# 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,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X4)))=s(t_bool,t0)),file('i/f/Temporal_Logic/UNTIL__SIMP_c1', ch4s_Temporalu_u_Logics_UNTILu_u_SIMPu_c1)).
fof(17, 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/Temporal_Logic/UNTIL__SIMP_c1', ah4s_arithmetics_ADDu_u_SYM)).
fof(29, axiom,p(s(t_bool,t0)),file('i/f/Temporal_Logic/UNTIL__SIMP_c1', aHLu_TRUTH)).
fof(30, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Temporal_Logic/UNTIL__SIMP_c1', aHLu_BOOLu_CASES)).
fof(50, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/UNTIL__SIMP_c1', aHLu_FALSITY)).
fof(81, axiom,![X23]:![X3]:![X22]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_temporalu_u_logics_until(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X23))))<=>![X14]:(p(s(t_bool,h4s_temporalu_u_logics_watch(s(t_fun(t_h4s_nums_num,t_bool),X14),s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X23))))=>![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X14),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X23))))))|(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X23))))))|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,X23)))))))))),file('i/f/Temporal_Logic/UNTIL__SIMP_c1', ah4s_Temporalu_u_Logics_UNTILu_u_IMP)).
# SZS output end CNFRefutation
