# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3)))<=>?[X4]:?[X5]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))=s(t_h4s_nums_num,X2)&s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X5))),s(t_h4s_lists_list(X1),X4))))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ch4s_quantHeuristicss_LISTu_u_LENGTHu_u_COMPAREu_u_SUCu_c3)).
fof(8, axiom,![X16]:~(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_nums_NOTu_u_SUC)).
fof(16, axiom,![X16]:![X23]:(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X16)))<=>s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,X16)),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(23, axiom,![X23]:(s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,h4s_nums_0)|?[X16]:s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X16)))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_arithmetics_numu_u_CASES)).
fof(36, axiom,![X1]:![X11]:![X31]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X31))),s(t_h4s_lists_list(X1),X11)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X11))))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_lists_LENGTH0u_c1)).
fof(38, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))<=>?[X4]:?[X5]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4))))))&s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X5))),s(t_h4s_lists_list(X1),X4))))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_1u_c8)).
fof(48, axiom,![X23]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_arithmetics_ADD1)).
fof(51, axiom,![X16]:![X23]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X16)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X23))),s(t_h4s_nums_num,X16))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_arithmetics_LESSu_u_EQ)).
fof(79, axiom,![X16]:![X23]:(s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,X16)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X16))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X23)))))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__SUC_c3', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
