TPTP Problem File: COL079-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : COL079-1 : TPTP v9.0.0. Released v1.2.0.
% Domain : Combinatory Logic
% Problem : Abst(Abst(Abst X)) = Abst X
% Version : [Jec95] (equality) axioms.
% English :
% Refs : [Jec95] Jech (1995), Otter Experiments in a System of Combinat
% Source : [Jec95]
% Names : Proposition 2a [Jec95]
% Status : Unsatisfiable
% Rating : 0.73 v8.2.0, 0.69 v8.1.0, 0.79 v7.5.0, 0.88 v7.3.0, 0.77 v7.2.0, 0.83 v7.1.0, 0.82 v7.0.0, 0.85 v6.4.0, 0.86 v6.3.0, 0.90 v6.2.0, 0.80 v6.1.0, 0.91 v6.0.0, 0.86 v5.5.0, 0.88 v5.4.0, 0.89 v5.3.0, 0.90 v5.2.0, 0.88 v5.1.0, 1.00 v4.0.0, 0.86 v3.7.0, 0.71 v3.4.0, 0.67 v3.2.0, 0.78 v3.1.0, 0.80 v2.7.0, 1.00 v2.0.0
% Syntax : Number of clauses : 11 ( 9 unt; 1 nHn; 3 RR)
% Number of literals : 13 ( 13 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn)
% SPC : CNF_UNS_RFO_PEQ_NUE
% Comments :
%--------------------------------------------------------------------------
%----Include axioms of Type-respecting combinators
include('Axioms/COL001-0.ax').
%--------------------------------------------------------------------------
cnf(prove_TRC2a,negated_conjecture,
apply(abstraction,apply(abstraction,apply(abstraction,b))) != apply(abstraction,b) ).
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