# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_fun(t_h4s_nums_num,t_bool)),X1),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X3))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))))=>![X4]:![X2]:(~(p(s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X4)))))<=>p(s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_fun(t_h4s_nums_num,t_bool)),X1),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X4)))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ch4s_Pastu_u_Temporalu_u_Logics_NEGATIONu_u_NORMALu_u_FORMu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', aHLu_FALSITY)).
fof(15, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(31, axiom,![X17]:![X18]:(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,X17)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18)))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(38, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(43, axiom,![X5]:![X6]:s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X5),s(t_h4s_nums_num,X6)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X5),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_Temporalu_u_Logics_NEXT0)).
fof(49, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t1)|s(t_bool,X4)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', aHLu_BOOLu_CASES)).
fof(57, axiom,![X17]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(58, axiom,![X17]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(71, axiom,![X18]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),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/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_arithmetics_ADD1)).
fof(76, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,X18),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(78, axiom,p(s(t_bool,t1)),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c0', aHLu_TRUTH)).
# SZS output end CNFRefutation
