# 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(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))<=>s(t_fun(X2,t_bool),X3)=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/INJ__EMPTY_c1', ch4s_predu_u_sets_INJu_u_EMPTYu_c1)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/INJ__EMPTY_c1', aHLu_FALSITY)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f0)<=>~(p(s(t_bool,X5)))),file('i/f/pred_set/INJ__EMPTY_c1', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(13, axiom,![X2]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/INJ__EMPTY_c1', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X2]:![X5]:![X3]:(s(t_fun(X2,t_bool),X3)=s(t_fun(X2,t_bool),X5)<=>![X8]:s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),X3)))=s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),X5)))),file('i/f/pred_set/INJ__EMPTY_c1', ah4s_predu_u_sets_EXTENSION)).
fof(16, axiom,![X1]:![X2]:![X5]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X5))))<=>(![X8]:(p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X8))),s(t_fun(X1,t_bool),X5)))))&![X8]:![X12]:((p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X2,X12),s(t_fun(X2,t_bool),X3)))))=>(s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X8)))=s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X12)))=>s(X2,X8)=s(X2,X12))))),file('i/f/pred_set/INJ__EMPTY_c1', ah4s_predu_u_sets_INJu_u_DEF)).
# SZS output end CNFRefutation
