/*
total_professors(32).

total_courses(64).

total_students(256).

*/

:- source.

:- style_check(all).

:- yap_flag(unknown,error).

:- yap_flag(write_strings,on).

:- use_module(library(clpbn)).

:- [-schema].

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).
student(s52).
student(s53).
student(s54).
student(s55).
student(s56).
student(s57).
student(s58).
student(s59).
student(s60).
student(s61).
student(s62).
student(s63).
student(s64).
student(s65).
student(s66).
student(s67).
student(s68).
student(s69).
student(s70).
student(s71).
student(s72).
student(s73).
student(s74).
student(s75).
student(s76).
student(s77).
student(s78).
student(s79).
student(s80).
student(s81).
student(s82).
student(s83).
student(s84).
student(s85).
student(s86).
student(s87).
student(s88).
student(s89).
student(s90).
student(s91).
student(s92).
student(s93).
student(s94).
student(s95).
student(s96).
student(s97).
student(s98).
student(s99).
student(s100).
student(s101).
student(s102).
student(s103).
student(s104).
student(s105).
student(s106).
student(s107).
student(s108).
student(s109).
student(s110).
student(s111).
student(s112).
student(s113).
student(s114).
student(s115).
student(s116).
student(s117).
student(s118).
student(s119).
student(s120).
student(s121).
student(s122).
student(s123).
student(s124).
student(s125).
student(s126).
student(s127).
student(s128).
student(s129).
student(s130).
student(s131).
student(s132).
student(s133).
student(s134).
student(s135).
student(s136).
student(s137).
student(s138).
student(s139).
student(s140).
student(s141).
student(s142).
student(s143).
student(s144).
student(s145).
student(s146).
student(s147).
student(s148).
student(s149).
student(s150).
student(s151).
student(s152).
student(s153).
student(s154).
student(s155).
student(s156).
student(s157).
student(s158).
student(s159).
student(s160).
student(s161).
student(s162).
student(s163).
student(s164).
student(s165).
student(s166).
student(s167).
student(s168).
student(s169).
student(s170).
student(s171).
student(s172).
student(s173).
student(s174).
student(s175).
student(s176).
student(s177).
student(s178).
student(s179).
student(s180).
student(s181).
student(s182).
student(s183).
student(s184).
student(s185).
student(s186).
student(s187).
student(s188).
student(s189).
student(s190).
student(s191).
student(s192).
student(s193).
student(s194).
student(s195).
student(s196).
student(s197).
student(s198).
student(s199).
student(s200).
student(s201).
student(s202).
student(s203).
student(s204).
student(s205).
student(s206).
student(s207).
student(s208).
student(s209).
student(s210).
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).
registration(r21,c62,s7).
registration(r22,c16,s7).
registration(r23,c34,s7).
registration(r24,c60,s8).
registration(r25,c39,s8).
registration(r26,c43,s8).
registration(r27,c17,s8).
registration(r28,c55,s9).
registration(r29,c34,s9).
registration(r30,c35,s9).
registration(r31,c48,s10).
registration(r32,c60,s10).
registration(r33,c2,s10).
registration(r34,c54,s11).
registration(r35,c42,s11).
registration(r36,c9,s11).
registration(r37,c11,s11).
registration(r38,c51,s12).
registration(r39,c47,s12).
registration(r40,c4,s12).
registration(r41,c20,s13).
registration(r42,c0,s13).
registration(r43,c9,s13).
registration(r44,c61,s13).
registration(r45,c55,s14).
registration(r46,c5,s14).
registration(r47,c3,s14).
registration(r48,c38,s15).
registration(r49,c1,s15).
registration(r50,c46,s15).
registration(r51,c42,s16).
registration(r52,c27,s16).
registration(r53,c26,s16).
registration(r54,c6,s17).
registration(r55,c27,s17).
registration(r56,c0,s17).
registration(r57,c51,s18).
registration(r58,c63,s18).
registration(r59,c41,s18).
registration(r60,c63,s19).
registration(r61,c18,s19).
registration(r62,c54,s19).
registration(r63,c15,s19).
registration(r64,c3,s20).
registration(r65,c22,s20).
registration(r66,c43,s20).
registration(r67,c17,s21).
registration(r68,c34,s21).
registration(r69,c0,s21).
registration(r70,c42,s22).
registration(r71,c7,s22).
registration(r72,c46,s22).
registration(r73,c52,s23).
registration(r74,c21,s23).
registration(r75,c27,s23).
registration(r76,c60,s23).
registration(r77,c2,s24).
registration(r78,c38,s24).
registration(r79,c32,s24).
registration(r80,c51,s25).
registration(r81,c39,s25).
registration(r82,c49,s25).
registration(r83,c15,s25).
registration(r84,c25,s26).
registration(r85,c59,s26).
registration(r86,c21,s26).
registration(r87,c56,s27).
registration(r88,c43,s27).
registration(r89,c55,s27).
registration(r90,c21,s27).
registration(r91,c57,s28).
registration(r92,c17,s28).
registration(r93,c26,s28).
registration(r94,c53,s29).
registration(r95,c48,s29).
registration(r96,c34,s29).
registration(r97,c50,s29).
registration(r98,c35,s29).
registration(r99,c36,s30).
registration(r100,c48,s30).
registration(r101,c23,s30).
registration(r102,c33,s30).
registration(r103,c28,s31).
registration(r104,c23,s31).
registration(r105,c53,s31).
registration(r106,c32,s32).
registration(r107,c37,s32).
registration(r108,c38,s32).
registration(r109,c27,s32).
registration(r110,c34,s33).
registration(r111,c28,s33).
registration(r112,c43,s33).
registration(r113,c24,s34).
registration(r114,c28,s34).
registration(r115,c45,s34).
registration(r116,c63,s34).
registration(r117,c60,s35).
registration(r118,c9,s35).
registration(r119,c22,s35).
registration(r120,c46,s36).
registration(r121,c44,s36).
registration(r122,c26,s36).
registration(r123,c9,s36).
registration(r124,c62,s37).
registration(r125,c33,s37).
registration(r126,c31,s37).
registration(r127,c6,s37).
registration(r128,c43,s38).
registration(r129,c35,s38).
registration(r130,c56,s38).
registration(r131,c32,s38).
registration(r132,c2,s39).
registration(r133,c56,s39).
registration(r134,c58,s39).
registration(r135,c3,s40).
registration(r136,c29,s40).
registration(r137,c22,s40).
registration(r138,c39,s40).
registration(r139,c32,s41).
registration(r140,c31,s41).
registration(r141,c25,s41).
registration(r142,c36,s42).
registration(r143,c24,s42).
registration(r144,c47,s42).
registration(r145,c15,s43).
registration(r146,c1,s43).
registration(r147,c2,s43).
registration(r148,c37,s44).
registration(r149,c14,s44).
registration(r150,c60,s44).
registration(r151,c62,s45).
registration(r152,c29,s45).
registration(r153,c43,s45).
registration(r154,c46,s45).
registration(r155,c57,s46).
registration(r156,c25,s46).
registration(r157,c46,s46).
registration(r158,c15,s46).
registration(r159,c0,s47).
registration(r160,c33,s47).
registration(r161,c30,s47).
registration(r162,c55,s47).
registration(r163,c43,s48).
registration(r164,c38,s48).
registration(r165,c50,s48).
registration(r166,c51,s49).
registration(r167,c17,s49).
registration(r168,c23,s49).
registration(r169,c18,s50).
registration(r170,c63,s50).
registration(r171,c16,s50).
registration(r172,c60,s51).
registration(r173,c44,s51).
registration(r174,c32,s51).
registration(r175,c59,s52).
registration(r176,c26,s52).
registration(r177,c7,s52).
registration(r178,c42,s52).
registration(r179,c33,s52).
registration(r180,c9,s53).
registration(r181,c5,s53).
registration(r182,c39,s53).
registration(r183,c49,s53).
registration(r184,c50,s54).
registration(r185,c43,s54).
registration(r186,c55,s54).
registration(r187,c14,s55).
registration(r188,c0,s55).
registration(r189,c31,s55).
registration(r190,c47,s55).
registration(r191,c50,s56).
registration(r192,c29,s56).
registration(r193,c42,s56).
registration(r194,c22,s57).
registration(r195,c7,s57).
registration(r196,c59,s57).
registration(r197,c60,s58).
registration(r198,c26,s58).
registration(r199,c23,s58).
registration(r200,c29,s59).
registration(r201,c4,s59).
registration(r202,c38,s59).
registration(r203,c24,s60).
registration(r204,c59,s60).
registration(r205,c9,s60).
registration(r206,c23,s61).
registration(r207,c63,s61).
registration(r208,c22,s61).
registration(r209,c6,s62).
registration(r210,c43,s62).
registration(r211,c30,s62).
registration(r212,c29,s62).
registration(r213,c7,s63).
registration(r214,c19,s63).
registration(r215,c25,s63).
registration(r216,c20,s64).
registration(r217,c19,s64).
registration(r218,c57,s64).
registration(r219,c22,s65).
registration(r220,c55,s65).
registration(r221,c30,s65).
registration(r222,c53,s65).
registration(r223,c32,s66).
registration(r224,c19,s66).
registration(r225,c53,s66).
registration(r226,c53,s67).
registration(r227,c48,s67).
registration(r228,c35,s67).
registration(r229,c15,s68).
registration(r230,c20,s68).
registration(r231,c41,s68).
registration(r232,c49,s69).
registration(r233,c44,s69).
registration(r234,c9,s69).
registration(r235,c30,s70).
registration(r236,c61,s70).
registration(r237,c8,s70).
registration(r238,c31,s71).
registration(r239,c8,s71).
registration(r240,c20,s71).
registration(r241,c18,s71).
registration(r242,c38,s71).
registration(r243,c37,s72).
registration(r244,c0,s72).
registration(r245,c62,s72).
registration(r246,c47,s73).
registration(r247,c53,s73).
registration(r248,c41,s73).
registration(r249,c62,s73).
registration(r250,c16,s74).
registration(r251,c31,s74).
registration(r252,c48,s74).
registration(r253,c11,s74).
registration(r254,c43,s75).
registration(r255,c26,s75).
registration(r256,c22,s75).
registration(r257,c40,s76).
registration(r258,c31,s76).
registration(r259,c2,s76).
registration(r260,c7,s77).
registration(r261,c3,s77).
registration(r262,c63,s77).
registration(r263,c0,s78).
registration(r264,c43,s78).
registration(r265,c57,s78).
registration(r266,c46,s79).
registration(r267,c32,s79).
registration(r268,c1,s79).
registration(r269,c18,s80).
registration(r270,c17,s80).
registration(r271,c14,s80).
registration(r272,c8,s81).
registration(r273,c63,s81).
registration(r274,c56,s81).
registration(r275,c28,s82).
registration(r276,c8,s82).
registration(r277,c9,s82).
registration(r278,c61,s83).
registration(r279,c38,s83).
registration(r280,c60,s83).
registration(r281,c38,s84).
registration(r282,c60,s84).
registration(r283,c63,s84).
registration(r284,c25,s85).
registration(r285,c13,s85).
registration(r286,c20,s85).
registration(r287,c52,s85).
registration(r288,c45,s86).
registration(r289,c17,s86).
registration(r290,c2,s86).
registration(r291,c48,s86).
registration(r292,c0,s86).
registration(r293,c40,s87).
registration(r294,c44,s87).
registration(r295,c41,s87).
registration(r296,c53,s87).
registration(r297,c37,s88).
registration(r298,c47,s88).
registration(r299,c48,s88).
registration(r300,c44,s89).
registration(r301,c32,s89).
registration(r302,c18,s89).
registration(r303,c50,s90).
registration(r304,c26,s90).
registration(r305,c58,s90).
registration(r306,c45,s90).
registration(r307,c0,s91).
registration(r308,c35,s91).
registration(r309,c4,s91).
registration(r310,c4,s92).
registration(r311,c1,s92).
registration(r312,c49,s92).
registration(r313,c42,s92).
registration(r314,c47,s93).
registration(r315,c48,s93).
registration(r316,c17,s93).
registration(r317,c1,s94).
registration(r318,c18,s94).
registration(r319,c35,s94).
registration(r320,c3,s95).
registration(r321,c0,s95).
registration(r322,c38,s95).
registration(r323,c1,s96).
registration(r324,c30,s96).
registration(r325,c52,s96).
registration(r326,c52,s97).
registration(r327,c18,s97).
registration(r328,c55,s97).
registration(r329,c56,s97).
registration(r330,c8,s98).
registration(r331,c41,s98).
registration(r332,c1,s98).
registration(r333,c49,s98).
registration(r334,c35,s99).
registration(r335,c23,s99).
registration(r336,c18,s99).
registration(r337,c36,s100).
registration(r338,c27,s100).
registration(r339,c6,s100).
registration(r340,c7,s101).
registration(r341,c8,s101).
registration(r342,c3,s101).
registration(r343,c35,s101).
registration(r344,c47,s102).
registration(r345,c57,s102).
registration(r346,c20,s102).
registration(r347,c11,s102).
registration(r348,c41,s103).
registration(r349,c4,s103).
registration(r350,c8,s103).
registration(r351,c9,s104).
registration(r352,c37,s104).
registration(r353,c52,s104).
registration(r354,c12,s104).
registration(r355,c13,s105).
registration(r356,c2,s105).
registration(r357,c38,s105).
registration(r358,c44,s106).
registration(r359,c18,s106).
registration(r360,c62,s106).
registration(r361,c2,s107).
registration(r362,c47,s107).
registration(r363,c35,s107).
registration(r364,c29,s108).
registration(r365,c57,s108).
registration(r366,c1,s108).
registration(r367,c43,s108).
registration(r368,c45,s109).
registration(r369,c13,s109).
registration(r370,c29,s109).
registration(r371,c2,s110).
registration(r372,c16,s110).
registration(r373,c19,s110).
registration(r374,c29,s110).
registration(r375,c13,s111).
registration(r376,c1,s111).
registration(r377,c18,s111).
registration(r378,c36,s112).
registration(r379,c42,s112).
registration(r380,c32,s112).
registration(r381,c17,s113).
registration(r382,c35,s113).
registration(r383,c16,s113).
registration(r384,c11,s114).
registration(r385,c50,s114).
registration(r386,c40,s114).
registration(r387,c22,s115).
registration(r388,c31,s115).
registration(r389,c59,s115).
registration(r390,c62,s116).
registration(r391,c1,s116).
registration(r392,c8,s116).
registration(r393,c30,s116).
registration(r394,c23,s117).
registration(r395,c32,s117).
registration(r396,c56,s117).
registration(r397,c12,s117).
registration(r398,c46,s118).
registration(r399,c47,s118).
registration(r400,c25,s118).
registration(r401,c61,s118).
registration(r402,c44,s119).
registration(r403,c49,s119).
registration(r404,c61,s119).
registration(r405,c38,s120).
registration(r406,c8,s120).
registration(r407,c0,s120).
registration(r408,c60,s121).
registration(r409,c45,s121).
registration(r410,c28,s121).
registration(r411,c37,s122).
registration(r412,c4,s122).
registration(r413,c15,s122).
registration(r414,c28,s122).
registration(r415,c4,s123).
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