src/HOL/Tools/atp-inputs/const_comb_noS.dfg

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Tools/atp-inputs/const_comb_noS.dfg	Thu May 25 08:07:02 2006 +0200
@@ -0,0 +1,67 @@
+%ID: $Id$
+%Author: Jia Meng, NICTA
+%typed combinator reduction for const-types-only (no S)
+
+clause(
+forall([A, B, P, Q],
+or( equal(hAPP(hAPP(c_COMBK(A,B),P),Q),P))),
+a1 ).
+
+clause(
+forall([P, T],
+or( equal(hAPP(c_COMBI(T),P),P))),
+a3 ).
+
+clause(
+forall([A, B, C, P, Q, R],
+or( equal(hAPP(hAPP(hAPP(c_COMBB(A,B,C),P),Q),R),hAPP(P,hAPP(Q,R))))),
+a4 ).
+
+clause(
+forall([A, B, C, P, Q, R],
+or( equal(hAPP(hAPP(hAPP(c_COMBC(A,B,C),P),Q),R),hAPP(hAPP(P,R),Q)))),
+a5 ).
+
+clause(
+forall([A, B, T],
+or( not(equal(c_COMBI(T),c_COMBK(A,B))))),
+a6 ).
+
+clause(
+forall([A, B, C, T],
+or( not(equal(c_COMBI(T),c_COMBB(A,B,C))))),
+a8 ).
+
+clause(
+forall([A, B, C, T],
+or( not(equal(c_COMBI(T),c_COMBC(A,B,C))))),
+a9 ).
+
+clause(
+forall([A, A1, B, B1, C1],
+or( not(equal(c_COMBK(A,B),c_COMBB(A1,B1,C1))))),
+a11 ).
+
+clause(
+forall([A, A2, B, B2, C2],
+or( not(equal(c_COMBK(A,B),c_COMBC(A2,B2,C2))))),
+a12 ).
+
+clause(
+forall([A1, A2, B1, B2, C1, C2],
+or( not(equal(c_COMBB(A1,B1,C1),c_COMBC(A2,B2,C2))))),
+a15 ).
+
+clause(
+forall([A, X, Y],
+or( not(hBOOL(hAPP(hAPP(fequal(A),X),Y))),
+    equal(X,Y))),
+a16 ).
+
+clause(
+forall([A, X, Y],
+or( not(equal(X,Y)),
+    hBOOL(hAPP(hAPP(fequal(A),X),Y)))),
+a17 ).
+
+