# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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,X1))))<=>?[X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),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)))))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ch4s_Temporalu_u_Logics_EVENTUALu_u_LINORD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Temporal_Logic/EVENTUAL__LINORD', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', aHLu_FALSITY)).
fof(28, axiom,![X5]:(s(t_bool,t)=s(t_bool,X5)<=>p(s(t_bool,X5))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(30, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(48, axiom,![X14]:![X15]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))=>?[X13]:s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X13)))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_arithmetics_LESSu_u_EQUALu_u_ADD)).
fof(49, axiom,![X14]:![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15)))))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(60, axiom,![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_arithmetics_ADDu_u_SYM)).
fof(69, axiom,![X13]:![X14]:![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X13)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(72, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/Temporal_Logic/EVENTUAL__LINORD', aHLu_BOOLu_CASES)).
fof(74, axiom,![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(75, axiom,![X14]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_numerals_numeralu_u_distribu_c27)).
fof(77, axiom,![X1]:![X22]:(p(s(t_bool,h4s_temporalu_u_logics_eventual(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X1))))<=>?[X5]: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,X5),s(t_h4s_nums_num,X1))))))),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_Temporalu_u_Logics_EVENTUAL0)).
fof(81, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/Temporal_Logic/EVENTUAL__LINORD', ah4s_numerals_numeralu_u_distribu_c1)).
# SZS output end CNFRefutation
