# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2)))=s(t_bool,f)=>![X3]:(![X4]:![X2]:(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)),X3),s(t_fun(t_h4s_nums_num,t_bool),X4))),s(t_h4s_nums_num,X2))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X2))))))=>![X4]:![X5]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_peventual(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X5))))<=>~(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_puntil(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)),X3),s(t_fun(t_h4s_nums_num,t_bool),X4))),s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X5)))))))),file('i/f/Past_Temporal_Logic/PUNTIL__EXPRESSIVE_c1', ch4s_Pastu_u_Temporalu_u_Logics_PUNTILu_u_EXPRESSIVEu_c1)).
fof(21, axiom,![X2]:![X18]:![X4]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_puntil(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_fun(t_h4s_nums_num,t_bool),X18),s(t_h4s_nums_num,X2))))<=>(![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X2))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),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,X2))))&(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,X2)))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X8))))&~(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/PUNTIL__EXPRESSIVE_c1', ah4s_Pastu_u_Temporalu_u_Logics_PUNTIL0)).
fof(24, axiom,![X2]:![X4]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_peventual(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X2))))<=>?[X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X2))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X4),s(t_h4s_nums_num,X8)))))),file('i/f/Past_Temporal_Logic/PUNTIL__EXPRESSIVE_c1', ah4s_Pastu_u_Temporalu_u_Logics_PEVENTUAL0)).
fof(25, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/PUNTIL__EXPRESSIVE_c1', aHLu_FALSITY)).
fof(26, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/PUNTIL__EXPRESSIVE_c1', aHLu_BOOLu_CASES)).
fof(33, axiom,![X8]:((p(s(t_bool,f))=>p(s(t_bool,X8)))<=>p(s(t_bool,t))),file('i/f/Past_Temporal_Logic/PUNTIL__EXPRESSIVE_c1', ah4s_bools_IMPu_u_CLAUSESu_c2)).
fof(37, axiom,![X8]:(s(t_bool,X8)=s(t_bool,f)<=>~(p(s(t_bool,X8)))),file('i/f/Past_Temporal_Logic/PUNTIL__EXPRESSIVE_c1', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
