# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_psubset(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),X3),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))))),file('i/f/pred_set/PSUBSET__EQN', ch4s_predu_u_sets_PSUBSETu_u_EQN)).
fof(4, axiom,![X1]:![X7]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X7)))),file('i/f/pred_set/PSUBSET__EQN', ah4s_predu_u_sets_SUBSETu_u_REFL)).
fof(5, axiom,![X1]:![X6]:![X7]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X7)))))=>s(t_fun(X1,t_bool),X7)=s(t_fun(X1,t_bool),X6)),file('i/f/pred_set/PSUBSET__EQN', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(39, axiom,![X1]:![X6]:![X7]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X6))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X6))))&~(s(t_fun(X1,t_bool),X7)=s(t_fun(X1,t_bool),X6)))),file('i/f/pred_set/PSUBSET__EQN', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(54, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X7))))),file('i/f/pred_set/PSUBSET__EQN', ah4s_predu_u_sets_PSUBSETu_u_IRREFL)).
# SZS output end CNFRefutation
