# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X2))))<=>(~(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X2)))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2)))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ch4s_Pastu_u_Temporalu_u_Logics_PRENEXu_u_NEXTu_u_NORMALu_u_FORMu_c18)).
fof(3, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X1]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X2))))|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2)))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_Pastu_u_Temporalu_u_Logics_PRENEXu_u_NEXTu_u_NORMALu_u_FORMu_c17)).
fof(24, axiom,![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X2))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_Pastu_u_Temporalu_u_Logics_InitPoint0)).
fof(25, axiom,![X19]:![X1]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X19))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X19)))))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(30, axiom,![X19]:![X1]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X19))))<=>(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X19)))))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(31, axiom,![X23]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X23)))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(39, 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_c18', ah4s_primu_u_recs_PRE0u_c0)).
fof(40, axiom,![X23]:![X24]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X24))))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_arithmetics_NOTu_u_LESS)).
fof(41, axiom,![X23]:![X24]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))|s(t_h4s_nums_num,X24)=s(t_h4s_nums_num,X23))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(42, axiom,![X23]:![X24]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23)))=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,X23))),file('i/f/Past_Temporal_Logic/PRENEX__NEXT__NORMAL__FORM_c18', ah4s_arithmetics_LESSu_u_EQ)).
# SZS output end CNFRefutation
