# 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]:![X4]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_puntil(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X4)))=s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c50', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c50)).
fof(24, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c50', aHLu_TRUTH)).
fof(25, 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_c50', aHLu_BOOLu_CASES)).
fof(57, axiom,![X26]:![X3]:![X21]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_puntil(s(t_fun(t_h4s_nums_num,t_bool),X21),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X26))))<=>(![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X26))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X21),s(t_h4s_nums_num,X2)))))|?[X28]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,X26))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X28))))&![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X26)))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X21),s(t_h4s_nums_num,X2))))&~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X2))))))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c50', ah4s_Pastu_u_Temporalu_u_Logics_PUNTIL0)).
fof(58, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c50', aHLu_FALSITY)).
# SZS output end CNFRefutation
