# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X7),s(t_fun(X1,t_bool),X6),s(t_fun(X2,t_bool),X4))))&(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),X3))))))=>p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X7),s(t_fun(X1,t_bool),X5),s(t_fun(X2,t_bool),X3))))),file('i/f/pred_set/INJ__SUBSET', ch4s_predu_u_sets_INJu_u_SUBSET)).
fof(6, axiom,![X2]:![X1]:![X4]:![X6]:![X7]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X7),s(t_fun(X1,t_bool),X6),s(t_fun(X2,t_bool),X4))))<=>(![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X6))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X7),s(X1,X8))),s(t_fun(X2,t_bool),X4)))))&![X8]:![X13]:((p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,h4s_bools_in(s(X1,X13),s(t_fun(X1,t_bool),X6)))))=>(s(X2,happ(s(t_fun(X1,X2),X7),s(X1,X8)))=s(X2,happ(s(t_fun(X1,X2),X7),s(X1,X13)))=>s(X1,X8)=s(X1,X13))))),file('i/f/pred_set/INJ__SUBSET', ah4s_predu_u_sets_INJu_u_DEF)).
fof(7, axiom,![X1]:![X4]:![X6]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X4))))<=>![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X6))))=>p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/INJ__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
# SZS output end CNFRefutation
