# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X4),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),X4),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/PSUBSET__SUBSET__TRANS', ch4s_predu_u_sets_PSUBSETu_u_SUBSETu_u_TRANS)).
fof(2, 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/PSUBSET__SUBSET__TRANS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(5, axiom,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),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_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/PSUBSET__SUBSET__TRANS', ah4s_predu_u_sets_SUBSETu_u_TRANS)).
fof(7, axiom,![X1]:![X3]:![X4]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),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),X4)))))=>s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X3)),file('i/f/pred_set/PSUBSET__SUBSET__TRANS', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(45, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))&~(s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/PSUBSET__SUBSET__TRANS', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(48, axiom,![X1]:![X10]:![X11]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),X10))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),X10))))&~(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X10),s(t_fun(X1,t_bool),X11))))))),file('i/f/pred_set/PSUBSET__SUBSET__TRANS', ah4s_predu_u_sets_PSUBSETu_u_EQN)).
# SZS output end CNFRefutation
