# 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,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,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))))))))),file('i/f/real/POW__POS__LT', ch4s_reals_POWu_u_POSu_u_LT)).
fof(2, 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/real/POW__POS__LT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X7]:![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))))=>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_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7)))))=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,X7)))),file('i/f/real/POW__POS__LT', ah4s_reals_REALu_u_LTu_u_LMULu_u_0)).
fof(14, axiom,![X7]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))))=>~(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X7))),file('i/f/real/POW__POS__LT', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(17, axiom,![X7]:![X1]:(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X7)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/POW__POS__LT', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(18, 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))))=>?[X7]:(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,X7))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/POW__POS__LT', ah4s_reals_REALu_u_DOWN)).
fof(23, axiom,![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))))=>![X2]: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_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,X2))))))),file('i/f/real/POW__POS__LT', ah4s_reals_POWu_u_POS)).
fof(24, axiom,![X2]:![X10]:(~(s(t_h4s_realaxs_real,X10)=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_pow(s(t_h4s_realaxs_real,X10),s(t_h4s_nums_num,X2)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/real/POW__POS__LT', ah4s_reals_POWu_u_NZ)).
fof(28, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,X2))))),file('i/f/real/POW__POS__LT', ah4s_reals_pow0u_c1)).
fof(51, axiom,![X7]:![X1]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X1))))),file('i/f/real/POW__POS__LT', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(55, axiom,![X7]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))))),file('i/f/real/POW__POS__LT', ah4s_reals_REALu_u_LTu_u_IMPu_u_LE)).
# SZS output end CNFRefutation
