# 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,happ(s(t_fun(t_h4s_nums_num,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(29, axiom,![X21]:![X3]:![X22]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_before(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X21))))<=>?[X8]:(p(s(t_bool,h4s_temporalu_u_logics_watch(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X21))))&(?[X2]:(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X21)))))))&(~(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,X21)))))))&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,X21))))))))|![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,X21)))))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_Temporalu_u_Logics_BEFORE0)).
fof(36, axiom,![X21]:![X3]:![X22]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_before(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X21))))<=>![X24]:((![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X24))))=>~(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,X21))))))))&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,X24),s(t_h4s_nums_num,X21)))))))=>?[X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X24))))&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,X21))))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_Temporalu_u_Logics_BEFOREu_u_SIGNAL)).
fof(39, axiom,![X21]:![X20]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X20),s(t_h4s_nums_num,X21))))<=>?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X20),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X21))))))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_Temporalu_u_Logics_EVENTUAL0)).
fof(42, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', aHLu_FALSITY)).
fof(43, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', aHLu_BOOLu_CASES)).
fof(46, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t0))),file('i/f/Temporal_Logic/EVENTUAL__AS__BEFORE', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
