# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:![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)),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),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_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),X2),s(t_h4s_nums_num,X4))))|p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X4))))))=>![X3]:![X2]:![X5]:(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)),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),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_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X5))))<=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X5))))|p(s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X5))))))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ch4s_Pastu_u_Temporalu_u_Logics_SEPARATEu_u_NEXTu_u_THMu_c5)).
fof(18, axiom,![X16]:![X5]:s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X16),s(t_h4s_nums_num,X5)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X16),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_Temporalu_u_Logics_NEXT0)).
fof(23, axiom,![X23]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X23))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X23))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X23)))))))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(25, axiom,![X24]:![X25]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X24)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X25))),s(t_h4s_nums_num,X24))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_arithmetics_LESSu_u_EQ)).
fof(26, axiom,![X24]:![X25]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X24)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X24))),s(t_h4s_nums_num,X25))))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_arithmetics_NOTu_u_LEQ)).
fof(28, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_primu_u_recs_PRE0u_c0)).
fof(29, axiom,![X25]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X25)))))=s(t_h4s_nums_num,X25),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_primu_u_recs_PRE0u_c1)).
fof(31, axiom,![X24]:![X25]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X24)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X25))))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_arithmetics_NOTu_u_LESS)).
fof(33, axiom,![X24]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X24)))),file('i/f/Past_Temporal_Logic/SEPARATE__NEXT__THM_c5', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
