# 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,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,X1)))))),file('i/f/bit/ZERO__LT__TWOEXP', ch4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bit/ZERO__LT__TWOEXP', aHLu_FALSITY)).
fof(12, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(19, axiom,![X1]:![X3]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_nums_0)<=>(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,h4s_nums_0),s(t_h4s_nums_num,X3)))))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_EXPu_u_EQu_u_0)).
fof(39, axiom,![X1]:![X3]:(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X1)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(40, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,h4s_nums_0)),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(49, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(50, axiom,![X1]:![X3]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),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,X3))))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(53, axiom,![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_LESSu_u_EQu_u_SUCu_u_REFL)).
fof(61, 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/ZERO__LT__TWOEXP', ah4s_numerals_numeralu_u_ltu_c2)).
fof(62, axiom,![X1]:![X3]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X1))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_LESSu_u_EQ)).
fof(65, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),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/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_EXP0u_c0)).
fof(72, axiom,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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_TWO)).
fof(80, axiom,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_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bit/ZERO__LT__TWOEXP', ah4s_arithmetics_ONE)).
# SZS output end CNFRefutation
