# 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)=>![X3]:![X4]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_psuntil(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X4)))=s(t_bool,f)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c46', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c46)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c46', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c46', aHLu_FALSITY)).
fof(4, 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_c46', aHLu_BOOLu_CASES)).
fof(62, axiom,![X23]:![X22]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_psuntil(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_fun(t_h4s_nums_num,t_bool),X22))),s(t_h4s_nums_num,X23))))<=>?[X24]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X24))))&![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),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,X23)))))=>(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X2))))&~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X2)))))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c46', ah4s_Pastu_u_Temporalu_u_Logics_PSUNTIL0)).
# SZS output end CNFRefutation
