%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP332_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 : n013.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 45.89s 46.38s % Output : Proof 45.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP332_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 % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:00:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.65 %----Proving TF0_ARI % 45.89/46.38 --- Run --finite-model-find --decision=internal at 45... % 45.89/46.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.89/46.38 % SZS status Theorem % 45.89/46.38 % SZS output start Proof % 45.89/46.38 ( % 45.89/46.38 (declare-sort |tptp.'Int_int_fun$'| 0) % 45.89/46.38 (declare-sort |tptp.'Real_real_fun$'| 0) % 45.89/46.38 (declare-sort |tptp.'Real_bool_fun$'| 0) % 45.89/46.38 (declare-sort |tptp.'Real_set$'| 0) % 45.89/46.38 (declare-sort |tptp.'Nat_set$'| 0) % 45.89/46.38 (declare-sort |tptp.'Int_set$'| 0) % 45.89/46.38 (declare-sort tptp.tlbool 0) % 45.89/46.38 (declare-sort |tptp.'Nat_nat_fun$'| 0) % 45.89/46.38 (declare-sort |tptp.'Nat$'| 0) % 45.89/46.38 (declare-sort |tptp.'N$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_n_vec_n_vec$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_m_vec_m_vec$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_m_vec_n_vec$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_n_vec_m_vec$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_n_vec_set$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_m_vec$'| 0) % 45.89/46.38 (declare-sort |tptp.'A$'| 0) % 45.89/46.38 (declare-sort |tptp.'M$'| 0) % 45.89/46.38 (declare-sort |tptp.'A_n_vec$'| 0) % 45.89/46.38 (declare-sort |tptp.'Nat_bool_fun$'| 0) % 45.89/46.38 (declare-const tptp.tlfalse tptp.tlbool) % 45.89/46.38 (declare-const |tptp.'divide$a'| (-> Int |tptp.'Int_int_fun$'|)) % 45.89/46.38 (declare-const |tptp.'plus$'| (-> |tptp.'Real_set$'| |tptp.'Real_set$'| |tptp.'Real_set$'|)) % 45.89/46.38 (declare-const |tptp.'divide$'| (-> Real |tptp.'Real_real_fun$'|)) % 45.89/46.38 (declare-const |tptp.'fun_app$b'| (-> |tptp.'Real_bool_fun$'| Real Bool)) % 45.89/46.38 (declare-const |tptp.'orthogonal$'| (-> Real |tptp.'Real_bool_fun$'|)) % 45.89/46.38 (declare-const |tptp.'norm$'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'less_eq$'| (-> |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|)) % 45.89/46.38 (declare-const |tptp.'dbl_inc$a'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'dbl_inc$'| (-> Int Int)) % 45.89/46.38 (declare-const |tptp.'less$'| (-> |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|)) % 45.89/46.38 (declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|)) % 45.89/46.38 (declare-const |tptp.'fun_app$a'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool)) % 45.89/46.38 (declare-const |tptp.'column$'| (-> |tptp.'N$'| |tptp.'A_n_vec_m_vec$'| |tptp.'A_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'fun_app$c'| (-> |tptp.'Real_real_fun$'| Real Real)) % 45.89/46.38 (declare-const |tptp.'column$a'| (-> |tptp.'N$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'exp$'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'columnvector$'| (-> |tptp.'A_m_vec$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'zero$e'| |tptp.'A_m_vec$'|) % 45.89/46.38 (declare-const |tptp.'fun_app$d'| (-> |tptp.'Int_int_fun$'| Int Int)) % 45.89/46.38 (declare-const |tptp.'zero$f'| |tptp.'A_n_vec$'|) % 45.89/46.38 (declare-const |tptp.'matrix_vector_mult$b'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec$'| |tptp.'A_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_vector_mult$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_vector_mult$'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec$'| |tptp.'A_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'powr$'| (-> Real Real Real)) % 45.89/46.38 (declare-const |tptp.'transpose$c'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'A_m_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'transpose$b'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'transpose$'| (-> |tptp.'A_m_vec_n_vec$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'transpose$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'interchange_rows$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'interchange_rows$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'M$'| |tptp.'M$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'member$b'| (-> Real |tptp.'Real_set$'| Bool)) % 45.89/46.38 (declare-const |tptp.'times$f'| (-> |tptp.'Real_set$'| |tptp.'Real_set$'| |tptp.'Real_set$'|)) % 45.89/46.38 (declare-const |tptp.'times$e'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 45.89/46.38 (declare-const |tptp.'times$d'| (-> |tptp.'Int_set$'| |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 45.89/46.38 (declare-const |tptp.'of_nat$'| (-> |tptp.'Nat$'| Int)) % 45.89/46.38 (declare-const tptp.tltrue tptp.tlbool) % 45.89/46.38 (declare-const |tptp.'one$a'| |tptp.'Nat$'|) % 45.89/46.38 (declare-const |tptp.'fun_app$'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|)) % 45.89/46.38 (declare-const |tptp.'vector_matrix_mult$'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$e'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'times$c'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$g'| (-> |tptp.'A_m_vec_n_vec$'| |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'invertible$c'| (-> |tptp.'A_n_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'null_space$'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec_set$'|)) % 45.89/46.38 (declare-const |tptp.'invertible$b'| (-> |tptp.'A_m_vec_n_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'mat$a'| (-> |tptp.'A$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'member$'| (-> Int |tptp.'Int_set$'| Bool)) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$f'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_n_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$f'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$b'| (-> |tptp.'A_m_vec_n_vec$'| |tptp.'A_m_vec_n_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$d'| (-> |tptp.'A_m_vec_n_vec$'| |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$e'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_m_vec_n_vec$'| |tptp.'A_m_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'member$a'| (-> |tptp.'Nat$'| |tptp.'Nat_set$'| Bool)) % 45.89/46.38 (declare-const |tptp.'ln$'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'matrix_inv$b'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$a'| (-> |tptp.'A_m_vec_n_vec$'| |tptp.'A_m_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'vector_matrix_mult$a'| (-> |tptp.'A_m_vec$'| |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'thesis$'| Bool) % 45.89/46.38 (declare-const |tptp.'mult_row$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'null_space$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_set$'|)) % 45.89/46.38 (declare-const |tptp.'invertible$a'| (-> |tptp.'A_n_vec_n_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'invertible$'| (-> |tptp.'A_m_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'zero$'| |tptp.'A_n_vec_n_vec$'|) % 45.89/46.38 (declare-const |tptp.'matrix_inv$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'row_add$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'M$'| |tptp.'M$'| |tptp.'A$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$a'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'times$'| (-> |tptp.'A$'| |tptp.'A$'| |tptp.'A$'|)) % 45.89/46.38 (declare-const |tptp.'divide$b'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|)) % 45.89/46.38 (declare-const |tptp.'b$'| |tptp.'A_n_vec_m_vec$'|) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'A_n_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'a$'| |tptp.'A_n_vec_m_vec$'|) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$c'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'mult_column$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'M$'| |tptp.'A$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'equivalent_matrices$d'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec_m_vec$'| Bool)) % 45.89/46.38 (declare-const |tptp.'interchange_rows$b'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'M$'| |tptp.'M$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_inv$a'| (-> |tptp.'A_m_vec_n_vec$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$b'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'vector_matrix_mult$b'| (-> |tptp.'A_m_vec$'| |tptp.'A_m_vec_m_vec$'| |tptp.'A_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'column_add$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'row_add$b'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'M$'| |tptp.'M$'| |tptp.'A$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'zero$b'| |tptp.'A_m_vec_m_vec$'|) % 45.89/46.38 (declare-const |tptp.'one$'| |tptp.'A$'|) % 45.89/46.38 (declare-const |tptp.'column_add$b'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'mat$'| (-> |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'zero$c'| |tptp.'A$'|) % 45.89/46.38 (declare-const |tptp.'mult_column$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'matrix_matrix_mult$c'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'A_m_vec_n_vec$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'arsinh$'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'arcosh$'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'zero$a'| |tptp.'A_n_vec_m_vec$'|) % 45.89/46.38 (declare-const |tptp.'mult_row$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'M$'| |tptp.'A$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'zero$d'| |tptp.'Nat$'|) % 45.89/46.38 (declare-const |tptp.'column_add$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'M$'| |tptp.'M$'| |tptp.'A$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'mult_row$b'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'M$'| |tptp.'A$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'columnvector$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'mult_column$b'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'artanh$'| (-> Real Real)) % 45.89/46.38 (declare-const |tptp.'interchange_columns$'| (-> |tptp.'A_m_vec_m_vec$'| |tptp.'M$'| |tptp.'M$'| |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'interchange_columns$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'interchange_columns$b'| (-> |tptp.'A_n_vec_m_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (declare-const |tptp.'row_add$a'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (declare-const |tptp.'times$a'| (-> Real Real Real)) % 45.89/46.38 (declare-const |tptp.'times$b'| (-> Int Int Int)) % 45.89/46.38 (define @t1 () (@var "A__questionmark_v1" |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (define @t2 () (|tptp.'invertible$a'| @t1)) % 45.89/46.38 (define @t3 () (@var "A__questionmark_v0" |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (define @t4 () (|tptp.'invertible$'| @t3)) % 45.89/46.38 (define @t5 () (|tptp.'matrix_inv$'| @t3)) % 45.89/46.38 (define @t6 () (= |tptp.'b$'| (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_matrix_mult$a'| @t5 |tptp.'a$'|) @t1))) % 45.89/46.38 (define @t7 () (and @t6 @t4 @t2)) % 45.89/46.38 (define @t8 () (@list @t3 @t1)) % 45.89/46.38 (define @t9 () (forall @t8 (=> @t7 |tptp.'thesis$'|))) % 45.89/46.38 (define @t10 () (|tptp.'equivalent_matrices$'| |tptp.'a$'| |tptp.'b$'|)) % 45.89/46.38 (define @t11 () (@var "A__questionmark_v3" |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (define @t12 () (@var "A__questionmark_v0" |tptp.'A_m_vec_n_vec$'|)) % 45.89/46.38 (define @t13 () (@var "A__questionmark_v2" |tptp.'A_m_vec_n_vec$'|)) % 45.89/46.38 (define @t14 () (|tptp.'matrix_inv$a'| @t13)) % 45.89/46.38 (define @t15 () (@var "A__questionmark_v1" |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (define @t16 () (|tptp.'invertible$'| @t11)) % 45.89/46.38 (define @t17 () (|tptp.'invertible$b'| @t13)) % 45.89/46.38 (define @t18 () (@list @t12 @t15)) % 45.89/46.38 (define @t19 () (@var "A__questionmark_v2" |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (define @t20 () (|tptp.'matrix_inv$b'| @t19)) % 45.89/46.38 (define @t21 () (@var "A__questionmark_v1" |tptp.'A_m_vec_n_vec$'|)) % 45.89/46.38 (define @t22 () (|tptp.'invertible$a'| @t19)) % 45.89/46.38 (define @t23 () (@var "A__questionmark_v3" |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (define @t24 () (@var "A__questionmark_v0" |tptp.'A_n_vec_n_vec$'|)) % 45.89/46.38 (define @t25 () (|tptp.'invertible$a'| @t23)) % 45.89/46.38 (define @t26 () (@list @t24 @t1)) % 45.89/46.38 (define @t27 () (@var "A__questionmark_v2" |tptp.'A_m_vec_m_vec$'|)) % 45.89/46.38 (define @t28 () (|tptp.'matrix_inv$'| @t27)) % 45.89/46.38 (define @t29 () (|tptp.'matrix_matrix_mult$b'| @t28 @t3)) % 45.89/46.38 (define @t30 () (|tptp.'invertible$'| @t27)) % 45.89/46.38 (define @t31 () (@list @t3 @t15)) % 45.89/46.38 (define @t32 () (@var "A__questionmark_v1" |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (define @t33 () (@var "A__questionmark_v0" |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (define @t34 () (= @t32 (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_matrix_mult$a'| @t28 @t33) @t23))) % 45.89/46.38 (define @t35 () (and @t30 @t25 @t34)) % 45.89/46.38 (define @t36 () (@list @t27 @t23)) % 45.89/46.38 (define @t37 () (exists @t36 @t35)) % 45.89/46.38 (define @t38 () (|tptp.'equivalent_matrices$'| @t33 @t32)) % 45.89/46.38 (define @t39 () (= @t38 @t37)) % 45.89/46.38 (define @t40 () (forall (@list @t33 @t32) @t39)) % 45.89/46.38 (define @t41 () (@var "A__questionmark_v3" |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (define @t42 () (@list @t3 @t32)) % 45.89/46.38 (define @t43 () (|tptp.'matrix_matrix_mult$b'| @t3 @t15)) % 45.89/46.38 (define @t44 () (|tptp.'matrix_matrix_mult$f'| @t24 @t1)) % 45.89/46.38 (define @t45 () (|tptp.'invertible$a'| @t24)) % 45.89/46.38 (define @t46 () (|tptp.'matrix_matrix_mult$'| @t33 @t1)) % 45.89/46.38 (define @t47 () (|tptp.'invertible$c'| @t33)) % 45.89/46.38 (define @t48 () (@list @t33 @t1)) % 45.89/46.38 (define @t49 () (|tptp.'matrix_matrix_mult$a'| @t3 @t32)) % 45.89/46.38 (define @t50 () (@var "A__questionmark_v2" |tptp.'A_n_vec_m_vec$'|)) % 45.89/46.38 (define @t51 () (|tptp.'matrix_matrix_mult$'| @t32 @t19)) % 45.89/46.38 (define @t52 () (|tptp.'matrix_matrix_mult$a'| @t15 @t50)) % 45.89/46.38 (define @t53 () (@var "A__questionmark_v0" |tptp.'A_m_vec$'|)) % 45.89/46.38 (define @t54 () (@list @t33)) % 45.89/46.38 (define @t55 () (@list @t3)) % 45.89/46.38 (define @t56 () (@list @t24)) % 45.89/46.38 (define @t57 () (|tptp.'mat$'| |tptp.'one$'|)) % 45.89/46.38 (define @t58 () (|tptp.'matrix_inv$b'| @t24)) % 45.89/46.38 (define @t59 () (|tptp.'mat$a'| |tptp.'one$'|)) % 45.89/46.38 (define @t60 () (= (|tptp.'matrix_matrix_mult$b'| @t15 @t3) @t59)) % 45.89/46.38 (define @t61 () (= @t43 @t59)) % 45.89/46.38 (define @t62 () (and @t61 @t60)) % 45.89/46.38 (define @t63 () (@list @t15)) % 45.89/46.38 (define @t64 () (= (|tptp.'matrix_matrix_mult$f'| @t1 @t24) @t57)) % 45.89/46.38 (define @t65 () (@list @t1)) % 45.89/46.38 (define @t66 () (= @t44 @t57)) % 45.89/46.38 (define @t67 () (@var "A__questionmark_v0" |tptp.'A$'|)) % 45.89/46.38 (define @t68 () (not (= @t67 |tptp.'zero$c'|))) % 45.89/46.38 (define @t69 () (@list @t67)) % 45.89/46.38 (define @t70 () (@var "A__questionmark_v1" |tptp.'M$'|)) % 45.89/46.38 (define @t71 () (@list @t67 @t70)) % 45.89/46.38 (define @t72 () (@var "A__questionmark_v1" |tptp.'N$'|)) % 45.89/46.38 (define @t73 () (@list @t67 @t72)) % 45.89/46.38 (define @t74 () (@var "A__questionmark_v0" Int)) % 45.89/46.38 (define @t75 () (= @t74 0)) % 45.89/46.38 (define @t76 () (@list @t74)) % 45.89/46.38 (define @t77 () (@var "A__questionmark_v0" Real)) % 45.89/46.38 (define @t78 () (= @t77 0/1)) % 45.89/46.38 (define @t79 () (@list @t77)) % 45.89/46.38 (define @t80 () (= @t74 1)) % 45.89/46.38 (define @t81 () (= @t77 1/1)) % 45.89/46.38 (define @t82 () (@var "A__questionmark_v1" |tptp.'A$'|)) % 45.89/46.38 (define @t83 () (@var "A__questionmark_v0" |tptp.'M$'|)) % 45.89/46.38 (define @t84 () (@var "A__questionmark_v2" |tptp.'A$'|)) % 45.89/46.38 (define @t85 () (not (= @t83 @t70))) % 45.89/46.38 (define @t86 () (@list @t83 @t70 @t84)) % 45.89/46.38 (define @t87 () (@var "A__questionmark_v0" |tptp.'N$'|)) % 45.89/46.38 (define @t88 () (not (= @t87 @t72))) % 45.89/46.38 (define @t89 () (@list @t87 @t72 @t84)) % 45.89/46.38 (define @t90 () (@var "A__questionmark_v3" |tptp.'A$'|)) % 45.89/46.38 (define @t91 () (@var "A__questionmark_v2" |tptp.'N$'|)) % 45.89/46.38 (define @t92 () (@list @t83 @t70)) % 45.89/46.38 (define @t93 () (@list @t87 @t72)) % 45.89/46.38 (define @t94 () (|tptp.'row_add$'| @t59 @t83 @t70 @t84)) % 45.89/46.38 (define @t95 () (@var "A__questionmark_v2" |tptp.'M$'|)) % 45.89/46.38 (define @t96 () (and (= (|tptp.'times$'| @t67 @t82) |tptp.'one$'|) (= (|tptp.'times$'| @t82 @t67) |tptp.'one$'|))) % 45.89/46.38 (define @t97 () (@list @t67 @t82 @t95)) % 45.89/46.38 (define @t98 () (@list @t67 @t82 @t91)) % 45.89/46.38 (define @t99 () (@var "A__questionmark_v1" Real)) % 45.89/46.38 (define @t100 () (= @t99 0/1)) % 45.89/46.38 (define @t101 () (or @t78 @t100)) % 45.89/46.38 (define @t102 () (|tptp.'times$a'| @t77 @t99)) % 45.89/46.38 (define @t103 () (= @t102 0/1)) % 45.89/46.38 (define @t104 () (@list @t77 @t99)) % 45.89/46.38 (define @t105 () (@var "A__questionmark_v2" Real)) % 45.89/46.38 (define @t106 () (= @t99 @t105)) % 45.89/46.38 (define @t107 () (|tptp.'times$a'| @t77 @t105)) % 45.89/46.38 (define @t108 () (= @t102 @t107)) % 45.89/46.38 (define @t109 () (@list @t77 @t99 @t105)) % 45.89/46.38 (define @t110 () (= @t77 @t105)) % 45.89/46.38 (define @t111 () (|tptp.'times$a'| @t105 @t99)) % 45.89/46.38 (define @t112 () (= @t102 @t111)) % 45.89/46.38 (define @t113 () (@var "A__questionmark_v2" Int)) % 45.89/46.38 (define @t114 () (@var "A__questionmark_v1" Int)) % 45.89/46.38 (define @t115 () (= @t114 0)) % 45.89/46.38 (define @t116 () (|tptp.'times$b'| @t113 @t114)) % 45.89/46.38 (define @t117 () (|tptp.'times$b'| @t74 @t114)) % 45.89/46.38 (define @t118 () (@list @t74 @t114 @t113)) % 45.89/46.38 (define @t119 () (@var "A__questionmark_v2" |tptp.'Nat$'|)) % 45.89/46.38 (define @t120 () (@var "A__questionmark_v0" |tptp.'Nat$'|)) % 45.89/46.38 (define @t121 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 45.89/46.38 (define @t122 () (= @t121 |tptp.'zero$d'|)) % 45.89/46.38 (define @t123 () (|tptp.'times$c'| @t119)) % 45.89/46.38 (define @t124 () (|tptp.'fun_app$'| @t123 @t121)) % 45.89/46.38 (define @t125 () (|tptp.'times$c'| @t120)) % 45.89/46.38 (define @t126 () (|tptp.'fun_app$'| @t125 @t121)) % 45.89/46.38 (define @t127 () (@list @t120 @t121 @t119)) % 45.89/46.38 (define @t128 () (or @t100 @t110)) % 45.89/46.38 (define @t129 () (= @t114 @t113)) % 45.89/46.38 (define @t130 () (|tptp.'times$b'| @t74 @t113)) % 45.89/46.38 (define @t131 () (= @t117 @t130)) % 45.89/46.38 (define @t132 () (= @t121 @t119)) % 45.89/46.38 (define @t133 () (= @t120 |tptp.'zero$d'|)) % 45.89/46.38 (define @t134 () (|tptp.'fun_app$'| @t125 @t119)) % 45.89/46.38 (define @t135 () (= @t126 @t134)) % 45.89/46.38 (define @t136 () (or @t78 @t106)) % 45.89/46.38 (define @t137 () (or @t75 @t115)) % 45.89/46.38 (define @t138 () (= @t117 0)) % 45.89/46.38 (define @t139 () (@list @t74 @t114)) % 45.89/46.38 (define @t140 () (or @t133 @t122)) % 45.89/46.38 (define @t141 () (= @t126 |tptp.'zero$d'|)) % 45.89/46.38 (define @t142 () (@list @t120 @t121)) % 45.89/46.38 (define @t143 () (@list @t120)) % 45.89/46.38 (define @t144 () (|tptp.'times$c'| |tptp.'zero$d'|)) % 45.89/46.38 (define @t145 () (|tptp.'times$c'| |tptp.'one$a'|)) % 45.89/46.38 (define @t146 () (= @t114 1)) % 45.89/46.38 (define @t147 () (or @t75 @t146)) % 45.89/46.38 (define @t148 () (|tptp.'times$b'| @t114 @t74)) % 45.89/46.38 (define @t149 () (= @t99 1/1)) % 45.89/46.38 (define @t150 () (or @t78 @t149)) % 45.89/46.38 (define @t151 () (|tptp.'times$a'| @t99 @t77)) % 45.89/46.38 (define @t152 () (|tptp.'times$b'| @t114 @t113)) % 45.89/46.38 (define @t153 () (|tptp.'times$b'| @t74 @t152)) % 45.89/46.38 (define @t154 () (|tptp.'times$c'| @t121)) % 45.89/46.38 (define @t155 () (|tptp.'fun_app$'| @t154 @t119)) % 45.89/46.38 (define @t156 () (|tptp.'fun_app$'| @t125 @t155)) % 45.89/46.38 (define @t157 () (|tptp.'times$a'| @t99 @t105)) % 45.89/46.38 (define @t158 () (|tptp.'times$a'| @t77 @t157)) % 45.89/46.38 (define @t159 () (|tptp.'times$a'| @t102 @t105)) % 45.89/46.38 (define @t160 () (|tptp.'fun_app$'| @t154 @t120)) % 45.89/46.38 (define @t161 () (not @t78)) % 45.89/46.38 (define @t162 () (|tptp.'times$a'| @t105 @t77)) % 45.89/46.38 (define @t163 () (= @t151 @t162)) % 45.89/46.38 (define @t164 () (|tptp.'times$b'| @t113 @t74)) % 45.89/46.38 (define @t165 () (not @t75)) % 45.89/46.38 (define @t166 () (|tptp.'fun_app$'| @t123 @t120)) % 45.89/46.38 (define @t167 () (not @t133)) % 45.89/46.38 (define @t168 () (not @t138)) % 45.89/46.38 (define @t169 () (and @t165 (not @t115))) % 45.89/46.38 (define @t170 () (not @t141)) % 45.89/46.38 (define @t171 () (and @t167 (not @t122))) % 45.89/46.38 (define @t172 () (not @t103)) % 45.89/46.38 (define @t173 () (not @t100)) % 45.89/46.38 (define @t174 () (and @t161 @t173)) % 45.89/46.38 (define @t175 () (|tptp.'times$b'| 0 @t114)) % 45.89/46.38 (define @t176 () (@var "A__questionmark_v0" tptp.tlbool)) % 45.89/46.38 (define @t177 () (= @t176 tptp.tltrue)) % 45.89/46.38 (define @t178 () (not @t177)) % 45.89/46.38 (define @t179 () (|tptp.'times$b'| 1 @t114)) % 45.89/46.38 (define @t180 () (|tptp.'fun_app$'| @t144 @t121)) % 45.89/46.38 (define @t181 () (|tptp.'fun_app$'| @t145 @t121)) % 45.89/46.38 (define @t182 () (|tptp.'times$a'| 0/1 @t99)) % 45.89/46.38 (define @t183 () (|tptp.'times$a'| 1/1 @t99)) % 45.89/46.38 (define @t184 () (|tptp.'of_nat$'| @t121)) % 45.89/46.38 (define @t185 () (= @t184 0)) % 45.89/46.38 (define @t186 () (|tptp.'of_nat$'| @t119)) % 45.89/46.38 (define @t187 () (|tptp.'of_nat$'| @t120)) % 45.89/46.38 (define @t188 () (|tptp.'times$b'| @t186 @t184)) % 45.89/46.38 (define @t189 () (|tptp.'times$b'| @t187 @t184)) % 45.89/46.38 (define @t190 () (= @t187 0)) % 45.89/46.38 (define @t191 () (= @t184 @t186)) % 45.89/46.38 (define @t192 () (|tptp.'times$b'| @t187 @t186)) % 45.89/46.38 (define @t193 () (= @t189 @t192)) % 45.89/46.38 (define @t194 () (@var "A__questionmark_v3" |tptp.'Int_set$'|)) % 45.89/46.38 (define @t195 () (@var "A__questionmark_v1" |tptp.'Int_set$'|)) % 45.89/46.38 (define @t196 () (@var "A__questionmark_v3" |tptp.'Nat_set$'|)) % 45.89/46.38 (define @t197 () (@var "A__questionmark_v1" |tptp.'Nat_set$'|)) % 45.89/46.38 (define @t198 () (@var "A__questionmark_v3" |tptp.'Real_set$'|)) % 45.89/46.38 (define @t199 () (@var "A__questionmark_v1" |tptp.'Real_set$'|)) % 45.89/46.38 (define @t200 () (and (|tptp.'member$b'| @t77 @t199) (|tptp.'member$b'| @t105 @t198))) % 45.89/46.38 (define @t201 () (@list @t77 @t199 @t105 @t198)) % 45.89/46.38 (define @t202 () (|tptp.'interchange_rows$'| @t59 @t83 @t70)) % 45.89/46.38 (define @t203 () (= @t184 1)) % 45.89/46.38 (define @t204 () (and (= @t187 1) @t203)) % 45.89/46.38 (define @t205 () (@var "A__questionmark_v2" |tptp.'Int_set$'|)) % 45.89/46.38 (define @t206 () (@var "A__questionmark_v4" Int)) % 45.89/46.38 (define @t207 () (@var "A__questionmark_v3" Int)) % 45.89/46.38 (define @t208 () (@var "A__questionmark_v2" |tptp.'Nat_set$'|)) % 45.89/46.38 (define @t209 () (@var "A__questionmark_v4" |tptp.'Nat$'|)) % 45.89/46.38 (define @t210 () (@var "A__questionmark_v3" |tptp.'Nat$'|)) % 45.89/46.38 (define @t211 () (@list @t210 @t209)) % 45.89/46.38 (define @t212 () (@var "A__questionmark_v2" |tptp.'Real_set$'|)) % 45.89/46.38 (define @t213 () (@var "A__questionmark_v4" Real)) % 45.89/46.38 (define @t214 () (@var "A__questionmark_v3" Real)) % 45.89/46.38 (define @t215 () (not @t190)) % 45.89/46.38 (define @t216 () (=> @t190 false)) % 45.89/46.38 (define @t217 () (|tptp.'powr$'| @t77 0/1)) % 45.89/46.38 (define @t218 () (|tptp.'powr$'| @t77 @t99)) % 45.89/46.38 (define @t219 () (= @t218 0/1)) % 45.89/46.38 (define @t220 () (@var "A__questionmark_v2" |tptp.'A_n_vec$'|)) % 45.89/46.38 (define @t221 () (|tptp.'matrix_vector_mult$'| @t46 @t220)) % 45.89/46.38 (define @t222 () (|tptp.'matrix_vector_mult$a'| @t1 @t220)) % 45.89/46.38 (define @t223 () (@list @t33 @t1 @t220)) % 45.89/46.38 (define @t224 () (|tptp.'matrix_vector_mult$'| @t49 @t220)) % 45.89/46.38 (define @t225 () (|tptp.'matrix_vector_mult$'| @t32 @t220)) % 45.89/46.38 (define @t226 () (@list @t3 @t32 @t220)) % 45.89/46.38 (define @t227 () (@var "A__questionmark_v1" |tptp.'A_n_vec$'|)) % 45.89/46.38 (define @t228 () (@var "A__questionmark_v1" |tptp.'A_m_vec$'|)) % 45.89/46.38 (define @t229 () (|tptp.'ln$'| @t77)) % 45.89/46.38 (define @t230 () (|tptp.'times$a'| @t99 @t229)) % 45.89/46.38 (define @t231 () (|tptp.'exp$'| @t77)) % 45.89/46.38 (define @t232 () (< 0 @t187)) % 45.89/46.38 (define @t233 () (< @t187 0)) % 45.89/46.38 (define @t234 () (< 0 @t184)) % 45.89/46.38 (define @t235 () (< @t184 @t186)) % 45.89/46.38 (define @t236 () (< @t189 @t192)) % 45.89/46.38 (define @t237 () (< @t74 @t114)) % 45.89/46.38 (define @t238 () (= @t74 @t114)) % 45.89/46.38 (define @t239 () (< @t99 @t77)) % 45.89/46.38 (define @t240 () (< @t77 @t99)) % 45.89/46.38 (define @t241 () (= @t77 @t99)) % 45.89/46.38 (define @t242 () (< @t184 @t187)) % 45.89/46.38 (define @t243 () (< @t187 @t184)) % 45.89/46.38 (define @t244 () (= @t187 @t184)) % 45.89/46.38 (define @t245 () (not @t244)) % 45.89/46.38 (define @t246 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|)) % 45.89/46.38 (define @t247 () (|tptp.'fun_app$a'| @t246 @t121)) % 45.89/46.38 (define @t248 () (|tptp.'fun_app$a'| @t246 @t210)) % 45.89/46.38 (define @t249 () (not @t248)) % 45.89/46.38 (define @t250 () (|tptp.'of_nat$'| @t210)) % 45.89/46.38 (define @t251 () (< @t250 @t186)) % 45.89/46.38 (define @t252 () (@list @t210)) % 45.89/46.38 (define @t253 () (exists @t252 (and @t251 @t249))) % 45.89/46.38 (define @t254 () (|tptp.'fun_app$a'| @t246 @t119)) % 45.89/46.38 (define @t255 () (not @t254)) % 45.89/46.38 (define @t256 () (@list @t119)) % 45.89/46.38 (define @t257 () (@list @t246 @t121)) % 45.89/46.38 (define @t258 () (< @t187 @t187)) % 45.89/46.38 (define @t259 () (< 0 @t186)) % 45.89/46.38 (define @t260 () (|tptp.'fun_app$a'| @t246 (|tptp.'nat$'| 0))) % 45.89/46.38 (define @t261 () (< 0 @t117)) % 45.89/46.38 (define @t262 () (< @t114 0)) % 45.89/46.38 (define @t263 () (< @t74 0)) % 45.89/46.38 (define @t264 () (and @t263 @t262)) % 45.89/46.38 (define @t265 () (< 0/1 @t102)) % 45.89/46.38 (define @t266 () (< @t99 0/1)) % 45.89/46.38 (define @t267 () (< @t77 0/1)) % 45.89/46.38 (define @t268 () (and @t267 @t266)) % 45.89/46.38 (define @t269 () (|tptp.'times$b'| @t74 @t74)) % 45.89/46.38 (define @t270 () (|tptp.'times$a'| @t77 @t77)) % 45.89/46.38 (define @t271 () (< 0 @t114)) % 45.89/46.38 (define @t272 () (and @t263 @t271)) % 45.89/46.38 (define @t273 () (< 0 @t74)) % 45.89/46.38 (define @t274 () (and @t273 @t262)) % 45.89/46.38 (define @t275 () (< @t117 0)) % 45.89/46.38 (define @t276 () (< 0/1 @t99)) % 45.89/46.38 (define @t277 () (and @t267 @t276)) % 45.89/46.38 (define @t278 () (< 0/1 @t77)) % 45.89/46.38 (define @t279 () (and @t278 @t266)) % 45.89/46.38 (define @t280 () (< @t102 0/1)) % 45.89/46.38 (define @t281 () (|tptp.'less$'| @t126)) % 45.89/46.38 (define @t282 () (|tptp.'fun_app$a'| @t281 |tptp.'zero$d'|)) % 45.89/46.38 (define @t283 () (|tptp.'less$'| |tptp.'zero$d'|)) % 45.89/46.38 (define @t284 () (|tptp.'fun_app$a'| @t283 @t121)) % 45.89/46.38 (define @t285 () (|tptp.'less$'| @t120)) % 45.89/46.38 (define @t286 () (|tptp.'less$'| @t121)) % 45.89/46.38 (define @t287 () (|tptp.'fun_app$a'| @t283 @t120)) % 45.89/46.38 (define @t288 () (and @t287 (|tptp.'fun_app$a'| @t286 |tptp.'zero$d'|))) % 45.89/46.38 (define @t289 () (|tptp.'fun_app$a'| @t283 @t126)) % 45.89/46.38 (define @t290 () (and @t273 @t271)) % 45.89/46.38 (define @t291 () (and @t278 @t276)) % 45.89/46.38 (define @t292 () (< @t113 @t114)) % 45.89/46.38 (define @t293 () (< @t117 @t130)) % 45.89/46.38 (define @t294 () (< @t105 @t99)) % 45.89/46.38 (define @t295 () (< @t102 @t107)) % 45.89/46.38 (define @t296 () (< @t114 @t113)) % 45.89/46.38 (define @t297 () (< @t99 @t105)) % 45.89/46.38 (define @t298 () (and @t237 (< @t113 0))) % 45.89/46.38 (define @t299 () (and @t240 (< @t105 0/1))) % 45.89/46.38 (define @t300 () (|tptp.'fun_app$a'| @t283 @t119)) % 45.89/46.38 (define @t301 () (|tptp.'fun_app$a'| @t285 @t121)) % 45.89/46.38 (define @t302 () (and @t301 @t300)) % 45.89/46.38 (define @t303 () (< 0 @t113)) % 45.89/46.38 (define @t304 () (and @t237 @t303)) % 45.89/46.38 (define @t305 () (< 0/1 @t105)) % 45.89/46.38 (define @t306 () (and @t240 @t305)) % 45.89/46.38 (define @t307 () (|tptp.'less$'| @t134)) % 45.89/46.38 (define @t308 () (< @t113 @t74)) % 45.89/46.38 (define @t309 () (< @t74 @t113)) % 45.89/46.38 (define @t310 () (< @t117 @t116)) % 45.89/46.38 (define @t311 () (< @t105 @t77)) % 45.89/46.38 (define @t312 () (< @t77 @t105)) % 45.89/46.38 (define @t313 () (< @t102 @t111)) % 45.89/46.38 (define @t314 () (|tptp.'less$'| |tptp.'one$a'|)) % 45.89/46.38 (define @t315 () (< 1 @t114)) % 45.89/46.38 (define @t316 () (< 1 @t74)) % 45.89/46.38 (define @t317 () (< 1/1 @t99)) % 45.89/46.38 (define @t318 () (< 1/1 @t77)) % 45.89/46.38 (define @t319 () (|tptp.'times$b'| @t186 @t187)) % 45.89/46.38 (define @t320 () (and @t243 @t259)) % 45.89/46.38 (define @t321 () (|tptp.'times$b'| @t184 @t186)) % 45.89/46.38 (define @t322 () (|tptp.'ln$'| @t99)) % 45.89/46.38 (define @t323 () (|tptp.'powr$'| @t77 @t105)) % 45.89/46.38 (define @t324 () (< @t218 @t323)) % 45.89/46.38 (define @t325 () (|tptp.'exp$'| @t99)) % 45.89/46.38 (define @t326 () (< @t231 @t325)) % 45.89/46.38 (define @t327 () (< 0/1 @t229)) % 45.89/46.38 (define @t328 () (< @t77 1/1)) % 45.89/46.38 (define @t329 () (< @t229 0/1)) % 45.89/46.38 (define @t330 () (= (|tptp.'exp$'| @t229) @t77)) % 45.89/46.38 (define @t331 () (< 1/1 @t231)) % 45.89/46.38 (define @t332 () (|tptp.'powr$'| @t99 @t77)) % 45.89/46.38 (define @t333 () (|tptp.'powr$'| @t105 @t77)) % 45.89/46.38 (define @t334 () (|tptp.'powr$'| @t105 @t99)) % 45.89/46.38 (define @t335 () (and @t318 @t276)) % 45.89/46.38 (define @t336 () (@list @t105)) % 45.89/46.38 (define @t337 () (|tptp.'powr$'| @t218 @t105)) % 45.89/46.38 (define @t338 () (|tptp.'norm$'| @t77)) % 45.89/46.38 (define @t339 () (|tptp.'times$a'| @t338 (|tptp.'norm$'| @t99))) % 45.89/46.38 (define @t340 () (|tptp.'norm$'| @t102)) % 45.89/46.38 (define @t341 () (|tptp.'times$a'| @t99 @t214)) % 45.89/46.38 (define @t342 () (@list @t77 @t99 @t105 @t214)) % 45.89/46.38 (define @t343 () (<= @t77 1/1)) % 45.89/46.38 (define @t344 () (<= 1/1 @t77)) % 45.89/46.38 (define @t345 () (<= 0/1 @t229)) % 45.89/46.38 (define @t346 () (<= @t77 @t99)) % 45.89/46.38 (define @t347 () (<= 0/1 @t77)) % 45.89/46.38 (define @t348 () (= (|tptp.'powr$'| @t77 1/1) @t77)) % 45.89/46.38 (define @t349 () (<= @t99 @t105)) % 45.89/46.38 (define @t350 () (<= @t77 0/1)) % 45.89/46.38 (define @t351 () (|tptp.'fun_app$'| @t154 @t210)) % 45.89/46.38 (define @t352 () (|tptp.'less_eq$'| @t134)) % 45.89/46.38 (define @t353 () (|tptp.'fun_app$a'| @t352 @t351)) % 45.89/46.38 (define @t354 () (|tptp.'less_eq$'| |tptp.'zero$d'|)) % 45.89/46.38 (define @t355 () (|tptp.'fun_app$a'| @t354 @t119)) % 45.89/46.38 (define @t356 () (|tptp.'fun_app$a'| @t354 @t121)) % 45.89/46.38 (define @t357 () (|tptp.'fun_app$a'| (|tptp.'less_eq$'| @t119) @t210)) % 45.89/46.38 (define @t358 () (|tptp.'less_eq$'| @t120)) % 45.89/46.38 (define @t359 () (|tptp.'fun_app$a'| @t358 @t121)) % 45.89/46.38 (define @t360 () (@list @t120 @t121 @t119 @t210)) % 45.89/46.38 (define @t361 () (<= @t107 @t341)) % 45.89/46.38 (define @t362 () (<= 0/1 @t105)) % 45.89/46.38 (define @t363 () (<= 0/1 @t99)) % 45.89/46.38 (define @t364 () (<= @t105 @t214)) % 45.89/46.38 (define @t365 () (|tptp.'times$b'| @t114 @t207)) % 45.89/46.38 (define @t366 () (<= @t130 @t365)) % 45.89/46.38 (define @t367 () (<= 0 @t113)) % 45.89/46.38 (define @t368 () (<= 0 @t114)) % 45.89/46.38 (define @t369 () (<= @t113 @t207)) % 45.89/46.38 (define @t370 () (<= @t74 @t114)) % 45.89/46.38 (define @t371 () (@list @t74 @t114 @t113 @t207)) % 45.89/46.38 (define @t372 () (|tptp.'fun_app$a'| @t354 @t120)) % 45.89/46.38 (define @t373 () (<= 0 @t74)) % 45.89/46.38 (define @t374 () (<= 0/1 @t102)) % 45.89/46.38 (define @t375 () (<= @t99 0/1)) % 45.89/46.38 (define @t376 () (and @t350 @t375)) % 45.89/46.38 (define @t377 () (and @t347 @t363)) % 45.89/46.38 (define @t378 () (or @t377 @t376)) % 45.89/46.38 (define @t379 () (<= 0 @t117)) % 45.89/46.38 (define @t380 () (<= @t114 0)) % 45.89/46.38 (define @t381 () (<= @t74 0)) % 45.89/46.38 (define @t382 () (and @t381 @t380)) % 45.89/46.38 (define @t383 () (and @t373 @t368)) % 45.89/46.38 (define @t384 () (or @t383 @t382)) % 45.89/46.38 (define @t385 () (and @t346 (<= @t105 0/1))) % 45.89/46.38 (define @t386 () (and @t370 (<= @t113 0))) % 45.89/46.38 (define @t387 () (and @t359 @t355)) % 45.89/46.38 (define @t388 () (and @t346 @t362)) % 45.89/46.38 (define @t389 () (and @t370 @t367)) % 45.89/46.38 (define @t390 () (and @t350 @t363)) % 45.89/46.38 (define @t391 () (and @t347 @t375)) % 45.89/46.38 (define @t392 () (or @t391 @t390)) % 45.89/46.38 (define @t393 () (<= @t102 0/1)) % 45.89/46.38 (define @t394 () (and @t381 @t368)) % 45.89/46.38 (define @t395 () (and @t373 @t380)) % 45.89/46.38 (define @t396 () (or @t395 @t394)) % 45.89/46.38 (define @t397 () (<= @t117 0)) % 45.89/46.38 (define @t398 () (|tptp.'less_eq$'| @t126)) % 45.89/46.38 (define @t399 () (|tptp.'fun_app$a'| @t398 |tptp.'zero$d'|)) % 45.89/46.38 (define @t400 () (and (|tptp.'fun_app$a'| @t358 |tptp.'zero$d'|) @t356)) % 45.89/46.38 (define @t401 () (|tptp.'less_eq$'| @t121)) % 45.89/46.38 (define @t402 () (and @t372 (|tptp.'fun_app$a'| @t401 |tptp.'zero$d'|))) % 45.89/46.38 (define @t403 () (|tptp.'less_eq$'| @t160)) % 45.89/46.38 (define @t404 () (<= 1/1 @t105)) % 45.89/46.38 (define @t405 () (<= @t105 @t99)) % 45.89/46.38 (define @t406 () (<= @t102 @t107)) % 45.89/46.38 (define @t407 () (<= @t113 @t114)) % 45.89/46.38 (define @t408 () (<= @t114 @t113)) % 45.89/46.38 (define @t409 () (<= @t117 @t130)) % 45.89/46.38 (define @t410 () (<= @t77 @t105)) % 45.89/46.38 (define @t411 () (<= @t102 @t111)) % 45.89/46.38 (define @t412 () (<= @t74 @t113)) % 45.89/46.38 (define @t413 () (<= @t117 @t116)) % 45.89/46.38 (define @t414 () (|tptp.'fun_app$a'| @t307 @t351)) % 45.89/46.38 (define @t415 () (|tptp.'fun_app$a'| (|tptp.'less$'| @t119) @t210)) % 45.89/46.38 (define @t416 () (< @t107 @t341)) % 45.89/46.38 (define @t417 () (< @t105 @t214)) % 45.89/46.38 (define @t418 () (< @t130 @t365)) % 45.89/46.38 (define @t419 () (< @t113 @t207)) % 45.89/46.38 (define @t420 () (<= @t99 1/1)) % 45.89/46.38 (define @t421 () (and @t347 @t363 @t420)) % 45.89/46.38 (define @t422 () (<= @t114 1)) % 45.89/46.38 (define @t423 () (and @t373 @t368 @t422)) % 45.89/46.38 (define @t424 () (<= @t102 @t77)) % 45.89/46.38 (define @t425 () (<= @t117 @t74)) % 45.89/46.38 (define @t426 () (|tptp.'fun_app$a'| @t401 |tptp.'one$a'|)) % 45.89/46.38 (define @t427 () (|tptp.'fun_app$a'| @t358 |tptp.'one$a'|)) % 45.89/46.38 (define @t428 () (<= @t74 1)) % 45.89/46.38 (define @t429 () (|tptp.'powr$'| @t214 @t99)) % 45.89/46.38 (define @t430 () (< @t99 1/1)) % 45.89/46.38 (define @t431 () (and (=> @t347 @t317) (=> @t350 @t430))) % 45.89/46.38 (define @t432 () (< @t114 1)) % 45.89/46.38 (define @t433 () (and (=> @t373 @t315) (=> @t381 @t432))) % 45.89/46.38 (define @t434 () (<= 1/1 @t99)) % 45.89/46.38 (define @t435 () (and (=> @t278 @t434) (=> @t267 @t420))) % 45.89/46.38 (define @t436 () (<= 1 @t114)) % 45.89/46.38 (define @t437 () (and (=> @t273 @t436) (=> @t263 @t422))) % 45.89/46.38 (define @t438 () (<= 0 @t187)) % 45.89/46.38 (define @t439 () (<= @t184 @t186)) % 45.89/46.38 (define @t440 () (<= @t189 @t192)) % 45.89/46.38 (define @t441 () (<= @t187 @t186)) % 45.89/46.38 (define @t442 () (<= @t187 0)) % 45.89/46.38 (define @t443 () (<= @t187 @t184)) % 45.89/46.38 (define @t444 () (|tptp.'times$b'| @t187 @t187)) % 45.89/46.38 (define @t445 () (@var "A__questionmark_v0" |tptp.'Nat_nat_fun$'|)) % 45.89/46.38 (define @t446 () (|tptp.'of_nat$'| @t209)) % 45.89/46.38 (define @t447 () (and @t443 @t245)) % 45.89/46.38 (define @t448 () (or @t243 @t244)) % 45.89/46.38 (define @t449 () (|tptp.'orthogonal$'| @t77)) % 45.89/46.38 (define @t450 () (<= @t184 @t187)) % 45.89/46.38 (define @t451 () (+ @t77 @t99)) % 45.89/46.38 (define @t452 () (+ @t77 @t105)) % 45.89/46.38 (define @t453 () (+ @t105 @t99)) % 45.89/46.38 (define @t454 () (<= @t451 @t453)) % 45.89/46.38 (define @t455 () (+ @t113 @t114)) % 45.89/46.38 (define @t456 () (+ @t74 @t114)) % 45.89/46.38 (define @t457 () (<= @t456 @t455)) % 45.89/46.38 (define @t458 () (<= @t451 @t452)) % 45.89/46.38 (define @t459 () (+ @t74 @t113)) % 45.89/46.38 (define @t460 () (<= @t456 @t459)) % 45.89/46.38 (define @t461 () (+ @t74 @t74)) % 45.89/46.38 (define @t462 () (+ @t77 @t77)) % 45.89/46.38 (define @t463 () (+ @t114 @t74)) % 45.89/46.38 (define @t464 () (+ @t99 @t77)) % 45.89/46.38 (define @t465 () (|tptp.'divide$a'| @t74)) % 45.89/46.38 (define @t466 () (|tptp.'divide$'| @t77)) % 45.89/46.38 (define @t467 () (|tptp.'fun_app$c'| @t466 @t99)) % 45.89/46.38 (define @t468 () (|tptp.'fun_app$c'| @t466 @t105)) % 45.89/46.38 (define @t469 () (|tptp.'fun_app$c'| (|tptp.'divide$'| @t107) @t99)) % 45.89/46.38 (define @t470 () (|tptp.'divide$'| @t99)) % 45.89/46.38 (define @t471 () (|tptp.'fun_app$c'| @t470 @t105)) % 45.89/46.38 (define @t472 () (|tptp.'divide$'| @t102)) % 45.89/46.38 (define @t473 () (|tptp.'fun_app$c'| @t470 @t77)) % 45.89/46.38 (define @t474 () (|tptp.'divide$'| @t151)) % 45.89/46.38 (define @t475 () (|tptp.'fun_app$c'| @t472 @t107)) % 45.89/46.38 (define @t476 () (=> @t161 (= @t475 @t471))) % 45.89/46.38 (define @t477 () (|tptp.'fun_app$c'| @t466 @t77)) % 45.89/46.38 (define @t478 () (=> @t161 (= @t477 1/1))) % 45.89/46.38 (define @t479 () (|tptp.'divide$'| 1/1)) % 45.89/46.38 (define @t480 () (|tptp.'fun_app$c'| @t479 @t77)) % 45.89/46.38 (define @t481 () (and @t173 (= @t99 @t77))) % 45.89/46.38 (define @t482 () (= 1/1 @t467)) % 45.89/46.38 (define @t483 () (= @t467 1/1)) % 45.89/46.38 (define @t484 () (and @t173 @t241)) % 45.89/46.38 (define @t485 () (< 1/1 @t473)) % 45.89/46.38 (define @t486 () (< @t473 1/1)) % 45.89/46.38 (define @t487 () (|tptp.'fun_app$c'| @t479 @t99)) % 45.89/46.38 (define @t488 () (<= @t473 1/1)) % 45.89/46.38 (define @t489 () (<= @t99 @t77)) % 45.89/46.38 (define @t490 () (<= 1/1 @t473)) % 45.89/46.38 (define @t491 () (<= 0/1 @t467)) % 45.89/46.38 (define @t492 () (<= @t467 0/1)) % 45.89/46.38 (define @t493 () (<= @t452 (+ @t99 @t214))) % 45.89/46.38 (define @t494 () (<= @t459 (+ @t114 @t207))) % 45.89/46.38 (define @t495 () (|tptp.'of_nat$'| (|tptp.'nat$'| @t74))) % 45.89/46.38 (define @t496 () (@var "B" tptp.tlbool)) % 45.89/46.38 (define @t497 () (not @t2)) % 45.89/46.38 (define @t498 () (not @t4)) % 45.89/46.38 (define @t499 () (not @t6)) % 45.89/46.38 (define @t500 () (or @t499 @t498 @t497)) % 45.89/46.38 (define @t501 () (forall @t8 @t500)) % 45.89/46.38 (define @t502 () (or |tptp.'thesis$'| @t500)) % 45.89/46.38 (define @t503 () (or @t499 @t498 @t497 |tptp.'thesis$'|)) % 45.89/46.38 (define @t504 () (not @t25)) % 45.89/46.38 (define @t505 () (not @t30)) % 45.89/46.38 (define @t506 () (not (= |tptp.'b$'| (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_matrix_mult$a'| @t28 |tptp.'a$'|) @t23)))) % 45.89/46.38 (define @t507 () (or @t506 @t505 @t504)) % 45.89/46.38 (define @t508 () (or @t505 @t504 @t506)) % 45.89/46.38 (define @t509 () (forall @t36 @t508)) % 45.89/46.38 (define @t510 () (forall @t36 @t507)) % 45.89/46.38 (define @t511 () (not @t34)) % 45.89/46.38 (define @t512 () (forall @t36 (not @t35))) % 45.89/46.38 (define @t513 () (not @t512)) % 45.89/46.38 (define @t514 () (not @t509)) % 45.89/46.38 (define @t515 () (= @t10 @t514)) % 45.89/46.38 (assume @p1 (not |tptp.'thesis$'|)) % 45.89/46.38 (assume @p2 @t9) % 45.89/46.38 (assume @p3 @t10) % 45.89/46.38 (assume @p4 (forall @t18 (= (|tptp.'equivalent_matrices$a'| @t12 @t15) (exists (@list @t13 @t11) (and @t17 @t16 (= @t15 (|tptp.'matrix_matrix_mult$b'| (|tptp.'matrix_matrix_mult$c'| @t14 @t12) @t11))))))) % 45.89/46.38 (assume @p5 (forall (@list @t12 @t21) (= (|tptp.'equivalent_matrices$b'| @t12 @t21) (exists (@list @t19 @t11) (and @t22 @t16 (= @t21 (|tptp.'matrix_matrix_mult$d'| (|tptp.'matrix_matrix_mult$e'| @t20 @t12) @t11))))))) % 45.89/46.38 (assume @p6 (forall @t26 (= (|tptp.'equivalent_matrices$c'| @t24 @t1) (exists (@list @t19 @t23) (and @t22 @t25 (= @t1 (|tptp.'matrix_matrix_mult$f'| (|tptp.'matrix_matrix_mult$f'| @t20 @t24) @t23))))))) % 45.89/46.38 (assume @p7 (forall @t31 (= (|tptp.'equivalent_matrices$d'| @t3 @t15) (exists (@list @t27 @t11) (and @t30 @t16 (= @t15 (|tptp.'matrix_matrix_mult$b'| @t29 @t11))))))) % 45.89/46.38 (assume @p8 (forall (@list @t24 @t32) (= (|tptp.'equivalent_matrices$e'| @t24 @t32) (exists (@list @t13 @t23) (and @t17 @t25 (= @t32 (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_matrix_mult$'| @t14 @t24) @t23))))))) % 45.89/46.38 (assume @p9 @t40) % 45.89/46.38 (assume @p10 (forall @t42 (= (|tptp.'equivalent_matrices$f'| @t3 @t32) (exists (@list @t27 @t41) (and @t30 (|tptp.'invertible$c'| @t41) (= @t32 (|tptp.'matrix_matrix_mult$a'| @t29 @t41))))))) % 45.89/46.38 (assume @p11 (forall @t31 (=> (and @t4 (|tptp.'invertible$'| @t15)) (|tptp.'invertible$'| @t43)))) % 45.89/46.38 (assume @p12 (forall @t26 (=> (and @t45 @t2) (|tptp.'invertible$a'| @t44)))) % 45.89/46.38 (assume @p13 (forall @t48 (=> (and @t47 @t2) (|tptp.'invertible$c'| @t46)))) % 45.89/46.38 (assume @p14 (forall @t42 (=> (and @t4 (|tptp.'invertible$c'| @t32)) (|tptp.'invertible$c'| @t49)))) % 45.89/46.38 (assume @p15 (forall (@list @t33 @t1 @t19) (= (|tptp.'matrix_matrix_mult$'| @t33 (|tptp.'matrix_matrix_mult$f'| @t1 @t19)) (|tptp.'matrix_matrix_mult$'| @t46 @t19)))) % 45.89/46.38 (assume @p16 (forall (@list @t33 @t21 @t50) (= (|tptp.'matrix_matrix_mult$'| @t33 (|tptp.'matrix_matrix_mult$g'| @t21 @t50)) (|tptp.'matrix_matrix_mult$a'| (|tptp.'matrix_matrix_mult$c'| @t33 @t21) @t50)))) % 45.89/46.38 (assume @p17 (forall (@list @t3 @t32 @t19) (= (|tptp.'matrix_matrix_mult$a'| @t3 @t51) (|tptp.'matrix_matrix_mult$'| @t49 @t19)))) % 45.89/46.38 (assume @p18 (forall (@list @t3 @t15 @t50) (= (|tptp.'matrix_matrix_mult$a'| @t3 @t52) (|tptp.'matrix_matrix_mult$a'| @t43 @t50)))) % 45.89/46.38 (assume @p19 (forall @t48 (=> @t47 (= (|tptp.'null_space$'| @t46) (|tptp.'null_space$a'| @t1))))) % 45.89/46.38 (assume @p20 (forall @t42 (=> @t4 (= (|tptp.'null_space$'| @t49) (|tptp.'null_space$'| @t32))))) % 45.89/46.38 (assume @p21 (forall (@list @t53 @t32 @t19) (= (|tptp.'vector_matrix_mult$'| (|tptp.'vector_matrix_mult$a'| @t53 @t32) @t19) (|tptp.'vector_matrix_mult$a'| @t53 @t51)))) % 45.89/46.38 (assume @p22 (forall (@list @t53 @t15 @t50) (= (|tptp.'vector_matrix_mult$a'| (|tptp.'vector_matrix_mult$b'| @t53 @t15) @t50) (|tptp.'vector_matrix_mult$a'| @t53 @t52)))) % 45.89/46.38 (assume @p23 (forall @t54 (= (|tptp.'matrix_matrix_mult$'| @t33 |tptp.'zero$'|) |tptp.'zero$a'|))) % 45.89/46.38 (assume @p24 (forall @t55 (= (|tptp.'matrix_matrix_mult$a'| @t3 |tptp.'zero$a'|) |tptp.'zero$a'|))) % 45.89/46.38 (assume @p25 (forall @t56 (= (|tptp.'matrix_matrix_mult$'| |tptp.'zero$a'| @t24) |tptp.'zero$a'|))) % 45.89/46.38 (assume @p26 (forall @t54 (= (|tptp.'matrix_matrix_mult$a'| |tptp.'zero$b'| @t33) |tptp.'zero$a'|))) % 45.89/46.38 (assume @p27 (forall @t56 (=> @t45 (= (|tptp.'matrix_matrix_mult$f'| @t24 @t58) @t57)))) % 45.89/46.38 (assume @p28 (forall @t55 (=> @t4 (= (|tptp.'matrix_matrix_mult$b'| @t3 @t5) @t59)))) % 45.89/46.38 (assume @p29 (forall @t56 (=> @t45 (= (|tptp.'matrix_matrix_mult$f'| @t58 @t24) @t57)))) % 45.89/46.38 (assume @p30 (forall @t55 (=> @t4 (= (|tptp.'matrix_matrix_mult$b'| @t5 @t3) @t59)))) % 45.89/46.38 (assume @p31 (forall @t54 (= (|tptp.'matrix_matrix_mult$'| @t33 @t57) @t33))) % 45.89/46.38 (assume @p32 (forall @t54 (= (|tptp.'matrix_matrix_mult$a'| @t59 @t33) @t33))) % 45.89/46.38 (assume @p33 (forall @t31 (=> @t62 (= @t5 @t15)))) % 45.89/46.38 (assume @p34 (forall @t55 (= @t4 (exists @t63 @t60)))) % 45.89/46.39 (assume @p35 (forall @t56 (= @t45 (exists @t65 @t64)))) % 45.89/46.39 (assume @p36 (forall @t55 (= @t4 (exists @t63 @t62)))) % 45.89/46.39 (assume @p37 (forall @t56 (= @t45 (exists @t65 (and @t66 @t64))))) % 45.89/46.39 (assume @p38 (forall @t55 (= @t4 (exists @t63 @t61)))) % 45.89/46.39 (assume @p39 (forall @t56 (= @t45 (exists @t65 @t66)))) % 45.89/46.39 (assume @p40 (|tptp.'invertible$'| @t59)) % 45.89/46.39 (assume @p41 (|tptp.'invertible$a'| @t57)) % 45.89/46.39 (assume @p42 (forall @t69 (=> @t68 (|tptp.'invertible$'| (|tptp.'mat$a'| @t67))))) % 45.89/46.39 (assume @p43 (forall @t69 (=> @t68 (|tptp.'invertible$a'| (|tptp.'mat$'| @t67))))) % 45.89/46.39 (assume @p44 (not (= 0 1))) % 45.89/46.39 (assume @p45 (not (= 0/1 1/1))) % 45.89/46.39 (assume @p46 (forall @t71 (=> @t68 (|tptp.'invertible$'| (|tptp.'mult_column$'| @t59 @t70 @t67))))) % 45.89/46.39 (assume @p47 (forall @t73 (=> @t68 (|tptp.'invertible$a'| (|tptp.'mult_column$a'| @t57 @t72 @t67))))) % 45.89/46.39 (assume @p48 (= (|tptp.'arcosh$'| 1/1) 0/1)) % 45.89/46.39 (assume @p49 (forall @t71 (=> @t68 (|tptp.'invertible$'| (|tptp.'mult_row$'| @t59 @t70 @t67))))) % 45.89/46.39 (assume @p50 (forall @t73 (=> @t68 (|tptp.'invertible$a'| (|tptp.'mult_row$a'| @t57 @t72 @t67))))) % 45.89/46.39 (assume @p51 (forall @t76 (= (= 0 @t74) @t75))) % 45.89/46.39 (assume @p52 (forall @t79 (= (= 0/1 @t77) @t78))) % 45.89/46.39 (assume @p53 (forall @t76 (= (= 1 @t74) @t80))) % 45.89/46.39 (assume @p54 (forall @t79 (= (= 1/1 @t77) @t81))) % 45.89/46.39 (assume @p55 (forall (@list @t83 @t82 @t50) (= (|tptp.'matrix_matrix_mult$a'| (|tptp.'mult_row$'| @t59 @t83 @t82) @t50) (|tptp.'mult_row$b'| @t50 @t83 @t82)))) % 45.89/46.39 (assume @p56 (forall (@list @t33 @t72 @t84) (= (|tptp.'matrix_matrix_mult$'| @t33 (|tptp.'mult_column$a'| @t57 @t72 @t84)) (|tptp.'mult_column$b'| @t33 @t72 @t84)))) % 45.89/46.39 (assume @p57 (= (|tptp.'arsinh$'| 0/1) 0/1)) % 45.89/46.39 (assume @p58 (= (|tptp.'artanh$'| 0/1) 0/1)) % 45.89/46.39 (assume @p59 (= (|tptp.'ln$'| 1/1) 0/1)) % 45.89/46.39 (assume @p60 (forall @t86 (=> @t85 (|tptp.'invertible$'| (|tptp.'column_add$'| @t59 @t83 @t70 @t84))))) % 45.89/46.39 (assume @p61 (forall @t89 (=> @t88 (|tptp.'invertible$a'| (|tptp.'column_add$a'| @t57 @t87 @t72 @t84))))) % 45.89/46.39 (assume @p62 (forall (@list @t33 @t72 @t91 @t90) (= (|tptp.'matrix_matrix_mult$'| @t33 (|tptp.'column_add$a'| @t57 @t72 @t91 @t90)) (|tptp.'column_add$b'| @t33 @t72 @t91 @t90)))) % 45.89/46.39 (assume @p63 (forall @t92 (|tptp.'invertible$'| (|tptp.'interchange_columns$'| @t59 @t83 @t70)))) % 45.89/46.39 (assume @p64 (forall @t93 (|tptp.'invertible$a'| (|tptp.'interchange_columns$a'| @t57 @t87 @t72)))) % 45.89/46.39 (assume @p65 (forall (@list @t33 @t72 @t91) (= (|tptp.'matrix_matrix_mult$'| @t33 (|tptp.'interchange_columns$a'| @t57 @t72 @t91)) (|tptp.'interchange_columns$b'| @t33 @t72 @t91)))) % 45.89/46.39 (assume @p66 (forall @t86 (=> @t85 (|tptp.'invertible$'| @t94)))) % 45.89/46.39 (assume @p67 (forall @t89 (=> @t88 (|tptp.'invertible$a'| (|tptp.'row_add$a'| @t57 @t87 @t72 @t84))))) % 45.89/46.39 (assume @p68 (forall (@list @t83 @t70 @t84 @t41) (= (|tptp.'matrix_matrix_mult$a'| @t94 @t41) (|tptp.'row_add$b'| @t41 @t83 @t70 @t84)))) % 45.89/46.39 (assume @p69 (forall @t97 (=> @t96 (|tptp.'invertible$'| (|tptp.'mult_column$'| @t59 @t95 @t67))))) % 45.89/46.39 (assume @p70 (forall @t98 (=> @t96 (|tptp.'invertible$a'| (|tptp.'mult_column$a'| @t57 @t91 @t67))))) % 45.89/46.39 (assume @p71 (forall @t104 (= @t103 @t101))) % 45.89/46.39 (assume @p72 (forall @t79 (= (* 0/1 @t77) 0/1))) % 45.89/46.39 (assume @p73 (forall @t79 (= (* @t77 0/1) 0/1))) % 45.89/46.39 (assume @p74 (forall @t109 (= @t108 (or @t106 @t78)))) % 45.89/46.39 (assume @p75 (forall @t109 (= @t112 (or @t110 @t100)))) % 45.89/46.39 (assume @p76 (forall @t118 (= (= @t117 @t116) (or @t115 (= @t74 @t113))))) % 45.89/46.39 (assume @p77 (forall @t127 (= (= @t126 @t124) (or @t122 (= @t120 @t119))))) % 45.89/46.39 (assume @p78 (forall @t109 (= @t112 @t128))) % 45.89/46.39 (assume @p79 (forall @t118 (= @t131 (or @t75 @t129)))) % 45.89/46.39 (assume @p80 (forall @t127 (= @t135 (or @t133 @t132)))) % 45.89/46.39 (assume @p81 (forall @t109 (= @t108 @t136))) % 45.89/46.39 (assume @p82 (forall @t139 (= @t138 @t137))) % 45.89/46.39 (assume @p83 (forall @t142 (= @t141 @t140))) % 45.89/46.39 (assume @p84 (forall @t76 (= (* @t74 0) 0))) % 45.89/46.39 (assume @p85 (forall @t143 (= (|tptp.'fun_app$'| @t125 |tptp.'zero$d'|) |tptp.'zero$d'|))) % 45.89/46.39 (assume @p86 (forall @t76 (= (* 0 @t74) 0))) % 45.89/46.39 (assume @p87 (forall @t143 (= (|tptp.'fun_app$'| @t144 @t120) |tptp.'zero$d'|))) % 45.89/46.39 (assume @p88 (forall @t79 (= (* 1/1 @t77) @t77))) % 45.89/46.39 (assume @p89 (forall @t76 (= (* 1 @t74) @t74))) % 45.89/46.39 (assume @p90 (forall @t143 (= (|tptp.'fun_app$'| @t145 @t120) @t120))) % 45.89/46.39 (assume @p91 (forall @t76 (= (* @t74 1) @t74))) % 45.89/46.39 (assume @p92 (forall @t143 (= (|tptp.'fun_app$'| @t125 |tptp.'one$a'|) @t120))) % 45.89/46.39 (assume @p93 (forall @t79 (= (* @t77 1/1) @t77))) % 45.89/46.39 (assume @p94 (forall @t139 (= (= @t117 @t114) (or @t115 @t80)))) % 45.89/46.39 (assume @p95 (forall @t104 (= (= @t102 @t99) (or @t100 @t81)))) % 45.89/46.39 (assume @p96 (forall @t139 (= (= @t74 @t148) @t147))) % 45.89/46.39 (assume @p97 (forall @t104 (= (= @t77 @t151) @t150))) % 45.89/46.39 (assume @p98 (forall @t139 (= (= @t117 @t74) @t147))) % 45.89/46.39 (assume @p99 (forall @t104 (= (= @t102 @t77) @t150))) % 45.89/46.39 (assume @p100 (forall @t139 (= (= @t74 @t117) @t147))) % 45.89/46.39 (assume @p101 (forall @t104 (= (= @t77 @t102) @t150))) % 45.89/46.39 (assume @p102 (forall @t118 (= (|tptp.'times$b'| @t117 @t113) @t153))) % 45.89/46.39 (assume @p103 (forall @t127 (= (|tptp.'fun_app$'| (|tptp.'times$c'| @t126) @t119) @t156))) % 45.89/46.39 (assume @p104 (forall @t109 (= @t159 @t158))) % 45.89/46.39 (assume @p105 (forall @t139 (= @t117 @t148))) % 45.89/46.39 (assume @p106 (forall @t142 (= @t126 @t160))) % 45.89/46.39 (assume @p107 (forall @t104 (= @t102 @t151))) % 45.89/46.39 (assume @p108 (forall @t118 (= @t153 (|tptp.'times$b'| @t114 @t130)))) % 45.89/46.39 (assume @p109 (forall @t127 (= @t156 (|tptp.'fun_app$'| @t154 @t134)))) % 45.89/46.39 (assume @p110 (forall @t109 (= @t158 (|tptp.'times$a'| @t99 @t107)))) % 45.89/46.39 (assume @p111 (forall @t109 (= @t158 @t159))) % 45.89/46.39 (assume @p112 (forall @t109 (=> (and @t161 @t108) @t106))) % 45.89/46.39 (assume @p113 (forall @t109 (=> (and @t161 @t163) @t106))) % 45.89/46.39 (assume @p114 (forall @t118 (=> @t165 (= (= @t148 @t164) @t129)))) % 45.89/46.39 (assume @p115 (forall @t127 (=> @t167 (= (= @t160 @t166) @t132)))) % 45.89/46.39 (assume @p116 (forall @t109 (=> @t161 (= @t163 @t106)))) % 45.89/46.39 (assume @p117 (forall @t118 (=> @t165 (= @t131 @t129)))) % 45.89/46.39 (assume @p118 (forall @t127 (=> @t167 (= @t135 @t132)))) % 45.89/46.39 (assume @p119 (forall @t109 (=> @t161 (= @t108 @t106)))) % 45.89/46.39 (assume @p120 (forall @t139 (=> @t169 @t168))) % 45.89/46.39 (assume @p121 (forall @t142 (=> @t171 @t170))) % 45.89/46.39 (assume @p122 (forall @t104 (=> @t174 @t172))) % 45.89/46.39 (assume @p123 (forall @t139 (=> @t138 @t137))) % 45.89/46.39 (assume @p124 (forall @t142 (=> @t141 @t140))) % 45.89/46.39 (assume @p125 (forall @t104 (=> @t103 @t101))) % 45.89/46.39 (assume @p126 (forall @t139 (=> @t168 @t169))) % 45.89/46.39 (assume @p127 (forall @t142 (=> @t170 @t171))) % 45.89/46.39 (assume @p128 (forall @t104 (=> @t172 @t174))) % 45.89/46.39 (assume @p129 (forall @t97 (=> @t96 (|tptp.'invertible$'| (|tptp.'mult_row$'| @t59 @t95 @t67))))) % 45.89/46.39 (assume @p130 (forall @t98 (=> @t96 (|tptp.'invertible$a'| (|tptp.'mult_row$a'| @t57 @t91 @t67))))) % 45.89/46.39 (assume @p131 (forall (@list @t176 @t114) (and (=> @t177 (and (=> @t177 (= @t179 @t114)) (=> @t178 (= @t179 0)))) (=> @t178 (and (=> @t177 (= @t175 @t114)) (=> @t178 (= @t175 0))))))) % 45.89/46.39 (assume @p132 (forall (@list @t176 @t121) (and (=> @t177 (and (=> @t177 (= @t181 @t121)) (=> @t178 (= @t181 |tptp.'zero$d'|)))) (=> @t178 (and (=> @t177 (= @t180 @t121)) (=> @t178 (= @t180 |tptp.'zero$d'|))))))) % 45.89/46.39 (assume @p133 (forall (@list @t176 @t99) (and (=> @t177 (and (=> @t177 (= @t183 @t99)) (=> @t178 (= @t183 0/1)))) (=> @t178 (and (=> @t177 (= @t182 @t99)) (=> @t178 (= @t182 0/1))))))) % 45.89/46.39 (assume @p134 (forall @t127 (= (= @t189 @t188) (or (= @t187 @t186) @t185)))) % 45.89/46.39 (assume @p135 (forall @t127 (= @t193 (or @t191 @t190)))) % 45.89/46.39 (assume @p136 (forall @t143 (= (* @t187 0) 0))) % 45.89/46.39 (assume @p137 (forall @t142 (= (= @t189 0) (or @t190 @t185)))) % 45.89/46.39 (assume @p138 (forall (@list @t74 @t195 @t113 @t194) (=> (and (|tptp.'member$'| @t74 @t195) (|tptp.'member$'| @t113 @t194)) (|tptp.'member$'| @t130 (|tptp.'times$d'| @t195 @t194))))) % 45.89/46.39 (assume @p139 (forall (@list @t120 @t197 @t119 @t196) (=> (and (|tptp.'member$a'| @t120 @t197) (|tptp.'member$a'| @t119 @t196)) (|tptp.'member$a'| @t134 (|tptp.'times$e'| @t197 @t196))))) % 45.89/46.39 (assume @p140 (forall @t201 (=> @t200 (|tptp.'member$b'| @t107 (|tptp.'times$f'| @t199 @t198))))) % 45.89/46.39 (assume @p141 (forall @t92 (|tptp.'invertible$'| @t202))) % 45.89/46.39 (assume @p142 (forall @t93 (|tptp.'invertible$a'| (|tptp.'interchange_rows$a'| @t57 @t87 @t72)))) % 45.89/46.39 (assume @p143 (forall (@list @t83 @t70 @t50) (= (|tptp.'matrix_matrix_mult$a'| @t202 @t50) (|tptp.'interchange_rows$b'| @t50 @t83 @t70)))) % 45.89/46.39 (assume @p144 (forall @t142 (= (= @t189 1) @t204))) % 45.89/46.39 (assume @p145 (forall @t142 (= (= 1 @t189) @t204))) % 45.89/46.39 (assume @p146 (forall @t143 (= (* @t187 1) @t187))) % 45.89/46.39 (assume @p147 (forall @t143 (= (* 1 @t187) @t187))) % 45.89/46.39 (assume @p148 (forall (@list @t24 @t21) (= (|tptp.'transpose$'| (|tptp.'matrix_matrix_mult$e'| @t24 @t21)) (|tptp.'matrix_matrix_mult$'| (|tptp.'transpose$'| @t21) (|tptp.'transpose$a'| @t24))))) % 45.89/46.39 (assume @p149 (forall @t18 (= (|tptp.'transpose$'| (|tptp.'matrix_matrix_mult$d'| @t12 @t15)) (|tptp.'matrix_matrix_mult$a'| (|tptp.'transpose$b'| @t15) (|tptp.'transpose$'| @t12))))) % 45.89/46.39 (assume @p150 (forall @t48 (= (|tptp.'transpose$c'| @t46) (|tptp.'matrix_matrix_mult$e'| (|tptp.'transpose$a'| @t1) (|tptp.'transpose$c'| @t33))))) % 45.89/46.39 (assume @p151 (forall @t42 (= (|tptp.'transpose$c'| @t49) (|tptp.'matrix_matrix_mult$d'| (|tptp.'transpose$c'| @t32) (|tptp.'transpose$b'| @t3))))) % 45.89/46.39 (assume @p152 (forall (@list @t74 @t195 @t205) (=> (and (|tptp.'member$'| @t74 (|tptp.'times$d'| @t195 @t205)) (forall (@list @t207 @t206) (=> (and (= @t74 (|tptp.'times$b'| @t207 @t206)) (|tptp.'member$'| @t207 @t195) (|tptp.'member$'| @t206 @t205)) false))) false))) % 45.89/46.39 (assume @p153 (forall (@list @t120 @t197 @t208) (=> (and (|tptp.'member$a'| @t120 (|tptp.'times$e'| @t197 @t208)) (forall @t211 (=> (and (= @t120 (|tptp.'fun_app$'| (|tptp.'times$c'| @t210) @t209)) (|tptp.'member$a'| @t210 @t197) (|tptp.'member$a'| @t209 @t208)) false))) false))) % 45.89/46.39 (assume @p154 (forall (@list @t77 @t199 @t212) (=> (and (|tptp.'member$b'| @t77 (|tptp.'times$f'| @t199 @t212)) (forall (@list @t214 @t213) (=> (and (= @t77 (|tptp.'times$a'| @t214 @t213)) (|tptp.'member$b'| @t214 @t199) (|tptp.'member$b'| @t213 @t212)) false))) false))) % 45.89/46.39 (assume @p155 (forall @t143 (=> (and @t216 (=> @t215 false)) false))) % 45.89/46.39 (assume @p156 (forall @t143 (= (* 0 @t187) 0))) % 45.89/46.39 (assume @p157 (forall @t142 (=> (= @t187 @t189) (or @t203 @t190)))) % 45.89/46.39 (assume @p158 (forall @t127 (= @t193 (or @t190 @t191)))) % 45.89/46.39 (assume @p159 (forall @t79 (and (=> @t78 (= @t217 0/1)) (=> @t161 (= @t217 1/1))))) % 45.89/46.39 (assume @p160 (forall @t104 (= @t219 @t78))) % 45.89/46.39 (assume @p161 (forall @t79 (= (|tptp.'powr$'| 0/1 @t77) 0/1))) % 45.89/46.39 (assume @p162 (forall @t79 (= (|tptp.'powr$'| 1/1 @t77) 1/1))) % 45.89/46.39 (assume @p163 (forall @t223 (= (|tptp.'matrix_vector_mult$'| @t33 @t222) @t221))) % 45.89/46.39 (assume @p164 (forall @t226 (= (|tptp.'matrix_vector_mult$b'| @t3 @t225) @t224))) % 45.89/46.39 (assume @p165 (forall @t223 (=> @t47 (= (= @t221 |tptp.'zero$e'|) (= @t222 |tptp.'zero$f'|))))) % 45.89/46.39 (assume @p166 (forall @t226 (=> @t4 (= (= @t224 |tptp.'zero$e'|) (= @t225 |tptp.'zero$e'|))))) % 45.89/46.39 (assume @p167 (forall (@list @t33 @t227) (= (|tptp.'columnvector$'| (|tptp.'matrix_vector_mult$'| @t33 @t227)) (|tptp.'matrix_matrix_mult$'| @t33 (|tptp.'columnvector$a'| @t227))))) % 45.89/46.39 (assume @p168 (forall (@list @t3 @t228) (= (|tptp.'columnvector$'| (|tptp.'matrix_vector_mult$b'| @t3 @t228)) (|tptp.'matrix_matrix_mult$a'| @t3 (|tptp.'columnvector$'| @t228))))) % 45.89/46.39 (assume @p169 (forall @t104 (and (=> @t78 @t219) (=> @t161 (= @t218 (|tptp.'exp$'| @t230)))))) % 45.89/46.39 (assume @p170 (forall (@list @t87 @t32 @t19) (= (|tptp.'column$'| @t87 @t51) (|tptp.'matrix_vector_mult$'| @t32 (|tptp.'column$a'| @t87 @t19))))) % 45.89/46.39 (assume @p171 (forall (@list @t87 @t15 @t50) (= (|tptp.'column$'| @t87 @t52) (|tptp.'matrix_vector_mult$b'| @t15 (|tptp.'column$'| @t87 @t50))))) % 45.89/46.39 (assume @p172 (forall @t79 (= (= @t231 1/1) @t78))) % 45.89/46.39 (assume @p173 (forall @t143 (= @t215 @t232))) % 45.89/46.39 (assume @p174 (forall @t143 (= @t233 false))) % 45.89/46.39 (assume @p175 (= (|tptp.'exp$'| 0/1) 1/1)) % 45.89/46.39 (assume @p176 (forall @t127 (= (< @t189 @t188) (and @t234 (< @t187 @t186))))) % 45.89/46.39 (assume @p177 (forall @t142 (= (< 0 @t189) (and @t232 @t234)))) % 45.89/46.39 (assume @p178 (forall @t127 (= @t236 (and @t232 @t235)))) % 45.89/46.39 (assume @p179 (forall @t143 (= (< @t187 1) @t190))) % 45.89/46.39 (assume @p180 (forall @t139 (=> (and (not @t238) (=> @t237 false) (=> (< @t114 @t74) false)) false))) % 45.89/46.39 (assume @p181 (forall @t104 (=> (and (not @t241) (=> @t240 false) (=> @t239 false)) false))) % 45.89/46.39 (assume @p182 (forall @t142 (=> (and @t245 (=> @t243 false) (=> @t242 false)) false))) % 45.89/46.39 (assume @p183 (forall @t257 (=> (forall @t256 (=> @t255 @t253)) @t247))) % 45.89/46.39 (assume @p184 (forall @t257 (=> (forall @t256 (=> (forall @t252 (=> @t251 @t248)) @t254)) @t247))) % 45.89/46.39 (assume @p185 (forall @t143 (=> @t258 false))) % 45.89/46.39 (assume @p186 (forall @t142 (=> @t243 @t245))) % 45.89/46.39 (assume @p187 (forall @t142 (=> @t243 (not (= @t184 @t187))))) % 45.89/46.39 (assume @p188 (forall @t143 (not @t258))) % 45.89/46.39 (assume @p189 (forall @t142 (= @t245 (or @t243 @t242)))) % 45.89/46.39 (assume @p190 (forall @t79 (not (= @t231 0/1)))) % 45.89/46.39 (assume @p191 (forall @t79 (= (|tptp.'times$a'| @t231 @t77) (|tptp.'times$a'| @t77 @t231)))) % 45.89/46.39 (assume @p192 (forall @t257 (=> (and @t260 (forall @t256 (=> (and @t259 @t255) @t253))) @t247))) % 45.89/46.39 (assume @p193 (forall @t142 (=> @t243 (not @t185)))) % 45.89/46.39 (assume @p194 (forall @t143 (=> @t233 false))) % 45.89/46.39 (assume @p195 (forall @t143 (not @t233))) % 45.89/46.39 (assume @p196 (forall @t143 (= (not @t232) @t190))) % 45.89/46.39 (assume @p197 (forall @t143 (=> @t216 @t232))) % 45.89/46.39 (assume @p198 (forall @t139 (=> @t264 @t261))) % 45.89/46.39 (assume @p199 (forall @t104 (=> @t268 @t265))) % 45.89/46.39 (assume @p200 (forall @t76 (not (< @t269 0)))) % 45.89/46.39 (assume @p201 (forall @t79 (not (< @t270 0/1)))) % 45.89/46.39 (assume @p202 (forall @t139 (= @t275 (or @t274 @t272)))) % 45.89/46.39 (assume @p203 (forall @t104 (= @t280 (or @t279 @t277)))) % 45.89/46.39 (assume @p204 (forall @t142 (=> (and (|tptp.'fun_app$a'| @t285 |tptp.'zero$d'|) @t284) @t282))) % 45.89/46.39 (assume @p205 (forall @t139 (=> @t272 @t275))) % 45.89/46.39 (assume @p206 (forall @t104 (=> @t277 @t280))) % 45.89/46.39 (assume @p207 (forall @t142 (=> @t288 @t282))) % 45.89/46.39 (assume @p208 (forall @t139 (=> @t274 @t275))) % 45.89/46.39 (assume @p209 (forall @t104 (=> @t279 @t280))) % 45.89/46.39 (assume @p210 (forall @t142 (=> (and @t287 @t284) @t289))) % 45.89/46.39 (assume @p211 (forall @t139 (=> @t290 @t261))) % 45.89/46.39 (assume @p212 (forall @t104 (=> @t291 @t265))) % 45.89/46.39 (assume @p213 (forall @t142 (=> @t288 (|tptp.'fun_app$a'| (|tptp.'less$'| @t160) |tptp.'zero$d'|)))) % 45.89/46.39 (assume @p214 (forall @t139 (=> @t274 (< @t148 0)))) % 45.89/46.39 (assume @p215 (forall @t104 (=> @t279 (< @t151 0/1)))) % 45.89/46.39 (assume @p216 (forall @t139 (= @t261 (or @t290 @t264)))) % 45.89/46.39 (assume @p217 (forall @t104 (= @t265 (or @t291 @t268)))) % 45.89/46.39 (assume @p218 (forall @t142 (=> (and @t289 @t287) @t284))) % 45.89/46.39 (assume @p219 (forall @t139 (=> (and @t261 @t273) @t271))) % 45.89/46.39 (assume @p220 (forall @t104 (=> (and @t265 @t278) @t276))) % 45.89/46.39 (assume @p221 (forall @t142 (=> (and @t289 @t284) @t287))) % 45.89/46.39 (assume @p222 (forall @t139 (=> (and @t261 @t271) @t273))) % 45.89/46.39 (assume @p223 (forall @t104 (=> (and @t265 @t276) @t278))) % 45.89/46.39 (assume @p224 (forall @t118 (=> @t263 (= @t293 @t292)))) % 45.89/46.39 (assume @p225 (forall @t109 (=> @t267 (= @t295 @t294)))) % 45.89/46.39 (assume @p226 (forall @t118 (=> @t273 (= @t293 @t296)))) % 45.89/46.39 (assume @p227 (forall @t109 (=> @t278 (= @t295 @t297)))) % 45.89/46.39 (assume @p228 (forall @t118 (=> @t298 (< @t116 @t164)))) % 45.89/46.39 (assume @p229 (forall @t109 (=> @t299 (< @t111 @t162)))) % 45.89/46.39 (assume @p230 (forall @t127 (=> @t302 (|tptp.'fun_app$a'| (|tptp.'less$'| @t166) @t124)))) % 45.89/46.39 (assume @p231 (forall @t118 (=> @t304 (< @t164 @t116)))) % 45.89/46.39 (assume @p232 (forall @t109 (=> @t306 (< @t162 @t111)))) % 45.89/46.39 (assume @p233 (forall @t118 (= @t293 (or (and @t273 @t296) (and @t263 @t292))))) % 45.89/46.39 (assume @p234 (forall @t109 (= @t295 (or (and @t278 @t297) (and @t267 @t294))))) % 45.89/46.39 (assume @p235 (forall @t118 (=> @t298 (< @t152 @t130)))) % 45.89/46.39 (assume @p236 (forall @t109 (=> @t299 (< @t157 @t107)))) % 45.89/46.39 (assume @p237 (forall @t127 (=> @t302 (|tptp.'fun_app$a'| @t307 @t155)))) % 45.89/46.39 (assume @p238 (forall @t118 (=> @t304 (< @t130 @t152)))) % 45.89/46.39 (assume @p239 (forall @t109 (=> @t306 (< @t107 @t157)))) % 45.89/46.39 (assume @p240 (forall @t118 (= @t310 (or (and @t271 @t309) (and @t262 @t308))))) % 45.89/46.39 (assume @p241 (forall @t109 (= @t313 (or (and @t276 @t312) (and @t266 @t311))))) % 45.89/46.39 (assume @p242 (< 0 1)) % 45.89/46.39 (assume @p243 (< 0/1 1/1)) % 45.89/46.39 (assume @p244 (not (< 1 0))) % 45.89/46.39 (assume @p245 (not (< 1/1 0/1))) % 45.89/46.39 (assume @p246 (forall @t142 (=> (and (|tptp.'fun_app$a'| @t314 @t120) (|tptp.'fun_app$a'| @t314 @t121)) (|tptp.'fun_app$a'| @t314 @t126)))) % 45.89/46.39 (assume @p247 (forall @t139 (=> (and @t316 @t315) (< 1 @t117)))) % 45.89/46.39 (assume @p248 (forall @t104 (=> (and @t318 @t317) (< 1/1 @t102)))) % 45.89/46.39 (assume @p249 (forall @t127 (=> @t320 (< @t319 @t188)))) % 45.89/46.39 (assume @p250 (forall @t127 (=> @t320 (< @t192 @t321)))) % 45.89/46.39 (assume @p251 (forall @t127 (=> @t232 (= @t236 @t235)))) % 45.89/46.39 (assume @p252 (forall @t127 (=> @t232 (= @t193 @t191)))) % 45.89/46.39 (assume @p253 (forall @t118 (=> @t273 (= (< @t148 @t164) @t296)))) % 45.89/46.39 (assume @p254 (forall @t109 (=> @t278 (= (< @t151 @t162) @t297)))) % 45.89/46.39 (assume @p255 (not (< 1 1))) % 45.89/46.39 (assume @p256 (not (< 1/1 1/1))) % 45.89/46.39 (assume @p257 (forall @t104 (= (< 0/1 @t218) @t161))) % 45.89/46.39 (assume @p258 (forall @t104 (=> @t291 (= (= @t229 @t322) @t241)))) % 45.89/46.39 (assume @p259 (forall @t104 (=> @t291 (= (< @t229 @t322) @t240)))) % 45.89/46.39 (assume @p260 (forall @t109 (=> @t318 (= @t324 @t297)))) % 45.89/46.39 (assume @p261 (forall @t79 (= (|tptp.'ln$'| @t231) @t77))) % 45.89/46.39 (assume @p262 (forall @t104 (= @t326 @t240))) % 45.89/46.39 (assume @p263 (forall @t104 (=> @t240 @t326))) % 45.89/46.39 (assume @p264 (forall @t104 (= (= @t231 @t325) @t241))) % 45.89/46.39 (assume @p265 (forall @t79 (=> @t278 (= (= @t229 0/1) @t81)))) % 45.89/46.39 (assume @p266 (forall @t79 (=> @t278 (= @t327 @t318)))) % 45.89/46.39 (assume @p267 (forall @t104 (=> @t318 (= (= @t218 1/1) @t100)))) % 45.89/46.39 (assume @p268 (forall @t79 (=> @t278 (= @t329 @t328)))) % 45.89/46.39 (assume @p269 (forall @t79 (=> @t278 @t330))) % 45.89/46.39 (assume @p270 (forall @t79 (= @t330 @t278))) % 45.89/46.39 (assume @p271 (forall @t79 (= (< @t231 1/1) @t267))) % 45.89/46.39 (assume @p272 (forall @t79 (= @t331 @t278))) % 45.89/46.39 (assume @p273 (forall @t109 (=> (and @t267 @t276 @t297) (< @t333 @t332)))) % 45.89/46.39 (assume @p274 (forall @t104 (not (< @t218 0/1)))) % 45.89/46.39 (assume @p275 (forall @t104 (=> (= @t231 @t99) (= @t322 @t77)))) % 45.89/46.39 (assume @p276 (forall @t104 (=> @t326 @t240))) % 45.89/46.39 (assume @p277 (forall @t79 (=> @t278 (exists (@list @t99) (= @t325 @t77))))) % 45.89/46.39 (assume @p278 (forall @t79 (< 0/1 @t231))) % 45.89/46.39 (assume @p279 (forall @t79 (=> @t278 (< @t229 @t77)))) % 45.89/46.39 (assume @p280 (forall @t79 (not (< @t231 0/1)))) % 45.89/46.39 (assume @p281 (forall @t104 (=> @t161 (= (|tptp.'ln$'| @t218) @t230)))) % 45.89/46.39 (assume @p282 (forall @t109 (=> (and @t240 (< 1/1 @t105)) (< @t333 @t334)))) % 45.89/46.39 (assume @p283 (forall @t109 (=> (and @t324 @t318) @t297))) % 45.89/46.39 (assume @p284 (forall @t109 (=> (and @t278 (not @t81)) (= (= @t218 @t323) @t106)))) % 45.89/46.39 (assume @p285 (forall @t79 (=> @t278 @t331))) % 45.89/46.39 (assume @p286 (forall @t79 (=> @t318 @t327))) % 45.89/46.39 (assume @p287 (forall @t104 (=> @t335 (< 1/1 @t218)))) % 45.89/46.39 (assume @p288 (forall @t79 (=> (and @t278 @t328) @t329))) % 45.89/46.39 (assume @p289 (forall @t79 (=> (and @t327 @t278) @t318))) % 45.89/46.39 (assume @p290 (not (< 0 0))) % 45.89/46.39 (assume @p291 (not (< 0/1 0/1))) % 45.89/46.39 (assume @p292 (forall @t79 (= (not (< 0/1 @t270)) @t78))) % 45.89/46.39 (assume @p293 (forall @t104 (=> @t291 (exists @t336 (and @t305 @t311 @t294))))) % 45.89/46.39 (assume @p294 (= (|tptp.'dbl_inc$'| 0) 1)) % 45.89/46.39 (assume @p295 (= (|tptp.'dbl_inc$a'| 0/1) 1/1)) % 45.89/46.39 (assume @p296 (forall @t109 (= @t337 (|tptp.'powr$'| @t77 @t157)))) % 45.89/46.39 (assume @p297 (forall @t109 (= @t337 (|tptp.'powr$'| @t323 @t99)))) % 45.89/46.39 (assume @p298 (forall @t79 (= (< 0/1 @t338) @t161))) % 45.89/46.39 (assume @p299 (= (|tptp.'norm$'| 1/1) 1/1)) % 45.89/46.39 (assume @p300 (forall @t79 (= (= @t338 0/1) @t78))) % 45.89/46.39 (assume @p301 (= (|tptp.'norm$'| 0/1) 0/1)) % 45.89/46.39 (assume @p302 (forall @t104 (= @t340 @t339))) % 45.89/46.39 (assume @p303 (forall @t342 (=> (and (< @t338 @t99) (< (|tptp.'norm$'| @t105) @t214)) (< (|tptp.'norm$'| @t107) @t341)))) % 45.89/46.39 (assume @p304 (forall @t104 (=> @t335 (<= (|tptp.'powr$'| @t229 @t99) (|tptp.'times$a'| (|tptp.'powr$'| @t99 @t99) @t77))))) % 45.89/46.39 (assume @p305 (forall @t79 (=> @t278 (= (<= @t229 0/1) @t343)))) % 45.89/46.39 (assume @p306 (forall @t79 (=> @t278 (= @t345 @t344)))) % 45.89/46.39 (assume @p307 (forall @t104 (= (<= @t231 @t325) @t346))) % 45.89/46.39 (assume @p308 (forall @t104 (= (<= @t218 0/1) @t78))) % 45.89/46.39 (assume @p309 (forall @t79 (= (<= @t338 0/1) @t78))) % 45.89/46.39 (assume @p310 (forall @t104 (=> @t291 (= (<= @t229 @t322) @t346)))) % 45.89/46.39 (assume @p311 (forall @t79 (= @t348 @t347))) % 45.89/46.39 (assume @p312 (forall @t79 (=> @t347 @t348))) % 45.89/46.39 (assume @p313 (forall @t109 (=> @t318 (= (<= @t218 @t323) @t349)))) % 45.89/46.39 (assume @p314 (forall @t79 (= (<= 1/1 @t231) @t347))) % 45.89/46.39 (assume @p315 (forall @t79 (= (<= @t231 1/1) @t350))) % 45.89/46.39 (assume @p316 (<= 1/1 1/1)) % 45.89/46.39 (assume @p317 (<= 1 1)) % 45.89/46.39 (assume @p318 (<= 0/1 0/1)) % 45.89/46.39 (assume @p319 (<= 0 0)) % 45.89/46.39 (assume @p320 (forall @t360 (=> (and @t359 @t357 @t356 @t355) @t353))) % 45.89/46.39 (assume @p321 (forall @t342 (=> (and @t346 @t364 @t363 @t362) @t361))) % 45.89/46.39 (assume @p322 (forall @t371 (=> (and @t370 @t369 @t368 @t367) @t366))) % 45.89/46.39 (assume @p323 (forall @t360 (=> (and @t359 @t357 @t372 @t355) @t353))) % 45.89/46.39 (assume @p324 (forall @t342 (=> (and @t346 @t364 @t347 @t362) @t361))) % 45.89/46.39 (assume @p325 (forall @t371 (=> (and @t370 @t369 @t373 @t367) @t366))) % 45.89/46.39 (assume @p326 (forall @t79 (<= 0/1 @t270))) % 45.89/46.39 (assume @p327 (forall @t76 (<= 0 @t269))) % 45.89/46.39 (assume @p328 (forall @t104 (=> @t378 @t374))) % 45.89/46.39 (assume @p329 (forall @t139 (=> @t384 @t379))) % 45.89/46.39 (assume @p330 (forall @t109 (=> @t385 (<= @t111 @t162)))) % 45.89/46.39 (assume @p331 (forall @t118 (=> @t386 (<= @t116 @t164)))) % 45.89/46.39 (assume @p332 (forall @t104 (=> @t376 @t374))) % 45.89/46.39 (assume @p333 (forall @t139 (=> @t382 @t379))) % 45.89/46.39 (assume @p334 (forall @t127 (=> @t387 (|tptp.'fun_app$a'| (|tptp.'less_eq$'| @t166) @t124)))) % 45.89/46.39 (assume @p335 (forall @t109 (=> @t388 (<= @t162 @t111)))) % 45.89/46.39 (assume @p336 (forall @t118 (=> @t389 (<= @t164 @t116)))) % 45.89/46.39 (assume @p337 (forall @t109 (=> @t385 (<= @t157 @t107)))) % 45.89/46.39 (assume @p338 (forall @t118 (=> @t386 (<= @t152 @t130)))) % 45.89/46.39 (assume @p339 (forall @t127 (=> @t387 (|tptp.'fun_app$a'| @t352 @t155)))) % 45.89/46.39 (assume @p340 (forall @t109 (=> @t388 (<= @t107 @t157)))) % 45.89/46.39 (assume @p341 (forall @t118 (=> @t389 (<= @t130 @t152)))) % 45.89/46.39 (assume @p342 (forall @t104 (= @t393 @t392))) % 45.89/46.39 (assume @p343 (forall @t139 (= @t397 @t396))) % 45.89/46.39 (assume @p344 (forall @t142 (=> (or @t402 @t400) @t399))) % 45.89/46.39 (assume @p345 (forall @t104 (=> @t392 @t393))) % 45.89/46.39 (assume @p346 (forall @t139 (=> @t396 @t397))) % 45.89/46.39 (assume @p347 (forall @t142 (=> (and @t372 @t356) (|tptp.'fun_app$a'| @t354 @t126)))) % 45.89/46.39 (assume @p348 (forall @t104 (=> @t377 @t374))) % 45.89/46.39 (assume @p349 (forall @t139 (=> @t383 @t379))) % 45.89/46.39 (assume @p350 (forall @t142 (=> @t402 @t399))) % 45.89/46.39 (assume @p351 (forall @t104 (=> @t391 @t393))) % 45.89/46.39 (assume @p352 (forall @t139 (=> @t395 @t397))) % 45.89/46.39 (assume @p353 (forall @t142 (=> @t400 @t399))) % 45.89/46.39 (assume @p354 (forall @t104 (=> @t390 @t393))) % 45.89/46.39 (assume @p355 (forall @t139 (=> @t394 @t397))) % 45.89/46.39 (assume @p356 (forall @t142 (=> @t402 (|tptp.'fun_app$a'| @t403 |tptp.'zero$d'|)))) % 45.89/46.39 (assume @p357 (forall @t104 (=> @t391 (<= @t151 0/1)))) % 45.89/46.39 (assume @p358 (forall @t139 (=> @t395 (<= @t148 0)))) % 45.89/46.39 (assume @p359 (forall @t104 (= @t374 @t378))) % 45.89/46.39 (assume @p360 (forall @t139 (= @t379 @t384))) % 45.89/46.39 (assume @p361 (<= 0/1 1/1)) % 45.89/46.39 (assume @p362 (<= 0 1)) % 45.89/46.39 (assume @p363 (not (<= 1/1 0/1))) % 45.89/46.39 (assume @p364 (not (<= 1 0))) % 45.89/46.39 (assume @p365 (forall @t109 (=> (and @t347 @t363 @t349) (<= @t332 @t333)))) % 45.89/46.39 (assume @p366 (forall @t104 (<= 0/1 @t218))) % 45.89/46.39 (assume @p367 (forall @t109 (=> (and @t346 @t404) (<= @t333 @t334)))) % 45.89/46.39 (assume @p368 (forall @t79 (not (<= @t231 0/1)))) % 45.89/46.39 (assume @p369 (forall @t79 (<= 0/1 @t231))) % 45.89/46.39 (assume @p370 (forall @t109 (= @t406 (and (=> @t278 @t349) (=> @t267 @t405))))) % 45.89/46.39 (assume @p371 (forall @t118 (= @t409 (and (=> @t273 @t408) (=> @t263 @t407))))) % 45.89/46.39 (assume @p372 (forall @t109 (= @t411 (and (=> @t276 @t410) (=> @t266 (<= @t105 @t77)))))) % 45.89/46.39 (assume @p373 (forall @t118 (= @t413 (and (=> @t271 @t412) (=> @t262 (<= @t113 @t74)))))) % 45.89/46.39 (assume @p374 (forall @t127 (=> (and (|tptp.'fun_app$a'| @t281 @t134) @t372) (|tptp.'fun_app$a'| @t286 @t119)))) % 45.89/46.39 (assume @p375 (forall @t109 (=> (and @t295 @t347) @t297))) % 45.89/46.39 (assume @p376 (forall @t118 (=> (and @t293 @t373) @t296))) % 45.89/46.39 (assume @p377 (forall @t360 (=> (and @t301 @t415 @t284 @t355) @t414))) % 45.89/46.39 (assume @p378 (forall @t342 (=> (and @t240 @t417 @t276 @t362) @t416))) % 45.89/46.39 (assume @p379 (forall @t371 (=> (and @t237 @t419 @t271 @t367) @t418))) % 45.89/46.39 (assume @p380 (forall @t109 (= @t295 (and (=> @t347 @t297) (=> @t350 @t294))))) % 45.89/46.39 (assume @p381 (forall @t118 (= @t293 (and (=> @t373 @t296) (=> @t381 @t292))))) % 45.89/46.39 (assume @p382 (forall @t127 (=> (and (|tptp.'fun_app$a'| @t281 @t124) @t356) (|tptp.'fun_app$a'| @t285 @t119)))) % 45.89/46.39 (assume @p383 (forall @t109 (=> (and @t313 @t363) @t312))) % 45.89/46.39 (assume @p384 (forall @t118 (=> (and @t310 @t368) @t309))) % 45.89/46.39 (assume @p385 (forall @t360 (=> (and @t301 @t415 @t372 @t355) @t414))) % 45.89/46.39 (assume @p386 (forall @t342 (=> (and @t240 @t417 @t347 @t362) @t416))) % 45.89/46.39 (assume @p387 (forall @t371 (=> (and @t237 @t419 @t373 @t367) @t418))) % 45.89/46.39 (assume @p388 (forall @t109 (= @t313 (and (=> @t363 @t312) (=> @t375 @t311))))) % 45.89/46.39 (assume @p389 (forall @t118 (= @t310 (and (=> @t368 @t309) (=> @t380 @t308))))) % 45.89/46.39 (assume @p390 (forall @t109 (=> @t267 (= @t406 @t405)))) % 45.89/46.39 (assume @p391 (forall @t118 (=> @t263 (= @t409 @t407)))) % 45.89/46.39 (assume @p392 (forall @t109 (=> @t278 (= @t406 @t349)))) % 45.89/46.39 (assume @p393 (forall @t118 (=> @t273 (= @t409 @t408)))) % 45.89/46.39 (assume @p394 (forall @t127 (=> (and (|tptp.'fun_app$a'| @t398 @t134) @t287) (|tptp.'fun_app$a'| @t401 @t119)))) % 45.89/46.39 (assume @p395 (forall @t109 (=> (and @t406 @t278) @t349))) % 45.89/46.39 (assume @p396 (forall @t118 (=> (and @t409 @t273) @t408))) % 45.89/46.39 (assume @p397 (forall @t127 (=> (and (|tptp.'fun_app$a'| @t398 @t124) @t284) (|tptp.'fun_app$a'| @t358 @t119)))) % 45.89/46.39 (assume @p398 (forall @t109 (=> (and @t411 @t276) @t410))) % 45.89/46.39 (assume @p399 (forall @t118 (=> (and @t413 @t271) @t412))) % 45.89/46.39 (assume @p400 (forall @t360 (=> (and @t359 @t415 @t287 @t355) @t414))) % 45.89/46.39 (assume @p401 (forall @t342 (=> (and @t346 @t417 @t278 @t362) @t416))) % 45.89/46.39 (assume @p402 (forall @t371 (=> (and @t370 @t419 @t273 @t367) @t418))) % 45.89/46.39 (assume @p403 (forall @t360 (=> (and @t301 @t357 @t372 @t300) @t414))) % 45.89/46.39 (assume @p404 (forall @t342 (=> (and @t240 @t364 @t347 @t305) @t416))) % 45.89/46.39 (assume @p405 (forall @t371 (=> (and @t237 @t369 @t373 @t303) @t418))) % 45.89/46.39 (assume @p406 (forall @t109 (=> @t278 (= (<= @t151 @t162) @t349)))) % 45.89/46.39 (assume @p407 (forall @t118 (=> @t273 (= (<= @t148 @t164) @t408)))) % 45.89/46.39 (assume @p408 (forall @t104 (=> @t421 (<= @t151 @t77)))) % 45.89/46.39 (assume @p409 (forall @t139 (=> @t423 (<= @t148 @t74)))) % 45.89/46.39 (assume @p410 (forall @t104 (=> @t421 @t424))) % 45.89/46.39 (assume @p411 (forall @t139 (=> @t423 @t425))) % 45.89/46.39 (assume @p412 (forall @t142 (=> (and @t427 @t356 @t426) (|tptp.'fun_app$a'| @t398 |tptp.'one$a'|)))) % 45.89/46.39 (assume @p413 (forall @t104 (=> (and @t343 @t363 @t420) (<= @t102 1/1)))) % 45.89/46.39 (assume @p414 (forall @t139 (=> (and @t428 @t368 @t422) (<= @t117 1)))) % 45.89/46.39 (assume @p415 (forall @t142 (=> (and @t427 @t356) (|tptp.'fun_app$a'| @t403 @t121)))) % 45.89/46.39 (assume @p416 (forall @t104 (=> (and @t343 @t363) (<= @t151 @t99)))) % 45.89/46.39 (assume @p417 (forall @t139 (=> (and @t428 @t368) (<= @t148 @t114)))) % 45.89/46.39 (assume @p418 (forall @t104 (<= @t340 @t339))) % 45.89/46.39 (assume @p419 (forall @t109 (=> (and @t278 @t363 @t297) (< @t332 @t333)))) % 45.89/46.39 (assume @p420 (forall @t109 (=> (and @t350 @t276 @t349) (<= @t333 @t332)))) % 45.89/46.39 (assume @p421 (forall @t79 (=> @t278 (<= @t229 @t77)))) % 45.89/46.39 (assume @p422 (forall @t104 (=> (and @t344 @t363) (<= 1/1 @t218)))) % 45.89/46.39 (assume @p423 (forall @t342 (=> (and @t347 @t346 @t404 @t364) (<= @t333 @t429)))) % 45.89/46.39 (assume @p424 (forall @t104 (=> @t421 (<= @t332 1/1)))) % 45.89/46.39 (assume @p425 (forall @t109 (=> @t377 (= (|tptp.'powr$'| @t102 @t105) (|tptp.'times$a'| @t323 (|tptp.'powr$'| @t99 @t105)))))) % 45.89/46.39 (assume @p426 (forall @t79 (=> @t344 @t345))) % 45.89/46.39 (assume @p427 (forall @t79 (<= (|tptp.'norm$'| @t231) (|tptp.'exp$'| @t338)))) % 45.89/46.39 (assume @p428 (forall @t104 (= (< @t102 @t99) (and (=> @t363 @t328) (=> @t375 @t318))))) % 45.89/46.39 (assume @p429 (forall @t139 (= (< @t117 @t114) (and (=> @t368 (< @t74 1)) (=> @t380 @t316))))) % 45.89/46.39 (assume @p430 (forall @t104 (= (< @t77 @t151) @t431))) % 45.89/46.39 (assume @p431 (forall @t139 (= (< @t74 @t148) @t433))) % 45.89/46.39 (assume @p432 (forall @t104 (= (< @t102 @t77) (and (=> @t347 @t430) (=> @t350 @t317))))) % 45.89/46.39 (assume @p433 (forall @t139 (= (< @t117 @t74) (and (=> @t373 @t432) (=> @t381 @t315))))) % 45.89/46.39 (assume @p434 (forall @t104 (= (< @t77 @t102) @t431))) % 45.89/46.39 (assume @p435 (forall @t139 (= (< @t74 @t117) @t433))) % 45.89/46.39 (assume @p436 (forall @t104 (= (<= @t102 @t99) (and (=> @t276 @t343) (=> @t266 @t344))))) % 45.89/46.39 (assume @p437 (forall @t139 (= (<= @t117 @t114) (and (=> @t271 @t428) (=> @t262 (<= 1 @t74)))))) % 45.89/46.39 (assume @p438 (forall @t104 (= (<= @t77 @t151) @t435))) % 45.89/46.39 (assume @p439 (forall @t139 (= (<= @t74 @t148) @t437))) % 45.89/46.39 (assume @p440 (forall @t104 (= @t424 (and (=> @t278 @t420) (=> @t267 @t434))))) % 45.89/46.39 (assume @p441 (forall @t139 (= @t425 (and (=> @t273 @t422) (=> @t263 @t436))))) % 45.89/46.39 (assume @p442 (forall @t104 (= (<= @t77 @t102) @t435))) % 45.89/46.39 (assume @p443 (forall @t139 (= (<= @t74 @t117) @t437))) % 45.89/46.39 (assume @p444 (forall @t79 (=> (and @t345 @t278) @t344))) % 45.89/46.39 (assume @p445 (forall @t104 (=> @t278 (= (<= @t99 @t229) (<= @t325 @t77))))) % 45.89/46.39 (assume @p446 (forall @t104 (=> (forall @t336 (=> (and @t305 (< @t105 1/1)) (<= @t162 @t99))) @t346))) % 45.89/46.39 (assume @p447 (forall @t142 (=> (and @t372 @t427 @t426) (= (= @t126 |tptp.'one$a'|) (and (= @t120 |tptp.'one$a'|) (= @t121 |tptp.'one$a'|)))))) % 45.89/46.39 (assume @p448 (forall @t104 (=> (and @t347 @t343 @t420) (= (= @t102 1/1) (and @t81 @t149))))) % 45.89/46.39 (assume @p449 (forall @t139 (=> (and @t373 @t428 @t422) (= (= @t117 1) (and @t80 @t146))))) % 45.89/46.39 (assume @p450 (forall @t143 @t438)) % 45.89/46.39 (assume @p451 (forall @t127 (= @t440 (=> @t232 @t439)))) % 45.89/46.39 (assume @p452 (forall @t127 (= (<= @t189 @t188) (=> @t234 @t441)))) % 45.89/46.39 (assume @p453 (forall @t143 (= @t438 true))) % 45.89/46.39 (assume @p454 (forall @t143 (= @t442 @t190))) % 45.89/46.39 (assume @p455 (forall @t143 (=> @t442 @t190))) % 45.89/46.39 (assume @p456 (forall @t127 (=> @t443 (<= @t319 @t188)))) % 45.89/46.39 (assume @p457 (forall @t127 (=> @t443 (<= @t192 @t321)))) % 45.89/46.39 (assume @p458 (forall @t360 (=> (and @t443 (<= @t186 @t250)) (<= @t192 (|tptp.'times$b'| @t184 @t250))))) % 45.89/46.39 (assume @p459 (forall @t143 (<= @t187 @t444))) % 45.89/46.39 (assume @p460 (forall @t143 (<= @t187 (|tptp.'times$b'| @t187 @t444)))) % 45.89/46.39 (assume @p461 (forall (@list @t445 @t121 @t119) (=> (and (forall @t211 (=> (< @t250 @t446) (< (|tptp.'of_nat$'| (|tptp.'fun_app$'| @t445 @t210)) (|tptp.'of_nat$'| (|tptp.'fun_app$'| @t445 @t209))))) @t439) (<= (|tptp.'of_nat$'| (|tptp.'fun_app$'| @t445 @t121)) (|tptp.'of_nat$'| (|tptp.'fun_app$'| @t445 @t119)))))) % 45.89/46.39 (assume @p462 (forall @t142 (=> @t447 @t243))) % 45.89/46.39 (assume @p463 (forall @t142 (=> @t448 @t443))) % 45.89/46.39 (assume @p464 (forall @t142 (= @t443 @t448))) % 45.89/46.39 (assume @p465 (forall @t142 (=> @t243 @t443))) % 45.89/46.39 (assume @p466 (forall @t142 (= @t243 @t447))) % 45.89/46.39 (assume @p467 (forall @t257 (=> (and @t247 (not @t260)) (exists @t256 (and (<= @t186 @t184) (forall @t252 (=> @t251 @t249)) @t254))))) % 45.89/46.39 (assume @p468 (forall @t127 (=> @t232 (= @t440 @t439)))) % 45.89/46.39 (assume @p469 (forall @t79 (= (|tptp.'fun_app$b'| @t449 @t77) @t78))) % 45.89/46.39 (assume @p470 (forall (@list @t246 @t121 @t119) (=> (and @t247 (forall @t252 (=> @t248 (<= @t250 @t186)))) (exists @t252 (and @t248 (forall (@list @t209) (=> (|tptp.'fun_app$a'| @t246 @t209) (<= @t446 @t250)))))))) % 45.89/46.39 (assume @p471 (forall @t142 (or @t443 @t450))) % 45.89/46.39 (assume @p472 (forall @t142 (=> (and @t443 @t450) @t244))) % 45.89/46.39 (assume @p473 (forall @t142 (=> @t244 @t443))) % 45.89/46.39 (assume @p474 (forall @t127 (=> (and @t443 @t439) @t441))) % 45.89/46.39 (assume @p475 (forall @t143 (<= @t187 @t187))) % 45.89/46.39 (assume @p476 (forall @t79 (|tptp.'fun_app$b'| (|tptp.'orthogonal$'| 0/1) @t77))) % 45.89/46.39 (assume @p477 (forall @t79 (|tptp.'fun_app$b'| @t449 0/1))) % 45.89/46.39 (assume @p478 (forall @t104 (=> (and @t344 @t276) (<= @t229 (|tptp.'fun_app$c'| (|tptp.'divide$'| @t218) @t99))))) % 45.89/46.39 (assume @p479 (forall @t342 (=> (and @t347 @t363 (= @t451 1/1) @t305 (< 0/1 @t214)) (<= (|tptp.'times$a'| @t333 @t429) (+ @t107 @t341))))) % 45.89/46.39 (assume @p480 (forall @t201 (=> @t200 (|tptp.'member$b'| @t452 (|tptp.'plus$'| @t199 @t198))))) % 45.89/46.39 (assume @p481 (forall @t109 (= (= @t451 @t452) @t106))) % 45.89/46.39 (assume @p482 (forall @t109 (= (= @t451 @t453) @t110))) % 45.89/46.39 (assume @p483 (forall @t109 (= @t454 @t410))) % 45.89/46.39 (assume @p484 (forall @t118 (= @t457 @t412))) % 45.89/46.39 (assume @p485 (forall @t109 (= @t458 @t349))) % 45.89/46.39 (assume @p486 (forall @t118 (= @t460 @t408))) % 45.89/46.39 (assume @p487 (forall @t76 (= (+ @t74 0) @t74))) % 45.89/46.39 (assume @p488 (forall @t79 (= (+ @t77 0/1) @t77))) % 45.89/46.39 (assume @p489 (forall @t76 (= (= 0 @t461) @t75))) % 45.89/46.39 (assume @p490 (forall @t79 (= (= 0/1 @t462) @t78))) % 45.89/46.39 (assume @p491 (forall @t139 (= (= @t456 @t114) @t75))) % 45.89/46.39 (assume @p492 (forall @t104 (= (= @t451 @t99) @t78))) % 45.89/46.39 (assume @p493 (forall @t139 (= (= @t456 @t74) @t115))) % 45.89/46.39 (assume @p494 (forall @t104 (= (= @t451 @t77) @t100))) % 45.89/46.39 (assume @p495 (forall @t139 (= (= @t74 @t463) @t115))) % 45.89/46.39 (assume @p496 (forall @t104 (= (= @t77 @t464) @t100))) % 45.89/46.39 (assume @p497 (forall @t139 (= (= @t74 @t456) @t115))) % 45.89/46.39 (assume @p498 (forall @t104 (= (= @t77 @t451) @t100))) % 45.89/46.39 (assume @p499 (forall @t76 (= (+ 0 @t74) @t74))) % 45.89/46.39 (assume @p500 (forall @t79 (= (+ 0/1 @t77) @t77))) % 45.89/46.39 (assume @p501 (forall @t118 (= (< @t456 @t455) @t309))) % 45.89/46.39 (assume @p502 (forall @t109 (= (< @t451 @t453) @t312))) % 45.89/46.39 (assume @p503 (forall @t118 (= (< @t456 @t459) @t296))) % 45.89/46.39 (assume @p504 (forall @t109 (= (< @t451 @t452) @t297))) % 45.89/46.39 (assume @p505 (forall @t76 (= (|tptp.'fun_app$d'| (|tptp.'divide$a'| 0) @t74) 0))) % 45.89/46.39 (assume @p506 (forall @t79 (= (|tptp.'fun_app$c'| (|tptp.'divide$'| 0/1) @t77) 0/1))) % 45.89/46.39 (assume @p507 (forall @t76 (= (|tptp.'fun_app$d'| @t465 0) 0))) % 45.89/46.39 (assume @p508 (forall @t79 (= (|tptp.'fun_app$c'| @t466 0/1) 0/1))) % 45.89/46.39 (assume @p509 (forall @t104 (= (= @t467 0/1) @t101))) % 45.89/46.39 (assume @p510 (forall @t109 (= (= @t467 @t468) @t136))) % 45.89/46.39 (assume @p511 (forall @t109 (= (= @t467 (|tptp.'fun_app$c'| (|tptp.'divide$'| @t105) @t99)) @t128))) % 45.89/46.39 (assume @p512 (forall @t109 (= (|tptp.'times$a'| @t467 @t105) @t469))) % 45.89/46.39 (assume @p513 (forall @t109 (= (|tptp.'fun_app$c'| (|tptp.'divide$'| @t467) @t105) (|tptp.'fun_app$c'| @t466 @t157)))) % 45.89/46.39 (assume @p514 (forall @t109 (= (|tptp.'fun_app$c'| @t466 @t471) @t469))) % 45.89/46.39 (assume @p515 (forall @t109 (= (|tptp.'times$a'| @t77 @t471) (|tptp.'fun_app$c'| @t472 @t105)))) % 45.89/46.39 (assume @p516 (forall @t76 (= (|tptp.'fun_app$d'| @t465 1) @t74))) % 45.89/46.39 (assume @p517 (forall @t79 (= (|tptp.'fun_app$c'| @t466 1/1) @t77))) % 45.89/46.39 (assume @p518 (forall @t104 (= (|tptp.'fun_app$c'| @t472 @t270) @t473))) % 45.89/46.39 (assume @p519 (forall @t104 (= (<= @t451 @t77) @t375))) % 45.89/46.39 (assume @p520 (forall @t139 (= (<= @t456 @t74) @t380))) % 45.89/46.39 (assume @p521 (forall @t104 (= (<= @t451 @t99) @t350))) % 45.89/46.39 (assume @p522 (forall @t139 (= (<= @t456 @t114) @t381))) % 45.89/46.39 (assume @p523 (forall @t104 (= (<= @t77 @t451) @t363))) % 45.89/46.39 (assume @p524 (forall @t139 (= (<= @t74 @t456) @t368))) % 45.89/46.39 (assume @p525 (forall @t104 (= (<= @t77 @t464) @t363))) % 45.89/46.39 (assume @p526 (forall @t139 (= (<= @t74 @t463) @t368))) % 45.89/46.39 (assume @p527 (forall @t79 (= (<= @t462 0/1) @t350))) % 45.89/46.39 (assume @p528 (forall @t76 (= (<= @t461 0) @t381))) % 45.89/46.39 (assume @p529 (forall @t79 (= (<= 0/1 @t462) @t347))) % 45.89/46.39 (assume @p530 (forall @t76 (= (<= 0 @t461) @t373))) % 45.89/46.39 (assume @p531 (forall @t139 (= (< @t456 @t74) @t262))) % 45.89/46.39 (assume @p532 (forall @t104 (= (< @t451 @t77) @t266))) % 45.89/46.39 (assume @p533 (forall @t139 (= (< @t456 @t114) @t263))) % 45.89/46.39 (assume @p534 (forall @t104 (= (< @t451 @t99) @t267))) % 45.89/46.39 (assume @p535 (forall @t139 (= (< @t74 @t456) @t271))) % 45.89/46.39 (assume @p536 (forall @t104 (= (< @t77 @t451) @t276))) % 45.89/46.39 (assume @p537 (forall @t139 (= (< @t74 @t463) @t271))) % 45.89/46.39 (assume @p538 (forall @t104 (= (< @t77 @t464) @t276))) % 45.89/46.39 (assume @p539 (forall @t76 (= (< @t461 0) @t263))) % 45.89/46.39 (assume @p540 (forall @t79 (= (< @t462 0/1) @t267))) % 45.89/46.39 (assume @p541 (forall @t76 (= (< 0 @t461) @t273))) % 45.89/46.39 (assume @p542 (forall @t79 (= (< 0/1 @t462) @t278))) % 45.89/46.39 (assume @p543 (forall @t139 (=> @t165 (= (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t117) @t74) @t114)))) % 45.89/46.39 (assume @p544 (forall @t142 (=> @t167 (= (|tptp.'fun_app$'| (|tptp.'divide$b'| @t126) @t120) @t121)))) % 45.89/46.39 (assume @p545 (forall @t104 (=> @t161 (= (|tptp.'fun_app$c'| @t472 @t77) @t99)))) % 45.89/46.39 (assume @p546 (forall @t139 (=> @t165 (= (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t148) @t74) @t114)))) % 45.89/46.39 (assume @p547 (forall @t142 (=> @t167 (= (|tptp.'fun_app$'| (|tptp.'divide$b'| @t160) @t120) @t121)))) % 45.89/46.39 (assume @p548 (forall @t104 (=> @t161 (= (|tptp.'fun_app$c'| @t474 @t77) @t99)))) % 45.89/46.39 (assume @p549 (forall @t109 (=> @t161 (= (|tptp.'fun_app$c'| @t474 @t107) @t471)))) % 45.89/46.39 (assume @p550 (forall @t109 (=> @t161 (= (|tptp.'fun_app$c'| @t474 @t162) @t471)))) % 45.89/46.39 (assume @p551 (forall @t109 (=> @t161 (= (|tptp.'fun_app$c'| @t472 @t162) @t471)))) % 45.89/46.39 (assume @p552 (forall @t109 @t476)) % 45.89/46.39 (assume @p553 (forall @t109 (and (=> @t78 (= @t475 0/1)) @t476))) % 45.89/46.39 (assume @p554 (forall @t76 (=> @t165 (= (|tptp.'fun_app$d'| @t465 @t74) 1)))) % 45.89/46.39 (assume @p555 (forall @t79 @t478)) % 45.89/46.39 (assume @p556 (forall @t79 (= (= 0/1 @t480) @t78))) % 45.89/46.39 (assume @p557 (forall @t79 (= (= @t480 0/1) @t78))) % 45.89/46.39 (assume @p558 (forall @t104 (= @t482 @t481))) % 45.89/46.39 (assume @p559 (forall @t104 (= @t483 @t481))) % 45.89/46.39 (assume @p560 (forall @t79 (and (=> @t78 (= @t477 0/1)) @t478))) % 45.89/46.39 (assume @p561 (forall @t104 (= @t482 @t484))) % 45.89/46.39 (assume @p562 (forall @t104 (= @t483 @t484))) % 45.89/46.39 (assume @p563 (forall @t79 (= (<= 0/1 @t480) @t347))) % 45.89/46.39 (assume @p564 (forall @t79 (= (<= @t480 0/1) @t350))) % 45.89/46.39 (assume @p565 (forall @t79 (= (< 0/1 @t480) @t278))) % 45.89/46.39 (assume @p566 (forall @t104 (=> @t278 (= @t485 @t240)))) % 45.89/46.39 (assume @p567 (forall @t104 (=> @t267 (= @t485 @t239)))) % 45.89/46.39 (assume @p568 (forall @t104 (=> @t278 (= @t486 @t239)))) % 45.89/46.39 (assume @p569 (forall @t104 (=> @t267 (= @t486 @t240)))) % 45.89/46.39 (assume @p570 (forall @t79 (= (< @t480 0/1) @t267))) % 45.89/46.39 (assume @p571 (forall @t104 (=> @t161 (= (|tptp.'fun_app$c'| @t466 @t151) @t487)))) % 45.89/46.39 (assume @p572 (forall @t104 (=> @t161 (= (|tptp.'fun_app$c'| @t466 @t102) @t487)))) % 45.89/46.39 (assume @p573 (forall @t104 (=> @t267 (= @t488 @t346)))) % 45.89/46.39 (assume @p574 (forall @t104 (=> @t278 (= @t488 @t489)))) % 45.89/46.39 (assume @p575 (forall @t104 (=> @t267 (= @t490 @t489)))) % 45.89/46.39 (assume @p576 (forall @t104 (=> @t278 (= @t490 @t346)))) % 45.89/46.39 (assume @p577 (forall @t109 (=> @t385 (<= @t471 @t468)))) % 45.89/46.39 (assume @p578 (forall @t104 (=> @t376 @t491))) % 45.89/46.39 (assume @p579 (forall @t104 (=> @t390 @t492))) % 45.89/46.39 (assume @p580 (forall @t104 (=> @t391 @t492))) % 45.89/46.39 (assume @p581 (forall @t104 (=> @t377 @t491))) % 45.89/46.39 (assume @p582 (forall @t104 (= @t491 @t378))) % 45.89/46.39 (assume @p583 (forall @t109 (=> @t388 (<= @t468 @t471)))) % 45.89/46.39 (assume @p584 (forall @t104 (= @t492 @t392))) % 45.89/46.39 (assume @p585 (forall @t109 (=> @t454 @t410))) % 45.89/46.39 (assume @p586 (forall @t118 (=> @t457 @t412))) % 45.89/46.39 (assume @p587 (forall @t109 (=> @t458 @t349))) % 45.89/46.39 (assume @p588 (forall @t118 (=> @t460 @t408))) % 45.89/46.39 (assume @p589 (forall @t109 (=> @t346 (<= @t452 (+ @t99 @t105))))) % 45.89/46.39 (assume @p590 (forall @t118 (=> @t370 (<= @t459 (+ @t114 @t113))))) % 45.89/46.39 (assume @p591 (forall @t109 (=> @t346 (<= (+ @t105 @t77) @t453)))) % 45.89/46.39 (assume @p592 (forall @t118 (=> @t370 (<= (+ @t113 @t74) @t455)))) % 45.89/46.39 (assume @p593 (forall @t342 (=> (and @t346 @t364) @t493))) % 45.89/46.39 (assume @p594 (forall @t371 (=> (and @t370 @t369) @t494))) % 45.89/46.39 (assume @p595 (forall @t342 (=> (and @t241 @t364) @t493))) % 45.89/46.39 (assume @p596 (forall @t371 (=> (and @t238 @t369) @t494))) % 45.89/46.39 (assume @p597 (forall @t342 (=> (and @t346 (= @t105 @t214)) @t493))) % 45.89/46.39 (assume @p598 (forall @t371 (=> (and @t370 (= @t113 @t207)) @t494))) % 45.89/46.39 (assume @p599 (forall @t109 (=> (and @t350 @t349) (<= @t451 @t105)))) % 45.89/46.39 (assume @p600 (forall @t118 (=> (and @t381 @t408) (<= @t456 @t113)))) % 45.89/46.39 (assume @p601 (forall @t143 (= (|tptp.'nat$'| @t187) @t120))) % 45.89/46.39 (assume @p602 (forall @t76 (and (=> @t373 (= @t495 @t74)) (=> (not @t373) (= @t495 0))))) % 45.89/46.39 (assume @p603 (forall (@list @t496) (or (= @t496 tptp.tltrue) (= @t496 tptp.tlfalse)))) % 45.89/46.39 (assume @p604 (not (= tptp.tltrue tptp.tlfalse))) % 45.89/46.39 (assume @p605 true) % 45.89/46.39 (step @p606 :rule quant-miniscope-or :args ((= (forall @t8 @t502) (or |tptp.'thesis$'| @t501)))) % 45.89/46.39 (step @p607 :rule aci_norm :args ((= @t503 @t502))) % 45.89/46.39 (step @p608 :rule cong :premises (@p607) :args ((forall @t8 @t503))) % 45.89/46.39 (step @p609 :rule trans :premises (@p608 @p606)) % 45.89/46.39 (step @p610 :rule aci_norm :args ((= (or @t500 |tptp.'thesis$'|) @t503))) % 45.89/46.39 (step @p611 :rule refl :args (|tptp.'thesis$'|)) % 45.89/46.39 (step @p612 :rule aci_norm :args ((= (or @t499 (or @t498 @t497)) @t500))) % 45.89/46.39 (step @p613 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 45.89/46.39 (step @p614 :rule refl :args (@t499)) % 45.89/46.39 (step @p615 :rule nary_cong :premises (@p614 @p613) :args ((or @t499 (not (and @t4 @t2))))) % 45.89/46.39 (step @p616 :rule bool-and-de-morgan :args (@t6 @t4 (and @t2))) % 45.89/46.39 (step @p617 :rule trans :premises (@p616 @p615)) % 45.89/46.39 (step @p618 :rule trans :premises (@p617 @p612)) % 45.89/46.39 (step @p619 :rule nary_cong :premises (@p618 @p611) :args ((or (not @t7) |tptp.'thesis$'|))) % 45.89/46.39 (step @p620 :rule trans :premises (@p619 @p610)) % 45.89/46.39 (step @p621 :rule bool-impl-elim :args (@t7 |tptp.'thesis$'|)) % 45.89/46.39 (step @p622 :rule trans :premises (@p621 @p620)) % 45.89/46.39 (step @p623 :rule cong :premises (@p622) :args (@t9)) % 45.89/46.39 (step @p624 :rule trans :premises (@p623 @p609)) % 45.89/46.39 (step @p625 :rule eq_resolve :premises (@p2 @p624)) % 45.89/46.39 (step @p626 :rule chain_m_resolution :premises (@p625 @p1) :args (@t501 (@list true) (@list |tptp.'thesis$'|))) % 45.89/46.39 (step @p627 :rule aci_norm :args ((= @t508 @t507))) % 45.89/46.39 (step @p628 :rule cong :premises (@p627) :args (@t509)) % 45.89/46.39 (step @p629 :rule symm :premises (@p628)) % 45.89/46.39 (step @p630 :rule true_intro :premises (@p629)) % 45.89/46.39 (step @p631 :rule eq-symm :args (@t509 @t510)) % 45.89/46.39 (step @p632 :rule trans :premises (@p631 @p630)) % 45.89/46.39 (step @p633 :rule cong :premises (@p629 @p628) :args ((= @t510 @t509))) % 45.89/46.39 (step @p634 :rule trans :premises (@p633 @p632)) % 45.89/46.39 (step @p635 :rule true_elim :premises (@p634)) % 45.89/46.39 (step @p636 :rule alpha_equiv :args (@t501 (@list @t3 @t1) (@list @t27 @t23))) % 45.89/46.39 (step @p637 :rule trans :premises (@p636 @p635)) % 45.89/46.39 (step @p638 :rule equiv_elim1 :premises (@p637)) % 45.89/46.39 (step @p639 :rule chain_m_resolution :premises (@p638 @p626) :args (@t509 (@list false) (@list @t501))) % 45.89/46.39 (step @p640 :rule aci_norm :args ((= (or @t505 (or @t504 @t511)) (or @t505 @t504 @t511)))) % 45.89/46.39 (step @p641 :rule bool-and-de-morgan :args (@t25 @t34 true)) % 45.89/46.39 (step @p642 :rule refl :args (@t505)) % 45.89/46.39 (step @p643 :rule nary_cong :premises (@p642 @p641) :args ((or @t505 (not (and @t25 @t34))))) % 45.89/46.39 (step @p644 :rule bool-and-de-morgan :args (@t30 @t25 (and @t34))) % 45.89/46.39 (step @p645 :rule trans :premises (@p644 @p643)) % 45.89/46.39 (step @p646 :rule trans :premises (@p645 @p640)) % 45.89/46.39 (step @p647 :rule cong :premises (@p646) :args (@t512)) % 45.89/46.39 (step @p648 :rule cong :premises (@p647) :args (@t513)) % 45.89/46.39 (step @p649 :rule exists-elim :args ((= @t37 @t513))) % 45.89/46.39 (step @p650 :rule trans :premises (@p649 @p648)) % 45.89/46.39 (step @p651 :rule refl :args (@t38)) % 45.89/46.39 (step @p652 :rule cong :premises (@p651 @p650) :args (@t39)) % 45.89/46.39 (step @p653 :rule cong :premises (@p652) :args (@t40)) % 45.89/46.39 (step @p654 :rule eq_resolve :premises (@p9 @p653)) % 45.89/46.39 (step @p655 :rule instantiate :premises (@p654) :args ((@list |tptp.'a$'| |tptp.'b$'|))) % 45.89/46.39 (step @p656 :rule cnf_equiv_pos1 :args (@t515)) % 45.89/46.39 (step @p657 :rule reordering :premises (@p656) :args ((or (not @t10) @t514 (not @t515)))) % 45.89/46.39 (step @p658 false :rule chain_m_resolution :premises (@p657 @p655 @p639 @p3) :args (false (@list false false false) (@list @t515 @t509 @t10))) % 45.89/46.39 ) % 45.89/46.39 % SZS output end Proof % 45.89/46.39 % cvc5 exiting %------------------------------------------------------------------------------