# 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),h4s_temporalu_u_logics_until(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,X3))))<=>(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),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))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(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,X3))))))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ch4s_Pastu_u_Temporalu_u_Logics_RECURSIONu_c5)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/RECURSION_c5', aHLu_FALSITY)).
fof(4, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(48, axiom,![X22]:![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(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,X22))))<=>(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),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,X22))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(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,X22))))))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_Temporalu_u_Logics_UNTILu_u_REC)).
fof(55, axiom,![X24]:![X3]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X24))),s(t_h4s_nums_num,X3)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_Temporalu_u_Logics_NEXT0)).
fof(56, axiom,![X24]:(?[X14]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X14))))=>?[X14]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X14))))&![X13]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X13)))))))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_arithmetics_WOP)).
fof(66, axiom,![X14]:![X13]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),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,X13))))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
