# 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_inj(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X2,t_bool),X3)))),file('i/f/pred_set/INJ__EMPTY_c0', ch4s_predu_u_sets_INJu_u_EMPTYu_c0)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/INJ__EMPTY_c0', aHLu_FALSITY)).
fof(3, 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/INJ__EMPTY_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,(p(s(t_bool,f0))<=>![X7]:p(s(t_bool,X7))),file('i/f/pred_set/INJ__EMPTY_c0', ah4s_bools_Fu_u_DEF)).
fof(65, axiom,![X2]:![X1]:![X7]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),X3),s(t_fun(X2,t_bool),X7))))<=>(![X15]:(p(s(t_bool,h4s_bools_in(s(X1,X15),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X15))),s(t_fun(X2,t_bool),X7)))))&![X15]:![X18]:((p(s(t_bool,h4s_bools_in(s(X1,X15),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X18),s(t_fun(X1,t_bool),X3)))))=>(s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X15)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X18)))<=>s(X1,X15)=s(X1,X18))))),file('i/f/pred_set/INJ__EMPTY_c0', ah4s_predu_u_sets_INJu_u_IFF)).
fof(69, axiom,![X1]:![X15]:![X29]:s(t_bool,h4s_bools_in(s(X1,X15),s(t_fun(X1,t_bool),X29)))=s(t_bool,happ(s(t_fun(X1,t_bool),X29),s(X1,X15))),file('i/f/pred_set/INJ__EMPTY_c0', ah4s_bools_INu_u_DEF)).
fof(74, axiom,![X1]:![X15]:~(p(s(t_bool,h4s_bools_in(s(X1,X15),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/INJ__EMPTY_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
