# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:(p(s(t_bool,h4s_bools_in(s(X2,X5),s(t_fun(X2,t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(t_h4s_sums_sum(X1,X2),happ(s(t_fun(X2,t_h4s_sums_sum(X1,X2)),h4s_sums_inr),s(X2,X5))),s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),X3)))))=>p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,t_h4s_sums_sum(X1,X2)),h4s_sums_inr),s(t_fun(X2,t_bool),X4),s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),X3))))),file('i/f/pred_set/INJ__INR', ch4s_predu_u_sets_INJu_u_INR)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/INJ__INR', aHLu_TRUTH)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)<=>p(s(t_bool,X3))),file('i/f/pred_set/INJ__INR', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:![X2]:![X3]:![X4]:![X14]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X14),s(t_fun(X2,t_bool),X4),s(t_fun(X1,t_bool),X3))))<=>(![X5]:(p(s(t_bool,h4s_bools_in(s(X2,X5),s(t_fun(X2,t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(X1,happ(s(t_fun(X2,X1),X14),s(X2,X5))),s(t_fun(X1,t_bool),X3)))))&![X5]:![X10]:((p(s(t_bool,h4s_bools_in(s(X2,X5),s(t_fun(X2,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X2,X10),s(t_fun(X2,t_bool),X4)))))=>(s(X1,happ(s(t_fun(X2,X1),X14),s(X2,X5)))=s(X1,happ(s(t_fun(X2,X1),X14),s(X2,X10)))=>s(X2,X5)=s(X2,X10))))),file('i/f/pred_set/INJ__INR', ah4s_predu_u_sets_INJu_u_DEF)).
fof(14, axiom,![X2]:![X1]:![X10]:![X5]:(s(t_h4s_sums_sum(X2,X1),happ(s(t_fun(X1,t_h4s_sums_sum(X2,X1)),h4s_sums_inr),s(X1,X5)))=s(t_h4s_sums_sum(X2,X1),happ(s(t_fun(X1,t_h4s_sums_sum(X2,X1)),h4s_sums_inr),s(X1,X10)))<=>s(X1,X5)=s(X1,X10)),file('i/f/pred_set/INJ__INR', ah4s_sums_INRu_u_INLu_u_11u_c1)).
fof(15, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/INJ__INR', aHLu_BOOLu_CASES)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/INJ__INR', aHLu_FALSITY)).
# SZS output end CNFRefutation
