TSTP Solution File: PUZ019-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ019-1 : TPTP v8.1.0. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 : 600s
% DateTime : Mon Jul 18 18:19:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 84
% Syntax : Number of formulae : 376 ( 257 unt; 19 typ; 0 def)
% Number of atoms : 1821 ( 475 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 2563 ( 416 ~; 514 |; 0 &;1633 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 493 ( 0 ^ 493 !; 0 ?; 493 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_actor,type,
actor: $i ).
thf(tp_boxer,type,
boxer: $i ).
thf(tp_chef,type,
chef: $i ).
thf(tp_educated,type,
educated: $i > $o ).
thf(tp_equal_jobs,type,
equal_jobs: $i > $i > $o ).
thf(tp_equal_people,type,
equal_people: $i > $i > $o ).
thf(tp_female,type,
female: $i > $o ).
thf(tp_guard,type,
guard: $i ).
thf(tp_has_job,type,
has_job: $i > $i > $o ).
thf(tp_husband,type,
husband: $i > $i > $o ).
thf(tp_male,type,
male: $i > $o ).
thf(tp_nurse,type,
nurse: $i ).
thf(tp_operator,type,
operator: $i ).
thf(tp_pete,type,
pete: $i ).
thf(tp_police,type,
police: $i ).
thf(tp_roberta,type,
roberta: $i ).
thf(tp_steve,type,
steve: $i ).
thf(tp_teacher,type,
teacher: $i ).
thf(tp_thelma,type,
thelma: $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ~ ( husband @ X @ Y )
| ( female @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wife_is_female) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ~ ( husband @ X @ Y )
| ( male @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband_is_male) ).
thf(3,axiom,
! [X: $i] :
( ( male @ X )
| ( female @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_male_or_female) ).
thf(4,axiom,
! [X: $i] :
( ~ ( male @ X )
| ~ ( female @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',males_are_not_female) ).
thf(5,axiom,
! [X: $i] :
( ~ ( has_job @ X @ chef )
| ~ ( has_job @ X @ police ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_is_not_also_police) ).
thf(6,axiom,
! [X: $i] :
( ~ ( has_job @ X @ police )
| ( educated @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',police_is_educated) ).
thf(7,axiom,
! [X: $i] :
( ~ ( has_job @ X @ teacher )
| ( educated @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',teacher_is_educated) ).
thf(8,axiom,
! [X: $i] :
( ~ ( has_job @ X @ nurse )
| ( educated @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_is_educated) ).
thf(9,axiom,
! [X: $i] :
( ~ ( has_job @ X @ chef )
| ( female @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_is_female) ).
thf(10,axiom,
! [X: $i] :
( ~ ( has_job @ X @ actor )
| ( male @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',actor_is_male) ).
thf(11,axiom,
! [X: $i] :
( ~ ( has_job @ X @ nurse )
| ( male @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_is_male) ).
thf(12,axiom,
~ ( equal_jobs @ boxer @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxer_not_teacher) ).
thf(13,axiom,
~ ( equal_jobs @ actor @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',actor_not_teacher) ).
thf(14,axiom,
~ ( equal_jobs @ actor @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',actor_not_boxer) ).
thf(15,axiom,
~ ( equal_jobs @ police @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',police_not_teacher) ).
thf(16,axiom,
~ ( equal_jobs @ police @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',police_not_boxer) ).
thf(17,axiom,
~ ( equal_jobs @ police @ actor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',police_not_actor) ).
thf(18,axiom,
~ ( equal_jobs @ operator @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',operator_not_teacher) ).
thf(19,axiom,
~ ( equal_jobs @ operator @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',operator_not_boxer) ).
thf(20,axiom,
~ ( equal_jobs @ operator @ actor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',operator_not_actor) ).
thf(21,axiom,
~ ( equal_jobs @ operator @ police ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',operator_not_police) ).
thf(22,axiom,
~ ( equal_jobs @ nurse @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_not_teacher) ).
thf(23,axiom,
~ ( equal_jobs @ nurse @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_not_boxer) ).
thf(24,axiom,
~ ( equal_jobs @ nurse @ actor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_not_actor) ).
thf(25,axiom,
~ ( equal_jobs @ nurse @ police ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_not_police) ).
thf(26,axiom,
~ ( equal_jobs @ nurse @ operator ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nurse_not_operator) ).
thf(27,axiom,
~ ( equal_jobs @ guard @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guard_not_teacher) ).
thf(28,axiom,
~ ( equal_jobs @ guard @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guard_not_boxer) ).
thf(29,axiom,
~ ( equal_jobs @ guard @ actor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guard_not_actor) ).
thf(30,axiom,
~ ( equal_jobs @ guard @ police ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guard_not_police) ).
thf(31,axiom,
~ ( equal_jobs @ guard @ operator ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guard_not_operator) ).
thf(32,axiom,
~ ( equal_jobs @ guard @ nurse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guard_not_nurse) ).
thf(33,axiom,
~ ( equal_jobs @ chef @ teacher ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_teacher) ).
thf(34,axiom,
~ ( equal_jobs @ chef @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_boxer) ).
thf(35,axiom,
~ ( equal_jobs @ chef @ actor ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_actor) ).
thf(36,axiom,
~ ( equal_jobs @ chef @ police ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_police) ).
thf(37,axiom,
~ ( equal_jobs @ chef @ operator ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_operator) ).
thf(38,axiom,
~ ( equal_jobs @ chef @ nurse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_nurse) ).
thf(39,axiom,
~ ( equal_jobs @ chef @ guard ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',chef_not_guard) ).
thf(40,axiom,
~ ( equal_people @ thelma @ steve ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thelma_not_steve) ).
thf(41,axiom,
~ ( equal_people @ pete @ steve ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pete_not_steve) ).
thf(42,axiom,
~ ( equal_people @ pete @ thelma ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pete_not_thelma) ).
thf(43,axiom,
~ ( equal_people @ roberta @ steve ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_not_steve) ).
thf(44,axiom,
~ ( equal_people @ roberta @ pete ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_not_pete) ).
thf(45,axiom,
~ ( equal_people @ roberta @ thelma ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_not_thelma) ).
thf(46,axiom,
! [X: $i,Y: $i] :
( ~ ( equal_jobs @ X @ Y )
| ( equal_jobs @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equal_jobs) ).
thf(47,axiom,
! [X: $i,Y: $i] :
( ~ ( equal_people @ X @ Y )
| ( equal_people @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equal_people) ).
thf(48,axiom,
! [X: $i] : ( equal_jobs @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equal_jobs) ).
thf(49,axiom,
! [X: $i] : ( equal_people @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equal_people) ).
thf(50,axiom,
female @ thelma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thelma_is_female) ).
thf(51,axiom,
female @ roberta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_female) ).
thf(52,axiom,
male @ pete,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pete_is_male) ).
thf(53,axiom,
male @ steve,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',steve_is_male) ).
thf(54,axiom,
~ ( has_job @ roberta @ police ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_not_police) ).
thf(55,axiom,
~ ( has_job @ roberta @ boxer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_not_boxer) ).
thf(56,axiom,
~ ( has_job @ roberta @ chef ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',roberta_is_not_chef) ).
thf(57,axiom,
~ ( educated @ pete ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pete_is_not_educated) ).
thf(58,axiom,
! [X: $i] :
( ( has_job @ X @ chef )
| ( has_job @ X @ guard )
| ( has_job @ X @ nurse )
| ( has_job @ X @ operator )
| ( has_job @ X @ police )
| ( has_job @ X @ teacher )
| ( has_job @ X @ actor )
| ( has_job @ X @ boxer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_works) ).
thf(59,axiom,
! [X: $i] :
( ( has_job @ roberta @ X )
| ( has_job @ thelma @ X )
| ( has_job @ pete @ X )
| ( has_job @ steve @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',every_job_is_used) ).
thf(60,axiom,
! [Z: $i,U: $i,X: $i,Y: $i] :
( ~ ( has_job @ Z @ U )
| ~ ( has_job @ Z @ X )
| ~ ( has_job @ Z @ Y )
| ( equal_jobs @ U @ X )
| ( equal_jobs @ U @ Y )
| ( equal_jobs @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_has_maximum_of_two_jobs) ).
thf(61,axiom,
! [X: $i,Z: $i,Y: $i] :
( ~ ( has_job @ X @ Z )
| ~ ( has_job @ Y @ Z )
| ( equal_people @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_job_held_once) ).
thf(62,axiom,
! [X: $i,Y: $i] :
( ~ ( has_job @ X @ chef )
| ( has_job @ Y @ operator )
| ~ ( husband @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband_of_chef_is_operator2) ).
thf(63,axiom,
! [X: $i,Y: $i] :
( ~ ( has_job @ X @ chef )
| ~ ( has_job @ Y @ operator )
| ( husband @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband_of_chef_is_operator1) ).
thf(64,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(65,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[64]) ).
thf(66,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( has_job @ X1 @ chef )
| ~ ( has_job @ X2 @ guard )
| ~ ( has_job @ X3 @ nurse )
| ~ ( has_job @ X4 @ operator )
| ~ ( has_job @ X5 @ police )
| ~ ( has_job @ X6 @ teacher )
| ~ ( has_job @ X7 @ actor )
| ~ ( has_job @ X8 @ boxer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',find_who_has_each_job) ).
thf(67,plain,
$false = $false,
inference(unfold_def,[status(thm)],[65]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( husband @ X @ Y )
| ( female @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( husband @ X @ Y )
| ( male @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(70,plain,
( ( ! [X: $i] :
( ( male @ X )
| ( female @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(71,plain,
( ( ! [X: $i] :
( ~ ( male @ X )
| ~ ( female @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(72,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ~ ( has_job @ X @ police ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(73,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ police )
| ( educated @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(74,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ teacher )
| ( educated @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(75,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ nurse )
| ( educated @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(76,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ( female @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(77,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ actor )
| ( male @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(78,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ nurse )
| ( male @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(79,plain,
( ( ~ ( equal_jobs @ boxer @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(80,plain,
( ( ~ ( equal_jobs @ actor @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(81,plain,
( ( ~ ( equal_jobs @ actor @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(82,plain,
( ( ~ ( equal_jobs @ police @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(83,plain,
( ( ~ ( equal_jobs @ police @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(84,plain,
( ( ~ ( equal_jobs @ police @ actor ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(85,plain,
( ( ~ ( equal_jobs @ operator @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(86,plain,
( ( ~ ( equal_jobs @ operator @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(87,plain,
( ( ~ ( equal_jobs @ operator @ actor ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(88,plain,
( ( ~ ( equal_jobs @ operator @ police ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(89,plain,
( ( ~ ( equal_jobs @ nurse @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(90,plain,
( ( ~ ( equal_jobs @ nurse @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(91,plain,
( ( ~ ( equal_jobs @ nurse @ actor ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(92,plain,
( ( ~ ( equal_jobs @ nurse @ police ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(93,plain,
( ( ~ ( equal_jobs @ nurse @ operator ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(94,plain,
( ( ~ ( equal_jobs @ guard @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(95,plain,
( ( ~ ( equal_jobs @ guard @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(96,plain,
( ( ~ ( equal_jobs @ guard @ actor ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(97,plain,
( ( ~ ( equal_jobs @ guard @ police ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(98,plain,
( ( ~ ( equal_jobs @ guard @ operator ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(99,plain,
( ( ~ ( equal_jobs @ guard @ nurse ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(100,plain,
( ( ~ ( equal_jobs @ chef @ teacher ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(101,plain,
( ( ~ ( equal_jobs @ chef @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(102,plain,
( ( ~ ( equal_jobs @ chef @ actor ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(103,plain,
( ( ~ ( equal_jobs @ chef @ police ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(104,plain,
( ( ~ ( equal_jobs @ chef @ operator ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(105,plain,
( ( ~ ( equal_jobs @ chef @ nurse ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(106,plain,
( ( ~ ( equal_jobs @ chef @ guard ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(107,plain,
( ( ~ ( equal_people @ thelma @ steve ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(108,plain,
( ( ~ ( equal_people @ pete @ steve ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(109,plain,
( ( ~ ( equal_people @ pete @ thelma ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(110,plain,
( ( ~ ( equal_people @ roberta @ steve ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(111,plain,
( ( ~ ( equal_people @ roberta @ pete ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(112,plain,
( ( ~ ( equal_people @ roberta @ thelma ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(113,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equal_jobs @ X @ Y )
| ( equal_jobs @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(114,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equal_people @ X @ Y )
| ( equal_people @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(115,plain,
( ( ! [X: $i] : ( equal_jobs @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(116,plain,
( ( ! [X: $i] : ( equal_people @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(117,plain,
( ( female @ thelma )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(118,plain,
( ( female @ roberta )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(119,plain,
( ( male @ pete )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(120,plain,
( ( male @ steve )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(121,plain,
( ( ~ ( has_job @ roberta @ police ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(122,plain,
( ( ~ ( has_job @ roberta @ boxer ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(123,plain,
( ( ~ ( has_job @ roberta @ chef ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(124,plain,
( ( ~ ( educated @ pete ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(125,plain,
( ( ! [X: $i] :
( ( has_job @ X @ chef )
| ( has_job @ X @ guard )
| ( has_job @ X @ nurse )
| ( has_job @ X @ operator )
| ( has_job @ X @ police )
| ( has_job @ X @ teacher )
| ( has_job @ X @ actor )
| ( has_job @ X @ boxer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(126,plain,
( ( ! [X: $i] :
( ( has_job @ roberta @ X )
| ( has_job @ thelma @ X )
| ( has_job @ pete @ X )
| ( has_job @ steve @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(127,plain,
( ( ! [Z: $i,U: $i,X: $i,Y: $i] :
( ~ ( has_job @ Z @ U )
| ~ ( has_job @ Z @ X )
| ~ ( has_job @ Z @ Y )
| ( equal_jobs @ U @ X )
| ( equal_jobs @ U @ Y )
| ( equal_jobs @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(128,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ~ ( has_job @ X @ Z )
| ~ ( has_job @ Y @ Z )
| ( equal_people @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(129,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( has_job @ X @ chef )
| ( has_job @ Y @ operator )
| ~ ( husband @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(130,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( has_job @ X @ chef )
| ~ ( has_job @ Y @ operator )
| ( husband @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(131,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( has_job @ X1 @ chef )
| ~ ( has_job @ X2 @ guard )
| ~ ( has_job @ X3 @ nurse )
| ~ ( has_job @ X4 @ operator )
| ~ ( has_job @ X5 @ police )
| ~ ( has_job @ X6 @ teacher )
| ~ ( has_job @ X7 @ actor )
| ~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(132,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[67]) ).
thf(133,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( husband @ X @ Y )
| ( female @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(134,plain,
( ( ! [X: $i] :
( ( female @ X )
| ( male @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(135,plain,
( ( ! [Z: $i,U: $i] :
( ~ ( has_job @ Z @ U )
| ! [X: $i] :
( ~ ( has_job @ Z @ X )
| ! [Y: $i] :
( ~ ( has_job @ Z @ Y )
| ( equal_jobs @ U @ X )
| ( equal_jobs @ U @ Y )
| ( equal_jobs @ X @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(136,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( has_job @ X @ Z )
| ! [Y: $i] :
( ~ ( has_job @ Y @ Z )
| ( equal_people @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(137,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ! [Y: $i] :
( ( has_job @ Y @ operator )
| ~ ( husband @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(138,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ! [Y: $i] :
( ~ ( has_job @ Y @ operator )
| ( husband @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(139,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( has_job @ X1 @ chef )
| ~ ( has_job @ X2 @ guard )
| ~ ( has_job @ X3 @ nurse )
| ~ ( has_job @ X4 @ operator )
| ~ ( has_job @ X5 @ police )
| ~ ( has_job @ X6 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(140,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( has_job @ X1 @ chef )
| ~ ( has_job @ X2 @ guard )
| ~ ( has_job @ X3 @ nurse )
| ~ ( has_job @ X4 @ operator )
| ~ ( has_job @ X5 @ police )
| ~ ( has_job @ X6 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(141,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ! [Y: $i] :
( ~ ( has_job @ Y @ operator )
| ( husband @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(142,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ! [Y: $i] :
( ( has_job @ Y @ operator )
| ~ ( husband @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(143,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( has_job @ X @ Z )
| ! [Y: $i] :
( ~ ( has_job @ Y @ Z )
| ( equal_people @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(144,plain,
( ( ! [Z: $i,U: $i] :
( ~ ( has_job @ Z @ U )
| ! [X: $i] :
( ~ ( has_job @ Z @ X )
| ! [Y: $i] :
( ~ ( has_job @ Z @ Y )
| ( equal_jobs @ U @ X )
| ( equal_jobs @ U @ Y )
| ( equal_jobs @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(145,plain,
( ( ! [X: $i] :
( ( has_job @ roberta @ X )
| ( has_job @ thelma @ X )
| ( has_job @ pete @ X )
| ( has_job @ steve @ X ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(146,plain,
( ( ! [X: $i] :
( ( has_job @ X @ chef )
| ( has_job @ X @ guard )
| ( has_job @ X @ nurse )
| ( has_job @ X @ operator )
| ( has_job @ X @ police )
| ( has_job @ X @ teacher )
| ( has_job @ X @ actor )
| ( has_job @ X @ boxer ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(147,plain,
( ( ~ ( educated @ pete ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(148,plain,
( ( ~ ( has_job @ roberta @ chef ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(149,plain,
( ( ~ ( has_job @ roberta @ boxer ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(150,plain,
( ( ~ ( has_job @ roberta @ police ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(151,plain,
( ( male @ steve )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(152,plain,
( ( male @ pete )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(153,plain,
( ( female @ roberta )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(154,plain,
( ( female @ thelma )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(155,plain,
( ( ! [X: $i] : ( equal_people @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(156,plain,
( ( ! [X: $i] : ( equal_jobs @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(157,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equal_people @ X @ Y )
| ( equal_people @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(158,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equal_jobs @ X @ Y )
| ( equal_jobs @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(159,plain,
( ( ~ ( equal_people @ roberta @ thelma ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(160,plain,
( ( ~ ( equal_people @ roberta @ pete ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(161,plain,
( ( ~ ( equal_people @ roberta @ steve ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(162,plain,
( ( ~ ( equal_people @ pete @ thelma ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(163,plain,
( ( ~ ( equal_people @ pete @ steve ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(164,plain,
( ( ~ ( equal_people @ thelma @ steve ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(165,plain,
( ( ~ ( equal_jobs @ chef @ guard ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(166,plain,
( ( ~ ( equal_jobs @ chef @ nurse ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(167,plain,
( ( ~ ( equal_jobs @ chef @ operator ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(168,plain,
( ( ~ ( equal_jobs @ chef @ police ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(169,plain,
( ( ~ ( equal_jobs @ chef @ actor ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(170,plain,
( ( ~ ( equal_jobs @ chef @ boxer ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(171,plain,
( ( ~ ( equal_jobs @ chef @ teacher ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(172,plain,
( ( ~ ( equal_jobs @ guard @ nurse ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(173,plain,
( ( ~ ( equal_jobs @ guard @ operator ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(174,plain,
( ( ~ ( equal_jobs @ guard @ police ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(175,plain,
( ( ~ ( equal_jobs @ guard @ actor ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(176,plain,
( ( ~ ( equal_jobs @ guard @ boxer ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(177,plain,
( ( ~ ( equal_jobs @ guard @ teacher ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(178,plain,
( ( ~ ( equal_jobs @ nurse @ operator ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(179,plain,
( ( ~ ( equal_jobs @ nurse @ police ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(180,plain,
( ( ~ ( equal_jobs @ nurse @ actor ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(181,plain,
( ( ~ ( equal_jobs @ nurse @ boxer ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(182,plain,
( ( ~ ( equal_jobs @ nurse @ teacher ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(183,plain,
( ( ~ ( equal_jobs @ operator @ police ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(184,plain,
( ( ~ ( equal_jobs @ operator @ actor ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(185,plain,
( ( ~ ( equal_jobs @ operator @ boxer ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(186,plain,
( ( ~ ( equal_jobs @ operator @ teacher ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(187,plain,
( ( ~ ( equal_jobs @ police @ actor ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(188,plain,
( ( ~ ( equal_jobs @ police @ boxer ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(189,plain,
( ( ~ ( equal_jobs @ police @ teacher ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(190,plain,
( ( ~ ( equal_jobs @ actor @ boxer ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(191,plain,
( ( ~ ( equal_jobs @ actor @ teacher ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(192,plain,
( ( ~ ( equal_jobs @ boxer @ teacher ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(193,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ nurse )
| ( male @ X ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(194,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ actor )
| ( male @ X ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(195,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ( female @ X ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(196,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ nurse )
| ( educated @ X ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(197,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ teacher )
| ( educated @ X ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(198,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ police )
| ( educated @ X ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(199,plain,
( ( ! [X: $i] :
( ~ ( has_job @ X @ chef )
| ~ ( has_job @ X @ police ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(200,plain,
( ( ! [X: $i] :
( ~ ( male @ X )
| ~ ( female @ X ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(201,plain,
( ( ! [X: $i] :
( ( female @ X )
| ( male @ X ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(202,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( husband @ X @ Y )
| ( male @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(203,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( husband @ X @ Y )
| ( female @ X ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(204,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(205,plain,
! [SV1: $i] :
( ( ! [SY40: $i,SY41: $i,SY42: $i,SY43: $i,SY44: $i] :
( ~ ( has_job @ SV1 @ chef )
| ~ ( has_job @ SY40 @ guard )
| ~ ( has_job @ SY41 @ nurse )
| ~ ( has_job @ SY42 @ operator )
| ~ ( has_job @ SY43 @ police )
| ~ ( has_job @ SY44 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(206,plain,
! [SV2: $i] :
( ( ~ ( has_job @ SV2 @ chef )
| ! [SY47: $i] :
( ~ ( has_job @ SY47 @ operator )
| ( husband @ SV2 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(207,plain,
! [SV3: $i] :
( ( ~ ( has_job @ SV3 @ chef )
| ! [SY48: $i] :
( ( has_job @ SY48 @ operator )
| ~ ( husband @ SV3 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(208,plain,
! [SV4: $i] :
( ( ! [SY49: $i] :
( ~ ( has_job @ SV4 @ SY49 )
| ! [SY50: $i] :
( ~ ( has_job @ SY50 @ SY49 )
| ( equal_people @ SV4 @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(209,plain,
! [SV5: $i] :
( ( ! [SY51: $i] :
( ~ ( has_job @ SV5 @ SY51 )
| ! [SY52: $i] :
( ~ ( has_job @ SV5 @ SY52 )
| ! [SY53: $i] :
( ~ ( has_job @ SV5 @ SY53 )
| ( equal_jobs @ SY51 @ SY52 )
| ( equal_jobs @ SY51 @ SY53 )
| ( equal_jobs @ SY52 @ SY53 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(210,plain,
! [SV6: $i] :
( ( ( has_job @ roberta @ SV6 )
| ( has_job @ thelma @ SV6 )
| ( has_job @ pete @ SV6 )
| ( has_job @ steve @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(211,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ chef )
| ( has_job @ SV7 @ guard )
| ( has_job @ SV7 @ nurse )
| ( has_job @ SV7 @ operator )
| ( has_job @ SV7 @ police )
| ( has_job @ SV7 @ teacher )
| ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(212,plain,
( ( educated @ pete )
= $false ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(213,plain,
( ( has_job @ roberta @ chef )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(214,plain,
( ( has_job @ roberta @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(215,plain,
( ( has_job @ roberta @ police )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(216,plain,
! [SV8: $i] :
( ( equal_people @ SV8 @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(217,plain,
! [SV9: $i] :
( ( equal_jobs @ SV9 @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(218,plain,
! [SV10: $i] :
( ( ! [SY54: $i] :
( ~ ( equal_people @ SV10 @ SY54 )
| ( equal_people @ SY54 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(219,plain,
! [SV11: $i] :
( ( ! [SY55: $i] :
( ~ ( equal_jobs @ SV11 @ SY55 )
| ( equal_jobs @ SY55 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(220,plain,
( ( equal_people @ roberta @ thelma )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(221,plain,
( ( equal_people @ roberta @ pete )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(222,plain,
( ( equal_people @ roberta @ steve )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(223,plain,
( ( equal_people @ pete @ thelma )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(224,plain,
( ( equal_people @ pete @ steve )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(225,plain,
( ( equal_people @ thelma @ steve )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(226,plain,
( ( equal_jobs @ chef @ guard )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(227,plain,
( ( equal_jobs @ chef @ nurse )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(228,plain,
( ( equal_jobs @ chef @ operator )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(229,plain,
( ( equal_jobs @ chef @ police )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(230,plain,
( ( equal_jobs @ chef @ actor )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(231,plain,
( ( equal_jobs @ chef @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(232,plain,
( ( equal_jobs @ chef @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(233,plain,
( ( equal_jobs @ guard @ nurse )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(234,plain,
( ( equal_jobs @ guard @ operator )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(235,plain,
( ( equal_jobs @ guard @ police )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(236,plain,
( ( equal_jobs @ guard @ actor )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(237,plain,
( ( equal_jobs @ guard @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(238,plain,
( ( equal_jobs @ guard @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(239,plain,
( ( equal_jobs @ nurse @ operator )
= $false ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(240,plain,
( ( equal_jobs @ nurse @ police )
= $false ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(241,plain,
( ( equal_jobs @ nurse @ actor )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(242,plain,
( ( equal_jobs @ nurse @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(243,plain,
( ( equal_jobs @ nurse @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(244,plain,
( ( equal_jobs @ operator @ police )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(245,plain,
( ( equal_jobs @ operator @ actor )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(246,plain,
( ( equal_jobs @ operator @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(247,plain,
( ( equal_jobs @ operator @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(248,plain,
( ( equal_jobs @ police @ actor )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(249,plain,
( ( equal_jobs @ police @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(250,plain,
( ( equal_jobs @ police @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(251,plain,
( ( equal_jobs @ actor @ boxer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(252,plain,
( ( equal_jobs @ actor @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(253,plain,
( ( equal_jobs @ boxer @ teacher )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(254,plain,
! [SV12: $i] :
( ( ~ ( has_job @ SV12 @ nurse )
| ( male @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(255,plain,
! [SV13: $i] :
( ( ~ ( has_job @ SV13 @ actor )
| ( male @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(256,plain,
! [SV14: $i] :
( ( ~ ( has_job @ SV14 @ chef )
| ( female @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(257,plain,
! [SV15: $i] :
( ( ~ ( has_job @ SV15 @ nurse )
| ( educated @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(258,plain,
! [SV16: $i] :
( ( ~ ( has_job @ SV16 @ teacher )
| ( educated @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(259,plain,
! [SV17: $i] :
( ( ~ ( has_job @ SV17 @ police )
| ( educated @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(260,plain,
! [SV18: $i] :
( ( ~ ( has_job @ SV18 @ chef )
| ~ ( has_job @ SV18 @ police ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(261,plain,
! [SV19: $i] :
( ( ~ ( male @ SV19 )
| ~ ( female @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(262,plain,
! [SV20: $i] :
( ( ( female @ SV20 )
| ( male @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(263,plain,
! [SV21: $i] :
( ( ! [SY56: $i] :
( ~ ( husband @ SV21 @ SY56 )
| ( male @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(264,plain,
! [SV22: $i] :
( ( ! [SY57: $i] :
~ ( husband @ SV22 @ SY57 )
| ( female @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(265,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(266,plain,
! [SV23: $i,SV1: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i,SY61: $i] :
( ~ ( has_job @ SV1 @ chef )
| ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SY58 @ nurse )
| ~ ( has_job @ SY59 @ operator )
| ~ ( has_job @ SY60 @ police )
| ~ ( has_job @ SY61 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(267,plain,
! [SV2: $i] :
( ( ( ~ ( has_job @ SV2 @ chef ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( has_job @ SY47 @ operator )
| ( husband @ SV2 @ SY47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(268,plain,
! [SV3: $i] :
( ( ( ~ ( has_job @ SV3 @ chef ) )
= $true )
| ( ( ! [SY48: $i] :
( ( has_job @ SY48 @ operator )
| ~ ( husband @ SV3 @ SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(269,plain,
! [SV24: $i,SV4: $i] :
( ( ~ ( has_job @ SV4 @ SV24 )
| ! [SY64: $i] :
( ~ ( has_job @ SY64 @ SV24 )
| ( equal_people @ SV4 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(270,plain,
! [SV25: $i,SV5: $i] :
( ( ~ ( has_job @ SV5 @ SV25 )
| ! [SY65: $i] :
( ~ ( has_job @ SV5 @ SY65 )
| ! [SY66: $i] :
( ~ ( has_job @ SV5 @ SY66 )
| ( equal_jobs @ SV25 @ SY65 )
| ( equal_jobs @ SV25 @ SY66 )
| ( equal_jobs @ SY65 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(271,plain,
! [SV6: $i] :
( ( ( has_job @ roberta @ SV6 )
= $true )
| ( ( ( has_job @ thelma @ SV6 )
| ( has_job @ pete @ SV6 )
| ( has_job @ steve @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(272,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ chef )
= $true )
| ( ( ( has_job @ SV7 @ guard )
| ( has_job @ SV7 @ nurse )
| ( has_job @ SV7 @ operator )
| ( has_job @ SV7 @ police )
| ( has_job @ SV7 @ teacher )
| ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(273,plain,
! [SV26: $i,SV10: $i] :
( ( ~ ( equal_people @ SV10 @ SV26 )
| ( equal_people @ SV26 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(274,plain,
! [SV27: $i,SV11: $i] :
( ( ~ ( equal_jobs @ SV11 @ SV27 )
| ( equal_jobs @ SV27 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(275,plain,
! [SV12: $i] :
( ( ( ~ ( has_job @ SV12 @ nurse ) )
= $true )
| ( ( male @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(276,plain,
! [SV13: $i] :
( ( ( ~ ( has_job @ SV13 @ actor ) )
= $true )
| ( ( male @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(277,plain,
! [SV14: $i] :
( ( ( ~ ( has_job @ SV14 @ chef ) )
= $true )
| ( ( female @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(278,plain,
! [SV15: $i] :
( ( ( ~ ( has_job @ SV15 @ nurse ) )
= $true )
| ( ( educated @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(279,plain,
! [SV16: $i] :
( ( ( ~ ( has_job @ SV16 @ teacher ) )
= $true )
| ( ( educated @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(280,plain,
! [SV17: $i] :
( ( ( ~ ( has_job @ SV17 @ police ) )
= $true )
| ( ( educated @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(281,plain,
! [SV18: $i] :
( ( ( ~ ( has_job @ SV18 @ chef ) )
= $true )
| ( ( ~ ( has_job @ SV18 @ police ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(282,plain,
! [SV19: $i] :
( ( ( ~ ( male @ SV19 ) )
= $true )
| ( ( ~ ( female @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(283,plain,
! [SV20: $i] :
( ( ( female @ SV20 )
= $true )
| ( ( male @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(284,plain,
! [SV28: $i,SV21: $i] :
( ( ~ ( husband @ SV21 @ SV28 )
| ( male @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(285,plain,
! [SV22: $i] :
( ( ( ! [SY57: $i] :
~ ( husband @ SV22 @ SY57 ) )
= $true )
| ( ( female @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(286,plain,
! [SV29: $i,SV23: $i,SV1: $i] :
( ( ! [SY67: $i,SY68: $i,SY69: $i] :
( ~ ( has_job @ SV1 @ chef )
| ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SY67 @ operator )
| ~ ( has_job @ SY68 @ police )
| ~ ( has_job @ SY69 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(287,plain,
! [SV2: $i] :
( ( ( has_job @ SV2 @ chef )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( has_job @ SY47 @ operator )
| ( husband @ SV2 @ SY47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(288,plain,
! [SV3: $i] :
( ( ( has_job @ SV3 @ chef )
= $false )
| ( ( ! [SY48: $i] :
( ( has_job @ SY48 @ operator )
| ~ ( husband @ SV3 @ SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(289,plain,
! [SV24: $i,SV4: $i] :
( ( ( ~ ( has_job @ SV4 @ SV24 ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( has_job @ SY64 @ SV24 )
| ( equal_people @ SV4 @ SY64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(290,plain,
! [SV25: $i,SV5: $i] :
( ( ( ~ ( has_job @ SV5 @ SV25 ) )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( has_job @ SV5 @ SY65 )
| ! [SY66: $i] :
( ~ ( has_job @ SV5 @ SY66 )
| ( equal_jobs @ SV25 @ SY65 )
| ( equal_jobs @ SV25 @ SY66 )
| ( equal_jobs @ SY65 @ SY66 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(291,plain,
! [SV6: $i] :
( ( ( has_job @ thelma @ SV6 )
= $true )
| ( ( ( has_job @ pete @ SV6 )
| ( has_job @ steve @ SV6 ) )
= $true )
| ( ( has_job @ roberta @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(292,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ guard )
= $true )
| ( ( ( has_job @ SV7 @ nurse )
| ( has_job @ SV7 @ operator )
| ( has_job @ SV7 @ police )
| ( has_job @ SV7 @ teacher )
| ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true )
| ( ( has_job @ SV7 @ chef )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(293,plain,
! [SV26: $i,SV10: $i] :
( ( ( ~ ( equal_people @ SV10 @ SV26 ) )
= $true )
| ( ( equal_people @ SV26 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(294,plain,
! [SV27: $i,SV11: $i] :
( ( ( ~ ( equal_jobs @ SV11 @ SV27 ) )
= $true )
| ( ( equal_jobs @ SV27 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(295,plain,
! [SV12: $i] :
( ( ( has_job @ SV12 @ nurse )
= $false )
| ( ( male @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(296,plain,
! [SV13: $i] :
( ( ( has_job @ SV13 @ actor )
= $false )
| ( ( male @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(297,plain,
! [SV14: $i] :
( ( ( has_job @ SV14 @ chef )
= $false )
| ( ( female @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(298,plain,
! [SV15: $i] :
( ( ( has_job @ SV15 @ nurse )
= $false )
| ( ( educated @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(299,plain,
! [SV16: $i] :
( ( ( has_job @ SV16 @ teacher )
= $false )
| ( ( educated @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(300,plain,
! [SV17: $i] :
( ( ( has_job @ SV17 @ police )
= $false )
| ( ( educated @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(301,plain,
! [SV18: $i] :
( ( ( has_job @ SV18 @ chef )
= $false )
| ( ( ~ ( has_job @ SV18 @ police ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(302,plain,
! [SV19: $i] :
( ( ( male @ SV19 )
= $false )
| ( ( ~ ( female @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(303,plain,
! [SV28: $i,SV21: $i] :
( ( ( ~ ( husband @ SV21 @ SV28 ) )
= $true )
| ( ( male @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(304,plain,
! [SV30: $i,SV22: $i] :
( ( ( ~ ( husband @ SV22 @ SV30 ) )
= $true )
| ( ( female @ SV22 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(305,plain,
! [SV31: $i,SV29: $i,SV23: $i,SV1: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ~ ( has_job @ SV1 @ chef )
| ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SY72 @ police )
| ~ ( has_job @ SY73 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(306,plain,
! [SV2: $i,SV32: $i] :
( ( ( ~ ( has_job @ SV32 @ operator )
| ( husband @ SV2 @ SV32 ) )
= $true )
| ( ( has_job @ SV2 @ chef )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(307,plain,
! [SV3: $i,SV33: $i] :
( ( ( ( has_job @ SV33 @ operator )
| ~ ( husband @ SV3 @ SV33 ) )
= $true )
| ( ( has_job @ SV3 @ chef )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(308,plain,
! [SV24: $i,SV4: $i] :
( ( ( has_job @ SV4 @ SV24 )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( has_job @ SY64 @ SV24 )
| ( equal_people @ SV4 @ SY64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(309,plain,
! [SV25: $i,SV5: $i] :
( ( ( has_job @ SV5 @ SV25 )
= $false )
| ( ( ! [SY65: $i] :
( ~ ( has_job @ SV5 @ SY65 )
| ! [SY66: $i] :
( ~ ( has_job @ SV5 @ SY66 )
| ( equal_jobs @ SV25 @ SY65 )
| ( equal_jobs @ SV25 @ SY66 )
| ( equal_jobs @ SY65 @ SY66 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(310,plain,
! [SV6: $i] :
( ( ( has_job @ pete @ SV6 )
= $true )
| ( ( has_job @ steve @ SV6 )
= $true )
| ( ( has_job @ thelma @ SV6 )
= $true )
| ( ( has_job @ roberta @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(311,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ nurse )
= $true )
| ( ( ( has_job @ SV7 @ operator )
| ( has_job @ SV7 @ police )
| ( has_job @ SV7 @ teacher )
| ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true )
| ( ( has_job @ SV7 @ guard )
= $true )
| ( ( has_job @ SV7 @ chef )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(312,plain,
! [SV26: $i,SV10: $i] :
( ( ( equal_people @ SV10 @ SV26 )
= $false )
| ( ( equal_people @ SV26 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(313,plain,
! [SV27: $i,SV11: $i] :
( ( ( equal_jobs @ SV11 @ SV27 )
= $false )
| ( ( equal_jobs @ SV27 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(314,plain,
! [SV18: $i] :
( ( ( has_job @ SV18 @ police )
= $false )
| ( ( has_job @ SV18 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(315,plain,
! [SV19: $i] :
( ( ( female @ SV19 )
= $false )
| ( ( male @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(316,plain,
! [SV28: $i,SV21: $i] :
( ( ( husband @ SV21 @ SV28 )
= $false )
| ( ( male @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(317,plain,
! [SV30: $i,SV22: $i] :
( ( ( husband @ SV22 @ SV30 )
= $false )
| ( ( female @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(318,plain,
! [SV34: $i,SV31: $i,SV29: $i,SV23: $i,SV1: $i] :
( ( ! [SY76: $i] :
( ~ ( has_job @ SV1 @ chef )
| ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SY76 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(319,plain,
! [SV2: $i,SV32: $i] :
( ( ( ~ ( has_job @ SV32 @ operator ) )
= $true )
| ( ( husband @ SV2 @ SV32 )
= $true )
| ( ( has_job @ SV2 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(320,plain,
! [SV3: $i,SV33: $i] :
( ( ( has_job @ SV33 @ operator )
= $true )
| ( ( ~ ( husband @ SV3 @ SV33 ) )
= $true )
| ( ( has_job @ SV3 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(321,plain,
! [SV4: $i,SV24: $i,SV35: $i] :
( ( ( ~ ( has_job @ SV35 @ SV24 )
| ( equal_people @ SV4 @ SV35 ) )
= $true )
| ( ( has_job @ SV4 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(322,plain,
! [SV25: $i,SV36: $i,SV5: $i] :
( ( ( ~ ( has_job @ SV5 @ SV36 )
| ! [SY79: $i] :
( ~ ( has_job @ SV5 @ SY79 )
| ( equal_jobs @ SV25 @ SV36 )
| ( equal_jobs @ SV25 @ SY79 )
| ( equal_jobs @ SV36 @ SY79 ) ) )
= $true )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(323,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ operator )
= $true )
| ( ( ( has_job @ SV7 @ police )
| ( has_job @ SV7 @ teacher )
| ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true )
| ( ( has_job @ SV7 @ nurse )
= $true )
| ( ( has_job @ SV7 @ guard )
= $true )
| ( ( has_job @ SV7 @ chef )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(324,plain,
! [SV37: $i,SV34: $i,SV31: $i,SV29: $i,SV23: $i,SV1: $i] :
( ( ~ ( has_job @ SV1 @ chef )
| ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(325,plain,
! [SV2: $i,SV32: $i] :
( ( ( has_job @ SV32 @ operator )
= $false )
| ( ( husband @ SV2 @ SV32 )
= $true )
| ( ( has_job @ SV2 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(326,plain,
! [SV33: $i,SV3: $i] :
( ( ( husband @ SV3 @ SV33 )
= $false )
| ( ( has_job @ SV33 @ operator )
= $true )
| ( ( has_job @ SV3 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(327,plain,
! [SV4: $i,SV24: $i,SV35: $i] :
( ( ( ~ ( has_job @ SV35 @ SV24 ) )
= $true )
| ( ( equal_people @ SV4 @ SV35 )
= $true )
| ( ( has_job @ SV4 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(328,plain,
! [SV25: $i,SV36: $i,SV5: $i] :
( ( ( ~ ( has_job @ SV5 @ SV36 ) )
= $true )
| ( ( ! [SY79: $i] :
( ~ ( has_job @ SV5 @ SY79 )
| ( equal_jobs @ SV25 @ SV36 )
| ( equal_jobs @ SV25 @ SY79 )
| ( equal_jobs @ SV36 @ SY79 ) ) )
= $true )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(329,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ police )
= $true )
| ( ( ( has_job @ SV7 @ teacher )
| ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true )
| ( ( has_job @ SV7 @ operator )
= $true )
| ( ( has_job @ SV7 @ nurse )
= $true )
| ( ( has_job @ SV7 @ guard )
= $true )
| ( ( has_job @ SV7 @ chef )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(330,plain,
! [SV37: $i,SV34: $i,SV31: $i,SV29: $i,SV23: $i,SV1: $i] :
( ( ( ~ ( has_job @ SV1 @ chef ) )
= $true )
| ( ( ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(331,plain,
! [SV4: $i,SV24: $i,SV35: $i] :
( ( ( has_job @ SV35 @ SV24 )
= $false )
| ( ( equal_people @ SV4 @ SV35 )
= $true )
| ( ( has_job @ SV4 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(332,plain,
! [SV25: $i,SV36: $i,SV5: $i] :
( ( ( has_job @ SV5 @ SV36 )
= $false )
| ( ( ! [SY79: $i] :
( ~ ( has_job @ SV5 @ SY79 )
| ( equal_jobs @ SV25 @ SV36 )
| ( equal_jobs @ SV25 @ SY79 )
| ( equal_jobs @ SV36 @ SY79 ) ) )
= $true )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(333,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ teacher )
= $true )
| ( ( ( has_job @ SV7 @ actor )
| ( has_job @ SV7 @ boxer ) )
= $true )
| ( ( has_job @ SV7 @ police )
= $true )
| ( ( has_job @ SV7 @ operator )
= $true )
| ( ( has_job @ SV7 @ nurse )
= $true )
| ( ( has_job @ SV7 @ guard )
= $true )
| ( ( has_job @ SV7 @ chef )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(334,plain,
! [SV37: $i,SV34: $i,SV31: $i,SV29: $i,SV23: $i,SV1: $i] :
( ( ( has_job @ SV1 @ chef )
= $false )
| ( ( ~ ( has_job @ SV23 @ guard )
| ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(335,plain,
! [SV36: $i,SV25: $i,SV38: $i,SV5: $i] :
( ( ( ~ ( has_job @ SV5 @ SV38 )
| ( equal_jobs @ SV25 @ SV36 )
| ( equal_jobs @ SV25 @ SV38 )
| ( equal_jobs @ SV36 @ SV38 ) )
= $true )
| ( ( has_job @ SV5 @ SV36 )
= $false )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(336,plain,
! [SV7: $i] :
( ( ( has_job @ SV7 @ actor )
= $true )
| ( ( has_job @ SV7 @ boxer )
= $true )
| ( ( has_job @ SV7 @ teacher )
= $true )
| ( ( has_job @ SV7 @ police )
= $true )
| ( ( has_job @ SV7 @ operator )
= $true )
| ( ( has_job @ SV7 @ nurse )
= $true )
| ( ( has_job @ SV7 @ guard )
= $true )
| ( ( has_job @ SV7 @ chef )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(337,plain,
! [SV1: $i,SV37: $i,SV34: $i,SV31: $i,SV29: $i,SV23: $i] :
( ( ( ~ ( has_job @ SV23 @ guard ) )
= $true )
| ( ( ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(338,plain,
! [SV36: $i,SV25: $i,SV38: $i,SV5: $i] :
( ( ( ~ ( has_job @ SV5 @ SV38 ) )
= $true )
| ( ( ( equal_jobs @ SV25 @ SV36 )
| ( equal_jobs @ SV25 @ SV38 )
| ( equal_jobs @ SV36 @ SV38 ) )
= $true )
| ( ( has_job @ SV5 @ SV36 )
= $false )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(339,plain,
! [SV1: $i,SV37: $i,SV34: $i,SV31: $i,SV29: $i,SV23: $i] :
( ( ( has_job @ SV23 @ guard )
= $false )
| ( ( ~ ( has_job @ SV29 @ nurse )
| ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(340,plain,
! [SV36: $i,SV25: $i,SV38: $i,SV5: $i] :
( ( ( has_job @ SV5 @ SV38 )
= $false )
| ( ( ( equal_jobs @ SV25 @ SV36 )
| ( equal_jobs @ SV25 @ SV38 )
| ( equal_jobs @ SV36 @ SV38 ) )
= $true )
| ( ( has_job @ SV5 @ SV36 )
= $false )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(341,plain,
! [SV1: $i,SV23: $i,SV37: $i,SV34: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( has_job @ SV29 @ nurse ) )
= $true )
| ( ( ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(342,plain,
! [SV5: $i,SV38: $i,SV36: $i,SV25: $i] :
( ( ( equal_jobs @ SV25 @ SV36 )
= $true )
| ( ( ( equal_jobs @ SV25 @ SV38 )
| ( equal_jobs @ SV36 @ SV38 ) )
= $true )
| ( ( has_job @ SV5 @ SV38 )
= $false )
| ( ( has_job @ SV5 @ SV36 )
= $false )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(343,plain,
! [SV1: $i,SV23: $i,SV37: $i,SV34: $i,SV31: $i,SV29: $i] :
( ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( ~ ( has_job @ SV31 @ operator )
| ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(344,plain,
! [SV5: $i,SV36: $i,SV38: $i,SV25: $i] :
( ( ( equal_jobs @ SV25 @ SV38 )
= $true )
| ( ( equal_jobs @ SV36 @ SV38 )
= $true )
| ( ( equal_jobs @ SV25 @ SV36 )
= $true )
| ( ( has_job @ SV5 @ SV38 )
= $false )
| ( ( has_job @ SV5 @ SV36 )
= $false )
| ( ( has_job @ SV5 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(345,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV37: $i,SV34: $i,SV31: $i] :
( ( ( ~ ( has_job @ SV31 @ operator ) )
= $true )
| ( ( ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(346,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV37: $i,SV34: $i,SV31: $i] :
( ( ( has_job @ SV31 @ operator )
= $false )
| ( ( ~ ( has_job @ SV34 @ police )
| ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(347,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV37: $i,SV34: $i] :
( ( ( ~ ( has_job @ SV34 @ police ) )
= $true )
| ( ( ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(348,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV37: $i,SV34: $i] :
( ( ( has_job @ SV34 @ police )
= $false )
| ( ( ~ ( has_job @ SV37 @ teacher )
| ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(349,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i] :
( ( ( ~ ( has_job @ SV37 @ teacher ) )
= $true )
| ( ( ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(350,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i] :
( ( ( has_job @ SV37 @ teacher )
= $false )
| ( ( ! [X7: $i] :
~ ( has_job @ X7 @ actor )
| ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(351,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i] :
( ( ( ! [X7: $i] :
~ ( has_job @ X7 @ actor ) )
= $true )
| ( ( ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV37 @ teacher )
= $false )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(352,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i,SV39: $i] :
( ( ( ~ ( has_job @ SV39 @ actor ) )
= $true )
| ( ( ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV37 @ teacher )
= $false )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(353,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i,SV39: $i] :
( ( ( has_job @ SV39 @ actor )
= $false )
| ( ( ! [X8: $i] :
~ ( has_job @ X8 @ boxer ) )
= $true )
| ( ( has_job @ SV37 @ teacher )
= $false )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(354,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i,SV39: $i,SV40: $i] :
( ( ( ~ ( has_job @ SV40 @ boxer ) )
= $true )
| ( ( has_job @ SV39 @ actor )
= $false )
| ( ( has_job @ SV37 @ teacher )
= $false )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(355,plain,
! [SV1: $i,SV23: $i,SV29: $i,SV31: $i,SV34: $i,SV37: $i,SV39: $i,SV40: $i] :
( ( ( has_job @ SV40 @ boxer )
= $false )
| ( ( has_job @ SV39 @ actor )
= $false )
| ( ( has_job @ SV37 @ teacher )
= $false )
| ( ( has_job @ SV34 @ police )
= $false )
| ( ( has_job @ SV31 @ operator )
= $false )
| ( ( has_job @ SV29 @ nurse )
= $false )
| ( ( has_job @ SV23 @ guard )
= $false )
| ( ( has_job @ SV1 @ chef )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(356,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[151,355,344,336,331,326,325,317,316,315,314,313,312,310,300,299,298,297,296,295,283,265,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,217,216,215,214,213,212,154,153,152]) ).
thf(357,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ019-1 : TPTP v8.1.0. Bugfixed v5.1.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 23:13:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 64
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.37 .
% 0.18/0.37 (rf:0,axioms:64,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:66,loop_count:0,foatp_calls:0,translation:fof_full)..............
% 0.18/0.54
% 0.18/0.54 ********************************
% 0.18/0.54 * All subproblems solved! *
% 0.18/0.54 ********************************
% 0.18/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:64,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:356,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.38/0.57
% 0.38/0.57 %**** Beginning of derivation protocol ****
% 0.38/0.57 % SZS output start CNFRefutation
% See solution above
% 0.38/0.57
% 0.38/0.57 %**** End of derivation protocol ****
% 0.38/0.57 %**** no. of clauses in derivation: 357 ****
% 0.38/0.57 %**** clause counter: 356 ****
% 0.38/0.57
% 0.38/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:64,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:356,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------