# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_pastu_u_temporalu_u_logics_palways(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ch4s_Pastu_u_Temporalu_u_Logics_INITIALISATIONu_c2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', aHLu_FALSITY)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(29, axiom,![X14]:![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15)))))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(31, axiom,![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(33, axiom,![X14]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_numerals_numeralu_u_distribu_c27)).
fof(35, axiom,![X20]:![X1]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_palways(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X20))))<=>![X4]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X20))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X4)))))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_Pastu_u_Temporalu_u_Logics_PALWAYS0)).
fof(36, axiom,p(s(t_bool,t)),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', aHLu_TRUTH)).
fof(45, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(46, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', aHLu_BOOLu_CASES)).
fof(53, axiom,![X14]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/Past_Temporal_Logic/INITIALISATION_c2', ah4s_numerals_numeralu_u_lteu_c1)).
# SZS output end CNFRefutation
