# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2)))=s(t_bool,f)=>![X3]:![X4]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X4))))<=>~(p(s(t_bool,h4s_temporalu_u_logics_before(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X4))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ch4s_Temporalu_u_Logics_EVENTUALu_u_ASu_u_BEFORE)).
fof(18, axiom,![X16]:![X3]:![X17]:(p(s(t_bool,h4s_temporalu_u_logics_before(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X16))))<=>?[X12]:(p(s(t_bool,h4s_temporalu_u_logics_watch(s(t_fun(t_h4s_nums_num,t_bool),X12),s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X16))))&(?[X2]:(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X12),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))&(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))&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,X2),s(t_h4s_nums_num,X16))))))))|![X2]:~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_Temporalu_u_Logics_BEFORE0)).
fof(21, axiom,![X16]:![X22]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X16))))<=>?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_Temporalu_u_Logics_EVENTUAL0)).
fof(22, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', aHLu_FALSITY)).
fof(28, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_bools_EQu_u_CLAUSESu_c2)).
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/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_arithmetics_ADDu_u_SYM)).
fof(37, axiom,![X16]:![X12]:![X3]:(p(s(t_bool,h4s_temporalu_u_logics_watch(s(t_fun(t_h4s_nums_num,t_bool),X12),s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X16))))<=>![X2]:(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X12),s(t_h4s_nums_num,X16)))=s(t_bool,f)&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X12),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16))))))))<=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X12),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16))))))|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_Temporalu_u_Logics_WATCH0)).
fof(39, axiom,![X23]:![X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X24))),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_arithmetics_ADDu_c1)).
# SZS output end CNFRefutation
