# 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_nums_0),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1)),file('i/f/bit/BITS__LOG2__ZERO__ID', ch4s_bits_BITSu_u_LOG2u_u_ZEROu_u_ID)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BITS__LOG2__ZERO__ID', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/BITS__LOG2__ZERO__ID', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/bit/BITS__LOG2__ZERO__ID', aHLu_BOOLu_CASES)).
fof(8, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X6]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X6))),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_numerals_numeralu_u_distribu_c22)).
fof(11, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_numerals_numeralu_u_ltu_c2)).
fof(12, axiom,![X1]:![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X1)))))),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_numerals_numeralu_u_ltu_c5)).
fof(13, axiom,s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2)=s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_log(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_bits_LOG2u_u_def)).
fof(14, axiom,![X7]:![X8]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))))))=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X8)),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_bits_BITSu_u_ZEROL)).
fof(15, axiom,![X1]:![X8]:((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,X8))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_log(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_log(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X1)))))))))))),file('i/f/bit/BITS__LOG2__ZERO__ID', ah4s_logroots_LOG0)).
# SZS output end CNFRefutation
