# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:?[X2]:p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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)))))),file('i/f/integral/REAL__ARCH__POW2', ch4s_integrals_REALu_u_ARCHu_u_POW2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integral/REAL__ARCH__POW2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integral/REAL__ARCH__POW2', aHLu_FALSITY)).
fof(8, axiom,![X2]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))),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,X2)))))),file('i/f/integral/REAL__ARCH__POW2', ah4s_numerals_numeralu_u_ltu_c5)).
fof(9, axiom,![X6]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,X1))))=>?[X2]:p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,X2))))))),file('i/f/integral/REAL__ARCH__POW2', ah4s_integrals_REALu_u_ARCHu_u_POW)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integral/REAL__ARCH__POW2', aHLu_BOOLu_CASES)).
fof(11, axiom,![X2]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),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,X2),s(t_h4s_nums_num,X5))),file('i/f/integral/REAL__ARCH__POW2', ah4s_numerals_numeralu_u_distribu_c22)).
fof(12, axiom,![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integral/REAL__ARCH__POW2', ah4s_numerals_numeralu_u_ltu_c2)).
fof(13, axiom,![X2]:![X5]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X5))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X2))),file('i/f/integral/REAL__ARCH__POW2', ah4s_reals_REALu_u_LT)).
# SZS output end CNFRefutation
