# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_rcdiamond(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>p(s(t_bool,h4s_relations_cr(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/establish__CR_c0', ch4s_relations_establishu_u_CRu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/establish__CR_c0', aHLu_FALSITY)).
fof(20, axiom,![X1]:![X2]:s(t_bool,h4s_relations_cr(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_bool,h4s_relations_diamond(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/establish__CR_c0', ah4s_relations_CRu_u_def)).
fof(25, axiom,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rtc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/establish__CR_c0', ah4s_relations_TCu_u_RCu_u_EQNSu_c1)).
fof(26, axiom,![X1]:![X2]:s(t_bool,h4s_relations_rcdiamond(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_bool,h4s_relations_diamond(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/establish__CR_c0', ah4s_relations_rcdiamondu_u_diamond)).
fof(28, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_diamond(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>p(s(t_bool,h4s_relations_diamond(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2))))))),file('i/f/relation/establish__CR_c0', ah4s_relations_diamondu_u_TCu_u_diamond)).
fof(29, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/relation/establish__CR_c0', aHLu_BOOLu_CASES)).
fof(30, axiom,p(s(t_bool,t)),file('i/f/relation/establish__CR_c0', aHLu_TRUTH)).
fof(33, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/relation/establish__CR_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
