# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__INFINITE', ch4s_predu_u_sets_FINITEu_u_PSUBSETu_u_INFINITE)).
fof(2, 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/FINITE__PSUBSET__INFINITE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(28, 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__INFINITE', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(34, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/FINITE__PSUBSET__INFINITE', ah4s_predu_u_sets_PSUBSETu_u_IRREFL)).
fof(48, 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),X2)))),file('i/f/pred_set/FINITE__PSUBSET__INFINITE', ah4s_predu_u_sets_SUBSETu_u_REFL)).
fof(66, axiom,![X1]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/FINITE__PSUBSET__INFINITE', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
# SZS output end CNFRefutation
