# 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__1_c3', ch4s_quantHeuristicss_LISTu_u_LENGTHu_u_1u_c3)).
fof(26, 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__1_c3', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_1u_c2)).
fof(35, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3e(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),X2))))))<=>s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_COMPAREu_u_1u_c1)).
fof(37, 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__1_c3', ah4s_lists_LENGTHu_u_NIL)).
fof(41, axiom,![X1]:![X23]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))))<=>?[X27]:?[X26]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X27)))=s(t_h4s_nums_num,X23)&s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X27),s(t_h4s_lists_list(X1),X26))))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_quantHeuristicss_LENGTHu_u_LEu_u_NUM)).
fof(43, axiom,![X1]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_lists_LENGTH0u_c0)).
fof(44, axiom,p(s(t_bool,t)),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', aHLu_TRUTH)).
fof(45, axiom,~(p(s(t_bool,f))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', aHLu_FALSITY)).
fof(48, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(64, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(71, axiom,![X23]:![X31]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X23)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X31))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_arithmetics_GREATERu_u_DEF)).
fof(73, axiom,![X23]:![X31]:(~(p(s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X23)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X23))))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_arithmetics_NOTu_u_GREATER)).
fof(74, axiom,![X23]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X23)))=s(t_bool,f),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_numerals_numeralu_u_distribu_c23)).
fof(75, axiom,![X23]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X23))),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,X23))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_numerals_numeralu_u_distribu_c24)).
fof(79, axiom,![X23]:![X31]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X23))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X31)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X23))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_numerals_numeralu_u_distribu_c25)).
fof(81, axiom,![X31]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,X31)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X31))))),file('i/f/quantHeuristics/LIST__LENGTH__1_c3', ah4s_arithmetics_LESSu_u_0u_u_CASES)).
# SZS output end CNFRefutation
