# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((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,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,X1))))&s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))=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,X3)))))))=>s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)),file('i/f/real/POW__EQ', ch4s_reals_POWu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/POW__EQ', aHLu_TRUTH)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/real/POW__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X2]:(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),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,X2)))))),file('i/f/real/POW__EQ', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(10, axiom,![X1]:![X2]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))=>~(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1))),file('i/f/real/POW__EQ', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(11, axiom,![X1]:![X2]:![X3]:((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,X2))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),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,X3))))))))),file('i/f/real/POW__EQ', ah4s_reals_POWu_u_LT)).
fof(12, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/real/POW__EQ', aHLu_BOOLu_CASES)).
fof(13, axiom,~(p(s(t_bool,f))),file('i/f/real/POW__EQ', aHLu_FALSITY)).
# SZS output end CNFRefutation
