# 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_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X4)))))<=>p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(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/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ch4s_Pastu_u_Temporalu_u_Logics_NEGATIONu_u_NORMALu_u_FORMu_c10)).
fof(2, 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/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(20, axiom,![X3]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))<=>(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X3)))))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(23, axiom,![X3]:![X2]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X3)))))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(24, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_primu_u_recs_PRE0u_c0)).
fof(28, axiom,![X23]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X23)))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(30, axiom,![X23]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X23))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(31, axiom,![X23]:![X21]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X23))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X23))))|s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,X23))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(32, axiom,![X23]:![X21]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X23)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,X23))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_arithmetics_LESSu_u_EQ)).
fof(33, axiom,![X23]:![X21]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X23)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X21))))),file('i/f/Past_Temporal_Logic/NEGATION__NORMAL__FORM_c10', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
