# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X3)))=s(X1,X3)=>![X4]:p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X1),X2),s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X4))))),file('i/f/pred_set/INJ__ID', ch4s_predu_u_sets_INJu_u_ID)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/INJ__ID', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/INJ__ID', aHLu_FALSITY)).
fof(4, axiom,![X5]:![X1]:![X6]:![X4]:![X7]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X5),X7),s(t_fun(X1,t_bool),X4),s(t_fun(X5,t_bool),X6))))<=>(![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(X5,happ(s(t_fun(X1,X5),X7),s(X1,X3))),s(t_fun(X5,t_bool),X6)))))&![X3]:![X8]:((p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X4)))))=>(s(X5,happ(s(t_fun(X1,X5),X7),s(X1,X3)))=s(X5,happ(s(t_fun(X1,X5),X7),s(X1,X8)))=>s(X1,X3)=s(X1,X8))))),file('i/f/pred_set/INJ__ID', ah4s_predu_u_sets_INJu_u_DEF)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/pred_set/INJ__ID', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
