# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(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,X1))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),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)))))))))))))=>p(s(t_bool,h4s_reals_realu_u_lte(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_transcs_sin(s(t_h4s_realaxs_real,X1))))))),file('i/f/transc/SIN__POS__PI2__LE', ch4s_transcs_SINu_u_POSu_u_PI2u_u_LE)).
fof(6, axiom,p(s(t_bool,h4s_realaxs_realu_u_lt(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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_transcs_PI2u_u_BOUNDSu_c1)).
fof(7, axiom,![X2]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))<=>(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))|s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X2))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LEu_u_LT)).
fof(9, axiom,![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_nums_0))),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),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)))))))))))=>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_nums_0))),s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,X1))))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_transcs_SINu_u_POS)).
fof(13, 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/transc/SIN__POS__PI2__LE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,![X2]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))=>~(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X2))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(18, axiom,![X2]:![X1]:(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X2)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(19, axiom,![X2]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LTu_u_GT)).
fof(22, axiom,![X2]:![X1]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(23, axiom,![X5]:![X2]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X5)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X5))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(26, axiom,![X10]:![X8]:![X9]:((p(s(t_bool,X9))<=>s(t_bool,X8)=s(t_bool,X10))<=>((p(s(t_bool,X9))|(p(s(t_bool,X8))|p(s(t_bool,X10))))&((p(s(t_bool,X9))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X8)))))&((p(s(t_bool,X8))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X9)))))&(p(s(t_bool,X10))|(~(p(s(t_bool,X8)))|~(p(s(t_bool,X9))))))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_sats_dcu_u_eq)).
fof(32, axiom,![X5]:![X2]:![X1]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X5)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X5))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LTEu_u_TRANS)).
fof(37, axiom,![X17]:![X18]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X18))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X17)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_LE)).
fof(41, axiom,![X1]:s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_transcs_pi)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,X1))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_transcs_SINu_u_PERIODICu_u_PI)).
fof(44, axiom,![X1]:s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_transcs_sin(s(t_h4s_realaxs_real,X1))))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_transcs_SINu_u_NEG)).
fof(46, axiom,s(t_h4s_realaxs_real,h4s_transcs_sin(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_nums_0))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_transcs_SINu_u_PI)).
fof(51, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),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_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(64, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_ADDu_u_LINV)).
fof(77, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,X1),file('i/f/transc/SIN__POS__PI2__LE', ah4s_reals_REALu_u_NEGNEG)).
# SZS output end CNFRefutation
