# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),X2),file('i/f/pred_set/UNION__EMPTY_c0', ch4s_predu_u_sets_UNIONu_u_EMPTYu_c0)).
fof(3, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/pred_set/UNION__EMPTY_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(43, axiom,![X1]:![X10]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X10)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X10),s(t_fun(X1,t_bool),X2))),file('i/f/pred_set/UNION__EMPTY_c0', ah4s_predu_u_sets_UNIONu_u_COMM)).
fof(45, axiom,![X1]:![X10]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X10))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X10)))=s(t_fun(X1,t_bool),X10)),file('i/f/pred_set/UNION__EMPTY_c0', ah4s_predu_u_sets_SUBSETu_u_UNIONu_u_ABSORPTION)).
fof(55, axiom,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/UNION__EMPTY_c0', ah4s_predu_u_sets_EMPTYu_u_SUBSET)).
fof(60, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/UNION__EMPTY_c0', aHLu_FALSITY)).
fof(77, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/UNION__EMPTY_c0', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
