# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,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__0_c2', ch4s_quantHeuristicss_LISTu_u_LENGTHu_u_0u_c2)).
fof(34, 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__0_c2', ah4s_quantHeuristicss_LISTu_u_LENGTHu_u_COMPAREu_u_1u_c1)).
fof(36, axiom,![X1]:s(t_h4s_lists_list(X1),h4s_lists_nil)=s(t_h4s_lists_list(X1),h4s_lists_u_20u_40indu_u_typelist0),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_lists_NIL0)).
fof(37, 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__0_c2', ah4s_lists_LENGTH0u_c0)).
fof(41, axiom,![X26]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X26)))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(50, axiom,![X26]:(~(s(t_h4s_nums_num,X26)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,X26))))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(51, axiom,![X26]:![X29]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X29))),s(t_h4s_nums_num,X26)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X29))),s(t_h4s_nums_num,X26))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_LESSu_u_EQ)).
fof(55, axiom,![X26]:![X29]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X29))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X26)))))))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_LESSu_u_ADDu_u_SUC)).
fof(64, axiom,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_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_ONE)).
fof(68, axiom,![X26]:![X29]:(~(s(t_h4s_nums_num,X29)=s(t_h4s_nums_num,X26))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X29))),s(t_h4s_nums_num,X26))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X26))),s(t_h4s_nums_num,X29)))))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(72, axiom,![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X29)))=s(t_h4s_nums_num,X29),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(73, axiom,![X26]:![X29]:(~(p(s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X26)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X26))))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_NOTu_u_GREATER)).
fof(74, axiom,![X26]:![X29]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X26)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X26))),s(t_h4s_nums_num,X29))),file('i/f/quantHeuristics/LIST__LENGTH__0_c2', ah4s_arithmetics_GREATERu_u_DEF)).
# SZS output end CNFRefutation
