# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:(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)),X1),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X3))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))))=>![X2]:![X4]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(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)),X1),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),X2),s(t_h4s_nums_num,X4))))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ch4s_Pastu_u_Temporalu_u_Logics_PNEXTu_u_INWARDSu_u_NORMALu_u_FORMu_c0)).
fof(40, axiom,![X22]:![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,X22))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X22))))&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,X22)))))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(52, axiom,![X22]:![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,X22))))<=>(s(t_h4s_nums_num,X22)=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,X22)))))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(60, axiom,![X15]:![X10]:(~(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X15))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X15))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X10)))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(63, axiom,![X15]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15)))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(65, axiom,![X15]:![X10]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X15))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X15))))|s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X15))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(66, axiom,![X15]:![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X15)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X15))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_arithmetics_LESSu_u_EQ)).
fof(69, 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/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_primu_u_recs_PRE0u_c0)).
fof(87, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', aHLu_TRUTH)).
fof(89, axiom,![X3]:(s(t_bool,t0)=s(t_bool,X3)<=>p(s(t_bool,X3))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_bools_EQu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
