# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_tcs_tcu_u_mod(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_combins_i),file('i/f/tc/TC__MOD__EMPTY__ID', ch4s_tcs_TCu_u_MODu_u_EMPTYu_u_ID)).
fof(3, axiom,![X3]:![X4]:![X5]:![X6]:(![X2]:s(X4,happ(s(t_fun(X3,X4),X5),s(X3,X2)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X2)))=>s(t_fun(X3,X4),X5)=s(t_fun(X3,X4),X6)),file('i/f/tc/TC__MOD__EMPTY__ID', aHLu_EXT)).
fof(10, axiom,![X1]:![X2]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X2)))=s(X1,X2),file('i/f/tc/TC__MOD__EMPTY__ID', ah4s_combins_Iu_u_THM)).
fof(11, axiom,![X1]:![X13]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X13),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),X13),file('i/f/tc/TC__MOD__EMPTY__ID', ah4s_predu_u_sets_UNIONu_u_EMPTYu_c1)).
fof(12, axiom,![X1]:![X8]:![X14]:s(X1,h4s_bools_cond(s(t_bool,X14),s(X1,X8),s(X1,X8)))=s(X1,X8),file('i/f/tc/TC__MOD__EMPTY__ID', ah4s_bools_CONDu_u_ID)).
fof(14, axiom,![X1]:![X2]:![X19]:![X20]:s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_tcs_tcu_u_mod(s(X1,X2),s(t_fun(X1,t_bool),X19))),s(t_fun(X1,t_bool),X20)))=s(t_fun(X1,t_bool),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X20))),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X20),s(t_fun(X1,t_bool),X19))),s(t_fun(X1,t_bool),X20))),file('i/f/tc/TC__MOD__EMPTY__ID', ah4s_tcs_TCu_u_MOD0)).
# SZS output end CNFRefutation
