TPTP Problem File: COL058-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : COL058-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Combinatory Logic
% Problem : If there's a lark, then there's an egocentric bird.
% Version : Especial.
% English : Suppose we are given a forest that conrtains a lark, and
% we are not given any other information. Prove that at least
% one bird in the forest must be egocentric.
% Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi
% : [GO86] Glickfield & Overbeek (1986), A Foray into Combinatory
% Source : [GO86]
% Names : - [GO86]
% Status : Unsatisfiable
% Rating : 0.05 v8.2.0, 0.08 v8.1.0, 0.15 v7.5.0, 0.12 v7.4.0, 0.17 v7.3.0, 0.11 v7.1.0, 0.06 v7.0.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.0.0
% Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 1 RR)
% Number of literals : 2 ( 2 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% SPC : CNF_UNS_RFO_PEQ_UEQ
% Comments :
%--------------------------------------------------------------------------
%---- There exists a lark
cnf(lark_exists,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)) ).
%---- Hypothesis: There exists a bird x that is fond of itself.
cnf(prove_the_bird_exists,negated_conjecture,
response(X,X) != X ).
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