# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_quotes_varmapu_u_find(s(t_h4s_quotes_index,h4s_quotes_endu_u_idx),s(t_h4s_quotes_varmap(X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1))),happ(s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)))),h4s_quotes_nodeu_u_vm),s(X1,X2))),s(t_h4s_quotes_varmap(X1),X4))),s(t_h4s_quotes_varmap(X1),X3)))))=s(X1,X2),file('i/f/numRing/num__ring__thms_c6', ch4s_numRings_numu_u_ringu_u_thmsu_c6)).
fof(28, axiom,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_quotes_varmapu_u_find(s(t_h4s_quotes_index,h4s_quotes_endu_u_idx),s(t_h4s_quotes_varmap(X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1))),happ(s(t_fun(X1,t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_varmap(X1),t_h4s_quotes_varmap(X1)))),h4s_quotes_nodeu_u_vm),s(X1,X2))),s(t_h4s_quotes_varmap(X1),X4))),s(t_h4s_quotes_varmap(X1),X3)))))=s(X1,X2),file('i/f/numRing/num__ring__thms_c6', ah4s_quotes_varmapu_u_findu_u_defu_c0)).
fof(74, axiom,![X1]:![X12]:![X68]:![X10]:![X2]:![X7]:s(X1,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X12,X68),h4s_pairs_u_2c(s(X12,X2),s(X68,X10))),s(t_fun(X12,t_fun(X68,X1)),X7)))=s(X1,happ(s(t_fun(X68,X1),happ(s(t_fun(X12,t_fun(X68,X1)),X7),s(X12,X2))),s(X68,X10))),file('i/f/numRing/num__ring__thms_c6', ah4s_pairs_pairu_u_caseu_u_thm)).
# SZS output end CNFRefutation
