# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_min(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))=s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_u_min(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))),file('i/f/binary_ieee/float__distinct_c32', ch4s_binaryu_u_ieees_floatu_u_distinctu_c32)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/binary_ieee/float__distinct_c32', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_binaryu_u_ieees_floatu_u_sign(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_u_min(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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/binary_ieee/float__distinct_c32', ah4s_binaryu_u_ieees_floatu_u_componentsu_c15)).
fof(11, axiom,![X2]:![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_u_min(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(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/binary_ieee/float__distinct_c32', ah4s_binaryu_u_ieees_floatu_u_componentsu_c17)).
fof(19, axiom,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_binaryu_u_ieees_floatu_u_sign(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_min(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/float__distinct_c32', ah4s_binaryu_u_ieees_floatu_u_componentsu_c12)).
fof(32, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/float__distinct_c32', aHLu_TRUTH)).
fof(33, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/float__distinct_c32', aHLu_FALSITY)).
fof(38, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/binary_ieee/float__distinct_c32', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(40, axiom,![X17]:![X18]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,X18)),file('i/f/binary_ieee/float__distinct_c32', ah4s_arithmetics_LESSu_u_MOD)).
fof(48, axiom,![X17]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))),file('i/f/binary_ieee/float__distinct_c32', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(49, axiom,![X17]:![X19]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X17)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X19))))),file('i/f/binary_ieee/float__distinct_c32', ah4s_arithmetics_NOTu_u_LEQ)).
fof(50, axiom,![X17]:![X19]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X17)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X19))))),file('i/f/binary_ieee/float__distinct_c32', ah4s_arithmetics_NOTu_u_LESS)).
fof(53, axiom,![X5]:~(s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_n2w(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_fcps_cart(t_bool,X5),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/binary_ieee/float__distinct_c32', ah4s_wordss_wordu_u_Tu_u_notu_u_zero)).
fof(62, axiom,![X5]:![X21]:(s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X5),X21)))=s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))<=>s(t_h4s_fcps_cart(t_bool,X5),X21)=s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/binary_ieee/float__distinct_c32', ah4s_wordss_WORDu_u_NEGu_u_EQu_u_0)).
fof(65, axiom,![X17]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17)))<=>s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/binary_ieee/float__distinct_c32', ah4s_numerals_numeralu_u_distribu_c18)).
fof(67, axiom,![X17]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X19)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X19))))))),file('i/f/binary_ieee/float__distinct_c32', ah4s_numerals_numeralu_u_distribu_c2)).
fof(68, axiom,![X17]:![X19]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X19)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X19))),file('i/f/binary_ieee/float__distinct_c32', ah4s_numerals_numeralu_u_distribu_c22)).
fof(71, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X18),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/binary_ieee/float__distinct_c32', ah4s_arithmetics_MODu_u_1)).
fof(72, axiom,![X17]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))=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,X17))),file('i/f/binary_ieee/float__distinct_c32', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(77, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/binary_ieee/float__distinct_c32', ah4s_numerals_numeralu_u_sucu_c0)).
fof(78, axiom,![X17]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X17),file('i/f/binary_ieee/float__distinct_c32', ah4s_numerals_numeralu_u_addu_c1)).
# SZS output end CNFRefutation
