# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__MONO__EQ', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/arithmetic/LESS__MONO__EQ', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))))),file('i/f/arithmetic/LESS__MONO__EQ', ah4s_primu_u_recs_LESSu_u_MONO)).
fof(7, axiom,![X7]:![X8]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7))))),file('i/f/arithmetic/LESS__MONO__EQ', ah4s_arithmetics_LESSu_u_MONOu_u_REV)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/arithmetic/LESS__MONO__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(43, axiom,![X7]:![X8]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X8))),file('i/f/arithmetic/LESS__MONO__EQ', ah4s_arithmetics_GREATERu_u_DEF)).
fof(133, conjecture,![X7]:![X8]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7))),file('i/f/arithmetic/LESS__MONO__EQ', ch4s_arithmetics_LESSu_u_MONOu_u_EQ)).
# SZS output end CNFRefutation
