# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_realaxs_real,h4s_transcs_cos(s(t_h4s_realaxs_real,h4s_transcs_pi)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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))))))))),file('i/f/transc/COS__PI', ch4s_transcs_COSu_u_PI)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/transc/COS__PI', aHLu_FALSITY)).
fof(8, axiom,![X5]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/transc/COS__PI', ah4s_numerals_numeralu_u_distribu_c17)).
fof(9, axiom,![X5]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/transc/COS__PI', ah4s_numerals_numeralu_u_equ_c3)).
fof(10, axiom,![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/transc/COS__PI', ah4s_reals_REALu_u_MULu_u_LZERO)).
fof(11, axiom,![X5]:![X6]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X6)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X5)))<=>s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,X5)),file('i/f/transc/COS__PI', ah4s_reals_REALu_u_INJ)).
fof(12, axiom,![X4]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X4))),file('i/f/transc/COS__PI', ah4s_reals_REALu_u_SUBu_u_LZERO)).
fof(13, axiom,![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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,X4)))=s(t_h4s_realaxs_real,X4),file('i/f/transc/COS__PI', ah4s_reals_REALu_u_MULu_u_LID)).
fof(14, axiom,![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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_realaxs_real,X4))),file('i/f/transc/COS__PI', ah4s_reals_REALu_u_DOUBLE)).
fof(15, axiom,![X3]:![X4]:(~(s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3)))))=s(t_h4s_realaxs_real,X4)),file('i/f/transc/COS__PI', ah4s_reals_REALu_u_DIVu_u_LMUL)).
fof(16, axiom,s(t_h4s_realaxs_real,h4s_transcs_cos(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_pi),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_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/transc/COS__PI', ah4s_transcs_COSu_u_PI2)).
fof(17, axiom,s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_pi),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_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))))))),file('i/f/transc/COS__PI', ah4s_transcs_SINu_u_PI2)).
fof(18, axiom,![X3]:![X4]:s(t_h4s_realaxs_real,h4s_transcs_cos(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_transcs_cos(s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,h4s_transcs_cos(s(t_h4s_realaxs_real,X3))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,X3))))))),file('i/f/transc/COS__PI', ah4s_transcs_COSu_u_ADD)).
# SZS output end CNFRefutation
