# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', ch4s_arithmetics_LESSu_u_LESSu_u_EQu_u_TRANS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', aHLu_FALSITY)).
fof(13, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', ah4s_arithmetics_LESSu_u_TRANS)).
fof(15, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', aHLu_BOOLu_CASES)).
fof(16, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LESS__LESS__EQ__TRANS', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
# SZS output end CNFRefutation
