19717
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%ID: $Id$
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%Author: Jia Meng, NICTA
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%typed combinator reduction for const-types-only (no S)
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clause(
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forall([A, B, P, Q],
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or( equal(hAPP(hAPP(c_COMBK(A,B),P),Q),P))),
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a1 ).
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clause(
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forall([P, T],
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or( equal(hAPP(c_COMBI(T),P),P))),
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a3 ).
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clause(
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forall([A, B, C, P, Q, R],
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or( equal(hAPP(hAPP(hAPP(c_COMBB(A,B,C),P),Q),R),hAPP(P,hAPP(Q,R))))),
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a4 ).
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clause(
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forall([A, B, C, P, Q, R],
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or( equal(hAPP(hAPP(hAPP(c_COMBC(A,B,C),P),Q),R),hAPP(hAPP(P,R),Q)))),
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a5 ).
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clause(
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forall([A, B, T],
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or( not(equal(c_COMBI(T),c_COMBK(A,B))))),
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a6 ).
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clause(
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forall([A, B, C, T],
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or( not(equal(c_COMBI(T),c_COMBB(A,B,C))))),
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a8 ).
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clause(
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forall([A, B, C, T],
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or( not(equal(c_COMBI(T),c_COMBC(A,B,C))))),
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a9 ).
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clause(
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forall([A, A1, B, B1, C1],
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or( not(equal(c_COMBK(A,B),c_COMBB(A1,B1,C1))))),
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a11 ).
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clause(
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forall([A, A2, B, B2, C2],
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or( not(equal(c_COMBK(A,B),c_COMBC(A2,B2,C2))))),
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a12 ).
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clause(
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forall([A1, A2, B1, B2, C1, C2],
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or( not(equal(c_COMBB(A1,B1,C1),c_COMBC(A2,B2,C2))))),
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a15 ).
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clause(
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forall([A, X, Y],
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or( not(hBOOL(hAPP(hAPP(fequal(A),X),Y))),
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equal(X,Y))),
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a16 ).
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clause(
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forall([A, X, Y],
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or( not(equal(X,Y)),
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hBOOL(hAPP(hAPP(fequal(A),X),Y)))),
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a17 ).
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