# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))))<=>?[X3]:?[X4]:?[X5]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X3)))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ch4s_quantHeuristicss_LISTu_u_LENGTHu_u_4u_c32)).
fof(13, axiom,![X9]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,X9),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(25, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))))<=>?[X3]:?[X4]:?[X5]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X3)))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_2u_c4)).
fof(37, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))))<=>?[X3]:?[X4]:?[X5]:?[X19]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X19),s(t_h4s_lists_list(X1),X3)))))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_3u_c2)).
fof(38, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))<=>?[X3]:?[X4]:?[X5]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X3)))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_3u_c19)).
fof(48, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', aHLu_TRUTH)).
fof(49, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', aHLu_FALSITY)).
fof(51, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)<=>p(s(t_bool,X12))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(58, axiom,![X12]:(s(t_bool,X12)=s(t_bool,f)<=>~(p(s(t_bool,X12)))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(68, axiom,![X15]:![X10]:![X11]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X15)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X15))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_LESSu_u_EQu_u_LESSu_u_TRANS)).
fof(69, axiom,![X15]:![X10]:![X11]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X15)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X15))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(70, axiom,![X10]:![X11]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(75, axiom,![X10]:![X11]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_GREATERu_u_EQ)).
fof(76, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X10))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_LESSu_u_EQ)).
fof(79, axiom,![X10]:![X11]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/quantHeuristics/LIST__LENGTH__4_c32', ah4s_arithmetics_LESSu_u_EQu_u_MONO)).
# SZS output end CNFRefutation
