# 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(2, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', aHLu_FALSITY)).
fof(26, 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)).
fof(28, axiom,![X3]:(s(t_bool,X3)=s(t_bool,f)<=>~(p(s(t_bool,X3)))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(53, axiom,![X24]:![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,X24))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X24))))&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,X24)))))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(56, axiom,![X24]:![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,X24))))<=>(s(t_h4s_nums_num,X24)=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,X24)))))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(57, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', aHLu_BOOLu_CASES)).
fof(61, axiom,![X15]:![X16]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))))|s(t_h4s_nums_num,X16)=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(64, 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(68, 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(70, axiom,![X15]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X15))))),file('i/f/Past_Temporal_Logic/PNEXT__INWARDS__NORMAL__FORM_c0', ah4s_primu_u_recs_LESSu_u_REFL)).
# SZS output end CNFRefutation
