# 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]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_peventual(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X3)))=s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c42)).
fof(25, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', aHLu_TRUTH)).
fof(26, 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_c42', aHLu_BOOLu_CASES)).
fof(42, axiom,![X24]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X24)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(51, axiom,![X26]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_peventual(s(t_fun(t_h4s_nums_num,t_bool),X26))),s(t_h4s_nums_num,X3))))<=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X26),s(t_h4s_nums_num,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),h4s_pastu_u_temporalu_u_logics_peventual(s(t_fun(t_h4s_nums_num,t_bool),X26))))),s(t_h4s_nums_num,X3)))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', ah4s_Pastu_u_Temporalu_u_Logics_RECURSIONu_c9)).
fof(56, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', aHLu_FALSITY)).
fof(66, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(79, axiom,![X25]:![X24]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X25)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X24))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c42', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
