X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FROB010-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FROB010-1.p.ma;h=ec3632d113795763b04300eec20454a6983b34b6;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/ROB010-1.p.ma b/matita/tests/TPTP/Veloci/ROB010-1.p.ma new file mode 100644 index 000000000..ec3632d11 --- /dev/null +++ b/matita/tests/TPTP/Veloci/ROB010-1.p.ma @@ -0,0 +1,67 @@ + +include "logic/equality.ma". +(* Inclusion of: ROB010-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : ROB010-1 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : Robbins Algebra *) +(* Problem : If -(a + -b) = c then -(c + -(b + a)) = a *) +(* Version : [Win90] (equality) axioms. *) +(* English : *) +(* Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a *) +(* : [LW92] Lusk & Wos (1992), Benchmark Problems in Which Equalit *) +(* Source : [Win90] *) +(* Names : Lemma 3.3 [Win90] *) +(* : RA2 [LW92] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 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 b))) 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 (negate (add c (negate (add b a)))) a +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)