# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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_finite(s(t_fun(X1,t_bool),X2)))))=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))&~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/IN__INFINITE__NOT__FINITE', ch4s_predu_u_sets_INu_u_INFINITEu_u_NOTu_u_FINITE)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/IN__INFINITE__NOT__FINITE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/IN__INFINITE__NOT__FINITE', aHLu_FALSITY)).
fof(4, 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/IN__INFINITE__NOT__FINITE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(9, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/IN__INFINITE__NOT__FINITE', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(10, axiom,![X1]:![X3]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X3)))))=>![X2]:(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_finite(s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/IN__INFINITE__NOT__FINITE', ah4s_predu_u_sets_INFINITEu_u_SUBSET)).
fof(12, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/IN__INFINITE__NOT__FINITE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
