# 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_nums_0),s(t_h4s_nums_num,X2))))=>(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(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_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))))))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ch4s_arithmetics_EXPu_u_SUBu_u_NUMERAL)).
fof(3, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),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),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(4, axiom,![X5]:![X6]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6)))))=>s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X5)))))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_EXPu_u_SUB)).
fof(5, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(6, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_BIT10)).
fof(7, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_BIT20)).
fof(8, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X7),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(9, axiom,![X2]:![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(10, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_ALTu_u_ZERO)).
fof(11, axiom,p(s(t_bool,t)),file('i/f/arithmetic/EXP__SUB__NUMERAL', aHLu_TRUTH)).
fof(15, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(16, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(17, axiom,![X2]:![X7]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_LESSu_u_EQu_u_MONO)).
fof(19, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X7),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(20, axiom,![X2]:![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/EXP__SUB__NUMERAL', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
