src/HOL/Tools/atp-inputs/const_comb_inclS.tptp
author mengj
Fri, 30 Jun 2006 12:22:29 +0200
changeset 19969 c72e2110c026
parent 19492 29c6cba140da
permissions -rw-r--r--
Removed some incorrect axioms.
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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 (include S)
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%K P Q --> P
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input_clause(a1,axiom,
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[++equal(hAPP(hAPP(c_COMBK(A,B),P),Q),P)]).
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%S P Q R --> P R (Q R)
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input_clause(a2,axiom,
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[++equal(hAPP(hAPP(hAPP(c_COMBS(A,B,C),P),Q),R),hAPP(hAPP(P,R),hAPP(Q,R)))]).
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%I P --> P
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input_clause(a3,axiom,
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[++equal(hAPP(c_COMBI(T),P),P)]).
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%B P Q R --> P(Q R)
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input_clause(a4,axiom,
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[++equal(hAPP(hAPP(hAPP(c_COMBB(A,B,C),P),Q),R),hAPP(P,hAPP(Q,R)))]).
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%C P Q R --> P R Q
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input_clause(a5,axiom,
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[++equal(hAPP(hAPP(hAPP(c_COMBC(A,B,C),P),Q),R),hAPP(hAPP(P,R),Q))]).
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input_clause(a6,axiom,
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[--hBOOL(hAPP(hAPP(fequal(A),X),Y)),++equal(X,Y)]).
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input_clause(a7,axiom,
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[++hBOOL(hAPP(hAPP(fequal(A),X),Y)),--equal(X,Y)]).
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