# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/SUM__0', aHLu_TRUTH)).
fof(8, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/SUM__0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,X14),file('i/f/real/SUM__0', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(43, axiom,![X4]:![X35]:(![X11]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X35))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_nums_num,X11)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>![X14]:![X11]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X35))))=>s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X11))),s(t_fun(t_h4s_nums_num,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/real/SUM__0', ah4s_reals_SUMu_u_ZERO)).
fof(76, axiom,![X11]:![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X11)))))),file('i/f/real/SUM__0', ah4s_arithmetics_LESSu_u_EQu_u_ADD)).
fof(99, axiom,![X11]:![X14]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X11))),file('i/f/real/SUM__0', ah4s_arithmetics_GREATERu_u_EQ)).
fof(118, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/real/SUM__0', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(133, conjecture,![X24]:(![X26]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X24),s(t_h4s_nums_num,X26)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=>![X11]:![X14]:s(t_h4s_realaxs_real,h4s_reals_sum(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X11))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X24)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/real/SUM__0', ch4s_reals_SUMu_u_0)).
# SZS output end CNFRefutation
