# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_disjoint(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))),s(t_fun(X1,t_h4s_nums_num),X3))))<=>(~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3)))))&p(s(t_bool,h4s_bags_bagu_u_disjoint(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', ch4s_bags_BAGu_u_DISJOINTu_u_BAGu_u_INSERTu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', aHLu_FALSITY)).
fof(3, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(25, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_disjoint(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))<=>![X15]:(~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X15),s(t_fun(X1,t_h4s_nums_num),X4)))))|~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X15),s(t_fun(X1,t_h4s_nums_num),X3))))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', ah4s_bags_BAGu_u_DISJOINTu_u_BAGu_u_IN)).
fof(27, axiom,![X1]:![X20]:![X2]:![X21]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X21))))))<=>(s(X1,X2)=s(X1,X20)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X21)))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(28, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', aHLu_TRUTH)).
fof(31, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
