TPTP Problem File: LCL119-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : LCL119-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Logic Calculi (R)
% Problem : WO depends on XGJ
% Version : [McC92] axioms.
% English : Single axioms for the R calculus are QYF, YQM, WO, all
% by Meredith and XGJ by Winker. Show that WO depends on XGJ.
% Refs : [WW+90] Wos et al. (1990), Automated Reasoning Contributes to
% : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% : [McC92] McCune (1992), Email to G. Sutcliffe
% Source : [McC92]
% Names : RC-1 [WW+90]
% : R-87 [MW92]
% Status : Unsatisfiable
% Rating : 0.36 v8.2.0, 0.29 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.25 v6.2.0, 0.33 v6.1.0, 0.64 v6.0.0, 0.44 v5.5.0, 0.69 v5.4.0, 0.83 v5.3.0, 0.85 v5.2.0, 0.77 v5.1.0, 0.75 v5.0.0, 0.80 v4.1.0, 0.73 v4.0.1, 0.43 v4.0.0, 0.57 v3.7.0, 0.71 v3.4.0, 0.80 v3.3.0, 0.33 v3.1.0, 0.50 v2.6.0, 0.57 v2.5.0, 0.71 v2.4.0, 0.71 v2.3.0, 0.71 v2.2.1, 0.89 v2.2.0, 1.00 v2.0.0
% Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_HRN
% Comments :
%--------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
%----Axiom from Winker
cnf(xgj,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Y,Z)))) ).
%----Axiom from Meredith
cnf(prove_wo,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(b,a)))) ).
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