# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:s(t_h4s_extreals_extreal,happ(s(t_fun(X1,t_h4s_extreals_extreal),X2),s(X1,X3)))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_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_extreals_extreal,h4s_extreals_extrealu_u_sumu_u_image(s(t_fun(X1,t_h4s_extreals_extreal),X2),s(t_fun(X1,t_bool),X4)))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/extreal/EXTREAL__SUM__IMAGE__ZERO', ch4s_extreals_EXTREALu_u_SUMu_u_IMAGEu_u_ZERO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/extreal/EXTREAL__SUM__IMAGE__ZERO', aHLu_TRUTH)).
fof(13, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/extreal/EXTREAL__SUM__IMAGE__ZERO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, axiom,![X3]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/extreal/EXTREAL__SUM__IMAGE__ZERO', ah4s_extreals_mulu_u_rzero)).
fof(27, axiom,![X1]:![X13]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X13))))=>![X14]:![X3]:(![X15]:s(t_h4s_extreals_extreal,happ(s(t_fun(X1,t_h4s_extreals_extreal),X14),s(X1,X15)))=s(t_h4s_extreals_extreal,X3)=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sumu_u_image(s(t_fun(X1,t_h4s_extreals_extreal),X14),s(t_fun(X1,t_bool),X13)))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_mul(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X13))))),s(t_h4s_extreals_extreal,X3))))),file('i/f/extreal/EXTREAL__SUM__IMAGE__ZERO', ah4s_extreals_EXTREALu_u_SUMu_u_IMAGEu_u_FINITEu_u_CONST)).
# SZS output end CNFRefutation
