# 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,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X4)))))<=>p(s(t_bool,h4s_temporalu_u_logics_eventual(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_c1', ch4s_Pastu_u_Temporalu_u_Logics_NEGATIONu_u_NORMALu_u_FORMu_c1)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:(![X2]:![X4]:(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,X4))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X4))))))=>![X3]:![X2]:(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X3)))))<=>p(s(t_bool,h4s_temporalu_u_logics_eventual(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)))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_Temporalu_u_Logics_NOTu_u_ALWAYS)).
fof(27, axiom,![X3]:![X17]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,X3))))<=>?[X4]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_Temporalu_u_Logics_EVENTUAL0)).
fof(32, axiom,![X3]:![X17]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X17))),s(t_h4s_nums_num,X3))))<=>![X4]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_Temporalu_u_Logics_ALWAYS0)).
fof(35, axiom,![X23]:![X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X24))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_arithmetics_ADDu_u_SYM)).
fof(42, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(56, axiom,![X24]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X24)))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(58, axiom,![X23]:![X24]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))=>?[X11]:s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X11)))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c1', ah4s_arithmetics_LESSu_u_EQUALu_u_ADD)).
# SZS output end CNFRefutation
