# 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,X2),s(t_h4s_realaxs_real,X1)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_transcs_root(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,h4s_transcs_root(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_realaxs_real,X1))))))),file('i/f/transc/ROOT__MONO__LE', ch4s_transcs_ROOTu_u_MONOu_u_LE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/transc/ROOT__MONO__LE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/transc/ROOT__MONO__LE', aHLu_FALSITY)).
fof(14, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/transc/ROOT__MONO__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(29, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_reals_realu_u_lte(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/transc/ROOT__MONO__LE', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(30, axiom,![X14]:![X1]:![X2]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),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,X14)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X14))))),file('i/f/transc/ROOT__MONO__LE', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(31, axiom,![X1]:![X2]:![X3]:((~(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0))&(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,X3))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,X3))))))),file('i/f/transc/ROOT__MONO__LE', ah4s_reals_REALu_u_POWu_u_LT2)).
fof(32, axiom,![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))))=>s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_transcs_root(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),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,X2)),file('i/f/transc/ROOT__MONO__LE', ah4s_transcs_ROOTu_u_POWu_u_POS)).
fof(33, axiom,![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,h4s_transcs_root(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_realaxs_real,X2))))))),file('i/f/transc/ROOT__MONO__LE', ah4s_transcs_ROOTu_u_POS)).
fof(34, axiom,![X3]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/transc/ROOT__MONO__LE', ah4s_nums_NOTu_u_SUC)).
fof(35, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/transc/ROOT__MONO__LE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
