# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/float/FLOAT__DISTINCT_c8', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/float/FLOAT__DISTINCT_c8', aHLu_FALSITY)).
fof(7, 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/FLOAT__DISTINCT_c8', ah4s_ieees_Iszero0)).
fof(8, axiom,![X7]:s(t_bool,h4s_ieees_isnormal(s(t_h4s_ieees_float,X7)))=s(t_bool,h4s_ieees_isu_u_normal(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/FLOAT__DISTINCT_c8', ah4s_ieees_Isnormal0)).
fof(19, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X14]: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,X14)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X14))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_numerals_numeralu_u_distribu_c21)).
fof(33, axiom,![X14]:![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_arithmetics_LESSu_u_EQ)).
fof(37, axiom,![X14]:![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15)))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(40, axiom,![X14]:![X15]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_arithmetics_NOTu_u_LESS)).
fof(50, axiom,![X7]:![X18]:(p(s(t_bool,h4s_ieees_isu_u_normal(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X18),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),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_ieees_exponent(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X7))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(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_ieees_emax(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X18)))))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_ieees_isu_u_normal0)).
fof(52, axiom,![X14]:![X15]:(~(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X15)))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(54, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(58, axiom,![X7]:![X18]:(p(s(t_bool,h4s_ieees_isu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X18),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/FLOAT__DISTINCT_c8', ah4s_ieees_isu_u_zero0)).
fof(83, axiom,![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_numerals_numeralu_u_distribu_c8)).
fof(89, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_numerals_numeralu_u_preu_c1)).
fof(91, axiom,![X14]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_numerals_numeralu_u_ltu_c2)).
fof(102, axiom,![X7]:s(t_h4s_nums_num,h4s_ieees_exponent0(s(t_h4s_ieees_float,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)),h4s_ieees_defloat(s(t_h4s_ieees_float,X7))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_ieees_Exponent0)).
fof(122, axiom,![X14]:![X15]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(129, axiom,![X9]:![X10]:![X28]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X28),s(t_bool,X10),s(t_bool,X9))))<=>((~(p(s(t_bool,X28)))|p(s(t_bool,X10)))&(p(s(t_bool,X28))|p(s(t_bool,X9))))),file('i/f/float/FLOAT__DISTINCT_c8', ah4s_bools_CONDu_u_EXPAND)).
fof(133, conjecture,![X7]:~((p(s(t_bool,h4s_ieees_isnormal(s(t_h4s_ieees_float,X7))))&p(s(t_bool,h4s_ieees_iszero(s(t_h4s_ieees_float,X7)))))),file('i/f/float/FLOAT__DISTINCT_c8', ch4s_floats_FLOATu_u_DISTINCTu_c8)).
# SZS output end CNFRefutation
