X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FROB009-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FROB009-1.p.ma;h=4dadbbb6a5cdeb9fa62d6b6a1a02e9842cb77af3;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/ROB009-1.p.ma b/matita/tests/TPTP/Veloci/ROB009-1.p.ma new file mode 100644 index 000000000..4dadbbb6a --- /dev/null +++ b/matita/tests/TPTP/Veloci/ROB009-1.p.ma @@ -0,0 +1,65 @@ + +include "logic/equality.ma". +(* Inclusion of: ROB009-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : ROB009-1 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : Robbins Algebra *) +(* Problem : If -(a + -(b + c)) = -(b + -(a + c)) then a = b *) +(* Version : [Win90] (equality) axioms. *) +(* English : *) +(* Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a *) +(* Source : [Win90] *) +(* Names : Lemma 3.2 [Win90] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.50 v2.0.0 *) +(* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 2 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 : 5 ( 3 constant; 0-2 arity) *) +(* Number of variables : 7 ( 0 singleton) *) +(* Maximal term depth : 6 ( 3 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* ----Include axioms for Robbins algebra *) +(* Inclusion of: Axioms/ROB001-0.ax *) +(* -------------------------------------------------------------------------- *) +(* File : ROB001-0 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : Robbins algebra *) +(* Axioms : Robbins algebra axioms *) +(* Version : [Win90] (equality) axioms. *) +(* English : *) +(* Refs : [HMT71] Henkin et al. (1971), Cylindrical Algebras *) +(* : [Win90] Winker (1990), Robbins Algebra: Conditions that make a *) +(* Source : [OTTER] *) +(* Names : Lemma 2.2 [Win90] *) +(* Status : *) +(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR) *) +(* Number of literals : 3 ( 3 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 2 ( 0 constant; 1-2 arity) *) +(* Number of variables : 7 ( 0 singleton) *) +(* Maximal term depth : 6 ( 3 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* -------------------------------------------------------------------------- *) +(* -------------------------------------------------------------------------- *) +theorem prove_result: + \forall Univ:Set. +\forall a:Univ. +\forall add:\forall _:Univ.\forall _:Univ.Univ. +\forall b:Univ. +\forall c:Univ. +\forall negate:\forall _:Univ.Univ. +\forall H0:eq Univ (negate (add a (negate (add b c)))) (negate (add b (negate (add a c)))). +\forall H1:\forall X:Univ.\forall Y:Univ.eq Univ (negate (add (negate (add X Y)) (negate (add X (negate Y))))) X. +\forall H2:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (add (add X Y) Z) (add X (add Y Z)). +\forall H3:\forall X:Univ.\forall Y:Univ.eq Univ (add X Y) (add Y X).eq Univ a b +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)