X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FCOL022-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FCOL022-1.p.ma;h=183ea8551b670df247f4d5dede0ceb924c070297;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/COL022-1.p.ma b/matita/tests/TPTP/Veloci/COL022-1.p.ma new file mode 100644 index 000000000..183ea8551 --- /dev/null +++ b/matita/tests/TPTP/Veloci/COL022-1.p.ma @@ -0,0 +1,49 @@ + +include "logic/equality.ma". +(* Inclusion of: COL022-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : COL022-1 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : Combinatory Logic *) +(* Problem : Weak fixed point for B, O, and M *) +(* Version : [WM88] (equality) axioms. *) +(* English : The weak fixed point property holds for the set P consisting *) +(* of the combinators B, O, and M, where ((Bx)y)z = x(yz), *) +(* Mx = xx, (Ox)y = y(xy). *) +(* Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi *) +(* : [MW87] McCune & Wos (1987), A Case Study in Automated Theorem *) +(* : [WM88] Wos & McCune (1988), Challenge Problems Focusing on Eq *) +(* : [MW88] McCune & Wos (1988), Some Fixed Point Problems in Comb *) +(* Source : [MW88] *) +(* Names : - [MW88] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.0.0 *) +(* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 1 RR) *) +(* Number of atoms : 4 ( 4 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 5 ( 4 constant; 0-2 arity) *) +(* Number of variables : 7 ( 0 singleton) *) +(* Maximal term depth : 4 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +theorem prove_fixed_point: + \forall Univ:Set. +\forall apply:\forall _:Univ.\forall _:Univ.Univ. +\forall b:Univ. +\forall combinator:Univ. +\forall m:Univ. +\forall o:Univ. +\forall H0:\forall X:Univ.\forall Y:Univ.eq Univ (apply (apply o X) Y) (apply Y (apply X Y)). +\forall H1:\forall X:Univ.eq Univ (apply m X) (apply X X). +\forall H2:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).\exist Y:Univ.eq Univ Y (apply combinator Y) +. +intros. +exists[ +2: +autobatch paramodulation timeout=100; +try assumption. +| +skip] +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)