# 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,f)=>![X3]:![X4]:s(t_bool,h4s_temporalu_u_logics_before(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/Temporal_Logic/BEFORE__SIMP_c2', ch4s_Temporalu_u_Logics_BEFOREu_u_SIMPu_c2)).
fof(4, axiom,p(s(t_bool,t0)),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', aHLu_TRUTH)).
fof(5, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', aHLu_BOOLu_CASES)).
fof(19, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(38, axiom,![X16]:![X17]:![X3]:(p(s(t_bool,h4s_temporalu_u_logics_before(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,X16))))<=>?[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),X17),s(t_h4s_nums_num,X16))))&(?[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,X16)))))))&(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))&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,X16))))))))|![X2]:~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', ah4s_Temporalu_u_Logics_BEFORE0)).
fof(41, axiom,![X22]:(?[X23]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X23))))=>?[X23]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,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,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X24)))))))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', ah4s_arithmetics_WOP)).
fof(42, axiom,~(p(s(t_bool,f))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', aHLu_FALSITY)).
fof(56, axiom,![X23]:![X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X24))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', ah4s_arithmetics_ADDu_u_SYM)).
fof(59, axiom,![X16]:![X14]:![X17]:(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),X17),s(t_h4s_nums_num,X16))))<=>![X2]:(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X14),s(t_h4s_nums_num,X16)))=s(t_bool,f)&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X14),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16))))))))<=>(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,X16))))))|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))))))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', ah4s_Temporalu_u_Logics_WATCH0)).
fof(71, axiom,![X23]:![X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X24))),s(t_h4s_nums_num,X23)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))),file('i/f/Temporal_Logic/BEFORE__SIMP_c2', ah4s_arithmetics_ADDu_c1)).
# SZS output end CNFRefutation
