# 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]:![X2]:(~(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X4)))))<=>p(s(t_bool,h4s_temporalu_u_logics_always(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,X4)))))),file('i/f/Temporal_Logic/NOT__EVENTUAL', ch4s_Temporalu_u_Logics_NOTu_u_EVENTUAL)).
fof(2, axiom,p(s(t_bool,t1)),file('i/f/Temporal_Logic/NOT__EVENTUAL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/NOT__EVENTUAL', aHLu_FALSITY)).
fof(5, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/Temporal_Logic/NOT__EVENTUAL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X4]:![X9]:(p(s(t_bool,h4s_temporalu_u_logics_always(s(t_fun(t_h4s_nums_num,t_bool),X9),s(t_h4s_nums_num,X4))))<=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X9),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))))))),file('i/f/Temporal_Logic/NOT__EVENTUAL', ah4s_Temporalu_u_Logics_ALWAYS0)).
fof(8, axiom,![X4]:![X9]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X9),s(t_h4s_nums_num,X4))))<=>?[X3]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X9),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))))))),file('i/f/Temporal_Logic/NOT__EVENTUAL', ah4s_Temporalu_u_Logics_EVENTUAL0)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t1)|s(t_bool,X3)=s(t_bool,f)),file('i/f/Temporal_Logic/NOT__EVENTUAL', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
