X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FLDA007-3.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FLDA007-3.p.ma;h=1aeda095a45cd1470bd8a1019bd9e8cc018496d1;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/LDA007-3.p.ma b/matita/tests/TPTP/Veloci/LDA007-3.p.ma new file mode 100644 index 000000000..1aeda095a --- /dev/null +++ b/matita/tests/TPTP/Veloci/LDA007-3.p.ma @@ -0,0 +1,51 @@ + +include "logic/equality.ma". +(* Inclusion of: LDA007-3.p *) +(* -------------------------------------------------------------------------- *) +(* File : LDA007-3 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : LD-Algebras (Embedding algebras) *) +(* Problem : Let g = cr(t). Show that t(tsg) = tt(ts)(tg) *) +(* Version : [Jec93] axioms : Incomplete > Reduced & Augmented > Incomplete. *) +(* English : *) +(* Refs : [Jec93] Jech (1993), LD-Algebras *) +(* Source : [Jec93] *) +(* Names : Problem 8 [Jec93] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.13 v2.0.0 *) +(* Syntax : Number of clauses : 7 ( 0 non-Horn; 7 unit; 6 RR) *) +(* Number of atoms : 7 ( 7 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 9 ( 8 constant; 0-2 arity) *) +(* Number of variables : 3 ( 0 singleton) *) +(* Maximal term depth : 3 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* ----Include Embedding algebra axioms *) +(* include('Axioms/LDA001-0.ax'). *) +(* -------------------------------------------------------------------------- *) +(* ----t(tsk) = tt(ts)(tk), where k=crit(t) *) +theorem prove_equation: + \forall Univ:Set. +\forall f:\forall _:Univ.\forall _:Univ.Univ. +\forall k:Univ. +\forall s:Univ. +\forall t:Univ. +\forall tk:Univ. +\forall ts:Univ. +\forall tsk:Univ. +\forall tt:Univ. +\forall tt_ts:Univ. +\forall H0:eq Univ tsk (f ts k). +\forall H1:eq Univ tk (f t k). +\forall H2:eq Univ tt_ts (f tt ts). +\forall H3:eq Univ ts (f t s). +\forall H4:eq Univ tt (f t t). +\forall H5:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f t tsk) (f tt_ts tk) +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)