# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_predu_u_sets_pairwise(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X1,t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_pairwise(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X1,t_bool),X3))))),file('i/f/pred_set/pairwise__SUBSET', ch4s_predu_u_sets_pairwiseu_u_SUBSET)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/pairwise__SUBSET', aHLu_TRUTH)).
fof(7, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/pred_set/pairwise__SUBSET', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X1]:![X3]:![X12]:(p(s(t_bool,h4s_predu_u_sets_pairwise(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(t_fun(X1,t_bool),X3))))<=>![X13]:![X14]:((p(s(t_bool,h4s_bools_in(s(X1,X13),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),X3)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X13))),s(X1,X14)))))),file('i/f/pred_set/pairwise__SUBSET', ah4s_predu_u_sets_pairwiseu_u_def)).
fof(13, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/pairwise__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(14, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/pairwise__SUBSET', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/pairwise__SUBSET', aHLu_FALSITY)).
# SZS output end CNFRefutation
