# 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)=>s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X1)))=s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_initpoint)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c36)).
fof(2, axiom,![X3]:![X4]:![X5]:![X6]:(![X7]:s(X4,happ(s(t_fun(X3,X4),X5),s(X3,X7)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X7)))=>s(t_fun(X3,X4),X5)=s(t_fun(X3,X4),X6)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', aHLu_EXT)).
fof(24, axiom,![X7]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_initpoint),s(t_h4s_nums_num,X7))))<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_Pastu_u_Temporalu_u_Logics_InitPoint0)).
fof(40, axiom,![X25]:![X19]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X19))),s(t_h4s_nums_num,X25))))<=>(s(t_h4s_nums_num,X25)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X19),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X25)))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(41, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', aHLu_FALSITY)).
fof(42, 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_c36', aHLu_BOOLu_CASES)).
fof(46, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t0))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(48, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(70, axiom,![X25]:![X19]:(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),X19))),s(t_h4s_nums_num,X25))))<=>?[X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X25))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X19),s(t_h4s_nums_num,X2)))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_Pastu_u_Temporalu_u_Logics_PEVENTUAL0)).
# SZS output end CNFRefutation
