# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(X1,t_h4s_realaxs_real),X2),s(X1,X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=>![X4]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X4))))=>s(t_h4s_realaxs_real,h4s_realu_u_sigmas_realu_u_sumu_u_image(s(t_fun(X1,t_h4s_realaxs_real),X2),s(t_fun(X1,t_bool),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_sigma/REAL__SUM__IMAGE__0', ch4s_realu_u_sigmas_REALu_u_SUMu_u_IMAGEu_u_0)).
fof(12, axiom,![X14]:![X15]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X15))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X14)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))),file('i/f/real_sigma/REAL__SUM__IMAGE__0', ah4s_reals_multu_u_intsu_c0)).
fof(13, axiom,![X1]:![X16]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X16))))=>![X17]:![X3]:(![X6]:s(t_h4s_realaxs_real,happ(s(t_fun(X1,t_h4s_realaxs_real),X17),s(X1,X6)))=s(t_h4s_realaxs_real,X3)=>s(t_h4s_realaxs_real,h4s_realu_u_sigmas_realu_u_sumu_u_image(s(t_fun(X1,t_h4s_realaxs_real),X17),s(t_fun(X1,t_bool),X16)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X16))))),s(t_h4s_realaxs_real,X3))))),file('i/f/real_sigma/REAL__SUM__IMAGE__0', ah4s_realu_u_sigmas_REALu_u_SUMu_u_IMAGEu_u_FINITEu_u_CONST)).
fof(14, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/real_sigma/REAL__SUM__IMAGE__0', ah4s_arithmetics_MULTu_u_0)).
# SZS output end CNFRefutation
