X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FLCL112-2.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FLCL112-2.p.ma;h=bc5a0af03a09cf1d4ccb7191f329ef9111cd7563;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/LCL112-2.p.ma b/matita/tests/TPTP/Veloci/LCL112-2.p.ma new file mode 100644 index 000000000..bc5a0af03 --- /dev/null +++ b/matita/tests/TPTP/Veloci/LCL112-2.p.ma @@ -0,0 +1,72 @@ + +include "logic/equality.ma". +(* Inclusion of: LCL112-2.p *) +(* -------------------------------------------------------------------------- *) +(* File : LCL112-2 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : Logic Calculi (Many valued sentential) *) +(* Problem : MV-29 depends on the Meredith system *) +(* Version : [McC92] axioms. *) +(* Theorem formulation : Wajsberg algebra formulation *) +(* English : An axiomatisation of the many valued sentential calculus *) +(* is {MV-1,MV-2,MV-3,MV-5} by Meredith. Wajsberg presented *) +(* an equality axiomatisation. Show that MV-29 depends on the *) +(* Wajsberg axiomatisation. *) +(* Refs : [FRT84] Font et al. (1984), Wajsberg Algebras *) +(* : [MW92] McCune & Wos (1992), Experiments in Automated Deductio *) +(* : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit *) +(* : [McC92] McCune (1992), Email to G. Sutcliffe *) +(* Source : [McC92] *) +(* Names : MV1.2 [LW92] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.25 v2.0.0 *) +(* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) *) +(* Number of atoms : 5 ( 5 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 : 8 ( 0 singleton) *) +(* Maximal term depth : 4 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* ----Include Wajsberg algebra axioms *) +(* Inclusion of: Axioms/LCL001-0.ax *) +(* -------------------------------------------------------------------------- *) +(* File : LCL001-0 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : Logic Calculi (Wajsberg Algebras) *) +(* Axioms : Wajsberg algebra axioms *) +(* Version : [Bon91] (equality) axioms. *) +(* English : *) +(* Refs : [FRT84] Font et al. (1984), Wajsberg Algebras *) +(* : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic *) +(* : [MW92] McCune & Wos (1992), Experiments in Automated Deductio *) +(* Source : [MW92] *) +(* Names : MV Sentential Calculus [MW92] *) +(* Status : *) +(* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 0 RR) *) +(* Number of literals : 4 ( 4 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 3 ( 1 constant; 0-2 arity) *) +(* Number of variables : 8 ( 0 singleton) *) +(* Maximal term depth : 4 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* -------------------------------------------------------------------------- *) +(* -------------------------------------------------------------------------- *) +theorem prove_mv_29: + \forall Univ:Set. +\forall implies:\forall _:Univ.\forall _:Univ.Univ. +\forall not:\forall _:Univ.Univ. +\forall truth:Univ. +\forall x:Univ. +\forall H0:\forall X:Univ.\forall Y:Univ.eq Univ (implies (implies (not X) (not Y)) (implies Y X)) truth. +\forall H1:\forall X:Univ.\forall Y:Univ.eq Univ (implies (implies X Y) Y) (implies (implies Y X) X). +\forall H2:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (implies (implies X Y) (implies (implies Y Z) (implies X Z))) truth. +\forall H3:\forall X:Univ.eq Univ (implies truth X) X.eq Univ (implies x (not (not x))) truth +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)