/*
Yap run on school_32.yap
   ?- s([professor_ability(p0,X)],P).
P = 0.5,
X = h ? ;
P = 0.1,
X = l ? ;
P = 0.4,
X = m ? ;
no
   ?- s([professor_popularity(p0,X)],P).
P = 0.531,
X = h ? ;
P = 0.175,
X = l ? ;
P = 0.294,
X = m ? ;
no
ok

sc([professor_ability(p0,X)],[professor_popularity(p0,h)],P).
P = 0.847457627118644,
X = h ? ;
P = 0.00188323917137476,
X = l ? ;
P = 0.150659133709981,
X = m ?
ok

sc([professor_popularity(p0,X)],[professor_ability(p0,h)],P).
P = 0.9,
X = h ? ;
P = 0.01,
X = l ? ;
P = 0.09,
X = m ? ;
no
ok
   ?- s([registration_grade(r0,X)],P).
P = 0.06675,
X = 1 ? ;
P = 0.16575,
X = 2 ? ;
Action (";" for more choices, <return> for exit) ? ;
P = 0.356,
X = 3 ? ;
P = 0.4115,
X = 4 ?
no
ok

sc([registration_grade(r0,X)],[registration_course(r0,C), course_difficulty(C,h)],P).
C = c16,
P = 0.15,
X = 1 ? ;
C = c16,
P = 0.285,
X = 2 ? ;
C = c16,
P = 0.424,
X = 3 ? ;
C = c16,
P = 0.141,
X = 4 ? ;
no
ok (a=4, ...,d=1)

sc([registration_grade(r0,X)], [registration_course(r0,C), course_difficulty(C,h), registration_student(r0,S), student_intelligence(S,h)],P).
C = c16,
P = 0.05,
S = s0,
X = 1 ? ;
C = c16,
P = 0.15,
S = s0,
X = 2 ? ;
C = c16,
P = 0.6,
S = s0,
X = 3 ? ;
C = c16,
P = 0.2,
S = s0,
X = 4 ? ;
no
ok

sc([registration_grade(r0,X)],[registration_course(r0,C), course_difficulty(C,l), registration_student(r0,S), student_intelligence(S,h)],P).
C = c16,
P = 0.01,
S = s0,
X = 1 ? ;
C = c16,
P = 0.02,
S = s0,
X = 2 ? ;
C = c16,
P = 0.12,
S = s0,
X = 3 ? ;
C = c16,
P = 0.85,
S = s0,
X = 4 ? ;
no
ok

s([registration_satisfaction(r0,X)],P).
P = 0.15197525,
X = 1 ? ;
P = 0.15331025,
X = 2 ? ;
P = 0.6947145,
X = 3 ? ;
no
ok
sc([registration_satisfaction(r0,X)],[ registration_student(r0,S), student_intelligence(S,h)],P).
P = 0.0959225,
S = s0,
X = 1 ? ;
P = 0.124515,
S = s0,
X = 2 ? ;
P = 0.7795625,
S = s0,
X = 3 ? ;
no
ok (h=3, l=1)

sc([registration_satisfaction(r0,X)],[registration_grade(r0,4)],P).
P = 0.04,
X = 1 ? ;
P = 0.06,
X = 2 ? ;
P = 0.9,
X = 3 ? ;
in Yap:
   ?- registration_satisfaction(r0,X), registration_grade(r0,a).
% YAP: no handler for error error(domain_error(bayesian_domain),bind_clpbns(var(grade(r0),[a,b,c,d],[0.2,0.7,0.85,0.1,0.2,0.5,0.01,0.05,0.1,0.6,0.25,0.12,0.3,0.6,0.35,0.04,0.15,0.4,0.15,0.04,0.02,0.4,0.15,0.12,0.5,0.6,0.4,0.05,0.01,0.01,0.2,0.05,0.03,0.45,0.2,0.1],[_D11,_D12]),var(grade(r0),[a,b,c,d],[0.2,0.7,0.85,0.1,0.2,0.5,0.01,0.05,0.1,0.6,0.25,0.12,0.3,0.6,0.35,0.04,0.15,0.4,0.15,0.04,0.02,0.4,0.15,0.12,0.5,0.6,0.4,0.05,0.01,0.01,0.2,0.05,0.03,0.45,0.2,0.1],[_D13,_D12])))

sc([registration_satisfaction(r0,X)],[registration_grade(r0,1)],P).
P = 0.528,
X = 1 ? ;
P = 0.167,
X = 2 ? ;
P = 0.305,
X = 3 ? ;
no
   ?- sc([ registration_grade(r0,X)],[registration_satisfaction(r0,3)],P).
P = 0.0293052037923492,
X = 1 ? ;
P = 0.114760451955444,
X = 2 ? ;
P = 0.322837654892765,
X = 3 ? ;
P = 0.533096689359442,
X = 4 ? ;
no
   ?- registration_satisfaction(r0,X), registration_grade(r0,d).
% YAP: no handler for error error(domain_error(bayesian_domain),bind_clpbns(var(grade(r0),[a,b,c,d],[0.2,0.7,0.85,0.1,0.2,0.5,0.01,0.05,0.1,0.6,0.25,0.12,0.3,0.6,0.35,0.04,0.15,0.4,0.15,0.04,0.02,0.4,0.15,0.12,0.5,0.6,0.4,0.05,0.01,0.01,0.2,0.05,0.03,0.45,0.2,0.1],[_D11,_D12]),var(grade(r0),[a,b,c,d],[0.2,0.7,0.85,0.1,0.2,0.5,0.01,0.05,0.1,0.6,0.25,0.12,0.3,0.6,0.35,0.04,0.15,0.4,0.15,0.04,0.02,0.4,0.15,0.12,0.5,0.6,0.4,0.05,0.01,0.01,0.2,0.05,0.03,0.45,0.2,0.1],[_D13,_D12])))

sc([ registration_grade(r0,X)],[registration_satisfaction(r0,3)],P).
   ?- registration_satisfaction(r0,h), registration_grade(r0,X).
% YAP: no handler for error error(domain_error(bayesian_domain),bind_clpbns(var(grade(r0),[a,b,c,d],[0.2,0.7,0.85,0.1,0.2,0.5,0.01,0.05,0.1,0.6,0.25,0.12,0.3,0.6,0.35,0.04,0.15,0.4,0.15,0.04,0.02,0.4,0.15,0.12,0.5,0.6,0.4,0.05,0.01,0.01,0.2,0.05,0.03,0.45,0.2,0.1],[_D11,_D12]),var(grade(r0),[a,b,c,d],[0.2,0.7,0.85,0.1,0.2,0.5,0.01,0.05,0.1,0.6,0.25,0.12,0.3,0.6,0.35,0.04,0.15,0.4,0.15,0.04,0.02,0.4,0.15,0.12,0.5,0.6,0.4,0.05,0.01,0.01,0.2,0.05,0.03,0.45,0.2,0.1],[_D13,_D12])))

s([course_rating(c0,X)],P).
P = 0.5392099,
X = h ? ;
P = 0.2,
X = l ? ;
P = 0.2607901,
X = m ? ;
no
yap does not end, starts thrashing
sc([course_difficulty(c0,X)],[course_rating(c0,h)],P).
P = 0.235185778302661,
X = h ? ;
P = 0.259096503977393,
X = l ? ;
P = 0.505717717719945,
X = m ? ;
no
yap does not end, starts thrashing
s([course_difficulty(c0,X)],P).
P = 0.25,
X = h ? ;
P = 0.25,
X = l ? ;
P = 0.5,
X = m ? ;
no
ok
student_ranking(s0,X).
| ?- s([student_ranking(s0,X)],P).
P = 0.33105221125,
X = h ? ;
P = 0.204865630625,
X = l ? ;
P = 0.46408215812500003,
X = m ?
not checked with s
yap:
true ?
yes


sc([student_ranking(s0,X)],[student_intelligence(s0,h)],P).
P = 0.42922046875000003,
X = h ? ;
P = 0.20003319999999997,
X = l ? ;
P = 0.3707463312499999,
X = m ? ;
no
not checked with s
yap:
true 
*/




professor_ability(Key,h):0.50;professor_ability(Key,m): 0.40;professor_ability(Key,l):  0.10.

professor_popularity(Key, h):0.9; professor_popularity(Key, m):0.09; professor_popularity(Key, l):0.01 :-
	professor_ability(Key, h).

professor_popularity(Key, h):0.2; professor_popularity(Key, m):0.6; professor_popularity(Key, l):0.2:-
	professor_ability(Key, m).

professor_popularity(Key, h):0.01; professor_popularity(Key, m):0.09; professor_popularity(Key, l):0.9 :-
	professor_ability(Key,l).



registration_course(Key, CKey) :-
	registration(Key, CKey, _).

registration_student(Key, SKey) :-
	registration(Key, _, SKey).

registration_grade(Key, 4): 0.2;registration_grade(Key, 3): 0.6;registration_grade(Key, 2): 0.15 ;
     registration_grade(Key, 1): 0.05 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, h) ,
    course_difficulty(CKey, h).

registration_grade(Key, 4): 0.7;registration_grade(Key, 3): 0.25;registration_grade(Key, 2): 0.04 ;
     registration_grade(Key, 1): 0.01 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, h) ,
    course_difficulty(CKey, m).


registration_grade(Key, 4): 0.85;registration_grade(Key, 3): 0.12;registration_grade(Key, 2): 0.02 ;
     registration_grade(Key, 1): 0.01 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, h) ,
    course_difficulty(CKey, l).


registration_grade(Key, 4): 0.1;registration_grade(Key, 3): 0.3;registration_grade(Key, 2): 0.4 ;
     registration_grade(Key, 1): 0.2 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, m) ,
    course_difficulty(CKey, h).


registration_grade(Key, 4): 0.2;registration_grade(Key, 3): 0.6;registration_grade(Key, 2): 0.15 ;
     registration_grade(Key, 1): 0.05 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, m) ,
    course_difficulty(CKey, m).

registration_grade(Key, 4): 0.5;registration_grade(Key, 3): 0.35;registration_grade(Key, 2): 0.12;
     registration_grade(Key, 1): 0.03 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, m) ,
    course_difficulty(CKey, l).

registration_grade(Key, 4): 0.01;registration_grade(Key, 3): 0.04;registration_grade(Key, 2): 0.5 ;
     registration_grade(Key, 1): 0.45 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, l) ,
    course_difficulty(CKey, h).

registration_grade(Key, 4): 0.05;registration_grade(Key, 3): 0.15;registration_grade(Key, 2): 0.6 ;
     registration_grade(Key, 1): 0.2 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, l) ,
    course_difficulty(CKey, m).

registration_grade(Key, 4): 0.1;registration_grade(Key, 3): 0.4;registration_grade(Key, 2): 0.4 ;
     registration_grade(Key, 1): 0.1 :-
    registration(Key, CKey, SKey) ,
    student_intelligence(SKey, l) ,
    course_difficulty(CKey, l).


registration_satisfaction(Key, 3): 0.98 ; registration_satisfaction(Key, 2): 0.01 ; 
    registration_satisfaction(Key, 1): 0.01 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, h),
    registration_grade(Key, 4).

registration_satisfaction(Key, 3): 0.9 ; registration_satisfaction(Key, 2): 0.09 ; 
    registration_satisfaction(Key, 1): 0.01 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, h),
    registration_grade(Key, 3).

registration_satisfaction(Key, 3): 0.8 ; registration_satisfaction(Key, 2): 0.15 ; 
    registration_satisfaction(Key, 1): 0.05 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, h),
    registration_grade(Key, 2).



registration_satisfaction(Key, 3): 0.6 ; registration_satisfaction(Key, 2): 0.3 ; 
    registration_satisfaction(Key, 1): 0.1 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, h),
    registration_grade(Key, 1).

registration_satisfaction(Key, 3): 0.9 ; registration_satisfaction(Key, 2): 0.05 ; 
    registration_satisfaction(Key, 1): 0.05 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, m),
    registration_grade(Key, 4).

registration_satisfaction(Key, 3): 0.4 ; registration_satisfaction(Key, 2): 0.4 ; 
    registration_satisfaction(Key, 1): 0.2 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, m),
    registration_grade(Key, 3).

registration_satisfaction(Key, 3): 0.2 ; registration_satisfaction(Key, 2): 0.3 ; 
    registration_satisfaction(Key, 1): 0.5 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, m),
    registration_grade(Key, 2).

registration_satisfaction(Key, 3): 0.01 ; registration_satisfaction(Key, 2): 0.04 ; 
    registration_satisfaction(Key, 1): 0.95 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, m),
    registration_grade(Key, 1).

registration_satisfaction(Key, 3): 0.5 ; registration_satisfaction(Key, 2): 0.35 ; 
    registration_satisfaction(Key, 1): 0.15 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, l),
    registration_grade(Key, 4).

registration_satisfaction(Key, 3): 0.2 ; registration_satisfaction(Key, 2): 0.3 ; 
    registration_satisfaction(Key, 1): 0.5 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, l),
    registration_grade(Key, 3).

registration_satisfaction(Key, 3): 0.01 ; registration_satisfaction(Key, 2): 0.09 ; 
    registration_satisfaction(Key, 1): 0.9 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, l),
    registration_grade(Key, 2).

registration_satisfaction(Key, 3): 0.01 ; registration_satisfaction(Key, 2): 0.01 ; 
    registration_satisfaction(Key, 1): 0.98 :-
    registration(Key, CKey,_),
    course(CKey, PKey),
    professor_ability(PKey, l),
    registration_grade(Key, 1).

course_rating(CKey, h):0.2; course_rating(CKey, m):0.2;course_rating(CKey, l):0.6:-
	bagof(Sat, RKey^(registration_course(RKey,CKey), registration_satisfaction(RKey,Sat)), Sats),
	average(Sats, Av),Av<1.

course_rating(CKey, h):0.2; course_rating(CKey, m):0.6;course_rating(CKey, l):0.2:-
	bagof(Sat, RKey^(registration_course(RKey,CKey), registration_satisfaction(RKey,Sat)), Sats),
	average(Sats, Av),Av<2,Av>=1.

course_rating(CKey, h):0.6; course_rating(CKey,m):0.2;course_rating(CKey, l):0.2:-
	bagof(Sat, RKey^(registration_course(RKey,CKey), registration_satisfaction(RKey,Sat)), Sats),
	average(Sats, Av),Av>=2.

course_difficulty(Key, h) :0.25 ; course_difficulty(Key, m): 0.5 ; course_difficulty(Key, l) : 0.25.

student_intelligence(Key, h): 0.5; student_intelligence(Key,m):0.4; student_intelligence(Key,l):0.1.

student_ranking(Key, h):0.2; student_ranking(Key, m):0.2;student_ranking(Key, l):0.6:-
	bagof(Grade, CKey^(registration_student(CKey,Key),
			 registration_grade(CKey, Grade)), Grades),
	average(Grades, Av),Av<1.5.

student_ranking(Key, h):0.2; student_ranking(Key, m):0.6;student_ranking(Key, l):0.2:-
	bagof(Grade, CKey^(registration_student(CKey,Key),
			 registration_grade(CKey, Grade)), Grades),
	average(Grades, Av),Av>=1.5,Av<3.5.

student_ranking(Key, h):0.6; student_ranking(Key, m):0.2;student_ranking(Key, l):0.2:-
	bagof(Grade, CKey^(registration_student(CKey,Key),
			 registration_grade(CKey, Grade)), Grades),
	average(Grades, Av),Av>=3.5.


professor(p0).
professor(p1).
professor(p2).
professor(p3).
professor(p4).
professor(p5).
professor(p6).
professor(p7).
professor(p8).
professor(p9).
professor(p10).
professor(p11).
professor(p12).
professor(p13).
professor(p14).
professor(p15).
professor(p16).
professor(p17).
professor(p18).
professor(p19).
professor(p20).
professor(p21).
professor(p22).
professor(p23).
professor(p24).
professor(p25).
professor(p26).
professor(p27).
professor(p28).
professor(p29).
professor(p30).
professor(p31).


course(c0,p24).
course(c1,p7).
course(c2,p16).
course(c3,p27).
course(c4,p25).
course(c5,p6).
course(c6,p28).
course(c7,p1).
course(c8,p29).
course(c9,p23).
course(c10,p17).
course(c11,p16).
course(c12,p11).
course(c13,p28).
course(c14,p13).
course(c15,p7).
course(c16,p21).
course(c17,p15).
course(c18,p8).
course(c19,p30).
course(c20,p1).
course(c21,p23).
course(c22,p11).
course(c23,p9).
course(c24,p0).
course(c25,p30).
course(c26,p15).
course(c27,p4).
course(c28,p26).
course(c29,p29).
course(c30,p31).
course(c31,p19).
course(c32,p5).
course(c33,p14).
course(c34,p14).
course(c35,p25).
course(c36,p21).
course(c37,p10).
course(c38,p2).
course(c39,p20).
course(c40,p3).
course(c41,p18).
course(c42,p9).
course(c43,p20).
course(c44,p17).
course(c45,p19).
course(c46,p6).
course(c47,p4).
course(c48,p12).
course(c49,p10).
course(c50,p2).
course(c51,p22).
course(c52,p31).
course(c53,p24).
course(c54,p0).
course(c55,p5).
course(c56,p22).
course(c57,p13).
course(c58,p18).
course(c59,p12).
course(c60,p27).
course(c61,p3).
course(c62,p8).
course(c63,p26).


student(s0).
student(s1).
student(s2).
student(s3).
student(s4).
student(s5).
student(s6).
student(s7).
student(s8).
student(s9).
student(s10).
student(s11).
student(s12).
student(s13).
student(s14).
student(s15).
student(s16).
student(s17).
student(s18).
student(s19).
student(s20).
student(s21).
student(s22).
student(s23).
student(s24).
student(s25).
student(s26).
student(s27).
student(s28).
student(s29).
student(s30).
student(s31).
student(s32).
student(s33).
student(s34).
student(s35).
student(s36).
student(s37).
student(s38).
student(s39).
student(s40).
student(s41).
student(s42).
student(s43).
student(s44).
student(s45).
student(s46).
student(s47).
student(s48).
student(s49).
student(s50).
student(s51).
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student(s55).
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student(s59).
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student(s211).
student(s212).
student(s213).
student(s214).
student(s215).
student(s216).
student(s217).
student(s218).
student(s219).
student(s220).
student(s221).
student(s222).
student(s223).
student(s224).
student(s225).
student(s226).
student(s227).
student(s228).
student(s229).
student(s230).
student(s231).
student(s232).
student(s233).
student(s234).
student(s235).
student(s236).
student(s237).
student(s238).
student(s239).
student(s240).
student(s241).
student(s242).
student(s243).
student(s244).
student(s245).
student(s246).
student(s247).
student(s248).
student(s249).
student(s250).
student(s251).
student(s252).
student(s253).
student(s254).
student(s255).


registration(r0,c16,s0).
registration(r1,c10,s0).
registration(r2,c57,s0).
registration(r3,c22,s1).
registration(r4,c55,s1).
registration(r5,c27,s1).
registration(r6,c14,s2).
registration(r7,c52,s2).
registration(r8,c10,s2).
registration(r9,c47,s3).
registration(r10,c16,s3).
registration(r11,c62,s3).
registration(r12,c12,s4).
registration(r13,c11,s4).
registration(r14,c17,s4).
registration(r15,c52,s5).
registration(r16,c1,s5).
registration(r17,c35,s5).
registration(r18,c0,s6).
registration(r19,c7,s6).
registration(r20,c40,s6).