# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,X2))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,X1)))))|(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))),s(t_h4s_extreals_extreal,X3)))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3)))))),file('i/f/extreal/add__rdistrib', ch4s_extreals_addu_u_rdistrib)).
fof(5, axiom,![X8]:![X9]:![X10]:((p(s(t_bool,X10))<=>s(t_bool,X9)=s(t_bool,X8))<=>((p(s(t_bool,X10))|(p(s(t_bool,X9))|p(s(t_bool,X8))))&((p(s(t_bool,X10))|(~(p(s(t_bool,X8)))|~(p(s(t_bool,X9)))))&((p(s(t_bool,X9))|(~(p(s(t_bool,X8)))|~(p(s(t_bool,X10)))))&(p(s(t_bool,X8))|(~(p(s(t_bool,X9)))|~(p(s(t_bool,X10))))))))),file('i/f/extreal/add__rdistrib', ah4s_sats_dcu_u_eq)).
fof(15, axiom,![X1]:![X2]:![X3]:(((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,X2))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,X1)))))|(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1)))))),file('i/f/extreal/add__rdistrib', ah4s_extreals_addu_u_ldistrib)).
fof(16, axiom,![X2]:![X3]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2)))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),file('i/f/extreal/add__rdistrib', ah4s_extreals_mulu_u_comm)).
# SZS output end CNFRefutation
