X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FCOL084-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FCOL084-1.p.ma;h=8813fc43b2b9ed53d46bd6fa9aaa7440e03dbb09;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/COL084-1.p.ma b/matita/tests/TPTP/Veloci/COL084-1.p.ma new file mode 100644 index 000000000..8813fc43b --- /dev/null +++ b/matita/tests/TPTP/Veloci/COL084-1.p.ma @@ -0,0 +1,46 @@ + +include "logic/equality.ma". +(* Inclusion of: COL084-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : COL084-1 : TPTP v3.1.1. Released v2.6.0. *) +(* Domain : Combinatory Logic *) +(* Problem : Compatible Birds, part 2 *) +(* Version : Especial. *) +(* English : *) +(* Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi *) +(* Source : [TPTP] *) +(* Names : *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.6.0 *) +(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) +(* Number of atoms : 3 ( 3 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 4 ( 2 constant; 0-2 arity) *) +(* Number of variables : 6 ( 2 singleton) *) +(* Maximal term depth : 3 ( 2 average) *) +(* Comments : A UEQ part of COL054-1 *) +(* -------------------------------------------------------------------------- *) +theorem prove_birds_are_compatible_2: + \forall Univ:Set. +\forall b:Univ. +\forall compose:\forall _:Univ.\forall _:Univ.Univ. +\forall mocking_bird:Univ. +\forall response:\forall _:Univ.\forall _:Univ.Univ. +\forall H0:\forall A:Univ.\forall B:Univ.\forall C:Univ.eq Univ (response (compose A B) C) (response A (response B C)). +\forall H1:\forall A:Univ.eq Univ (response mocking_bird A) (response A A).\exist A:Univ.\exist B:Univ.eq Univ (response b B) A +. +intros. +exists[ +2: +exists[ +2: +autobatch paramodulation timeout=100; +try assumption. +| +skip] +| +skip] +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)