# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_encodes_wfu_u_predu_u_bnum(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X2))))))),file('i/f/Encode/wf__encode__bnum', ch4s_Encodes_wfu_u_encodeu_u_bnum)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Encode/wf__encode__bnum', aHLu_FALSITY)).
fof(48, axiom,![X1]:![X2]:s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_encodes_collisionu_u_free(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))),file('i/f/Encode/wf__encode__bnum', ah4s_Encodes_wfu_u_encodeu_u_bnumu_u_collisionu_u_free)).
fof(75, axiom,![X1]:![X2]:(p(s(t_bool,h4s_encodes_wfu_u_predu_u_bnum(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_encodes_collisionu_u_free(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))),file('i/f/Encode/wf__encode__bnum', ah4s_Encodes_wfu_u_predu_u_bnum0)).
fof(77, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/Encode/wf__encode__bnum', aHLu_BOOLu_CASES)).
fof(78, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/Encode/wf__encode__bnum', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
