# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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/strict__linear__order__acyclic', ch4s_setu_u_relations_strictu_u_linearu_u_orderu_u_acyclic)).
fof(4, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/set_relation/strict__linear__order__acyclic', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(45, axiom,![X1]:![X3]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))<=>![X7]:~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X7),s(X1,X7))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))))))),file('i/f/set_relation/strict__linear__order__acyclic', ah4s_setu_u_relations_acyclicu_u_def)).
fof(62, 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_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_setu_u_relations_domain(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))),s(t_fun(X1,t_bool),X2))))&(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_setu_u_relations_range(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_transitive(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))&(![X7]:~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X7),s(X1,X7))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))))&![X7]:![X5]:((p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))&(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X2))))&~(s(X1,X7)=s(X1,X5))))=>(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X7),s(X1,X5))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))|p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X5),s(X1,X7))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))))))),file('i/f/set_relation/strict__linear__order__acyclic', ah4s_setu_u_relations_strictu_u_linearu_u_orderu_u_def)).
fof(71, axiom,![X1]:![X3]:(p(s(t_bool,h4s_setu_u_relations_transitive(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))=>s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))=s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)),file('i/f/set_relation/strict__linear__order__acyclic', ah4s_setu_u_relations_transitiveu_u_tc)).
# SZS output end CNFRefutation
