# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))))<=>![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),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)))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ch4s_predu_u_sets_FINITEu_u_PSUBSETu_u_UNIV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/FINITE__PSUBSET__UNIV', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X3]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))&~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(9, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2)))))<=>![X3]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X3))))=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_FINITEu_u_PSUBSETu_u_INFINITE)).
fof(10, 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/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_SUBSETu_u_UNIV)).
fof(12, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/FINITE__PSUBSET__UNIV', aHLu_BOOLu_CASES)).
fof(13, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', aHLu_FALSITY)).
# SZS output end CNFRefutation
