# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),h4s_patricias_addu_u_list(s(t_h4s_patricias_ptree(X1),h4s_patricias_empty),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X2)))))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ch4s_patricias_ADDu_u_LISTu_u_TOu_u_EMPTYu_u_ISu_u_PTREE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(19, axiom,![X1]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),h4s_patricias_empty)))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
fof(20, axiom,![X1]:![X3]:![X2]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),X3))))=>p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X1),h4s_patricias_addu_u_list(s(t_h4s_patricias_ptree(X1),X3),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X2))))))),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', ah4s_patricias_ADDu_u_LISTu_u_ISu_u_PTREE)).
fof(21, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/patricia/ADD__LIST__TO__EMPTY__IS__PTREE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
