# 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)),happ(s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(X1,t_fun(X1,t_bool))),h4s_primu_u_recs_measure),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/prim_rec/WF__measure', ch4s_primu_u_recs_WFu_u_measure)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/prim_rec/WF__measure', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prim_rec/WF__measure', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X3,t_fun(X3,t_bool)),X5))))=>p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,X3),t_fun(X1,t_fun(X1,t_bool))),h4s_relations_invu_u_image(s(t_fun(X3,t_fun(X3,t_bool)),X5))),s(t_fun(X1,X3),X4))))))),file('i/f/prim_rec/WF__measure', ah4s_relations_WFu_u_invu_u_image)).
fof(5, axiom,p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c)))),file('i/f/prim_rec/WF__measure', ah4s_primu_u_recs_WFu_u_LESS)).
fof(6, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/prim_rec/WF__measure', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(X1,t_fun(X1,t_bool))),h4s_primu_u_recs_measure)=s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(X1,t_fun(X1,t_bool))),h4s_relations_invu_u_image(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c))),file('i/f/prim_rec/WF__measure', ah4s_primu_u_recs_measureu_u_def)).
# SZS output end CNFRefutation
