TSTP Solution File: PUZ019-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 11:47:26 EDT 2023
% Result : Unsatisfiable 3.64s 1.98s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 83
% Syntax : Number of formulae : 148 ( 89 unt; 19 typ; 0 def)
% Number of atoms : 211 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 606 ( 138 ~; 82 |; 0 &; 386 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 80 ( 0 ^; 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(has_job_type,type,
has_job: $i > $i > $o ).
thf(chef_type,type,
chef: $i ).
thf(guard_type,type,
guard: $i ).
thf(nurse_type,type,
nurse: $i ).
thf(operator_type,type,
operator: $i ).
thf(police_type,type,
police: $i ).
thf(teacher_type,type,
teacher: $i ).
thf(actor_type,type,
actor: $i ).
thf(boxer_type,type,
boxer: $i ).
thf(equal_jobs_type,type,
equal_jobs: $i > $i > $o ).
thf(equal_people_type,type,
equal_people: $i > $i > $o ).
thf(roberta_type,type,
roberta: $i ).
thf(steve_type,type,
steve: $i ).
thf(husband_type,type,
husband: $i > $i > $o ).
thf(male_type,type,
male: $i > $o ).
thf(female_type,type,
female: $i > $o ).
thf(pete_type,type,
pete: $i ).
thf(educated_type,type,
educated: $i > $o ).
thf(thelma_type,type,
thelma: $i ).
thf(29,axiom,
~ ( equal_jobs @ chef @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_teacher) ).
thf(115,plain,
~ ( equal_jobs @ chef @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(48,axiom,
! [A: $i] :
( ~ ( has_job @ A @ chef )
| ( female @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_is_female) ).
thf(153,plain,
! [A: $i] :
( ~ ( has_job @ A @ chef )
| ( female @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(64,axiom,
! [A: $i] :
( ~ ( has_job @ A @ nurse )
| ( educated @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_is_educated) ).
thf(185,plain,
! [A: $i] :
( ~ ( has_job @ A @ nurse )
| ( educated @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(8,axiom,
male @ pete,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_is_male) ).
thf(78,plain,
male @ pete,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(30,axiom,
~ ( equal_jobs @ operator @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_teacher) ).
thf(117,plain,
~ ( equal_jobs @ operator @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(26,axiom,
~ ( equal_jobs @ nurse @ actor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_actor) ).
thf(109,plain,
~ ( equal_jobs @ nurse @ actor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(19,axiom,
~ ( equal_people @ pete @ steve ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_not_steve) ).
thf(95,plain,
~ ( equal_people @ pete @ steve ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(21,axiom,
! [A: $i] :
( ~ ( has_job @ A @ nurse )
| ( male @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_is_male) ).
thf(99,plain,
! [A: $i] :
( ~ ( has_job @ A @ nurse )
| ( male @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(3,axiom,
~ ( equal_people @ roberta @ steve ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_not_steve) ).
thf(69,plain,
~ ( equal_people @ roberta @ steve ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,axiom,
~ ( equal_jobs @ police @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_teacher) ).
thf(101,plain,
~ ( equal_jobs @ police @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(15,axiom,
~ ( equal_people @ thelma @ steve ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thelma_not_steve) ).
thf(88,plain,
~ ( equal_people @ thelma @ steve ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ~ ( has_job @ A @ chef )
| ~ ( has_job @ B @ operator )
| ( husband @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_of_chef_is_operator1) ).
thf(125,plain,
! [B: $i,A: $i] :
( ~ ( has_job @ A @ chef )
| ~ ( has_job @ B @ operator )
| ( husband @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(50,axiom,
~ ( equal_jobs @ nurse @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_teacher) ).
thf(157,plain,
~ ( equal_jobs @ nurse @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(61,axiom,
! [A: $i] :
( ( has_job @ roberta @ A )
| ( has_job @ thelma @ A )
| ( has_job @ pete @ A )
| ( has_job @ steve @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_job_is_used) ).
thf(179,plain,
! [A: $i] :
( ( has_job @ roberta @ A )
| ( has_job @ thelma @ A )
| ( has_job @ pete @ A )
| ( has_job @ steve @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(32,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( has_job @ A @ B )
| ~ ( has_job @ A @ C )
| ~ ( has_job @ A @ D )
| ( equal_jobs @ B @ C )
| ( equal_jobs @ B @ D )
| ( equal_jobs @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_has_maximum_of_two_jobs) ).
thf(121,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( has_job @ A @ B )
| ~ ( has_job @ A @ C )
| ~ ( has_job @ A @ D )
| ( equal_jobs @ B @ C )
| ( equal_jobs @ B @ D )
| ( equal_jobs @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(13,axiom,
~ ( equal_people @ pete @ thelma ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_not_thelma) ).
thf(84,plain,
~ ( equal_people @ pete @ thelma ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(45,axiom,
~ ( equal_jobs @ boxer @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxer_not_teacher) ).
thf(147,plain,
~ ( equal_jobs @ boxer @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(38,axiom,
~ ( equal_jobs @ actor @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_not_teacher) ).
thf(133,plain,
~ ( equal_jobs @ actor @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(40,axiom,
~ ( equal_jobs @ chef @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_boxer) ).
thf(137,plain,
~ ( equal_jobs @ chef @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(54,axiom,
~ ( equal_jobs @ operator @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_boxer) ).
thf(165,plain,
~ ( equal_jobs @ operator @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(17,axiom,
~ ( equal_people @ roberta @ pete ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_not_pete) ).
thf(92,plain,
~ ( equal_people @ roberta @ pete ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( has_job @ A @ chef )
| ~ ( has_job @ B @ guard )
| ~ ( has_job @ C @ nurse )
| ~ ( has_job @ D @ operator )
| ~ ( has_job @ E @ police )
| ~ ( has_job @ F @ teacher )
| ~ ( has_job @ G @ actor )
| ~ ( has_job @ H @ boxer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_who_has_each_job) ).
thf(65,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( has_job @ A @ chef )
| ~ ( has_job @ B @ guard )
| ~ ( has_job @ C @ nurse )
| ~ ( has_job @ D @ operator )
| ~ ( has_job @ E @ police )
| ~ ( has_job @ F @ teacher )
| ~ ( has_job @ G @ actor )
| ~ ( has_job @ H @ boxer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,axiom,
! [A: $i] :
( ( male @ A )
| ( female @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_male_or_female) ).
thf(97,plain,
! [A: $i] :
( ( male @ A )
| ( female @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(56,axiom,
! [A: $i] :
( ~ ( has_job @ A @ chef )
| ~ ( has_job @ A @ police ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_is_not_also_police) ).
thf(169,plain,
! [A: $i] :
( ~ ( has_job @ A @ chef )
| ~ ( has_job @ A @ police ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(42,axiom,
~ ( equal_jobs @ nurse @ police ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_police) ).
thf(141,plain,
~ ( equal_jobs @ nurse @ police ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(58,axiom,
~ ( has_job @ roberta @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_boxer) ).
thf(173,plain,
~ ( has_job @ roberta @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(36,axiom,
! [B: $i,A: $i] :
( ~ ( has_job @ A @ chef )
| ( has_job @ B @ operator )
| ~ ( husband @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_of_chef_is_operator2) ).
thf(129,plain,
! [B: $i,A: $i] :
( ~ ( has_job @ A @ chef )
| ( has_job @ B @ operator )
| ~ ( husband @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( husband @ A @ B )
| ( male @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_is_male) ).
thf(73,plain,
! [B: $i,A: $i] :
( ~ ( husband @ A @ B )
| ( male @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,axiom,
~ ( equal_jobs @ operator @ police ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_police) ).
thf(105,plain,
~ ( equal_jobs @ operator @ police ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(52,axiom,
~ ( equal_jobs @ chef @ actor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_actor) ).
thf(161,plain,
~ ( equal_jobs @ chef @ actor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(46,axiom,
~ ( equal_jobs @ guard @ teacher ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_teacher) ).
thf(149,plain,
~ ( equal_jobs @ guard @ teacher ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( equal_people @ A @ B )
| ( equal_people @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equal_people) ).
thf(71,plain,
! [B: $i,A: $i] :
( ~ ( equal_people @ A @ B )
| ( equal_people @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(62,axiom,
! [A: $i] :
( ( has_job @ A @ chef )
| ( has_job @ A @ guard )
| ( has_job @ A @ nurse )
| ( has_job @ A @ operator )
| ( has_job @ A @ police )
| ( has_job @ A @ teacher )
| ( has_job @ A @ actor )
| ( has_job @ A @ boxer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_works) ).
thf(181,plain,
! [A: $i] :
( ( has_job @ A @ chef )
| ( has_job @ A @ guard )
| ( has_job @ A @ nurse )
| ( has_job @ A @ operator )
| ( has_job @ A @ police )
| ( has_job @ A @ teacher )
| ( has_job @ A @ actor )
| ( has_job @ A @ boxer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ~ ( husband @ A @ B )
| ( female @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wife_is_female) ).
thf(86,plain,
! [B: $i,A: $i] :
( ~ ( husband @ A @ B )
| ( female @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(51,axiom,
~ ( equal_jobs @ guard @ police ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_police) ).
thf(159,plain,
~ ( equal_jobs @ guard @ police ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(28,axiom,
~ ( equal_jobs @ operator @ actor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_actor) ).
thf(113,plain,
~ ( equal_jobs @ operator @ actor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( male @ A )
| ~ ( female @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',males_are_not_female) ).
thf(76,plain,
! [A: $i] :
( ~ ( male @ A )
| ~ ( female @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,axiom,
~ ( equal_jobs @ police @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_boxer) ).
thf(103,plain,
~ ( equal_jobs @ police @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(49,axiom,
~ ( equal_jobs @ guard @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_boxer) ).
thf(155,plain,
~ ( equal_jobs @ guard @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(39,axiom,
~ ( has_job @ roberta @ police ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_police) ).
thf(135,plain,
~ ( has_job @ roberta @ police ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(10,axiom,
~ ( educated @ pete ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_is_not_educated) ).
thf(80,plain,
~ ( educated @ pete ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,axiom,
~ ( equal_jobs @ nurse @ operator ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_operator) ).
thf(167,plain,
~ ( equal_jobs @ nurse @ operator ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(33,axiom,
~ ( equal_jobs @ guard @ actor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_actor) ).
thf(123,plain,
~ ( equal_jobs @ guard @ actor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(44,axiom,
~ ( equal_jobs @ chef @ operator ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_operator) ).
thf(145,plain,
~ ( equal_jobs @ chef @ operator ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( equal_jobs @ A @ B )
| ( equal_jobs @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equal_jobs) ).
thf(67,plain,
! [B: $i,A: $i] :
( ~ ( equal_jobs @ A @ B )
| ( equal_jobs @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(60,axiom,
~ ( equal_jobs @ chef @ guard ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_guard) ).
thf(177,plain,
~ ( equal_jobs @ chef @ guard ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(35,axiom,
! [A: $i] :
( ~ ( has_job @ A @ police )
| ( educated @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_is_educated) ).
thf(127,plain,
! [A: $i] :
( ~ ( has_job @ A @ police )
| ( educated @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(59,axiom,
~ ( equal_jobs @ actor @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_not_boxer) ).
thf(175,plain,
~ ( equal_jobs @ actor @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(43,axiom,
~ ( equal_jobs @ chef @ police ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_police) ).
thf(143,plain,
~ ( equal_jobs @ chef @ police ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(57,axiom,
~ ( equal_jobs @ nurse @ boxer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_boxer) ).
thf(171,plain,
~ ( equal_jobs @ nurse @ boxer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(41,axiom,
~ ( has_job @ roberta @ chef ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_chef) ).
thf(139,plain,
~ ( has_job @ roberta @ chef ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(6,axiom,
female @ roberta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_female) ).
thf(75,plain,
female @ roberta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(31,axiom,
~ ( equal_jobs @ guard @ nurse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_nurse) ).
thf(119,plain,
~ ( equal_jobs @ guard @ nurse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(11,axiom,
male @ steve,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',steve_is_male) ).
thf(82,plain,
male @ steve,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(47,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( has_job @ A @ B )
| ~ ( has_job @ C @ B )
| ( equal_people @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_job_held_once) ).
thf(151,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( has_job @ A @ B )
| ~ ( has_job @ C @ B )
| ( equal_people @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(63,axiom,
! [A: $i] :
( ~ ( has_job @ A @ teacher )
| ( educated @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teacher_is_educated) ).
thf(183,plain,
! [A: $i] :
( ~ ( has_job @ A @ teacher )
| ( educated @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(25,axiom,
~ ( equal_jobs @ chef @ nurse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_nurse) ).
thf(107,plain,
~ ( equal_jobs @ chef @ nurse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,axiom,
! [A: $i] : ( equal_jobs @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equal_jobs) ).
thf(79,plain,
! [A: $i] : ( equal_jobs @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(18,axiom,
! [A: $i] : ( equal_people @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equal_people) ).
thf(94,plain,
! [A: $i] : ( equal_people @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(37,axiom,
! [A: $i] :
( ~ ( has_job @ A @ actor )
| ( male @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_is_male) ).
thf(131,plain,
! [A: $i] :
( ~ ( has_job @ A @ actor )
| ( male @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(53,axiom,
~ ( equal_jobs @ guard @ operator ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_operator) ).
thf(163,plain,
~ ( equal_jobs @ guard @ operator ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(12,axiom,
female @ thelma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thelma_is_female) ).
thf(83,plain,
female @ thelma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
~ ( equal_people @ roberta @ thelma ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_not_thelma) ).
thf(90,plain,
~ ( equal_people @ roberta @ thelma ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,axiom,
~ ( equal_jobs @ police @ actor ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_actor) ).
thf(111,plain,
~ ( equal_jobs @ police @ actor ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(187,plain,
$false,
inference(e,[status(thm)],[115,153,185,78,117,109,95,99,69,101,88,125,157,179,121,84,147,133,137,165,92,65,97,169,141,173,129,73,105,161,149,71,181,86,159,113,76,103,155,135,80,167,123,145,67,177,127,175,143,171,139,75,119,82,151,183,107,79,94,131,163,83,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 19:57:33 EDT 2023
% 0.15/0.37 % CPUTime :
% 1.04/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.07 % [INFO] Parsing done (168ms).
% 1.30/1.08 % [INFO] Running in sequential loop mode.
% 1.82/1.31 % [INFO] eprover registered as external prover.
% 1.82/1.31 % [INFO] cvc4 registered as external prover.
% 2.01/1.32 % [INFO] Scanning for conjecture ...
% 2.21/1.41 % [INFO] Found a conjecture and 63 axioms. Running axiom selection ...
% 2.46/1.47 % [INFO] Axiom selection finished. Selected 63 axioms (removed 0 axioms).
% 2.47/1.50 % [INFO] Problem is propositional (TPTP CNF).
% 2.47/1.50 % [INFO] Type checking passed.
% 2.56/1.51 % [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 ...
% 3.64/1.98 % External prover 'e' found a proof!
% 3.64/1.98 % [INFO] Killing All external provers ...
% 3.64/1.98 % Time passed: 1452ms (effective reasoning time: 894ms)
% 3.64/1.98 % 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)>
% 3.64/1.98 % Axioms used in derivation (63): husband_is_male, nurse_not_boxer, operator_not_boxer, nurse_not_operator, roberta_is_not_police, actor_not_teacher, wife_is_female, symmetry_of_equal_jobs, everyone_works, every_job_is_used, guard_not_boxer, chef_is_female, guard_not_nurse, roberta_not_pete, actor_not_boxer, teacher_is_educated, roberta_not_steve, roberta_is_not_boxer, boxer_not_teacher, nurse_not_teacher, chef_not_teacher, thelma_not_steve, chef_not_police, roberta_not_thelma, reflexivity_for_equal_jobs, roberta_is_female, husband_of_chef_is_operator1, guard_not_teacher, pete_not_steve, police_not_teacher, symmetry_of_equal_people, nurse_is_educated, each_has_maximum_of_two_jobs, pete_is_not_educated, chef_not_operator, actor_is_male, each_job_held_once, husband_of_chef_is_operator2, guard_not_police, operator_not_actor, males_are_not_female, chef_not_guard, nurse_not_police, steve_is_male, guard_not_actor, chef_is_not_also_police, police_not_actor, pete_is_male, chef_not_boxer, operator_not_teacher, nurse_is_male, chef_not_actor, police_is_educated, operator_not_police, everyone_male_or_female, chef_not_nurse, pete_not_thelma, guard_not_operator, police_not_boxer, nurse_not_actor, roberta_is_not_chef, thelma_is_female, reflexivity_for_equal_people
% 3.64/1.98 % No. of inferences in proof: 129
% 3.64/1.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1452 ms resp. 894 ms w/o parsing
% 3.96/2.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.96/2.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------