# 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_pbefore(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1),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_nums_0)))))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', ch4s_Pastu_u_Temporalu_u_Logics_INITIALISATIONu_c9)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', aHLu_FALSITY)).
fof(19, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, axiom,![X15]:![X16]:(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,X15)<=>(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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X16)))))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(41, 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/INITIALISATION_c9', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(43, axiom,![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', ah4s_numerals_numeralu_u_distribu_c27)).
fof(45, axiom,![X21]:![X1]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pbefore(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X21))))<=>(![X5]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X21))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X5))))))|?[X22]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X22))))&![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X5))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X21)))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X5)))))))))),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', ah4s_Pastu_u_Temporalu_u_Logics_PBEFORE0)).
fof(46, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/INITIALISATION_c9', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
