# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/probability/EVENTS__SPACE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/probability/EVENTS__SPACE', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/probability/EVENTS__SPACE', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/probability/EVENTS__SPACE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/probability/EVENTS__SPACE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(23, axiom,![X14]:![X15]:![X6]:s(t_fun(X14,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X14,t_bool),X6),s(t_fun(t_fun(X14,t_bool),t_bool),X15)))))=s(t_fun(X14,t_bool),X6),file('i/f/probability/EVENTS__SPACE', ah4s_measures_spaceu_u_def)).
fof(24, axiom,![X14]:![X15]:![X6]:s(t_fun(t_fun(X14,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X14,t_bool),X6),s(t_fun(t_fun(X14,t_bool),t_bool),X15)))))=s(t_fun(t_fun(X14,t_bool),t_bool),X15),file('i/f/probability/EVENTS__SPACE', ah4s_measures_subsetsu_u_def)).
fof(25, axiom,![X14]:![X16]:(p(s(t_bool,h4s_measures_algebra(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),X16))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X14,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),X16))),s(t_fun(t_fun(X14,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),X16))))))),file('i/f/probability/EVENTS__SPACE', ah4s_measures_ALGEBRAu_u_SPACE)).
fof(26, axiom,![X14]:![X16]:(p(s(t_bool,h4s_measures_sigmau_u_algebra(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),X16))))=>p(s(t_bool,h4s_measures_algebra(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),X16))))),file('i/f/probability/EVENTS__SPACE', ah4s_measures_SIGMAu_u_ALGEBRAu_u_ALGEBRA)).
fof(27, axiom,![X14]:![X13]:(p(s(t_bool,h4s_probabilitys_probu_u_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))))<=>(p(s(t_bool,h4s_measures_sigmau_u_algebra(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_fun(t_fun(X14,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X14,t_bool),h4s_probabilitys_pu_u_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))),s(t_fun(t_fun(X14,t_bool),t_bool),h4s_probabilitys_events(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))))))))&(p(s(t_bool,h4s_measures_positive(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))))&(p(s(t_bool,h4s_measures_countablyu_u_additive(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))))&s(t_h4s_realaxs_real,h4s_probabilitys_prob(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13),s(t_fun(X14,t_bool),h4s_probabilitys_pu_u_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/probability/EVENTS__SPACE', ah4s_probabilitys_PROBu_u_SPACE)).
fof(28, conjecture,![X14]:![X13]:(p(s(t_bool,h4s_probabilitys_probu_u_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X14,t_bool),h4s_probabilitys_pu_u_space(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))),s(t_fun(t_fun(X14,t_bool),t_bool),h4s_probabilitys_events(s(t_h4s_pairs_prod(t_fun(X14,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X14,t_bool),t_bool),t_fun(t_fun(X14,t_bool),t_h4s_realaxs_real))),X13))))))),file('i/f/probability/EVENTS__SPACE', ch4s_probabilitys_EVENTSu_u_SPACE)).
# SZS output end CNFRefutation
