# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))&p(s(t_bool,h4s_relations_strongorder(s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(t_fun(X1,t_bool),X2)))))))=>p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/FINITE__StrongOrder__WF', ch4s_predu_u_sets_FINITEu_u_StrongOrderu_u_WF)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/FINITE__StrongOrder__WF', aHLu_TRUTH)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/pred_set/FINITE__StrongOrder__WF', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(t_fun(X1,t_bool),X2)))))=s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(t_fun(X1,t_bool),X2)))))))),file('i/f/pred_set/FINITE__StrongOrder__WF', ah4s_predu_u_sets_FINITEu_u_WFu_u_noloops)).
fof(11, axiom,![X1]:![X3]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X3))))=>s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X3)))=s(t_fun(X1,t_fun(X1,t_bool)),X3)),file('i/f/pred_set/FINITE__StrongOrder__WF', ah4s_relations_transitiveu_u_TCu_u_identity)).
fof(12, axiom,![X16]:![X17]:(p(s(t_bool,h4s_relations_strongorder(s(t_fun(X16,t_fun(X16,t_bool)),X17))))<=>(p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X16,t_fun(X16,t_bool)),X17))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X16,t_fun(X16,t_bool)),X17)))))),file('i/f/pred_set/FINITE__StrongOrder__WF', ah4s_relations_StrongOrder0)).
fof(13, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/FINITE__StrongOrder__WF', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/FINITE__StrongOrder__WF', aHLu_FALSITY)).
# SZS output end CNFRefutation
