# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))),s(t_h4s_nums_num,h4s_nums_0))))<=>?[X3]:?[X4]: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),X3)))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ch4s_quantHeuristicss_LISTu_u_LENGTHu_u_2u_c17)).
fof(30, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))))<=>?[X3]:?[X4]: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),X3)))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_1u_c2)).
fof(42, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', aHLu_FALSITY)).
fof(60, axiom,![X9]:(s(t_bool,f)=s(t_bool,X9)<=>~(p(s(t_bool,X9)))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(69, axiom,![X22]:![X27]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X22)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X27))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_arithmetics_GREATERu_u_DEF)).
fof(72, axiom,![X22]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X22)))=s(t_bool,f),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_numerals_numeralu_u_distribu_c23)).
fof(73, axiom,![X22]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X22))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X22))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_numerals_numeralu_u_distribu_c24)).
fof(75, axiom,![X22]:![X27]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X22))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X27)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X22))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_numerals_numeralu_u_distribu_c25)).
fof(78, axiom,![X28]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,X28)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_arithmetics_SUBu_u_EQUALu_u_0)).
fof(81, axiom,![X27]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,X27)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X27))))),file('i/f/quantHeuristics/LIST__LENGTH__2_c17', ah4s_arithmetics_LESSu_u_0u_u_CASES)).
# SZS output end CNFRefutation
