# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_ieees_iszero(s(t_h4s_ieees_float,h4s_ieees_minusu_u_zero)))),file('i/f/float/ZERO__IS__ZERO_c1', ch4s_floats_ZEROu_u_ISu_u_ZEROu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/float/ZERO__IS__ZERO_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/float/ZERO__IS__ZERO_c1', aHLu_FALSITY)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X4]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X5))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_ltu_c5)).
fof(16, axiom,![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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,h4s_arithmetics_zero),s(t_h4s_nums_num,X4))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_distribu_c21)).
fof(17, axiom,![X4]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_distribu_c22)).
fof(18, axiom,![X7]:s(t_bool,h4s_ieees_iszero(s(t_h4s_ieees_float,X7)))=s(t_bool,h4s_ieees_isu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,X7))))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_Iszero0)).
fof(19, axiom,s(t_h4s_ieees_float,h4s_ieees_minusu_u_zero)=s(t_h4s_ieees_float,h4s_ieees_float0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_minusu_u_zero0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format))))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_Minusu_u_zero0)).
fof(21, axiom,![X8]:(p(s(t_bool,h4s_ieees_isu_u_valid(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X8))))<=>s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,h4s_ieees_float0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X8)))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X8)),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_floatu_u_tybiju_c1)).
fof(22, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/float/ZERO__IS__ZERO_c1', aHLu_BOOLu_CASES)).
fof(23, axiom,![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4)))))=s(t_bool,t),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_ltu_c1)).
fof(24, axiom,![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(25, axiom,![X6]:![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_arithmetics_exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X6))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3))))|s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_arithmetics_ZEROu_u_LTu_u_EXP)).
fof(26, axiom,![X9]:![X10]:![X11]:![X12]:(p(s(t_bool,h4s_ieees_isu_u_valid(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X12),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X9),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))&(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),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_ieees_expwidth(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X12))))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),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_ieees_fracwidth(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X12))))))))))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_isu_u_valid0)).
fof(27, axiom,![X4]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_sucu_c1)).
fof(28, axiom,s(t_h4s_nums_num,h4s_nums_suc(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/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_distribu_c13)).
fof(29, axiom,![X4]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_numerals_numeralu_u_distribu_c14)).
fof(30, axiom,![X7]:![X12]:(p(s(t_bool,h4s_ieees_isu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X12),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X7))))<=>(s(t_h4s_nums_num,h4s_ieees_exponent(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X7)))=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,h4s_ieees_fraction(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X7)))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_isu_u_zero0)).
fof(32, axiom,![X12]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_minusu_u_zero0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X12)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(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_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_minusu_u_zero0)).
fof(37, axiom,![X9]:![X10]:![X11]:s(t_h4s_nums_num,h4s_ieees_exponent(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X9),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))))=s(t_h4s_nums_num,X11),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_exponent0)).
fof(38, axiom,![X9]:![X10]:![X11]:s(t_h4s_nums_num,h4s_ieees_fraction(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X9),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))))=s(t_h4s_nums_num,X10),file('i/f/float/ZERO__IS__ZERO_c1', ah4s_ieees_fraction0)).
# SZS output end CNFRefutation
