# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))),s(X1,X2))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/INTER__applied', ch4s_predu_u_sets_INTERu_u_applied)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/INTER__applied', aHLu_FALSITY)).
fof(3, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/INTER__applied', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,(p(s(t_bool,f))<=>![X3]:p(s(t_bool,X3))),file('i/f/pred_set/INTER__applied', ah4s_bools_Fu_u_DEF)).
fof(38, axiom,![X1]:![X2]:![X23]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X23)))=s(t_bool,happ(s(t_fun(X1,t_bool),X23),s(X1,X2))),file('i/f/pred_set/INTER__applied', ah4s_bools_INu_u_DEF)).
fof(47, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/INTER__applied', ah4s_predu_u_sets_INu_u_INTER)).
fof(58, axiom,p(s(t_bool,t0)),file('i/f/pred_set/INTER__applied', aHLu_TRUTH)).
fof(59, axiom,![X3]:(s(t_bool,t0)=s(t_bool,X3)<=>p(s(t_bool,X3))),file('i/f/pred_set/INTER__applied', ah4s_bools_EQu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
