# 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,h4s_pastu_u_temporalu_u_logics_pnext(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),X3),s(t_h4s_nums_num,X4))))))=>![X5]:![X3]:![X2]:((p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X5))))|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(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),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)))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ch4s_Pastu_u_Temporalu_u_Logics_PRENEXu_u_NEXTu_u_NORMALu_u_FORMu_c2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', aHLu_FALSITY)).
fof(3, axiom,![X6]:![X7]:(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,X6)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7)))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(30, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(33, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(44, axiom,![X19]:![X12]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X19))),s(t_h4s_nums_num,X12)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X19),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_Temporalu_u_Logics_NEXT0)).
fof(67, axiom,![X4]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X4))))<=>(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0)|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,X4)))))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(68, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t1)|s(t_bool,X5)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', aHLu_BOOLu_CASES)).
fof(69, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t1))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(75, axiom,![X6]:![X7]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_arithmetics_NOTu_u_LESS)).
fof(78, axiom,![X6]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X6)))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(80, axiom,![X6]:![X7]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X6))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_arithmetics_LESSu_u_EQ)).
fof(82, axiom,![X7]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,X7),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_primu_u_recs_PRE0u_c1)).
fof(83, axiom,![X6]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X6))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(87, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_arithmetics_ONE)).
fof(88, 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/PRENEX__NEXT__NORMAL__FORM_c2', ah4s_primu_u_recs_PRE0u_c0)).
# SZS output end CNFRefutation
