# 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]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X3)))=s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c2)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', aHLu_FALSITY)).
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_c2', aHLu_BOOLu_CASES)).
fof(37, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(62, axiom,![X21]:![X22]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X22))),s(t_h4s_nums_num,X21))))<=>![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X21))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_Temporalu_u_Logics_ALWAYS0)).
fof(70, axiom,![X19]:![X20]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_arithmetics_NOTu_u_LESS)).
fof(71, axiom,![X19]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(76, axiom,![X19]:![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_arithmetics_ADDu_u_SYM)).
fof(79, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X19),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_numerals_numeralu_u_distribu_c1)).
fof(81, axiom,![X19]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X19)))))=s(t_h4s_nums_num,X19),file('i/f/Past_Temporal_Logic/SIMPLIFY_c2', ah4s_numerals_numeralu_u_addu_c0)).
# SZS output end CNFRefutation
