# 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_antisymmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/WF__antisymmetric', ch4s_relations_WFu_u_antisymmetric)).
fof(4, axiom,![X4]:![X5]:![X6]:((p(s(t_bool,X6))<=>s(t_bool,X5)=s(t_bool,X4))<=>((p(s(t_bool,X6))|(p(s(t_bool,X5))|p(s(t_bool,X4))))&((p(s(t_bool,X6))|(~(p(s(t_bool,X4)))|~(p(s(t_bool,X5)))))&((p(s(t_bool,X5))|(~(p(s(t_bool,X4)))|~(p(s(t_bool,X6)))))&(p(s(t_bool,X4))|(~(p(s(t_bool,X5)))|~(p(s(t_bool,X6))))))))),file('i/f/relation/WF__antisymmetric', ah4s_sats_dcu_u_eq)).
fof(13, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X7]:![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,X7))),s(X1,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,X7)))))=>s(X1,X7)=s(X1,X8))),file('i/f/relation/WF__antisymmetric', ah4s_relations_antisymmetricu_u_def)).
fof(14, axiom,![X1]:![X8]:![X7]:![X2]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>(p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X7),s(X1,X8))))=>~(s(X1,X7)=s(X1,X8)))),file('i/f/relation/WF__antisymmetric', ah4s_relations_WFu_u_noloops)).
fof(18, axiom,![X1]:![X8]:![X7]:![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,X7))),s(X1,X8))))=>p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X7),s(X1,X8))))),file('i/f/relation/WF__antisymmetric', ah4s_relations_TCu_u_RULESu_c0)).
fof(19, axiom,![X1]:![X15]:![X8]:![X7]:![X2]:((p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X7),s(X1,X8))))&p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X8),s(X1,X15)))))=>p(s(t_bool,h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X7),s(X1,X15))))),file('i/f/relation/WF__antisymmetric', ah4s_relations_TCu_u_RULESu_c1)).
# SZS output end CNFRefutation
