# 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),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_fun(t_h4s_nums_num,t_bool)),X1),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),X2),s(t_h4s_nums_num,X3))))))=>![X4]:(![X3]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X3)))=s(t_bool,f)=>![X2]:![X5]:s(t_bool,h4s_pastu_u_temporalu_u_logics_palways(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X5)))=s(t_bool,h4s_pastu_u_temporalu_u_logics_pwhen(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_fun(t_h4s_nums_num,t_bool)),X1),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X5))))),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', ch4s_Pastu_u_Temporalu_u_Logics_PWHENu_u_EXPRESSIVEu_c0)).
fof(2, 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/PWHEN__EXPRESSIVE_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X3]:![X18]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pwhen(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X18),s(t_h4s_nums_num,X3))))<=>(![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X3))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X18),s(t_h4s_nums_num,X8))))))|?[X19]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),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,X19))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X18),s(t_h4s_nums_num,X19))))&![X8]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X8))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X3)))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X18),s(t_h4s_nums_num,X8))))))))))),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', ah4s_Pastu_u_Temporalu_u_Logics_PWHEN0)).
fof(25, axiom,![X3]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_palways(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))<=>![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),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,X8)))))),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', ah4s_Pastu_u_Temporalu_u_Logics_PALWAYS0)).
fof(26, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', aHLu_FALSITY)).
fof(27, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', aHLu_BOOLu_CASES)).
fof(34, axiom,![X8]:((p(s(t_bool,f))=>p(s(t_bool,X8)))<=>p(s(t_bool,t))),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', ah4s_bools_IMPu_u_CLAUSESu_c2)).
fof(38, axiom,![X8]:(s(t_bool,X8)=s(t_bool,f)<=>~(p(s(t_bool,X8)))),file('i/f/Past_Temporal_Logic/PWHEN__EXPRESSIVE_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
