# 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,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,t)),file('i/f/Past_Temporal_Logic/RECURSION_c5', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/RECURSION_c5', aHLu_FALSITY)).
fof(25, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/Past_Temporal_Logic/RECURSION_c5', ah4s_bools_EQu_u_CLAUSESu_c0)).
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,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(53, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/RECURSION_c5', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
