# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(X1,X4))),s(X1,X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(X1,X3))),s(X1,X2)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(X1,X4))),s(X1,X2))))),file('i/f/relation/EQC__TRANS', ch4s_relations_EQCu_u_TRANS)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/EQC__TRANS', aHLu_FALSITY)).
fof(31, axiom,![X1]:![X5]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X5))))<=>![X4]:![X3]:![X2]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X4))),s(X1,X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X3))),s(X1,X2)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X4))),s(X1,X2)))))),file('i/f/relation/EQC__TRANS', ah4s_relations_transitiveu_u_def)).
fof(32, axiom,![X1]:![X5]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X5)))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X5))))))),file('i/f/relation/EQC__TRANS', ah4s_relations_EQCu_u_DEF)).
fof(33, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/relation/EQC__TRANS', aHLu_BOOLu_CASES)).
fof(34, axiom,![X1]:![X5]:p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X5)))))),file('i/f/relation/EQC__TRANS', ah4s_relations_TCu_u_TRANSITIVE)).
fof(35, axiom,![X1]:![X5]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X5))))=>p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X5))))))),file('i/f/relation/EQC__TRANS', ah4s_relations_transitiveu_u_RC)).
fof(36, axiom,p(s(t_bool,t)),file('i/f/relation/EQC__TRANS', aHLu_TRUTH)).
fof(39, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/relation/EQC__TRANS', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
