
inference(pattern_uni,[status(thm)],[102:[bind(A,$thf( piggy ))]]) ).
thf(107,plain,
( ~ ( looks_ridiculous @ piggy )
| $false
| ( eats_lunch_in_public @ piggy ) ),
inference(rewrite,[status(thm)],[103,77]) ).
thf(108,plain,
( ~ ( looks_ridiculous @ piggy )
| ( eats_lunch_in_public @ piggy ) ),
inference(simp,[status(thm)],[107]) ).
thf(2,axiom,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ( eats_pennybuns @ A )
| ( old @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boring_old_people) ).
thf(17,plain,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ( eats_pennybuns @ A )
| ( old @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ( eats_pennybuns @ A )
| ( old @ A ) ),
inference(cnf,[status(esa)],[17]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( young @ A )
| ~ ( old @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_young_and_old) ).
thf(37,plain,
! [A: $i] :
( ~ ( young @ A )
| ~ ( old @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(38,plain,
! [A: $i] :
( ~ ( young @ A )
| ~ ( old @ A ) ),
inference(cnf,[status(esa)],[37]) ).
thf(42,plain,
! [A: $i] :
( ~ ( old @ A )
| ( ( young @ piggy )
!= ( young @ A ) ) ),
inference(paramod_ordered,[status(thm)],[40,38]) ).
thf(43,plain,
~ ( old @ piggy ),
inference(pattern_uni,[status(thm)],[42:[bind(A,$thf( piggy ))]]) ).
thf(48,plain,
! [A: $i] :
( ( dances_on_tightropes @ A )
| ( eats_pennybuns @ A )
| ( ( old @ A )
!= ( old @ piggy ) ) ),
inference(paramod_ordered,[status(thm)],[18,43]) ).
thf(49,plain,
( ( dances_on_tightropes @ piggy )
| ( eats_pennybuns @ piggy ) ),
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( piggy ))]]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( looks_ridiculous @ A )
| ~ ( eats_pennybuns @ A )
| ~ ( eats_lunch_in_public @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).
thf(23,plain,
! [A: $i] :
( ~ ( looks_ridiculous @ A )
| ~ ( eats_pennybuns @ A )
| ~ ( eats_lunch_in_public @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,plain,
! [A: $i] :
( ~ ( looks_ridiculous @ A )
| ~ ( eats_pennybuns @ A )
| ~ ( eats_lunch_in_public @ A ) ),
inference(cnf,[status(esa)],[23]) ).
thf(60,plain,
! [A: $i] :
( ( dances_on_tightropes @ piggy )
| ~ ( looks_ridiculous @ A )
| ~ ( eats_lunch_in_public @ A )
| ( ( eats_pennybuns @ piggy )
!= ( eats_pennybuns @ A ) ) ),
inference(paramod_ordered,[status(thm)],[49,24]) ).
thf(61,plain,
( ( dances_on_tightropes @ piggy )
| ~ ( looks_ridiculous @ piggy )
| ~ ( eats_lunch_in_public @ piggy ) ),
inference(pattern_uni,[status(thm)],[60:[bind(A,$thf( piggy ))]]) ).
thf(84,plain,
( $false
| ~ ( looks_ridiculous @ piggy )
| ~ ( eats_lunch_in_public @ piggy ) ),
inference(rewrite,[status(thm)],[61,77]) ).
thf(85,plain,
( ~ ( looks_ridiculous @ piggy )
| ~ ( eats_lunch_in_public @ piggy ) ),
inference(simp,[status(thm)],[84]) ).
thf(111,plain,
( ~ ( looks_ridiculous @ piggy )
| ( ( eats_lunch_in_public @ piggy )
!= ( eats_lunch_in_public @ piggy ) ) ),
inference(paramod_ordered,[status(thm)],[108,85]) ).
thf(112,plain,
~ ( looks_ridiculous @ piggy ),
inference(pattern_uni,[status(thm)],[111:[]]) ).
thf(4,axiom,
! [A: $i] :
( ~ ( wise @ A )
| ~ ( balloonist @ A )
| ( has_umbrella @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wise_ballonists_have_umbrellas) ).
thf(21,plain,
! [A: $i] :
( ~ ( wise @ A )
| ~ ( balloonist @ A )
| ( has_umbrella @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(22,plain,
! [A: $i] :
( ~ ( wise @ A )
| ~ ( balloonist @ A )
| ( has_umbrella @ A ) ),
inference(cnf,[status(esa)],[21]) ).
thf(52,plain,
! [A: $i] :
( ~ ( balloonist @ A )
| ( has_umbrella @ A )
| ( ( wise @ piggy )
!= ( wise @ A ) ) ),
inference(paramod_ordered,[status(thm)],[39,22]) ).
thf(53,plain,
( ~ ( balloonist @ piggy )
| ( has_umbrella @ piggy ) ),
inference(pattern_uni,[status(thm)],[52:[bind(A,$thf( piggy ))]]) ).
thf(56,plain,
( ~ $true
| ( has_umbrella @ piggy ) ),
inference(rewrite,[status(thm)],[53,16]) ).
thf(57,plain,
has_umbrella @ piggy,
inference(simp,[status(thm)],[56]) ).
thf(132,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[119,112,57]) ).
thf(133,plain,
$false,
inference(simp,[status(thm)],[132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 21:17:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.86/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.98 % [INFO] Parsing done (118ms).
% 1.16/0.99 % [INFO] Running in sequential loop mode.
% 1.70/1.19 % [INFO] nitpick registered as external prover.
% 1.75/1.20 % [INFO] Scanning for conjecture ...
% 1.85/1.24 % [INFO] Found a conjecture and 14 axioms. Running axiom selection ...
% 1.85/1.26 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.85/1.27 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.27 % [INFO] Type checking passed.
% 1.85/1.28 % [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 ...
% 4.01/1.90 % [INFO] Killing All external provers ...
% 4.01/1.91 % Time passed: 1373ms (effective reasoning time: 916ms)
% 4.01/1.91 % 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)>
% 4.01/1.91 % Axioms used in derivation (13): piggy_is_young, not_young_and_old, pigs_look_ridiculous_with_umbrellas, dont_look_ridiculous_eating_buns_in_public, piggy_is_a_pig, wise_ballonists_have_umbrellas, non_dancers_who_are_respected_are_fat, piggy_is_wise, fat_ridiculous_off_tightrope_eat_in_public, boring_old_people, young_balloonists_get_giddy, wise_giddy_dont_dance_on_tightrope, giddy_pigs_reated_with_respect
% 4.01/1.91 % No. of inferences in proof: 76
% 4.01/1.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1373 ms resp. 916 ms w/o parsing
% 4.01/1.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.01/1.96 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------