# 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,X2),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(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,X2))),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/TWOEXP__MONO', ch4s_bits_TWOEXPu_u_MONO)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bit/TWOEXP__MONO', aHLu_FALSITY)).
fof(6, axiom,![X3]:(~(s(t_h4s_nums_num,X3)=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/TWOEXP__MONO', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(11, axiom,![X6]:((p(s(t_bool,X6))=>p(s(t_bool,f)))<=>s(t_bool,X6)=s(t_bool,f)),file('i/f/bit/TWOEXP__MONO', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(13, axiom,![X3]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))),file('i/f/bit/TWOEXP__MONO', ah4s_primu_u_recs_LESSu_u_0)).
fof(34, axiom,![X4]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X4)))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(35, axiom,![X3]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))))),file('i/f/bit/TWOEXP__MONO', ah4s_numerals_numeralu_u_ltu_c5)).
fof(37, axiom,![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))))=>![X3]:![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_EXPu_u_BASEu_u_LTu_u_MONO)).
fof(39, axiom,![X3]:![X4]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X3)=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,X4)))))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_EXPu_u_EQu_u_0)).
fof(47, axiom,![X12]:![X7]:(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,X7),s(t_h4s_nums_num,X12))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X7))))|s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_ZEROu_u_LTu_u_EXP)).
fof(53, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/bit/TWOEXP__MONO', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(60, axiom,![X3]:![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))),file('i/f/bit/TWOEXP__MONO', ah4s_numerals_numeralu_u_distribu_c22)).
fof(65, axiom,![X3]:![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X3))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_LESSu_u_EQ)).
fof(68, axiom,![X3]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/TWOEXP__MONO', ah4s_numerals_numeralu_u_ltu_c2)).
fof(71, axiom,![X3]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_EXP0u_c1)).
fof(72, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3))),file('i/f/bit/TWOEXP__MONO', ah4s_numerals_numeralu_u_sucu_c1)).
fof(73, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),file('i/f/bit/TWOEXP__MONO', ah4s_numerals_numeralu_u_distribu_c14)).
fof(77, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))=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,X3))),file('i/f/bit/TWOEXP__MONO', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(81, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X3),file('i/f/bit/TWOEXP__MONO', ah4s_numerals_numeralu_u_distribu_c1)).
# SZS output end CNFRefutation
