# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))&(p(s(t_bool,h4s_setu_u_relations_strictu_u_linearu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_fun(X1,t_bool),X2))))&~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))=>?[X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_setu_u_relations_minimalu_u_elements(s(t_fun(X1,t_bool),X2),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))),file('i/f/set_relation/finite__strict__linear__order__has__minimal', ch4s_setu_u_relations_finiteu_u_strictu_u_linearu_u_orderu_u_hasu_u_minimal)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/set_relation/finite__strict__linear__order__has__minimal', aHLu_FALSITY)).
fof(18, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>(~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))=>![X3]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))=>?[X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_setu_u_relations_minimalu_u_elements(s(t_fun(X1,t_bool),X2),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))))),file('i/f/set_relation/finite__strict__linear__order__has__minimal', ah4s_setu_u_relations_finiteu_u_acyclicu_u_hasu_u_minimal)).
fof(22, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_setu_u_relations_strictu_u_linearu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))),file('i/f/set_relation/finite__strict__linear__order__has__minimal', ah4s_setu_u_relations_strictu_u_linearu_u_orderu_u_acyclic)).
fof(23, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/set_relation/finite__strict__linear__order__has__minimal', aHLu_BOOLu_CASES)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/set_relation/finite__strict__linear__order__has__minimal', aHLu_TRUTH)).
fof(27, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/set_relation/finite__strict__linear__order__has__minimal', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
