# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(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,X1))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X1),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,h4s_nums_0)),file('i/f/logroot/LOG__1', ch4s_logroots_LOGu_u_1)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/logroot/LOG__1', aHLu_FALSITY)).
fof(21, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/logroot/LOG__1', ah4s_arithmetics_EXP0u_c0)).
fof(22, axiom,![X13]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X13)))),file('i/f/logroot/LOG__1', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(23, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X13),file('i/f/logroot/LOG__1', ah4s_numerals_numeralu_u_distribu_c1)).
fof(25, axiom,![X13]:![X14]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X13))),file('i/f/logroot/LOG__1', ah4s_arithmetics_LESSu_u_EQ)).
fof(27, axiom,![X12]:![X13]:![X14]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X12)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))),file('i/f/logroot/LOG__1', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(29, axiom,![X13]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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))),file('i/f/logroot/LOG__1', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(31, axiom,![X12]:![X13]:![X1]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,X13))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12)))))))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,X12)),file('i/f/logroot/LOG__1', ah4s_logroots_LOGu_u_UNIQUE)).
fof(32, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X14)))=s(t_h4s_nums_num,X14),file('i/f/logroot/LOG__1', ah4s_arithmetics_MULTu_u_CLAUSESu_c2)).
fof(34, axiom,![X13]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,X13),file('i/f/logroot/LOG__1', ah4s_numerals_numeralu_u_addu_c0)).
fof(35, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/logroot/LOG__1', aHLu_BOOLu_CASES)).
fof(37, axiom,![X13]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))),file('i/f/logroot/LOG__1', ah4s_arithmetics_EXP0u_c1)).
fof(38, axiom,![X13]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14))),file('i/f/logroot/LOG__1', ah4s_arithmetics_MULTu_u_COMM)).
fof(40, axiom,p(s(t_bool,t)),file('i/f/logroot/LOG__1', aHLu_TRUTH)).
fof(42, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/logroot/LOG__1', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
