# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))<=>?[X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/PSUBSET__UNIV', ch4s_predu_u_sets_PSUBSETu_u_UNIV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/PSUBSET__UNIV', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/PSUBSET__UNIV', aHLu_FALSITY)).
fof(4, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/PSUBSET__UNIV', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/pred_set/PSUBSET__UNIV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/PSUBSET__UNIV', ah4s_predu_u_sets_INu_u_UNIV)).
fof(8, axiom,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/PSUBSET__UNIV', ah4s_predu_u_sets_SUBSETu_u_UNIV)).
fof(9, axiom,![X1]:![X6]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X6))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X6))))&~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X6)))),file('i/f/pred_set/PSUBSET__UNIV', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(10, axiom,![X1]:![X6]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X6)<=>![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X6)))),file('i/f/pred_set/PSUBSET__UNIV', ah4s_predu_u_sets_EXTENSION)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/pred_set/PSUBSET__UNIV', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
