# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/WF__irreflexive', ch4s_relations_WFu_u_irreflexive)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/WF__irreflexive', aHLu_FALSITY)).
fof(23, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X8]:~(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X8))),s(X1,X8)))))),file('i/f/relation/WF__irreflexive', ah4s_relations_irreflexiveu_u_def)).
fof(25, axiom,![X1]:![X18]:![X8]:![X2]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X8))),s(X1,X18))))=>~(s(X1,X8)=s(X1,X18)))),file('i/f/relation/WF__irreflexive', ah4s_relations_WFu_u_NOTu_u_REFL)).
fof(26, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/relation/WF__irreflexive', aHLu_BOOLu_CASES)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/relation/WF__irreflexive', aHLu_TRUTH)).
fof(30, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/relation/WF__irreflexive', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
