# 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_sbefore(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_sbefore(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_c4', ch4s_Pastu_u_Temporalu_u_Logics_RECURSIONu_c4)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/RECURSION_c4', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/Past_Temporal_Logic/RECURSION_c4', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(5, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/Past_Temporal_Logic/RECURSION_c4', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(48, axiom,![X22]:![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_sbefore(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_sbefore(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_c4', ah4s_Temporalu_u_Logics_SBEFOREu_u_REC)).
fof(55, axiom,![X24]:(?[X13]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X13))))=>?[X13]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X13))))&![X14]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X24),s(t_h4s_nums_num,X14)))))))),file('i/f/Past_Temporal_Logic/RECURSION_c4', ah4s_arithmetics_WOP)).
fof(56, 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_c4', ah4s_Temporalu_u_Logics_NEXT0)).
fof(65, axiom,![X13]:![X14]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14))))),file('i/f/Past_Temporal_Logic/RECURSION_c4', ah4s_arithmetics_LESSu_u_CASES)).
# SZS output end CNFRefutation
