src/HOL/Tools/atp-inputs/u_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.
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
19492
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     1
%ID: $Id$
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     2
%Author: Jia Meng, NICTA
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     3
%untyped combinator reduction (include S)
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     4
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     5
input_clause(a1,axiom,
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     6
[++equal(hAPP(hAPP(c_COMBK,P),Q),P)]).
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     7
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     8
%S P Q R
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
     9
input_clause(a2,axiom,
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    10
[++equal(hAPP(hAPP(hAPP(c_COMBS,P),Q),R),hAPP(hAPP(P,R),hAPP(Q,R)))]).
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    11
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    12
input_clause(a3,axiom,
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    13
[++equal(hAPP(c_COMBI,P),P)]).
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    14
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    15
%B P Q R --> P(Q R)
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    16
input_clause(a4,axiom,
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    17
[++equal(hAPP(hAPP(hAPP(c_COMBB,P),Q),R),hAPP(P,hAPP(Q,R)))]).
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    18
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    19
%C P Q R --> P R Q
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    20
input_clause(a5,axiom,
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    21
[++equal(hAPP(hAPP(hAPP(c_COMBC,P),Q),R),hAPP(hAPP(P,R),Q))]).
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    22
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    23
input_clause(a6,axiom,
19969
c72e2110c026 Removed some incorrect axioms.
mengj
parents: 19492
diff changeset
    24
[--hBOOL(hAPP(hAPP(fequal,X),Y)),++equal(X,Y)]).
19492
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    25
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    26
input_clause(a7,axiom,
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    27
[++hBOOL(hAPP(hAPP(fequal,X),Y)),--equal(X,Y)]).
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    28
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    29
29c6cba140da added some helper files for HOL goals/lemmas. Clauses have TPTP format.
mengj
parents:
diff changeset
    30