%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP340_1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:26:23 AM UTC 2026 % Result : Theorem 4.59s 4.89s % Output : Proof 4.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP340_1 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:01:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.64 %----Proving TF0_ARI % 4.59/4.89 --- Run --finite-model-find --decision=internal at 45... % 4.59/4.89 % SZS status Theorem % 4.59/4.89 % SZS output start Proof % 4.59/4.89 ( % 4.59/4.89 (declare-sort |tptp.'Nat_nat_bool_fun_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_iarray$'| 0) % 4.59/4.89 (declare-sort |tptp.'Rows_set$'| 0) % 4.59/4.89 (declare-sort |tptp.'A$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_iarray_set$'| 0) % 4.59/4.89 (declare-sort |tptp.'Nat_real_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_rows_vec$'| 0) % 4.59/4.89 (declare-sort |tptp.'Nat_bool_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_set_real_set_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_set_cols_set_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_set_bool_int_fun_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_set_bool_real_fun_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Int_cols_set_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_cols_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_real_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_int_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_cols_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Int_cols_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_real_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Nat_int_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Nat_nat_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols$'| 0) % 4.59/4.89 (declare-sort |tptp.'Rows$'| 0) % 4.59/4.89 (declare-sort |tptp.'Nat$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_set$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_set_int_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_cols_vec_rows_vec$'| 0) % 4.59/4.89 (declare-sort |tptp.'Int_int_bool_fun_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Int_bool_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_real_bool_fun_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_rows_vec_cols_vec$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_bool_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_bool_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Int_int_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Nat_a_iarray_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_cols_vec$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_cols_vec_cols_vec$'| 0) % 4.59/4.89 (declare-sort |tptp.'A_iarray_iarray$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_cols_bool_fun_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Bool_real_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_set$'| 0) % 4.59/4.89 (declare-sort |tptp.'Bool_int_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_set_bool_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Real_int_fun$'| 0) % 4.59/4.89 (declare-sort |tptp.'Cols_set_cols_set_bool_fun_fun$'| 0) % 4.59/4.89 (declare-sort tptp.tlbool 0) % 4.59/4.89 (declare-sort |tptp.'Int_real_fun$'| 0) % 4.59/4.89 (declare-const |tptp.'fun_app$ad'| (-> |tptp.'Nat_nat_bool_fun_fun$'| |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|)) % 4.59/4.89 (declare-const |tptp.'one$'| |tptp.'Cols$'|) % 4.59/4.89 (declare-const |tptp.'gauss_Jordan$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'zero$c'| |tptp.'A_cols_vec$'|) % 4.59/4.89 (declare-const |tptp.'of_fun$'| (-> |tptp.'Nat_a_iarray_fun$'| |tptp.'Nat$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'zero$a'| |tptp.'A_cols_vec_rows_vec$'|) % 4.59/4.89 (declare-const |tptp.'vec_nth$a'| (-> |tptp.'A_cols_vec$'| |tptp.'Cols$'| |tptp.'A$'|)) % 4.59/4.89 (declare-const |tptp.'vec_nth$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$ac'| (-> |tptp.'Nat_a_iarray_fun$'| |tptp.'Nat$'| |tptp.'A_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'sub$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat_a_iarray_fun$'|)) % 4.59/4.89 (declare-const |tptp.'vec_to_iarray$a'| (-> |tptp.'A_cols_vec$'| |tptp.'A_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'matrix_to_iarray$b'| (-> |tptp.'A_cols_vec_cols_vec$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'vec_to_iarray$'| (-> |tptp.'A_rows_vec$'| |tptp.'A_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'gauss_Jordan_upt_k$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Nat$'| |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'gauss_Jordan_upt_k_iarrays$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'nrows_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'ordering_top$'| (-> |tptp.'Cols_set_cols_set_bool_fun_fun$'| |tptp.'Cols_set_cols_set_bool_fun_fun$'| |tptp.'Cols_set$'| Bool)) % 4.59/4.89 (declare-const |tptp.'col_rank$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'ordering$a'| (-> |tptp.'Real_real_bool_fun_fun$'| |tptp.'Real_real_bool_fun_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'card$'| (-> |tptp.'Cols_set$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'ncols$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'mult_column$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Cols$'| |tptp.'A$'| |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'mult_column_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'| |tptp.'A$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$ab'| (-> |tptp.'Bool_real_fun$'| tptp.tlbool Real)) % 4.59/4.89 (declare-const |tptp.'top$'| |tptp.'Cols_set$'|) % 4.59/4.89 (declare-const tptp.tlfalse tptp.tlbool) % 4.59/4.89 (declare-const |tptp.'column_add$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Cols$'| |tptp.'Cols$'| |tptp.'A$'| |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'column_add_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'| |tptp.'Nat$'| |tptp.'A$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'basis_null_space_iarrays$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'A_iarray_set$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$z'| (-> |tptp.'Nat_real_fun$'| |tptp.'Nat$'| Real)) % 4.59/4.89 (declare-const |tptp.'ordering$'| (-> |tptp.'Int_int_bool_fun_fun$'| |tptp.'Int_int_bool_fun_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'transpose_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'matrix_to_iarray$a'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'iarray_to_matrix$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'column$b'| (-> |tptp.'Cols$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'row$b'| (-> |tptp.'Cols$'| |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'column$a'| (-> |tptp.'Rows$'| |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'preordering_bdd$a'| (-> |tptp.'Real_real_bool_fun_fun$'| |tptp.'Real_real_bool_fun_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'column$'| (-> |tptp.'Cols$'| |tptp.'A_cols_vec_cols_vec$'| |tptp.'A_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$y'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'row_iarray$'| (-> |tptp.'Nat$'| |tptp.'A_iarray_iarray$'| |tptp.'A_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$x'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool)) % 4.59/4.89 (declare-const |tptp.'length$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$v'| (-> |tptp.'Real_set_cols_set_fun$'| |tptp.'Real_set$'| |tptp.'Cols_set$'|)) % 4.59/4.89 (declare-const |tptp.'less_eq$a'| |tptp.'Cols_cols_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'less_eq$'| (-> |tptp.'Rows$'| |tptp.'Rows$'| Bool)) % 4.59/4.89 (declare-const |tptp.'fun_app$f'| (-> |tptp.'Cols_cols_bool_fun_fun$'| |tptp.'Cols$'| |tptp.'Cols_bool_fun$'|)) % 4.59/4.89 (declare-const |tptp.'top$a'| |tptp.'Rows_set$'|) % 4.59/4.89 (declare-const |tptp.'matrix_to_iarray$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$u'| (-> |tptp.'Real_set_bool_int_fun_fun$'| |tptp.'Real_set$'| |tptp.'Bool_int_fun$'|)) % 4.59/4.89 (declare-const |tptp.'to_nat$a'| (-> |tptp.'Rows$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'rank$b'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'from_nat$'| (-> |tptp.'Nat$'| |tptp.'Cols$'|)) % 4.59/4.89 (declare-const |tptp.'row_rank$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'from_nat$a'| (-> |tptp.'Nat$'| |tptp.'Rows$'|)) % 4.59/4.89 (declare-const |tptp.'row$'| (-> |tptp.'Cols$'| |tptp.'A_cols_vec_cols_vec$'| |tptp.'A_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$w'| (-> |tptp.'Real_set_real_set_fun$'| |tptp.'Real_set$'| |tptp.'Real_set$'|)) % 4.59/4.89 (declare-const |tptp.'p_Gauss_Jordan$'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_cols_vec_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'preordering_bdd$'| (-> |tptp.'Int_int_bool_fun_fun$'| |tptp.'Int_int_bool_fun_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'fun_app$l'| (-> |tptp.'Real_real_fun$'| Real Real)) % 4.59/4.89 (declare-const |tptp.'fun_app$s'| (-> |tptp.'Cols_set_int_fun$'| |tptp.'Cols_set$'| Int)) % 4.59/4.89 (declare-const |tptp.'less$d'| (-> |tptp.'Bool_real_fun$'| |tptp.'Bool_real_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'transpose$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_rows_vec_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'rank$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'uud$'| |tptp.'Real_real_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'fun_app$k'| (-> |tptp.'Real_int_fun$'| Real Int)) % 4.59/4.89 (declare-const |tptp.'fun_app$a'| (-> |tptp.'Real_real_bool_fun_fun$'| Real |tptp.'Real_bool_fun$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$j'| (-> |tptp.'Int_real_fun$'| Int Real)) % 4.59/4.89 (declare-const |tptp.'uuc$'| |tptp.'Int_int_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'uu$'| (-> |tptp.'Real_set$'| |tptp.'Real_bool_fun$'|)) % 4.59/4.89 (declare-const |tptp.'a$'| |tptp.'A_cols_vec_rows_vec$'|) % 4.59/4.89 (declare-const |tptp.'fun_app$b'| (-> |tptp.'Int_bool_fun$'| Int Bool)) % 4.59/4.89 (declare-const |tptp.'fun_app$e'| (-> |tptp.'Cols_bool_fun$'| |tptp.'Cols$'| Bool)) % 4.59/4.89 (declare-const |tptp.'basis_left_null_space_iarrays$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'A_iarray_set$'|)) % 4.59/4.89 (declare-const |tptp.'less_eq$d'| |tptp.'Cols_set_cols_set_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'row$a'| (-> |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'transpose$a'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$'| (-> |tptp.'Real_bool_fun$'| Real Bool)) % 4.59/4.89 (declare-const |tptp.'rank_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'of_nat$'| |tptp.'Nat_int_fun$'|) % 4.59/4.89 (declare-const |tptp.'i$'| |tptp.'Nat$'|) % 4.59/4.89 (declare-const |tptp.'ncols_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'column_iarray$'| (-> |tptp.'Nat$'| |tptp.'A_iarray_iarray$'| |tptp.'A_iarray$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$p'| (-> |tptp.'Cols_real_fun$'| |tptp.'Cols$'| Real)) % 4.59/4.89 (declare-const |tptp.'fun_app$d'| (-> |tptp.'Nat_int_fun$'| |tptp.'Nat$'| Int)) % 4.59/4.89 (declare-const |tptp.'card$a'| (-> |tptp.'Rows_set$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'member$'| (-> Real |tptp.'Real_set$'| Bool)) % 4.59/4.89 (declare-const |tptp.'to_nat$'| (-> |tptp.'Cols$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'transpose$b'| (-> |tptp.'A_cols_vec_cols_vec$'| |tptp.'A_cols_vec_cols_vec$'|)) % 4.59/4.89 (declare-const |tptp.'zero$'| |tptp.'Cols$'|) % 4.59/4.89 (declare-const |tptp.'less_eq$b'| (-> |tptp.'Bool_real_fun$'| |tptp.'Bool_real_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'less_eq$c'| (-> |tptp.'Bool_int_fun$'| |tptp.'Bool_int_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'fun_app$c'| (-> |tptp.'Int_int_bool_fun_fun$'| Int |tptp.'Int_bool_fun$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$h'| (-> |tptp.'Cols_set_cols_set_bool_fun_fun$'| |tptp.'Cols_set$'| |tptp.'Cols_set_bool_fun$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$g'| (-> |tptp.'Cols_set_bool_fun$'| |tptp.'Cols_set$'| Bool)) % 4.59/4.89 (declare-const |tptp.'collect$'| (-> |tptp.'Real_bool_fun$'| |tptp.'Real_set$'|)) % 4.59/4.89 (declare-const |tptp.'length$a'| (-> |tptp.'A_iarray$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$o'| (-> |tptp.'Cols_int_fun$'| |tptp.'Cols$'| Int)) % 4.59/4.89 (declare-const |tptp.'zero$b'| |tptp.'A_rows_vec_cols_vec$'|) % 4.59/4.89 (declare-const |tptp.'less_eq$e'| (-> |tptp.'Real_set$'| |tptp.'Real_set$'| Bool)) % 4.59/4.89 (declare-const |tptp.'fun_app$aa'| (-> |tptp.'Bool_int_fun$'| tptp.tlbool Int)) % 4.59/4.89 (declare-const |tptp.'rank$a'| (-> |tptp.'A_cols_vec_cols_vec$'| |tptp.'Nat$'|)) % 4.59/4.89 (declare-const |tptp.'less$'| |tptp.'Cols_cols_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'less$a'| |tptp.'Cols_set_cols_set_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'fun_app$i'| (-> |tptp.'Int_int_fun$'| Int Int)) % 4.59/4.89 (declare-const |tptp.'less$b'| (-> |tptp.'Real_set$'| |tptp.'Real_set$'| Bool)) % 4.59/4.89 (declare-const |tptp.'uub$'| |tptp.'Real_real_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'less$c'| (-> |tptp.'Rows$'| |tptp.'Rows$'| Bool)) % 4.59/4.89 (declare-const tptp.tltrue tptp.tlbool) % 4.59/4.89 (declare-const |tptp.'fun_app$m'| (-> |tptp.'Int_cols_fun$'| Int |tptp.'Cols$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$n'| (-> |tptp.'Real_cols_fun$'| Real |tptp.'Cols$'|)) % 4.59/4.89 (declare-const |tptp.'fun_app$r'| (-> |tptp.'Int_cols_set_fun$'| Int |tptp.'Cols_set$'|)) % 4.59/4.89 (declare-const |tptp.'uua$'| |tptp.'Int_int_bool_fun_fun$'|) % 4.59/4.89 (declare-const |tptp.'fun_app$q'| (-> |tptp.'Cols_cols_fun$'| |tptp.'Cols$'| |tptp.'Cols$'|)) % 4.59/4.89 (declare-const |tptp.'sub$a'| (-> |tptp.'A_iarray$'| |tptp.'Nat$'| |tptp.'A$'|)) % 4.59/4.89 (declare-const |tptp.'less$e'| (-> |tptp.'Bool_int_fun$'| |tptp.'Bool_int_fun$'| Bool)) % 4.59/4.89 (declare-const |tptp.'fun_app$t'| (-> |tptp.'Real_set_bool_real_fun_fun$'| |tptp.'Real_set$'| |tptp.'Bool_real_fun$'|)) % 4.59/4.89 (define @t1 () (@var "A__questionmark_v1" Real)) % 4.59/4.89 (define @t2 () (@var "A__questionmark_v0" Real)) % 4.59/4.89 (define @t3 () (<= @t2 @t1)) % 4.59/4.89 (define @t4 () (@list @t2 @t1)) % 4.59/4.89 (define @t5 () (@var "A__questionmark_v1" Int)) % 4.59/4.89 (define @t6 () (@var "A__questionmark_v0" Int)) % 4.59/4.89 (define @t7 () (<= @t6 @t5)) % 4.59/4.89 (define @t8 () (@list @t6 @t5)) % 4.59/4.89 (define @t9 () (< @t2 @t1)) % 4.59/4.89 (define @t10 () (< @t6 @t5)) % 4.59/4.89 (define @t11 () (@var "A__questionmark_v0" |tptp.'Real_set$'|)) % 4.59/4.89 (define @t12 () (|tptp.'member$'| @t1 @t11)) % 4.59/4.89 (define @t13 () (|tptp.'uu$'| @t11)) % 4.59/4.89 (define @t14 () (@var "A__questionmark_v0" |tptp.'Cols$'|)) % 4.59/4.89 (define @t15 () (|tptp.'to_nat$'| @t14)) % 4.59/4.89 (define @t16 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t15)) % 4.59/4.89 (define @t17 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$'| |tptp.'a$'|))) % 4.59/4.89 (define @t18 () (|tptp.'p_Gauss_Jordan$'| (|tptp.'transpose$'| |tptp.'a$'|))) % 4.59/4.89 (define @t19 () (|tptp.'from_nat$'| |tptp.'i$'|)) % 4.59/4.89 (define @t20 () (|tptp.'row$'| @t19 @t18)) % 4.59/4.89 (define @t21 () (= @t20 (|tptp.'row$'| @t14 @t18))) % 4.59/4.89 (define @t22 () (and @t21 (<= @t17 @t16))) % 4.59/4.89 (define @t23 () (@list @t14)) % 4.59/4.89 (define @t24 () (exists @t23 @t22)) % 4.59/4.89 (define @t25 () (not @t24)) % 4.59/4.89 (define @t26 () (@var "A__questionmark_v0" |tptp.'Rows$'|)) % 4.59/4.89 (define @t27 () (|tptp.'to_nat$a'| @t26)) % 4.59/4.89 (define @t28 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| |tptp.'i$'|)) % 4.59/4.89 (define @t29 () (|tptp.'matrix_to_iarray$'| |tptp.'a$'|)) % 4.59/4.89 (define @t30 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank_iarray$'| @t29))) % 4.59/4.89 (define @t31 () (@var "A__questionmark_v1" |tptp.'Rows$'|)) % 4.59/4.89 (define @t32 () (|tptp.'to_nat$a'| @t31)) % 4.59/4.89 (define @t33 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t32)) % 4.59/4.89 (define @t34 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t27)) % 4.59/4.89 (define @t35 () (@list @t26 @t31)) % 4.59/4.89 (define @t36 () (@var "A__questionmark_v1" |tptp.'Cols$'|)) % 4.59/4.89 (define @t37 () (|tptp.'to_nat$'| @t36)) % 4.59/4.89 (define @t38 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t37)) % 4.59/4.89 (define @t39 () (|tptp.'fun_app$f'| |tptp.'less_eq$a'| @t14)) % 4.59/4.89 (define @t40 () (|tptp.'fun_app$e'| @t39 @t36)) % 4.59/4.89 (define @t41 () (@list @t14 @t36)) % 4.59/4.89 (define @t42 () (@var "A__questionmark_v1" |tptp.'A_rows_vec_cols_vec$'|)) % 4.59/4.89 (define @t43 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_cols_vec$'|)) % 4.59/4.89 (define @t44 () (|tptp.'transpose$a'| @t43)) % 4.59/4.89 (define @t45 () (@var "A__questionmark_v1" |tptp.'A_cols_vec_cols_vec$'|)) % 4.59/4.89 (define @t46 () (@var "A__questionmark_v0" |tptp.'A_cols_vec_cols_vec$'|)) % 4.59/4.89 (define @t47 () (|tptp.'transpose$b'| @t45)) % 4.59/4.89 (define @t48 () (|tptp.'transpose$b'| @t46)) % 4.59/4.89 (define @t49 () (@var "A__questionmark_v1" |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (define @t50 () (@var "A__questionmark_v0" |tptp.'A_cols_vec_rows_vec$'|)) % 4.59/4.89 (define @t51 () (= @t50 @t49)) % 4.59/4.89 (define @t52 () (|tptp.'transpose$'| @t49)) % 4.59/4.89 (define @t53 () (|tptp.'transpose$'| @t50)) % 4.59/4.89 (define @t54 () (@list @t50 @t49)) % 4.59/4.89 (define @t55 () (@list @t46)) % 4.59/4.89 (define @t56 () (@list @t50)) % 4.59/4.89 (define @t57 () (@list @t43)) % 4.59/4.89 (define @t58 () (= @t14 @t36)) % 4.59/4.89 (define @t59 () (@var "A__questionmark_v0" |tptp.'Bool_real_fun$'|)) % 4.59/4.89 (define @t60 () (@var "A__questionmark_v0" |tptp.'Bool_int_fun$'|)) % 4.59/4.89 (define @t61 () (@var "A__questionmark_v0" |tptp.'Cols_set$'|)) % 4.59/4.89 (define @t62 () (|tptp.'fun_app$h'| |tptp.'less_eq$d'| @t61)) % 4.59/4.89 (define @t63 () (@list @t61)) % 4.59/4.89 (define @t64 () (@list @t11)) % 4.59/4.89 (define @t65 () (@list @t6)) % 4.59/4.89 (define @t66 () (@list @t2)) % 4.59/4.89 (define @t67 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$'| @t50))) % 4.59/4.89 (define @t68 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 4.59/4.89 (define @t69 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t68)) % 4.59/4.89 (define @t70 () (|tptp.'from_nat$'| @t68)) % 4.59/4.89 (define @t71 () (@list @t14 @t68)) % 4.59/4.89 (define @t72 () (< @t5 @t6)) % 4.59/4.89 (define @t73 () (@list @t5)) % 4.59/4.89 (define @t74 () (< @t1 @t2)) % 4.59/4.89 (define @t75 () (@list @t1)) % 4.59/4.89 (define @t76 () (|tptp.'fun_app$f'| |tptp.'less$'| @t14)) % 4.59/4.89 (define @t77 () (|tptp.'fun_app$e'| @t76 @t36)) % 4.59/4.89 (define @t78 () (=> @t77 false)) % 4.59/4.89 (define @t79 () (|tptp.'fun_app$f'| |tptp.'less$'| @t36)) % 4.59/4.89 (define @t80 () (|tptp.'fun_app$e'| @t79 @t14)) % 4.59/4.89 (define @t81 () (=> @t80 false)) % 4.59/4.89 (define @t82 () (not @t58)) % 4.59/4.89 (define @t83 () (@var "A__questionmark_v2" Real)) % 4.59/4.89 (define @t84 () (< @t83 @t1)) % 4.59/4.89 (define @t85 () (< @t2 @t83)) % 4.59/4.89 (define @t86 () (@list @t83)) % 4.59/4.89 (define @t87 () (@var "A__questionmark_v1" |tptp.'Cols_set$'|)) % 4.59/4.89 (define @t88 () (= @t61 @t87)) % 4.59/4.89 (define @t89 () (|tptp.'fun_app$h'| |tptp.'less$a'| @t61)) % 4.59/4.89 (define @t90 () (|tptp.'fun_app$g'| @t89 @t87)) % 4.59/4.89 (define @t91 () (@list @t61 @t87)) % 4.59/4.89 (define @t92 () (@var "A__questionmark_v1" |tptp.'Real_set$'|)) % 4.59/4.89 (define @t93 () (= @t11 @t92)) % 4.59/4.89 (define @t94 () (|tptp.'less$b'| @t11 @t92)) % 4.59/4.89 (define @t95 () (@list @t11 @t92)) % 4.59/4.89 (define @t96 () (= @t6 @t5)) % 4.59/4.89 (define @t97 () (not @t96)) % 4.59/4.89 (define @t98 () (= @t2 @t1)) % 4.59/4.89 (define @t99 () (not @t98)) % 4.59/4.89 (define @t100 () (|tptp.'fun_app$h'| |tptp.'less$a'| @t87)) % 4.59/4.89 (define @t101 () (|tptp.'fun_app$g'| @t100 @t61)) % 4.59/4.89 (define @t102 () (|tptp.'less$b'| @t92 @t11)) % 4.59/4.89 (define @t103 () (@var "A__questionmark_v2" |tptp.'Cols$'|)) % 4.59/4.89 (define @t104 () (|tptp.'fun_app$f'| |tptp.'less$'| @t103)) % 4.59/4.89 (define @t105 () (|tptp.'fun_app$e'| @t104 @t36)) % 4.59/4.89 (define @t106 () (|tptp.'fun_app$e'| @t104 @t14)) % 4.59/4.89 (define @t107 () (@list @t14 @t36 @t103)) % 4.59/4.89 (define @t108 () (@var "A__questionmark_v0" |tptp.'Cols_bool_fun$'|)) % 4.59/4.89 (define @t109 () (|tptp.'fun_app$e'| @t108 @t36)) % 4.59/4.89 (define @t110 () (|tptp.'fun_app$e'| @t108 @t103)) % 4.59/4.89 (define @t111 () (@var "A__questionmark_v3" |tptp.'Cols$'|)) % 4.59/4.89 (define @t112 () (|tptp.'fun_app$e'| @t108 @t111)) % 4.59/4.89 (define @t113 () (|tptp.'fun_app$e'| @t104 @t111)) % 4.59/4.89 (define @t114 () (@list @t111)) % 4.59/4.89 (define @t115 () (@list @t103)) % 4.59/4.89 (define @t116 () (@list @t108 @t36)) % 4.59/4.89 (define @t117 () (= @t36 @t14)) % 4.59/4.89 (define @t118 () (|tptp.'fun_app$e'| @t76 @t103)) % 4.59/4.89 (define @t119 () (|tptp.'fun_app$e'| @t79 @t103)) % 4.59/4.89 (define @t120 () (@var "A__questionmark_v2" |tptp.'Cols_set$'|)) % 4.59/4.89 (define @t121 () (|tptp.'fun_app$g'| @t89 @t120)) % 4.59/4.89 (define @t122 () (|tptp.'fun_app$g'| @t100 @t120)) % 4.59/4.89 (define @t123 () (@list @t61 @t87 @t120)) % 4.59/4.89 (define @t124 () (@var "A__questionmark_v2" |tptp.'Real_set$'|)) % 4.59/4.89 (define @t125 () (|tptp.'less$b'| @t11 @t124)) % 4.59/4.89 (define @t126 () (|tptp.'less$b'| @t92 @t124)) % 4.59/4.89 (define @t127 () (@list @t11 @t92 @t124)) % 4.59/4.89 (define @t128 () (@var "A__questionmark_v2" Int)) % 4.59/4.89 (define @t129 () (< @t6 @t128)) % 4.59/4.89 (define @t130 () (< @t5 @t128)) % 4.59/4.89 (define @t131 () (@list @t6 @t5 @t128)) % 4.59/4.89 (define @t132 () (< @t1 @t83)) % 4.59/4.89 (define @t133 () (@list @t2 @t1 @t83)) % 4.59/4.89 (define @t134 () (= @t5 @t128)) % 4.59/4.89 (define @t135 () (= @t1 @t83)) % 4.59/4.89 (define @t136 () (|tptp.'fun_app$f'| |tptp.'less$'| @t111)) % 4.59/4.89 (define @t137 () (not @t80)) % 4.59/4.89 (define @t138 () (not @t77)) % 4.59/4.89 (define @t139 () (= @t5 @t6)) % 4.59/4.89 (define @t140 () (not @t72)) % 4.59/4.89 (define @t141 () (not @t10)) % 4.59/4.89 (define @t142 () (= @t1 @t2)) % 4.59/4.89 (define @t143 () (not @t74)) % 4.59/4.89 (define @t144 () (not @t9)) % 4.59/4.89 (define @t145 () (@var "A__questionmark_v2" tptp.tlbool)) % 4.59/4.89 (define @t146 () (= @t145 tptp.tltrue)) % 4.59/4.89 (define @t147 () (=> @t72 false)) % 4.59/4.89 (define @t148 () (=> @t10 false)) % 4.59/4.89 (define @t149 () (=> @t74 false)) % 4.59/4.89 (define @t150 () (=> @t9 false)) % 4.59/4.89 (define @t151 () (not @t110)) % 4.59/4.89 (define @t152 () (@list @t36)) % 4.59/4.89 (define @t153 () (exists @t152 @t109)) % 4.59/4.89 (define @t154 () (@list @t108)) % 4.59/4.89 (define @t155 () (< @t6 @t6)) % 4.59/4.89 (define @t156 () (< @t2 @t2)) % 4.59/4.89 (define @t157 () (@var "A__questionmark_v1" |tptp.'Real_bool_fun$'|)) % 4.59/4.89 (define @t158 () (|tptp.'collect$'| @t157)) % 4.59/4.89 (define @t159 () (@var "A__questionmark_v0" |tptp.'Real_bool_fun$'|)) % 4.59/4.89 (define @t160 () (@var "A__questionmark_v0" |tptp.'Cols_cols_bool_fun_fun$'|)) % 4.59/4.89 (define @t161 () (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| @t160 @t36) @t103)) % 4.59/4.89 (define @t162 () (@var "A__questionmark_v4" |tptp.'Cols$'|)) % 4.59/4.89 (define @t163 () (|tptp.'fun_app$f'| @t160 @t111)) % 4.59/4.89 (define @t164 () (|tptp.'fun_app$e'| @t163 @t162)) % 4.59/4.89 (define @t165 () (@list @t111 @t162)) % 4.59/4.89 (define @t166 () (forall @t165 (=> (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| @t160 @t162) @t111) @t164))) % 4.59/4.89 (define @t167 () (forall @t114 (|tptp.'fun_app$e'| @t163 @t111))) % 4.59/4.89 (define @t168 () (@list @t160 @t36 @t103)) % 4.59/4.89 (define @t169 () (@var "A__questionmark_v0" |tptp.'Int_int_bool_fun_fun$'|)) % 4.59/4.89 (define @t170 () (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| @t169 @t5) @t128)) % 4.59/4.89 (define @t171 () (@var "A__questionmark_v4" Int)) % 4.59/4.89 (define @t172 () (@var "A__questionmark_v3" Int)) % 4.59/4.89 (define @t173 () (|tptp.'fun_app$c'| @t169 @t172)) % 4.59/4.89 (define @t174 () (|tptp.'fun_app$b'| @t173 @t171)) % 4.59/4.89 (define @t175 () (@list @t172 @t171)) % 4.59/4.89 (define @t176 () (forall @t175 (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| @t169 @t171) @t172) @t174))) % 4.59/4.89 (define @t177 () (@list @t169 @t5 @t128)) % 4.59/4.89 (define @t178 () (@var "A__questionmark_v0" |tptp.'Real_real_bool_fun_fun$'|)) % 4.59/4.89 (define @t179 () (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t178 @t1) @t83)) % 4.59/4.89 (define @t180 () (@var "A__questionmark_v4" Real)) % 4.59/4.89 (define @t181 () (@var "A__questionmark_v3" Real)) % 4.59/4.89 (define @t182 () (|tptp.'fun_app$a'| @t178 @t181)) % 4.59/4.89 (define @t183 () (|tptp.'fun_app$'| @t182 @t180)) % 4.59/4.89 (define @t184 () (@list @t181 @t180)) % 4.59/4.89 (define @t185 () (forall @t184 (=> (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t178 @t180) @t181) @t183))) % 4.59/4.89 (define @t186 () (@list @t181)) % 4.59/4.89 (define @t187 () (@list @t178 @t1 @t83)) % 4.59/4.89 (define @t188 () (|tptp.'fun_app$f'| |tptp.'less$'| @t162)) % 4.59/4.89 (define @t189 () (|tptp.'fun_app$h'| |tptp.'less$a'| @t120)) % 4.59/4.89 (define @t190 () (< @t128 @t5)) % 4.59/4.89 (define @t191 () (< @t128 @t6)) % 4.59/4.89 (define @t192 () (< @t83 @t2)) % 4.59/4.89 (define @t193 () (= @t87 @t61)) % 4.59/4.89 (define @t194 () (= @t92 @t11)) % 4.59/4.89 (define @t195 () (not @t139)) % 4.59/4.89 (define @t196 () (not @t142)) % 4.59/4.89 (define @t197 () (@var "A__questionmark_v1" |tptp.'Int_int_fun$'|)) % 4.59/4.89 (define @t198 () (|tptp.'fun_app$i'| @t197 @t172)) % 4.59/4.89 (define @t199 () (< @t6 @t198)) % 4.59/4.89 (define @t200 () (@var "A__questionmark_v5" Int)) % 4.59/4.89 (define @t201 () (|tptp.'fun_app$i'| @t197 @t200)) % 4.59/4.89 (define @t202 () (|tptp.'fun_app$i'| @t197 @t171)) % 4.59/4.89 (define @t203 () (< @t171 @t200)) % 4.59/4.89 (define @t204 () (@list @t171 @t200)) % 4.59/4.89 (define @t205 () (forall @t204 (=> @t203 (< @t202 @t201)))) % 4.59/4.89 (define @t206 () (< @t128 @t172)) % 4.59/4.89 (define @t207 () (|tptp.'fun_app$i'| @t197 @t128)) % 4.59/4.89 (define @t208 () (= @t6 @t207)) % 4.59/4.89 (define @t209 () (@list @t6 @t197 @t128 @t172)) % 4.59/4.89 (define @t210 () (@var "A__questionmark_v1" |tptp.'Int_real_fun$'|)) % 4.59/4.89 (define @t211 () (|tptp.'fun_app$j'| @t210 @t172)) % 4.59/4.89 (define @t212 () (< @t2 @t211)) % 4.59/4.89 (define @t213 () (|tptp.'fun_app$j'| @t210 @t200)) % 4.59/4.89 (define @t214 () (|tptp.'fun_app$j'| @t210 @t171)) % 4.59/4.89 (define @t215 () (forall @t204 (=> @t203 (< @t214 @t213)))) % 4.59/4.89 (define @t216 () (|tptp.'fun_app$j'| @t210 @t128)) % 4.59/4.89 (define @t217 () (= @t2 @t216)) % 4.59/4.89 (define @t218 () (@list @t2 @t210 @t128 @t172)) % 4.59/4.89 (define @t219 () (@var "A__questionmark_v1" |tptp.'Real_int_fun$'|)) % 4.59/4.89 (define @t220 () (|tptp.'fun_app$k'| @t219 @t181)) % 4.59/4.89 (define @t221 () (< @t6 @t220)) % 4.59/4.89 (define @t222 () (@var "A__questionmark_v5" Real)) % 4.59/4.89 (define @t223 () (|tptp.'fun_app$k'| @t219 @t222)) % 4.59/4.89 (define @t224 () (|tptp.'fun_app$k'| @t219 @t180)) % 4.59/4.89 (define @t225 () (< @t180 @t222)) % 4.59/4.89 (define @t226 () (@list @t180 @t222)) % 4.59/4.89 (define @t227 () (forall @t226 (=> @t225 (< @t224 @t223)))) % 4.59/4.89 (define @t228 () (< @t83 @t181)) % 4.59/4.89 (define @t229 () (|tptp.'fun_app$k'| @t219 @t83)) % 4.59/4.89 (define @t230 () (= @t6 @t229)) % 4.59/4.89 (define @t231 () (@list @t6 @t219 @t83 @t181)) % 4.59/4.89 (define @t232 () (@var "A__questionmark_v1" |tptp.'Real_real_fun$'|)) % 4.59/4.89 (define @t233 () (|tptp.'fun_app$l'| @t232 @t181)) % 4.59/4.89 (define @t234 () (< @t2 @t233)) % 4.59/4.89 (define @t235 () (|tptp.'fun_app$l'| @t232 @t222)) % 4.59/4.89 (define @t236 () (|tptp.'fun_app$l'| @t232 @t180)) % 4.59/4.89 (define @t237 () (forall @t226 (=> @t225 (< @t236 @t235)))) % 4.59/4.89 (define @t238 () (|tptp.'fun_app$l'| @t232 @t83)) % 4.59/4.89 (define @t239 () (= @t2 @t238)) % 4.59/4.89 (define @t240 () (@list @t2 @t232 @t83 @t181)) % 4.59/4.89 (define @t241 () (@var "A__questionmark_v1" |tptp.'Int_cols_fun$'|)) % 4.59/4.89 (define @t242 () (|tptp.'fun_app$e'| @t76 (|tptp.'fun_app$m'| @t241 @t172))) % 4.59/4.89 (define @t243 () (forall @t204 (=> @t203 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$m'| @t241 @t171)) (|tptp.'fun_app$m'| @t241 @t200))))) % 4.59/4.89 (define @t244 () (|tptp.'fun_app$m'| @t241 @t128)) % 4.59/4.89 (define @t245 () (@list @t14 @t241 @t128 @t172)) % 4.59/4.89 (define @t246 () (@var "A__questionmark_v1" |tptp.'Real_cols_fun$'|)) % 4.59/4.89 (define @t247 () (|tptp.'fun_app$e'| @t76 (|tptp.'fun_app$n'| @t246 @t181))) % 4.59/4.89 (define @t248 () (forall @t226 (=> @t225 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$n'| @t246 @t180)) (|tptp.'fun_app$n'| @t246 @t222))))) % 4.59/4.89 (define @t249 () (|tptp.'fun_app$n'| @t246 @t83)) % 4.59/4.89 (define @t250 () (@list @t14 @t246 @t83 @t181)) % 4.59/4.89 (define @t251 () (@var "A__questionmark_v1" |tptp.'Cols_int_fun$'|)) % 4.59/4.89 (define @t252 () (< @t6 (|tptp.'fun_app$o'| @t251 @t111))) % 4.59/4.89 (define @t253 () (@var "A__questionmark_v5" |tptp.'Cols$'|)) % 4.59/4.89 (define @t254 () (|tptp.'fun_app$e'| @t188 @t253)) % 4.59/4.89 (define @t255 () (@list @t162 @t253)) % 4.59/4.89 (define @t256 () (forall @t255 (=> @t254 (< (|tptp.'fun_app$o'| @t251 @t162) (|tptp.'fun_app$o'| @t251 @t253))))) % 4.59/4.89 (define @t257 () (|tptp.'fun_app$o'| @t251 @t103)) % 4.59/4.89 (define @t258 () (@list @t6 @t251 @t103 @t111)) % 4.59/4.89 (define @t259 () (@var "A__questionmark_v1" |tptp.'Cols_real_fun$'|)) % 4.59/4.89 (define @t260 () (< @t2 (|tptp.'fun_app$p'| @t259 @t111))) % 4.59/4.89 (define @t261 () (forall @t255 (=> @t254 (< (|tptp.'fun_app$p'| @t259 @t162) (|tptp.'fun_app$p'| @t259 @t253))))) % 4.59/4.89 (define @t262 () (|tptp.'fun_app$p'| @t259 @t103)) % 4.59/4.89 (define @t263 () (@list @t2 @t259 @t103 @t111)) % 4.59/4.89 (define @t264 () (@var "A__questionmark_v1" |tptp.'Cols_cols_fun$'|)) % 4.59/4.89 (define @t265 () (|tptp.'fun_app$e'| @t76 (|tptp.'fun_app$q'| @t264 @t111))) % 4.59/4.89 (define @t266 () (forall @t255 (=> @t254 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$q'| @t264 @t162)) (|tptp.'fun_app$q'| @t264 @t253))))) % 4.59/4.89 (define @t267 () (|tptp.'fun_app$q'| @t264 @t103)) % 4.59/4.89 (define @t268 () (@list @t14 @t264 @t103 @t111)) % 4.59/4.89 (define @t269 () (@var "A__questionmark_v1" |tptp.'Int_cols_set_fun$'|)) % 4.59/4.89 (define @t270 () (@var "A__questionmark_v2" |tptp.'Int_int_fun$'|)) % 4.59/4.89 (define @t271 () (|tptp.'fun_app$i'| @t270 @t6)) % 4.59/4.89 (define @t272 () (< @t271 @t172)) % 4.59/4.89 (define @t273 () (|tptp.'fun_app$i'| @t270 @t200)) % 4.59/4.89 (define @t274 () (|tptp.'fun_app$i'| @t270 @t171)) % 4.59/4.89 (define @t275 () (forall @t204 (=> @t203 (< @t274 @t273)))) % 4.59/4.89 (define @t276 () (|tptp.'fun_app$i'| @t270 @t5)) % 4.59/4.89 (define @t277 () (= @t276 @t172)) % 4.59/4.89 (define @t278 () (@list @t6 @t5 @t270 @t172)) % 4.59/4.89 (define @t279 () (@var "A__questionmark_v2" |tptp.'Int_real_fun$'|)) % 4.59/4.89 (define @t280 () (|tptp.'fun_app$j'| @t279 @t6)) % 4.59/4.89 (define @t281 () (< @t280 @t181)) % 4.59/4.89 (define @t282 () (|tptp.'fun_app$j'| @t279 @t200)) % 4.59/4.89 (define @t283 () (|tptp.'fun_app$j'| @t279 @t171)) % 4.59/4.89 (define @t284 () (forall @t204 (=> @t203 (< @t283 @t282)))) % 4.59/4.89 (define @t285 () (|tptp.'fun_app$j'| @t279 @t5)) % 4.59/4.89 (define @t286 () (= @t285 @t181)) % 4.59/4.89 (define @t287 () (@list @t6 @t5 @t279 @t181)) % 4.59/4.89 (define @t288 () (@var "A__questionmark_v2" |tptp.'Real_int_fun$'|)) % 4.59/4.89 (define @t289 () (|tptp.'fun_app$k'| @t288 @t2)) % 4.59/4.89 (define @t290 () (< @t289 @t172)) % 4.59/4.89 (define @t291 () (|tptp.'fun_app$k'| @t288 @t222)) % 4.59/4.89 (define @t292 () (|tptp.'fun_app$k'| @t288 @t180)) % 4.59/4.89 (define @t293 () (forall @t226 (=> @t225 (< @t292 @t291)))) % 4.59/4.89 (define @t294 () (|tptp.'fun_app$k'| @t288 @t1)) % 4.59/4.89 (define @t295 () (= @t294 @t172)) % 4.59/4.89 (define @t296 () (@list @t2 @t1 @t288 @t172)) % 4.59/4.89 (define @t297 () (@var "A__questionmark_v2" |tptp.'Real_real_fun$'|)) % 4.59/4.89 (define @t298 () (|tptp.'fun_app$l'| @t297 @t2)) % 4.59/4.89 (define @t299 () (< @t298 @t181)) % 4.59/4.89 (define @t300 () (|tptp.'fun_app$l'| @t297 @t222)) % 4.59/4.89 (define @t301 () (|tptp.'fun_app$l'| @t297 @t180)) % 4.59/4.89 (define @t302 () (forall @t226 (=> @t225 (< @t301 @t300)))) % 4.59/4.89 (define @t303 () (|tptp.'fun_app$l'| @t297 @t1)) % 4.59/4.89 (define @t304 () (= @t303 @t181)) % 4.59/4.89 (define @t305 () (@list @t2 @t1 @t297 @t181)) % 4.59/4.89 (define @t306 () (@var "A__questionmark_v2" |tptp.'Int_cols_fun$'|)) % 4.59/4.89 (define @t307 () (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$m'| @t306 @t6)) @t111)) % 4.59/4.89 (define @t308 () (forall @t204 (=> @t203 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$m'| @t306 @t171)) (|tptp.'fun_app$m'| @t306 @t200))))) % 4.59/4.89 (define @t309 () (|tptp.'fun_app$m'| @t306 @t5)) % 4.59/4.89 (define @t310 () (@list @t6 @t5 @t306 @t111)) % 4.59/4.89 (define @t311 () (@var "A__questionmark_v2" |tptp.'Real_cols_fun$'|)) % 4.59/4.89 (define @t312 () (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$n'| @t311 @t2)) @t111)) % 4.59/4.89 (define @t313 () (forall @t226 (=> @t225 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$n'| @t311 @t180)) (|tptp.'fun_app$n'| @t311 @t222))))) % 4.59/4.89 (define @t314 () (|tptp.'fun_app$n'| @t311 @t1)) % 4.59/4.89 (define @t315 () (@list @t2 @t1 @t311 @t111)) % 4.59/4.89 (define @t316 () (@var "A__questionmark_v2" |tptp.'Cols_int_fun$'|)) % 4.59/4.89 (define @t317 () (< (|tptp.'fun_app$o'| @t316 @t14) @t172)) % 4.59/4.89 (define @t318 () (forall @t255 (=> @t254 (< (|tptp.'fun_app$o'| @t316 @t162) (|tptp.'fun_app$o'| @t316 @t253))))) % 4.59/4.89 (define @t319 () (|tptp.'fun_app$o'| @t316 @t36)) % 4.59/4.89 (define @t320 () (@list @t14 @t36 @t316 @t172)) % 4.59/4.89 (define @t321 () (@var "A__questionmark_v2" |tptp.'Cols_real_fun$'|)) % 4.59/4.89 (define @t322 () (< (|tptp.'fun_app$p'| @t321 @t14) @t181)) % 4.59/4.89 (define @t323 () (forall @t255 (=> @t254 (< (|tptp.'fun_app$p'| @t321 @t162) (|tptp.'fun_app$p'| @t321 @t253))))) % 4.59/4.89 (define @t324 () (|tptp.'fun_app$p'| @t321 @t36)) % 4.59/4.89 (define @t325 () (@list @t14 @t36 @t321 @t181)) % 4.59/4.89 (define @t326 () (@var "A__questionmark_v2" |tptp.'Cols_cols_fun$'|)) % 4.59/4.89 (define @t327 () (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$q'| @t326 @t14)) @t111)) % 4.59/4.89 (define @t328 () (forall @t255 (=> @t254 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| (|tptp.'fun_app$q'| @t326 @t162)) (|tptp.'fun_app$q'| @t326 @t253))))) % 4.59/4.89 (define @t329 () (|tptp.'fun_app$q'| @t326 @t36)) % 4.59/4.89 (define @t330 () (@list @t14 @t36 @t326 @t111)) % 4.59/4.89 (define @t331 () (@var "A__questionmark_v3" |tptp.'Cols_set$'|)) % 4.59/4.89 (define @t332 () (@var "A__questionmark_v2" |tptp.'Int_cols_set_fun$'|)) % 4.59/4.89 (define @t333 () (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less$a'| (|tptp.'fun_app$r'| @t332 @t6)) @t331)) % 4.59/4.89 (define @t334 () (forall @t204 (=> @t203 (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less$a'| (|tptp.'fun_app$r'| @t332 @t171)) (|tptp.'fun_app$r'| @t332 @t200))))) % 4.59/4.89 (define @t335 () (|tptp.'fun_app$r'| @t332 @t5)) % 4.59/4.89 (define @t336 () (@list @t6 @t5 @t332 @t331)) % 4.59/4.89 (define @t337 () (< @t6 @t207)) % 4.59/4.89 (define @t338 () (< @t6 @t229)) % 4.59/4.89 (define @t339 () (< @t2 @t216)) % 4.59/4.89 (define @t340 () (< @t2 @t238)) % 4.59/4.89 (define @t341 () (@var "A__questionmark_v1" |tptp.'Cols_set_int_fun$'|)) % 4.59/4.89 (define @t342 () (@var "A__questionmark_v5" |tptp.'Cols_set$'|)) % 4.59/4.89 (define @t343 () (@var "A__questionmark_v4" |tptp.'Cols_set$'|)) % 4.59/4.89 (define @t344 () (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less$a'| @t343) @t342)) % 4.59/4.89 (define @t345 () (@list @t343 @t342)) % 4.59/4.89 (define @t346 () (< @t276 @t172)) % 4.59/4.89 (define @t347 () (< @t285 @t181)) % 4.59/4.89 (define @t348 () (< @t294 @t172)) % 4.59/4.89 (define @t349 () (< @t303 @t181)) % 4.59/4.89 (define @t350 () (not @t101)) % 4.59/4.89 (define @t351 () (not @t102)) % 4.59/4.89 (define @t352 () (@var "A__questionmark_v1" |tptp.'Bool_real_fun$'|)) % 4.59/4.89 (define @t353 () (|tptp.'less_eq$b'| @t59 @t352)) % 4.59/4.89 (define @t354 () (@list @t59 @t352)) % 4.59/4.89 (define @t355 () (@var "A__questionmark_v1" |tptp.'Bool_int_fun$'|)) % 4.59/4.89 (define @t356 () (|tptp.'less_eq$c'| @t60 @t355)) % 4.59/4.89 (define @t357 () (@list @t60 @t355)) % 4.59/4.89 (define @t358 () (|tptp.'less_eq$e'| @t11 @t92)) % 4.59/4.89 (define @t359 () (or @t10 @t96)) % 4.59/4.89 (define @t360 () (or @t9 @t98)) % 4.59/4.89 (define @t361 () (<= @t276 @t172)) % 4.59/4.89 (define @t362 () (<= @t294 @t172)) % 4.59/4.89 (define @t363 () (<= @t285 @t181)) % 4.59/4.89 (define @t364 () (<= @t303 @t181)) % 4.59/4.89 (define @t365 () (@var "A__questionmark_v2" |tptp.'Cols_set_int_fun$'|)) % 4.59/4.89 (define @t366 () (@var "A__questionmark_v3" |tptp.'Real_set$'|)) % 4.59/4.89 (define @t367 () (@var "A__questionmark_v1" |tptp.'Real_set_bool_real_fun_fun$'|)) % 4.59/4.89 (define @t368 () (@var "A__questionmark_v5" |tptp.'Real_set$'|)) % 4.59/4.89 (define @t369 () (@var "A__questionmark_v4" |tptp.'Real_set$'|)) % 4.59/4.89 (define @t370 () (|tptp.'less_eq$e'| @t369 @t368)) % 4.59/4.89 (define @t371 () (@list @t369 @t368)) % 4.59/4.89 (define @t372 () (|tptp.'less_eq$e'| @t124 @t366)) % 4.59/4.89 (define @t373 () (@var "A__questionmark_v1" |tptp.'Real_set_bool_int_fun_fun$'|)) % 4.59/4.89 (define @t374 () (@var "A__questionmark_v1" |tptp.'Real_set_cols_set_fun$'|)) % 4.59/4.89 (define @t375 () (@var "A__questionmark_v1" |tptp.'Real_set_real_set_fun$'|)) % 4.59/4.89 (define @t376 () (<= @t171 @t200)) % 4.59/4.89 (define @t377 () (forall @t204 (=> @t376 (<= @t202 @t201)))) % 4.59/4.89 (define @t378 () (<= @t128 @t172)) % 4.59/4.89 (define @t379 () (forall @t204 (=> @t376 (<= @t214 @t213)))) % 4.59/4.89 (define @t380 () (<= @t180 @t222)) % 4.59/4.89 (define @t381 () (forall @t226 (=> @t380 (<= @t224 @t223)))) % 4.59/4.89 (define @t382 () (<= @t83 @t181)) % 4.59/4.89 (define @t383 () (forall @t226 (=> @t380 (<= @t236 @t235)))) % 4.59/4.89 (define @t384 () (forall @t204 (=> @t376 (<= @t274 @t273)))) % 4.59/4.89 (define @t385 () (forall @t204 (=> @t376 (<= @t283 @t282)))) % 4.59/4.89 (define @t386 () (forall @t226 (=> @t380 (<= @t292 @t291)))) % 4.59/4.89 (define @t387 () (forall @t226 (=> @t380 (<= @t301 @t300)))) % 4.59/4.89 (define @t388 () (<= @t6 @t207)) % 4.59/4.89 (define @t389 () (<= @t6 @t229)) % 4.59/4.89 (define @t390 () (<= @t2 @t216)) % 4.59/4.89 (define @t391 () (<= @t2 @t238)) % 4.59/4.89 (define @t392 () (<= @t5 @t128)) % 4.59/4.89 (define @t393 () (<= @t1 @t83)) % 4.59/4.89 (define @t394 () (and @t7 @t97)) % 4.59/4.89 (define @t395 () (and @t3 @t99)) % 4.59/4.89 (define @t396 () (<= @t5 @t6)) % 4.59/4.89 (define @t397 () (<= @t1 @t2)) % 4.59/4.89 (define @t398 () (not @t7)) % 4.59/4.89 (define @t399 () (not @t3)) % 4.59/4.89 (define @t400 () (not @t396)) % 4.59/4.89 (define @t401 () (not @t397)) % 4.59/4.89 (define @t402 () (<= @t128 @t6)) % 4.59/4.89 (define @t403 () (<= @t83 @t2)) % 4.59/4.89 (define @t404 () (<= @t181 @t83)) % 4.59/4.89 (define @t405 () (and (< @t2 @t181) (< @t181 @t1))) % 4.59/4.89 (define @t406 () (<= @t83 @t1)) % 4.59/4.89 (define @t407 () (<= @t271 @t172)) % 4.59/4.89 (define @t408 () (<= @t280 @t181)) % 4.59/4.89 (define @t409 () (<= @t289 @t172)) % 4.59/4.89 (define @t410 () (<= @t298 @t181)) % 4.59/4.89 (define @t411 () (<= @t6 @t198)) % 4.59/4.89 (define @t412 () (<= @t2 @t211)) % 4.59/4.89 (define @t413 () (<= @t6 @t220)) % 4.59/4.89 (define @t414 () (<= @t2 @t233)) % 4.59/4.89 (define @t415 () (and @t7 @t396)) % 4.59/4.89 (define @t416 () (and @t3 @t397)) % 4.59/4.89 (define @t417 () (<= @t128 @t5)) % 4.59/4.89 (define @t418 () (<= @t6 @t128)) % 4.59/4.89 (define @t419 () (and @t7 @t392)) % 4.59/4.89 (define @t420 () (<= @t2 @t83)) % 4.59/4.89 (define @t421 () (and @t3 @t393)) % 4.59/4.89 (define @t422 () (|tptp.'matrix_to_iarray$'| @t50)) % 4.59/4.89 (define @t423 () (@var "A__questionmark_v2" |tptp.'Nat$'|)) % 4.59/4.89 (define @t424 () (@var "A__questionmark_v1" |tptp.'Nat_bool_fun$'|)) % 4.59/4.89 (define @t425 () (|tptp.'fun_app$x'| @t424 @t423)) % 4.59/4.89 (define @t426 () (@var "A__questionmark_v3" |tptp.'Nat$'|)) % 4.59/4.89 (define @t427 () (|tptp.'fun_app$x'| @t424 @t426)) % 4.59/4.89 (define @t428 () (@var "A__questionmark_v4" |tptp.'Nat$'|)) % 4.59/4.89 (define @t429 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t428)) % 4.59/4.89 (define @t430 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t426)) % 4.59/4.89 (define @t431 () (< @t430 @t429)) % 4.59/4.89 (define @t432 () (@list @t428)) % 4.59/4.89 (define @t433 () (@var "A__questionmark_v0" |tptp.'Nat$'|)) % 4.59/4.89 (define @t434 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t433)) % 4.59/4.89 (define @t435 () (@list @t426)) % 4.59/4.89 (define @t436 () (@var "A__questionmark_v0" |tptp.'Nat_nat_fun$'|)) % 4.59/4.89 (define @t437 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t423)) % 4.59/4.89 (define @t438 () (<= @t69 @t437)) % 4.59/4.89 (define @t439 () (@list @t426 @t428)) % 4.59/4.89 (define @t440 () (< @t434 @t69)) % 4.59/4.89 (define @t441 () (= @t434 @t69)) % 4.59/4.89 (define @t442 () (not @t441)) % 4.59/4.89 (define @t443 () (<= @t434 @t69)) % 4.59/4.89 (define @t444 () (and @t443 @t442)) % 4.59/4.89 (define @t445 () (@list @t433 @t68)) % 4.59/4.89 (define @t446 () (or @t440 @t441)) % 4.59/4.89 (define @t447 () (< @t69 @t434)) % 4.59/4.89 (define @t448 () (=> @t440 false)) % 4.59/4.89 (define @t449 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|)) % 4.59/4.89 (define @t450 () (|tptp.'fun_app$x'| @t449 @t68)) % 4.59/4.89 (define @t451 () (|tptp.'fun_app$x'| @t449 @t426)) % 4.59/4.89 (define @t452 () (not @t451)) % 4.59/4.89 (define @t453 () (< @t430 @t437)) % 4.59/4.89 (define @t454 () (exists @t435 (and @t453 @t452))) % 4.59/4.89 (define @t455 () (|tptp.'fun_app$x'| @t449 @t423)) % 4.59/4.89 (define @t456 () (not @t455)) % 4.59/4.89 (define @t457 () (@list @t423)) % 4.59/4.89 (define @t458 () (@list @t449 @t68)) % 4.59/4.89 (define @t459 () (< @t434 @t434)) % 4.59/4.89 (define @t460 () (@list @t433)) % 4.59/4.89 (define @t461 () (= @t69 @t434)) % 4.59/4.89 (define @t462 () (not @t459)) % 4.59/4.89 (define @t463 () (@list @t433 @t68 @t423)) % 4.59/4.89 (define @t464 () (<= @t69 @t434)) % 4.59/4.89 (define @t465 () (<= @t430 @t437)) % 4.59/4.89 (define @t466 () (|tptp.'row$'| @t14 @t45)) % 4.59/4.89 (define @t467 () (@list @t14 @t45)) % 4.59/4.89 (define @t468 () (|tptp.'row$a'| @t26 @t49)) % 4.59/4.89 (define @t469 () (@list @t26 @t49)) % 4.59/4.89 (define @t470 () (|tptp.'column$b'| @t14 @t49)) % 4.59/4.89 (define @t471 () (@list @t14 @t49)) % 4.59/4.89 (define @t472 () (|tptp.'matrix_to_iarray$'| @t49)) % 4.59/4.89 (define @t473 () (|tptp.'transpose_iarray$'| @t422)) % 4.59/4.89 (define @t474 () (@var "A__questionmark_v2" |tptp.'Nat_real_fun$'|)) % 4.59/4.89 (define @t475 () (|tptp.'fun_app$z'| @t474 @t433)) % 4.59/4.89 (define @t476 () (@var "A__questionmark_v1" |tptp.'Nat_real_fun$'|)) % 4.59/4.89 (define @t477 () (|tptp.'fun_app$z'| @t476 @t426)) % 4.59/4.89 (define @t478 () (<= @t434 @t430)) % 4.59/4.89 (define @t479 () (|tptp.'fun_app$z'| @t474 @t426)) % 4.59/4.89 (define @t480 () (|tptp.'member$'| @t83 @t11)) % 4.59/4.89 (define @t481 () (forall @t86 (=> @t480 @t406))) % 4.59/4.89 (define @t482 () (@var "A__questionmark_v3" |tptp.'A$'|)) % 4.59/4.89 (define @t483 () (|tptp.'to_nat$'| @t103)) % 4.59/4.89 (define @t484 () (@var "A__questionmark_v2" |tptp.'A$'|)) % 4.59/4.89 (define @t485 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'ncols_iarray$'| @t422))) % 4.59/4.89 (define @t486 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'ncols$'| @t50))) % 4.59/4.89 (define @t487 () (|tptp.'card$'| |tptp.'top$'|)) % 4.59/4.89 (define @t488 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t487)) % 4.59/4.89 (define @t489 () (= @t61 |tptp.'top$'|)) % 4.59/4.89 (define @t490 () (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$d'| |tptp.'top$'|) @t61)) % 4.59/4.89 (define @t491 () (< @t69 @t488)) % 4.59/4.89 (define @t492 () (< @t434 @t488)) % 4.59/4.89 (define @t493 () (|tptp.'from_nat$'| @t433)) % 4.59/4.89 (define @t494 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'to_nat$'| @t493))) % 4.59/4.89 (define @t495 () (= @t494 @t434)) % 4.59/4.89 (define @t496 () (=> @t492 @t495)) % 4.59/4.89 (define @t497 () (forall @t460 @t496)) % 4.59/4.89 (define @t498 () (= @t493 @t36)) % 4.59/4.89 (define @t499 () (@list @t433 @t36)) % 4.59/4.89 (define @t500 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'card$a'| |tptp.'top$a'|))) % 4.59/4.89 (define @t501 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'length$'| @t422))) % 4.59/4.89 (define @t502 () (|tptp.'member$'| @t83 @t92)) % 4.59/4.89 (define @t503 () (forall @t86 (=> @t480 @t502))) % 4.59/4.89 (define @t504 () (@list @t11 @t92 @t83)) % 4.59/4.89 (define @t505 () (< @t434 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'ncols$'| @t49)))) % 4.59/4.89 (define @t506 () (@list @t433 @t49)) % 4.59/4.89 (define @t507 () (|tptp.'matrix_to_iarray$b'| @t45)) % 4.59/4.89 (define @t508 () (|tptp.'vec_to_iarray$a'| @t466)) % 4.59/4.89 (define @t509 () (|tptp.'vec_to_iarray$a'| @t468)) % 4.59/4.89 (define @t510 () (|tptp.'nat$'| 0)) % 4.59/4.89 (define @t511 () (|tptp.'sub$'| @t422)) % 4.59/4.89 (define @t512 () (|tptp.'fun_app$ac'| @t511 @t32)) % 4.59/4.89 (define @t513 () (|tptp.'vec_nth$'| @t50 @t31)) % 4.59/4.89 (define @t514 () (@list @t50 @t31)) % 4.59/4.89 (define @t515 () (< 0 @t434)) % 4.59/4.89 (define @t516 () (= @t434 0)) % 4.59/4.89 (define @t517 () (not @t516)) % 4.59/4.89 (define @t518 () (< @t434 0)) % 4.59/4.89 (define @t519 () (<= 0 @t434)) % 4.59/4.89 (define @t520 () (=> @t516 false)) % 4.59/4.89 (define @t521 () (not @t515)) % 4.59/4.89 (define @t522 () (< 0 @t437)) % 4.59/4.89 (define @t523 () (|tptp.'fun_app$x'| @t449 @t510)) % 4.59/4.89 (define @t524 () (<= @t434 0)) % 4.59/4.89 (define @t525 () (and @t450 (not @t523))) % 4.59/4.89 (define @t526 () (@var "A__questionmark_v0" |tptp.'A_iarray_iarray$'|)) % 4.59/4.89 (define @t527 () (= @t50 |tptp.'zero$a'|)) % 4.59/4.89 (define @t528 () (@var "A__questionmark_v1" |tptp.'Nat_a_iarray_fun$'|)) % 4.59/4.89 (define @t529 () (@var "A__questionmark_v3" |tptp.'Rows$'|)) % 4.59/4.89 (define @t530 () (|tptp.'gauss_Jordan$'| @t50)) % 4.59/4.89 (define @t531 () (< 0 0)) % 4.59/4.89 (define @t532 () (+ @t69 1)) % 4.59/4.89 (define @t533 () (+ @t434 1)) % 4.59/4.89 (define @t534 () (= @t533 @t532)) % 4.59/4.89 (define @t535 () (< @t533 @t532)) % 4.59/4.89 (define @t536 () (+ 0 1)) % 4.59/4.89 (define @t537 () (< @t434 @t536)) % 4.59/4.89 (define @t538 () (|tptp.'fun_app$x'| @t424 @t433)) % 4.59/4.89 (define @t539 () (+ @t437 1)) % 4.59/4.89 (define @t540 () (|tptp.'nat$'| @t539)) % 4.59/4.89 (define @t541 () (|tptp.'fun_app$x'| @t424 @t540)) % 4.59/4.89 (define @t542 () (@list @t433 @t424)) % 4.59/4.89 (define @t543 () (< @t437 @t434)) % 4.59/4.89 (define @t544 () (|tptp.'fun_app$x'| @t424 @t510)) % 4.59/4.89 (define @t545 () (< @t437 @t533)) % 4.59/4.89 (define @t546 () (exists @t457 (and @t545 @t425))) % 4.59/4.89 (define @t547 () (= @t434 @t532)) % 4.59/4.89 (define @t548 () (@list @t68)) % 4.59/4.89 (define @t549 () (exists @t548 @t547)) % 4.59/4.89 (define @t550 () (forall @t457 (=> @t545 @t425))) % 4.59/4.89 (define @t551 () (< @t437 @t69)) % 4.59/4.89 (define @t552 () (< @t434 @t532)) % 4.59/4.89 (define @t553 () (= 0 @t533)) % 4.59/4.89 (define @t554 () (= @t533 0)) % 4.59/4.89 (define @t555 () (|tptp.'fun_app$x'| @t449 @t540)) % 4.59/4.89 (define @t556 () (@var "A__questionmark_v0" |tptp.'Nat_nat_bool_fun_fun$'|)) % 4.59/4.89 (define @t557 () (+ @t430 1)) % 4.59/4.89 (define @t558 () (|tptp.'nat$'| @t557)) % 4.59/4.89 (define @t559 () (|tptp.'fun_app$ad'| @t556 @t426)) % 4.59/4.89 (define @t560 () (=> @t547 false)) % 4.59/4.89 (define @t561 () (@var "A__questionmark_v0" |tptp.'Nat_int_fun$'|)) % 4.59/4.89 (define @t562 () (|tptp.'fun_app$d'| @t561 @t423)) % 4.59/4.89 (define @t563 () (|tptp.'fun_app$d'| @t561 @t68)) % 4.59/4.89 (define @t564 () (< @t563 @t562)) % 4.59/4.89 (define @t565 () (< @t69 @t437)) % 4.59/4.89 (define @t566 () (|tptp.'fun_app$d'| @t561 @t558)) % 4.59/4.89 (define @t567 () (|tptp.'fun_app$d'| @t561 @t426)) % 4.59/4.89 (define @t568 () (forall @t435 (< @t567 @t566))) % 4.59/4.89 (define @t569 () (@list @t561 @t68 @t423)) % 4.59/4.89 (define @t570 () (@var "A__questionmark_v0" |tptp.'Nat_real_fun$'|)) % 4.59/4.89 (define @t571 () (|tptp.'fun_app$z'| @t570 @t423)) % 4.59/4.89 (define @t572 () (|tptp.'fun_app$z'| @t570 @t68)) % 4.59/4.89 (define @t573 () (< @t572 @t571)) % 4.59/4.89 (define @t574 () (|tptp.'fun_app$z'| @t570 @t558)) % 4.59/4.89 (define @t575 () (|tptp.'fun_app$z'| @t570 @t426)) % 4.59/4.89 (define @t576 () (forall @t435 (< @t575 @t574))) % 4.59/4.89 (define @t577 () (@list @t570 @t68 @t423)) % 4.59/4.89 (define @t578 () (<= @t533 @t69)) % 4.59/4.89 (define @t579 () (@var "A__questionmark_v2" |tptp.'Nat_bool_fun$'|)) % 4.59/4.89 (define @t580 () (|tptp.'fun_app$x'| @t579 @t68)) % 4.59/4.89 (define @t581 () (|tptp.'fun_app$x'| @t579 @t558)) % 4.59/4.89 (define @t582 () (|tptp.'fun_app$x'| @t579 @t426)) % 4.59/4.89 (define @t583 () (< @t430 @t69)) % 4.59/4.89 (define @t584 () (|tptp.'fun_app$x'| @t579 @t433)) % 4.59/4.89 (define @t585 () (@list @t433 @t68 @t579)) % 4.59/4.89 (define @t586 () (< @t69 @t533)) % 4.59/4.89 (define @t587 () (= @t69 @t539)) % 4.59/4.89 (define @t588 () (< @t434 @t437)) % 4.59/4.89 (define @t589 () (forall @t457 (=> (and @t588 @t587) false))) % 4.59/4.89 (define @t590 () (< @t533 @t69)) % 4.59/4.89 (define @t591 () (not @t440)) % 4.59/4.89 (define @t592 () (@var "A__questionmark_v2" |tptp.'Nat_nat_bool_fun_fun$'|)) % 4.59/4.89 (define @t593 () (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| @t592 @t433) @t68)) % 4.59/4.89 (define @t594 () (@var "A__questionmark_v5" |tptp.'Nat$'|)) % 4.59/4.89 (define @t595 () (|tptp.'fun_app$ad'| @t592 @t426)) % 4.59/4.89 (define @t596 () (|tptp.'fun_app$x'| @t595 @t594)) % 4.59/4.89 (define @t597 () (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| @t592 @t428) @t594)) % 4.59/4.89 (define @t598 () (|tptp.'fun_app$x'| @t595 @t428)) % 4.59/4.89 (define @t599 () (@list @t426 @t428 @t594)) % 4.59/4.89 (define @t600 () (forall @t435 (|tptp.'fun_app$x'| @t595 @t558))) % 4.59/4.89 (define @t601 () (@list @t433 @t68 @t592)) % 4.59/4.89 (define @t602 () (<= @t434 @t532)) % 4.59/4.89 (define @t603 () (= 0 0)) % 4.59/4.89 (define @t604 () (- @t434 @t69)) % 4.59/4.89 (define @t605 () (- @t604 @t437)) % 4.59/4.89 (define @t606 () (- @t533 @t69)) % 4.59/4.89 (define @t607 () (- @t606 @t539)) % 4.59/4.89 (define @t608 () (- 0 @t437)) % 4.59/4.89 (define @t609 () (and (=> @t440 @t522) (=> @t591 (< @t604 @t437)))) % 4.59/4.89 (define @t610 () (not @t609)) % 4.59/4.89 (define @t611 () (not @t590)) % 4.59/4.89 (define @t612 () (- 0 @t539)) % 4.59/4.89 (define @t613 () (and (=> @t590 (< 0 @t539)) (=> @t611 (< @t606 @t539)))) % 4.59/4.89 (define @t614 () (- @t533 @t532)) % 4.59/4.89 (define @t615 () (=> @t440 @t603)) % 4.59/4.89 (define @t616 () (- @t69 @t434)) % 4.59/4.89 (define @t617 () (not @t447)) % 4.59/4.89 (define @t618 () (and (=> @t447 (< @t69 0)) (=> @t617 (< @t69 @t616)))) % 4.59/4.89 (define @t619 () (= 0 @t434)) % 4.59/4.89 (define @t620 () (- @t6 @t5)) % 4.59/4.89 (define @t621 () (- @t2 @t1)) % 4.59/4.89 (define @t622 () (and @t615 (=> @t591 (= @t604 0)))) % 4.59/4.89 (define @t623 () (< @t533 1)) % 4.59/4.89 (define @t624 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'nat$'| @t6))) % 4.59/4.89 (define @t625 () (<= 0 @t6)) % 4.59/4.89 (define @t626 () (@var "B" tptp.tlbool)) % 4.59/4.89 (define @t627 () (* -1 @t28)) % 4.59/4.89 (define @t628 () (+ @t30 @t627)) % 4.59/4.89 (define @t629 () (+ @t28 1)) % 4.59/4.89 (define @t630 () (>= @t628 1)) % 4.59/4.89 (define @t631 () (>= @t30 @t629)) % 4.59/4.89 (define @t632 () (+ @t17 (* -1 @t16))) % 4.59/4.89 (define @t633 () (>= @t632 1)) % 4.59/4.89 (define @t634 () (not @t21)) % 4.59/4.89 (define @t635 () (forall @t23 (or @t634 @t633))) % 4.59/4.89 (define @t636 () (not @t633)) % 4.59/4.89 (define @t637 () (and @t21 @t636)) % 4.59/4.89 (define @t638 () (forall @t23 (not @t637))) % 4.59/4.89 (define @t639 () (not @t638)) % 4.59/4.89 (define @t640 () (+ @t16 1)) % 4.59/4.89 (define @t641 () (>= @t17 @t640)) % 4.59/4.89 (define @t642 () (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'to_nat$'| @t19))) % 4.59/4.89 (define @t643 () (* -1 @t642)) % 4.59/4.89 (define @t644 () (+ @t17 @t643)) % 4.59/4.89 (define @t645 () (>= @t644 1)) % 4.59/4.89 (define @t646 () (not (= @t20 @t20))) % 4.59/4.89 (define @t647 () (or @t646 @t645)) % 4.59/4.89 (define @t648 () (= @t434 @t494)) % 4.59/4.89 (define @t649 () (* -1 @t488)) % 4.59/4.89 (define @t650 () (+ @t434 @t649)) % 4.59/4.89 (define @t651 () (>= @t650 0)) % 4.59/4.89 (define @t652 () (not @t651)) % 4.59/4.89 (define @t653 () (>= @t434 @t488)) % 4.59/4.89 (define @t654 () (+ @t28 @t649)) % 4.59/4.89 (define @t655 () (>= @t654 0)) % 4.59/4.89 (define @t656 () (>= @t28 @t488)) % 4.59/4.89 (define @t657 () (= @t28 @t642)) % 4.59/4.89 (define @t658 () (or @t655 @t657)) % 4.59/4.89 (define @t659 () (not @t657)) % 4.59/4.89 (define @t660 () (not @t645)) % 4.59/4.89 (define @t661 () (= @t17 @t30)) % 4.59/4.89 (define @t662 () (not @t661)) % 4.59/4.89 (define @t663 () (not @t630)) % 4.59/4.89 (define @t664 () (< @t628 1)) % 4.59/4.89 (define @t665 () (* -1 1)) % 4.59/4.89 (define @t666 () (+ 1 @t665 0 0)) % 4.59/4.89 (define @t667 () (* -1 @t30)) % 4.59/4.89 (define @t668 () (* 0 @t17)) % 4.59/4.89 (define @t669 () (* 0 @t642)) % 4.59/4.89 (define @t670 () (+ @t669 @t667 @t627 @t28 @t30 @t668)) % 4.59/4.89 (define @t671 () (+ @t28 @t643)) % 4.59/4.89 (define @t672 () (+ @t17 @t667)) % 4.59/4.89 (define @t673 () (+ @t628 (* -1 @t644) @t672 @t671)) % 4.59/4.89 (define @t674 () (>= @t673 @t666)) % 4.59/4.89 (define @t675 () (and @t657 @t661 @t645 @t663)) % 4.59/4.89 (assume @p1 (forall @t4 (= (|tptp.'fun_app$'| (|tptp.'fun_app$a'| |tptp.'uud$'| @t2) @t1) @t3))) % 4.59/4.89 (assume @p2 (forall @t8 (= (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| |tptp.'uuc$'| @t6) @t5) @t7))) % 4.59/4.89 (assume @p3 (forall @t4 (= (|tptp.'fun_app$'| (|tptp.'fun_app$a'| |tptp.'uub$'| @t2) @t1) @t9))) % 4.59/4.89 (assume @p4 (forall @t8 (= (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| |tptp.'uua$'| @t6) @t5) @t10))) % 4.59/4.89 (assume @p5 (forall (@list @t11 @t1) (= (|tptp.'fun_app$'| @t13 @t1) @t12))) % 4.59/4.89 (assume @p6 @t25) % 4.59/4.89 (assume @p7 (forall (@list @t26) (= (|tptp.'from_nat$a'| @t27) @t26))) % 4.59/4.89 (assume @p8 (forall @t23 (= (|tptp.'from_nat$'| @t15) @t14))) % 4.59/4.89 (assume @p9 (<= @t30 @t28)) % 4.59/4.89 (assume @p10 (forall @t35 (=> (|tptp.'less_eq$'| @t26 @t31) (<= @t34 @t33)))) % 4.59/4.89 (assume @p11 (forall @t41 (=> @t40 (<= @t16 @t38)))) % 4.59/4.89 (assume @p12 (forall (@list @t43 @t42) (= (= @t44 (|tptp.'transpose$a'| @t42)) (= @t43 @t42)))) % 4.59/4.89 (assume @p13 (forall (@list @t46 @t45) (= (= @t48 @t47) (= @t46 @t45)))) % 4.59/4.89 (assume @p14 (forall @t54 (= (= @t53 @t52) @t51))) % 4.59/4.89 (assume @p15 (forall @t55 (= (|tptp.'transpose$b'| @t48) @t46))) % 4.59/4.89 (assume @p16 (forall @t56 (= (|tptp.'transpose$a'| @t53) @t50))) % 4.59/4.89 (assume @p17 (forall @t57 (= (|tptp.'transpose$'| @t44) @t43))) % 4.59/4.89 (assume @p18 (forall @t35 (= (= @t34 @t33) (= @t26 @t31)))) % 4.59/4.89 (assume @p19 (forall @t41 (= (= @t16 @t38) @t58))) % 4.59/4.89 (assume @p20 (forall @t23 (|tptp.'fun_app$e'| @t39 @t14))) % 4.59/4.89 (assume @p21 (forall (@list @t59) (|tptp.'less_eq$b'| @t59 @t59))) % 4.59/4.89 (assume @p22 (forall (@list @t60) (|tptp.'less_eq$c'| @t60 @t60))) % 4.59/4.89 (assume @p23 (forall @t63 (|tptp.'fun_app$g'| @t62 @t61))) % 4.59/4.89 (assume @p24 (forall @t64 (|tptp.'less_eq$e'| @t11 @t11))) % 4.59/4.89 (assume @p25 (forall @t65 (<= @t6 @t6))) % 4.59/4.89 (assume @p26 (forall @t66 (<= @t2 @t2))) % 4.59/4.89 (assume @p27 (forall @t55 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$a'| @t48)) (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$a'| @t46))))) % 4.59/4.89 (assume @p28 (forall @t57 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$'| @t44)) (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$b'| @t43))))) % 4.59/4.89 (assume @p29 (forall @t56 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$b'| @t53)) @t67))) % 4.59/4.89 (assume @p30 (forall (@list @t26 @t68) (=> (= @t34 @t69) (= (|tptp.'from_nat$a'| @t68) @t26)))) % 4.59/4.89 (assume @p31 (forall @t71 (=> (= @t16 @t69) (= @t70 @t14)))) % 4.59/4.89 (assume @p32 (< @t28 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'ncols_iarray$'| @t29)))) % 4.59/4.89 (assume @p33 (forall @t65 (exists @t73 @t72))) % 4.59/4.89 (assume @p34 (forall @t66 (exists @t75 @t74))) % 4.59/4.89 (assume @p35 (forall @t65 (exists @t73 @t10))) % 4.59/4.89 (assume @p36 (forall @t66 (exists @t75 @t9))) % 4.59/4.89 (assume @p37 (forall @t41 (=> (and @t82 @t81 @t78) false))) % 4.59/4.89 (assume @p38 (forall @t41 (= @t82 (or @t80 @t77)))) % 4.59/4.89 (assume @p39 (forall @t4 (=> @t9 (exists @t86 (and @t85 @t84))))) % 4.59/4.89 (assume @p40 (forall @t41 (=> @t77 @t82))) % 4.59/4.89 (assume @p41 (forall @t91 (=> @t90 (not @t88)))) % 4.59/4.89 (assume @p42 (forall @t95 (=> @t94 (not @t93)))) % 4.59/4.89 (assume @p43 (forall @t8 (=> @t10 @t97))) % 4.59/4.89 (assume @p44 (forall @t4 (=> @t9 @t99))) % 4.59/4.89 (assume @p45 (forall @t41 (=> (and @t77 @t80) false))) % 4.59/4.89 (assume @p46 (forall @t35 (=> (|tptp.'less$c'| @t26 @t31) (< @t34 @t33)))) % 4.59/4.89 (assume @p47 (forall @t41 (=> @t77 (< @t16 @t38)))) % 4.59/4.89 (assume @p48 (forall @t91 (=> (and @t90 @t101) false))) % 4.59/4.89 (assume @p49 (forall @t95 (=> (and @t94 @t102) false))) % 4.59/4.89 (assume @p50 (forall @t8 (=> (and @t10 @t72) false))) % 4.59/4.89 (assume @p51 (forall @t4 (=> (and @t9 @t74) false))) % 4.59/4.89 (assume @p52 (forall @t107 (=> (and @t77 @t106) @t105))) % 4.59/4.89 (assume @p53 (forall @t116 (=> (forall @t115 (=> (forall @t114 (=> @t113 @t112)) @t110)) @t109))) % 4.59/4.89 (assume @p54 (forall @t23 (not (|tptp.'fun_app$e'| @t76 @t14)))) % 4.59/4.89 (assume @p55 (forall @t41 (or @t77 @t117 @t80))) % 4.59/4.89 (assume @p56 (forall @t107 (=> (and @t58 @t119) @t118))) % 4.59/4.89 (assume @p57 (forall @t123 (=> (and @t88 @t122) @t121))) % 4.59/4.89 (assume @p58 (forall @t127 (=> (and @t93 @t126) @t125))) % 4.59/4.89 (assume @p59 (forall @t131 (=> (and @t96 @t130) @t129))) % 4.59/4.89 (assume @p60 (forall @t133 (=> (and @t98 @t132) @t85))) % 4.59/4.89 (assume @p61 (forall @t107 (=> (and @t77 (= @t36 @t103)) @t118))) % 4.59/4.89 (assume @p62 (forall @t123 (=> (and @t90 (= @t87 @t120)) @t121))) % 4.59/4.89 (assume @p63 (forall @t127 (=> (and @t94 (= @t92 @t124)) @t125))) % 4.59/4.89 (assume @p64 (forall @t131 (=> (and @t10 @t134) @t129))) % 4.59/4.89 (assume @p65 (forall @t133 (=> (and @t9 @t135) @t85))) % 4.59/4.89 (assume @p66 (forall @t116 (=> (forall @t115 (=> (forall @t114 (=> (|tptp.'fun_app$e'| @t136 @t103) @t112)) @t110)) @t109))) % 4.59/4.89 (assume @p67 (forall @t41 (=> @t77 (not @t117)))) % 4.59/4.89 (assume @p68 (forall @t41 (=> @t77 @t137))) % 4.59/4.89 (assume @p69 (forall @t41 (=> @t138 (= @t137 @t117)))) % 4.59/4.89 (assume @p70 (forall @t8 (=> @t141 (= @t140 @t139)))) % 4.59/4.89 (assume @p71 (forall @t4 (=> @t144 (= @t143 @t142)))) % 4.59/4.89 (assume @p72 (forall @t41 (=> @t138 (= @t137 @t58)))) % 4.59/4.89 (assume @p73 (forall (@list @t14 @t36 @t145) (=> @t77 (= (=> @t80 @t146) true)))) % 4.59/4.89 (assume @p74 (forall @t41 (=> (and @t78 (=> @t58 false) @t81) false))) % 4.59/4.89 (assume @p75 (forall @t8 (=> (and @t148 (=> @t96 false) @t147) false))) % 4.59/4.89 (assume @p76 (forall @t4 (=> (and @t150 (=> @t98 false) @t149) false))) % 4.59/4.89 (assume @p77 (forall @t41 (=> (and @t78 (=> @t117 false) @t81) false))) % 4.59/4.89 (assume @p78 (forall @t41 (=> @t77 (= @t117 false)))) % 4.59/4.89 (assume @p79 (forall @t154 (= @t153 (exists @t152 (and @t109 (forall @t115 (=> @t119 @t151))))))) % 4.59/4.89 (assume @p80 (forall @t41 (=> @t77 (= @t58 false)))) % 4.59/4.89 (assume @p81 (forall @t63 (not (|tptp.'fun_app$g'| @t89 @t61)))) % 4.59/4.89 (assume @p82 (forall @t64 (not (|tptp.'less$b'| @t11 @t11)))) % 4.59/4.89 (assume @p83 (forall @t65 (not @t155))) % 4.59/4.89 (assume @p84 (forall @t66 (not @t156))) % 4.59/4.89 (assume @p85 (forall @t154 (= @t153 (exists @t152 (and @t109 (forall @t115 (=> @t105 @t151))))))) % 4.59/4.89 (assume @p86 (forall @t41 (=> @t77 (= @t137 true)))) % 4.59/4.89 (assume @p87 (forall @t107 (=> (and @t58 @t105) @t106))) % 4.59/4.89 (assume @p88 (forall @t107 (=> (and @t77 (= @t14 @t103)) @t105))) % 4.59/4.89 (assume @p89 (forall (@list @t2 @t157) (= (|tptp.'member$'| @t2 @t158) (|tptp.'fun_app$'| @t157 @t2)))) % 4.59/4.89 (assume @p90 (forall @t64 (= (|tptp.'collect$'| @t13) @t11))) % 4.59/4.89 (assume @p91 (forall (@list @t159 @t157) (=> (forall @t86 (= (|tptp.'fun_app$'| @t159 @t83) (|tptp.'fun_app$'| @t157 @t83))) (= (|tptp.'collect$'| @t159) @t158)))) % 4.59/4.89 (assume @p92 (forall @t168 (=> (and (forall @t165 (=> (|tptp.'fun_app$e'| @t136 @t162) @t164)) @t167 @t166) @t161))) % 4.59/4.89 (assume @p93 (forall @t177 (=> (and (forall @t175 (=> (< @t172 @t171) @t174)) (forall (@list @t172) (|tptp.'fun_app$b'| @t173 @t172)) @t176) @t170))) % 4.59/4.89 (assume @p94 (forall @t187 (=> (and (forall @t184 (=> (< @t181 @t180) @t183)) (forall @t186 (|tptp.'fun_app$'| @t182 @t181)) @t185) @t179))) % 4.59/4.89 (assume @p95 (forall @t107 (=> (and @t77 @t119) @t118))) % 4.59/4.89 (assume @p96 (forall @t123 (=> (and @t90 @t122) @t121))) % 4.59/4.89 (assume @p97 (forall @t127 (=> (and @t94 @t126) @t125))) % 4.59/4.89 (assume @p98 (forall @t131 (=> (and @t10 @t130) @t129))) % 4.59/4.89 (assume @p99 (forall @t133 (=> (and @t9 @t132) @t85))) % 4.59/4.89 (assume @p100 (forall @t168 (=> (and (forall @t165 (=> (|tptp.'fun_app$e'| @t188 @t111) @t164)) @t167 @t166) @t161))) % 4.59/4.89 (assume @p101 (forall @t41 (= @t138 (or @t80 @t58)))) % 4.59/4.89 (assume @p102 (forall @t8 (= @t141 (or @t72 @t96)))) % 4.59/4.89 (assume @p103 (forall @t4 (= @t144 (or @t74 @t98)))) % 4.59/4.89 (assume @p104 (forall @t41 (= @t138 (or @t80 @t117)))) % 4.59/4.89 (assume @p105 (forall @t123 (=> (and @t90 (|tptp.'fun_app$g'| @t189 @t61)) (|tptp.'fun_app$g'| @t189 @t87)))) % 4.59/4.89 (assume @p106 (forall @t127 (=> (and @t94 (|tptp.'less$b'| @t124 @t11)) (|tptp.'less$b'| @t124 @t92)))) % 4.59/4.89 (assume @p107 (forall @t131 (=> (and @t10 @t191) @t190))) % 4.59/4.89 (assume @p108 (forall @t133 (=> (and @t9 @t192) @t84))) % 4.59/4.89 (assume @p109 (forall @t91 (=> @t90 (not @t193)))) % 4.59/4.89 (assume @p110 (forall @t95 (=> @t94 (not @t194)))) % 4.59/4.89 (assume @p111 (forall @t8 (=> @t10 @t195))) % 4.59/4.89 (assume @p112 (forall @t4 (=> @t9 @t196))) % 4.59/4.89 (assume @p113 (forall @t41 (=> (and @t82 @t78 @t81) false))) % 4.59/4.89 (assume @p114 (forall @t8 (=> (and @t97 @t148 @t147) false))) % 4.59/4.89 (assume @p115 (forall @t4 (=> (and @t99 @t150 @t149) false))) % 4.59/4.89 (assume @p116 (forall @t41 (= @t82 (or @t77 @t80)))) % 4.59/4.89 (assume @p117 (forall @t8 (= @t97 (or @t10 @t72)))) % 4.59/4.89 (assume @p118 (forall @t4 (= @t99 (or @t9 @t74)))) % 4.59/4.89 (assume @p119 (forall @t209 (=> (and @t208 @t206 @t205) @t199))) % 4.59/4.89 (assume @p120 (forall @t218 (=> (and @t217 @t206 @t215) @t212))) % 4.59/4.89 (assume @p121 (forall @t231 (=> (and @t230 @t228 @t227) @t221))) % 4.59/4.89 (assume @p122 (forall @t240 (=> (and @t239 @t228 @t237) @t234))) % 4.59/4.89 (assume @p123 (forall @t245 (=> (and (= @t14 @t244) @t206 @t243) @t242))) % 4.59/4.89 (assume @p124 (forall @t250 (=> (and (= @t14 @t249) @t228 @t248) @t247))) % 4.59/4.89 (assume @p125 (forall @t258 (=> (and (= @t6 @t257) @t113 @t256) @t252))) % 4.59/4.89 (assume @p126 (forall @t263 (=> (and (= @t2 @t262) @t113 @t261) @t260))) % 4.59/4.89 (assume @p127 (forall @t268 (=> (and (= @t14 @t267) @t113 @t266) @t265))) % 4.59/4.89 (assume @p128 (forall (@list @t61 @t269 @t128 @t172) (=> (and (= @t61 (|tptp.'fun_app$r'| @t269 @t128)) @t206 (forall @t204 (=> @t203 (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less$a'| (|tptp.'fun_app$r'| @t269 @t171)) (|tptp.'fun_app$r'| @t269 @t200))))) (|tptp.'fun_app$g'| @t89 (|tptp.'fun_app$r'| @t269 @t172))))) % 4.59/4.89 (assume @p129 (forall @t278 (=> (and @t10 @t277 @t275) @t272))) % 4.59/4.89 (assume @p130 (forall @t287 (=> (and @t10 @t286 @t284) @t281))) % 4.59/4.89 (assume @p131 (forall @t296 (=> (and @t9 @t295 @t293) @t290))) % 4.59/4.89 (assume @p132 (forall @t305 (=> (and @t9 @t304 @t302) @t299))) % 4.59/4.89 (assume @p133 (forall @t310 (=> (and @t10 (= @t309 @t111) @t308) @t307))) % 4.59/4.89 (assume @p134 (forall @t315 (=> (and @t9 (= @t314 @t111) @t313) @t312))) % 4.59/4.89 (assume @p135 (forall @t320 (=> (and @t77 (= @t319 @t172) @t318) @t317))) % 4.59/4.89 (assume @p136 (forall @t325 (=> (and @t77 (= @t324 @t181) @t323) @t322))) % 4.59/4.89 (assume @p137 (forall @t330 (=> (and @t77 (= @t329 @t111) @t328) @t327))) % 4.59/4.89 (assume @p138 (forall @t336 (=> (and @t10 (= @t335 @t331) @t334) @t333))) % 4.59/4.89 (assume @p139 (forall @t209 (=> (and @t337 @t206 @t205) @t199))) % 4.59/4.89 (assume @p140 (forall @t231 (=> (and @t338 @t228 @t227) @t221))) % 4.59/4.89 (assume @p141 (forall @t218 (=> (and @t339 @t206 @t215) @t212))) % 4.59/4.89 (assume @p142 (forall @t240 (=> (and @t340 @t228 @t237) @t234))) % 4.59/4.89 (assume @p143 (forall @t258 (=> (and (< @t6 @t257) @t113 @t256) @t252))) % 4.59/4.89 (assume @p144 (forall @t263 (=> (and (< @t2 @t262) @t113 @t261) @t260))) % 4.59/4.89 (assume @p145 (forall @t245 (=> (and (|tptp.'fun_app$e'| @t76 @t244) @t206 @t243) @t242))) % 4.59/4.89 (assume @p146 (forall @t250 (=> (and (|tptp.'fun_app$e'| @t76 @t249) @t228 @t248) @t247))) % 4.59/4.89 (assume @p147 (forall @t268 (=> (and (|tptp.'fun_app$e'| @t76 @t267) @t113 @t266) @t265))) % 4.59/4.89 (assume @p148 (forall (@list @t6 @t341 @t120 @t331) (=> (and (< @t6 (|tptp.'fun_app$s'| @t341 @t120)) (|tptp.'fun_app$g'| @t189 @t331) (forall @t345 (=> @t344 (< (|tptp.'fun_app$s'| @t341 @t343) (|tptp.'fun_app$s'| @t341 @t342))))) (< @t6 (|tptp.'fun_app$s'| @t341 @t331))))) % 4.59/4.89 (assume @p149 (forall @t278 (=> (and @t10 @t346 @t275) @t272))) % 4.59/4.89 (assume @p150 (forall @t287 (=> (and @t10 @t347 @t284) @t281))) % 4.59/4.89 (assume @p151 (forall @t296 (=> (and @t9 @t348 @t293) @t290))) % 4.59/4.89 (assume @p152 (forall @t305 (=> (and @t9 @t349 @t302) @t299))) % 4.59/4.89 (assume @p153 (forall @t310 (=> (and @t10 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| @t309) @t111) @t308) @t307))) % 4.59/4.89 (assume @p154 (forall @t315 (=> (and @t9 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| @t314) @t111) @t313) @t312))) % 4.59/4.89 (assume @p155 (forall @t320 (=> (and @t77 (< @t319 @t172) @t318) @t317))) % 4.59/4.89 (assume @p156 (forall @t325 (=> (and @t77 (< @t324 @t181) @t323) @t322))) % 4.59/4.89 (assume @p157 (forall @t330 (=> (and @t77 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| @t329) @t111) @t328) @t327))) % 4.59/4.89 (assume @p158 (forall @t336 (=> (and @t10 (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less$a'| @t335) @t331) @t334) @t333))) % 4.59/4.89 (assume @p159 (forall @t91 (=> @t90 @t350))) % 4.59/4.89 (assume @p160 (forall @t95 (=> @t94 @t351))) % 4.59/4.89 (assume @p161 (forall @t8 (=> @t10 @t140))) % 4.59/4.89 (assume @p162 (forall @t4 (=> @t9 @t143))) % 4.59/4.89 (assume @p163 (forall (@list @t61 @t87 @t145) (=> @t90 (= (=> @t101 @t146) true)))) % 4.59/4.89 (assume @p164 (forall (@list @t11 @t92 @t145) (=> @t94 (= (=> @t102 @t146) true)))) % 4.59/4.89 (assume @p165 (forall (@list @t6 @t5 @t145) (=> @t10 (= (=> @t72 @t146) true)))) % 4.59/4.89 (assume @p166 (forall (@list @t2 @t1 @t145) (=> @t9 (= (=> @t74 @t146) true)))) % 4.59/4.89 (assume @p167 (forall @t41 (or @t77 @t58 @t80))) % 4.59/4.89 (assume @p168 (forall @t8 (or @t10 @t96 @t72))) % 4.59/4.89 (assume @p169 (forall @t4 (or @t9 @t98 @t74))) % 4.59/4.89 (assume @p170 (forall @t91 (=> @t90 (= @t88 false)))) % 4.59/4.89 (assume @p171 (forall @t95 (=> @t94 (= @t93 false)))) % 4.59/4.89 (assume @p172 (forall @t8 (=> @t10 (= @t96 false)))) % 4.59/4.89 (assume @p173 (forall @t4 (=> @t9 (= @t98 false)))) % 4.59/4.89 (assume @p174 (forall @t91 (=> @t90 (= @t193 false)))) % 4.59/4.89 (assume @p175 (forall @t95 (=> @t94 (= @t194 false)))) % 4.59/4.89 (assume @p176 (forall @t8 (=> @t10 (= @t139 false)))) % 4.59/4.89 (assume @p177 (forall @t4 (=> @t9 (= @t142 false)))) % 4.59/4.89 (assume @p178 (forall @t91 (=> @t90 (= @t350 true)))) % 4.59/4.89 (assume @p179 (forall @t95 (=> @t94 (= @t351 true)))) % 4.59/4.89 (assume @p180 (forall @t8 (=> @t10 (= @t140 true)))) % 4.59/4.89 (assume @p181 (forall @t4 (=> @t9 (= @t143 true)))) % 4.59/4.89 (assume @p182 (forall @t41 (=> @t40 (or @t77 @t58)))) % 4.59/4.89 (assume @p183 (forall @t354 (=> @t353 (or (|tptp.'less$d'| @t59 @t352) (= @t59 @t352))))) % 4.59/4.89 (assume @p184 (forall @t357 (=> @t356 (or (|tptp.'less$e'| @t60 @t355) (= @t60 @t355))))) % 4.59/4.89 (assume @p185 (forall @t91 (=> (|tptp.'fun_app$g'| @t62 @t87) (or @t90 @t88)))) % 4.59/4.89 (assume @p186 (forall @t95 (=> @t358 (or @t94 @t93)))) % 4.59/4.89 (assume @p187 (forall @t8 (=> @t7 @t359))) % 4.59/4.89 (assume @p188 (forall @t4 (=> @t3 @t360))) % 4.59/4.89 (assume @p189 (forall @t41 (or @t40 @t80))) % 4.59/4.89 (assume @p190 (forall @t8 (or @t7 @t72))) % 4.59/4.89 (assume @p191 (forall @t4 (or @t3 @t74))) % 4.59/4.89 (assume @p192 (forall @t278 (=> (and @t10 @t361 @t275) @t272))) % 4.59/4.89 (assume @p193 (forall @t296 (=> (and @t9 @t362 @t293) @t290))) % 4.59/4.89 (assume @p194 (forall @t287 (=> (and @t10 @t363 @t284) @t281))) % 4.59/4.89 (assume @p195 (forall @t305 (=> (and @t9 @t364 @t302) @t299))) % 4.59/4.89 (assume @p196 (forall @t320 (=> (and @t77 (<= @t319 @t172) @t318) @t317))) % 4.59/4.89 (assume @p197 (forall @t325 (=> (and @t77 (<= @t324 @t181) @t323) @t322))) % 4.59/4.89 (assume @p198 (forall @t310 (=> (and @t10 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less_eq$a'| @t309) @t111) @t308) @t307))) % 4.59/4.89 (assume @p199 (forall @t315 (=> (and @t9 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less_eq$a'| @t314) @t111) @t313) @t312))) % 4.59/4.89 (assume @p200 (forall @t330 (=> (and @t77 (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less_eq$a'| @t329) @t111) @t328) @t327))) % 4.59/4.89 (assume @p201 (forall (@list @t61 @t87 @t365 @t172) (=> (and @t90 (<= (|tptp.'fun_app$s'| @t365 @t87) @t172) (forall @t345 (=> @t344 (< (|tptp.'fun_app$s'| @t365 @t343) (|tptp.'fun_app$s'| @t365 @t342))))) (< (|tptp.'fun_app$s'| @t365 @t61) @t172)))) % 4.59/4.89 (assume @p202 (forall (@list @t59 @t367 @t124 @t366) (=> (and (|tptp.'less$d'| @t59 (|tptp.'fun_app$t'| @t367 @t124)) @t372 (forall @t371 (=> @t370 (|tptp.'less_eq$b'| (|tptp.'fun_app$t'| @t367 @t369) (|tptp.'fun_app$t'| @t367 @t368))))) (|tptp.'less$d'| @t59 (|tptp.'fun_app$t'| @t367 @t366))))) % 4.59/4.89 (assume @p203 (forall (@list @t60 @t373 @t124 @t366) (=> (and (|tptp.'less$e'| @t60 (|tptp.'fun_app$u'| @t373 @t124)) @t372 (forall @t371 (=> @t370 (|tptp.'less_eq$c'| (|tptp.'fun_app$u'| @t373 @t369) (|tptp.'fun_app$u'| @t373 @t368))))) (|tptp.'less$e'| @t60 (|tptp.'fun_app$u'| @t373 @t366))))) % 4.59/4.89 (assume @p204 (forall (@list @t61 @t374 @t124 @t366) (=> (and (|tptp.'fun_app$g'| @t89 (|tptp.'fun_app$v'| @t374 @t124)) @t372 (forall @t371 (=> @t370 (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$d'| (|tptp.'fun_app$v'| @t374 @t369)) (|tptp.'fun_app$v'| @t374 @t368))))) (|tptp.'fun_app$g'| @t89 (|tptp.'fun_app$v'| @t374 @t366))))) % 4.59/4.89 (assume @p205 (forall (@list @t11 @t375 @t124 @t366) (=> (and (|tptp.'less$b'| @t11 (|tptp.'fun_app$w'| @t375 @t124)) @t372 (forall @t371 (=> @t370 (|tptp.'less_eq$e'| (|tptp.'fun_app$w'| @t375 @t369) (|tptp.'fun_app$w'| @t375 @t368))))) (|tptp.'less$b'| @t11 (|tptp.'fun_app$w'| @t375 @t366))))) % 4.59/4.89 (assume @p206 (forall @t209 (=> (and @t337 @t378 @t377) @t199))) % 4.59/4.89 (assume @p207 (forall @t218 (=> (and @t339 @t378 @t379) @t212))) % 4.59/4.89 (assume @p208 (forall @t231 (=> (and @t338 @t382 @t381) @t221))) % 4.59/4.89 (assume @p209 (forall @t240 (=> (and @t340 @t382 @t383) @t234))) % 4.59/4.89 (assume @p210 (forall @t278 (=> (and @t7 @t346 @t384) @t272))) % 4.59/4.89 (assume @p211 (forall @t287 (=> (and @t7 @t347 @t385) @t281))) % 4.59/4.89 (assume @p212 (forall @t296 (=> (and @t3 @t348 @t386) @t290))) % 4.59/4.89 (assume @p213 (forall @t305 (=> (and @t3 @t349 @t387) @t299))) % 4.59/4.89 (assume @p214 (forall @t209 (=> (and @t388 @t206 @t205) @t199))) % 4.59/4.89 (assume @p215 (forall @t231 (=> (and @t389 @t228 @t227) @t221))) % 4.59/4.89 (assume @p216 (forall @t218 (=> (and @t390 @t206 @t215) @t212))) % 4.59/4.89 (assume @p217 (forall @t240 (=> (and @t391 @t228 @t237) @t234))) % 4.59/4.89 (assume @p218 (forall @t131 (=> (and @t10 @t392) @t129))) % 4.59/4.89 (assume @p219 (forall @t133 (=> (and @t9 @t393) @t85))) % 4.59/4.89 (assume @p220 (forall @t131 (=> (and @t7 @t130) @t129))) % 4.59/4.89 (assume @p221 (forall @t133 (=> (and @t3 @t132) @t85))) % 4.59/4.89 (assume @p222 (forall @t8 (=> (and @t97 @t7) @t10))) % 4.59/4.89 (assume @p223 (forall @t4 (=> (and @t99 @t3) @t9))) % 4.59/4.89 (assume @p224 (forall @t8 (=> @t394 @t10))) % 4.59/4.89 (assume @p225 (forall @t4 (=> @t395 @t9))) % 4.59/4.89 (assume @p226 (forall @t8 (=> @t10 @t7))) % 4.59/4.89 (assume @p227 (forall @t4 (=> @t9 @t3))) % 4.59/4.89 (assume @p228 (forall @t8 (= @t141 @t396))) % 4.59/4.89 (assume @p229 (forall @t4 (= @t144 @t397))) % 4.59/4.89 (assume @p230 (forall @t8 (= @t398 @t72))) % 4.59/4.89 (assume @p231 (forall @t4 (= @t399 @t74))) % 4.59/4.89 (assume @p232 (forall @t8 (= @t10 @t394))) % 4.59/4.89 (assume @p233 (forall @t4 (= @t9 @t395))) % 4.59/4.89 (assume @p234 (forall @t8 (= @t7 @t359))) % 4.59/4.89 (assume @p235 (forall @t4 (= @t3 @t360))) % 4.59/4.89 (assume @p236 (forall @t8 (= @t10 (and @t7 @t400)))) % 4.59/4.89 (assume @p237 (forall @t4 (= @t9 (and @t3 @t401)))) % 4.59/4.89 (assume @p238 (forall @t131 (=> (and @t10 @t402) @t190))) % 4.59/4.89 (assume @p239 (forall @t133 (=> (and @t9 @t403) @t84))) % 4.59/4.89 (assume @p240 (forall @t131 (=> (and @t7 @t191) @t190))) % 4.59/4.89 (assume @p241 (forall @t133 (=> (and @t3 @t192) @t84))) % 4.59/4.89 (assume @p242 (forall @t8 (= @t10 (and @t7 @t195)))) % 4.59/4.89 (assume @p243 (forall @t4 (= @t9 (and @t3 @t196)))) % 4.59/4.89 (assume @p244 (forall @t8 (= @t7 (or @t10 @t139)))) % 4.59/4.89 (assume @p245 (forall @t4 (= @t3 (or @t9 @t142)))) % 4.59/4.89 (assume @p246 (forall @t133 (=> (and @t9 (forall @t186 (=> @t405 @t404))) @t393))) % 4.59/4.89 (assume @p247 (forall @t133 (=> (and @t9 (forall @t186 (=> @t405 @t382))) @t403))) % 4.59/4.89 (assume @p248 (forall @t8 (=> @t398 @t72))) % 4.59/4.89 (assume @p249 (forall @t4 (=> @t399 @t74))) % 4.59/4.89 (assume @p250 (forall @t4 (=> (forall @t86 (=> @t192 @t406)) @t3))) % 4.59/4.89 (assume @p251 (forall @t4 (=> (forall @t86 (=> @t85 @t393)) @t397))) % 4.59/4.89 (assume @p252 (forall @t8 (=> @t7 (= @t141 @t96)))) % 4.59/4.89 (assume @p253 (forall @t4 (=> @t3 (= @t144 @t98)))) % 4.59/4.89 (assume @p254 (forall @t8 (=> @t141 (= @t7 @t96)))) % 4.59/4.89 (assume @p255 (forall @t4 (=> @t144 (= @t3 @t98)))) % 4.59/4.89 (assume @p256 (forall @t8 (= @t141 (or @t398 @t96)))) % 4.59/4.89 (assume @p257 (forall @t4 (= @t144 (or @t399 @t98)))) % 4.59/4.89 (assume @p258 (forall @t8 (=> @t141 @t396))) % 4.59/4.89 (assume @p259 (forall @t4 (=> @t144 @t397))) % 4.59/4.89 (assume @p260 (forall @t8 (=> @t7 @t140))) % 4.59/4.89 (assume @p261 (forall @t4 (=> @t3 @t143))) % 4.59/4.89 (assume @p262 (forall @t71 (=> (|tptp.'fun_app$e'| @t76 @t70) (< @t16 @t69)))) % 4.59/4.89 (assume @p263 (forall @t8 (=> @t7 (= @t396 @t139)))) % 4.59/4.89 (assume @p264 (forall @t4 (=> @t3 (= @t397 @t142)))) % 4.59/4.89 (assume @p265 (forall @t8 (=> (and (=> @t7 false) (=> @t396 false)) false))) % 4.59/4.89 (assume @p266 (forall @t4 (=> (and (=> @t3 false) (=> @t397 false)) false))) % 4.59/4.89 (assume @p267 (forall @t278 (=> (and @t7 @t277 @t384) @t407))) % 4.59/4.89 (assume @p268 (forall @t287 (=> (and @t7 @t286 @t385) @t408))) % 4.59/4.89 (assume @p269 (forall @t296 (=> (and @t3 @t295 @t386) @t409))) % 4.59/4.89 (assume @p270 (forall @t305 (=> (and @t3 @t304 @t387) @t410))) % 4.59/4.89 (assume @p271 (forall @t209 (=> (and @t208 @t378 @t377) @t411))) % 4.59/4.89 (assume @p272 (forall @t218 (=> (and @t217 @t378 @t379) @t412))) % 4.59/4.89 (assume @p273 (forall @t231 (=> (and @t230 @t382 @t381) @t413))) % 4.59/4.89 (assume @p274 (forall @t240 (=> (and @t239 @t382 @t383) @t414))) % 4.59/4.89 (assume @p275 (forall @t8 (or @t7 @t396))) % 4.59/4.89 (assume @p276 (forall @t4 (or @t3 @t397))) % 4.59/4.89 (assume @p277 (forall @t8 (=> @t96 @t7))) % 4.59/4.89 (assume @p278 (forall @t4 (=> @t98 @t3))) % 4.59/4.89 (assume @p279 (forall @t278 (=> (and @t7 @t361 @t384) @t407))) % 4.59/4.89 (assume @p280 (forall @t287 (=> (and @t7 @t363 @t385) @t408))) % 4.59/4.89 (assume @p281 (forall @t296 (=> (and @t3 @t362 @t386) @t409))) % 4.59/4.89 (assume @p282 (forall @t305 (=> (and @t3 @t364 @t387) @t410))) % 4.59/4.89 (assume @p283 (forall @t209 (=> (and @t388 @t378 @t377) @t411))) % 4.59/4.89 (assume @p284 (forall @t231 (=> (and @t389 @t382 @t381) @t413))) % 4.59/4.89 (assume @p285 (forall @t218 (=> (and @t390 @t378 @t379) @t412))) % 4.59/4.89 (assume @p286 (forall @t240 (=> (and @t391 @t382 @t383) @t414))) % 4.59/4.89 (assume @p287 (forall @t8 (= @t96 @t415))) % 4.59/4.89 (assume @p288 (forall @t4 (= @t98 @t416))) % 4.59/4.89 (assume @p289 (forall @t8 (=> @t415 @t96))) % 4.59/4.89 (assume @p290 (forall @t4 (=> @t416 @t98))) % 4.59/4.89 (assume @p291 (forall @t131 (=> (and @t7 @t402) @t417))) % 4.59/4.89 (assume @p292 (forall @t133 (=> (and @t3 @t403) @t406))) % 4.59/4.89 (assume @p293 (forall @t8 (=> @t415 @t139))) % 4.59/4.89 (assume @p294 (forall @t4 (=> @t416 @t142))) % 4.59/4.89 (assume @p295 (forall @t8 (= @t96 (and @t396 @t7)))) % 4.59/4.89 (assume @p296 (forall @t4 (= @t98 (and @t397 @t3)))) % 4.59/4.89 (assume @p297 (forall @t177 (=> (and (forall @t175 (=> (<= @t172 @t171) @t174)) @t176) @t170))) % 4.59/4.89 (assume @p298 (forall @t187 (=> (and (forall @t184 (=> (<= @t181 @t180) @t183)) @t185) @t179))) % 4.59/4.89 (assume @p299 (forall @t131 (=> @t419 @t418))) % 4.59/4.89 (assume @p300 (forall @t133 (=> @t421 @t420))) % 4.59/4.89 (assume @p301 (forall @t131 (=> (and @t7 @t134) @t418))) % 4.59/4.89 (assume @p302 (forall @t133 (=> (and @t3 @t135) @t420))) % 4.59/4.89 (assume @p303 (forall @t131 (=> (and @t96 @t392) @t418))) % 4.59/4.89 (assume @p304 (forall @t133 (=> (and @t98 @t393) @t420))) % 4.59/4.89 (assume @p305 (forall @t131 (=> (and (=> @t419 false) (=> (and @t396 @t418) false) (=> (and @t418 @t417) false) (=> (and @t417 @t396) false) (=> (and @t392 @t402) false) (=> (and @t402 @t7) false)) false))) % 4.59/4.89 (assume @p306 (forall @t133 (=> (and (=> @t421 false) (=> (and @t397 @t420) false) (=> (and @t420 @t406) false) (=> (and @t406 @t397) false) (=> (and @t393 @t403) false) (=> (and @t403 @t3) false)) false))) % 4.59/4.89 (assume @p307 (forall @t8 (= @t398 (and @t396 @t195)))) % 4.59/4.89 (assume @p308 (forall @t4 (= @t399 (and @t397 @t196)))) % 4.59/4.89 (assume @p309 (forall @t56 (= @t67 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank_iarray$'| @t422))))) % 4.59/4.89 (assume @p310 (forall (@list @t433 @t424 @t423) (=> (and (forall @t435 (=> (< @t434 @t430) @t427)) (forall @t435 (=> (and (<= @t430 @t434) (forall @t432 (=> @t431 (|tptp.'fun_app$x'| @t424 @t428)))) @t427))) @t425))) % 4.59/4.89 (assume @p311 (forall (@list @t436 @t68 @t423) (=> (and (forall @t439 (=> @t431 (< (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'fun_app$y'| @t436 @t426)) (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'fun_app$y'| @t436 @t428))))) @t438) (<= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'fun_app$y'| @t436 @t68)) (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'fun_app$y'| @t436 @t423)))))) % 4.59/4.89 (assume @p312 (forall @t445 (=> @t444 @t440))) % 4.59/4.89 (assume @p313 (forall @t445 (=> @t446 @t443))) % 4.59/4.89 (assume @p314 (forall @t445 (= @t443 @t446))) % 4.59/4.89 (assume @p315 (forall @t445 (=> @t440 @t443))) % 4.59/4.89 (assume @p316 (forall @t445 (= @t440 @t444))) % 4.59/4.89 (assume @p317 (forall @t8 (or @t96 @t398 @t400))) % 4.59/4.89 (assume @p318 (forall @t4 (or @t98 @t399 @t401))) % 4.59/4.89 (assume @p319 (forall @t65 (= @t155 false))) % 4.59/4.89 (assume @p320 (forall @t66 (= @t156 false))) % 4.59/4.89 (assume @p321 (forall @t445 (=> (and @t442 @t448 (=> @t447 false)) false))) % 4.59/4.89 (assume @p322 (forall @t458 (=> (forall @t457 (=> @t456 @t454)) @t450))) % 4.59/4.89 (assume @p323 (forall @t458 (=> (forall @t457 (=> (forall @t435 (=> @t453 @t451)) @t455)) @t450))) % 4.59/4.89 (assume @p324 (forall @t460 (=> @t459 false))) % 4.59/4.89 (assume @p325 (forall @t445 (=> @t440 @t442))) % 4.59/4.89 (assume @p326 (forall @t445 (=> @t440 (not @t461)))) % 4.59/4.89 (assume @p327 (forall @t460 @t462)) % 4.59/4.89 (assume @p328 (forall @t445 (= @t442 (or @t440 @t447)))) % 4.59/4.89 (assume @p329 (forall @t460 (<= @t434 @t434))) % 4.59/4.89 (assume @p330 (forall @t463 (=> (and @t443 @t438) (<= @t434 @t437)))) % 4.59/4.89 (assume @p331 (forall @t445 (=> @t441 @t443))) % 4.59/4.89 (assume @p332 (forall @t445 (=> (and @t443 @t464) @t441))) % 4.59/4.89 (assume @p333 (forall @t445 (or @t443 @t464))) % 4.59/4.89 (assume @p334 (forall (@list @t449 @t68 @t423) (=> (and @t450 (forall @t435 (=> @t451 @t465))) (exists @t435 (and @t451 (forall @t432 (=> (|tptp.'fun_app$x'| @t449 @t428) (<= @t429 @t430)))))))) % 4.59/4.89 (assume @p335 (forall @t467 (= (|tptp.'column$'| @t14 @t47) @t466))) % 4.59/4.89 (assume @p336 (forall @t469 (= (|tptp.'column$a'| @t26 @t52) @t468))) % 4.59/4.89 (assume @p337 (forall @t467 (= (|tptp.'row$'| @t14 @t47) (|tptp.'column$'| @t14 @t45)))) % 4.59/4.89 (assume @p338 (forall @t471 (= (|tptp.'row$b'| @t14 @t52) @t470))) % 4.59/4.89 (assume @p339 (forall @t54 (= @t51 (= @t422 @t472)))) % 4.59/4.89 (assume @p340 (forall @t56 (= (|tptp.'iarray_to_matrix$'| @t422) @t50))) % 4.59/4.89 (assume @p341 (forall @t57 (= (|tptp.'matrix_to_iarray$'| @t44) (|tptp.'transpose_iarray$'| (|tptp.'matrix_to_iarray$a'| @t43))))) % 4.59/4.89 (assume @p342 (forall @t56 (= (|tptp.'matrix_to_iarray$a'| @t53) @t473))) % 4.59/4.89 (assume @p343 (forall (@list @t433 @t476 @t474) (=> (and (forall @t435 (=> @t478 (< @t477 @t479))) (forall @t435 (=> @t478 (<= @t479 @t475)))) (forall @t435 (=> @t478 (< @t477 @t475)))))) % 4.59/4.89 (assume @p344 (forall @t56 (= (|tptp.'basis_left_null_space_iarrays$'| @t422) (|tptp.'basis_null_space_iarrays$'| @t473)))) % 4.59/4.89 (assume @p345 (forall @t64 (=> (and (exists @t75 @t12) (exists @t75 @t481)) (exists @t75 (and @t481 (forall @t86 (=> (forall @t186 (=> (|tptp.'member$'| @t181 @t11) @t404)) @t393))))))) % 4.59/4.89 (assume @p346 (forall (@list @t50 @t36 @t103 @t482) (= (|tptp.'matrix_to_iarray$'| (|tptp.'column_add$'| @t50 @t36 @t103 @t482)) (|tptp.'column_add_iarray$'| @t422 @t37 @t483 @t482)))) % 4.59/4.89 (assume @p347 (|tptp.'preordering_bdd$'| |tptp.'uuc$'| |tptp.'uua$'|)) % 4.59/4.89 (assume @p348 (|tptp.'preordering_bdd$a'| |tptp.'uud$'| |tptp.'uub$'|)) % 4.59/4.89 (assume @p349 (forall @t357 (= @t356 (and (<= (|tptp.'fun_app$aa'| @t60 tptp.tlfalse) (|tptp.'fun_app$aa'| @t355 tptp.tlfalse)) (<= (|tptp.'fun_app$aa'| @t60 tptp.tltrue) (|tptp.'fun_app$aa'| @t355 tptp.tltrue)))))) % 4.59/4.89 (assume @p350 (forall @t354 (= @t353 (and (<= (|tptp.'fun_app$ab'| @t59 tptp.tlfalse) (|tptp.'fun_app$ab'| @t352 tptp.tlfalse)) (<= (|tptp.'fun_app$ab'| @t59 tptp.tltrue) (|tptp.'fun_app$ab'| @t352 tptp.tltrue)))))) % 4.59/4.89 (assume @p351 (forall (@list @t50 @t36 @t484) (= (|tptp.'matrix_to_iarray$'| (|tptp.'mult_column$'| @t50 @t36 @t484)) (|tptp.'mult_column_iarray$'| @t422 @t37 @t484)))) % 4.59/4.89 (assume @p352 (forall @t56 (= @t486 @t485))) % 4.59/4.89 (assume @p353 (< @t28 @t488)) % 4.59/4.89 (assume @p354 (|tptp.'ordering$'| |tptp.'uuc$'| |tptp.'uua$'|)) % 4.59/4.89 (assume @p355 (|tptp.'ordering$a'| |tptp.'uud$'| |tptp.'uub$'|)) % 4.59/4.89 (assume @p356 (forall @t56 (= @t67 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'col_rank$'| @t50))))) % 4.59/4.89 (assume @p357 (forall @t154 (= (forall @t152 (=> (< @t38 @t488) @t109)) (forall @t152 @t109)))) % 4.59/4.89 (assume @p358 (forall @t63 (|tptp.'fun_app$g'| @t62 |tptp.'top$'|))) % 4.59/4.89 (assume @p359 (forall @t63 (= @t490 @t489))) % 4.59/4.89 (assume @p360 (forall @t63 (=> @t490 @t489))) % 4.59/4.89 (assume @p361 (forall @t56 (= @t485 @t488))) % 4.59/4.89 (assume @p362 (forall @t23 (< @t16 @t488))) % 4.59/4.89 (assume @p363 (forall @t445 (=> (and (= @t493 @t70) @t492 @t491) @t441))) % 4.59/4.89 (assume @p364 (forall @t63 (not (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less$a'| |tptp.'top$'|) @t61)))) % 4.59/4.89 (assume @p365 (forall @t63 (= (not @t489) (|tptp.'fun_app$g'| @t89 |tptp.'top$'|)))) % 4.59/4.89 (assume @p366 (forall @t445 (=> (and @t440 @t491) (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less$'| @t493) @t70)))) % 4.59/4.89 (assume @p367 @t497) % 4.59/4.89 (assume @p368 (forall @t499 (=> (and @t498 @t492) (= @t38 @t434)))) % 4.59/4.89 (assume @p369 (forall @t499 (=> (and (not (= @t434 @t38)) @t492) (not @t498)))) % 4.59/4.89 (assume @p370 (forall @t445 (=> (and @t443 @t491) (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'less_eq$a'| @t493) @t70)))) % 4.59/4.89 (assume @p371 (forall @t56 (<= @t67 @t486))) % 4.59/4.89 (assume @p372 (forall (@list @t433 @t87) (=> (<= @t434 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'card$'| @t87))) (exists (@list @t120) (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$d'| @t120) @t87) (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'card$'| @t120)) @t434)))))) % 4.59/4.89 (assume @p373 (|tptp.'ordering_top$'| |tptp.'less_eq$d'| |tptp.'less$a'| |tptp.'top$'|)) % 4.59/4.89 (assume @p374 (forall @t56 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'nrows_iarray$'| @t422)) @t500))) % 4.59/4.89 (assume @p375 (forall @t56 (= @t501 @t500))) % 4.59/4.89 (assume @p376 (forall @t95 (=> @t503 @t358))) % 4.59/4.89 (assume @p377 (forall @t504 (=> (and @t94 @t480) @t502))) % 4.59/4.89 (assume @p378 (forall @t504 (=> (and @t358 @t480) @t502))) % 4.59/4.89 (assume @p379 (forall @t95 (= @t358 @t503))) % 4.59/4.89 (assume @p380 (forall @t506 (=> @t505 (= (|tptp.'matrix_to_iarray$'| (|tptp.'gauss_Jordan_upt_k$'| @t49 @t433)) (|tptp.'gauss_Jordan_upt_k_iarrays$'| @t472 @t433))))) % 4.59/4.89 (assume @p381 (forall @t506 (=> @t505 (= (|tptp.'vec_to_iarray$'| (|tptp.'column$b'| @t493 @t49)) (|tptp.'column_iarray$'| @t433 @t472))))) % 4.59/4.89 (assume @p382 (forall @t471 (= (|tptp.'vec_to_iarray$'| @t470) (|tptp.'column_iarray$'| @t15 @t472)))) % 4.59/4.89 (assume @p383 (forall @t467 (= @t508 (|tptp.'row_iarray$'| @t15 @t507)))) % 4.59/4.89 (assume @p384 (forall @t469 (= @t509 (|tptp.'row_iarray$'| @t27 @t472)))) % 4.59/4.89 (assume @p385 (forall @t467 (= @t508 (|tptp.'fun_app$ac'| (|tptp.'sub$'| @t507) @t15)))) % 4.59/4.89 (assume @p386 (forall @t469 (= @t509 (|tptp.'fun_app$ac'| (|tptp.'sub$'| @t472) @t27)))) % 4.59/4.89 (assume @p387 (forall @t56 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'length$a'| (|tptp.'fun_app$ac'| @t511 @t510))) @t488))) % 4.59/4.89 (assume @p388 (forall @t514 (= (|tptp.'vec_to_iarray$a'| @t513) @t512))) % 4.59/4.89 (assume @p389 (forall @t460 (= @t517 @t515))) % 4.59/4.89 (assume @p390 (forall @t460 (= @t518 false))) % 4.59/4.89 (assume @p391 (forall @t460 @t519)) % 4.59/4.89 (assume @p392 (forall @t4 (=> (and (< 0/1 @t2) (< 0/1 @t1)) (exists @t86 (and (< 0/1 @t83) @t192 @t84))))) % 4.59/4.89 (assume @p393 (forall @t460 (not @t518))) % 4.59/4.89 (assume @p394 (forall @t460 (=> @t520 @t515))) % 4.59/4.89 (assume @p395 (forall @t460 (= @t521 @t516))) % 4.59/4.89 (assume @p396 (forall @t460 (=> @t518 false))) % 4.59/4.89 (assume @p397 (forall @t445 (=> @t440 (not (= @t69 0))))) % 4.59/4.89 (assume @p398 (forall @t458 (=> (and @t523 (forall @t457 (=> (and @t522 @t456) @t454))) @t450))) % 4.59/4.89 (assume @p399 (= (|tptp.'from_nat$'| @t510) |tptp.'zero$'|)) % 4.59/4.89 (assume @p400 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'to_nat$'| |tptp.'zero$'|)) 0)) % 4.59/4.89 (assume @p401 (forall @t23 (= (= @t16 0) (= @t14 |tptp.'zero$'|)))) % 4.59/4.89 (assume @p402 (forall @t460 (=> (and @t520 (=> @t517 false)) false))) % 4.59/4.89 (assume @p403 (forall @t460 (= @t519 true))) % 4.59/4.89 (assume @p404 (forall @t460 (= @t524 @t516))) % 4.59/4.89 (assume @p405 (forall @t460 (=> @t524 @t516))) % 4.59/4.89 (assume @p406 (forall (@list @t50 @t31 @t103) (= (|tptp.'sub$a'| @t512 @t483) (|tptp.'vec_nth$a'| @t513 @t103)))) % 4.59/4.89 (assume @p407 (forall @t458 (=> @t525 (exists @t457 (and (<= @t437 @t69) (forall @t435 (=> @t453 @t452)) @t455))))) % 4.59/4.89 (assume @p408 (= (|tptp.'from_nat$'| @t487) |tptp.'zero$'|)) % 4.59/4.89 (assume @p409 (forall (@list @t526) (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'ncols_iarray$'| @t526)) (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'length$a'| (|tptp.'fun_app$ac'| (|tptp.'sub$'| @t526) @t510)))))) % 4.59/4.89 (assume @p410 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$'| |tptp.'zero$a'|)) 0)) % 4.59/4.89 (assume @p411 (forall @t56 (=> (not @t527) (< 0 @t67)))) % 4.59/4.89 (assume @p412 (< 0 @t488)) % 4.59/4.89 (assume @p413 (forall @t56 (= (= @t53 |tptp.'zero$b'|) @t527))) % 4.59/4.89 (assume @p414 (forall (@list @t50 @t528 @t423) (=> (and (forall (@list @t529) (= (|tptp.'vec_to_iarray$a'| (|tptp.'vec_nth$'| @t50 @t529)) (|tptp.'fun_app$ac'| @t528 (|tptp.'to_nat$a'| @t529)))) (= @t437 @t501)) (= @t422 (|tptp.'of_fun$'| @t528 @t423))))) % 4.59/4.89 (assume @p415 (forall @t514 (=> (<= @t67 @t33) (= (|tptp.'vec_nth$'| @t530 @t31) |tptp.'zero$c'|)))) % 4.59/4.89 (assume @p416 (forall @t56 (= @t67 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'rank$'| @t530))))) % 4.59/4.89 (assume @p417 (not @t531)) % 4.59/4.89 (assume @p418 (not (< 0/1 0/1))) % 4.59/4.89 (assume @p419 (<= 0 0)) % 4.59/4.89 (assume @p420 (<= 0/1 0/1)) % 4.59/4.89 (assume @p421 (forall @t460 (= (< @t434 1) @t516))) % 4.59/4.89 (assume @p422 (= (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'to_nat$'| |tptp.'one$'|)) 1)) % 4.59/4.89 (assume @p423 (< 0 1)) % 4.59/4.89 (assume @p424 (< 0/1 1/1)) % 4.59/4.89 (assume @p425 (<= 0 1)) % 4.59/4.89 (assume @p426 (<= 0/1 1/1)) % 4.59/4.89 (assume @p427 (not (<= 1 0))) % 4.59/4.89 (assume @p428 (not (<= 1/1 0/1))) % 4.59/4.89 (assume @p429 (not (< 1 0))) % 4.59/4.89 (assume @p430 (not (< 1/1 0/1))) % 4.59/4.89 (assume @p431 (not (< 1 1))) % 4.59/4.89 (assume @p432 (not (< 1/1 1/1))) % 4.59/4.89 (assume @p433 (<= 1 1)) % 4.59/4.89 (assume @p434 (<= 1/1 1/1)) % 4.59/4.89 (assume @p435 (forall @t445 (= @t534 @t441))) % 4.59/4.89 (assume @p436 (forall @t445 (= @t535 @t440))) % 4.59/4.89 (assume @p437 (forall @t445 (=> @t440 @t535))) % 4.59/4.89 (assume @p438 (forall @t460 (< @t434 @t533))) % 4.59/4.89 (assume @p439 (forall @t445 (= (<= @t533 @t532) @t443))) % 4.59/4.89 (assume @p440 (forall @t460 (< 0 @t533))) % 4.59/4.89 (assume @p441 (forall @t460 (= @t537 @t516))) % 4.59/4.89 (assume @p442 (forall @t542 (=> (and @t515 (|tptp.'fun_app$x'| @t424 (|tptp.'nat$'| 1)) (forall @t457 (=> (and @t522 @t425) @t541))) @t538))) % 4.59/4.89 (assume @p443 (= 1 @t536)) % 4.59/4.89 (assume @p444 (forall @t542 (= @t546 (or @t544 (exists @t457 (and @t543 @t541)))))) % 4.59/4.89 (assume @p445 (forall @t460 (= @t515 @t549))) % 4.59/4.89 (assume @p446 (forall @t542 (= @t550 (and @t544 (forall @t457 (=> @t543 @t541)))))) % 4.59/4.89 (assume @p447 (forall @t460 (=> @t515 @t549))) % 4.59/4.89 (assume @p448 (forall @t445 (= @t552 (or @t516 (exists @t457 (and (= @t434 @t539) @t551)))))) % 4.59/4.89 (assume @p449 (forall @t460 (=> @t517 @t549))) % 4.59/4.89 (assume @p450 (forall @t460 (not @t553))) % 4.59/4.89 (assume @p451 (forall @t460 (=> @t553 false))) % 4.59/4.89 (assume @p452 (forall @t460 (=> @t554 false))) % 4.59/4.89 (assume @p453 (forall @t458 (=> (and @t450 (forall @t457 (=> @t555 @t455))) @t523))) % 4.59/4.89 (assume @p454 (forall (@list @t556 @t68 @t423) (=> (and (forall @t435 (|tptp.'fun_app$x'| @t559 @t510)) (forall @t435 (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| @t556 @t510) @t558)) (forall @t439 (=> (|tptp.'fun_app$x'| @t559 @t428) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| @t556 @t558) (|tptp.'nat$'| (+ @t429 1)))))) (|tptp.'fun_app$x'| (|tptp.'fun_app$ad'| @t556 @t68) @t423)))) % 4.59/4.89 (assume @p455 (forall @t458 (=> (and @t523 (forall @t457 (=> @t455 @t555))) @t450))) % 4.59/4.89 (assume @p456 (forall @t460 (=> (and @t520 (forall @t548 @t560)) false))) % 4.59/4.89 (assume @p457 (forall @t445 (=> @t547 @t517))) % 4.59/4.89 (assume @p458 (forall @t460 (not @t554))) % 4.59/4.89 (assume @p459 (forall @t569 (=> (and @t568 @t565) @t564))) % 4.59/4.89 (assume @p460 (forall @t577 (=> (and @t576 @t565) @t573))) % 4.59/4.89 (assume @p461 (forall @t569 (=> @t568 (= @t564 @t565)))) % 4.59/4.89 (assume @p462 (forall @t577 (=> @t576 (= @t573 @t565)))) % 4.59/4.89 (assume @p463 (forall @t445 (=> @t440 @t578))) % 4.59/4.89 (assume @p464 (forall @t445 (= @t578 @t440))) % 4.59/4.89 (assume @p465 (forall @t585 (=> (and @t443 @t584 (forall @t435 (=> (and @t478 @t583 @t582) @t581))) @t580))) % 4.59/4.89 (assume @p466 (forall @t585 (=> (and @t443 @t580 (forall @t435 (=> (and @t478 @t583 @t581) @t582))) @t584))) % 4.59/4.89 (assume @p467 (forall @t445 (=> @t578 @t440))) % 4.59/4.89 (assume @p468 (forall @t445 (=> @t443 (= @t586 @t461)))) % 4.59/4.89 (assume @p469 (forall @t445 (= @t552 @t443))) % 4.59/4.89 (assume @p470 (forall @t445 (= @t440 @t578))) % 4.59/4.89 (assume @p471 (forall @t445 (=> @t443 @t552))) % 4.59/4.89 (assume @p472 (forall @t445 (=> (and @t440 (=> (= @t69 @t533) false) @t589) false))) % 4.59/4.89 (assume @p473 (forall @t445 (=> @t590 @t440))) % 4.59/4.89 (assume @p474 (forall @t445 (=> (and @t590 @t589) false))) % 4.59/4.89 (assume @p475 (forall @t445 (=> (and @t440 (not (= @t533 @t69))) @t590))) % 4.59/4.89 (assume @p476 (forall @t445 (=> (and @t552 @t448 (=> @t441 false)) false))) % 4.59/4.89 (assume @p477 (forall @t445 (=> @t440 @t552))) % 4.59/4.89 (assume @p478 (forall @t542 (= @t546 (or @t538 (exists @t457 (and @t543 @t425)))))) % 4.59/4.89 (assume @p479 (forall @t445 (= @t552 @t446))) % 4.59/4.89 (assume @p480 (forall @t445 (= @t591 @t586))) % 4.59/4.89 (assume @p481 (forall @t542 (= @t550 (and @t538 (forall @t457 (=> @t543 @t425)))))) % 4.59/4.89 (assume @p482 (forall @t445 (= @t590 (exists @t457 (and @t587 @t588))))) % 4.59/4.89 (assume @p483 (forall @t445 (=> (and @t591 @t552) @t461))) % 4.59/4.89 (assume @p484 (forall @t445 (=> @t535 @t440))) % 4.59/4.89 (assume @p485 (forall @t463 (=> (and @t440 @t565) (< @t533 @t437)))) % 4.59/4.89 (assume @p486 (forall @t601 (=> (and @t440 @t600 (forall @t599 (=> (and @t431 (< @t429 (|tptp.'fun_app$d'| |tptp.'of_nat$'| @t594)) @t598 @t597) @t596))) @t593))) % 4.59/4.89 (assume @p487 (forall @t585 (=> (and @t440 (forall @t435 (=> (= @t69 @t557) @t582)) (forall @t435 (=> (and @t583 @t581) @t582))) @t584))) % 4.59/4.89 (assume @p488 (forall @t445 (=> @t591 (= @t552 @t441)))) % 4.59/4.89 (assume @p489 (forall @t460 (not (= @t434 @t533)))) % 4.59/4.89 (assume @p490 (forall @t445 (=> @t534 @t441))) % 4.59/4.89 (assume @p491 (forall @t569 (=> (and (forall @t435 (<= @t567 @t566)) @t438) (<= @t563 @t562)))) % 4.59/4.89 (assume @p492 (forall @t577 (=> (and (forall @t435 (<= @t575 @t574)) @t438) (<= @t572 @t571)))) % 4.59/4.89 (assume @p493 (forall @t569 (=> (and (forall @t435 (<= @t566 @t567)) @t438) (<= @t562 @t563)))) % 4.59/4.89 (assume @p494 (forall @t577 (=> (and (forall @t435 (<= @t574 @t575)) @t438) (<= @t571 @t572)))) % 4.59/4.89 (assume @p495 (forall @t445 (=> @t578 @t443))) % 4.59/4.89 (assume @p496 (forall @t445 (=> (and @t602 (=> @t443 false) @t560) false))) % 4.59/4.89 (assume @p497 (forall @t445 (=> @t443 @t602))) % 4.59/4.89 (assume @p498 (forall @t445 (=> @t578 (exists @t457 @t587)))) % 4.59/4.89 (assume @p499 (forall @t445 (= @t602 (or @t443 @t547)))) % 4.59/4.89 (assume @p500 (forall @t460 (not (<= @t533 @t434)))) % 4.59/4.89 (assume @p501 (forall @t445 (= (not @t443) (<= @t532 @t434)))) % 4.59/4.89 (assume @p502 (forall @t458 (=> (forall @t457 (=> (forall @t435 (=> (<= @t557 @t437) @t451)) @t455)) @t450))) % 4.59/4.89 (assume @p503 (forall @t585 (=> (and @t443 @t584 (forall @t435 (=> (and @t478 @t582) @t581))) @t580))) % 4.59/4.89 (assume @p504 (forall @t601 (=> (and @t443 (forall @t435 (|tptp.'fun_app$x'| @t595 @t426)) (forall @t599 (=> (and @t598 @t597) @t596)) @t600) @t593))) % 4.59/4.89 (assume @p505 (forall @t458 (=> @t525 (exists @t457 (and @t551 (forall @t435 (=> @t465 @t452)) @t555))))) % 4.59/4.89 (assume @p506 (<= @t536 @t488)) % 4.59/4.89 (assume @p507 (forall @t56 (= @t67 (|tptp.'fun_app$d'| |tptp.'of_nat$'| (|tptp.'row_rank$'| @t50))))) % 4.59/4.89 (assume @p508 (forall @t460 (and (=> @t515 @t603) (=> @t521 (= (- 0 @t434) 0))))) % 4.59/4.89 (assume @p509 (forall @t460 (and (=> @t459 @t603) (=> @t462 (= (- @t434 @t434) 0))))) % 4.59/4.89 (assume @p510 (forall @t463 (and (=> @t613 (and (=> @t609 @t603) (=> @t610 (and (=> @t440 (= 0 @t608)) (=> @t591 (= 0 @t605)))))) (=> (not @t613) (and (=> @t590 (and (=> @t609 (= @t612 0)) (=> @t610 (and (=> @t440 (= @t612 @t608)) (=> @t591 (= @t612 @t605)))))) (=> @t611 (and (=> @t609 (= @t607 0)) (=> @t610 (and (=> @t440 (= @t607 @t608)) (=> @t591 (= @t607 @t605))))))))))) % 4.59/4.89 (assume @p511 (forall @t445 (and (=> @t535 (and @t615 (=> @t591 (= 0 @t604)))) (=> (not @t535) (and (=> @t440 (= @t614 0)) (=> @t591 (= @t614 @t604))))))) % 4.59/4.89 (assume @p512 (forall @t445 (=> @t443 (and (=> @t618 @t619) (=> (not @t618) (and (=> @t447 (= (- @t69 0) @t434)) (=> @t617 (= (- @t69 @t616) @t434)))))))) % 4.59/4.89 (assume @p513 (forall @t8 (= (<= 0 @t620) @t396))) % 4.59/4.89 (assume @p514 (forall @t4 (= (<= 0/1 @t621) @t397))) % 4.59/4.89 (assume @p515 (forall @t8 (= (< 0 @t620) @t72))) % 4.59/4.89 (assume @p516 (forall @t4 (= (< 0/1 @t621) @t74))) % 4.59/4.89 (assume @p517 (forall @t445 (= (and (=> @t440 @t531) (=> @t591 (< 0 @t604))) @t447))) % 4.59/4.89 (assume @p518 (forall @t445 (=> @t443 @t622))) % 4.59/4.89 (assume @p519 (forall @t445 (= @t622 @t443))) % 4.59/4.89 (assume @p520 (forall @t460 (and (=> @t623 @t619) (=> (not @t623) (= (- @t533 1) @t434))))) % 4.59/4.89 (assume @p521 (forall @t460 (=> @t515 (and (=> @t537 (= @t536 @t434)) (=> (not @t537) (= (+ (- @t434 @t536) 1) @t434)))))) % 4.59/4.89 (assume @p522 (forall @t460 (= (|tptp.'nat$'| @t434) @t433))) % 4.59/4.89 (assume @p523 (forall @t65 (and (=> @t625 (= @t624 @t6)) (=> (not @t625) (= @t624 0))))) % 4.59/4.89 (assume @p524 (forall (@list @t626) (or (= @t626 tptp.tltrue) (= @t626 tptp.tlfalse)))) % 4.59/4.89 (assume @p525 (not (= tptp.tltrue tptp.tlfalse))) % 4.59/4.89 (assume @p526 true) % 4.59/4.89 (step @p527 :rule arith_poly_norm :args ((= (* -1 (- @t30 @t629)) (* -1 (- @t628 1))))) % 4.59/4.89 (step @p528 :rule arith_poly_norm_rel :premises (@p527) :args ((= @t631 @t630))) % 4.59/4.89 (step @p529 :rule cong :premises (@p528) :args ((not @t631))) % 4.59/4.89 (step @p530 :rule arith-leq-norm :args (@t30 @t28)) % 4.59/4.89 (step @p531 :rule trans :premises (@p530 @p529)) % 4.59/4.89 (step @p532 :rule eq_resolve :premises (@p9 @p531)) % 4.59/4.89 (step @p533 :rule instantiate :premises (@p309) :args ((@list |tptp.'a$'|))) % 4.59/4.89 (step @p534 :rule bool-double-not-elim :args (@t635)) % 4.59/4.89 (step @p535 :rule bool-double-not-elim :args (@t633)) % 4.59/4.89 (step @p536 :rule refl :args (@t634)) % 4.59/4.89 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or @t634 (not @t636)))) % 4.59/4.89 (step @p538 :rule bool-and-de-morgan :args (@t21 @t636 true)) % 4.59/4.89 (step @p539 :rule trans :premises (@p538 @p537)) % 4.59/4.89 (step @p540 :rule cong :premises (@p539) :args (@t638)) % 4.59/4.89 (step @p541 :rule cong :premises (@p540) :args (@t639)) % 4.59/4.89 (step @p542 :rule exists-elim :args ((= (exists @t23 @t637) @t639))) % 4.59/4.89 (step @p543 :rule trans :premises (@p542 @p541)) % 4.59/4.89 (step @p544 :rule arith_poly_norm :args ((= (* -1 (- @t17 @t640)) (* -1 (- @t632 1))))) % 4.59/4.89 (step @p545 :rule arith_poly_norm_rel :premises (@p544) :args ((= @t641 @t633))) % 4.59/4.89 (step @p546 :rule cong :premises (@p545) :args ((not @t641))) % 4.59/4.89 (step @p547 :rule arith-leq-norm :args (@t17 @t16)) % 4.59/4.89 (step @p548 :rule trans :premises (@p547 @p546)) % 4.59/4.89 (step @p549 :rule refl :args (@t21)) % 4.59/4.89 (step @p550 :rule nary_cong :premises (@p549 @p548) :args (@t22)) % 4.59/4.89 (step @p551 :rule cong :premises (@p550) :args (@t24)) % 4.59/4.89 (step @p552 :rule trans :premises (@p551 @p543)) % 4.59/4.89 (step @p553 :rule cong :premises (@p552) :args (@t25)) % 4.59/4.89 (step @p554 :rule trans :premises (@p553 @p534)) % 4.59/4.89 (step @p555 :rule eq_resolve :premises (@p6 @p554)) % 4.59/4.89 (step @p556 :rule aci_norm :args ((= (or false @t645) @t645))) % 4.59/4.89 (step @p557 :rule refl :args (@t645)) % 4.59/4.89 (step @p558 :rule evaluate :args ((not true))) % 4.59/4.89 (step @p559 :rule eq-refl :args (@t20)) % 4.59/4.89 (step @p560 :rule cong :premises (@p559) :args (@t646)) % 4.59/4.89 (step @p561 :rule trans :premises (@p560 @p558)) % 4.59/4.89 (step @p562 :rule nary_cong :premises (@p561 @p557) :args (@t647)) % 4.59/4.89 (step @p563 :rule trans :premises (@p562 @p556)) % 4.59/4.89 (step @p564 :rule refl :args (@t635)) % 4.59/4.89 (step @p565 :rule cong :premises (@p564 @p563) :args ((=> @t635 @t647))) % 4.59/4.89 (assume-push @p682 @t635) % 4.59/4.89 (step @p567 :rule instantiate :premises (@p555) :args ((@list @t19))) % 4.59/4.89 (step-pop @p683 :rule scope :premises (@p567)) % 4.59/4.89 (step @p568 :rule process_scope :premises (@p683) :args (@t647)) % 4.59/4.89 (step @p570 :rule eq_resolve :premises (@p568 @p565)) % 4.59/4.89 (step @p571 :rule implies_elim :premises (@p570)) % 4.59/4.89 (step @p572 :rule chain_m_resolution :premises (@p571 @p555) :args (@t645 (@list false) (@list @t635))) % 4.59/4.89 (step @p573 :rule refl :args (@t648)) % 4.59/4.89 (step @p574 :rule bool-double-not-elim :args (@t651)) % 4.59/4.89 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or (not @t652) @t648))) % 4.59/4.89 (step @p576 :rule bool-impl-elim :args (@t652 @t648)) % 4.59/4.89 (step @p577 :rule trans :premises (@p576 @p575)) % 4.59/4.89 (step @p578 :rule cong :premises (@p577) :args ((forall @t460 (=> @t652 @t648)))) % 4.59/4.89 (step @p579 :rule arith_poly_norm :args ((= (* 1 (- @t494 @t434)) (* -1 (- @t434 @t494))))) % 4.59/4.89 (step @p580 :rule arith_poly_norm_rel :premises (@p579) :args ((= @t495 @t648))) % 4.59/4.89 (step @p581 :rule arith_poly_norm :args ((= (* 1 (- @t434 @t488)) (* 1 (- @t650 0))))) % 4.59/4.89 (step @p582 :rule arith_poly_norm_rel :premises (@p581) :args ((= @t653 @t651))) % 4.59/4.89 (step @p583 :rule cong :premises (@p582) :args ((not @t653))) % 4.59/4.89 (step @p584 :rule arith-elim-lt :args (@t434 @t488)) % 4.59/4.89 (step @p585 :rule trans :premises (@p584 @p583)) % 4.59/4.89 (step @p586 :rule cong :premises (@p585 @p580) :args (@t496)) % 4.59/4.89 (step @p587 :rule cong :premises (@p586) :args (@t497)) % 4.59/4.89 (step @p588 :rule trans :premises (@p587 @p578)) % 4.59/4.89 (step @p589 :rule eq_resolve :premises (@p367 @p588)) % 4.59/4.89 (step @p590 :rule instantiate :premises (@p589) :args ((@list |tptp.'i$'|))) % 4.59/4.89 (step @p591 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t488)) (* 1 (- @t654 0))))) % 4.59/4.89 (step @p592 :rule arith_poly_norm_rel :premises (@p591) :args ((= @t656 @t655))) % 4.59/4.89 (step @p593 :rule cong :premises (@p592) :args ((not @t656))) % 4.59/4.89 (step @p594 :rule arith-elim-lt :args (@t28 @t488)) % 4.59/4.89 (step @p595 :rule trans :premises (@p594 @p593)) % 4.59/4.89 (step @p596 :rule eq_resolve :premises (@p353 @p595)) % 4.59/4.89 (step @p597 :rule cnf_or_pos :args (@t658)) % 4.59/4.89 (step @p598 :rule reordering :premises (@p597) :args ((or @t655 @t657 (not @t658)))) % 4.59/4.89 (step @p599 :rule chain_m_resolution :premises (@p598 @p596 @p590) :args (@t657 (@list true false) (@list @t655 @t658))) % 4.59/4.89 (step @p600 :rule refl :args (@t659)) % 4.59/4.89 (step @p601 :rule refl :args (@t660)) % 4.59/4.89 (step @p602 :rule refl :args (@t662)) % 4.59/4.89 (step @p603 :rule bool-double-not-elim :args (@t630)) % 4.59/4.89 (step @p604 :rule nary_cong :premises (@p603 @p602 @p601 @p600) :args ((or (not @t663) @t662 @t660 @t659))) % 4.59/4.89 (assume-push @p684 @t657) % 4.59/4.89 (assume-push @p685 @t661) % 4.59/4.89 (assume-push @p686 @t645) % 4.59/4.89 (assume-push @p687 @t663) % 4.59/4.89 (step @p609 :rule arith-elim-lt :args (@t628 1)) % 4.59/4.89 (step @p610 :rule cong :premises (@p609) :args ((not @t664))) % 4.59/4.89 (step @p611 :rule trans :premises (@p610 @p603)) % 4.59/4.89 (step @p612 :rule symm :premises (@p611)) % 4.59/4.89 (assume-push @p688 @t664) % 4.59/4.89 (step @p614 :rule evaluate :args ((>= 0 0))) % 4.59/4.89 (step @p615 :rule evaluate :args ((+ 1 -1 0 0))) % 4.59/4.89 (step @p616 :rule refl :args (0)) % 4.59/4.89 (step @p617 :rule evaluate :args (@t665)) % 4.59/4.89 (step @p618 :rule refl :args (1)) % 4.59/4.89 (step @p619 :rule nary_cong :premises (@p618 @p617 @p616 @p616) :args (@t666)) % 4.59/4.89 (step @p620 :rule trans :premises (@p619 @p615)) % 4.59/4.89 (step @p621 :rule arith_poly_norm :args ((= (+ 0 @t667 @t627 @t28 @t30 0) 0))) % 4.59/4.89 (step @p622 :rule arith_poly_norm :args ((= @t668 0))) % 4.59/4.89 (step @p623 :rule refl :args (@t30)) % 4.59/4.89 (step @p624 :rule refl :args (@t28)) % 4.59/4.89 (step @p625 :rule refl :args (@t627)) % 4.59/4.89 (step @p626 :rule refl :args (@t667)) % 4.59/4.89 (step @p627 :rule arith_poly_norm :args ((= @t669 0))) % 4.59/4.89 (step @p628 :rule nary_cong :premises (@p627 @p626 @p625 @p624 @p623 @p622) :args (@t670)) % 4.59/4.89 (step @p629 :rule trans :premises (@p628 @p621)) % 4.59/4.89 (step @p630 :rule arith_poly_norm :args ((= @t673 @t670))) % 4.59/4.89 (step @p631 :rule trans :premises (@p630 @p629)) % 4.59/4.89 (step @p632 :rule cong :premises (@p631 @p620) :args (@t674)) % 4.59/4.89 (step @p633 :rule trans :premises (@p632 @p614)) % 4.59/4.89 (step @p634 :rule cong :premises (@p633) :args ((not @t674))) % 4.59/4.89 (step @p635 :rule trans :premises (@p634 @p558)) % 4.59/4.89 (step @p636 :rule arith-elim-lt :args (@t673 @t666)) % 4.59/4.89 (step @p637 :rule trans :premises (@p636 @p635)) % 4.59/4.89 (step @p638 :rule arith_poly_norm :args ((= (* 1 (- @t671 0)) (* 1 (- @t28 @t642))))) % 4.59/4.89 (step @p639 :rule arith_poly_norm_rel :premises (@p638) :args ((= (= @t671 0) @t657))) % 4.59/4.89 (step @p640 :rule symm :premises (@p639)) % 4.59/4.89 (step @p641 :rule eq_resolve :premises (@p599 @p640)) % 4.70/4.90 (step @p642 :rule arith_poly_norm :args ((= (* 1 (- @t672 0)) (* 1 (- @t17 @t30))))) % 4.70/4.90 (step @p643 :rule arith_poly_norm_rel :premises (@p642) :args ((= (= @t672 0) @t661))) % 4.70/4.90 (step @p644 :rule symm :premises (@p643)) % 4.70/4.90 (step @p645 :rule eq_resolve :premises (@p533 @p644)) % 4.70/4.90 (step @p646 :rule arith_mult_neg :args (-1 @t645)) % 4.70/4.90 (step @p647 :rule evaluate :args ((< -1 0))) % 4.70/4.90 (step @p648 :rule true_elim :premises (@p647)) % 4.70/4.90 (step @p649 :rule and_intro :premises (@p648 @p572)) % 4.70/4.90 (step @p650 :rule modus_ponens :premises (@p649 @p646)) % 4.70/4.90 (step @p651 :rule symm :premises (@p609)) % 4.70/4.90 (step @p652 :rule eq_resolve :premises (@p9 @p531)) % 4.70/4.90 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 4.70/4.90 (step @p654 :rule arith_sum_ub :premises (@p653 @p650 @p645 @p641)) % 4.70/4.90 (step @p655 false :rule eq_resolve :premises (@p654 @p637)) % 4.70/4.90 (step-pop @p689 :rule scope :premises (@p655)) % 4.70/4.90 (step @p656 :rule process_scope :premises (@p689) :args (false)) % 4.70/4.90 (step @p658 :rule eq_resolve :premises (@p656 @p611)) % 4.70/4.90 (step @p659 :rule eq_resolve :premises (@p658 @p612)) % 4.70/4.90 (step @p651 :rule symm :premises (@p609)) % 4.70/4.90 (step @p660 :rule eq_resolve :premises (@p532 @p651)) % 4.70/4.90 (step @p661 false :rule contra :premises (@p660 @p659)) % 4.70/4.90 (step-pop @p690 :rule scope :premises (@p661)) % 4.70/4.90 (step-pop @p691 :rule scope :premises (@p690)) % 4.70/4.90 (step-pop @p692 :rule scope :premises (@p691)) % 4.70/4.90 (step-pop @p693 :rule scope :premises (@p692)) % 4.70/4.90 (step @p662 :rule process_scope :premises (@p693) :args (false)) % 4.70/4.90 (assume-push @p694 @t663) % 4.70/4.90 (assume-push @p695 @t661) % 4.70/4.90 (assume-push @p696 @t645) % 4.70/4.90 (assume-push @p697 @t657) % 4.70/4.90 (step @p671 :rule and_intro :premises (@p599 @p533 @p572 @p532)) % 4.70/4.90 (step-pop @p698 :rule scope :premises (@p671)) % 4.70/4.90 (step-pop @p699 :rule scope :premises (@p698)) % 4.70/4.90 (step-pop @p700 :rule scope :premises (@p699)) % 4.70/4.90 (step-pop @p701 :rule scope :premises (@p700)) % 4.70/4.90 (step @p672 :rule process_scope :premises (@p701) :args (@t675)) % 4.70/4.90 (step @p677 :rule implies_elim :premises (@p672)) % 4.70/4.90 (step @p678 :rule resolution :premises (@p677 @p662) :args (true @t675)) % 4.70/4.90 (step @p679 :rule not_and :premises (@p678)) % 4.70/4.90 (step @p680 :rule eq_resolve :premises (@p679 @p604)) % 4.70/4.90 (step @p681 false :rule chain_m_resolution :premises (@p680 @p599 @p572 @p533 @p532) :args (false (@list false false false true) (@list @t657 @t645 @t661 @t630))) % 4.70/4.90 ) % 4.70/4.90 % SZS output end Proof % 4.70/4.90 % cvc5 exiting %------------------------------------------------------------------------------