CProgol Version 4.4 |- yes [:- set(verbose,2)? - Time taken 0.00s] |- [:- set(h,10000)? - Time taken 0.00s] [:- set(r,1000000)? - Time taken 0.00s] [:- set(i,5)? - Time taken 0.00s] [:- set(c,5)? - Time taken 0.00s] [:- modeh(100,play([+int,+int,+int]))? - Time taken 0.00s] [:- modeh(100,play([+int,+int,+int,+int]))? - Time taken 0.00s] [:- modeh(100,play([+int,+int,+int,+int,+int]))? - Time taken 0.00s] [:- modeb(1,and(+int,+int,-int))? - Time taken 0.00s] [:- modeb(1,or(+int,+int,-int))? - Time taken 0.00s] [:- modeb(1,xor(+int,+int,-int))? - Time taken 0.00s] [Testing for contradictions] [No contradictions found] yes [:- [b]? - Time taken 0.00s] |- [Testing for contradictions] [No contradictions found] yes [:- [example/ex_sampleSize148.pl]? - Time taken 0.00s] |- [Generalising play([7,10,13]).] [Most specific clause is] play([A,B,C]) :- and(A,A,A), and(A,B,D), and(A,C,E), and(B,A, D), and(B,B,B), and(B,C,F), and(C,A,E), and(C,B,F), and(C, C,C), or(A,A,A), or(A,B,G), or(A,C,G), or(B,A,G), or(B, B,B), or(B,C,G), or(C,A,G), or(C,B,G), or(C,C,C), xor(A, A,H), xor(A,B,C), xor(A,C,B), xor(B,A,C), xor(B,B,H), xor(B,C,A), xor(C,A,B), xor(C,B,A), xor(C,C,H), and(A, D,D), and(A,E,E), and(A,F,H), and(A,G,A), and(A,H,H), and(B,D,D), and(B,E,H), and(B,F,F), and(B,G,B), and(B, H,H), and(C,D,H), and(C,E,E), and(C,F,F), and(C,G,C), and(C,H,H), and(D,A,D), and(D,B,D), and(D,C,H), and(D, D,D), and(D,E,H), and(D,F,H), and(D,G,D), and(D,H,H), and(E,A,E), and(E,B,H), and(E,C,E), and(E,D,H), and(E, E,E), and(E,F,H), and(E,G,E), and(E,H,H), and(F,A,H), and(F,B,F), and(F,C,F), and(F,D,H), and(F,E,H), and(F, F,F), and(F,G,F), and(F,H,H), and(G,A,A), and(G,B,B), and(G,C,C), and(G,D,D), and(G,E,E), and(G,F,F), and(G, G,G), and(G,H,H), and(H,A,H), and(H,B,H), and(H,C,H), and(H,D,H), and(H,E,H), and(H,F,H), and(H,G,H), and(H, H,H), or(A,D,A), or(A,E,A), or(A,F,G), or(A,G,G), or(A, H,A), or(B,D,B), or(B,E,G), or(B,F,B), or(B,G,G), or(B, H,B), or(C,D,G), or(C,E,C), or(C,F,C), or(C,G,G), or(C, H,C), or(D,A,A), or(D,B,B), or(D,C,G), or(D,D,D), or(D, E,A), or(D,F,B), or(D,G,G), or(D,H,D), or(E,A,A), or(E, B,G), or(E,C,C), or(E,D,A), or(E,E,E), or(E,F,C), or(E, G,G), or(E,H,E), or(F,A,G), or(F,B,B), or(F,C,C), or(F, D,B), or(F,E,C), or(F,F,F), or(F,G,G), or(F,H,F), or(G, A,G), or(G,B,G), or(G,C,G), or(G,D,G), or(G,E,G), or(G, F,G), or(G,G,G), or(G,H,G), or(H,A,A), or(H,B,B), or(H, C,C), or(H,D,D), or(H,E,E), or(H,F,F), or(H,G,G), or(H, H,H), xor(A,D,E), xor(A,E,D), xor(A,F,G), xor(A,G,F), xor(A,H,A), xor(B,D,F), xor(B,E,G), xor(B,F,D), xor(B, G,E), xor(B,H,B), xor(C,D,G), xor(C,E,F), xor(C,F,E), xor(C,G,D), xor(C,H,C), xor(D,A,E), xor(D,B,F), xor(D, C,G), xor(D,D,H), xor(D,E,A), xor(D,F,B), xor(D,G,C), xor(D,H,D), xor(E,A,D), xor(E,B,G), xor(E,C,F), xor(E, D,A), xor(E,E,H), xor(E,F,C), xor(E,G,B), xor(E,H,E), xor(F,A,G), xor(F,B,D), xor(F,C,E), xor(F,D,B), xor(F, E,C), xor(F,F,H), xor(F,G,A), xor(F,H,F), xor(G,A,F), xor(G,B,E), xor(G,C,D), xor(G,D,C), xor(G,E,B), xor(G, F,A), xor(G,G,H), xor(G,H,G), xor(H,A,A), xor(H,B,B), xor(H,C,C), xor(H,D,D), xor(H,E,E), xor(H,F,F), xor(H, G,G), xor(H,H,H). [C:-2,3,3,0 play([A,B,C]).] [C:-5,3,3,0 play([A,B,C]) :- and(A,A,A).] [C:-5,3,3,0 play([A,B,C]) :- and(A,A,D).] [C:-5,3,3,0 play([A,B,C]) :- and(A,B,D).] [C:-5,3,3,0 play([A,B,C]) :- and(A,C,D).] [C:-5,3,3,0 play([A,B,C]) :- and(B,A,D).] [C:-5,3,3,0 play([A,B,C]) :- and(B,B,B).] [C:-5,3,3,0 play([A,B,C]) :- and(B,B,D).] [C:-5,3,3,0 play([A,B,C]) :- and(B,C,D).] [C:-5,3,3,0 play([A,B,C]) :- and(C,A,D).] [C:-5,3,3,0 play([A,B,C]) :- and(C,B,D).] [C:-5,3,3,0 play([A,B,C]) :- and(C,C,C).] [C:-5,3,3,0 play([A,B,C]) :- and(C,C,D).] [C:-5,3,3,0 play([A,B,C]) :- or(A,A,A).] [C:-5,3,3,0 play([A,B,C]) :- or(A,A,D).] [C:-5,3,3,0 play([A,B,C]) :- or(A,B,D).] [C:-5,3,3,0 play([A,B,C]) :- or(A,C,D).] [C:-5,3,3,0 play([A,B,C]) :- or(B,A,D).] [C:-5,3,3,0 play([A,B,C]) :- or(B,B,B).] [C:-5,3,3,0 play([A,B,C]) :- or(B,B,D).] [C:-5,3,3,0 play([A,B,C]) :- or(B,C,D).] [C:-5,3,3,0 play([A,B,C]) :- or(C,A,D).] [C:-5,3,3,0 play([A,B,C]) :- or(C,B,D).] [C:-5,3,3,0 play([A,B,C]) :- or(C,C,C).] [C:-5,3,3,0 play([A,B,C]) :- or(C,C,D).] [C:-5,3,3,0 play([A,B,C]) :- xor(A,A,D).] [C:2,3,0,0 play([A,B,C]) :- xor(A,B,C).] [C:-5,3,3,0 play([A,B,C]) :- xor(A,B,D).] [C:2,3,0,0 play([A,B,C]) :- xor(A,C,B).] [C:-5,3,3,0 play([A,B,C]) :- xor(A,C,D).] [C:2,3,0,0 play([A,B,C]) :- xor(B,A,C).] [C:-5,3,3,0 play([A,B,C]) :- xor(B,A,D).] [C:-5,3,3,0 play([A,B,C]) :- xor(B,B,D).] [C:2,3,0,0 play([A,B,C]) :- xor(B,C,A).] [C:-5,3,3,0 play([A,B,C]) :- xor(B,C,D).] [C:2,3,0,0 play([A,B,C]) :- xor(C,A,B).] [C:-5,3,3,0 play([A,B,C]) :- xor(C,A,D).] [C:2,3,0,0 play([A,B,C]) :- xor(C,B,A).] [C:-5,3,3,0 play([A,B,C]) :- xor(C,B,D).] [C:-5,3,3,0 play([A,B,C]) :- xor(C,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(A,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(A,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(B,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(B,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(C,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(C,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,A,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,A,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,B,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,B,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), and(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(A,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(A,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(B,D,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(B,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(C,D,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,A,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,B,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,C,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), or(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(A,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(A,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(B,D,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(B,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(C,D,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,A,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,B,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,C,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,C,D), xor(D,D,D).] [C:0,3,0,0 play([A,B,C]) :- xor(B,B,D), xor(B,C,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(B,C,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,B,D), xor(C,A,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(C,A,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,B,D), xor(C,B,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(C,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(C,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(C,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(A,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(A,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(B,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(B,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(C,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(C,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,A,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,A,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,B,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,B,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,C,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), and(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(A,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(A,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(B,D,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(B,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(C,D,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,A,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,B,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,C,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), or(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(A,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(A,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(B,D,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(B,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(C,D,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,A,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,B,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,C,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,B,D), xor(D,D,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,B,D), xor(C,C,E).] [C:0,3,0,0 play([A,B,C]) :- xor(C,A,D), xor(C,B,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,A,D), xor(C,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,A,D), xor(C,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,A,D), xor(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(C,A,D), xor(C,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(B,B,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,A,D), xor(B,C,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(B,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(B,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(B,D,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,A,D), xor(C,A,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(D,A,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(C,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(D,A,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,A,D), xor(C,B,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(D,B,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(C,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(D,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(C,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(D,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,A,D), xor(D,D,E).] [C:0,3,0,0 play([A,B,C]) :- xor(A,C,D), xor(B,A,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(B,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(D,A,C).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(D,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(B,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(D,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(B,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(D,D,E).] [C:0,3,0,0 play([A,B,C]) :- xor(A,C,D), xor(B,C,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(D,C,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(B,C,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(D,C,E).] [C:0,3,0,0 play([A,B,C]) :- xor(A,C,D), xor(C,A,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(C,A,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(C,A,E).] [C:0,3,0,0 play([A,B,C]) :- xor(A,C,D), xor(C,B,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(C,D,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(C,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(C,D,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(A,C,D), xor(C,C,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,C,D), xor(C,A,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,C,D), xor(C,A,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,C,D), xor(C,D,B).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,C,D), xor(C,D,E).] [C:0,3,0,0 play([A,B,C]) :- xor(B,C,D), xor(C,B,A).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,C,D), xor(C,B,D).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,C,D), xor(C,B,E).] [C:-7,3,3,0 play([A,B,C]) :- xor(B,C,D), xor(C,C,E).] [183 explored search nodes] f=2,p=3,n=0,h=0 [Result of search is] play([A,B,C]) :- xor(A,B,C). [3 redundant clauses retracted] [Generalising play([3,4,13,10]).] [Most specific clause is] play([A,B,C,D]) :- and(A,A,A), and(A,B,E), and(A,C,F), and(A, D,G), and(B,A,E), and(B,B,B), and(B,C,B), and(B,D,E), and(C,A,F), and(C,B,B), and(C,C,C), and(C,D,H), and(D, A,G), and(D,B,E), and(D,C,H), and(D,D,D), or(A,A,A), or(A,B,I), or(A,C,J), or(A,D,K), or(B,A,I), or(B,B,B), or(B,C,C), or(B,D,L), or(C,A,J), or(C,B,C), or(C,C,C), or(C,D,J), or(D,A,K), or(D,B,L), or(D,C,J), or(D,D,D), xor(A,A,E), xor(A,B,I), xor(A,C,L), xor(A,D,M), xor(B, A,I), xor(B,B,E), xor(B,C,M), xor(B,D,L), xor(C,A,L), xor(C,B,M), xor(C,C,E), xor(C,D,I), xor(D,A,M), xor(D, B,L), xor(D,C,I), xor(D,D,E), and(A,E,E), and(A,G,G), and(A,F,F), and(A,H,E), and(A,I,A), and(A,K,A), and(A, J,A), and(A,L,G), and(A,M,F), and(B,E,E), and(B,G,E), and(B,F,E), and(B,H,E), and(B,I,B), and(B,K,E), and(B, J,B), and(B,L,B), and(B,M,E), and(C,E,E), and(C,G,E), and(C,F,F), and(C,H,H), and(C,I,N), and(C,K,M), and(C, J,C), and(C,L,O), and(C,M,M), and(D,E,E), and(D,G,G), and(D,F,E), and(D,H,H), and(D,I,G), and(D,K,D), and(D, J,D), and(D,L,D), and(D,M,H), and(E,A,E), and(E,B,E), and(E,C,E), and(E,D,E), and(E,E,E), and(E,G,E), and(E, F,E), and(E,H,E), and(E,I,E), and(E,K,E), and(E,J,E), and(E,L,E), and(E,M,E), and(G,A,G), and(G,B,E), and(G, C,E), and(G,D,G), and(G,E,E), and(G,G,G), and(G,F,E), and(G,H,E), and(G,I,G), and(G,K,G), and(G,J,G), and(G, L,G), and(G,M,E), and(F,A,F), and(F,B,E), and(F,C,F), and(F,D,E), and(F,E,E), and(F,G,E), and(F,F,F), and(F, H,E), and(F,I,F), and(F,K,F), and(F,J,F), and(F,L,E), and(F,M,F), and(H,A,E), and(H,B,E), and(H,C,H), and(H, D,H), and(H,E,E), and(H,G,E), and(H,F,E), and(H,H,H), and(H,I,E), and(H,K,H), and(H,J,H), and(H,L,H), and(H, M,H), and(I,A,A), and(I,B,B), and(I,C,N), and(I,D,G), and(I,E,E), and(I,G,G), and(I,F,F), and(I,H,E), and(I, I,I), and(I,K,A), and(I,J,I), and(I,L,P), and(I,M,F), and(K,A,A), and(K,B,E), and(K,C,M), and(K,D,D), and(K, E,E), and(K,G,G), and(K,F,F), and(K,H,H), and(K,I,A), and(K,K,K), and(K,J,K), and(K,L,D), and(K,M,M), and(J, A,A), and(J,B,B), and(J,C,C), and(J,D,D), and(J,E,E), and(J,G,G), and(J,F,F), and(J,H,H), and(J,I,I), and(J, K,K), and(J,J,J), and(J,L,L), and(J,M,M), and(L,A,G), and(L,B,B), and(L,C,O), and(L,D,D), and(L,E,E), and(L, G,G), and(L,F,E), and(L,H,H), and(L,I,P), and(L,K,D), and(L,J,L), and(L,L,L), and(L,M,H), and(M,A,F), and(M, B,E), and(M,C,M), and(M,D,H), and(M,E,E), and(M,G,E), and(M,F,F), and(M,H,H), and(M,I,F), and(M,K,M), and(M, J,M), and(M,L,H), and(M,M,M), or(A,E,A), or(A,G,A), or(A, F,A), or(A,H,K), or(A,I,I), or(A,K,K), or(A,J,J), or(A, L,J), or(A,M,K), or(B,E,B), or(B,G,P), or(B,F,N), or(B, H,O), or(B,I,I), or(B,K,J), or(B,J,J), or(B,L,L), or(B, M,C), or(C,E,C), or(C,G,J), or(C,F,C), or(C,H,C), or(C, I,J), or(C,K,J), or(C,J,J), or(C,L,J), or(C,M,C), or(D, E,D), or(D,G,D), or(D,F,K), or(D,H,D), or(D,I,J), or(D, K,K), or(D,J,J), or(D,L,L), or(D,M,K), or(E,A,A), or(E, B,B), or(E,C,C), or(E,D,D), or(E,E,E), or(E,G,G), or(E, F,F), or(E,H,H), or(E,I,I), or(E,K,K), or(E,J,J), or(E, L,L), or(E,M,M), or(G,A,A), or(G,B,P), or(G,C,J), or(G, D,D), or(G,E,G), or(G,G,G), or(G,F,A), or(G,H,D), or(G, I,I), or(G,K,K), or(G,J,J), or(G,L,L), or(G,M,K), or(F, A,A), or(F,B,N), or(F,C,C), or(F,D,K), or(F,E,F), or(F, G,A), or(F,F,F), or(F,H,M), or(F,I,I), or(F,K,K), or(F, J,J), or(F,L,J), or(F,M,M), or(H,A,K), or(H,B,O), or(H, C,C), or(H,D,D), or(H,E,H), or(H,G,D), or(H,F,M), or(H, H,H), or(H,I,J), or(H,K,K), or(H,J,J), or(H,L,L), or(H, M,M), or(I,A,I), or(I,B,I), or(I,C,J), or(I,D,J), or(I, E,I), or(I,G,I), or(I,F,I), or(I,H,J), or(I,I,I), or(I, K,J), or(I,J,J), or(I,L,J), or(I,M,J), or(K,A,K), or(K, B,J), or(K,C,J), or(K,D,K), or(K,E,K), or(K,G,K), or(K, F,K), or(K,H,K), or(K,I,J), or(K,K,K), or(K,J,J), or(K, L,J), or(K,M,K), or(J,A,J), or(J,B,J), or(J,C,J), or(J, D,J), or(J,E,J), or(J,G,J), or(J,F,J), or(J,H,J), or(J, I,J), or(J,K,J), or(J,J,J), or(J,L,J), or(J,M,J), or(L, A,J), or(L,B,L), or(L,C,J), or(L,D,L), or(L,E,L), or(L, G,L), or(L,F,J), or(L,H,L), or(L,I,J), or(L,K,J), or(L, J,J), or(L,L,L), or(L,M,J), or(M,A,K), or(M,B,C), or(M, C,C), or(M,D,K), or(M,E,M), or(M,G,K), or(M,F,M), or(M, H,M), or(M,I,J), or(M,K,K), or(M,J,J), or(M,L,J), or(M, M,M), xor(A,E,A), xor(A,G,F), xor(A,F,G), xor(A,H,K), xor(A,I,B), xor(A,K,H), xor(A,J,O), xor(A,L,C), xor(A, M,D), xor(B,E,B), xor(B,G,P), xor(B,F,N), xor(B,H,O), xor(B,I,A), xor(B,K,J), xor(B,J,K), xor(B,L,D), xor(B, M,C), xor(C,E,C), xor(C,G,J), xor(C,F,O), xor(C,H,N), xor(C,I,D), xor(C,K,P), xor(C,J,G), xor(C,L,A), xor(C, M,B), xor(D,E,D), xor(D,G,H), xor(D,F,K), xor(D,H,G), xor(D,I,C), xor(D,K,F), xor(D,J,N), xor(D,L,B), xor(D, M,A), xor(E,A,A), xor(E,B,B), xor(E,C,C), xor(E,D,D), xor(E,E,E), xor(E,G,G), xor(E,F,F), xor(E,H,H), xor(E, I,I), xor(E,K,K), xor(E,J,J), xor(E,L,L), xor(E,M,M), xor(G,A,F), xor(G,B,P), xor(G,C,J), xor(G,D,H), xor(G, E,G), xor(G,G,E), xor(G,F,A), xor(G,H,D), xor(G,I,N), xor(G,K,M), xor(G,J,C), xor(G,L,O), xor(G,M,K), xor(F, A,G), xor(F,B,N), xor(F,C,O), xor(F,D,K), xor(F,E,F), xor(F,G,A), xor(F,F,E), xor(F,H,M), xor(F,I,P), xor(F, K,D), xor(F,J,L), xor(F,L,J), xor(F,M,H), xor(H,A,K), xor(H,B,O), xor(H,C,N), xor(H,D,G), xor(H,E,H), xor(H, G,D), xor(H,F,M), xor(H,H,E), xor(H,I,J), xor(H,K,A), xor(H,J,I), xor(H,L,P), xor(H,M,F), xor(I,A,B), xor(I, B,A), xor(I,C,D), xor(I,D,C), xor(I,E,I), xor(I,G,N), xor(I,F,P), xor(I,H,J), xor(I,I,E), xor(I,K,O), xor(I, J,H), xor(I,L,M), xor(I,M,L), xor(K,A,H), xor(K,B,J), xor(K,C,P), xor(K,D,F), xor(K,E,K), xor(K,G,M), xor(K, F,D), xor(K,H,A), xor(K,I,O), xor(K,K,E), xor(K,J,B), xor(K,L,N), xor(K,M,G), xor(J,A,O), xor(J,B,K), xor(J, C,G), xor(J,D,N), xor(J,E,J), xor(J,G,C), xor(J,F,L), xor(J,H,I), xor(J,I,H), xor(J,K,B), xor(J,J,E), xor(J, L,F), xor(J,M,P), xor(L,A,C), xor(L,B,D), xor(L,C,A), xor(L,D,B), xor(L,E,L), xor(L,G,O), xor(L,F,J), xor(L, H,P), xor(L,I,M), xor(L,K,N), xor(L,J,F), xor(L,L,E), xor(L,M,I), xor(M,A,D), xor(M,B,C), xor(M,C,B), xor(M, D,A), xor(M,E,M), xor(M,G,K), xor(M,F,H), xor(M,H,F), xor(M,I,L), xor(M,K,G), xor(M,J,P), xor(M,L,I), xor(M, M,E), and(A,N,F), and(A,P,G), and(A,O,E), and(B,N,B), and(B,P,B), and(B,O,B), and(C,N,N), and(C,P,B), and(C, O,O), and(D,N,E), and(D,P,G), and(D,O,H), and(E,N,E), and(E,P,E), and(E,O,E), and(G,N,E), and(G,P,G), and(G, O,E), and(F,N,F), and(F,P,E), and(F,O,E), and(H,N,E), and(H,P,E), and(H,O,H), and(I,N,N), and(I,P,P), and(I, O,B), and(K,N,F), and(K,P,G), and(K,O,H), and(J,N,N), and(J,P,P), and(J,O,O), and(L,N,B), and(L,P,P), and(L, O,O), and(M,N,F), and(M,P,E), and(M,O,H), and(N,A,F), and(N,B,B), and(N,C,N), and(N,D,E), and(N,E,E), and(N, G,E), and(N,F,F), and(N,H,E), and(N,I,N), and(N,K,F), and(N,J,N), and(N,L,B), and(N,M,F), and(N,N,N), and(N, P,B), and(N,O,B), and(P,A,G), and(P,B,B), and(P,C,B), and(P,D,G), and(P,E,E), and(P,G,G), and(P,F,E), and(P, H,E), and(P,I,P), and(P,K,G), and(P,J,P), and(P,L,P), and(P,M,E), and(P,N,B), and(P,P,P), and(P,O,B), and(O, A,E), and(O,B,B), and(O,C,O), and(O,D,H), and(O,E,E), and(O,G,E), and(O,F,E), and(O,H,H), and(O,I,B), and(O, K,H), and(O,J,O), and(O,L,O), and(O,M,H), and(O,N,B), and(O,P,B), and(O,O,O), or(A,N,I), or(A,P,I), or(A,O, J), or(B,N,N), or(B,P,P), or(B,O,O), or(C,N,C), or(C, P,J), or(C,O,C), or(D,N,J), or(D,P,L), or(D,O,L), or(E, N,N), or(E,P,P), or(E,O,O), or(G,N,I), or(G,P,P), or(G, O,L), or(F,N,N), or(F,P,I), or(F,O,C), or(H,N,C), or(H, P,L), or(H,O,O), or(I,N,I), or(I,P,I), or(I,O,J), or(K, N,J), or(K,P,J), or(K,O,J), or(J,N,J), or(J,P,J), or(J, O,J), or(L,N,J), or(L,P,L), or(L,O,L), or(M,N,C), or(M, P,J), or(M,O,C), or(N,A,I), or(N,B,N), or(N,C,C), or(N, D,J), or(N,E,N), or(N,G,I), or(N,F,N), or(N,H,C), or(N, I,I), or(N,K,J), or(N,J,J), or(N,L,J), or(N,M,C), or(N, N,N), or(N,P,I), or(N,O,C), or(P,A,I), or(P,B,P), or(P, C,J), or(P,D,L), or(P,E,P), or(P,G,P), or(P,F,I), or(P, H,L), or(P,I,I), or(P,K,J), or(P,J,J), or(P,L,L), or(P, M,J), or(P,N,I), or(P,P,P), or(P,O,L), or(O,A,J), or(O, B,O), or(O,C,C), or(O,D,L), or(O,E,O), or(O,G,L), or(O, F,C), or(O,H,O), or(O,I,J), or(O,K,J), or(O,J,J), or(O, L,L), or(O,M,C), or(O,N,C), or(O,P,L), or(O,O,O), xor(A, N,P), xor(A,P,N), xor(A,O,J), xor(B,N,F), xor(B,P,G), xor(B,O,H), xor(C,N,H), xor(C,P,K), xor(C,O,F), xor(D, N,J), xor(D,P,O), xor(D,O,P), xor(E,N,N), xor(E,P,P), xor(E,O,O), xor(G,N,I), xor(G,P,B), xor(G,O,L), xor(F, N,B), xor(F,P,I), xor(F,O,C), xor(H,N,C), xor(H,P,L), xor(H,O,B), xor(I,N,G), xor(I,P,F), xor(I,O,K), xor(K, N,L), xor(K,P,C), xor(K,O,I), xor(J,N,D), xor(J,P,M), xor(J,O,A), xor(L,N,K), xor(L,P,H), xor(L,O,G), xor(M, N,O), xor(M,P,J), xor(M,O,N), xor(N,A,P), xor(N,B,F), xor(N,C,H), xor(N,D,J), xor(N,E,N), xor(N,G,I), xor(N, F,B), xor(N,H,C), xor(N,I,G), xor(N,K,L), xor(N,J,D), xor(N,L,K), xor(N,M,O), xor(N,N,E), xor(N,P,A), xor(N, O,M), xor(P,A,N), xor(P,B,G), xor(P,C,K), xor(P,D,O), xor(P,E,P), xor(P,G,B), xor(P,F,I), xor(P,H,L), xor(P, I,F), xor(P,K,C), xor(P,J,M), xor(P,L,H), xor(P,M,J), xor(P,N,A), xor(P,P,E), xor(P,O,D), xor(O,A,J), xor(O, B,H), xor(O,C,F), xor(O,D,P), xor(O,E,O), xor(O,G,L), xor(O,F,C), xor(O,H,B), xor(O,I,K), xor(O,K,I), xor(O, J,A), xor(O,L,G), xor(O,M,N), xor(O,N,M), xor(O,P,D), xor(O,O,E). [C:-10,2,4,0 play([A,B,C,D]).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,A,A).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,B,B).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,C,C).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,D,D).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,A,A).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,B,B).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,C,C).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,D,D).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,D,E).] [57 explored search nodes] f=-0,p=7,n=7,h=0 [No compression] [Generalising play([13,11,4,2]).] [Most specific clause is] play([A,B,C,D]) :- and(A,A,A), and(A,B,E), and(A,C,C), and(A, D,F), and(B,A,E), and(B,B,B), and(B,C,F), and(B,D,D), and(C,A,C), and(C,B,F), and(C,C,C), and(C,D,F), and(D, A,F), and(D,B,D), and(D,C,F), and(D,D,D), or(A,A,A), or(A,B,G), or(A,C,A), or(A,D,G), or(B,A,G), or(B,B,B), or(B,C,G), or(B,D,B), or(C,A,A), or(C,B,G), or(C,C,C), or(C,D,H), or(D,A,G), or(D,B,B), or(D,C,H), or(D,D,D), xor(A,A,F), xor(A,B,H), xor(A,C,E), xor(A,D,G), xor(B, A,H), xor(B,B,F), xor(B,C,G), xor(B,D,E), xor(C,A,E), xor(C,B,G), xor(C,C,F), xor(C,D,H), xor(D,A,G), xor(D, B,E), xor(D,C,H), xor(D,D,F), and(A,F,F), and(A,E,E), and(A,H,C), and(A,G,A), and(B,F,F), and(B,E,E), and(B, H,D), and(B,G,B), and(C,F,F), and(C,E,F), and(C,H,C), and(C,G,C), and(D,F,F), and(D,E,F), and(D,H,D), and(D, G,D), and(F,A,F), and(F,B,F), and(F,C,F), and(F,D,F), and(F,F,F), and(F,E,F), and(F,H,F), and(F,G,F), and(E, A,E), and(E,B,E), and(E,C,F), and(E,D,F), and(E,F,F), and(E,E,E), and(E,H,F), and(E,G,E), and(H,A,C), and(H, B,D), and(H,C,C), and(H,D,D), and(H,F,F), and(H,E,F), and(H,H,H), and(H,G,H), and(G,A,A), and(G,B,B), and(G, C,C), and(G,D,D), and(G,F,F), and(G,E,E), and(G,H,H), and(G,G,G), or(A,F,A), or(A,E,A), or(A,H,G), or(A,G, G), or(B,F,B), or(B,E,B), or(B,H,G), or(B,G,G), or(C, F,C), or(C,E,A), or(C,H,H), or(C,G,G), or(D,F,D), or(D, E,B), or(D,H,H), or(D,G,G), or(F,A,A), or(F,B,B), or(F, C,C), or(F,D,D), or(F,F,F), or(F,E,E), or(F,H,H), or(F, G,G), or(E,A,A), or(E,B,B), or(E,C,A), or(E,D,B), or(E, F,E), or(E,E,E), or(E,H,G), or(E,G,G), or(H,A,G), or(H, B,G), or(H,C,H), or(H,D,H), or(H,F,H), or(H,E,G), or(H, H,H), or(H,G,G), or(G,A,G), or(G,B,G), or(G,C,G), or(G, D,G), or(G,F,G), or(G,E,G), or(G,H,G), or(G,G,G), xor(A, F,A), xor(A,E,C), xor(A,H,B), xor(A,G,D), xor(B,F,B), xor(B,E,D), xor(B,H,A), xor(B,G,C), xor(C,F,C), xor(C, E,A), xor(C,H,D), xor(C,G,B), xor(D,F,D), xor(D,E,B), xor(D,H,C), xor(D,G,A), xor(F,A,A), xor(F,B,B), xor(F, C,C), xor(F,D,D), xor(F,F,F), xor(F,E,E), xor(F,H,H), xor(F,G,G), xor(E,A,C), xor(E,B,D), xor(E,C,A), xor(E, D,B), xor(E,F,E), xor(E,E,F), xor(E,H,G), xor(E,G,H), xor(H,A,B), xor(H,B,A), xor(H,C,D), xor(H,D,C), xor(H, F,H), xor(H,E,G), xor(H,H,F), xor(H,G,E), xor(G,A,D), xor(G,B,C), xor(G,C,B), xor(G,D,A), xor(G,F,G), xor(G, E,H), xor(G,H,E), xor(G,G,F). [C:-10,2,4,0 play([A,B,C,D]).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,A,A).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(A,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,B,B).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(B,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,C,C).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(C,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,D,D).] [C:-14,2,4,0 play([A,B,C,D]) :- and(D,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,A,A).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(A,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,B,B).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(B,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,C,C).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(C,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,D,D).] [C:-14,2,4,0 play([A,B,C,D]) :- or(D,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(A,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(B,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(C,D,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,A,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,B,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,C,E).] [C:-14,2,4,0 play([A,B,C,D]) :- xor(D,D,E).] [57 explored search nodes] f=-0,p=7,n=7,h=0 [No compression] [Generalising play([2,3,3,14,12]).] [Most specific clause is] play([A,B,B,C,D]) :- and(A,A,A), and(A,B,A), and(A,C,A), and(A, D,E), and(B,A,A), and(B,B,B), and(B,C,A), and(B,D,E), and(C,A,A), and(C,B,A), and(C,C,C), and(C,D,D), and(D, A,E), and(D,B,E), and(D,C,D), and(D,D,D), or(A,A,A), or(A,B,B), or(A,C,C), or(A,D,C), or(B,A,B), or(B,B,B), or(B,C,F), or(B,D,F), or(C,A,C), or(C,B,F), or(C,C,C), or(C,D,C), or(D,A,C), or(D,B,F), or(D,C,C), or(D,D,D), xor(A,A,E), xor(A,B,G), xor(A,C,D), xor(A,D,C), xor(B, A,G), xor(B,B,E), xor(B,C,H), xor(B,D,F), xor(C,A,D), xor(C,B,H), xor(C,C,E), xor(C,D,A), xor(D,A,C), xor(D, B,F), xor(D,C,A), xor(D,D,E), and(A,E,E), and(A,F,A), and(A,G,E), and(A,H,E), and(B,E,E), and(B,F,B), and(B, G,G), and(B,H,G), and(C,E,E), and(C,F,C), and(C,G,E), and(C,H,D), and(D,E,E), and(D,F,D), and(D,G,E), and(D, H,D), and(E,A,E), and(E,B,E), and(E,C,E), and(E,D,E), and(E,E,E), and(E,F,E), and(E,G,E), and(E,H,E), and(F, A,A), and(F,B,B), and(F,C,C), and(F,D,D), and(F,E,E), and(F,F,F), and(F,G,G), and(F,H,H), and(G,A,E), and(G, B,G), and(G,C,E), and(G,D,E), and(G,E,E), and(G,F,G), and(G,G,G), and(G,H,G), and(H,A,E), and(H,B,G), and(H, C,D), and(H,D,D), and(H,E,E), and(H,F,H), and(H,G,G), and(H,H,H), or(A,E,A), or(A,F,F), or(A,G,B), or(A,H, F), or(B,E,B), or(B,F,F), or(B,G,B), or(B,H,F), or(C, E,C), or(C,F,F), or(C,G,F), or(C,H,F), or(D,E,D), or(D, F,F), or(D,G,H), or(D,H,H), or(E,A,A), or(E,B,B), or(E, C,C), or(E,D,D), or(E,E,E), or(E,F,F), or(E,G,G), or(E, H,H), or(F,A,F), or(F,B,F), or(F,C,F), or(F,D,F), or(F, E,F), or(F,F,F), or(F,G,F), or(F,H,F), or(G,A,B), or(G, B,B), or(G,C,F), or(G,D,H), or(G,E,G), or(G,F,F), or(G, G,G), or(G,H,H), or(H,A,F), or(H,B,F), or(H,C,F), or(H, D,H), or(H,E,H), or(H,F,F), or(H,G,H), or(H,H,H), xor(A, E,A), xor(A,F,H), xor(A,G,B), xor(A,H,F), xor(B,E,B), xor(B,F,D), xor(B,G,A), xor(B,H,C), xor(C,E,C), xor(C, F,G), xor(C,G,F), xor(C,H,B), xor(D,E,D), xor(D,F,B), xor(D,G,H), xor(D,H,G), xor(E,A,A), xor(E,B,B), xor(E, C,C), xor(E,D,D), xor(E,E,E), xor(E,F,F), xor(E,G,G), xor(E,H,H), xor(F,A,H), xor(F,B,D), xor(F,C,G), xor(F, D,B), xor(F,E,F), xor(F,F,E), xor(F,G,C), xor(F,H,A), xor(G,A,B), xor(G,B,A), xor(G,C,F), xor(G,D,H), xor(G, E,G), xor(G,F,C), xor(G,G,E), xor(G,H,D), xor(H,A,F), xor(H,B,C), xor(H,C,B), xor(H,D,G), xor(H,E,H), xor(H, F,A), xor(H,G,D), xor(H,H,E). [C:0,1,0,0 play([A,B,B,C,D]).] [C:4,2,0,0 play([A,B,C,D,E]).] [2 explored search nodes] f=4,p=2,n=0,h=0 [Result of search is] play([A,B,C,D,E]). [2 redundant clauses retracted] play([3,4,13,10]). play([13,11,4,2]). play([A,B,C]) :- xor(A,B,C). play([A,B,C,D,E]). [Total number of clauses = 4] yes [:- generalise(play/1)? - Time taken 3.00s] |- [False negative:]play([1,4,6,3]). [False negative:]play([1,7,12,10]). [False negative:]play([1,8,4,13]). [False negative:]play([1,10,3,8]). [False negative:]play([1,10,6,13]). [False negative:]play([1,11,8,2]). [False negative:]play([1,14,4,11]). [False negative:]play([2,1,1,2]). [False negative:]play([2,2,2,2]). [False negative:]play([2,2,9,9]). [False negative:]play([2,2,15,15]). [False negative:]play([2,4,9,15]). [False negative:]play([2,5,4,3]). [False negative:]play([2,5,11,12]). [False negative:]play([2,7,1,4]). [False negative:]play([2,8,7,13]). [False negative:]play([2,12,13,3]). [False negative:]play([3,2,2,3]). [False negative:]play([3,2,9,8]). [False negative:]play([3,4,3,4]). [False negative:]play([3,4,14,9]). [False negative:]play([3,5,7,1]). [False negative:]play([3,6,10,15]). [False negative:]play([3,7,1,5]). [False negative:]play([3,9,4,14]). [False negative:]play([3,14,12,1]). [False negative:]play([3,15,6,10]). [False negative:]play([4,2,8,14]). [False negative:]play([4,3,2,5]). [False negative:]play([4,5,6,7]). [False negative:]play([4,5,7,6]). [False negative:]play([4,6,7,5]). [False negative:]play([4,7,14,13]). [False negative:]play([4,10,1,15]). [False negative:]play([4,13,11,2]). [False negative:]play([4,14,1,11]). [False negative:]play([4,14,2,8]). [False negative:]play([4,14,13,7]). [False negative:]play([4,15,6,13]). [False negative:]play([4,15,15,4]). [False negative:]play([5,1,8,12]). [False negative:]play([5,2,8,15]). [False negative:]play([5,3,14,8]). [False negative:]play([5,7,3,1]). [False negative:]play([5,8,2,15]). [False negative:]play([5,9,1,13]). [False negative:]play([5,10,1,14]). [False negative:]play([5,12,10,3]). [False negative:]play([5,13,10,2]). [False negative:]play([5,14,9,2]). [False negative:]play([5,14,14,5]). [False negative:]play([5,15,7,13]). [False negative:]play([6,2,7,3]). [False negative:]play([6,2,12,8]). [False negative:]play([6,2,13,9]). [False negative:]play([6,2,15,11]). [False negative:]play([6,3,13,8]). [False negative:]play([6,4,8,10]). [False negative:]play([6,4,13,15]). [False negative:]play([6,6,14,14]). [False negative:]play([6,7,3,2]). [False negative:]play([6,9,8,7]). [False negative:]play([6,10,3,15]). [False negative:]play([6,10,6,10]). [False negative:]play([6,11,15,2]). [False negative:]play([6,12,7,13]). [False negative:]play([7,1,4,2]). [False negative:]play([7,1,15,9]). [False negative:]play([7,3,9,13]). [False negative:]play([7,4,14,13]). [False negative:]play([7,5,15,13]). [False negative:]play([7,6,11,10]). [False negative:]play([7,6,13,12]). [False negative:]play([7,7,10,10]). [False negative:]play([7,8,1,14]). [False negative:]play([7,9,13,3]). [False negative:]play([7,10,15,2]). [False negative:]play([7,13,8,2]). [False negative:]play([8,1,2,11]). [False negative:]play([8,2,7,13]). [False negative:]play([8,2,12,6]). [False negative:]play([8,4,2,14]). [False negative:]play([8,4,5,9]). [False negative:]play([8,5,1,12]). [False negative:]play([8,6,7,9]). [False negative:]play([8,8,8,8]). [False negative:]play([8,8,9,9]). [False negative:]play([8,9,3,2]). [False negative:]play([8,9,12,13]). [False negative:]play([8,10,15,13]). [False negative:]play([8,12,13,9]). [False negative:]play([8,12,15,11]). [False negative:]play([8,13,12,9]). [False negative:]play([8,14,14,8]). [False negative:]play([9,2,12,7]). [False negative:]play([9,5,14,2]). [False negative:]play([9,11,9,11]). [False negative:]play([9,14,13,10]). [False negative:]play([9,14,15,8]). [False negative:]play([10,1,10,1]). [False negative:]play([10,1,12,7]). [False negative:]play([10,3,15,6]). [False negative:]play([10,4,15,1]). [False negative:]play([10,11,5,4]). [False negative:]play([10,12,8,14]). [False negative:]play([10,13,6,1]). [False negative:]play([10,13,13,10]). [False negative:]play([11,1,9,3]). [False negative:]play([11,2,5,12]). [False negative:]play([11,5,4,10]). [False negative:]play([11,5,13,3]). [False negative:]play([11,7,1,13]). [False negative:]play([11,7,6,10]). [False negative:]play([11,7,9,5]). [False negative:]play([11,9,5,7]). [False negative:]play([11,12,15,8]). [False negative:]play([11,13,2,4]). [False negative:]play([11,13,5,3]). [False negative:]play([11,13,9,15]). [False negative:]play([12,1,5,8]). [False negative:]play([12,2,8,6]). [False negative:]play([12,3,4,11]). [False negative:]play([12,4,5,13]). [False negative:]play([12,4,7,15]). [False negative:]play([12,5,10,3]). [False negative:]play([12,5,15,6]). [False negative:]play([12,6,3,9]). [False negative:]play([12,7,1,10]). [False negative:]play([12,7,6,13]). [False negative:]play([12,7,9,2]). [False negative:]play([12,9,8,13]). [False negative:]play([12,11,8,15]). [False negative:]play([12,15,4,7]). [False negative:]play([12,15,6,5]). [False negative:]play([12,15,12,15]). [False negative:]play([13,1,10,6]). [False negative:]play([13,1,14,2]). [False negative:]play([13,6,2,9]). [False negative:]play([13,8,6,3]). [False negative:]play([13,10,3,4]). [False negative:]play([13,10,5,2]). [False negative:]play([13,11,5,3]). [False negative:]play([13,11,15,9]). [False negative:]play([13,12,2,3]). [False negative:]play([13,12,10,11]). [False negative:]play([13,13,7,7]). [False negative:]play([13,14,2,1]). [False negative:]play([14,2,1,13]). [False negative:]play([14,2,13,1]). [False negative:]play([14,3,5,8]). [False negative:]play([14,3,12,1]). [False negative:]play([14,4,2,8]). [False negative:]play([14,7,6,15]). [False negative:]play([14,7,8,1]). [False negative:]play([14,7,12,5]). [False negative:]play([14,9,11,12]). [False negative:]play([14,10,8,12]). [False negative:]play([15,5,7,13]). [False negative:]play([15,6,1,8]). [False negative:]play([15,7,14,6]). [False negative:]play([15,8,1,6]). [False negative:]play([15,10,2,7]). [False negative:]play([15,11,11,15]). [False negative:]play([15,11,15,11]). [False negative:]play([15,14,4,5]). [False positive:]:- play([1,3,4,14,12]). [False positive:]:- play([1,3,14,1,8]). [False positive:]:- play([1,4,15,8,6]). [False positive:]:- play([1,4,15,15,8]). [False positive:]:- play([1,7,10,6,6]). [False positive:]:- play([1,9,4,2,2]). [False positive:]:- play([1,9,12,7,7]). [False positive:]:- play([1,9,15,3,14]). [False positive:]:- play([1,10,2,8,6]). [False positive:]:- play([1,12,12,14,7]). [False positive:]:- play([2,1,10,5,5]). [False positive:]:- play([2,2,2,10,6]). [False positive:]:- play([2,2,9,9,14]). [False positive:]:- play([2,4,4,4,9]). [False positive:]:- play([2,4,5,13,9]). [False positive:]:- play([2,7,3,2,12]). [False positive:]:- play([2,7,14,2,13]). [False positive:]:- play([2,7,15,9,10]). [False positive:]:- play([2,10,8,6,14]). [False positive:]:- play([2,10,8,7,14]). [False positive:]:- play([2,10,11,5,1]). [False positive:]:- play([2,11,1,14,10]). [False positive:]:- play([2,13,15,14,9]). [False positive:]:- play([2,15,4,4,8]). [False positive:]:- play([3,1,1,13,4]). [False positive:]:- play([3,2,11,7,9]). [False positive:]:- play([3,3,3,15,8]). [False positive:]:- play([3,3,6,14,1]). [False positive:]:- play([3,5,2,12,11]). [False positive:]:- play([3,5,8,7,10]). [False positive:]:- play([3,5,12,4,13]). [False positive:]:- play([3,6,2,1,8]). [False positive:]:- play([3,6,4,15,1]). [False positive:]:- play([3,6,5,3,1]). [False positive:]:- play([3,7,6,9,3]). [False positive:]:- play([3,7,11,1,1]). [False positive:]:- play([3,9,1,4,12]). [False positive:]:- play([3,9,6,2,13]). [False positive:]:- play([3,9,7,5,1]). [False positive:]:- play([3,9,10,9,7]). [False positive:]:- play([3,11,14,13,14]). [False positive:]:- play([3,13,7,10,5]). [False positive:]:- play([3,14,5,4,14]). [False positive:]:- play([3,15,3,4,12]). [False positive:]:- play([4,3,10,15,3]). [False positive:]:- play([4,4,7,8,11]). [False positive:]:- play([4,4,15,7,15]). [False positive:]:- play([4,5,2,7,13]). [False positive:]:- play([4,5,4,10,10]). [False positive:]:- play([4,6,1,13,5]). [False positive:]:- play([4,6,4,1,9]). [False positive:]:- play([4,7,6,2,12]). [False positive:]:- play([4,7,6,4,10]). [False positive:]:- play([4,8,4,10,6]). [False positive:]:- play([4,8,5,2,14]). [False positive:]:- play([4,10,9,14,1]). [False positive:]:- play([4,11,5,8,10]). [False positive:]:- play([4,11,7,2,9]). [False positive:]:- play([4,11,11,5,15]). [False positive:]:- play([4,12,3,9,13]). [False positive:]:- play([4,13,11,3,9]). [False positive:]:- play([4,15,2,3,6]). [False positive:]:- play([4,15,4,14,9]). [False positive:]:- play([4,15,6,5,12]). [False positive:]:- play([5,1,4,15,3]). [False positive:]:- play([5,1,11,12,15]). [False positive:]:- play([5,4,4,2,8]). [False positive:]:- play([5,6,8,11,6]). [False positive:]:- play([5,9,2,4,11]). [False positive:]:- play([5,9,8,12,9]). [False positive:]:- play([5,10,9,14,1]). [False positive:]:- play([5,11,8,7,12]). [False positive:]:- play([5,12,13,13,1]). [False positive:]:- play([5,12,15,3,3]). [False positive:]:- play([5,15,5,9,4]). [False positive:]:- play([6,1,12,12,5]). [False positive:]:- play([6,2,1,12,4]). [False positive:]:- play([6,3,5,4,1]). [False positive:]:- play([6,4,13,7,5]). [False positive:]:- play([6,8,5,11,13]). [False positive:]:- play([6,8,9,8,14]). [False positive:]:- play([6,8,11,6,9]). [False positive:]:- play([6,9,3,12,14]). [False positive:]:- play([6,9,15,10,2]). [False positive:]:- play([6,11,4,13,15]). [False positive:]:- play([6,11,4,15,2]). [False positive:]:- play([6,12,1,2,12]). [False positive:]:- play([6,12,11,14,2]). [False positive:]:- play([7,2,1,10,10]). [False positive:]:- play([7,2,6,11,11]). [False positive:]:- play([7,2,11,5,7]). [False positive:]:- play([7,3,5,4,9]). [False positive:]:- play([7,4,3,12,13]). [False positive:]:- play([7,5,5,12,14]). [False positive:]:- play([7,5,7,12,12]). [False positive:]:- play([7,5,11,3,11]). [False positive:]:- play([7,6,6,13,4]). [False positive:]:- play([7,6,8,9,6]). [False positive:]:- play([7,8,13,3,6]). [False positive:]:- play([7,12,3,8,3]). [False positive:]:- play([8,2,3,3,8]). [False positive:]:- play([8,2,7,15,6]). [False positive:]:- play([8,10,3,3,14]). [False positive:]:- play([8,10,8,3,11]). [False positive:]:- play([8,11,3,1,10]). [False positive:]:- play([8,11,10,9,8]). [False positive:]:- play([8,12,10,15,14]). [False positive:]:- play([8,13,3,2,2]). [False positive:]:- play([8,15,10,14,11]). [False positive:]:- play([9,5,7,3,7]). [False positive:]:- play([9,7,14,1,11]). [False positive:]:- play([9,8,13,13,2]). [False positive:]:- play([9,9,3,4,5]). [False positive:]:- play([9,9,12,12,13]). [False positive:]:- play([9,10,4,2,15]). [False positive:]:- play([9,11,4,15,11]). [False positive:]:- play([9,12,6,1,15]). [False positive:]:- play([9,13,13,8,7]). [False positive:]:- play([9,13,15,4,2]). [False positive:]:- play([9,14,11,5,3]). [False positive:]:- play([9,15,6,4,6]). [False positive:]:- play([10,2,6,5,7]). [False positive:]:- play([10,4,4,6,1]). [False positive:]:- play([10,5,9,14,9]). [False positive:]:- play([10,5,10,3,8]). [False positive:]:- play([10,5,14,15,15]). [False positive:]:- play([10,6,5,14,12]). [False positive:]:- play([10,7,5,14,14]). [False positive:]:- play([10,7,8,10,2]). [False positive:]:- play([10,8,7,9,4]). [False positive:]:- play([10,8,14,3,11]). [False positive:]:- play([10,13,10,6,4]). [False positive:]:- play([10,14,3,5,15]). [False positive:]:- play([10,14,7,7,11]). [False positive:]:- play([10,15,1,10,8]). [False positive:]:- play([10,15,4,9,5]). [False positive:]:- play([11,1,5,7,13]). [False positive:]:- play([11,1,12,1,2]). [False positive:]:- play([11,3,13,4,5]). [False positive:]:- play([11,3,15,7,10]). [False positive:]:- play([11,5,4,12,13]). [False positive:]:- play([11,6,12,11,14]). [False positive:]:- play([11,7,2,15,6]). [False positive:]:- play([11,7,8,2,10]). [False positive:]:- play([11,8,4,2,8]). [False positive:]:- play([11,10,12,10,8]). [False positive:]:- play([11,10,13,6,6]). [False positive:]:- play([11,14,13,14,5]). [False positive:]:- play([11,15,2,4,12]). [False positive:]:- play([11,15,12,11,9]). [False positive:]:- play([11,15,15,7,4]). [False positive:]:- play([12,1,15,5,11]). [False positive:]:- play([12,4,8,2,4]). [False positive:]:- play([12,5,4,10,9]). [False positive:]:- play([12,7,1,10,9]). [False positive:]:- play([12,7,5,5,10]). [False positive:]:- play([12,7,13,11,14]). [False positive:]:- play([12,11,15,10,15]). [False positive:]:- play([12,13,3,4,15]). [False positive:]:- play([12,14,7,4,2]). [False positive:]:- play([12,15,4,8,2]). [False positive:]:- play([13,2,12,3,13]). [False positive:]:- play([13,5,5,1,7]). [False positive:]:- play([13,6,15,3,8]). [False positive:]:- play([13,8,13,9,7]). [False positive:]:- play([13,12,3,5,6]). [False positive:]:- play([13,13,2,1,7]). [False positive:]:- play([14,1,4,10,15]). [False positive:]:- play([14,1,7,1,14]). [False positive:]:- play([14,2,13,7,8]). [False positive:]:- play([14,5,13,2,5]). [False positive:]:- play([14,6,4,13,12]). [False positive:]:- play([14,8,15,1,10]). [False positive:]:- play([14,12,4,3,3]). [False positive:]:- play([14,13,4,13,9]). [False positive:]:- play([15,3,12,9,10]). [False positive:]:- play([15,6,10,7,2]). [False positive:]:- play([15,9,13,4,10]). [False positive:]:- play([15,11,9,4,13]). [False positive:]:- play([15,12,11,14,2]). [False positive:]:- play([15,13,5,3,8]). [False positive:]:- play([15,13,5,6,13]). [False positive:]:- play([15,14,10,2,11]). [PREDICATE play/1] Contingency table= ________A________~A P| 335| 183| 518 |( 259.0)|( 259.0)| ~P| 165| 317| 482 |( 241.0)|( 241.0)| ~~~~~~~~~~~~~~~~~~~ 500 500 1000 [Overall accuracy= 65.20% +/- 1.51%] [Chi-square = 91.32] [Without Yates correction = 92.54] [Chi-square probability = 0.0000] yes [:- test(test_1000)? - Time taken 0.01s] |-