# 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,t0)=>![X3]:![X4]:s(t_bool,h4s_pastu_u_temporalu_u_logics_puntil(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X4)))=s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c52)).
fof(3, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', aHLu_TRUTH)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', aHLu_BOOLu_CASES)).
fof(18, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(20, axiom,![X9]:![X10]:![X3]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_puntil(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_fun(t_h4s_nums_num,t_bool),X10),s(t_h4s_nums_num,X9))))<=>(![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X9))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X2)))))|?[X11]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X9))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X10),s(t_h4s_nums_num,X11))))&![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X9)))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X2))))&~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X10),s(t_h4s_nums_num,X2))))))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ah4s_Pastu_u_Temporalu_u_Logics_PUNTIL0)).
fof(47, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', aHLu_FALSITY)).
fof(54, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(61, axiom,![X24]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X24)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(63, axiom,![X23]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X23))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(65, axiom,![X23]:![X24]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X24))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c52', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
