# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))=>(s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))),file('i/f/logroot/LOG__EQ__0', ch4s_logroots_LOGu_u_EQu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/logroot/LOG__EQ__0', aHLu_TRUTH)).
fof(12, axiom,![X5]:(s(t_bool,t)=s(t_bool,X5)<=>p(s(t_bool,X5))),file('i/f/logroot/LOG__EQ__0', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(14, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/logroot/LOG__EQ__0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(19, axiom,![X12]:![X13]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X13))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X12)))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13)))))))))),file('i/f/logroot/LOG__EQ__0', ah4s_logroots_LOGu_u_RWT)).
fof(20, axiom,![X12]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/logroot/LOG__EQ__0', ah4s_nums_NOTu_u_SUC)).
fof(21, axiom,![X6]:![X3]:![X4]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X4),s(X6,X3)))=s(X6,X4),file('i/f/logroot/LOG__EQ__0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(22, axiom,![X6]:![X3]:![X4]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X4),s(X6,X3)))=s(X6,X3),file('i/f/logroot/LOG__EQ__0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
