# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))<=>s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ch4s_quantHeuristicss_LISTu_u_LENGTHu_u_COMPAREu_u_1u_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', aHLu_FALSITY)).
fof(11, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(25, axiom,![X1]:![X2]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_lists_LENGTHu_u_NIL)).
fof(27, axiom,![X14]:![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_arithmetics_LESSu_u_EQ)).
fof(28, axiom,![X14]:![X15]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_arithmetics_NOTu_u_LESS)).
fof(30, axiom,![X14]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X14))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(33, axiom,![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(34, axiom,![X14]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(39, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/quantHeuristics/LIST__LENGTH__COMPARE__1_c0', ah4s_numerals_numeralu_u_distribu_c1)).
# SZS output end CNFRefutation
