# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_relations_idem(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(X1,t_fun(X1,t_bool))),h4s_relations_rc)))),file('i/f/relation/IDEM__RC', ch4s_relations_IDEMu_u_RC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/IDEM__RC', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/IDEM__RC', aHLu_FALSITY)).
fof(7, axiom,![X4]:![X5]:(p(s(t_bool,h4s_relations_idem(s(t_fun(X4,X4),X5))))<=>![X3]:s(X4,happ(s(t_fun(X4,X4),X5),s(X4,happ(s(t_fun(X4,X4),X5),s(X4,X3)))))=s(X4,happ(s(t_fun(X4,X4),X5),s(X4,X3)))),file('i/f/relation/IDEM__RC', ah4s_relations_IDEM0)).
fof(8, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/relation/IDEM__RC', aHLu_BOOLu_CASES)).
fof(10, axiom,![X1]:![X9]:s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(X1,t_fun(X1,t_bool))),h4s_relations_rc),s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(X1,t_fun(X1,t_bool))),h4s_relations_rc),s(t_fun(X1,t_fun(X1,t_bool)),X9)))))=s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(X1,t_fun(X1,t_bool))),h4s_relations_rc),s(t_fun(X1,t_fun(X1,t_bool)),X9))),file('i/f/relation/IDEM__RC', ah4s_relations_RCu_u_IDEM)).
# SZS output end CNFRefutation
