%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP335_1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:26:22 AM UTC 2026 % Result : Theorem 0.50s 0.99s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP335_1 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 05:01:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.66 %----Proving TF0_ARI % 0.50/0.99 --- Run --finite-model-find --decision=internal at 45... % 0.50/0.99 % SZS status Theorem % 0.50/0.99 % SZS output start Proof % 0.50/0.99 ( % 0.50/0.99 (declare-sort |tptp.'Nat_nat_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Nat_real_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Nat_bool_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Real_real_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Int_real_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Real_int_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Int_int_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Nat$'| 0) % 0.50/0.99 (declare-sort tptp.tlbool 0) % 0.50/0.99 (declare-sort |tptp.'Rows_a_cols_vec_bool_fun_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_rows_vec_rows_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'Real_real_bool_fun_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Rows$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_cols_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'Int_bool_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Int_int_bool_fun_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_cols_vec_a_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_cols_vec_rows_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'Real_bool_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_cols_vec_bool_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_rows_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'Rows_a_cols_vec_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_a_rows_vec_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Rows_a_rows_vec_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_rows_vec_cols_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_cols_vec_cols_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_rows_vec_a_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_a_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_rows_vec_rows_vec_rows_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_cols_vec_rows_vec_rows_vec$'| 0) % 0.50/0.99 (declare-sort |tptp.'Cols$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_a_cols_vec_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'A_rows_vec_bool_fun$'| 0) % 0.50/0.99 (declare-sort |tptp.'Rows_a_rows_vec_bool_fun_fun$'| 0) % 0.50/0.99 (declare-const |tptp.'mat$'| (-> |tptp.'A$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'uminus$c'| (-> |tptp.'A_cols_vec$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'uminus$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'times$d'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'times$c'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'times$a'| (-> Int |tptp.'Int_int_fun$'|)) % 0.50/0.99 (declare-const |tptp.'times$'| (-> Real |tptp.'Real_real_fun$'|)) % 0.50/0.99 (declare-const |tptp.'reduced_row_echelon_form$a'| (-> |tptp.'A_cols_vec_rows_vec$'| Bool)) % 0.50/0.99 (declare-const |tptp.'column$a'| (-> |tptp.'Cols$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'dbl_inc$'| |tptp.'Int_int_fun$'|) % 0.50/0.99 (declare-const |tptp.'fun_app$u'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|)) % 0.50/0.99 (declare-const |tptp.'of_nat$e'| (-> |tptp.'Nat$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'times$b'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'of_nat$b'| (-> |tptp.'Nat$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'of_nat$c'| (-> |tptp.'Nat$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'zero$f'| |tptp.'Cols$'|) % 0.50/0.99 (declare-const |tptp.'one$e'| |tptp.'Rows$'|) % 0.50/0.99 (declare-const |tptp.'dbl_inc$a'| |tptp.'Real_real_fun$'|) % 0.50/0.99 (declare-const |tptp.'less$'| (-> |tptp.'Rows$'| |tptp.'Rows$'| Bool)) % 0.50/0.99 (declare-const |tptp.'one$c'| |tptp.'A_cols_vec_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'one$a'| |tptp.'A_rows_vec_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'fun_app$t'| (-> |tptp.'Nat_real_fun$'| |tptp.'Nat$'| Real)) % 0.50/0.99 (declare-const |tptp.'of_nat$a'| |tptp.'Nat_real_fun$'|) % 0.50/0.99 (declare-const |tptp.'column$'| (-> |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'one$'| |tptp.'A$'|) % 0.50/0.99 (declare-const |tptp.'fun_app$s'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool)) % 0.50/0.99 (declare-const |tptp.'reduced_row_echelon_form$'| (-> |tptp.'A_rows_vec_rows_vec$'| Bool)) % 0.50/0.99 (declare-const |tptp.'gauss_Jordan_in_ij$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Cols$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'gauss_Jordan_in_ij$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'zero$e'| |tptp.'A$'|) % 0.50/0.99 (declare-const |tptp.'interchange_columns$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Cols$'| |tptp.'Cols$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'gauss_Jordan$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'uminus$b'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'gauss_Jordan$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$r'| (-> |tptp.'Real_real_fun$'| Real Real)) % 0.50/0.99 (declare-const |tptp.'fun_app$q'| (-> |tptp.'Int_real_fun$'| Int Real)) % 0.50/0.99 (declare-const |tptp.'zero$d'| |tptp.'Rows$'|) % 0.50/0.99 (declare-const |tptp.'rank$a'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'Nat$'|)) % 0.50/0.99 (declare-const |tptp.'mat_row$a'| (-> |tptp.'A_cols_vec$'| |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'rank$b'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Nat$'|)) % 0.50/0.99 (declare-const |tptp.'mat_row$'| (-> |tptp.'A_rows_vec$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'less_eq$'| (-> |tptp.'Rows$'| |tptp.'Rows$'| Bool)) % 0.50/0.99 (declare-const |tptp.'transpose$b'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_rows_vec_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'matrix_matrix_mult$d'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'zero$b'| |tptp.'A_rows_vec_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'zero$c'| |tptp.'A_cols_vec_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'fun_app$o'| (-> |tptp.'Int_int_fun$'| Int Int)) % 0.50/0.99 (declare-const |tptp.'zero$'| |tptp.'A_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'zero$a'| |tptp.'A_cols_vec$'|) % 0.50/0.99 (declare-const |tptp.'axis$a'| (-> |tptp.'Rows$'| |tptp.'A_cols_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'axis$'| (-> |tptp.'Rows$'| |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'rank$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Nat$'|)) % 0.50/0.99 (declare-const |tptp.'of_nat$'| (-> |tptp.'Nat$'| Int)) % 0.50/0.99 (declare-const |tptp.'fun_app$g'| (-> |tptp.'A_rows_vec_a_fun$'| |tptp.'A_rows_vec$'| |tptp.'A$'|)) % 0.50/0.99 (declare-const |tptp.'one$d'| |tptp.'A_cols_vec$'|) % 0.50/0.99 (declare-const |tptp.'matrix_matrix_mult$b'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'matrix_matrix_mult$c'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_cols_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'vec_nth$b'| (-> |tptp.'A_rows_vec$'| |tptp.'Rows$'| |tptp.'A$'|)) % 0.50/0.99 (declare-const |tptp.'vec_nth$d'| (-> |tptp.'A_cols_vec_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'vector_matrix_mult$c'| (-> |tptp.'A_cols_vec$'| |tptp.'A_cols_vec_cols_vec$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'vector_matrix_mult$b'| (-> |tptp.'A_cols_vec$'| |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'map_matrix$'| (-> |tptp.'A_a_fun$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$j'| (-> |tptp.'A_a_cols_vec_fun$'| |tptp.'A$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$p'| (-> |tptp.'Real_int_fun$'| Real Int)) % 0.50/0.99 (declare-const |tptp.'vector_matrix_mult$a'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'vec$a'| (-> |tptp.'A_cols_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'mat_mult_row$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows_a_cols_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'matrix_matrix_mult$a'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'row$'| (-> |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'times$e'| (-> |tptp.'A_cols_vec$'| |tptp.'A_cols_vec$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$'| (-> |tptp.'Real_bool_fun$'| Real Bool)) % 0.50/0.99 (declare-const |tptp.'vector_matrix_mult$'| (-> |tptp.'A_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$e'| (-> |tptp.'Rows_a_cols_vec_fun$'| |tptp.'Rows$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'uua$'| |tptp.'Real_real_bool_fun_fun$'|) % 0.50/0.99 (declare-const |tptp.'columnvector_row$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$a'| (-> |tptp.'Real_real_bool_fun_fun$'| Real |tptp.'Real_bool_fun$'|)) % 0.50/0.99 (declare-const |tptp.'one$b'| |tptp.'A_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'fun_app$d'| (-> |tptp.'Rows_a_rows_vec_fun$'| |tptp.'Rows$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'of_nat$d'| (-> |tptp.'Nat$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_columns_row$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'Rows_a_rows_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'vec_nth$c'| (-> |tptp.'A_rows_vec_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'uu$'| |tptp.'Int_int_bool_fun_fun$'|) % 0.50/0.99 (declare-const |tptp.'map_matrix$b'| (-> |tptp.'A_cols_vec_a_fun$'| |tptp.'A_cols_vec_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_columns_row$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Cols$'| |tptp.'Cols$'| |tptp.'Rows_a_cols_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_rows_row$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'Rows_a_rows_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_columns$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'i$'| |tptp.'Rows$'|) % 0.50/0.99 (declare-const |tptp.'vec_nth$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows_a_rows_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'matrix_matrix_mult$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$b'| (-> |tptp.'Int_bool_fun$'| Int Bool)) % 0.50/0.99 (declare-const |tptp.'a$'| |tptp.'A_cols_vec_rows_vec$'|) % 0.50/0.99 (declare-const |tptp.'vec$'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'vec_nth$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows_a_cols_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'uminus$a'| (-> |tptp.'A_rows_vec$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'map_matrix$a'| (-> |tptp.'A_rows_vec_a_fun$'| |tptp.'A_rows_vec_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'p_Gauss_Jordan$'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$h'| (-> |tptp.'A_cols_vec_a_fun$'| |tptp.'A_cols_vec$'| |tptp.'A$'|)) % 0.50/0.99 (declare-const |tptp.'vec_nth$e'| (-> |tptp.'A_cols_vec$'| |tptp.'Cols$'| |tptp.'A$'|)) % 0.50/0.99 (declare-const |tptp.'to_nat$'| (-> |tptp.'Rows$'| |tptp.'Nat$'|)) % 0.50/0.99 (declare-const |tptp.'map_matrix$c'| (-> |tptp.'A_a_fun$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$i'| (-> |tptp.'A_a_rows_vec_fun$'| |tptp.'A$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$m'| (-> |tptp.'A_cols_vec_bool_fun$'| |tptp.'A_cols_vec$'| Bool)) % 0.50/0.99 (declare-const |tptp.'row$a'| (-> |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'| |tptp.'A_cols_vec$'|)) % 0.50/0.99 (declare-const |tptp.'map_matrix$d'| (-> |tptp.'A_a_rows_vec_fun$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$c'| (-> |tptp.'Int_int_bool_fun_fun$'| Int |tptp.'Int_bool_fun$'|)) % 0.50/0.99 (declare-const |tptp.'map_matrix$e'| (-> |tptp.'A_a_cols_vec_fun$'| |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_cols_vec_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_rows$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$l'| (-> |tptp.'Rows_a_rows_vec_bool_fun_fun$'| |tptp.'Rows$'| |tptp.'A_rows_vec_bool_fun$'|)) % 0.50/0.99 (declare-const tptp.tlfalse tptp.tlbool) % 0.50/0.99 (declare-const |tptp.'fun_app$k'| (-> |tptp.'A_rows_vec_bool_fun$'| |tptp.'A_rows_vec$'| Bool)) % 0.50/0.99 (declare-const |tptp.'transpose_row$b'| (-> |tptp.'A_rows_vec_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'fun_app$n'| (-> |tptp.'Rows_a_cols_vec_bool_fun_fun$'| |tptp.'Rows$'| |tptp.'A_cols_vec_bool_fun$'|)) % 0.50/0.99 (declare-const tptp.tltrue tptp.tlbool) % 0.50/0.99 (declare-const |tptp.'fun_app$f'| (-> |tptp.'A_a_fun$'| |tptp.'A$'| |tptp.'A$'|)) % 0.50/0.99 (declare-const |tptp.'transpose_row$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows_a_rows_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'transpose$a'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'transpose_row$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Cols$'| |tptp.'A_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'transpose_row$c'| (-> |tptp.'A_cols_vec_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'columnvector_row$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_rows_row$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'Rows_a_cols_vec_fun$'|)) % 0.50/0.99 (declare-const |tptp.'interchange_rows$a'| (-> |tptp.'A_cols_vec_rows_vec$'| |tptp.'Rows$'| |tptp.'Rows$'| |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'transpose$'| (-> |tptp.'A_rows_vec_rows_vec$'| |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|)) % 0.50/0.99 (declare-const |tptp.'transpose_row$d'| (-> |tptp.'A_rows_vec_cols_vec$'| |tptp.'Rows_a_cols_vec_fun$'|)) % 0.50/0.99 (define @t1 () (@var "A__questionmark_v1" Real)) % 0.50/0.99 (define @t2 () (@var "A__questionmark_v0" Real)) % 0.50/0.99 (define @t3 () (< @t2 @t1)) % 0.50/0.99 (define @t4 () (@list @t2 @t1)) % 0.50/0.99 (define @t5 () (@var "A__questionmark_v1" Int)) % 0.50/0.99 (define @t6 () (@var "A__questionmark_v0" Int)) % 0.50/0.99 (define @t7 () (< @t6 @t5)) % 0.50/0.99 (define @t8 () (@list @t6 @t5)) % 0.50/0.99 (define @t9 () (|tptp.'p_Gauss_Jordan$'| |tptp.'a$'|)) % 0.50/0.99 (define @t10 () (|tptp.'vector_matrix_mult$'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| @t9) |tptp.'i$'|) |tptp.'a$'|)) % 0.50/0.99 (define @t11 () (= @t10 (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'matrix_matrix_mult$'| @t9 |tptp.'a$'|)) |tptp.'i$'|))) % 0.50/0.99 (define @t12 () (@var "A__questionmark_v1" |tptp.'Rows$'|)) % 0.50/0.99 (define @t13 () (@var "A__questionmark_v2" |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t14 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t15 () (|tptp.'vec_nth$'| @t14)) % 0.50/0.99 (define @t16 () (|tptp.'fun_app$d'| @t15 @t12)) % 0.50/0.99 (define @t17 () (@var "A__questionmark_v2" |tptp.'A_rows_vec_cols_vec$'|)) % 0.50/0.99 (define @t18 () (@var "A__questionmark_v0" |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (define @t19 () (|tptp.'vec_nth$a'| @t18)) % 0.50/0.99 (define @t20 () (|tptp.'fun_app$e'| @t19 @t12)) % 0.50/0.99 (define @t21 () (@var "A__questionmark_v2" |tptp.'A_cols_vec_cols_vec$'|)) % 0.50/0.99 (define @t22 () (@var "A__questionmark_v2" |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (define @t23 () (forall (@list @t14 @t12 @t22) (= (|tptp.'vector_matrix_mult$'| @t16 @t22) (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'matrix_matrix_mult$'| @t14 @t22)) @t12)))) % 0.50/0.99 (define @t24 () (@var "A__questionmark_v1" |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (define @t25 () (|tptp.'matrix_matrix_mult$c'| @t24 @t21)) % 0.50/0.99 (define @t26 () (@var "A__questionmark_v0" |tptp.'A_rows_vec$'|)) % 0.50/0.99 (define @t27 () (@var "A__questionmark_v1" |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t28 () (|tptp.'matrix_matrix_mult$'| @t27 @t22)) % 0.50/0.99 (define @t29 () (@var "A__questionmark_v3" |tptp.'Rows$'|)) % 0.50/0.99 (define @t30 () (@var "A__questionmark_v2" |tptp.'Rows$'|)) % 0.50/0.99 (define @t31 () (|tptp.'vec_nth$'| @t27)) % 0.50/0.99 (define @t32 () (|tptp.'fun_app$d'| @t31 @t30)) % 0.50/0.99 (define @t33 () (|tptp.'vec_nth$b'| @t32 @t29)) % 0.50/0.99 (define @t34 () (@var "A__questionmark_v0" |tptp.'A_a_fun$'|)) % 0.50/0.99 (define @t35 () (@var "A__questionmark_v1" |tptp.'A_rows_vec_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t36 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_a_fun$'|)) % 0.50/0.99 (define @t37 () (@var "A__questionmark_v1" |tptp.'A_cols_vec_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t38 () (@var "A__questionmark_v0" |tptp.'A_cols_vec_a_fun$'|)) % 0.50/0.99 (define @t39 () (@var "A__questionmark_v3" |tptp.'Cols$'|)) % 0.50/0.99 (define @t40 () (|tptp.'vec_nth$a'| @t24)) % 0.50/0.99 (define @t41 () (|tptp.'fun_app$e'| @t40 @t30)) % 0.50/0.99 (define @t42 () (@var "A__questionmark_v0" |tptp.'A_a_rows_vec_fun$'|)) % 0.50/0.99 (define @t43 () (@var "A__questionmark_v0" |tptp.'A_a_cols_vec_fun$'|)) % 0.50/0.99 (define @t44 () (|tptp.'matrix_matrix_mult$'| @t14 @t24)) % 0.50/0.99 (define @t45 () (= @t14 @t27)) % 0.50/0.99 (define @t46 () (@list @t14 @t27)) % 0.50/0.99 (define @t47 () (= @t18 @t24)) % 0.50/0.99 (define @t48 () (@list @t18 @t24)) % 0.50/0.99 (define @t49 () (@var "A__questionmark_v0" |tptp.'Rows_a_rows_vec_bool_fun_fun$'|)) % 0.50/0.99 (define @t50 () (@list @t30)) % 0.50/0.99 (define @t51 () (@var "A__questionmark_v2" |tptp.'A_rows_vec$'|)) % 0.50/0.99 (define @t52 () (@list @t12)) % 0.50/0.99 (define @t53 () (@var "A__questionmark_v0" |tptp.'Rows_a_cols_vec_bool_fun_fun$'|)) % 0.50/0.99 (define @t54 () (@var "A__questionmark_v2" |tptp.'A_cols_vec$'|)) % 0.50/0.99 (define @t55 () (|tptp.'fun_app$d'| @t15 @t30)) % 0.50/0.99 (define @t56 () (|tptp.'fun_app$e'| @t19 @t30)) % 0.50/0.99 (define @t57 () (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| @t13) @t29)) % 0.50/0.99 (define @t58 () (@var "A__questionmark_v0" tptp.tlbool)) % 0.50/0.99 (define @t59 () (= @t58 tptp.tltrue)) % 0.50/0.99 (define @t60 () (not @t59)) % 0.50/0.99 (define @t61 () (|tptp.'fun_app$d'| @t31 @t29)) % 0.50/0.99 (define @t62 () (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| @t22) @t29)) % 0.50/0.99 (define @t63 () (|tptp.'fun_app$e'| @t40 @t29)) % 0.50/0.99 (define @t64 () (@list @t14 @t24)) % 0.50/0.99 (define @t65 () (|tptp.'transpose_row$'| @t14)) % 0.50/0.99 (define @t66 () (@list @t14 @t12 @t30)) % 0.50/0.99 (define @t67 () (@var "A__questionmark_v1" |tptp.'Cols$'|)) % 0.50/0.99 (define @t68 () (@list @t18 @t67 @t30)) % 0.50/0.99 (define @t69 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t70 () (@var "A__questionmark_v0" |tptp.'A_cols_vec_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t71 () (@var "A__questionmark_v4" |tptp.'Rows$'|)) % 0.50/0.99 (define @t72 () (|tptp.'fun_app$d'| @t15 @t29)) % 0.50/0.99 (define @t73 () (|tptp.'vec_nth$b'| @t72 @t71)) % 0.50/0.99 (define @t74 () (|tptp.'interchange_rows_row$'| @t14 @t12 @t30)) % 0.50/0.99 (define @t75 () (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t74 @t29) @t71)) % 0.50/0.99 (define @t76 () (= @t29 @t30)) % 0.50/0.99 (define @t77 () (not @t76)) % 0.50/0.99 (define @t78 () (= @t29 @t12)) % 0.50/0.99 (define @t79 () (not @t78)) % 0.50/0.99 (define @t80 () (@list @t14 @t12 @t30 @t29 @t71)) % 0.50/0.99 (define @t81 () (@var "A__questionmark_v4" |tptp.'Cols$'|)) % 0.50/0.99 (define @t82 () (|tptp.'fun_app$e'| @t19 @t29)) % 0.50/0.99 (define @t83 () (|tptp.'vec_nth$e'| @t82 @t81)) % 0.50/0.99 (define @t84 () (|tptp.'interchange_rows_row$a'| @t18 @t12 @t30)) % 0.50/0.99 (define @t85 () (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| @t84 @t29) @t81)) % 0.50/0.99 (define @t86 () (@var "A__questionmark_v0" |tptp.'Rows$'|)) % 0.50/0.99 (define @t87 () (|tptp.'row$'| @t86 @t27)) % 0.50/0.99 (define @t88 () (|tptp.'interchange_columns_row$'| @t14 @t12 @t30)) % 0.50/0.99 (define @t89 () (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t88 @t29) @t71)) % 0.50/0.99 (define @t90 () (= @t71 @t30)) % 0.50/0.99 (define @t91 () (|tptp.'vec_nth$b'| @t72 @t12)) % 0.50/0.99 (define @t92 () (= @t71 @t12)) % 0.50/0.99 (define @t93 () (@var "A__questionmark_v2" |tptp.'Cols$'|)) % 0.50/0.99 (define @t94 () (|tptp.'interchange_columns_row$a'| @t18 @t67 @t93)) % 0.50/0.99 (define @t95 () (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| @t94 @t29) @t81)) % 0.50/0.99 (define @t96 () (= @t81 @t93)) % 0.50/0.99 (define @t97 () (|tptp.'vec_nth$e'| @t82 @t67)) % 0.50/0.99 (define @t98 () (= @t81 @t67)) % 0.50/0.99 (define @t99 () (@list @t18 @t12 @t30)) % 0.50/0.99 (define @t100 () (|tptp.'vec_nth$'| (|tptp.'interchange_rows$'| @t14 @t12 @t30))) % 0.50/0.99 (define @t101 () (|tptp.'vec_nth$a'| (|tptp.'interchange_rows$a'| @t18 @t12 @t30))) % 0.50/0.99 (define @t102 () (|tptp.'transpose$'| @t14)) % 0.50/0.99 (define @t103 () (@list @t14)) % 0.50/0.99 (define @t104 () (@var "A__questionmark_v0" |tptp.'A_rows_vec_cols_vec$'|)) % 0.50/0.99 (define @t105 () (|tptp.'transpose$a'| @t104)) % 0.50/0.99 (define @t106 () (@list @t104)) % 0.50/0.99 (define @t107 () (@var "A__questionmark_v1" |tptp.'A_rows_vec$'|)) % 0.50/0.99 (define @t108 () (@var "A__questionmark_v1" |tptp.'A_cols_vec$'|)) % 0.50/0.99 (define @t109 () (@list @t18)) % 0.50/0.99 (define @t110 () (@var "A__questionmark_v0" |tptp.'A_cols_vec$'|)) % 0.50/0.99 (define @t111 () (@list @t86)) % 0.50/0.99 (define @t112 () (|tptp.'transpose$'| @t27)) % 0.50/0.99 (define @t113 () (@var "A__questionmark_v3" |tptp.'A_rows_vec_rows_vec$'|)) % 0.50/0.99 (define @t114 () (= @t86 @t12)) % 0.50/0.99 (define @t115 () (and (not @t114) (not (= @t30 @t12)))) % 0.50/0.99 (define @t116 () (@var "A__questionmark_v3" |tptp.'A_cols_vec_rows_vec$'|)) % 0.50/0.99 (define @t117 () (|tptp.'of_nat$'| (|tptp.'to_nat$'| @t12))) % 0.50/0.99 (define @t118 () (|tptp.'of_nat$'| (|tptp.'to_nat$'| @t86))) % 0.50/0.99 (define @t119 () (@list @t86 @t12)) % 0.50/0.99 (define @t120 () (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'mat_row$'| @t26 @t12)) @t30)) % 0.50/0.99 (define @t121 () (= @t12 @t30)) % 0.50/0.99 (define @t122 () (not @t121)) % 0.50/0.99 (define @t123 () (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'mat_row$a'| @t110 @t12)) @t30)) % 0.50/0.99 (define @t124 () (@list @t6)) % 0.50/0.99 (define @t125 () (@list @t2)) % 0.50/0.99 (define @t126 () (|tptp.'of_nat$'| (|tptp.'rank$'| @t18))) % 0.50/0.99 (define @t127 () (= @t5 @t6)) % 0.50/0.99 (define @t128 () (not @t127)) % 0.50/0.99 (define @t129 () (<= @t5 @t6)) % 0.50/0.99 (define @t130 () (<= @t6 @t5)) % 0.50/0.99 (define @t131 () (not @t130)) % 0.50/0.99 (define @t132 () (= @t1 @t2)) % 0.50/0.99 (define @t133 () (not @t132)) % 0.50/0.99 (define @t134 () (<= @t1 @t2)) % 0.50/0.99 (define @t135 () (<= @t2 @t1)) % 0.50/0.99 (define @t136 () (not @t135)) % 0.50/0.99 (define @t137 () (@var "A__questionmark_v2" Int)) % 0.50/0.99 (define @t138 () (<= @t137 @t6)) % 0.50/0.99 (define @t139 () (<= @t5 @t137)) % 0.50/0.99 (define @t140 () (<= @t137 @t5)) % 0.50/0.99 (define @t141 () (<= @t6 @t137)) % 0.50/0.99 (define @t142 () (and @t130 @t139)) % 0.50/0.99 (define @t143 () (@list @t6 @t5 @t137)) % 0.50/0.99 (define @t144 () (@var "A__questionmark_v2" Real)) % 0.50/0.99 (define @t145 () (<= @t144 @t2)) % 0.50/0.99 (define @t146 () (<= @t1 @t144)) % 0.50/0.99 (define @t147 () (<= @t144 @t1)) % 0.50/0.99 (define @t148 () (<= @t2 @t144)) % 0.50/0.99 (define @t149 () (and @t135 @t146)) % 0.50/0.99 (define @t150 () (@list @t2 @t1 @t144)) % 0.50/0.99 (define @t151 () (and @t130 @t129)) % 0.50/0.99 (define @t152 () (= @t6 @t5)) % 0.50/0.99 (define @t153 () (and @t135 @t134)) % 0.50/0.99 (define @t154 () (= @t2 @t1)) % 0.50/0.99 (define @t155 () (= @t5 @t137)) % 0.50/0.99 (define @t156 () (= @t1 @t144)) % 0.50/0.99 (define @t157 () (@var "A__questionmark_v0" |tptp.'Int_int_bool_fun_fun$'|)) % 0.50/0.99 (define @t158 () (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| @t157 @t5) @t137)) % 0.50/0.99 (define @t159 () (@var "A__questionmark_v4" Int)) % 0.50/0.99 (define @t160 () (@var "A__questionmark_v3" Int)) % 0.50/0.99 (define @t161 () (|tptp.'fun_app$c'| @t157 @t160)) % 0.50/0.99 (define @t162 () (|tptp.'fun_app$b'| @t161 @t159)) % 0.50/0.99 (define @t163 () (@list @t160 @t159)) % 0.50/0.99 (define @t164 () (forall @t163 (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| @t157 @t159) @t160) @t162))) % 0.50/0.99 (define @t165 () (@list @t157 @t5 @t137)) % 0.50/0.99 (define @t166 () (@var "A__questionmark_v0" |tptp.'Real_real_bool_fun_fun$'|)) % 0.50/0.99 (define @t167 () (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t166 @t1) @t144)) % 0.50/0.99 (define @t168 () (@var "A__questionmark_v4" Real)) % 0.50/0.99 (define @t169 () (@var "A__questionmark_v3" Real)) % 0.50/0.99 (define @t170 () (|tptp.'fun_app$a'| @t166 @t169)) % 0.50/0.99 (define @t171 () (|tptp.'fun_app$'| @t170 @t168)) % 0.50/0.99 (define @t172 () (@list @t169 @t168)) % 0.50/0.99 (define @t173 () (forall @t172 (=> (|tptp.'fun_app$'| (|tptp.'fun_app$a'| @t166 @t168) @t169) @t171))) % 0.50/0.99 (define @t174 () (@list @t166 @t1 @t144)) % 0.50/0.99 (define @t175 () (@var "A__questionmark_v1" |tptp.'Int_int_fun$'|)) % 0.50/0.99 (define @t176 () (|tptp.'fun_app$o'| @t175 @t160)) % 0.50/0.99 (define @t177 () (<= @t6 @t176)) % 0.50/0.99 (define @t178 () (@var "A__questionmark_v5" Int)) % 0.50/0.99 (define @t179 () (|tptp.'fun_app$o'| @t175 @t178)) % 0.50/0.99 (define @t180 () (|tptp.'fun_app$o'| @t175 @t159)) % 0.50/0.99 (define @t181 () (<= @t159 @t178)) % 0.50/0.99 (define @t182 () (@list @t159 @t178)) % 0.50/0.99 (define @t183 () (forall @t182 (=> @t181 (<= @t180 @t179)))) % 0.50/0.99 (define @t184 () (<= @t137 @t160)) % 0.50/0.99 (define @t185 () (|tptp.'fun_app$o'| @t175 @t137)) % 0.50/0.99 (define @t186 () (<= @t6 @t185)) % 0.50/0.99 (define @t187 () (@list @t6 @t175 @t137 @t160)) % 0.50/0.99 (define @t188 () (@var "A__questionmark_v1" |tptp.'Real_int_fun$'|)) % 0.50/0.99 (define @t189 () (|tptp.'fun_app$p'| @t188 @t169)) % 0.50/0.99 (define @t190 () (<= @t6 @t189)) % 0.50/0.99 (define @t191 () (@var "A__questionmark_v5" Real)) % 0.50/0.99 (define @t192 () (|tptp.'fun_app$p'| @t188 @t191)) % 0.50/0.99 (define @t193 () (|tptp.'fun_app$p'| @t188 @t168)) % 0.50/0.99 (define @t194 () (<= @t168 @t191)) % 0.50/0.99 (define @t195 () (@list @t168 @t191)) % 0.50/0.99 (define @t196 () (forall @t195 (=> @t194 (<= @t193 @t192)))) % 0.50/0.99 (define @t197 () (<= @t144 @t169)) % 0.50/0.99 (define @t198 () (|tptp.'fun_app$p'| @t188 @t144)) % 0.50/0.99 (define @t199 () (<= @t6 @t198)) % 0.50/0.99 (define @t200 () (@list @t6 @t188 @t144 @t169)) % 0.50/0.99 (define @t201 () (@var "A__questionmark_v1" |tptp.'Int_real_fun$'|)) % 0.50/0.99 (define @t202 () (|tptp.'fun_app$q'| @t201 @t160)) % 0.50/0.99 (define @t203 () (<= @t2 @t202)) % 0.50/0.99 (define @t204 () (|tptp.'fun_app$q'| @t201 @t178)) % 0.50/0.99 (define @t205 () (|tptp.'fun_app$q'| @t201 @t159)) % 0.50/0.99 (define @t206 () (forall @t182 (=> @t181 (<= @t205 @t204)))) % 0.50/0.99 (define @t207 () (|tptp.'fun_app$q'| @t201 @t137)) % 0.50/0.99 (define @t208 () (<= @t2 @t207)) % 0.50/0.99 (define @t209 () (@list @t2 @t201 @t137 @t160)) % 0.50/0.99 (define @t210 () (@var "A__questionmark_v1" |tptp.'Real_real_fun$'|)) % 0.50/0.99 (define @t211 () (|tptp.'fun_app$r'| @t210 @t169)) % 0.50/0.99 (define @t212 () (<= @t2 @t211)) % 0.50/0.99 (define @t213 () (|tptp.'fun_app$r'| @t210 @t191)) % 0.50/0.99 (define @t214 () (|tptp.'fun_app$r'| @t210 @t168)) % 0.50/0.99 (define @t215 () (forall @t195 (=> @t194 (<= @t214 @t213)))) % 0.50/0.99 (define @t216 () (|tptp.'fun_app$r'| @t210 @t144)) % 0.50/0.99 (define @t217 () (<= @t2 @t216)) % 0.50/0.99 (define @t218 () (@list @t2 @t210 @t144 @t169)) % 0.50/0.99 (define @t219 () (@var "A__questionmark_v2" |tptp.'Int_int_fun$'|)) % 0.50/0.99 (define @t220 () (|tptp.'fun_app$o'| @t219 @t6)) % 0.50/0.99 (define @t221 () (<= @t220 @t160)) % 0.50/0.99 (define @t222 () (|tptp.'fun_app$o'| @t219 @t178)) % 0.50/0.99 (define @t223 () (|tptp.'fun_app$o'| @t219 @t159)) % 0.50/0.99 (define @t224 () (forall @t182 (=> @t181 (<= @t223 @t222)))) % 0.50/0.99 (define @t225 () (|tptp.'fun_app$o'| @t219 @t5)) % 0.50/0.99 (define @t226 () (<= @t225 @t160)) % 0.50/0.99 (define @t227 () (@list @t6 @t5 @t219 @t160)) % 0.50/0.99 (define @t228 () (@var "A__questionmark_v2" |tptp.'Int_real_fun$'|)) % 0.50/0.99 (define @t229 () (|tptp.'fun_app$q'| @t228 @t6)) % 0.50/0.99 (define @t230 () (<= @t229 @t169)) % 0.50/0.99 (define @t231 () (|tptp.'fun_app$q'| @t228 @t178)) % 0.50/0.99 (define @t232 () (|tptp.'fun_app$q'| @t228 @t159)) % 0.50/0.99 (define @t233 () (forall @t182 (=> @t181 (<= @t232 @t231)))) % 0.50/0.99 (define @t234 () (|tptp.'fun_app$q'| @t228 @t5)) % 0.50/0.99 (define @t235 () (<= @t234 @t169)) % 0.50/0.99 (define @t236 () (@list @t6 @t5 @t228 @t169)) % 0.50/0.99 (define @t237 () (@var "A__questionmark_v2" |tptp.'Real_int_fun$'|)) % 0.50/0.99 (define @t238 () (|tptp.'fun_app$p'| @t237 @t2)) % 0.50/0.99 (define @t239 () (<= @t238 @t160)) % 0.50/0.99 (define @t240 () (|tptp.'fun_app$p'| @t237 @t191)) % 0.50/0.99 (define @t241 () (|tptp.'fun_app$p'| @t237 @t168)) % 0.50/0.99 (define @t242 () (forall @t195 (=> @t194 (<= @t241 @t240)))) % 0.50/0.99 (define @t243 () (|tptp.'fun_app$p'| @t237 @t1)) % 0.50/0.99 (define @t244 () (<= @t243 @t160)) % 0.50/0.99 (define @t245 () (@list @t2 @t1 @t237 @t160)) % 0.50/0.99 (define @t246 () (@var "A__questionmark_v2" |tptp.'Real_real_fun$'|)) % 0.50/0.99 (define @t247 () (|tptp.'fun_app$r'| @t246 @t2)) % 0.50/0.99 (define @t248 () (<= @t247 @t169)) % 0.50/0.99 (define @t249 () (|tptp.'fun_app$r'| @t246 @t191)) % 0.50/0.99 (define @t250 () (|tptp.'fun_app$r'| @t246 @t168)) % 0.50/0.99 (define @t251 () (forall @t195 (=> @t194 (<= @t250 @t249)))) % 0.50/0.99 (define @t252 () (|tptp.'fun_app$r'| @t246 @t1)) % 0.50/0.99 (define @t253 () (<= @t252 @t169)) % 0.50/0.99 (define @t254 () (@list @t2 @t1 @t246 @t169)) % 0.50/0.99 (define @t255 () (= @t6 @t185)) % 0.50/0.99 (define @t256 () (= @t2 @t207)) % 0.50/0.99 (define @t257 () (= @t6 @t198)) % 0.50/0.99 (define @t258 () (= @t2 @t216)) % 0.50/0.99 (define @t259 () (= @t225 @t160)) % 0.50/0.99 (define @t260 () (= @t234 @t169)) % 0.50/0.99 (define @t261 () (= @t243 @t160)) % 0.50/0.99 (define @t262 () (= @t252 @t169)) % 0.50/0.99 (define @t263 () (= @t6 0)) % 0.50/0.99 (define @t264 () (= 0 @t6)) % 0.50/0.99 (define @t265 () (= @t2 0/1)) % 0.50/0.99 (define @t266 () (= 0/1 @t2)) % 0.50/0.99 (define @t267 () (@var "A__questionmark_v0" |tptp.'Nat$'|)) % 0.50/0.99 (define @t268 () (|tptp.'of_nat$'| @t267)) % 0.50/0.99 (define @t269 () (<= 0 @t268)) % 0.50/0.99 (define @t270 () (@list @t267)) % 0.50/0.99 (define @t271 () (@list @t14 @t12)) % 0.50/0.99 (define @t272 () (|tptp.'gauss_Jordan$a'| @t18)) % 0.50/0.99 (define @t273 () (@list @t18 @t12)) % 0.50/0.99 (define @t274 () (= @t268 0)) % 0.50/0.99 (define @t275 () (<= @t268 0)) % 0.50/0.99 (define @t276 () (|tptp.'vec_nth$'| (|tptp.'gauss_Jordan_in_ij$'| @t14 @t30 @t12))) % 0.50/0.99 (define @t277 () (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t276 @t29) @t12) |tptp.'zero$e'|)) % 0.50/0.99 (define @t278 () (@list @t29)) % 0.50/0.99 (define @t279 () (|tptp.'less_eq$'| @t30 @t29)) % 0.50/0.99 (define @t280 () (exists @t278 (and (not (= @t91 |tptp.'zero$e'|)) @t279))) % 0.50/0.99 (define @t281 () (|tptp.'vec_nth$a'| (|tptp.'gauss_Jordan_in_ij$a'| @t18 @t30 @t67))) % 0.50/0.99 (define @t282 () (= (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| @t281 @t29) @t67) |tptp.'zero$e'|)) % 0.50/0.99 (define @t283 () (exists @t278 (and (not (= @t97 |tptp.'zero$e'|)) @t279))) % 0.50/0.99 (define @t284 () (not @t274)) % 0.50/0.99 (define @t285 () (=> @t274 false)) % 0.50/0.99 (define @t286 () (@var "A__questionmark_v3" |tptp.'Nat$'|)) % 0.50/0.99 (define @t287 () (|tptp.'of_nat$'| @t286)) % 0.50/0.99 (define @t288 () (@var "A__questionmark_v4" |tptp.'Nat$'|)) % 0.50/0.99 (define @t289 () (|tptp.'of_nat$'| @t288)) % 0.50/0.99 (define @t290 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|)) % 0.50/0.99 (define @t291 () (@list @t288)) % 0.50/0.99 (define @t292 () (|tptp.'fun_app$s'| @t290 @t286)) % 0.50/0.99 (define @t293 () (@list @t286)) % 0.50/0.99 (define @t294 () (@var "A__questionmark_v2" |tptp.'Nat$'|)) % 0.50/0.99 (define @t295 () (|tptp.'of_nat$'| @t294)) % 0.50/0.99 (define @t296 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 0.50/0.99 (define @t297 () (|tptp.'fun_app$s'| @t290 @t296)) % 0.50/0.99 (define @t298 () (|tptp.'of_nat$'| @t296)) % 0.50/0.99 (define @t299 () (<= @t298 @t268)) % 0.50/0.99 (define @t300 () (<= @t268 @t298)) % 0.50/0.99 (define @t301 () (@list @t267 @t296)) % 0.50/0.99 (define @t302 () (= @t268 @t298)) % 0.50/0.99 (define @t303 () (<= @t298 @t295)) % 0.50/0.99 (define @t304 () (|tptp.'less_eq$'| @t30 @t71)) % 0.50/0.99 (define @t305 () (@list @t71)) % 0.50/0.99 (define @t306 () (@list @t86 @t27)) % 0.50/0.99 (define @t307 () (|tptp.'fun_app$t'| |tptp.'of_nat$a'| @t267)) % 0.50/0.99 (define @t308 () (|tptp.'fun_app$t'| |tptp.'of_nat$a'| @t296)) % 0.50/0.99 (define @t309 () (= @t268 1)) % 0.50/0.99 (define @t310 () (|tptp.'nat$'| 1)) % 0.50/0.99 (define @t311 () (< @t268 0)) % 0.50/0.99 (define @t312 () (< 0 @t268)) % 0.50/0.99 (define @t313 () (|tptp.'nat$'| 0)) % 0.50/0.99 (define @t314 () (= 0 @t268)) % 0.50/0.99 (define @t315 () (<= @t307 @t308)) % 0.50/0.99 (define @t316 () (< @t268 @t298)) % 0.50/0.99 (define @t317 () (< @t307 @t308)) % 0.50/0.99 (define @t318 () (< @t298 @t268)) % 0.50/0.99 (define @t319 () (not @t302)) % 0.50/0.99 (define @t320 () (not @t292)) % 0.50/0.99 (define @t321 () (< @t287 @t295)) % 0.50/0.99 (define @t322 () (exists @t293 (and @t321 @t320))) % 0.50/0.99 (define @t323 () (|tptp.'fun_app$s'| @t290 @t294)) % 0.50/0.99 (define @t324 () (not @t323)) % 0.50/0.99 (define @t325 () (@list @t294)) % 0.50/0.99 (define @t326 () (@list @t290 @t296)) % 0.50/0.99 (define @t327 () (< @t268 @t268)) % 0.50/0.99 (define @t328 () (@list @t267 @t12)) % 0.50/0.99 (define @t329 () (< @t5 @t6)) % 0.50/0.99 (define @t330 () (not @t329)) % 0.50/0.99 (define @t331 () (< @t1 @t2)) % 0.50/0.99 (define @t332 () (not @t331)) % 0.50/0.99 (define @t333 () (@var "A__questionmark_v2" tptp.tlbool)) % 0.50/0.99 (define @t334 () (= @t333 tptp.tltrue)) % 0.50/0.99 (define @t335 () (< @t220 @t160)) % 0.50/0.99 (define @t336 () (< @t159 @t178)) % 0.50/0.99 (define @t337 () (forall @t182 (=> @t336 (< @t223 @t222)))) % 0.50/0.99 (define @t338 () (< @t225 @t160)) % 0.50/0.99 (define @t339 () (< @t229 @t169)) % 0.50/0.99 (define @t340 () (forall @t182 (=> @t336 (< @t232 @t231)))) % 0.50/0.99 (define @t341 () (< @t234 @t169)) % 0.50/0.99 (define @t342 () (< @t238 @t160)) % 0.50/0.99 (define @t343 () (< @t168 @t191)) % 0.50/0.99 (define @t344 () (forall @t195 (=> @t343 (< @t241 @t240)))) % 0.50/0.99 (define @t345 () (< @t243 @t160)) % 0.50/0.99 (define @t346 () (< @t247 @t169)) % 0.50/0.99 (define @t347 () (forall @t195 (=> @t343 (< @t250 @t249)))) % 0.50/0.99 (define @t348 () (< @t252 @t169)) % 0.50/0.99 (define @t349 () (< @t6 @t176)) % 0.50/0.99 (define @t350 () (forall @t182 (=> @t336 (< @t180 @t179)))) % 0.50/0.99 (define @t351 () (< @t137 @t160)) % 0.50/0.99 (define @t352 () (< @t6 @t185)) % 0.50/0.99 (define @t353 () (< @t6 @t189)) % 0.50/0.99 (define @t354 () (forall @t195 (=> @t343 (< @t193 @t192)))) % 0.50/0.99 (define @t355 () (< @t144 @t169)) % 0.50/0.99 (define @t356 () (< @t6 @t198)) % 0.50/0.99 (define @t357 () (< @t2 @t202)) % 0.50/0.99 (define @t358 () (forall @t182 (=> @t336 (< @t205 @t204)))) % 0.50/0.99 (define @t359 () (< @t2 @t207)) % 0.50/0.99 (define @t360 () (< @t2 @t211)) % 0.50/0.99 (define @t361 () (forall @t195 (=> @t343 (< @t214 @t213)))) % 0.50/0.99 (define @t362 () (< @t2 @t216)) % 0.50/0.99 (define @t363 () (< @t6 @t6)) % 0.50/0.99 (define @t364 () (< @t2 @t2)) % 0.50/0.99 (define @t365 () (< @t6 @t137)) % 0.50/0.99 (define @t366 () (< @t5 @t137)) % 0.50/0.99 (define @t367 () (< @t2 @t144)) % 0.50/0.99 (define @t368 () (< @t1 @t144)) % 0.50/0.99 (define @t369 () (not @t152)) % 0.50/0.99 (define @t370 () (not @t154)) % 0.50/0.99 (define @t371 () (=> @t329 false)) % 0.50/0.99 (define @t372 () (=> @t7 false)) % 0.50/0.99 (define @t373 () (=> @t331 false)) % 0.50/0.99 (define @t374 () (=> @t3 false)) % 0.50/0.99 (define @t375 () (= @t6 1)) % 0.50/0.99 (define @t376 () (= @t2 1/1)) % 0.50/0.99 (define @t377 () (< @t137 @t5)) % 0.50/0.99 (define @t378 () (< @t137 @t6)) % 0.50/0.99 (define @t379 () (< @t144 @t1)) % 0.50/0.99 (define @t380 () (< @t144 @t2)) % 0.50/0.99 (define @t381 () (not @t7)) % 0.50/0.99 (define @t382 () (not @t3)) % 0.50/0.99 (define @t383 () (@list @t169)) % 0.50/0.99 (define @t384 () (@list @t144)) % 0.50/0.99 (define @t385 () (@list @t5)) % 0.50/0.99 (define @t386 () (@list @t1)) % 0.50/0.99 (define @t387 () (not @t129)) % 0.50/0.99 (define @t388 () (not @t134)) % 0.50/0.99 (define @t389 () (or @t7 @t152)) % 0.50/0.99 (define @t390 () (or @t3 @t154)) % 0.50/0.99 (define @t391 () (and @t130 @t369)) % 0.50/0.99 (define @t392 () (and @t135 @t370)) % 0.50/0.99 (define @t393 () (and (< @t2 @t169) (< @t169 @t1))) % 0.50/0.99 (define @t394 () (< 0 0)) % 0.50/0.99 (define @t395 () (< 0 @t295)) % 0.50/0.99 (define @t396 () (|tptp.'fun_app$s'| @t290 @t313)) % 0.50/0.99 (define @t397 () (= @t298 0)) % 0.50/0.99 (define @t398 () (and @t300 @t319)) % 0.50/0.99 (define @t399 () (or @t316 @t302)) % 0.50/0.99 (define @t400 () (@var "A__questionmark_v0" |tptp.'Nat_nat_fun$'|)) % 0.50/0.99 (define @t401 () (< @t287 @t289)) % 0.50/0.99 (define @t402 () (< 1 @t268)) % 0.50/0.99 (define @t403 () (@var "A__questionmark_v1" |tptp.'Nat_bool_fun$'|)) % 0.50/0.99 (define @t404 () (|tptp.'fun_app$s'| @t403 @t286)) % 0.50/0.99 (define @t405 () (< 0 @t298)) % 0.50/0.99 (define @t406 () (= @t6 @t298)) % 0.50/0.99 (define @t407 () (@list @t296)) % 0.50/0.99 (define @t408 () (< 0 @t6)) % 0.50/0.99 (define @t409 () (<= 0 @t6)) % 0.50/0.99 (define @t410 () (forall @t407 (=> @t406 false))) % 0.50/0.99 (define @t411 () (@var "A__questionmark_v2" |tptp.'Nat_real_fun$'|)) % 0.50/0.99 (define @t412 () (|tptp.'fun_app$t'| @t411 @t267)) % 0.50/0.99 (define @t413 () (@var "A__questionmark_v1" |tptp.'Nat_real_fun$'|)) % 0.50/0.99 (define @t414 () (|tptp.'fun_app$t'| @t413 @t286)) % 0.50/0.99 (define @t415 () (<= @t268 @t287)) % 0.50/0.99 (define @t416 () (|tptp.'fun_app$t'| @t411 @t286)) % 0.50/0.99 (define @t417 () (< 0/1 @t144)) % 0.50/0.99 (define @t418 () (< 0/1 @t1)) % 0.50/0.99 (define @t419 () (< 0/1 @t2)) % 0.50/0.99 (define @t420 () (and @t419 @t418)) % 0.50/0.99 (define @t421 () (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t15 |tptp.'zero$d'|) |tptp.'zero$d'|)) % 0.50/0.99 (define @t422 () (= (|tptp.'column$'| |tptp.'zero$d'| @t14) |tptp.'zero$'|)) % 0.50/0.99 (define @t423 () (|tptp.'reduced_row_echelon_form$'| @t14)) % 0.50/0.99 (define @t424 () (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| @t19 |tptp.'zero$d'|) |tptp.'zero$f'|)) % 0.50/0.99 (define @t425 () (= (|tptp.'column$a'| |tptp.'zero$f'| @t18) |tptp.'zero$'|)) % 0.50/0.99 (define @t426 () (|tptp.'reduced_row_echelon_form$a'| @t18)) % 0.50/0.99 (define @t427 () (<= 0/1 @t2)) % 0.50/0.99 (define @t428 () (- @t298)) % 0.50/0.99 (define @t429 () (= @t6 @t428)) % 0.50/0.99 (define @t430 () (< @t6 0)) % 0.50/0.99 (define @t431 () (- @t5)) % 0.50/0.99 (define @t432 () (- @t6)) % 0.50/0.99 (define @t433 () (= @t5 0)) % 0.50/0.99 (define @t434 () (or @t263 @t433)) % 0.50/0.99 (define @t435 () (|tptp.'times$a'| @t6)) % 0.50/0.99 (define @t436 () (|tptp.'fun_app$o'| @t435 @t5)) % 0.50/0.99 (define @t437 () (= @t436 0)) % 0.50/0.99 (define @t438 () (= @t1 0/1)) % 0.50/0.99 (define @t439 () (or @t265 @t438)) % 0.50/0.99 (define @t440 () (|tptp.'times$'| @t2)) % 0.50/0.99 (define @t441 () (|tptp.'fun_app$r'| @t440 @t1)) % 0.50/0.99 (define @t442 () (= @t441 0/1)) % 0.50/0.99 (define @t443 () (|tptp.'fun_app$o'| @t435 @t137)) % 0.50/0.99 (define @t444 () (= @t436 @t443)) % 0.50/0.99 (define @t445 () (|tptp.'fun_app$r'| @t440 @t144)) % 0.50/0.99 (define @t446 () (= @t441 @t445)) % 0.50/0.99 (define @t447 () (|tptp.'times$a'| @t137)) % 0.50/0.99 (define @t448 () (|tptp.'fun_app$o'| @t447 @t5)) % 0.50/0.99 (define @t449 () (= @t2 @t144)) % 0.50/0.99 (define @t450 () (|tptp.'times$'| @t144)) % 0.50/0.99 (define @t451 () (|tptp.'fun_app$r'| @t450 @t1)) % 0.50/0.99 (define @t452 () (= @t441 @t451)) % 0.50/0.99 (define @t453 () (- @t1)) % 0.50/0.99 (define @t454 () (- @t2)) % 0.50/0.99 (define @t455 () (- @t441)) % 0.50/0.99 (define @t456 () (|tptp.'times$a'| @t268)) % 0.50/0.99 (define @t457 () (|tptp.'fun_app$o'| @t456 @t298)) % 0.50/0.99 (define @t458 () (|tptp.'nat$'| @t457)) % 0.50/0.99 (define @t459 () (|tptp.'times$'| @t307)) % 0.50/0.99 (define @t460 () (<= @t6 0)) % 0.50/0.99 (define @t461 () (<= @t2 0/1)) % 0.50/0.99 (define @t462 () (< @t2 0/1)) % 0.50/0.99 (define @t463 () (or @t263 (= @t5 1))) % 0.50/0.99 (define @t464 () (|tptp.'times$a'| @t5)) % 0.50/0.99 (define @t465 () (|tptp.'fun_app$o'| @t464 @t6)) % 0.50/0.99 (define @t466 () (or @t265 (= @t1 1/1))) % 0.50/0.99 (define @t467 () (|tptp.'times$'| @t1)) % 0.50/0.99 (define @t468 () (|tptp.'fun_app$r'| @t467 @t2)) % 0.50/0.99 (define @t469 () (- 1/1)) % 0.50/0.99 (define @t470 () (- 1)) % 0.50/0.99 (define @t471 () (- @t268)) % 0.50/0.99 (define @t472 () (< 0 @t436)) % 0.50/0.99 (define @t473 () (< @t5 0)) % 0.50/0.99 (define @t474 () (and @t430 @t473)) % 0.50/0.99 (define @t475 () (< 0/1 @t441)) % 0.50/0.99 (define @t476 () (< @t1 0/1)) % 0.50/0.99 (define @t477 () (and @t462 @t476)) % 0.50/0.99 (define @t478 () (|tptp.'fun_app$o'| @t435 @t6)) % 0.50/0.99 (define @t479 () (|tptp.'fun_app$r'| @t440 @t2)) % 0.50/0.99 (define @t480 () (< 0 @t5)) % 0.50/0.99 (define @t481 () (and @t430 @t480)) % 0.50/0.99 (define @t482 () (and @t408 @t473)) % 0.50/0.99 (define @t483 () (< @t436 0)) % 0.50/0.99 (define @t484 () (and @t462 @t418)) % 0.50/0.99 (define @t485 () (and @t419 @t476)) % 0.50/0.99 (define @t486 () (< @t441 0/1)) % 0.50/0.99 (define @t487 () (and @t408 @t480)) % 0.50/0.99 (define @t488 () (< @t436 @t443)) % 0.50/0.99 (define @t489 () (< @t441 @t445)) % 0.50/0.99 (define @t490 () (|tptp.'fun_app$o'| @t447 @t6)) % 0.50/0.99 (define @t491 () (and @t7 (< @t137 0))) % 0.50/0.99 (define @t492 () (|tptp.'fun_app$r'| @t450 @t2)) % 0.50/0.99 (define @t493 () (and @t3 (< @t144 0/1))) % 0.50/0.99 (define @t494 () (and @t7 (< 0 @t137))) % 0.50/0.99 (define @t495 () (and @t3 @t417)) % 0.50/0.99 (define @t496 () (|tptp.'fun_app$o'| @t464 @t137)) % 0.50/0.99 (define @t497 () (|tptp.'fun_app$r'| @t467 @t144)) % 0.50/0.99 (define @t498 () (not @t263)) % 0.50/0.99 (define @t499 () (and @t498 (not @t433))) % 0.50/0.99 (define @t500 () (not @t437)) % 0.50/0.99 (define @t501 () (not @t265)) % 0.50/0.99 (define @t502 () (and @t501 (not @t438))) % 0.50/0.99 (define @t503 () (not @t442)) % 0.50/0.99 (define @t504 () (= @t468 @t492)) % 0.50/0.99 (define @t505 () (|tptp.'fun_app$r'| @t440 @t497)) % 0.50/0.99 (define @t506 () (|tptp.'fun_app$r'| (|tptp.'times$'| @t441) @t144)) % 0.50/0.99 (define @t507 () (|tptp.'of_nat$'| (|tptp.'nat$'| @t6))) % 0.50/0.99 (define @t508 () (@var "B" tptp.tlbool)) % 0.50/0.99 (assume @p1 (forall @t4 (= (|tptp.'fun_app$'| (|tptp.'fun_app$a'| |tptp.'uua$'| @t2) @t1) @t3))) % 0.50/0.99 (assume @p2 (forall @t8 (= (|tptp.'fun_app$b'| (|tptp.'fun_app$c'| |tptp.'uu$'| @t6) @t5) @t7))) % 0.50/0.99 (assume @p3 (not @t11)) % 0.50/0.99 (assume @p4 (= (|tptp.'vector_matrix_mult$'| (|tptp.'row$'| |tptp.'i$'| @t9) |tptp.'a$'|) @t10)) % 0.50/0.99 (assume @p5 (forall (@list @t14 @t12 @t13) (= (|tptp.'vector_matrix_mult$a'| @t16 @t13) (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'matrix_matrix_mult$a'| @t14 @t13)) @t12)))) % 0.50/0.99 (assume @p6 (forall (@list @t18 @t12 @t17) (= (|tptp.'vector_matrix_mult$b'| @t20 @t17) (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'matrix_matrix_mult$b'| @t18 @t17)) @t12)))) % 0.50/0.99 (assume @p7 (forall (@list @t18 @t12 @t21) (= (|tptp.'vector_matrix_mult$c'| @t20 @t21) (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'matrix_matrix_mult$c'| @t18 @t21)) @t12)))) % 0.50/0.99 (assume @p8 @t23) % 0.50/0.99 (assume @p9 (forall (@list @t26 @t24 @t21) (= (|tptp.'vector_matrix_mult$c'| (|tptp.'vector_matrix_mult$'| @t26 @t24) @t21) (|tptp.'vector_matrix_mult$'| @t26 @t25)))) % 0.50/0.99 (assume @p10 (forall (@list @t26 @t27 @t22) (= (|tptp.'vector_matrix_mult$'| (|tptp.'vector_matrix_mult$a'| @t26 @t27) @t22) (|tptp.'vector_matrix_mult$'| @t26 @t28)))) % 0.50/0.99 (assume @p11 (forall (@list @t34 @t27 @t30 @t29) (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'map_matrix$'| @t34 @t27)) @t30) @t29) (|tptp.'fun_app$f'| @t34 @t33)))) % 0.50/0.99 (assume @p12 (forall (@list @t36 @t35 @t30 @t29) (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'map_matrix$a'| @t36 @t35)) @t30) @t29) (|tptp.'fun_app$g'| @t36 (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$c'| @t35 @t30)) @t29))))) % 0.50/0.99 (assume @p13 (forall (@list @t38 @t37 @t30 @t29) (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'map_matrix$b'| @t38 @t37)) @t30) @t29) (|tptp.'fun_app$h'| @t38 (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'vec_nth$d'| @t37 @t30)) @t29))))) % 0.50/0.99 (assume @p14 (forall (@list @t34 @t24 @t30 @t39) (= (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'map_matrix$c'| @t34 @t24)) @t30) @t39) (|tptp.'fun_app$f'| @t34 (|tptp.'vec_nth$e'| @t41 @t39))))) % 0.50/0.99 (assume @p15 (forall (@list @t42 @t27 @t30 @t29) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$c'| (|tptp.'map_matrix$d'| @t42 @t27) @t30)) @t29) (|tptp.'fun_app$i'| @t42 @t33)))) % 0.50/0.99 (assume @p16 (forall (@list @t43 @t27 @t30 @t29) (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'vec_nth$d'| (|tptp.'map_matrix$e'| @t43 @t27) @t30)) @t29) (|tptp.'fun_app$j'| @t43 @t33)))) % 0.50/0.99 (assume @p17 (forall (@list @t14 @t24 @t21) (= (|tptp.'matrix_matrix_mult$'| @t14 @t25) (|tptp.'matrix_matrix_mult$c'| @t44 @t21)))) % 0.50/0.99 (assume @p18 (forall (@list @t14 @t27 @t22) (= (|tptp.'matrix_matrix_mult$'| @t14 @t28) (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_matrix_mult$a'| @t14 @t27) @t22)))) % 0.50/0.99 (assume @p19 (forall @t46 (= (= @t15 @t31) @t45))) % 0.50/0.99 (assume @p20 (forall @t48 (= (= @t19 @t40) @t47))) % 0.50/0.99 (assume @p21 (forall (@list @t49) (= (forall @t52 (exists (@list @t51) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| @t49 @t12) @t51))) (exists (@list @t27) (forall @t50 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| @t49 @t30) @t32)))))) % 0.50/0.99 (assume @p22 (forall (@list @t53) (= (forall @t52 (exists (@list @t54) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| @t53 @t12) @t54))) (exists (@list @t24) (forall @t50 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| @t53 @t30) @t41)))))) % 0.50/0.99 (assume @p23 (forall @t46 (= @t45 (forall @t50 (= @t55 @t32))))) % 0.50/0.99 (assume @p24 (forall @t48 (= @t47 (forall @t50 (= @t56 @t41))))) % 0.50/0.99 (assume @p25 (forall (@list @t58 @t27 @t13 @t29) (and (=> @t59 (and (=> @t59 (= @t61 @t61)) (=> @t60 (= @t61 @t57)))) (=> @t60 (and (=> @t59 (= @t57 @t61)) (=> @t60 (= @t57 @t57))))))) % 0.50/0.99 (assume @p26 (forall (@list @t58 @t24 @t22 @t29) (and (=> @t59 (and (=> @t59 (= @t63 @t63)) (=> @t60 (= @t63 @t62)))) (=> @t60 (and (=> @t59 (= @t62 @t63)) (=> @t60 (= @t62 @t62))))))) % 0.50/0.99 (assume @p27 (forall @t64 (= (|tptp.'vec_nth$a'| @t44) (|tptp.'mat_mult_row$'| @t14 @t24)))) % 0.50/0.99 (assume @p28 (forall @t66 (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t65 @t12) @t30) (|tptp.'vec_nth$b'| @t55 @t12)))) % 0.50/0.99 (assume @p29 (forall @t68 (= (|tptp.'vec_nth$b'| (|tptp.'transpose_row$a'| @t18 @t67) @t30) (|tptp.'vec_nth$e'| @t56 @t67)))) % 0.50/0.99 (assume @p30 (forall (@list @t69 @t12 @t30) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'transpose_row$b'| @t69 @t12)) @t30) (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$c'| @t69 @t30)) @t12)))) % 0.50/0.99 (assume @p31 (forall (@list @t70 @t12 @t30) (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'transpose_row$c'| @t70 @t12)) @t30) (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'vec_nth$d'| @t70 @t30)) @t12)))) % 0.50/0.99 (assume @p32 (forall @t80 (and (=> @t78 (= @t75 (|tptp.'vec_nth$b'| @t55 @t71))) (=> @t79 (and (=> @t76 (= @t75 (|tptp.'vec_nth$b'| @t16 @t71))) (=> @t77 (= @t75 @t73))))))) % 0.50/0.99 (assume @p33 (forall (@list @t18 @t12 @t30 @t29 @t81) (and (=> @t78 (= @t85 (|tptp.'vec_nth$e'| @t56 @t81))) (=> @t79 (and (=> @t76 (= @t85 (|tptp.'vec_nth$e'| @t20 @t81))) (=> @t77 (= @t85 @t83))))))) % 0.50/0.99 (assume @p34 (forall (@list @t86 @t27 @t13) (= (|tptp.'vector_matrix_mult$a'| @t87 @t13) (|tptp.'row$'| @t86 (|tptp.'matrix_matrix_mult$a'| @t27 @t13))))) % 0.50/0.99 (assume @p35 (forall (@list @t86 @t27 @t22) (= (|tptp.'vector_matrix_mult$'| @t87 @t22) (|tptp.'row$a'| @t86 @t28)))) % 0.50/0.99 (assume @p36 (forall @t80 (and (=> @t92 (= @t89 (|tptp.'vec_nth$b'| @t72 @t30))) (=> (not @t92) (and (=> @t90 (= @t89 @t91)) (=> (not @t90) (= @t89 @t73))))))) % 0.50/0.99 (assume @p37 (forall (@list @t18 @t67 @t93 @t29 @t81) (and (=> @t98 (= @t95 (|tptp.'vec_nth$e'| @t82 @t93))) (=> (not @t98) (and (=> @t96 (= @t95 @t97)) (=> (not @t96) (= @t95 @t83))))))) % 0.50/0.99 (assume @p38 (forall @t66 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'columnvector_row$'| @t14 @t12)) @t30) @t16))) % 0.50/0.99 (assume @p39 (forall @t99 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'columnvector_row$a'| @t18 @t12)) @t30) @t20))) % 0.50/0.99 (assume @p40 (forall @t66 (= @t100 @t74))) % 0.50/0.99 (assume @p41 (forall @t99 (= @t101 @t84))) % 0.50/0.99 (assume @p42 (forall @t103 (= (|tptp.'vec_nth$'| @t102) @t65))) % 0.50/0.99 (assume @p43 (forall @t106 (= (|tptp.'vec_nth$a'| @t105) (|tptp.'transpose_row$d'| @t104)))) % 0.50/0.99 (assume @p44 (<= (|tptp.'of_nat$'| (|tptp.'rank$'| |tptp.'a$'|)) (|tptp.'of_nat$'| (|tptp.'to_nat$'| |tptp.'i$'|)))) % 0.50/0.99 (assume @p45 (forall (@list @t86 @t107) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'axis$'| @t86 @t107)) @t86) @t107))) % 0.50/0.99 (assume @p46 (forall (@list @t86 @t108) (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'axis$a'| @t86 @t108)) @t86) @t108))) % 0.50/0.99 (assume @p47 (forall @t66 (= (|tptp.'fun_app$d'| @t100 @t30) @t16))) % 0.50/0.99 (assume @p48 (forall @t99 (= (|tptp.'fun_app$e'| @t101 @t30) @t20))) % 0.50/0.99 (assume @p49 (forall @t66 (= (|tptp.'fun_app$d'| @t100 @t12) @t55))) % 0.50/0.99 (assume @p50 (forall @t99 (= (|tptp.'fun_app$e'| @t101 @t12) @t56))) % 0.50/0.99 (assume @p51 (forall @t109 (= (|tptp.'vector_matrix_mult$'| |tptp.'zero$'| @t18) |tptp.'zero$a'|))) % 0.50/0.99 (assume @p52 (forall (@list @t26 @t12) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'vec$'| @t26)) @t12) @t26))) % 0.50/0.99 (assume @p53 (forall (@list @t110 @t12) (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'vec$a'| @t110)) @t12) @t110))) % 0.50/0.99 (assume @p54 (forall @t109 (= (|tptp.'matrix_matrix_mult$'| |tptp.'zero$b'| @t18) |tptp.'zero$c'|))) % 0.50/0.99 (assume @p55 (forall @t103 (= (|tptp.'matrix_matrix_mult$'| @t14 |tptp.'zero$c'|) |tptp.'zero$c'|))) % 0.50/0.99 (assume @p56 (forall (@list @t26) (= (|tptp.'vector_matrix_mult$'| @t26 |tptp.'zero$c'|) |tptp.'zero$a'|))) % 0.50/0.99 (assume @p57 (forall @t111 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| |tptp.'zero$b'|) @t86) |tptp.'zero$'|))) % 0.50/0.99 (assume @p58 (forall @t111 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| |tptp.'zero$c'|) @t86) |tptp.'zero$a'|))) % 0.50/0.99 (assume @p59 (forall (@list @t104 @t27) (= (|tptp.'transpose$a'| (|tptp.'matrix_matrix_mult$d'| @t104 @t27)) (|tptp.'matrix_matrix_mult$'| @t112 @t105)))) % 0.50/0.99 (assume @p60 (forall @t64 (= (|tptp.'transpose$b'| @t44) (|tptp.'matrix_matrix_mult$d'| (|tptp.'transpose$b'| @t24) @t102)))) % 0.50/0.99 (assume @p61 (forall (@list @t86 @t12 @t30 @t113) (=> @t115 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'interchange_rows$'| @t113 @t86 @t30)) @t12) (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| @t113) @t12))))) % 0.50/0.99 (assume @p62 (forall (@list @t86 @t12 @t30 @t116) (=> @t115 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'interchange_rows$a'| @t116 @t86 @t30)) @t12) (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| @t116) @t12))))) % 0.50/0.99 (assume @p63 (forall @t119 (=> (|tptp.'less_eq$'| @t86 @t12) (<= @t118 @t117)))) % 0.50/0.99 (assume @p64 (forall @t119 (= (= @t118 @t117) @t114))) % 0.50/0.99 (assume @p65 (forall (@list @t26 @t12 @t30) (and (=> @t121 (= @t120 @t26)) (=> @t122 (= @t120 |tptp.'zero$'|))))) % 0.50/0.99 (assume @p66 (forall (@list @t110 @t12 @t30) (and (=> @t121 (= @t123 @t110)) (=> @t122 (= @t123 |tptp.'zero$a'|))))) % 0.50/0.99 (assume @p67 (forall @t124 (<= @t6 @t6))) % 0.50/0.99 (assume @p68 (forall @t125 (<= @t2 @t2))) % 0.50/0.99 (assume @p69 (forall @t109 (= (|tptp.'of_nat$'| (|tptp.'rank$a'| (|tptp.'transpose$b'| @t18))) @t126))) % 0.50/0.99 (assume @p70 (forall @t106 (= (|tptp.'of_nat$'| (|tptp.'rank$'| @t105)) (|tptp.'of_nat$'| (|tptp.'rank$a'| @t104))))) % 0.50/0.99 (assume @p71 (forall @t111 (= (= @t118 0) (= @t86 |tptp.'zero$d'|)))) % 0.50/0.99 (assume @p72 (= (|tptp.'of_nat$'| (|tptp.'rank$'| |tptp.'zero$c'|)) 0)) % 0.50/0.99 (assume @p73 (forall @t8 (= @t131 (and @t129 @t128)))) % 0.50/0.99 (assume @p74 (forall @t4 (= @t136 (and @t134 @t133)))) % 0.50/0.99 (assume @p75 (forall @t143 (=> (and (=> @t142 false) (=> (and @t129 @t141) false) (=> (and @t141 @t140) false) (=> (and @t140 @t129) false) (=> (and @t139 @t138) false) (=> (and @t138 @t130) false)) false))) % 0.50/0.99 (assume @p76 (forall @t150 (=> (and (=> @t149 false) (=> (and @t134 @t148) false) (=> (and @t148 @t147) false) (=> (and @t147 @t134) false) (=> (and @t146 @t145) false) (=> (and @t145 @t135) false)) false))) % 0.50/0.99 (assume @p77 (forall @t8 (= @t152 @t151))) % 0.50/0.99 (assume @p78 (forall @t4 (= @t154 @t153))) % 0.50/0.99 (assume @p79 (forall @t143 (=> (and @t152 @t139) @t141))) % 0.50/0.99 (assume @p80 (forall @t150 (=> (and @t154 @t146) @t148))) % 0.50/0.99 (assume @p81 (forall @t143 (=> (and @t130 @t155) @t141))) % 0.50/0.99 (assume @p82 (forall @t150 (=> (and @t135 @t156) @t148))) % 0.50/0.99 (assume @p83 (forall @t8 (=> @t151 @t152))) % 0.50/0.99 (assume @p84 (forall @t4 (=> @t153 @t154))) % 0.50/0.99 (assume @p85 (forall @t143 (=> @t142 @t141))) % 0.50/0.99 (assume @p86 (forall @t150 (=> @t149 @t148))) % 0.50/0.99 (assume @p87 (forall @t165 (=> (and (forall @t163 (=> (<= @t160 @t159) @t162)) @t164) @t158))) % 0.50/0.99 (assume @p88 (forall @t174 (=> (and (forall @t172 (=> (<= @t169 @t168) @t171)) @t173) @t167))) % 0.50/0.99 (assume @p89 (forall @t8 (= @t152 (and @t129 @t130)))) % 0.50/0.99 (assume @p90 (forall @t4 (= @t154 (and @t134 @t135)))) % 0.50/0.99 (assume @p91 (forall @t8 (=> @t151 @t127))) % 0.50/0.99 (assume @p92 (forall @t4 (=> @t153 @t132))) % 0.50/0.99 (assume @p93 (forall @t143 (=> (and @t130 @t138) @t140))) % 0.50/0.99 (assume @p94 (forall @t150 (=> (and @t135 @t145) @t147))) % 0.50/0.99 (assume @p95 (forall @t187 (=> (and @t186 @t184 @t183) @t177))) % 0.50/0.99 (assume @p96 (forall @t200 (=> (and @t199 @t197 @t196) @t190))) % 0.50/0.99 (assume @p97 (forall @t209 (=> (and @t208 @t184 @t206) @t203))) % 0.50/0.99 (assume @p98 (forall @t218 (=> (and @t217 @t197 @t215) @t212))) % 0.50/0.99 (assume @p99 (forall @t227 (=> (and @t130 @t226 @t224) @t221))) % 0.50/0.99 (assume @p100 (forall @t236 (=> (and @t130 @t235 @t233) @t230))) % 0.50/0.99 (assume @p101 (forall @t245 (=> (and @t135 @t244 @t242) @t239))) % 0.50/0.99 (assume @p102 (forall @t254 (=> (and @t135 @t253 @t251) @t248))) % 0.50/0.99 (assume @p103 (forall @t8 (=> @t152 @t130))) % 0.50/0.99 (assume @p104 (forall @t4 (=> @t154 @t135))) % 0.50/0.99 (assume @p105 (forall @t8 (or @t130 @t129))) % 0.50/0.99 (assume @p106 (forall @t4 (or @t135 @t134))) % 0.50/0.99 (assume @p107 (forall @t187 (=> (and @t255 @t184 @t183) @t177))) % 0.50/0.99 (assume @p108 (forall @t209 (=> (and @t256 @t184 @t206) @t203))) % 0.50/0.99 (assume @p109 (forall @t200 (=> (and @t257 @t197 @t196) @t190))) % 0.50/0.99 (assume @p110 (forall @t218 (=> (and @t258 @t197 @t215) @t212))) % 0.50/0.99 (assume @p111 (forall @t227 (=> (and @t130 @t259 @t224) @t221))) % 0.50/0.99 (assume @p112 (forall @t236 (=> (and @t130 @t260 @t233) @t230))) % 0.50/0.99 (assume @p113 (forall @t245 (=> (and @t135 @t261 @t242) @t239))) % 0.50/0.99 (assume @p114 (forall @t254 (=> (and @t135 @t262 @t251) @t248))) % 0.50/0.99 (assume @p115 (forall @t8 (=> (and (=> @t130 false) (=> @t129 false)) false))) % 0.50/0.99 (assume @p116 (forall @t4 (=> (and (=> @t135 false) (=> @t134 false)) false))) % 0.50/0.99 (assume @p117 (forall @t8 (=> @t130 (= @t129 @t127)))) % 0.50/0.99 (assume @p118 (forall @t4 (=> @t135 (= @t134 @t132)))) % 0.50/0.99 (assume @p119 (forall @t124 (= @t264 @t263))) % 0.50/0.99 (assume @p120 (forall @t125 (= @t266 @t265))) % 0.50/0.99 (assume @p121 (= (|tptp.'of_nat$'| (|tptp.'to_nat$'| |tptp.'zero$d'|)) 0)) % 0.50/0.99 (assume @p122 (forall @t270 @t269)) % 0.50/0.99 (assume @p123 (forall @t271 (=> (<= (|tptp.'of_nat$'| (|tptp.'rank$b'| @t14)) @t117) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'gauss_Jordan$'| @t14)) @t12) |tptp.'zero$'|)))) % 0.50/0.99 (assume @p124 (forall @t273 (=> (<= @t126 @t117) (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| @t272) @t12) |tptp.'zero$a'|)))) % 0.50/0.99 (assume @p125 (forall @t270 (= @t269 true))) % 0.50/0.99 (assume @p126 (forall @t270 (= @t275 @t274))) % 0.50/0.99 (assume @p127 (forall @t270 (=> @t275 @t274))) % 0.50/0.99 (assume @p128 (<= 0 0)) % 0.50/0.99 (assume @p129 (<= 0/1 0/1)) % 0.50/0.99 (assume @p130 (forall @t66 (= (|tptp.'vec_nth$'| (|tptp.'interchange_columns$'| @t14 @t12 @t30)) @t88))) % 0.50/0.99 (assume @p131 (forall (@list @t18 @t67 @t93) (= (|tptp.'vec_nth$a'| (|tptp.'interchange_columns$a'| @t18 @t67 @t93)) @t94))) % 0.50/0.99 (assume @p132 (forall @t66 (=> @t280 (forall @t278 (=> @t77 @t277))))) % 0.50/0.99 (assume @p133 (forall @t68 (=> @t283 (forall @t278 (=> @t77 @t282))))) % 0.50/0.99 (assume @p134 (forall @t109 (= @t126 (|tptp.'of_nat$'| (|tptp.'rank$'| @t272))))) % 0.50/0.99 (assume @p135 (forall @t270 (=> (and @t285 (=> @t284 false)) false))) % 0.50/0.99 (assume @p136 (forall (@list @t290 @t296 @t294) (=> (and @t297 (forall @t293 (=> @t292 (<= @t287 @t295)))) (exists @t293 (and @t292 (forall @t291 (=> (|tptp.'fun_app$s'| @t290 @t288) (<= @t289 @t287)))))))) % 0.50/0.99 (assume @p137 (forall @t301 (or @t300 @t299))) % 0.50/0.99 (assume @p138 (forall @t301 (=> (and @t300 @t299) @t302))) % 0.50/0.99 (assume @p139 (forall @t301 (=> @t302 @t300))) % 0.50/0.99 (assume @p140 (forall (@list @t267 @t296 @t294) (=> (and @t300 @t303) (<= @t268 @t295)))) % 0.50/0.99 (assume @p141 (forall @t270 (<= @t268 @t268))) % 0.50/0.99 (assume @p142 (forall (@list @t14 @t12 @t30 @t29) (=> (and (exists @t305 (and (not (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t15 @t71) @t12) |tptp.'zero$e'|)) @t304)) @t77) @t277))) % 0.50/0.99 (assume @p143 (forall (@list @t18 @t67 @t30 @t29) (=> (and (exists @t305 (and (not (= (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| @t19 @t71) @t67) |tptp.'zero$e'|)) @t304)) @t77) @t282))) % 0.50/0.99 (assume @p144 (forall @t66 (=> @t280 (= (|tptp.'vec_nth$b'| (|tptp.'fun_app$d'| @t276 @t30) @t12) |tptp.'one$'|)))) % 0.50/0.99 (assume @p145 (forall @t68 (=> @t283 (= (|tptp.'vec_nth$e'| (|tptp.'fun_app$e'| @t281 @t30) @t67) |tptp.'one$'|)))) % 0.50/0.99 (assume @p146 (forall @t306 (= (|tptp.'column$'| @t86 @t112) @t87))) % 0.50/0.99 (assume @p147 (forall @t306 (= (|tptp.'row$'| @t86 @t112) (|tptp.'column$'| @t86 @t27)))) % 0.50/0.99 (assume @p148 (forall @t109 (=> (not (= @t18 |tptp.'zero$c'|)) (< 0 @t126)))) % 0.50/0.99 (assume @p149 (forall @t270 (= (<= @t307 0/1) @t274))) % 0.50/0.99 (assume @p150 (forall @t301 (= @t302 @t302))) % 0.50/0.99 (assume @p151 (forall @t301 (= (= @t307 @t308) @t302))) % 0.50/0.99 (assume @p152 (forall @t111 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| |tptp.'one$a'|) @t86) |tptp.'one$b'|))) % 0.50/0.99 (assume @p153 (forall @t111 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| |tptp.'one$c'|) @t86) |tptp.'one$d'|))) % 0.50/0.99 (assume @p154 (forall @t270 (= @t309 @t309))) % 0.50/0.99 (assume @p155 (forall @t270 (= (= @t307 1/1) @t309))) % 0.50/0.99 (assume @p156 (forall @t270 (= (= 1 @t268) @t309))) % 0.50/0.99 (assume @p157 (forall @t270 (= (= 1/1 @t307) @t309))) % 0.50/0.99 (assume @p158 (= (|tptp.'of_nat$'| @t310) 1)) % 0.50/0.99 (assume @p159 (= (|tptp.'fun_app$t'| |tptp.'of_nat$a'| @t310) 1/1)) % 0.50/0.99 (assume @p160 (forall @t270 (= (< @t268 1) @t274))) % 0.50/0.99 (assume @p161 (forall @t270 (= @t311 false))) % 0.50/0.99 (assume @p162 (forall @t270 (= @t284 @t312))) % 0.50/0.99 (assume @p163 (= (|tptp.'of_nat$'| @t313) 0)) % 0.50/0.99 (assume @p164 (= (|tptp.'fun_app$t'| |tptp.'of_nat$a'| @t313) 0/1)) % 0.50/0.99 (assume @p165 (forall @t270 (= @t314 @t314))) % 0.50/0.99 (assume @p166 (forall @t270 (= (= 0/1 @t307) @t314))) % 0.50/0.99 (assume @p167 (forall @t270 (= @t274 @t274))) % 0.50/0.99 (assume @p168 (forall @t270 (= (= @t307 0/1) @t274))) % 0.50/0.99 (assume @p169 (forall @t301 (= @t300 @t300))) % 0.50/0.99 (assume @p170 (forall @t301 (= @t315 @t300))) % 0.50/0.99 (assume @p171 (forall @t301 (= @t316 @t316))) % 0.50/0.99 (assume @p172 (forall @t301 (= @t317 @t316))) % 0.50/0.99 (assume @p173 (forall @t270 (= @t312 @t312))) % 0.50/0.99 (assume @p174 (forall @t270 (= (< 0/1 @t307) @t312))) % 0.50/0.99 (assume @p175 (forall @t270 (not @t311))) % 0.50/0.99 (assume @p176 (forall @t270 (not (< @t307 0/1)))) % 0.50/0.99 (assume @p177 (< 0 1)) % 0.50/0.99 (assume @p178 (< 0/1 1/1)) % 0.50/0.99 (assume @p179 (forall @t301 (=> (and @t319 (=> @t316 false) (=> @t318 false)) false))) % 0.50/0.99 (assume @p180 (forall @t326 (=> (forall @t325 (=> @t324 @t322)) @t297))) % 0.50/0.99 (assume @p181 (forall @t326 (=> (forall @t325 (=> (forall @t293 (=> @t321 @t292)) @t323)) @t297))) % 0.50/0.99 (assume @p182 (forall @t270 (=> @t327 false))) % 0.50/0.99 (assume @p183 (forall @t301 (=> @t316 @t319))) % 0.50/0.99 (assume @p184 (forall @t301 (=> @t316 (not (= @t298 @t268))))) % 0.50/0.99 (assume @p185 (forall @t270 (not @t327))) % 0.50/0.99 (assume @p186 (forall @t301 (= @t319 (or @t316 @t318)))) % 0.50/0.99 (assume @p187 (forall @t301 (=> @t316 @t316))) % 0.50/0.99 (assume @p188 (forall @t301 (=> @t317 @t316))) % 0.50/0.99 (assume @p189 (forall @t301 (=> @t316 @t317))) % 0.50/0.99 (assume @p190 (not (< 1 1))) % 0.50/0.99 (assume @p191 (not (< 1/1 1/1))) % 0.50/0.99 (assume @p192 (forall @t119 (=> (|tptp.'less$'| @t86 @t12) (< @t118 @t117)))) % 0.50/0.99 (assume @p193 (= (|tptp.'of_nat$'| (|tptp.'to_nat$'| |tptp.'one$e'|)) 1)) % 0.50/0.99 (assume @p194 (forall @t328 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'of_nat$b'| @t267)) @t12) (|tptp.'of_nat$c'| @t267)))) % 0.50/0.99 (assume @p195 (forall @t328 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'of_nat$d'| @t267)) @t12) (|tptp.'of_nat$e'| @t267)))) % 0.50/0.99 (assume @p196 (forall @t8 (=> @t7 (= @t330 true)))) % 0.50/0.99 (assume @p197 (forall @t4 (=> @t3 (= @t332 true)))) % 0.50/0.99 (assume @p198 (forall @t8 (=> @t7 (= @t127 false)))) % 0.50/0.99 (assume @p199 (forall @t4 (=> @t3 (= @t132 false)))) % 0.50/0.99 (assume @p200 (forall @t8 (=> @t7 (= @t152 false)))) % 0.50/0.99 (assume @p201 (forall @t4 (=> @t3 (= @t154 false)))) % 0.50/0.99 (assume @p202 (forall @t8 (or @t7 @t152 @t329))) % 0.50/0.99 (assume @p203 (forall @t4 (or @t3 @t154 @t331))) % 0.50/0.99 (assume @p204 (forall (@list @t6 @t5 @t333) (=> @t7 (= (=> @t329 @t334) true)))) % 0.50/0.99 (assume @p205 (forall (@list @t2 @t1 @t333) (=> @t3 (= (=> @t331 @t334) true)))) % 0.50/0.99 (assume @p206 (forall @t8 (=> @t7 @t330))) % 0.50/0.99 (assume @p207 (forall @t4 (=> @t3 @t332))) % 0.50/0.99 (assume @p208 (forall @t227 (=> (and @t7 @t338 @t337) @t335))) % 0.50/0.99 (assume @p209 (forall @t236 (=> (and @t7 @t341 @t340) @t339))) % 0.50/0.99 (assume @p210 (forall @t245 (=> (and @t3 @t345 @t344) @t342))) % 0.50/0.99 (assume @p211 (forall @t254 (=> (and @t3 @t348 @t347) @t346))) % 0.50/0.99 (assume @p212 (forall @t187 (=> (and @t352 @t351 @t350) @t349))) % 0.50/0.99 (assume @p213 (forall @t200 (=> (and @t356 @t355 @t354) @t353))) % 0.50/0.99 (assume @p214 (forall @t209 (=> (and @t359 @t351 @t358) @t357))) % 0.50/0.99 (assume @p215 (forall @t218 (=> (and @t362 @t355 @t361) @t360))) % 0.50/0.99 (assume @p216 (forall @t124 (not @t363))) % 0.50/0.99 (assume @p217 (forall @t125 (not @t364))) % 0.50/0.99 (assume @p218 (forall @t227 (=> (and @t7 @t259 @t337) @t335))) % 0.50/0.99 (assume @p219 (forall @t236 (=> (and @t7 @t260 @t340) @t339))) % 0.50/0.99 (assume @p220 (forall @t245 (=> (and @t3 @t261 @t344) @t342))) % 0.50/0.99 (assume @p221 (forall @t254 (=> (and @t3 @t262 @t347) @t346))) % 0.50/0.99 (assume @p222 (forall @t187 (=> (and @t255 @t351 @t350) @t349))) % 0.50/0.99 (assume @p223 (forall @t209 (=> (and @t256 @t351 @t358) @t357))) % 0.50/0.99 (assume @p224 (forall @t200 (=> (and @t257 @t355 @t354) @t353))) % 0.50/0.99 (assume @p225 (forall @t218 (=> (and @t258 @t355 @t361) @t360))) % 0.50/0.99 (assume @p226 (forall @t143 (=> (and @t7 @t366) @t365))) % 0.50/0.99 (assume @p227 (forall @t150 (=> (and @t3 @t368) @t367))) % 0.50/0.99 (assume @p228 (forall @t8 (=> (and @t7 @t329) false))) % 0.50/0.99 (assume @p229 (forall @t4 (=> (and @t3 @t331) false))) % 0.50/0.99 (assume @p230 (forall @t8 (= @t369 (or @t7 @t329)))) % 0.50/0.99 (assume @p231 (forall @t4 (= @t370 (or @t3 @t331)))) % 0.50/0.99 (assume @p232 (forall @t8 (=> (and @t369 @t372 @t371) false))) % 0.50/0.99 (assume @p233 (forall @t4 (=> (and @t370 @t374 @t373) false))) % 0.50/0.99 (assume @p234 (forall @t124 (= (= 1 @t6) @t375))) % 0.50/0.99 (assume @p235 (forall @t125 (= (= 1/1 @t2) @t376))) % 0.50/0.99 (assume @p236 (forall @t8 (=> @t7 @t128))) % 0.50/0.99 (assume @p237 (forall @t4 (=> @t3 @t133))) % 0.50/0.99 (assume @p238 (forall @t8 (=> @t7 @t369))) % 0.50/0.99 (assume @p239 (forall @t4 (=> @t3 @t370))) % 0.50/0.99 (assume @p240 (forall @t143 (=> (and @t7 @t378) @t377))) % 0.50/0.99 (assume @p241 (forall @t150 (=> (and @t3 @t380) @t379))) % 0.50/0.99 (assume @p242 (forall @t8 (= @t381 (or @t329 @t152)))) % 0.50/0.99 (assume @p243 (forall @t4 (= @t382 (or @t331 @t154)))) % 0.50/0.99 (assume @p244 (forall @t165 (=> (and (forall @t163 (=> (< @t160 @t159) @t162)) (forall (@list @t160) (|tptp.'fun_app$b'| @t161 @t160)) @t164) @t158))) % 0.50/0.99 (assume @p245 (forall @t174 (=> (and (forall @t172 (=> (< @t169 @t168) @t171)) (forall @t383 (|tptp.'fun_app$'| @t170 @t169)) @t173) @t167))) % 0.50/0.99 (assume @p246 (forall @t8 (=> (and @t372 (=> @t152 false) @t371) false))) % 0.50/0.99 (assume @p247 (forall @t4 (=> (and @t374 (=> @t154 false) @t373) false))) % 0.50/0.99 (assume @p248 (forall @t8 (=> @t381 (= @t330 @t127)))) % 0.50/0.99 (assume @p249 (forall @t4 (=> @t382 (= @t332 @t132)))) % 0.50/0.99 (assume @p250 (forall @t143 (=> (and @t7 @t155) @t365))) % 0.50/0.99 (assume @p251 (forall @t150 (=> (and @t3 @t156) @t367))) % 0.50/0.99 (assume @p252 (forall @t143 (=> (and @t152 @t366) @t365))) % 0.50/0.99 (assume @p253 (forall @t150 (=> (and @t154 @t368) @t367))) % 0.50/0.99 (assume @p254 (forall @t4 (=> @t3 (exists @t384 (and @t367 @t379))))) % 0.50/0.99 (assume @p255 (forall @t124 (exists @t385 @t7))) % 0.50/0.99 (assume @p256 (forall @t125 (exists @t386 @t3))) % 0.50/0.99 (assume @p257 (forall @t124 (exists @t385 @t329))) % 0.50/0.99 (assume @p258 (forall @t125 (exists @t386 @t331))) % 0.50/0.99 (assume @p259 (forall @t8 (=> @t130 @t330))) % 0.50/0.99 (assume @p260 (forall @t4 (=> @t135 @t332))) % 0.50/0.99 (assume @p261 (forall @t8 (=> @t381 @t129))) % 0.50/0.99 (assume @p262 (forall @t4 (=> @t382 @t134))) % 0.50/0.99 (assume @p263 (forall @t8 (= @t381 (or @t131 @t152)))) % 0.50/0.99 (assume @p264 (forall @t4 (= @t382 (or @t136 @t154)))) % 0.50/0.99 (assume @p265 (forall @t8 (=> @t381 (= @t130 @t152)))) % 0.50/0.99 (assume @p266 (forall @t4 (=> @t382 (= @t135 @t154)))) % 0.50/0.99 (assume @p267 (forall @t8 (=> @t130 (= @t381 @t152)))) % 0.50/0.99 (assume @p268 (forall @t4 (=> @t135 (= @t382 @t154)))) % 0.50/0.99 (assume @p269 (forall @t4 (=> (forall @t384 (=> @t367 @t146)) @t134))) % 0.50/0.99 (assume @p270 (forall @t4 (=> (forall @t384 (=> @t380 @t147)) @t135))) % 0.50/0.99 (assume @p271 (forall @t8 (= @t7 (and @t130 @t387)))) % 0.50/0.99 (assume @p272 (forall @t4 (= @t3 (and @t135 @t388)))) % 0.50/0.99 (assume @p273 (forall @t8 (=> @t131 @t329))) % 0.50/0.99 (assume @p274 (forall @t4 (=> @t136 @t331))) % 0.50/0.99 (assume @p275 (forall @t8 (= @t130 @t389))) % 0.50/0.99 (assume @p276 (forall @t4 (= @t135 @t390))) % 0.50/0.99 (assume @p277 (forall @t8 (= @t7 @t391))) % 0.50/0.99 (assume @p278 (forall @t4 (= @t3 @t392))) % 0.50/0.99 (assume @p279 (forall @t143 (=> (and @t130 @t366) @t365))) % 0.50/0.99 (assume @p280 (forall @t150 (=> (and @t135 @t368) @t367))) % 0.50/0.99 (assume @p281 (forall @t143 (=> (and @t7 @t139) @t365))) % 0.50/0.99 (assume @p282 (forall @t150 (=> (and @t3 @t146) @t367))) % 0.50/0.99 (assume @p283 (forall @t150 (=> (and @t3 (forall @t383 (=> @t393 @t197))) @t145))) % 0.50/0.99 (assume @p284 (forall @t150 (=> (and @t3 (forall @t383 (=> @t393 (<= @t169 @t144)))) @t146))) % 0.50/0.99 (assume @p285 (forall @t8 (= @t130 (or @t7 @t127)))) % 0.50/0.99 (assume @p286 (forall @t4 (= @t135 (or @t3 @t132)))) % 0.50/0.99 (assume @p287 (forall @t8 (= @t7 (and @t130 @t128)))) % 0.50/0.99 (assume @p288 (forall @t4 (= @t3 (and @t135 @t133)))) % 0.50/0.99 (assume @p289 (forall @t143 (=> (and @t130 @t378) @t377))) % 0.50/0.99 (assume @p290 (forall @t150 (=> (and @t135 @t380) @t379))) % 0.50/0.99 (assume @p291 (forall @t143 (=> (and @t7 @t138) @t377))) % 0.50/0.99 (assume @p292 (forall @t150 (=> (and @t3 @t145) @t379))) % 0.50/0.99 (assume @p293 (forall @t8 (=> @t7 @t130))) % 0.50/0.99 (assume @p294 (forall @t4 (=> @t3 @t135))) % 0.50/0.99 (assume @p295 (forall @t8 (= @t131 @t329))) % 0.50/0.99 (assume @p296 (forall @t4 (= @t136 @t331))) % 0.50/0.99 (assume @p297 (forall @t8 (= @t381 @t129))) % 0.50/0.99 (assume @p298 (forall @t4 (= @t382 @t134))) % 0.50/0.99 (assume @p299 (forall @t8 (=> @t391 @t7))) % 0.50/0.99 (assume @p300 (forall @t4 (=> @t392 @t3))) % 0.50/0.99 (assume @p301 (forall @t8 (=> (and @t369 @t130) @t7))) % 0.50/0.99 (assume @p302 (forall @t4 (=> (and @t370 @t135) @t3))) % 0.50/0.99 (assume @p303 (forall @t187 (=> (and @t186 @t351 @t350) @t349))) % 0.50/0.99 (assume @p304 (forall @t200 (=> (and @t199 @t355 @t354) @t353))) % 0.50/0.99 (assume @p305 (forall @t209 (=> (and @t208 @t351 @t358) @t357))) % 0.50/0.99 (assume @p306 (forall @t218 (=> (and @t217 @t355 @t361) @t360))) % 0.50/0.99 (assume @p307 (forall @t227 (=> (and @t130 @t338 @t224) @t335))) % 0.50/0.99 (assume @p308 (forall @t236 (=> (and @t130 @t341 @t233) @t339))) % 0.50/0.99 (assume @p309 (forall @t245 (=> (and @t135 @t345 @t242) @t342))) % 0.50/0.99 (assume @p310 (forall @t254 (=> (and @t135 @t348 @t251) @t346))) % 0.50/0.99 (assume @p311 (forall @t187 (=> (and @t352 @t184 @t183) @t349))) % 0.50/0.99 (assume @p312 (forall @t209 (=> (and @t359 @t184 @t206) @t357))) % 0.50/0.99 (assume @p313 (forall @t200 (=> (and @t356 @t197 @t196) @t353))) % 0.50/0.99 (assume @p314 (forall @t218 (=> (and @t362 @t197 @t215) @t360))) % 0.50/0.99 (assume @p315 (forall @t227 (=> (and @t7 @t226 @t337) @t335))) % 0.50/0.99 (assume @p316 (forall @t245 (=> (and @t3 @t244 @t344) @t342))) % 0.50/0.99 (assume @p317 (forall @t236 (=> (and @t7 @t235 @t340) @t339))) % 0.50/0.99 (assume @p318 (forall @t254 (=> (and @t3 @t253 @t347) @t346))) % 0.50/0.99 (assume @p319 (forall @t8 (or @t130 @t329))) % 0.50/0.99 (assume @p320 (forall @t4 (or @t135 @t331))) % 0.50/0.99 (assume @p321 (forall @t8 (=> @t130 @t389))) % 0.50/0.99 (assume @p322 (forall @t4 (=> @t135 @t390))) % 0.50/0.99 (assume @p323 (not @t394)) % 0.50/0.99 (assume @p324 (not (< 0/1 0/1))) % 0.50/0.99 (assume @p325 (<= 1 1)) % 0.50/0.99 (assume @p326 (<= 1/1 1/1)) % 0.50/0.99 (assume @p327 (forall @t326 (=> (and @t396 (forall @t325 (=> (and @t395 @t324) @t322))) @t297))) % 0.50/0.99 (assume @p328 (forall @t301 (=> @t316 (not @t397)))) % 0.50/0.99 (assume @p329 (forall @t270 (=> @t311 false))) % 0.50/0.99 (assume @p330 (forall @t270 (= (not @t312) @t274))) % 0.50/0.99 (assume @p331 (forall @t270 (=> @t285 @t312))) % 0.50/0.99 (assume @p332 (forall @t301 (= @t316 @t398))) % 0.50/0.99 (assume @p333 (forall @t301 (=> @t316 @t300))) % 0.50/0.99 (assume @p334 (forall @t301 (= @t300 @t399))) % 0.50/0.99 (assume @p335 (forall @t301 (=> @t399 @t300))) % 0.50/0.99 (assume @p336 (forall @t301 (=> @t398 @t316))) % 0.50/0.99 (assume @p337 (forall (@list @t400 @t296 @t294) (=> (and (forall (@list @t286 @t288) (=> @t401 (< (|tptp.'of_nat$'| (|tptp.'fun_app$u'| @t400 @t286)) (|tptp.'of_nat$'| (|tptp.'fun_app$u'| @t400 @t288))))) @t303) (<= (|tptp.'of_nat$'| (|tptp.'fun_app$u'| @t400 @t296)) (|tptp.'of_nat$'| (|tptp.'fun_app$u'| @t400 @t294)))))) % 0.50/0.99 (assume @p338 (forall @t270 (<= 0/1 @t307))) % 0.50/0.99 (assume @p339 (forall @t301 (=> @t300 @t300))) % 0.50/0.99 (assume @p340 (forall @t301 (=> @t300 @t315))) % 0.50/0.99 (assume @p341 (forall @t326 (=> (and @t297 (not @t396)) (exists @t325 (and (<= @t295 @t298) (forall @t293 (=> @t321 @t320)) @t323))))) % 0.50/0.99 (assume @p342 (forall @t270 (=> @t402 @t402))) % 0.50/0.99 (assume @p343 (forall @t270 (=> (< 1/1 @t307) @t402))) % 0.50/0.99 (assume @p344 (not (< 1 0))) % 0.50/0.99 (assume @p345 (not (< 1/1 0/1))) % 0.50/0.99 (assume @p346 (<= 0 1)) % 0.50/0.99 (assume @p347 (<= 0/1 1/1)) % 0.50/0.99 (assume @p348 (not (<= 1 0))) % 0.50/0.99 (assume @p349 (not (<= 1/1 0/1))) % 0.50/0.99 (assume @p350 (forall (@list @t267 @t403 @t294) (=> (and (forall @t293 (=> (< @t268 @t287) @t404)) (forall @t293 (=> (and (<= @t287 @t268) (forall @t291 (=> @t401 (|tptp.'fun_app$s'| @t403 @t288)))) @t404))) (|tptp.'fun_app$s'| @t403 @t294)))) % 0.50/0.99 (assume @p351 (not (= 0 1))) % 0.50/0.99 (assume @p352 (not (= 0/1 1/1))) % 0.50/0.99 (assume @p353 (forall @t270 (= (<= 1/1 @t307) (<= 1 @t268)))) % 0.50/0.99 (assume @p354 (forall @t124 (=> (and @t408 (forall @t407 (=> (and @t406 @t405) false))) false))) % 0.50/0.99 (assume @p355 (forall @t124 (=> @t408 (exists @t407 (and @t405 @t406))))) % 0.50/0.99 (assume @p356 (forall @t124 (= (<= 1 @t6) @t408))) % 0.50/0.99 (assume @p357 (forall @t124 (=> @t409 (exists @t407 @t406)))) % 0.50/0.99 (assume @p358 (forall @t124 (=> (and @t409 @t410) false))) % 0.50/0.99 (assume @p359 (= @t394 false)) % 0.50/0.99 (assume @p360 (forall @t8 (or @t152 @t131 @t387))) % 0.50/0.99 (assume @p361 (forall @t4 (or @t154 @t136 @t388))) % 0.50/0.99 (assume @p362 (forall @t124 (= @t363 false))) % 0.50/0.99 (assume @p363 (forall @t125 (= @t364 false))) % 0.50/0.99 (assume @p364 (forall (@list @t58 @t296 @t294) (and (=> @t59 (and (=> @t59 (= @t298 @t298)) (=> @t60 (= @t298 @t295)))) (=> @t60 (and (=> @t59 (= @t295 @t298)) (=> @t60 (= @t295 @t295))))))) % 0.50/0.99 (assume @p365 (forall (@list @t267 @t413 @t411) (=> (and (forall @t293 (=> @t415 (< @t414 @t416))) (forall @t293 (=> @t415 (<= @t416 @t412)))) (forall @t293 (=> @t415 (< @t414 @t412)))))) % 0.50/0.99 (assume @p366 (forall @t125 (exists @t407 (< @t2 @t308)))) % 0.50/0.99 (assume @p367 (forall @t125 (exists @t407 (<= @t2 @t308)))) % 0.50/0.99 (assume @p368 (forall @t4 (=> @t420 (exists @t384 (and @t417 @t380 @t379))))) % 0.50/0.99 (assume @p369 (= (|tptp.'fun_app$o'| |tptp.'dbl_inc$'| 0) 1)) % 0.50/0.99 (assume @p370 (= (|tptp.'fun_app$r'| |tptp.'dbl_inc$a'| 0/1) 1/1)) % 0.50/0.99 (assume @p371 (forall @t103 (=> (and @t423 (not @t422)) (= @t421 |tptp.'one$'|)))) % 0.50/0.99 (assume @p372 (forall @t109 (=> (and @t426 (not @t425)) (= @t424 |tptp.'one$'|)))) % 0.50/0.99 (assume @p373 (forall @t103 (=> (and @t423 (= @t421 |tptp.'zero$e'|)) @t422))) % 0.50/0.99 (assume @p374 (forall @t109 (=> (and @t426 (= @t424 |tptp.'zero$e'|)) @t425))) % 0.50/0.99 (assume @p375 (forall @t4 (=> (and @t427 (<= 0/1 @t1) (forall @t325 (=> @t395 (<= (|tptp.'fun_app$r'| (|tptp.'times$'| (|tptp.'fun_app$t'| |tptp.'of_nat$a'| @t294)) @t2) @t1)))) @t265))) % 0.50/0.99 (assume @p376 (forall @t124 (=> (and @t430 (forall @t407 (=> (and @t429 @t405) false))) false))) % 0.50/0.99 (assume @p377 (forall @t8 (= (= @t432 @t431) @t152))) % 0.50/0.99 (assume @p378 (forall @t124 (= (- @t432) @t6))) % 0.50/0.99 (assume @p379 (forall @t124 (= (* 0 @t6) 0))) % 0.50/0.99 (assume @p380 (forall @t125 (= (* 0/1 @t2) 0/1))) % 0.50/0.99 (assume @p381 (forall @t124 (= (* @t6 0) 0))) % 0.50/0.99 (assume @p382 (forall @t125 (= (* @t2 0/1) 0/1))) % 0.50/1.00 (assume @p383 (forall @t8 (= @t437 @t434))) % 0.50/1.00 (assume @p384 (forall @t4 (= @t442 @t439))) % 0.50/1.00 (assume @p385 (forall @t143 (= @t444 (or @t263 @t155)))) % 0.50/1.00 (assume @p386 (forall @t150 (= @t446 (or @t265 @t156)))) % 0.50/1.00 (assume @p387 (forall @t143 (= (= @t436 @t448) (or @t433 (= @t6 @t137))))) % 0.50/1.00 (assume @p388 (forall @t150 (= @t452 (or @t438 @t449)))) % 0.50/1.00 (assume @p389 (forall @t150 (= @t446 (or @t156 @t265)))) % 0.50/1.00 (assume @p390 (forall @t150 (= @t452 (or @t449 @t438)))) % 0.50/1.00 (assume @p391 (forall @t8 (= (<= @t432 @t431) @t129))) % 0.50/1.00 (assume @p392 (forall @t4 (= (<= @t454 @t453) @t134))) % 0.50/1.00 (assume @p393 (forall @t125 (= (= @t454 @t2) @t265))) % 0.50/1.00 (assume @p394 (forall @t124 (= (= @t432 @t6) @t263))) % 0.50/1.00 (assume @p395 (forall @t125 (= (= @t2 @t454) @t265))) % 0.50/1.00 (assume @p396 (forall @t124 (= (= @t6 @t432) @t263))) % 0.50/1.00 (assume @p397 (forall @t125 (= (= @t454 0/1) @t265))) % 0.50/1.00 (assume @p398 (forall @t124 (= (= @t432 0) @t263))) % 0.50/1.00 (assume @p399 (forall @t125 (= (= 0/1 @t454) @t266))) % 0.50/1.00 (assume @p400 (forall @t124 (= (= 0 @t432) @t264))) % 0.50/1.00 (assume @p401 (= 0/1 0/1)) % 0.50/1.00 (assume @p402 (= 0 0)) % 0.50/1.00 (assume @p403 (forall @t4 (= (< @t454 @t453) @t331))) % 0.50/1.00 (assume @p404 (forall @t8 (= (< @t432 @t431) @t329))) % 0.50/1.00 (assume @p405 (forall @t124 (= (* @t6 1) @t6))) % 0.50/1.00 (assume @p406 (forall @t125 (= (* @t2 1/1) @t2))) % 0.50/1.00 (assume @p407 (forall @t124 (= (* 1 @t6) @t6))) % 0.50/1.00 (assume @p408 (forall @t125 (= (* 1/1 @t2) @t2))) % 0.50/1.00 (assume @p409 (forall @t4 (= (|tptp.'fun_app$r'| @t440 @t453) @t455))) % 0.50/1.00 (assume @p410 (forall @t4 (= (|tptp.'fun_app$r'| (|tptp.'times$'| @t454) @t1) @t455))) % 0.50/1.00 (assume @p411 (forall (@list @t14 @t27 @t30) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'times$b'| @t14 @t27)) @t30) (|tptp.'times$c'| @t55 @t32)))) % 0.50/1.00 (assume @p412 (forall (@list @t18 @t24 @t30) (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'times$d'| @t18 @t24)) @t30) (|tptp.'times$e'| @t56 @t41)))) % 0.50/1.00 (assume @p413 (forall @t301 (= (|tptp.'of_nat$'| @t458) @t457))) % 0.50/1.00 (assume @p414 (forall @t301 (= (|tptp.'fun_app$t'| |tptp.'of_nat$a'| @t458) (|tptp.'fun_app$r'| @t459 @t308)))) % 0.50/1.00 (assume @p415 (forall @t271 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'uminus$'| @t14)) @t12) (|tptp.'uminus$a'| @t16)))) % 0.50/1.00 (assume @p416 (forall @t273 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'uminus$b'| @t18)) @t12) (|tptp.'uminus$c'| @t20)))) % 0.50/1.00 (assume @p417 (forall @t124 (= (<= 0 @t432) @t460))) % 0.50/1.00 (assume @p418 (forall @t125 (= (<= 0/1 @t454) @t461))) % 0.50/1.00 (assume @p419 (forall @t124 (= (<= @t432 0) @t409))) % 0.50/1.00 (assume @p420 (forall @t125 (= (<= @t454 0/1) @t427))) % 0.50/1.00 (assume @p421 (forall @t124 (= (<= @t6 @t432) @t460))) % 0.50/1.00 (assume @p422 (forall @t125 (= (<= @t2 @t454) @t461))) % 0.50/1.00 (assume @p423 (forall @t124 (= (<= @t432 @t6) @t409))) % 0.50/1.00 (assume @p424 (forall @t125 (= (<= @t454 @t2) @t427))) % 0.50/1.00 (assume @p425 (forall @t125 (= (< @t454 0/1) @t419))) % 0.50/1.00 (assume @p426 (forall @t124 (= (< @t432 0) @t408))) % 0.50/1.00 (assume @p427 (forall @t125 (= (< 0/1 @t454) @t462))) % 0.50/1.00 (assume @p428 (forall @t124 (= (< 0 @t432) @t430))) % 0.50/1.00 (assume @p429 (forall @t125 (= (< @t454 @t2) @t419))) % 0.50/1.00 (assume @p430 (forall @t124 (= (< @t432 @t6) @t408))) % 0.50/1.00 (assume @p431 (forall @t125 (= (< @t2 @t454) @t462))) % 0.50/1.00 (assume @p432 (forall @t124 (= (< @t6 @t432) @t430))) % 0.50/1.00 (assume @p433 (forall @t8 (= (= @t436 @t5) (or @t433 @t375)))) % 0.50/1.00 (assume @p434 (forall @t4 (= (= @t441 @t1) (or @t438 @t376)))) % 0.50/1.00 (assume @p435 (forall @t8 (= (= @t6 @t465) @t463))) % 0.50/1.00 (assume @p436 (forall @t4 (= (= @t2 @t468) @t466))) % 0.50/1.00 (assume @p437 (forall @t8 (= (= @t436 @t6) @t463))) % 0.50/1.00 (assume @p438 (forall @t4 (= (= @t441 @t2) @t466))) % 0.50/1.00 (assume @p439 (forall @t8 (= (= @t6 @t436) @t463))) % 0.50/1.00 (assume @p440 (forall @t4 (= (= @t2 @t441) @t466))) % 0.50/1.00 (assume @p441 (forall @t125 (= (* @t2 @t469) @t454))) % 0.50/1.00 (assume @p442 (forall @t124 (= (* @t6 @t470) @t432))) % 0.50/1.00 (assume @p443 (forall @t125 (= (* @t469 @t2) @t454))) % 0.50/1.00 (assume @p444 (forall @t124 (= (* @t470 @t6) @t432))) % 0.50/1.00 (assume @p445 (forall @t301 (= (= @t471 @t298) (and @t274 @t397)))) % 0.50/1.00 (assume @p446 (forall @t301 (<= @t471 @t298))) % 0.50/1.00 (assume @p447 (forall @t109 (= (|tptp.'matrix_matrix_mult$'| (|tptp.'mat$'| |tptp.'one$'|) @t18) @t18))) % 0.50/1.00 (assume @p448 (= (|tptp.'fun_app$r'| |tptp.'dbl_inc$a'| @t469) @t469)) % 0.50/1.00 (assume @p449 (= (|tptp.'fun_app$o'| |tptp.'dbl_inc$'| @t470) @t470)) % 0.50/1.00 (assume @p450 (forall @t111 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$'| (|tptp.'uminus$'| |tptp.'one$a'|)) @t86) (|tptp.'uminus$a'| |tptp.'one$b'|)))) % 0.50/1.00 (assume @p451 (forall @t111 (= (|tptp.'fun_app$e'| (|tptp.'vec_nth$a'| (|tptp.'uminus$b'| |tptp.'one$c'|)) @t86) (|tptp.'uminus$c'| |tptp.'one$d'|)))) % 0.50/1.00 (assume @p452 (forall @t8 (=> @t474 @t472))) % 0.50/1.00 (assume @p453 (forall @t4 (=> @t477 @t475))) % 0.50/1.00 (assume @p454 (forall @t124 (not (< @t478 0)))) % 0.50/1.00 (assume @p455 (forall @t125 (not (< @t479 0/1)))) % 0.50/1.00 (assume @p456 (forall @t8 (= @t483 (or @t482 @t481)))) % 0.50/1.00 (assume @p457 (forall @t4 (= @t486 (or @t485 @t484)))) % 0.50/1.00 (assume @p458 (forall @t8 (=> @t481 @t483))) % 0.50/1.00 (assume @p459 (forall @t4 (=> @t484 @t486))) % 0.50/1.00 (assume @p460 (forall @t8 (=> @t482 @t483))) % 0.50/1.00 (assume @p461 (forall @t4 (=> @t485 @t486))) % 0.50/1.00 (assume @p462 (forall @t8 (=> @t487 @t472))) % 0.50/1.00 (assume @p463 (forall @t4 (=> @t420 @t475))) % 0.50/1.00 (assume @p464 (forall @t8 (=> @t482 (< @t465 0)))) % 0.50/1.00 (assume @p465 (forall @t4 (=> @t485 (< @t468 0/1)))) % 0.50/1.00 (assume @p466 (forall @t8 (= @t472 (or @t487 @t474)))) % 0.50/1.00 (assume @p467 (forall @t4 (= @t475 (or @t420 @t477)))) % 0.50/1.00 (assume @p468 (forall @t8 (=> (and @t472 @t408) @t480))) % 0.50/1.00 (assume @p469 (forall @t4 (=> (and @t475 @t419) @t418))) % 0.50/1.00 (assume @p470 (forall @t8 (=> (and @t472 @t480) @t408))) % 0.50/1.00 (assume @p471 (forall @t4 (=> (and @t475 @t418) @t419))) % 0.50/1.00 (assume @p472 (forall @t143 (=> @t430 (= @t488 @t377)))) % 0.50/1.00 (assume @p473 (forall @t150 (=> @t462 (= @t489 @t379)))) % 0.50/1.00 (assume @p474 (forall @t143 (=> @t408 (= @t488 @t366)))) % 0.50/1.00 (assume @p475 (forall @t150 (=> @t419 (= @t489 @t368)))) % 0.50/1.00 (assume @p476 (forall @t143 (=> @t491 (< @t448 @t490)))) % 0.50/1.00 (assume @p477 (forall @t150 (=> @t493 (< @t451 @t492)))) % 0.50/1.00 (assume @p478 (forall @t143 (=> @t494 (< @t490 @t448)))) % 0.50/1.00 (assume @p479 (forall @t150 (=> @t495 (< @t492 @t451)))) % 0.50/1.00 (assume @p480 (forall @t143 (= @t488 (or (and @t408 @t366) (and @t430 @t377))))) % 0.50/1.00 (assume @p481 (forall @t150 (= @t489 (or (and @t419 @t368) (and @t462 @t379))))) % 0.50/1.00 (assume @p482 (forall @t143 (=> @t491 (< @t496 @t443)))) % 0.50/1.00 (assume @p483 (forall @t150 (=> @t493 (< @t497 @t445)))) % 0.50/1.00 (assume @p484 (forall @t143 (=> @t494 (< @t443 @t496)))) % 0.50/1.00 (assume @p485 (forall @t150 (=> @t495 (< @t445 @t497)))) % 0.50/1.00 (assume @p486 (forall @t143 (= (< @t436 @t448) (or (and @t480 @t365) (and @t473 @t378))))) % 0.50/1.00 (assume @p487 (forall @t150 (= (< @t441 @t451) (or (and @t418 @t367) (and @t476 @t380))))) % 0.50/1.00 (assume @p488 (forall @t8 (=> (and (< 1 @t6) (< 1 @t5)) (< 1 @t436)))) % 0.50/1.00 (assume @p489 (forall @t4 (=> (and (< 1/1 @t2) (< 1/1 @t1)) (< 1/1 @t441)))) % 0.50/1.00 (assume @p490 (forall @t301 (not (< @t268 @t428)))) % 0.50/1.00 (assume @p491 (forall @t8 (=> @t500 @t499))) % 0.50/1.00 (assume @p492 (forall @t4 (=> @t503 @t502))) % 0.50/1.00 (assume @p493 (forall @t8 (=> @t437 @t434))) % 0.50/1.00 (assume @p494 (forall @t4 (=> @t442 @t439))) % 0.50/1.00 (assume @p495 (forall @t8 (=> @t499 @t500))) % 0.50/1.00 (assume @p496 (forall @t4 (=> @t502 @t503))) % 0.50/1.00 (assume @p497 (forall @t143 (=> @t498 (= @t444 @t155)))) % 0.50/1.00 (assume @p498 (forall @t150 (=> @t501 (= @t446 @t156)))) % 0.50/1.00 (assume @p499 (forall @t143 (=> @t498 (= (= @t465 @t490) @t155)))) % 0.50/1.00 (assume @p500 (forall @t150 (=> @t501 (= @t504 @t156)))) % 0.50/1.00 (assume @p501 (forall @t150 (=> (and @t501 @t446) @t156))) % 0.50/1.00 (assume @p502 (forall @t150 (=> (and @t501 @t504) @t156))) % 0.50/1.00 (assume @p503 (not (<= 1 @t470))) % 0.50/1.00 (assume @p504 (not (<= 1/1 @t469))) % 0.50/1.00 (assume @p505 (<= @t470 1)) % 0.50/1.00 (assume @p506 (<= @t469 1/1)) % 0.50/1.00 (assume @p507 (not (= 0/1 @t469))) % 0.50/1.00 (assume @p508 (not (= 0 @t470))) % 0.50/1.00 (assume @p509 (not (< 1/1 @t469))) % 0.50/1.00 (assume @p510 (not (< 1 @t470))) % 0.50/1.00 (assume @p511 (< @t469 1/1)) % 0.50/1.00 (assume @p512 (< @t470 1)) % 0.50/1.00 (assume @p513 (forall @t125 (= (= @t479 1/1) (or @t376 (= @t2 @t469))))) % 0.50/1.00 (assume @p514 (forall @t124 (= (= @t478 1) (or @t375 (= @t6 @t470))))) % 0.50/1.00 (assume @p515 (forall @t8 (=> @t130 (<= @t431 @t432)))) % 0.50/1.00 (assume @p516 (forall @t4 (=> @t135 (<= @t453 @t454)))) % 0.50/1.00 (assume @p517 (forall @t8 (= (<= @t432 @t5) (<= @t431 @t6)))) % 0.50/1.00 (assume @p518 (forall @t4 (= (<= @t454 @t1) (<= @t453 @t2)))) % 0.50/1.00 (assume @p519 (forall @t8 (= (<= @t6 @t431) (<= @t5 @t432)))) % 0.50/1.00 (assume @p520 (forall @t4 (= (<= @t2 @t453) (<= @t1 @t454)))) % 0.50/1.00 (assume @p521 (not (= 1/1 @t469))) % 0.50/1.00 (assume @p522 (not (= 1 @t470))) % 0.50/1.00 (assume @p523 (forall @t150 (= @t505 (|tptp.'fun_app$r'| @t467 @t445)))) % 0.50/1.00 (assume @p524 (forall @t150 (= @t505 @t506))) % 0.50/1.00 (assume @p525 (forall @t4 (= @t441 @t468))) % 0.50/1.00 (assume @p526 (forall @t8 (= (= @t432 @t5) (= @t431 @t6)))) % 0.50/1.00 (assume @p527 (forall @t8 (= (= @t6 @t431) (= @t5 @t432)))) % 0.50/1.00 (assume @p528 (forall @t150 (= @t506 @t505))) % 0.50/1.00 (assume @p529 (forall (@list @t267 @t5) (= (|tptp.'fun_app$o'| @t456 @t5) (|tptp.'fun_app$o'| @t464 @t268)))) % 0.50/1.00 (assume @p530 (forall (@list @t267 @t1) (= (|tptp.'fun_app$r'| @t459 @t1) (|tptp.'fun_app$r'| @t467 @t307)))) % 0.50/1.00 (assume @p531 (forall @t124 (=> (and @t410 (forall @t407 (=> @t429 false))) false))) % 0.50/1.00 (assume @p532 (forall @t4 (= (< @t2 @t453) (< @t1 @t454)))) % 0.50/1.00 (assume @p533 (forall @t8 (= (< @t6 @t431) (< @t5 @t432)))) % 0.50/1.00 (assume @p534 (forall @t4 (= (< @t454 @t1) (< @t453 @t2)))) % 0.50/1.00 (assume @p535 (forall @t8 (= (< @t432 @t5) (< @t431 @t6)))) % 0.50/1.00 (assume @p536 (forall @t4 (=> @t3 (< @t453 @t454)))) % 0.50/1.00 (assume @p537 (forall @t8 (=> @t7 (< @t431 @t432)))) % 0.50/1.00 (assume @p538 (forall @t150 (=> (and @t135 (<= 0/1 @t144)) (<= @t492 @t451)))) % 0.50/1.00 (assume @p539 (forall @t270 (= (|tptp.'nat$'| @t268) @t267))) % 0.50/1.00 (assume @p540 (forall @t124 (and (=> @t409 (= @t507 @t6)) (=> (not @t409) (= @t507 0))))) % 0.50/1.00 (assume @p541 (forall (@list @t508) (or (= @t508 tptp.tltrue) (= @t508 tptp.tlfalse)))) % 0.50/1.00 (assume @p542 (not (= tptp.tltrue tptp.tlfalse))) % 0.50/1.00 (assume @p543 true) % 0.50/1.00 (assume-push @p551 @t23) % 0.50/1.00 (step @p545 :rule instantiate :premises (@p8) :args ((@list @t9 |tptp.'i$'| |tptp.'a$'|))) % 0.50/1.00 (step-pop @p552 :rule scope :premises (@p545)) % 0.50/1.00 (step @p546 :rule process_scope :premises (@p552) :args (@t11)) % 0.50/1.00 (step @p548 :rule implies_elim :premises (@p546)) % 0.50/1.00 (step @p549 :rule reordering :premises (@p548) :args ((or @t11 (not @t23)))) % 0.50/1.00 (step @p550 false :rule chain_m_resolution :premises (@p549 @p8 @p3) :args (false (@list false true) (@list @t23 @t11))) % 0.50/1.00 ) % 0.50/1.00 % SZS output end Proof % 0.50/1.00 % cvc5 exiting %------------------------------------------------------------------------------