# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:![X1]:s(t_h4s_patriciau_u_castss_wordu_u_ptree(X7,X8),h4s_patriciau_u_castss_someu_u_ptree(s(t_h4s_patricias_ptree(X8),X1)))=s(t_h4s_patriciau_u_castss_wordu_u_ptree(X7,X8),happ(s(t_fun(t_h4s_patricias_ptree(X8),t_h4s_patriciau_u_castss_wordu_u_ptree(X7,X8)),happ(s(t_fun(t_fun(X7,t_h4s_ones_one),t_fun(t_h4s_patricias_ptree(X8),t_h4s_patriciau_u_castss_wordu_u_ptree(X7,X8))),h4s_patriciau_u_castss_wordu_u_ptree),s(t_fun(X7,t_h4s_ones_one),h4s_combins_k(s(t_h4s_ones_one,h4s_ones_one0))))),s(t_h4s_patricias_ptree(X8),X1))),file('i/f/patricia_casts/THE__PTREE__SOME__PTREE', ah4s_patriciau_u_castss_SOMEu_u_PTREEu_u_def)).
fof(16, axiom,![X7]:![X8]:s(t_fun(t_fun(X7,t_h4s_ones_one),t_fun(t_h4s_patricias_ptree(X8),t_h4s_patriciau_u_castss_wordu_u_ptree(X7,X8))),h4s_patriciau_u_castss_wordu_u_ptree)=s(t_fun(t_fun(X7,t_h4s_ones_one),t_fun(t_h4s_patricias_ptree(X8),t_h4s_patriciau_u_castss_wordu_u_ptree(X7,X8))),h4s_patriciau_u_castss_u_20u_40indu_u_typepatriciau_u_casts0),file('i/f/patricia_casts/THE__PTREE__SOME__PTREE', ah4s_patriciau_u_castss_Wordu_u_ptree0)).
fof(20, axiom,![X8]:![X7]:![X1]:![X28]:s(t_h4s_patricias_ptree(X7),h4s_patriciau_u_castss_theu_u_ptree(s(t_h4s_patriciau_u_castss_wordu_u_ptree(X8,X7),happ(s(t_fun(t_h4s_patricias_ptree(X7),t_h4s_patriciau_u_castss_wordu_u_ptree(X8,X7)),happ(s(t_fun(t_fun(X8,t_h4s_ones_one),t_fun(t_h4s_patricias_ptree(X7),t_h4s_patriciau_u_castss_wordu_u_ptree(X8,X7))),h4s_patriciau_u_castss_wordu_u_ptree),s(t_fun(X8,t_h4s_ones_one),X28))),s(t_h4s_patricias_ptree(X7),X1)))))=s(t_h4s_patricias_ptree(X7),X1),file('i/f/patricia_casts/THE__PTREE__SOME__PTREE', ah4s_patriciau_u_castss_THEu_u_PTREEu_u_def)).
fof(133, conjecture,![X8]:![X7]:![X1]:s(t_h4s_patricias_ptree(X7),h4s_patriciau_u_castss_theu_u_ptree(s(t_h4s_patriciau_u_castss_wordu_u_ptree(X8,X7),h4s_patriciau_u_castss_someu_u_ptree(s(t_h4s_patricias_ptree(X7),X1)))))=s(t_h4s_patricias_ptree(X7),X1),file('i/f/patricia_casts/THE__PTREE__SOME__PTREE', ch4s_patriciau_u_castss_THEu_u_PTREEu_u_SOMEu_u_PTREE)).
# SZS output end CNFRefutation
