# 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]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X3))))<=>~(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X3))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c39)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', aHLu_FALSITY)).
fof(9, axiom,![X9]:![X10]:(s(t_bool,X10)=s(t_bool,X9)<=>((p(s(t_bool,X10))&p(s(t_bool,X9)))|(~(p(s(t_bool,X10)))&~(p(s(t_bool,X9)))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_bools_EQu_u_EXPAND)).
fof(31, axiom,![X8]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X8)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(52, axiom,![X3]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X3))))<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_Pastu_u_Temporalu_u_Logics_InitPoint0)).
fof(55, axiom,![X25]:![X23]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X23))),s(t_h4s_nums_num,X25))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X25))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X23),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X25)))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(56, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', aHLu_TRUTH)).
fof(57, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', aHLu_BOOLu_CASES)).
fof(59, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(74, axiom,![X7]:![X8]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_NOTu_u_LESS)).
fof(78, axiom,![X7]:![X8]:(~(s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,X7))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X8)))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(79, axiom,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X7)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(80, axiom,![X7]:![X8]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_LESSu_u_EQ)).
# SZS output end CNFRefutation
