File: RBA-2.tptp

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% The LADR formulas contain function or predicate symbols
% that are not legal TPTP symbols, and we have replaced those
% symbols with new symbols.  Here is the list of the unaccepted
% symbols and the corresponding replacements.
%
%   (arity 1)        '    tptp0
%   (arity 2)        +    tptp1

cnf(sos,axiom,tptp1(A,B) = tptp1(B,A)).
cnf(sos,axiom,tptp1(tptp1(A,B),C) = tptp1(A,tptp1(B,C))).
cnf(sos,axiom,tptp0(tptp1(tptp0(tptp1(A,B)),tptp0(tptp1(A,tptp0(B))))) = A).
fof(sos,axiom,? [X0] : tptp1(X0,X0) = X0).
fof(goals,conjecture,! [X1] : ! [X2] : tptp1(tptp0(tptp1(X1,tptp0(X2))),tptp0(tptp1(tptp0(X1),tptp0(X2)))) = X2).