# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))&(p(s(t_bool,h4s_bools_in(s(t_h4s_extreals_extreal,X5),s(t_fun(t_h4s_extreals_extreal,t_bool),h4s_lebesgues_psfis(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2),s(t_fun(X1,t_h4s_extreals_extreal),X3))))))&p(s(t_bool,h4s_bools_in(s(t_h4s_extreals_extreal,X4),s(t_fun(t_h4s_extreals_extreal,t_bool),h4s_lebesgues_psfis(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2),s(t_fun(X1,t_h4s_extreals_extreal),X3))))))))=>s(t_h4s_extreals_extreal,X5)=s(t_h4s_extreals_extreal,X4)),file('i/f/lebesgue/psfis__unique', ch4s_lebesgues_psfisu_u_unique)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/lebesgue/psfis__unique', aHLu_FALSITY)).
fof(23, axiom,![X15]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X15),s(t_h4s_extreals_extreal,X15)))),file('i/f/lebesgue/psfis__unique', ah4s_extreals_leu_u_refl)).
fof(24, axiom,![X16]:![X15]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X15),s(t_h4s_extreals_extreal,X16))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X16),s(t_h4s_extreals_extreal,X15)))))<=>s(t_h4s_extreals_extreal,X15)=s(t_h4s_extreals_extreal,X16)),file('i/f/lebesgue/psfis__unique', ah4s_extreals_leu_u_antisym)).
fof(25, axiom,![X1]:![X2]:![X17]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))&(p(s(t_bool,h4s_bools_in(s(t_h4s_extreals_extreal,X5),s(t_fun(t_h4s_extreals_extreal,t_bool),h4s_lebesgues_psfis(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2),s(t_fun(X1,t_h4s_extreals_extreal),X3))))))&(p(s(t_bool,h4s_bools_in(s(t_h4s_extreals_extreal,X4),s(t_fun(t_h4s_extreals_extreal,t_bool),h4s_lebesgues_psfis(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2),s(t_fun(X1,t_h4s_extreals_extreal),X17))))))&![X15]:(p(s(t_bool,h4s_bools_in(s(X1,X15),s(t_fun(X1,t_bool),h4s_measures_mu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,happ(s(t_fun(X1,t_h4s_extreals_extreal),X3),s(X1,X15))),s(t_h4s_extreals_extreal,happ(s(t_fun(X1,t_h4s_extreals_extreal),X17),s(X1,X15))))))))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X5),s(t_h4s_extreals_extreal,X4))))),file('i/f/lebesgue/psfis__unique', ah4s_lebesgues_psfisu_u_mono)).
fof(29, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f0)),file('i/f/lebesgue/psfis__unique', aHLu_BOOLu_CASES)).
fof(30, axiom,p(s(t_bool,t)),file('i/f/lebesgue/psfis__unique', aHLu_TRUTH)).
fof(32, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/lebesgue/psfis__unique', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
