%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP341_1 : TPTP v9.2.1. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:26:23 AM UTC 2026 % Result : Theorem 0.45s 0.80s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP341_1 : TPTP v9.2.1. Released v8.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:02:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.80 % SZS status Theorem % 0.45/0.80 % SZS output start Proof % 0.45/0.80 ( % 0.45/0.80 (declare-sort |tptp.'A_a_fun$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_set_set$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_n_vec_set_set$'| 0) % 0.45/0.80 (declare-sort |tptp.'Num$'| 0) % 0.45/0.80 (declare-sort |tptp.'Num_set$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_set_set$'| 0) % 0.45/0.80 (declare-sort tptp.tlbool 0) % 0.45/0.80 (declare-sort |tptp.'N_a_n_vec_n_vec_fun$'| 0) % 0.45/0.80 (declare-sort |tptp.'Nat$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_set$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_n_vec_set$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_n_vec$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_n_vec_n_vec$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_n_vec_bool_fun$'| 0) % 0.45/0.80 (declare-sort |tptp.'N$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_set$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_n_vec_bool_fun$'| 0) % 0.45/0.80 (declare-sort |tptp.'A$'| 0) % 0.45/0.80 (declare-sort |tptp.'A_bool_fun$'| 0) % 0.45/0.80 (declare-const tptp.tlfalse tptp.tlbool) % 0.45/0.80 (declare-const |tptp.'numeral$b'| (-> |tptp.'Num$'| |tptp.'A$'|)) % 0.45/0.80 (declare-const |tptp.'numeral$'| (-> |tptp.'Num$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'plus$i'| (-> |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'fun_app$d'| (-> |tptp.'A_a_fun$'| |tptp.'A$'| |tptp.'A$'|)) % 0.45/0.80 (declare-const |tptp.'divide$'| (-> |tptp.'A$'| |tptp.'A_a_fun$'|)) % 0.45/0.80 (declare-const |tptp.'zero$f'| |tptp.'A_n_vec_set$'|) % 0.45/0.80 (declare-const |tptp.'zero$e'| |tptp.'A_n_vec_n_vec_set$'|) % 0.45/0.80 (declare-const |tptp.'zero$d'| |tptp.'A_set$'|) % 0.45/0.80 (declare-const |tptp.'plus$h'| (-> |tptp.'A$'| |tptp.'A$'| |tptp.'A$'|)) % 0.45/0.80 (declare-const |tptp.'plus$g'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'plus$d'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'plus$e'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (declare-const |tptp.'member$e'| (-> |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_set_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'plus$b'| (-> |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (declare-const |tptp.'plus$c'| (-> |tptp.'A_n_vec_n_vec_set_set$'| |tptp.'A_n_vec_n_vec_set_set$'| |tptp.'A_n_vec_n_vec_set_set$'|)) % 0.45/0.80 (declare-const |tptp.'plus$'| (-> |tptp.'A_set$'| |tptp.'A_set$'| |tptp.'A_set$'|)) % 0.45/0.80 (declare-const |tptp.'plus$a'| (-> |tptp.'A_set_set$'| |tptp.'A_set_set$'| |tptp.'A_set_set$'|)) % 0.45/0.80 (declare-const |tptp.'dbl_inc$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'rowvector$'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'less_eq$a'| (-> |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'less_eq$'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'column$'| (-> |tptp.'N$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'columnvector$'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'invertible$a'| (-> |tptp.'A_n_vec_n_vec_n_vec$'| Bool)) % 0.45/0.80 (declare-const |tptp.'numeral$a'| (-> |tptp.'Num$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'transpose$a'| (-> |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'matrix_vector_mult$a'| (-> |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'vec$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'vec$'| (-> |tptp.'A$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'transpose$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'interchange_columns$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'mat$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'column_add$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'similar_matrices$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_bool_fun$'|)) % 0.45/0.80 (declare-const tptp.tltrue tptp.tlbool) % 0.45/0.80 (declare-const |tptp.'equivalent_matrices$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_bool_fun$'|)) % 0.45/0.80 (declare-const |tptp.'one$a'| |tptp.'A_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'zero$c'| |tptp.'A_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'dbl_inc$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'member$c'| (-> |tptp.'A_set$'| |tptp.'A_set_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'one$b'| |tptp.'A_n_vec_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'matrix_matrix_mult$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'less_eq$b'| (-> |tptp.'A_set$'| |tptp.'A_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'uu$'| (-> |tptp.'A_set$'| |tptp.'A_bool_fun$'|)) % 0.45/0.80 (declare-const |tptp.'fun_app$b'| (-> |tptp.'A_bool_fun$'| |tptp.'A$'| Bool)) % 0.45/0.80 (declare-const |tptp.'uua$'| (-> |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_bool_fun$'|)) % 0.45/0.80 (declare-const |tptp.'orthogonal_matrix$'| |tptp.'A_n_vec_n_vec_bool_fun$'|) % 0.45/0.80 (declare-const |tptp.'uub$'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_bool_fun$'|)) % 0.45/0.80 (declare-const |tptp.'fun_app$'| (-> |tptp.'A_n_vec_n_vec_bool_fun$'| |tptp.'A_n_vec_n_vec$'| Bool)) % 0.45/0.80 (declare-const |tptp.'collect$b'| (-> |tptp.'A_n_vec_bool_fun$'| |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (declare-const |tptp.'mat$'| (-> |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'member$f'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'member$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'mult_column$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'matrix_inv$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'fun_app$a'| (-> |tptp.'A_n_vec_bool_fun$'| |tptp.'A_n_vec$'| Bool)) % 0.45/0.80 (declare-const |tptp.'member$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'vector_matrix_mult$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'interchange_rows$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N_a_n_vec_n_vec_fun$'|)) % 0.45/0.80 (declare-const |tptp.'member$b'| (-> |tptp.'A$'| |tptp.'A_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'p$'| |tptp.'A_n_vec_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'reduced_row_echelon_form$'| |tptp.'A_n_vec_n_vec_bool_fun$'|) % 0.45/0.80 (declare-const |tptp.'times$g'| (-> |tptp.'Num$'| |tptp.'Num$'| |tptp.'Num$'|)) % 0.45/0.80 (declare-const |tptp.'invertible$'| |tptp.'A_n_vec_n_vec_bool_fun$'|) % 0.45/0.80 (declare-const |tptp.'vector_matrix_mult$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'plus$f'| (-> |tptp.'A_n_vec_set_set$'| |tptp.'A_n_vec_set_set$'| |tptp.'A_n_vec_set_set$'|)) % 0.45/0.80 (declare-const |tptp.'gauss_Jordan$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'matrix_vector_mult$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'matrix_matrix_mult$a'| (-> |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'a$'| |tptp.'A_n_vec_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'mult_row$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'one$'| |tptp.'A$'|) % 0.45/0.80 (declare-const |tptp.'zero$'| |tptp.'A$'|) % 0.45/0.80 (declare-const |tptp.'gauss_Jordan_upt_k$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'Nat$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'times$c'| (-> |tptp.'A_set$'| |tptp.'A_set$'| |tptp.'A_set$'|)) % 0.45/0.80 (declare-const |tptp.'collect$'| (-> |tptp.'A_bool_fun$'| |tptp.'A_set$'|)) % 0.45/0.80 (declare-const |tptp.'one$c'| |tptp.'A_set$'|) % 0.45/0.80 (declare-const |tptp.'collect$a'| (-> |tptp.'A_n_vec_n_vec_bool_fun$'| |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (declare-const |tptp.'times$'| (-> |tptp.'A$'| |tptp.'A$'| |tptp.'A$'|)) % 0.45/0.80 (declare-const |tptp.'fun_app$c'| (-> |tptp.'N_a_n_vec_n_vec_fun$'| |tptp.'N$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'row_add$'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'N$'| |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'zero$a'| |tptp.'A_n_vec_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'zero$b'| |tptp.'A_n_vec_n_vec_n_vec$'|) % 0.45/0.80 (declare-const |tptp.'times$a'| (-> |tptp.'A_n_vec$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'times$b'| (-> |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'dbl_inc$b'| (-> |tptp.'A$'| |tptp.'A$'|)) % 0.45/0.80 (declare-const |tptp.'times$d'| (-> |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'| |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (declare-const |tptp.'times$e'| (-> |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_set$'| |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (declare-const |tptp.'times$h'| (-> |tptp.'Num_set$'| |tptp.'Num_set$'| |tptp.'Num_set$'|)) % 0.45/0.80 (declare-const |tptp.'member$d'| (-> |tptp.'Num$'| |tptp.'Num_set$'| Bool)) % 0.45/0.80 (declare-const |tptp.'times$f'| (-> |tptp.'A_set_set$'| |tptp.'A_set_set$'| |tptp.'A_set_set$'|)) % 0.45/0.80 (declare-const |tptp.'axis$'| (-> |tptp.'N$'| |tptp.'A_n_vec$'| |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (declare-const |tptp.'axis$a'| (-> |tptp.'N$'| |tptp.'A$'| |tptp.'A_n_vec$'|)) % 0.45/0.80 (define @t1 () (@var "A__questionmark_v0" |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (define @t2 () (@var "A__questionmark_v1" |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (define @t3 () (|tptp.'uua$'| @t1)) % 0.45/0.80 (define @t4 () (@var "A__questionmark_v0" |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (define @t5 () (@var "A__questionmark_v1" |tptp.'A_n_vec$'|)) % 0.45/0.80 (define @t6 () (|tptp.'uub$'| @t4)) % 0.45/0.80 (define @t7 () (@var "A__questionmark_v0" |tptp.'A_set$'|)) % 0.45/0.80 (define @t8 () (@var "A__questionmark_v1" |tptp.'A$'|)) % 0.45/0.80 (define @t9 () (|tptp.'uu$'| @t7)) % 0.45/0.80 (define @t10 () (|tptp.'matrix_inv$'| |tptp.'p$'|)) % 0.45/0.80 (define @t11 () (|tptp.'mat$'| |tptp.'one$'|)) % 0.45/0.80 (define @t12 () (|tptp.'matrix_matrix_mult$'| @t10 @t11)) % 0.45/0.80 (define @t13 () (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_matrix_mult$'| @t10 |tptp.'p$'|) |tptp.'a$'|)) % 0.45/0.80 (define @t14 () (|tptp.'matrix_matrix_mult$'| @t11 |tptp.'a$'|)) % 0.45/0.80 (define @t15 () (|tptp.'matrix_matrix_mult$'| |tptp.'p$'| |tptp.'a$'|)) % 0.45/0.80 (define @t16 () (|tptp.'matrix_matrix_mult$'| @t10 @t15)) % 0.45/0.80 (define @t17 () (@var "A__questionmark_v0" |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (define @t18 () (@list @t17)) % 0.45/0.80 (define @t19 () (|tptp.'matrix_matrix_mult$'| @t17 @t11)) % 0.45/0.80 (define @t20 () (forall @t18 (= @t19 @t17))) % 0.45/0.80 (define @t21 () (|tptp.'matrix_inv$'| @t17)) % 0.45/0.80 (define @t22 () (|tptp.'matrix_matrix_mult$'| @t2 @t17)) % 0.45/0.80 (define @t23 () (= @t22 @t11)) % 0.45/0.80 (define @t24 () (|tptp.'matrix_matrix_mult$'| @t17 @t2)) % 0.45/0.80 (define @t25 () (= @t24 @t11)) % 0.45/0.80 (define @t26 () (and @t25 @t23)) % 0.45/0.80 (define @t27 () (@list @t17 @t2)) % 0.45/0.80 (define @t28 () (|tptp.'gauss_Jordan$'| |tptp.'a$'|)) % 0.45/0.80 (define @t29 () (|tptp.'fun_app$'| |tptp.'invertible$'| @t17)) % 0.45/0.80 (define @t30 () (|tptp.'fun_app$'| |tptp.'invertible$'| @t2)) % 0.45/0.80 (define @t31 () (@list @t2)) % 0.45/0.80 (define @t32 () (exists @t31 @t25)) % 0.45/0.80 (define @t33 () (exists @t31 @t23)) % 0.45/0.80 (define @t34 () (@var "A__questionmark_v0" |tptp.'A_n_vec$'|)) % 0.45/0.80 (define @t35 () (@list @t34)) % 0.45/0.80 (define @t36 () (@var "A__questionmark_v0" |tptp.'A$'|)) % 0.45/0.80 (define @t37 () (= @t36 |tptp.'one$'|)) % 0.45/0.80 (define @t38 () (@list @t36)) % 0.45/0.80 (define @t39 () (@var "A__questionmark_v2" |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (define @t40 () (|tptp.'matrix_matrix_mult$'| @t2 @t39)) % 0.45/0.80 (define @t41 () (@list @t17 @t2 @t39)) % 0.45/0.80 (define @t42 () (|tptp.'gauss_Jordan$'| @t17)) % 0.45/0.80 (define @t43 () (= @t42 @t22)) % 0.45/0.80 (define @t44 () (@var "A__questionmark_v3" |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (define @t45 () (|tptp.'matrix_matrix_mult$'| (|tptp.'matrix_inv$'| @t39) @t17)) % 0.45/0.80 (define @t46 () (|tptp.'fun_app$'| |tptp.'invertible$'| @t39)) % 0.45/0.80 (define @t47 () (@list @t39)) % 0.45/0.80 (define @t48 () (@var "A__questionmark_v2" |tptp.'A$'|)) % 0.45/0.80 (define @t49 () (@var "A__questionmark_v1" |tptp.'N$'|)) % 0.45/0.80 (define @t50 () (@var "A__questionmark_v0" |tptp.'N$'|)) % 0.45/0.80 (define @t51 () (not (= @t50 @t49))) % 0.45/0.80 (define @t52 () (@list @t50 @t49 @t48)) % 0.45/0.80 (define @t53 () (@var "A__questionmark_v3" |tptp.'A$'|)) % 0.45/0.80 (define @t54 () (@var "A__questionmark_v2" |tptp.'N$'|)) % 0.45/0.80 (define @t55 () (|tptp.'mat$a'| |tptp.'one$a'|)) % 0.45/0.80 (define @t56 () (@list @t50 @t49)) % 0.45/0.80 (define @t57 () (|tptp.'transpose$'| @t17)) % 0.45/0.80 (define @t58 () (= @t17 @t2)) % 0.45/0.80 (define @t59 () (|tptp.'transpose$'| @t2)) % 0.45/0.80 (define @t60 () (|tptp.'mat$'| @t36)) % 0.45/0.80 (define @t61 () (|tptp.'fun_app$'| |tptp.'orthogonal_matrix$'| @t17)) % 0.45/0.80 (define @t62 () (@var "A__questionmark_v2" |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (define @t63 () (@var "A__questionmark_v1" |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (define @t64 () (|tptp.'interchange_columns$'| @t17 @t49 @t54)) % 0.45/0.80 (define @t65 () (@list @t17 @t49 @t54)) % 0.45/0.80 (define @t66 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 0.45/0.80 (define @t67 () (@var "A__questionmark_v1" |tptp.'A_bool_fun$'|)) % 0.45/0.80 (define @t68 () (@var "A__questionmark_v1" |tptp.'A_n_vec_n_vec_bool_fun$'|)) % 0.45/0.80 (define @t69 () (@var "A__questionmark_v1" |tptp.'A_n_vec_bool_fun$'|)) % 0.45/0.80 (define @t70 () (@list @t7)) % 0.45/0.80 (define @t71 () (@list @t1)) % 0.45/0.80 (define @t72 () (@list @t4)) % 0.45/0.80 (define @t73 () (= @t36 |tptp.'zero$'|)) % 0.45/0.80 (define @t74 () (not @t73)) % 0.45/0.80 (define @t75 () (@list @t36 @t49)) % 0.45/0.80 (define @t76 () (|tptp.'times$'| @t8 @t36)) % 0.45/0.80 (define @t77 () (|tptp.'times$'| @t36 @t8)) % 0.45/0.80 (define @t78 () (and (= @t77 |tptp.'one$'|) (= @t76 |tptp.'one$'|))) % 0.45/0.80 (define @t79 () (@list @t36 @t8 @t54)) % 0.45/0.80 (define @t80 () (|tptp.'fun_app$'| |tptp.'reduced_row_echelon_form$'| @t42)) % 0.45/0.80 (define @t81 () (|tptp.'fun_app$c'| (|tptp.'interchange_rows$'| @t11 @t50) @t49)) % 0.45/0.80 (define @t82 () (|tptp.'row_add$'| @t11 @t50 @t49 @t48)) % 0.45/0.80 (define @t83 () (|tptp.'fun_app$c'| (|tptp.'interchange_rows$'| @t57 @t49) @t54)) % 0.45/0.80 (define @t84 () (= @t17 |tptp.'zero$a'|)) % 0.45/0.80 (define @t85 () (@var "A__questionmark_v0" |tptp.'A_n_vec_n_vec_n_vec$'|)) % 0.45/0.80 (define @t86 () (@list @t85)) % 0.45/0.80 (define @t87 () (= @t8 |tptp.'zero$'|)) % 0.45/0.80 (define @t88 () (= @t36 @t48)) % 0.45/0.80 (define @t89 () (|tptp.'times$'| @t48 @t8)) % 0.45/0.80 (define @t90 () (= @t77 @t89)) % 0.45/0.80 (define @t91 () (@list @t36 @t8 @t48)) % 0.45/0.80 (define @t92 () (= @t8 @t48)) % 0.45/0.80 (define @t93 () (|tptp.'times$'| @t36 @t48)) % 0.45/0.80 (define @t94 () (= @t77 @t93)) % 0.45/0.80 (define @t95 () (or @t73 @t87)) % 0.45/0.80 (define @t96 () (= @t77 |tptp.'zero$'|)) % 0.45/0.80 (define @t97 () (@list @t36 @t8)) % 0.45/0.80 (define @t98 () (|tptp.'interchange_rows$'| @t17 @t49)) % 0.45/0.80 (define @t99 () (= @t34 |tptp.'zero$c'|)) % 0.45/0.80 (define @t100 () (|tptp.'times$'| @t48 @t36)) % 0.45/0.80 (define @t101 () (= @t76 @t100)) % 0.45/0.80 (define @t102 () (|tptp.'times$'| @t8 @t48)) % 0.45/0.80 (define @t103 () (|tptp.'times$'| @t36 @t102)) % 0.45/0.80 (define @t104 () (|tptp.'times$'| @t77 @t48)) % 0.45/0.80 (define @t105 () (@var "A__questionmark_v2" |tptp.'A_n_vec$'|)) % 0.45/0.80 (define @t106 () (|tptp.'times$a'| @t34 @t105)) % 0.45/0.80 (define @t107 () (|tptp.'times$a'| @t5 @t105)) % 0.45/0.80 (define @t108 () (|tptp.'times$a'| @t34 @t107)) % 0.45/0.80 (define @t109 () (@list @t34 @t5 @t105)) % 0.45/0.80 (define @t110 () (|tptp.'times$b'| @t17 @t39)) % 0.45/0.80 (define @t111 () (|tptp.'times$b'| @t2 @t39)) % 0.45/0.80 (define @t112 () (|tptp.'times$b'| @t17 @t111)) % 0.45/0.80 (define @t113 () (@var "A__questionmark_v2" |tptp.'A_set$'|)) % 0.45/0.80 (define @t114 () (|tptp.'times$c'| @t7 @t113)) % 0.45/0.80 (define @t115 () (@var "A__questionmark_v1" |tptp.'A_set$'|)) % 0.45/0.80 (define @t116 () (|tptp.'times$c'| @t115 @t113)) % 0.45/0.80 (define @t117 () (|tptp.'times$c'| @t7 @t116)) % 0.45/0.80 (define @t118 () (@list @t7 @t115 @t113)) % 0.45/0.80 (define @t119 () (|tptp.'times$a'| @t34 @t5)) % 0.45/0.80 (define @t120 () (@list @t34 @t5)) % 0.45/0.80 (define @t121 () (|tptp.'times$b'| @t17 @t2)) % 0.45/0.80 (define @t122 () (|tptp.'times$c'| @t7 @t115)) % 0.45/0.80 (define @t123 () (@list @t7 @t115)) % 0.45/0.80 (define @t124 () (= @t42 |tptp.'zero$a'|)) % 0.45/0.80 (define @t125 () (not @t84)) % 0.45/0.80 (define @t126 () (|tptp.'interchange_columns$'| @t57 @t49 @t54)) % 0.45/0.80 (define @t127 () (|tptp.'fun_app$c'| @t98 @t54)) % 0.45/0.80 (define @t128 () (or @t73 (= @t8 |tptp.'one$'|))) % 0.45/0.80 (define @t129 () (or @t73 @t92)) % 0.45/0.80 (define @t130 () (or @t87 @t88)) % 0.45/0.80 (define @t131 () (not @t96)) % 0.45/0.80 (define @t132 () (not @t87)) % 0.45/0.80 (define @t133 () (and @t74 @t132)) % 0.45/0.80 (define @t134 () (= @t2 |tptp.'zero$a'|)) % 0.45/0.80 (define @t135 () (= @t5 |tptp.'zero$c'|)) % 0.45/0.80 (define @t136 () (|tptp.'times$b'| |tptp.'zero$a'| @t2)) % 0.45/0.80 (define @t137 () (@var "A__questionmark_v0" tptp.tlbool)) % 0.45/0.80 (define @t138 () (= @t137 tptp.tltrue)) % 0.45/0.80 (define @t139 () (not @t138)) % 0.45/0.80 (define @t140 () (|tptp.'times$b'| |tptp.'one$b'| @t2)) % 0.45/0.80 (define @t141 () (|tptp.'times$a'| |tptp.'zero$c'| @t5)) % 0.45/0.80 (define @t142 () (|tptp.'times$a'| |tptp.'one$a'| @t5)) % 0.45/0.80 (define @t143 () (|tptp.'times$'| |tptp.'zero$'| @t8)) % 0.45/0.80 (define @t144 () (|tptp.'times$'| |tptp.'one$'| @t8)) % 0.45/0.80 (define @t145 () (@var "A__questionmark_v3" |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (define @t146 () (@var "A__questionmark_v1" |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (define @t147 () (|tptp.'times$d'| @t146 @t145)) % 0.45/0.80 (define @t148 () (and (|tptp.'member$a'| @t34 @t146) (|tptp.'member$a'| @t105 @t145))) % 0.45/0.80 (define @t149 () (@list @t34 @t146 @t105 @t145)) % 0.45/0.80 (define @t150 () (@var "A__questionmark_v3" |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (define @t151 () (@var "A__questionmark_v1" |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (define @t152 () (|tptp.'times$e'| @t151 @t150)) % 0.45/0.80 (define @t153 () (and (|tptp.'member$'| @t17 @t151) (|tptp.'member$'| @t39 @t150))) % 0.45/0.80 (define @t154 () (@list @t17 @t151 @t39 @t150)) % 0.45/0.80 (define @t155 () (@var "A__questionmark_v3" |tptp.'A_set_set$'|)) % 0.45/0.80 (define @t156 () (@var "A__questionmark_v1" |tptp.'A_set_set$'|)) % 0.45/0.80 (define @t157 () (and (|tptp.'member$c'| @t7 @t156) (|tptp.'member$c'| @t113 @t155))) % 0.45/0.80 (define @t158 () (@list @t7 @t156 @t113 @t155)) % 0.45/0.80 (define @t159 () (@var "A__questionmark_v3" |tptp.'Num_set$'|)) % 0.45/0.80 (define @t160 () (@var "A__questionmark_v1" |tptp.'Num_set$'|)) % 0.45/0.80 (define @t161 () (@var "A__questionmark_v2" |tptp.'Num$'|)) % 0.45/0.80 (define @t162 () (@var "A__questionmark_v0" |tptp.'Num$'|)) % 0.45/0.80 (define @t163 () (@var "A__questionmark_v3" |tptp.'A_set$'|)) % 0.45/0.80 (define @t164 () (|tptp.'times$c'| @t115 @t163)) % 0.45/0.80 (define @t165 () (and (|tptp.'member$b'| @t36 @t115) (|tptp.'member$b'| @t48 @t163))) % 0.45/0.80 (define @t166 () (@list @t36 @t115 @t48 @t163)) % 0.45/0.80 (define @t167 () (|tptp.'matrix_vector_mult$'| @t17 @t5)) % 0.45/0.80 (define @t168 () (|tptp.'axis$'| @t50 @t5)) % 0.45/0.80 (define @t169 () (|tptp.'axis$a'| @t50 @t8)) % 0.45/0.80 (define @t170 () (@var "A__questionmark_v2" |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (define @t171 () (@var "A__questionmark_v4" |tptp.'A_n_vec$'|)) % 0.45/0.80 (define @t172 () (|tptp.'member$a'| @t171 @t170)) % 0.45/0.80 (define @t173 () (@var "A__questionmark_v3" |tptp.'A_n_vec$'|)) % 0.45/0.80 (define @t174 () (|tptp.'member$a'| @t173 @t146)) % 0.45/0.80 (define @t175 () (@list @t173 @t171)) % 0.45/0.80 (define @t176 () (@list @t34 @t146 @t170)) % 0.45/0.80 (define @t177 () (@var "A__questionmark_v2" |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (define @t178 () (@var "A__questionmark_v4" |tptp.'A_n_vec_n_vec$'|)) % 0.45/0.80 (define @t179 () (|tptp.'member$'| @t178 @t177)) % 0.45/0.80 (define @t180 () (|tptp.'member$'| @t44 @t151)) % 0.45/0.80 (define @t181 () (@list @t44 @t178)) % 0.45/0.80 (define @t182 () (@list @t17 @t151 @t177)) % 0.45/0.80 (define @t183 () (@var "A__questionmark_v2" |tptp.'A_set_set$'|)) % 0.45/0.80 (define @t184 () (@var "A__questionmark_v4" |tptp.'A_set$'|)) % 0.45/0.80 (define @t185 () (|tptp.'member$c'| @t184 @t183)) % 0.45/0.80 (define @t186 () (|tptp.'member$c'| @t163 @t156)) % 0.45/0.80 (define @t187 () (@list @t163 @t184)) % 0.45/0.80 (define @t188 () (@list @t7 @t156 @t183)) % 0.45/0.80 (define @t189 () (@var "A__questionmark_v2" |tptp.'Num_set$'|)) % 0.45/0.80 (define @t190 () (@var "A__questionmark_v4" |tptp.'Num$'|)) % 0.45/0.80 (define @t191 () (@var "A__questionmark_v3" |tptp.'Num$'|)) % 0.45/0.80 (define @t192 () (@var "A__questionmark_v4" |tptp.'A$'|)) % 0.45/0.80 (define @t193 () (|tptp.'member$b'| @t192 @t113)) % 0.45/0.80 (define @t194 () (|tptp.'member$b'| @t53 @t115)) % 0.45/0.80 (define @t195 () (@list @t53 @t192)) % 0.45/0.80 (define @t196 () (@list @t36 @t115 @t113)) % 0.45/0.80 (define @t197 () (|tptp.'vec$a'| @t5)) % 0.45/0.80 (define @t198 () (|tptp.'vec$a'| @t34)) % 0.45/0.80 (define @t199 () (= @t36 @t8)) % 0.45/0.80 (define @t200 () (|tptp.'vec$'| @t8)) % 0.45/0.80 (define @t201 () (|tptp.'vec$'| @t36)) % 0.45/0.80 (define @t202 () (@list @t17 @t5)) % 0.45/0.80 (define @t203 () (|tptp.'matrix_vector_mult$a'| @t63 @t39)) % 0.45/0.80 (define @t204 () (|tptp.'matrix_vector_mult$a'| @t85 @t39)) % 0.45/0.80 (define @t205 () (|tptp.'matrix_vector_mult$'| @t2 @t105)) % 0.45/0.80 (define @t206 () (|tptp.'matrix_vector_mult$'| @t17 @t105)) % 0.45/0.80 (define @t207 () (|tptp.'matrix_vector_mult$a'| (|tptp.'matrix_matrix_mult$a'| @t85 @t63) @t39)) % 0.45/0.80 (define @t208 () (@list @t85 @t63 @t39)) % 0.45/0.80 (define @t209 () (|tptp.'matrix_vector_mult$'| @t24 @t105)) % 0.45/0.80 (define @t210 () (@list @t17 @t2 @t105)) % 0.45/0.80 (define @t211 () (= @t50 @t54)) % 0.45/0.80 (define @t212 () (|tptp.'times$d'| @t4 @t170)) % 0.45/0.80 (define @t213 () (|tptp.'less_eq$'| @t170 @t145)) % 0.45/0.80 (define @t214 () (|tptp.'less_eq$'| @t4 @t146)) % 0.45/0.80 (define @t215 () (and @t214 @t213)) % 0.45/0.80 (define @t216 () (@list @t4 @t146 @t170 @t145)) % 0.45/0.80 (define @t217 () (|tptp.'times$e'| @t1 @t177)) % 0.45/0.80 (define @t218 () (|tptp.'less_eq$a'| @t177 @t150)) % 0.45/0.80 (define @t219 () (|tptp.'less_eq$a'| @t1 @t151)) % 0.45/0.80 (define @t220 () (and @t219 @t218)) % 0.45/0.80 (define @t221 () (@list @t1 @t151 @t177 @t150)) % 0.45/0.80 (define @t222 () (|tptp.'less_eq$b'| @t113 @t163)) % 0.45/0.80 (define @t223 () (|tptp.'less_eq$b'| @t7 @t115)) % 0.45/0.80 (define @t224 () (and @t223 @t222)) % 0.45/0.80 (define @t225 () (@list @t7 @t115 @t113 @t163)) % 0.45/0.80 (define @t226 () (@list @t4 @t146 @t170 @t145 @t171)) % 0.45/0.80 (define @t227 () (@list @t1 @t151 @t177 @t150 @t178)) % 0.45/0.80 (define @t228 () (@list @t7 @t115 @t113 @t163 @t192)) % 0.45/0.80 (define @t229 () (|tptp.'columnvector$'| @t34)) % 0.45/0.80 (define @t230 () (|tptp.'rowvector$'| @t34)) % 0.45/0.80 (define @t231 () (|tptp.'plus$'| @t7 @t113)) % 0.45/0.80 (define @t232 () (@var "A__questionmark_v3" |tptp.'A_n_vec_n_vec_set_set$'|)) % 0.45/0.80 (define @t233 () (@var "A__questionmark_v1" |tptp.'A_n_vec_n_vec_set_set$'|)) % 0.45/0.80 (define @t234 () (|tptp.'plus$b'| @t1 @t177)) % 0.45/0.80 (define @t235 () (|tptp.'plus$e'| @t146 @t145)) % 0.45/0.80 (define @t236 () (|tptp.'plus$d'| @t34 @t105)) % 0.45/0.80 (define @t237 () (@var "A__questionmark_v3" |tptp.'A_n_vec_set_set$'|)) % 0.45/0.80 (define @t238 () (@var "A__questionmark_v1" |tptp.'A_n_vec_set_set$'|)) % 0.45/0.80 (define @t239 () (|tptp.'plus$e'| @t4 @t170)) % 0.45/0.80 (define @t240 () (|tptp.'plus$b'| @t151 @t150)) % 0.45/0.80 (define @t241 () (|tptp.'plus$g'| @t17 @t39)) % 0.45/0.80 (define @t242 () (|tptp.'plus$'| @t115 @t163)) % 0.45/0.80 (define @t243 () (|tptp.'plus$h'| @t36 @t48)) % 0.45/0.80 (define @t244 () (= @t5 @t105)) % 0.45/0.80 (define @t245 () (|tptp.'plus$d'| @t34 @t5)) % 0.45/0.80 (define @t246 () (= @t245 @t236)) % 0.45/0.80 (define @t247 () (= @t2 @t39)) % 0.45/0.80 (define @t248 () (|tptp.'plus$g'| @t17 @t2)) % 0.45/0.80 (define @t249 () (= @t248 @t241)) % 0.45/0.80 (define @t250 () (|tptp.'plus$h'| @t36 @t8)) % 0.45/0.80 (define @t251 () (= @t250 @t243)) % 0.45/0.80 (define @t252 () (= @t34 @t105)) % 0.45/0.80 (define @t253 () (= @t245 (|tptp.'plus$d'| @t105 @t5))) % 0.45/0.80 (define @t254 () (= @t17 @t39)) % 0.45/0.80 (define @t255 () (= @t248 (|tptp.'plus$g'| @t39 @t2))) % 0.45/0.80 (define @t256 () (= @t250 (|tptp.'plus$h'| @t48 @t8))) % 0.45/0.80 (define @t257 () (|tptp.'plus$h'| @t8 @t36)) % 0.45/0.80 (define @t258 () (|tptp.'plus$g'| @t2 @t17)) % 0.45/0.80 (define @t259 () (|tptp.'plus$d'| @t5 @t34)) % 0.45/0.80 (define @t260 () (|tptp.'divide$'| @t36)) % 0.45/0.80 (define @t261 () (|tptp.'fun_app$d'| @t260 @t8)) % 0.45/0.80 (define @t262 () (|tptp.'divide$'| @t48)) % 0.45/0.80 (define @t263 () (|tptp.'divide$'| @t77)) % 0.45/0.80 (define @t264 () (|tptp.'divide$'| @t8)) % 0.45/0.80 (define @t265 () (|tptp.'fun_app$d'| @t264 @t48)) % 0.45/0.80 (define @t266 () (|tptp.'divide$'| @t93)) % 0.45/0.80 (define @t267 () (|tptp.'fun_app$d'| @t266 @t8)) % 0.45/0.80 (define @t268 () (|tptp.'divide$'| @t261)) % 0.45/0.80 (define @t269 () (|tptp.'fun_app$d'| @t268 @t48)) % 0.45/0.80 (define @t270 () (|tptp.'divide$'| @t76)) % 0.45/0.80 (define @t271 () (|tptp.'fun_app$d'| @t263 @t93)) % 0.45/0.80 (define @t272 () (=> @t74 (= @t271 @t265))) % 0.45/0.80 (define @t273 () (|tptp.'fun_app$d'| @t260 @t36)) % 0.45/0.80 (define @t274 () (=> @t74 (= @t273 |tptp.'one$'|))) % 0.45/0.80 (define @t275 () (and @t132 @t199)) % 0.45/0.80 (define @t276 () (|tptp.'fun_app$d'| (|tptp.'divide$'| |tptp.'one$'|) @t8)) % 0.45/0.80 (define @t277 () (|tptp.'plus$h'| @t261 @t48)) % 0.45/0.80 (define @t278 () (|tptp.'plus$h'| @t36 @t265)) % 0.45/0.80 (define @t279 () (= @t48 |tptp.'zero$'|)) % 0.45/0.80 (define @t280 () (not @t279)) % 0.45/0.80 (define @t281 () (|tptp.'times$'| @t53 @t36)) % 0.45/0.80 (define @t282 () (|tptp.'fun_app$d'| (|tptp.'divide$'| @t53) @t8)) % 0.45/0.80 (define @t283 () (|tptp.'fun_app$d'| @t262 @t36)) % 0.45/0.80 (define @t284 () (@list @t36 @t8 @t48 @t53)) % 0.45/0.80 (define @t285 () (|tptp.'fun_app$d'| @t264 @t36)) % 0.45/0.80 (define @t286 () (|tptp.'plus$h'| @t8 @t283)) % 0.45/0.80 (define @t287 () (|tptp.'fun_app$d'| @t262 @t53)) % 0.45/0.80 (define @t288 () (|tptp.'plus$h'| @t8 @t48)) % 0.45/0.80 (define @t289 () (|tptp.'plus$d'| @t5 @t105)) % 0.45/0.80 (define @t290 () (|tptp.'plus$g'| @t2 @t39)) % 0.45/0.80 (define @t291 () (@list @t34 @t5 @t105 @t173)) % 0.45/0.80 (define @t292 () (@list @t17 @t2 @t39 @t44)) % 0.45/0.80 (define @t293 () (@var "A__questionmark_v2" |tptp.'A_n_vec_n_vec_set_set$'|)) % 0.45/0.80 (define @t294 () (@var "A__questionmark_v4" |tptp.'A_n_vec_n_vec_set$'|)) % 0.45/0.80 (define @t295 () (@var "A__questionmark_v2" |tptp.'A_n_vec_set_set$'|)) % 0.45/0.80 (define @t296 () (@var "A__questionmark_v4" |tptp.'A_n_vec_set$'|)) % 0.45/0.80 (define @t297 () (|tptp.'plus$e'| @t146 @t170)) % 0.45/0.80 (define @t298 () (|tptp.'plus$b'| @t151 @t177)) % 0.45/0.80 (define @t299 () (|tptp.'plus$'| @t115 @t113)) % 0.45/0.80 (define @t300 () (|tptp.'plus$'| @t7 @t299)) % 0.45/0.80 (define @t301 () (|tptp.'plus$'| @t7 @t115)) % 0.45/0.80 (define @t302 () (|tptp.'plus$b'| @t1 @t298)) % 0.45/0.80 (define @t303 () (|tptp.'plus$b'| @t1 @t151)) % 0.45/0.80 (define @t304 () (@list @t1 @t151 @t177)) % 0.45/0.80 (define @t305 () (|tptp.'plus$d'| @t34 @t289)) % 0.45/0.80 (define @t306 () (|tptp.'plus$e'| @t4 @t297)) % 0.45/0.80 (define @t307 () (|tptp.'plus$e'| @t4 @t146)) % 0.45/0.80 (define @t308 () (@list @t4 @t146 @t170)) % 0.45/0.80 (define @t309 () (|tptp.'plus$g'| @t17 @t290)) % 0.45/0.80 (define @t310 () (|tptp.'plus$h'| @t36 @t288)) % 0.45/0.80 (define @t311 () (= @t7 @t299)) % 0.45/0.80 (define @t312 () (= @t1 @t298)) % 0.45/0.80 (define @t313 () (= @t34 @t289)) % 0.45/0.80 (define @t314 () (= @t4 @t297)) % 0.45/0.80 (define @t315 () (= @t17 @t290)) % 0.45/0.80 (define @t316 () (= @t36 @t288)) % 0.45/0.80 (define @t317 () (@list @t1 @t151)) % 0.45/0.80 (define @t318 () (@list @t4 @t146)) % 0.45/0.80 (define @t319 () (= @t76 @t48)) % 0.45/0.80 (define @t320 () (= @t8 @t283)) % 0.45/0.80 (define @t321 () (= @t8 @t100)) % 0.45/0.80 (define @t322 () (= @t285 @t48)) % 0.45/0.80 (define @t323 () (@var "A__questionmark_v1" |tptp.'Num$'|)) % 0.45/0.80 (define @t324 () (|tptp.'times$g'| @t162 @t323)) % 0.45/0.80 (define @t325 () (|tptp.'numeral$'| @t324)) % 0.45/0.80 (define @t326 () (|tptp.'numeral$'| @t323)) % 0.45/0.80 (define @t327 () (|tptp.'numeral$'| @t162)) % 0.45/0.80 (define @t328 () (@list @t162 @t323)) % 0.45/0.80 (define @t329 () (|tptp.'numeral$a'| @t324)) % 0.45/0.80 (define @t330 () (|tptp.'numeral$a'| @t323)) % 0.45/0.80 (define @t331 () (|tptp.'numeral$a'| @t162)) % 0.45/0.80 (define @t332 () (|tptp.'numeral$b'| @t324)) % 0.45/0.80 (define @t333 () (|tptp.'numeral$b'| @t323)) % 0.45/0.80 (define @t334 () (|tptp.'numeral$b'| @t162)) % 0.45/0.80 (define @t335 () (|tptp.'numeral$'| @t161)) % 0.45/0.80 (define @t336 () (|tptp.'numeral$a'| @t161)) % 0.45/0.80 (define @t337 () (|tptp.'numeral$b'| @t161)) % 0.45/0.80 (define @t338 () (|tptp.'times$'| @t36 @t337)) % 0.45/0.80 (define @t339 () (@list @t36 @t8 @t161)) % 0.45/0.80 (define @t340 () (not (= @t333 |tptp.'zero$'|))) % 0.45/0.80 (define @t341 () (not (= @t337 |tptp.'zero$'|))) % 0.45/0.80 (define @t342 () (@var "B" tptp.tlbool)) % 0.45/0.80 (define @t343 () (forall @t18 (= @t17 @t19))) % 0.45/0.80 (define @t344 () (= @t10 @t12)) % 0.45/0.80 (assume @p1 (forall (@list @t1 @t2) (= (|tptp.'fun_app$'| @t3 @t2) (|tptp.'member$'| @t2 @t1)))) % 0.45/0.80 (assume @p2 (forall (@list @t4 @t5) (= (|tptp.'fun_app$a'| @t6 @t5) (|tptp.'member$a'| @t5 @t4)))) % 0.45/0.80 (assume @p3 (forall (@list @t7 @t8) (= (|tptp.'fun_app$b'| @t9 @t8) (|tptp.'member$b'| @t8 @t7)))) % 0.45/0.80 (assume @p4 (not (= @t12 @t10))) % 0.45/0.80 (assume @p5 (|tptp.'fun_app$'| |tptp.'invertible$'| |tptp.'p$'|)) % 0.45/0.80 (assume @p6 (= @t14 @t13)) % 0.45/0.80 (assume @p7 (= @t16 @t12)) % 0.45/0.80 (assume @p8 (= |tptp.'a$'| @t12)) % 0.45/0.80 (assume @p9 (forall @t18 (= (|tptp.'matrix_matrix_mult$'| @t11 @t17) @t17))) % 0.45/0.80 (assume @p10 @t20) % 0.45/0.80 (assume @p11 (= @t13 @t16)) % 0.45/0.80 (assume @p12 (= |tptp.'a$'| @t14)) % 0.45/0.80 (assume @p13 (forall @t27 (=> @t26 (= @t21 @t2)))) % 0.45/0.80 (assume @p14 (forall @t27 (= @t25 @t23))) % 0.45/0.80 (assume @p15 (= @t28 @t15)) % 0.45/0.80 (assume @p16 (= @t28 @t11)) % 0.45/0.80 (assume @p17 (=> (forall @t18 (=> (and @t29 (= @t28 (|tptp.'matrix_matrix_mult$'| @t17 |tptp.'a$'|))) false)) false)) % 0.45/0.80 (assume @p18 (forall @t27 (=> (and @t29 @t30) (|tptp.'fun_app$'| |tptp.'invertible$'| @t24)))) % 0.45/0.80 (assume @p19 (forall @t18 (= @t29 @t32))) % 0.45/0.80 (assume @p20 (forall @t18 (= @t29 (exists @t31 @t26)))) % 0.45/0.80 (assume @p21 (forall @t18 (= @t29 @t33))) % 0.45/0.80 (assume @p22 (forall @t35 (= (= |tptp.'one$a'| @t34) (= @t34 |tptp.'one$a'|)))) % 0.45/0.80 (assume @p23 (forall @t18 (= (= |tptp.'one$b'| @t17) (= @t17 |tptp.'one$b'|)))) % 0.45/0.80 (assume @p24 (forall @t38 (= (= |tptp.'one$'| @t36) @t37))) % 0.45/0.80 (assume @p25 (forall @t18 (=> @t29 (= (|tptp.'matrix_matrix_mult$'| @t17 @t21) @t11)))) % 0.45/0.80 (assume @p26 (forall @t18 (=> @t29 (= (|tptp.'matrix_matrix_mult$'| @t21 @t17) @t11)))) % 0.45/0.80 (assume @p27 (forall @t41 (= (|tptp.'matrix_matrix_mult$'| @t17 @t40) (|tptp.'matrix_matrix_mult$'| @t24 @t39)))) % 0.45/0.80 (assume @p28 (forall @t18 (exists @t31 (and @t30 @t43)))) % 0.45/0.80 (assume @p29 (|tptp.'fun_app$'| |tptp.'invertible$'| @t11)) % 0.45/0.80 (assume @p30 (forall @t27 (= (|tptp.'fun_app$'| (|tptp.'equivalent_matrices$'| @t17) @t2) (exists (@list @t39 @t44) (and @t46 (|tptp.'fun_app$'| |tptp.'invertible$'| @t44) (= @t2 (|tptp.'matrix_matrix_mult$'| @t45 @t44))))))) % 0.45/0.80 (assume @p31 (forall @t27 (= (|tptp.'fun_app$'| (|tptp.'similar_matrices$'| @t17) @t2) (exists @t47 (and @t46 (= @t2 (|tptp.'matrix_matrix_mult$'| @t45 @t39))))))) % 0.45/0.80 (assume @p32 (|tptp.'fun_app$'| |tptp.'orthogonal_matrix$'| @t11)) % 0.45/0.80 (assume @p33 (forall @t52 (=> @t51 (|tptp.'fun_app$'| |tptp.'invertible$'| (|tptp.'column_add$'| @t11 @t50 @t49 @t48))))) % 0.45/0.80 (assume @p34 (forall (@list @t17 @t49 @t54 @t53) (= (|tptp.'matrix_matrix_mult$'| @t17 (|tptp.'column_add$'| @t11 @t49 @t54 @t53)) (|tptp.'column_add$'| @t17 @t49 @t54 @t53)))) % 0.45/0.80 (assume @p35 (forall @t18 (= (|tptp.'vector_matrix_mult$'| @t17 @t55) @t17))) % 0.45/0.80 (assume @p36 (forall @t35 (= (|tptp.'vector_matrix_mult$a'| @t34 @t11) @t34))) % 0.45/0.80 (assume @p37 (forall (@list @t17 @t49 @t48) (= (|tptp.'matrix_matrix_mult$'| @t17 (|tptp.'mult_column$'| @t11 @t49 @t48)) (|tptp.'mult_column$'| @t17 @t49 @t48)))) % 0.45/0.80 (assume @p38 (forall @t56 (|tptp.'fun_app$'| |tptp.'invertible$'| (|tptp.'interchange_columns$'| @t11 @t50 @t49)))) % 0.45/0.80 (assume @p39 (forall @t18 (= (exists @t31 (= (|tptp.'matrix_matrix_mult$'| @t57 @t2) @t11)) @t33))) % 0.45/0.80 (assume @p40 (forall @t27 (= (= @t57 @t59) @t58))) % 0.45/0.80 (assume @p41 (forall @t18 (= (|tptp.'transpose$'| @t57) @t17))) % 0.45/0.80 (assume @p42 (forall @t38 (= (|tptp.'transpose$'| @t60) @t60))) % 0.45/0.80 (assume @p43 (forall @t18 (= (|tptp.'fun_app$'| |tptp.'orthogonal_matrix$'| @t57) @t61))) % 0.45/0.80 (assume @p44 (forall @t27 (= (|tptp.'transpose$'| @t24) (|tptp.'matrix_matrix_mult$'| @t59 @t57)))) % 0.45/0.80 (assume @p45 (forall (@list @t17 @t63 @t62) (= (|tptp.'vector_matrix_mult$'| (|tptp.'vector_matrix_mult$'| @t17 @t63) @t62) (|tptp.'vector_matrix_mult$'| @t17 (|tptp.'matrix_matrix_mult$a'| @t63 @t62))))) % 0.45/0.80 (assume @p46 (forall (@list @t34 @t2 @t39) (= (|tptp.'vector_matrix_mult$a'| (|tptp.'vector_matrix_mult$a'| @t34 @t2) @t39) (|tptp.'vector_matrix_mult$a'| @t34 @t40)))) % 0.45/0.80 (assume @p47 (forall @t18 (= @t61 (and (= (|tptp.'matrix_matrix_mult$'| @t57 @t17) @t11) (= (|tptp.'matrix_matrix_mult$'| @t17 @t57) @t11))))) % 0.45/0.80 (assume @p48 (forall @t65 (= (|tptp.'matrix_matrix_mult$'| @t17 (|tptp.'interchange_columns$'| @t11 @t49 @t54)) @t64))) % 0.45/0.80 (assume @p49 (forall @t18 (= (exists @t31 (= (|tptp.'matrix_matrix_mult$'| @t2 @t57) @t11)) @t32))) % 0.45/0.80 (assume @p50 (forall (@list @t17 @t66) (exists @t47 (and @t46 (= (|tptp.'gauss_Jordan_upt_k$'| @t17 @t66) (|tptp.'matrix_matrix_mult$'| @t39 @t17)))))) % 0.45/0.80 (assume @p51 (forall (@list @t36 @t67) (= (|tptp.'member$b'| @t36 (|tptp.'collect$'| @t67)) (|tptp.'fun_app$b'| @t67 @t36)))) % 0.45/0.80 (assume @p52 (forall (@list @t17 @t68) (= (|tptp.'member$'| @t17 (|tptp.'collect$a'| @t68)) (|tptp.'fun_app$'| @t68 @t17)))) % 0.45/0.80 (assume @p53 (forall (@list @t34 @t69) (= (|tptp.'member$a'| @t34 (|tptp.'collect$b'| @t69)) (|tptp.'fun_app$a'| @t69 @t34)))) % 0.45/0.80 (assume @p54 (forall @t70 (= (|tptp.'collect$'| @t9) @t7))) % 0.45/0.80 (assume @p55 (forall @t71 (= (|tptp.'collect$a'| @t3) @t1))) % 0.45/0.80 (assume @p56 (forall @t72 (= (|tptp.'collect$b'| @t6) @t4))) % 0.45/0.80 (assume @p57 (forall @t75 (=> @t74 (|tptp.'fun_app$'| |tptp.'invertible$'| (|tptp.'mult_column$'| @t11 @t49 @t36))))) % 0.45/0.80 (assume @p58 (forall (@list @t50 @t8 @t39) (= (|tptp.'matrix_matrix_mult$'| (|tptp.'mult_row$'| @t11 @t50 @t8) @t39) (|tptp.'mult_row$'| @t39 @t50 @t8)))) % 0.45/0.80 (assume @p59 (forall @t79 (=> @t78 (|tptp.'fun_app$'| |tptp.'invertible$'| (|tptp.'mult_column$'| @t11 @t54 @t36))))) % 0.45/0.80 (assume @p60 (forall @t18 (exists @t31 (and @t30 @t43 @t80)))) % 0.45/0.80 (assume @p61 (forall @t56 (|tptp.'fun_app$'| |tptp.'invertible$'| @t81))) % 0.45/0.80 (assume @p62 (forall (@list @t50 @t49 @t39) (= (|tptp.'matrix_matrix_mult$'| @t81 @t39) (|tptp.'fun_app$c'| (|tptp.'interchange_rows$'| @t39 @t50) @t49)))) % 0.45/0.80 (assume @p63 (forall @t52 (=> @t51 (|tptp.'fun_app$'| |tptp.'invertible$'| @t82)))) % 0.45/0.80 (assume @p64 (forall (@list @t50 @t49 @t48 @t44) (= (|tptp.'matrix_matrix_mult$'| @t82 @t44) (|tptp.'row_add$'| @t44 @t50 @t49 @t48)))) % 0.45/0.80 (assume @p65 (forall @t65 (= @t64 (|tptp.'transpose$'| @t83)))) % 0.45/0.80 (assume @p66 (forall @t18 (= (|tptp.'matrix_matrix_mult$'| @t17 |tptp.'zero$a'|) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p67 (forall @t18 (= (|tptp.'matrix_matrix_mult$'| |tptp.'zero$a'| @t17) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p68 (forall @t18 (= (= @t57 |tptp.'zero$a'|) @t84))) % 0.45/0.80 (assume @p69 (forall @t18 (= (|tptp.'vector_matrix_mult$'| @t17 |tptp.'zero$b'|) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p70 (forall @t35 (= (|tptp.'vector_matrix_mult$a'| @t34 |tptp.'zero$a'|) |tptp.'zero$c'|))) % 0.45/0.80 (assume @p71 (forall @t86 (= (|tptp.'vector_matrix_mult$'| |tptp.'zero$a'| @t85) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p72 (forall @t18 (= (|tptp.'vector_matrix_mult$a'| |tptp.'zero$c'| @t17) |tptp.'zero$c'|))) % 0.45/0.80 (assume @p73 (forall @t91 (= @t90 (or @t88 @t87)))) % 0.45/0.80 (assume @p74 (forall @t91 (= @t94 (or @t92 @t73)))) % 0.45/0.80 (assume @p75 (forall @t38 (= (|tptp.'times$'| @t36 |tptp.'zero$'|) |tptp.'zero$'|))) % 0.45/0.80 (assume @p76 (forall @t38 (= (|tptp.'times$'| |tptp.'zero$'| @t36) |tptp.'zero$'|))) % 0.45/0.80 (assume @p77 (forall @t97 (= @t96 @t95))) % 0.45/0.80 (assume @p78 (forall @t35 (= (|tptp.'times$a'| |tptp.'one$a'| @t34) @t34))) % 0.45/0.80 (assume @p79 (forall @t18 (= (|tptp.'times$b'| |tptp.'one$b'| @t17) @t17))) % 0.45/0.80 (assume @p80 (forall @t70 (= (|tptp.'times$c'| |tptp.'one$c'| @t7) @t7))) % 0.45/0.80 (assume @p81 (forall @t38 (= (|tptp.'times$'| |tptp.'one$'| @t36) @t36))) % 0.45/0.80 (assume @p82 (forall @t35 (= (|tptp.'times$a'| @t34 |tptp.'one$a'|) @t34))) % 0.45/0.80 (assume @p83 (forall @t18 (= (|tptp.'times$b'| @t17 |tptp.'one$b'|) @t17))) % 0.45/0.80 (assume @p84 (forall @t70 (= (|tptp.'times$c'| @t7 |tptp.'one$c'|) @t7))) % 0.45/0.80 (assume @p85 (forall @t38 (= (|tptp.'times$'| @t36 |tptp.'one$'|) @t36))) % 0.45/0.80 (assume @p86 (= (|tptp.'mat$'| |tptp.'zero$'|) |tptp.'zero$a'|)) % 0.45/0.80 (assume @p87 (forall (@list @t17 @t49) (= (|tptp.'fun_app$c'| @t98 @t49) @t17))) % 0.45/0.80 (assume @p88 (forall @t38 (= (= |tptp.'zero$'| @t36) @t73))) % 0.45/0.80 (assume @p89 (forall @t18 (= (= |tptp.'zero$a'| @t17) @t84))) % 0.45/0.80 (assume @p90 (forall @t35 (= (= |tptp.'zero$c'| @t34) @t99))) % 0.45/0.80 (assume @p91 (forall @t91 (=> (and @t74 @t101) @t92))) % 0.45/0.80 (assume @p92 (forall @t91 (= @t103 (|tptp.'times$'| @t8 @t93)))) % 0.45/0.80 (assume @p93 (forall @t91 (=> (and @t74 @t94) @t92))) % 0.45/0.80 (assume @p94 (forall @t91 (= @t103 @t104))) % 0.45/0.80 (assume @p95 (forall @t109 (= @t108 (|tptp.'times$a'| @t5 @t106)))) % 0.45/0.80 (assume @p96 (forall @t41 (= @t112 (|tptp.'times$b'| @t2 @t110)))) % 0.45/0.80 (assume @p97 (forall @t118 (= @t117 (|tptp.'times$c'| @t115 @t114)))) % 0.45/0.80 (assume @p98 (forall @t120 (= @t119 (|tptp.'times$a'| @t5 @t34)))) % 0.45/0.80 (assume @p99 (forall @t27 (= @t121 (|tptp.'times$b'| @t2 @t17)))) % 0.45/0.80 (assume @p100 (forall @t123 (= @t122 (|tptp.'times$c'| @t115 @t7)))) % 0.45/0.80 (assume @p101 (forall @t97 (= @t77 @t76))) % 0.45/0.80 (assume @p102 (forall @t109 (= (|tptp.'times$a'| @t119 @t105) @t108))) % 0.45/0.80 (assume @p103 (forall @t41 (= (|tptp.'times$b'| @t121 @t39) @t112))) % 0.45/0.80 (assume @p104 (forall @t118 (= (|tptp.'times$c'| @t122 @t113) @t117))) % 0.45/0.80 (assume @p105 (forall @t91 (= @t104 @t103))) % 0.45/0.80 (assume @p106 (forall @t18 (=> @t125 (not @t124)))) % 0.45/0.80 (assume @p107 (forall @t18 (=> @t84 @t124))) % 0.45/0.80 (assume @p108 (forall @t18 @t80)) % 0.45/0.80 (assume @p109 (forall @t79 (=> @t78 (|tptp.'fun_app$'| |tptp.'invertible$'| (|tptp.'mult_row$'| @t11 @t54 @t36))))) % 0.45/0.80 (assume @p110 (forall @t75 (=> @t74 (|tptp.'fun_app$'| |tptp.'invertible$'| (|tptp.'mult_row$'| @t11 @t49 @t36))))) % 0.45/0.80 (assume @p111 (forall @t38 (=> @t74 (|tptp.'fun_app$'| |tptp.'invertible$'| @t60)))) % 0.45/0.80 (assume @p112 (forall @t65 (= @t83 (|tptp.'transpose$'| @t64)))) % 0.45/0.80 (assume @p113 (forall @t65 (= @t127 (|tptp.'transpose$'| @t126)))) % 0.45/0.80 (assume @p114 (forall @t65 (= @t126 (|tptp.'transpose$'| @t127)))) % 0.45/0.80 (assume @p115 (forall @t97 (= (= @t77 @t8) (or @t87 @t37)))) % 0.45/0.80 (assume @p116 (forall @t97 (= (= @t36 @t76) @t128))) % 0.45/0.80 (assume @p117 (forall @t97 (= (= @t77 @t36) @t128))) % 0.45/0.80 (assume @p118 (forall @t97 (= (= @t36 @t77) @t128))) % 0.45/0.80 (assume @p119 (forall @t18 (= (|tptp.'times$b'| |tptp.'zero$a'| @t17) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p120 (forall @t35 (= (|tptp.'times$a'| |tptp.'zero$c'| @t34) |tptp.'zero$c'|))) % 0.45/0.80 (assume @p121 (forall @t18 (= (|tptp.'times$b'| @t17 |tptp.'zero$a'|) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p122 (forall @t35 (= (|tptp.'times$a'| @t34 |tptp.'zero$c'|) |tptp.'zero$c'|))) % 0.45/0.80 (assume @p123 (forall @t91 (= @t94 @t129))) % 0.45/0.80 (assume @p124 (forall @t91 (= @t90 @t130))) % 0.45/0.80 (assume @p125 (forall @t91 (=> @t74 (= @t101 @t92)))) % 0.45/0.80 (assume @p126 (forall @t91 (=> @t74 (= @t94 @t92)))) % 0.45/0.80 (assume @p127 (forall @t97 (=> @t133 @t131))) % 0.45/0.80 (assume @p128 (forall @t97 (=> @t96 @t95))) % 0.45/0.80 (assume @p129 (forall @t27 (=> (not (= @t121 |tptp.'zero$a'|)) (and @t125 (not @t134))))) % 0.45/0.80 (assume @p130 (forall @t120 (=> (not (= @t119 |tptp.'zero$c'|)) (and (not @t99) (not @t135))))) % 0.45/0.80 (assume @p131 (forall @t97 (=> @t131 @t133))) % 0.45/0.80 (assume @p132 (not (= |tptp.'zero$a'| |tptp.'one$b'|))) % 0.45/0.80 (assume @p133 (not (= |tptp.'zero$c'| |tptp.'one$a'|))) % 0.45/0.80 (assume @p134 (not (= |tptp.'zero$'| |tptp.'one$'|))) % 0.45/0.80 (assume @p135 (forall (@list @t137 @t2) (and (=> @t138 (and (=> @t138 (= @t140 @t2)) (=> @t139 (= @t140 |tptp.'zero$a'|)))) (=> @t139 (and (=> @t138 (= @t136 @t2)) (=> @t139 (= @t136 |tptp.'zero$a'|))))))) % 0.45/0.80 (assume @p136 (forall (@list @t137 @t5) (and (=> @t138 (and (=> @t138 (= @t142 @t5)) (=> @t139 (= @t142 |tptp.'zero$c'|)))) (=> @t139 (and (=> @t138 (= @t141 @t5)) (=> @t139 (= @t141 |tptp.'zero$c'|))))))) % 0.45/0.80 (assume @p137 (forall (@list @t137 @t8) (and (=> @t138 (and (=> @t138 (= @t144 @t8)) (=> @t139 (= @t144 |tptp.'zero$'|)))) (=> @t139 (and (=> @t138 (= @t143 @t8)) (=> @t139 (= @t143 |tptp.'zero$'|))))))) % 0.45/0.80 (assume @p138 (forall @t149 (=> @t148 (|tptp.'member$a'| @t106 @t147)))) % 0.45/0.80 (assume @p139 (forall @t154 (=> @t153 (|tptp.'member$'| @t110 @t152)))) % 0.45/0.80 (assume @p140 (forall @t158 (=> @t157 (|tptp.'member$c'| @t114 (|tptp.'times$f'| @t156 @t155))))) % 0.45/0.80 (assume @p141 (forall (@list @t162 @t160 @t161 @t159) (=> (and (|tptp.'member$d'| @t162 @t160) (|tptp.'member$d'| @t161 @t159)) (|tptp.'member$d'| (|tptp.'times$g'| @t162 @t161) (|tptp.'times$h'| @t160 @t159))))) % 0.45/0.80 (assume @p142 (forall @t166 (=> @t165 (|tptp.'member$b'| @t93 @t164)))) % 0.45/0.80 (assume @p143 (forall @t18 (= @t33 (forall (@list @t5) (=> (= @t167 |tptp.'zero$c'|) @t135))))) % 0.45/0.80 (assume @p144 (forall (@list @t50 @t5) (= (= @t168 |tptp.'zero$a'|) @t135))) % 0.45/0.80 (assume @p145 (forall (@list @t50 @t8) (= (= @t169 |tptp.'zero$c'|) @t87))) % 0.45/0.80 (assume @p146 (= (|tptp.'vec$'| |tptp.'zero$'|) |tptp.'zero$c'|)) % 0.45/0.80 (assume @p147 (= (|tptp.'vec$a'| |tptp.'zero$c'|) |tptp.'zero$a'|)) % 0.45/0.80 (assume @p148 (forall @t176 (=> (and (|tptp.'member$a'| @t34 (|tptp.'times$d'| @t146 @t170)) (forall @t175 (=> (and (= @t34 (|tptp.'times$a'| @t173 @t171)) @t174 @t172) false))) false))) % 0.45/0.80 (assume @p149 (forall @t182 (=> (and (|tptp.'member$'| @t17 (|tptp.'times$e'| @t151 @t177)) (forall @t181 (=> (and (= @t17 (|tptp.'times$b'| @t44 @t178)) @t180 @t179) false))) false))) % 0.45/0.80 (assume @p150 (forall @t188 (=> (and (|tptp.'member$c'| @t7 (|tptp.'times$f'| @t156 @t183)) (forall @t187 (=> (and (= @t7 (|tptp.'times$c'| @t163 @t184)) @t186 @t185) false))) false))) % 0.45/0.80 (assume @p151 (forall (@list @t162 @t160 @t189) (=> (and (|tptp.'member$d'| @t162 (|tptp.'times$h'| @t160 @t189)) (forall (@list @t191 @t190) (=> (and (= @t162 (|tptp.'times$g'| @t191 @t190)) (|tptp.'member$d'| @t191 @t160) (|tptp.'member$d'| @t190 @t189)) false))) false))) % 0.45/0.80 (assume @p152 (forall @t196 (=> (and (|tptp.'member$b'| @t36 @t116) (forall @t195 (=> (and (= @t36 (|tptp.'times$'| @t53 @t192)) @t194 @t193) false))) false))) % 0.45/0.80 (assume @p153 (forall @t120 (= (= @t198 @t197) (= @t34 @t5)))) % 0.45/0.80 (assume @p154 (forall @t97 (= (= @t201 @t200) @t199))) % 0.45/0.80 (assume @p155 (= (|tptp.'vec$a'| |tptp.'one$a'|) |tptp.'one$b'|)) % 0.45/0.80 (assume @p156 (= (|tptp.'vec$'| |tptp.'one$'|) |tptp.'one$a'|)) % 0.45/0.80 (assume @p157 (forall @t18 (= (|tptp.'matrix_vector_mult$'| @t17 |tptp.'zero$c'|) |tptp.'zero$c'|))) % 0.45/0.80 (assume @p158 (forall @t86 (= (|tptp.'matrix_vector_mult$a'| @t85 |tptp.'zero$a'|) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p159 (forall @t18 (= (|tptp.'matrix_vector_mult$a'| @t55 @t17) @t17))) % 0.45/0.80 (assume @p160 (forall @t35 (= (|tptp.'matrix_vector_mult$'| @t11 @t34) @t34))) % 0.45/0.80 (assume @p161 (forall @t18 (= (|tptp.'matrix_vector_mult$a'| |tptp.'zero$b'| @t17) |tptp.'zero$a'|))) % 0.45/0.80 (assume @p162 (forall @t35 (= (|tptp.'matrix_vector_mult$'| |tptp.'zero$a'| @t34) |tptp.'zero$c'|))) % 0.45/0.80 (assume @p163 (forall (@list @t17 @t63) (= (|tptp.'vector_matrix_mult$'| @t17 (|tptp.'transpose$a'| @t63)) (|tptp.'matrix_vector_mult$a'| @t63 @t17)))) % 0.45/0.80 (assume @p164 (forall (@list @t34 @t2) (= (|tptp.'vector_matrix_mult$a'| @t34 @t59) (|tptp.'matrix_vector_mult$'| @t2 @t34)))) % 0.45/0.80 (assume @p165 (forall (@list @t85 @t2) (= (|tptp.'matrix_vector_mult$a'| (|tptp.'transpose$a'| @t85) @t2) (|tptp.'vector_matrix_mult$'| @t2 @t85)))) % 0.45/0.80 (assume @p166 (forall @t202 (= (|tptp.'matrix_vector_mult$'| @t57 @t5) (|tptp.'vector_matrix_mult$a'| @t5 @t17)))) % 0.45/0.80 (assume @p167 (forall (@list @t85 @t63) (= (= @t85 @t63) (forall @t47 (= @t204 @t203))))) % 0.45/0.80 (assume @p168 (forall @t27 (= @t58 (forall (@list @t105) (= @t206 @t205))))) % 0.45/0.80 (assume @p169 (forall @t208 (= (|tptp.'matrix_vector_mult$a'| @t85 @t203) @t207))) % 0.45/0.80 (assume @p170 (forall @t210 (= (|tptp.'matrix_vector_mult$'| @t17 @t205) @t209))) % 0.45/0.80 (assume @p171 (forall (@list @t50 @t8 @t54 @t53) (= (= @t169 (|tptp.'axis$a'| @t54 @t53)) (or (and (= @t8 @t53) @t211) (and @t87 (= @t53 |tptp.'zero$'|)))))) % 0.45/0.80 (assume @p172 (forall (@list @t50 @t5 @t54 @t173) (= (= @t168 (|tptp.'axis$'| @t54 @t173)) (or (and (= @t5 @t173) @t211) (and @t135 (= @t173 |tptp.'zero$c'|)))))) % 0.45/0.80 (assume @p173 (forall @t208 (=> (|tptp.'invertible$a'| @t85) (= (= @t207 |tptp.'zero$a'|) (= @t203 |tptp.'zero$a'|))))) % 0.45/0.80 (assume @p174 (forall @t210 (=> @t29 (= (= @t209 |tptp.'zero$c'|) (= @t205 |tptp.'zero$c'|))))) % 0.45/0.80 (assume @p175 (forall @t202 (= (|tptp.'columnvector$'| @t167) (|tptp.'matrix_matrix_mult$'| @t17 (|tptp.'columnvector$'| @t5))))) % 0.45/0.80 (assume @p176 (forall (@list @t50 @t2 @t39) (= (|tptp.'column$'| @t50 @t40) (|tptp.'matrix_vector_mult$'| @t2 (|tptp.'column$'| @t50 @t39))))) % 0.45/0.80 (assume @p177 (forall @t216 (=> @t215 (|tptp.'less_eq$'| @t212 @t147)))) % 0.45/0.80 (assume @p178 (forall @t221 (=> @t220 (|tptp.'less_eq$a'| @t217 @t152)))) % 0.45/0.80 (assume @p179 (forall @t225 (=> @t224 (|tptp.'less_eq$b'| @t114 @t164)))) % 0.45/0.80 (assume @p180 (forall @t226 (=> (and @t214 @t213 (|tptp.'member$a'| @t171 @t212)) (|tptp.'member$a'| @t171 @t147)))) % 0.45/0.80 (assume @p181 (forall @t227 (=> (and @t219 @t218 (|tptp.'member$'| @t178 @t217)) (|tptp.'member$'| @t178 @t152)))) % 0.45/0.80 (assume @p182 (forall @t228 (=> (and @t223 @t222 (|tptp.'member$b'| @t192 @t114)) (|tptp.'member$b'| @t192 @t164)))) % 0.45/0.80 (assume @p183 (forall @t35 (= (|tptp.'transpose$'| @t230) @t229))) % 0.45/0.80 (assume @p184 (forall @t35 (= (|tptp.'transpose$'| @t229) @t230))) % 0.45/0.80 (assume @p185 (= (|tptp.'dbl_inc$'| |tptp.'zero$a'|) |tptp.'one$b'|)) % 0.45/0.80 (assume @p186 (= (|tptp.'dbl_inc$a'| |tptp.'zero$c'|) |tptp.'one$a'|)) % 0.45/0.80 (assume @p187 (= (|tptp.'dbl_inc$b'| |tptp.'zero$'|) |tptp.'one$'|)) % 0.45/0.80 (assume @p188 (forall @t158 (=> @t157 (|tptp.'member$c'| @t231 (|tptp.'plus$a'| @t156 @t155))))) % 0.45/0.80 (assume @p189 (forall (@list @t1 @t233 @t177 @t232) (=> (and (|tptp.'member$e'| @t1 @t233) (|tptp.'member$e'| @t177 @t232)) (|tptp.'member$e'| @t234 (|tptp.'plus$c'| @t233 @t232))))) % 0.45/0.80 (assume @p190 (forall @t149 (=> @t148 (|tptp.'member$a'| @t236 @t235)))) % 0.45/0.80 (assume @p191 (forall (@list @t4 @t238 @t170 @t237) (=> (and (|tptp.'member$f'| @t4 @t238) (|tptp.'member$f'| @t170 @t237)) (|tptp.'member$f'| @t239 (|tptp.'plus$f'| @t238 @t237))))) % 0.45/0.80 (assume @p192 (forall @t154 (=> @t153 (|tptp.'member$'| @t241 @t240)))) % 0.45/0.80 (assume @p193 (forall @t166 (=> @t165 (|tptp.'member$b'| @t243 @t242)))) % 0.45/0.80 (assume @p194 (forall @t109 (= @t246 @t244))) % 0.45/0.80 (assume @p195 (forall @t41 (= @t249 @t247))) % 0.45/0.80 (assume @p196 (forall @t91 (= @t251 @t92))) % 0.45/0.80 (assume @p197 (forall @t109 (= @t253 @t252))) % 0.45/0.80 (assume @p198 (forall @t41 (= @t255 @t254))) % 0.45/0.80 (assume @p199 (forall @t91 (= @t256 @t88))) % 0.45/0.80 (assume @p200 (forall @t216 (=> @t215 (|tptp.'less_eq$'| @t239 @t235)))) % 0.45/0.80 (assume @p201 (forall @t221 (=> @t220 (|tptp.'less_eq$a'| @t234 @t240)))) % 0.45/0.80 (assume @p202 (forall @t225 (=> @t224 (|tptp.'less_eq$b'| @t231 @t242)))) % 0.45/0.80 (assume @p203 (forall @t70 (= (|tptp.'plus$'| @t7 |tptp.'zero$d'|) @t7))) % 0.45/0.80 (assume @p204 (forall @t71 (= (|tptp.'plus$b'| @t1 |tptp.'zero$e'|) @t1))) % 0.45/0.80 (assume @p205 (forall @t72 (= (|tptp.'plus$e'| @t4 |tptp.'zero$f'|) @t4))) % 0.45/0.80 (assume @p206 (forall @t38 (= (|tptp.'plus$h'| @t36 |tptp.'zero$'|) @t36))) % 0.45/0.80 (assume @p207 (forall @t18 (= (|tptp.'plus$g'| @t17 |tptp.'zero$a'|) @t17))) % 0.45/0.80 (assume @p208 (forall @t35 (= (|tptp.'plus$d'| @t34 |tptp.'zero$c'|) @t34))) % 0.45/0.80 (assume @p209 (forall @t97 (= (= @t250 @t8) @t73))) % 0.45/0.80 (assume @p210 (forall @t27 (= (= @t248 @t2) @t84))) % 0.45/0.80 (assume @p211 (forall @t120 (= (= @t245 @t5) @t99))) % 0.45/0.80 (assume @p212 (forall @t97 (= (= @t250 @t36) @t87))) % 0.45/0.80 (assume @p213 (forall @t27 (= (= @t248 @t17) @t134))) % 0.45/0.80 (assume @p214 (forall @t120 (= (= @t245 @t34) @t135))) % 0.45/0.80 (assume @p215 (forall @t97 (= (= @t36 @t257) @t87))) % 0.45/0.80 (assume @p216 (forall @t27 (= (= @t17 @t258) @t134))) % 0.45/0.80 (assume @p217 (forall @t120 (= (= @t34 @t259) @t135))) % 0.45/0.80 (assume @p218 (forall @t97 (= (= @t36 @t250) @t87))) % 0.45/0.80 (assume @p219 (forall @t27 (= (= @t17 @t248) @t134))) % 0.45/0.80 (assume @p220 (forall @t120 (= (= @t34 @t245) @t135))) % 0.45/0.80 (assume @p221 (forall @t70 (= (|tptp.'plus$'| |tptp.'zero$d'| @t7) @t7))) % 0.45/0.80 (assume @p222 (forall @t71 (= (|tptp.'plus$b'| |tptp.'zero$e'| @t1) @t1))) % 0.45/0.80 (assume @p223 (forall @t72 (= (|tptp.'plus$e'| |tptp.'zero$f'| @t4) @t4))) % 0.45/0.80 (assume @p224 (forall @t38 (= (|tptp.'plus$h'| |tptp.'zero$'| @t36) @t36))) % 0.45/0.80 (assume @p225 (forall @t18 (= (|tptp.'plus$g'| |tptp.'zero$a'| @t17) @t17))) % 0.45/0.80 (assume @p226 (forall @t35 (= (|tptp.'plus$d'| |tptp.'zero$c'| @t34) @t34))) % 0.45/0.80 (assume @p227 (forall @t38 (= (|tptp.'fun_app$d'| @t260 |tptp.'zero$'|) |tptp.'zero$'|))) % 0.45/0.80 (assume @p228 (forall @t38 (= (|tptp.'fun_app$d'| (|tptp.'divide$'| |tptp.'zero$'|) @t36) |tptp.'zero$'|))) % 0.45/0.80 (assume @p229 (forall @t97 (= (= @t261 |tptp.'zero$'|) @t95))) % 0.45/0.80 (assume @p230 (forall @t91 (= (= @t261 (|tptp.'fun_app$d'| @t260 @t48)) @t129))) % 0.45/0.80 (assume @p231 (forall @t91 (= (= @t261 (|tptp.'fun_app$d'| @t262 @t8)) @t130))) % 0.45/0.80 (assume @p232 (forall @t91 (= (|tptp.'times$'| @t36 @t265) (|tptp.'fun_app$d'| @t263 @t48)))) % 0.45/0.80 (assume @p233 (forall @t91 (= (|tptp.'fun_app$d'| @t260 @t265) @t267))) % 0.45/0.80 (assume @p234 (forall @t91 (= @t269 (|tptp.'fun_app$d'| @t260 @t102)))) % 0.45/0.80 (assume @p235 (forall @t91 (= (|tptp.'times$'| @t261 @t48) @t267))) % 0.45/0.80 (assume @p236 (forall @t38 (= (|tptp.'fun_app$d'| @t260 |tptp.'one$'|) @t36))) % 0.45/0.80 (assume @p237 (forall @t97 (=> @t74 (= (|tptp.'fun_app$d'| @t270 @t36) @t8)))) % 0.45/0.80 (assume @p238 (forall @t97 (=> @t74 (= (|tptp.'fun_app$d'| @t263 @t36) @t8)))) % 0.45/0.80 (assume @p239 (forall @t91 (=> @t74 (= (|tptp.'fun_app$d'| @t270 @t93) @t265)))) % 0.45/0.80 (assume @p240 (forall @t91 (=> @t74 (= (|tptp.'fun_app$d'| @t270 @t100) @t265)))) % 0.45/0.80 (assume @p241 (forall @t91 (=> @t74 (= (|tptp.'fun_app$d'| @t263 @t100) @t265)))) % 0.45/0.80 (assume @p242 (forall @t91 @t272)) % 0.45/0.80 (assume @p243 (forall @t91 (and (=> @t73 (= @t271 |tptp.'zero$'|)) @t272))) % 0.45/0.80 (assume @p244 (forall @t38 @t274)) % 0.45/0.80 (assume @p245 (forall @t97 (= (= @t261 |tptp.'one$'|) @t275))) % 0.45/0.80 (assume @p246 (forall @t97 (= (= |tptp.'one$'| @t261) @t275))) % 0.45/0.80 (assume @p247 (forall @t38 (and (=> @t73 (= @t273 |tptp.'zero$'|)) @t274))) % 0.45/0.80 (assume @p248 (forall @t97 (=> @t74 (= (|tptp.'fun_app$d'| @t260 @t77) @t276)))) % 0.45/0.80 (assume @p249 (forall @t97 (=> @t74 (= (|tptp.'fun_app$d'| @t260 @t76) @t276)))) % 0.45/0.80 (assume @p250 (forall @t91 (and (=> @t87 (= @t277 @t48)) (=> @t132 (= @t277 (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'plus$h'| @t36 @t89)) @t8)))))) % 0.45/0.80 (assume @p251 (forall @t91 (and (=> @t279 (= @t278 @t36)) (=> @t280 (= @t278 (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'plus$h'| @t93 @t8)) @t48)))))) % 0.45/0.80 (assume @p252 (forall @t284 (=> @t133 (= (|tptp.'plus$h'| @t283 @t282) (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'plus$h'| @t89 @t281)) @t77))))) % 0.45/0.80 (assume @p253 (forall @t91 (=> @t74 (= (|tptp.'plus$h'| @t285 @t48) (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'plus$h'| @t8 @t100)) @t36))))) % 0.45/0.80 (assume @p254 (forall @t91 (=> @t74 (= @t286 (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'plus$h'| @t48 @t76)) @t36))))) % 0.45/0.80 (assume @p255 (forall @t91 (=> @t74 (= @t286 (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'plus$h'| @t76 @t48)) @t36))))) % 0.45/0.80 (assume @p256 (forall @t91 (= @t269 (|tptp.'fun_app$d'| @t260 @t89)))) % 0.45/0.80 (assume @p257 (forall @t284 (= (|tptp.'fun_app$d'| @t268 @t287) (|tptp.'fun_app$d'| (|tptp.'divide$'| (|tptp.'times$'| @t36 @t53)) @t102)))) % 0.45/0.80 (assume @p258 (forall @t284 (= (|tptp.'times$'| @t261 @t287) (|tptp.'fun_app$d'| @t266 (|tptp.'times$'| @t8 @t53))))) % 0.45/0.80 (assume @p259 (forall @t91 (= (|tptp.'times$'| @t36 @t288) (|tptp.'plus$h'| @t77 @t93)))) % 0.45/0.80 (assume @p260 (forall @t91 (= (|tptp.'times$'| @t250 @t48) (|tptp.'plus$h'| @t93 @t102)))) % 0.45/0.80 (assume @p261 (forall @t109 (= (|tptp.'times$a'| @t245 @t105) (|tptp.'plus$d'| @t106 @t107)))) % 0.45/0.80 (assume @p262 (forall @t41 (= (|tptp.'times$b'| @t248 @t39) (|tptp.'plus$g'| @t110 @t111)))) % 0.45/0.80 (assume @p263 (forall @t109 (= (|tptp.'times$a'| @t34 @t289) (|tptp.'plus$d'| @t119 @t106)))) % 0.45/0.80 (assume @p264 (forall @t41 (= (|tptp.'times$b'| @t17 @t290) (|tptp.'plus$g'| @t121 @t110)))) % 0.45/0.80 (assume @p265 (forall @t291 (= (|tptp.'plus$d'| @t119 (|tptp.'plus$d'| (|tptp.'times$a'| @t105 @t5) @t173)) (|tptp.'plus$d'| (|tptp.'times$a'| @t236 @t5) @t173)))) % 0.45/0.80 (assume @p266 (forall @t292 (= (|tptp.'plus$g'| @t121 (|tptp.'plus$g'| (|tptp.'times$b'| @t39 @t2) @t44)) (|tptp.'plus$g'| (|tptp.'times$b'| @t241 @t2) @t44)))) % 0.45/0.80 (assume @p267 (forall @t284 (= (|tptp.'plus$h'| @t77 (|tptp.'plus$h'| @t89 @t53)) (|tptp.'plus$h'| (|tptp.'times$'| @t243 @t8) @t53)))) % 0.45/0.80 (assume @p268 (forall @t226 (=> (and @t214 @t213 (|tptp.'member$a'| @t171 @t239)) (|tptp.'member$a'| @t171 @t235)))) % 0.45/0.80 (assume @p269 (forall @t227 (=> (and @t219 @t218 (|tptp.'member$'| @t178 @t234)) (|tptp.'member$'| @t178 @t240)))) % 0.45/0.80 (assume @p270 (forall @t228 (=> (and @t223 @t222 (|tptp.'member$b'| @t192 @t231)) (|tptp.'member$b'| @t192 @t242)))) % 0.45/0.80 (assume @p271 (forall (@list @t85 @t2 @t39) (= (|tptp.'matrix_vector_mult$a'| @t85 @t290) (|tptp.'plus$g'| (|tptp.'matrix_vector_mult$a'| @t85 @t2) @t204)))) % 0.45/0.80 (assume @p272 (forall (@list @t17 @t5 @t105) (= (|tptp.'matrix_vector_mult$'| @t17 @t289) (|tptp.'plus$d'| @t167 @t206)))) % 0.45/0.80 (assume @p273 (forall @t41 (= (|tptp.'matrix_matrix_mult$'| @t17 @t290) (|tptp.'plus$g'| @t24 (|tptp.'matrix_matrix_mult$'| @t17 @t39))))) % 0.45/0.80 (assume @p274 (forall @t188 (=> (and (|tptp.'member$c'| @t7 (|tptp.'plus$a'| @t156 @t183)) (forall @t187 (=> (and (= @t7 (|tptp.'plus$'| @t163 @t184)) @t186 @t185) false))) false))) % 0.45/0.80 (assume @p275 (forall (@list @t1 @t233 @t293) (=> (and (|tptp.'member$e'| @t1 (|tptp.'plus$c'| @t233 @t293)) (forall (@list @t150 @t294) (=> (and (= @t1 (|tptp.'plus$b'| @t150 @t294)) (|tptp.'member$e'| @t150 @t233) (|tptp.'member$e'| @t294 @t293)) false))) false))) % 0.45/0.80 (assume @p276 (forall (@list @t4 @t238 @t295) (=> (and (|tptp.'member$f'| @t4 (|tptp.'plus$f'| @t238 @t295)) (forall (@list @t145 @t296) (=> (and (= @t4 (|tptp.'plus$e'| @t145 @t296)) (|tptp.'member$f'| @t145 @t238) (|tptp.'member$f'| @t296 @t295)) false))) false))) % 0.45/0.80 (assume @p277 (forall @t176 (=> (and (|tptp.'member$a'| @t34 @t297) (forall @t175 (=> (and (= @t34 (|tptp.'plus$d'| @t173 @t171)) @t174 @t172) false))) false))) % 0.45/0.80 (assume @p278 (forall @t182 (=> (and (|tptp.'member$'| @t17 @t298) (forall @t181 (=> (and (= @t17 (|tptp.'plus$g'| @t44 @t178)) @t180 @t179) false))) false))) % 0.45/0.80 (assume @p279 (forall @t196 (=> (and (|tptp.'member$b'| @t36 @t299) (forall @t195 (=> (and (= @t36 (|tptp.'plus$h'| @t53 @t192)) @t194 @t193) false))) false))) % 0.45/0.80 (assume @p280 (forall @t208 (= (|tptp.'matrix_vector_mult$a'| (|tptp.'plus$i'| @t85 @t63) @t39) (|tptp.'plus$g'| @t204 @t203)))) % 0.45/0.80 (assume @p281 (forall @t210 (= (|tptp.'matrix_vector_mult$'| @t248 @t105) (|tptp.'plus$d'| @t206 @t205)))) % 0.45/0.80 (assume @p282 (forall @t97 (= (|tptp.'vec$'| @t250) (|tptp.'plus$d'| @t201 @t200)))) % 0.45/0.80 (assume @p283 (forall @t120 (= (|tptp.'vec$a'| @t245) (|tptp.'plus$g'| @t198 @t197)))) % 0.45/0.80 (assume @p284 (forall @t118 (= (|tptp.'plus$'| @t301 @t113) @t300))) % 0.45/0.80 (assume @p285 (forall @t304 (= (|tptp.'plus$b'| @t303 @t177) @t302))) % 0.45/0.80 (assume @p286 (forall @t109 (= (|tptp.'plus$d'| @t245 @t105) @t305))) % 0.45/0.80 (assume @p287 (forall @t308 (= (|tptp.'plus$e'| @t307 @t170) @t306))) % 0.45/0.80 (assume @p288 (forall @t41 (= (|tptp.'plus$g'| @t248 @t39) @t309))) % 0.45/0.80 (assume @p289 (forall @t91 (= (|tptp.'plus$h'| @t250 @t48) @t310))) % 0.45/0.80 (assume @p290 (forall @t225 (=> @t311 (= (|tptp.'plus$'| @t7 @t163) (|tptp.'plus$'| @t115 (|tptp.'plus$'| @t113 @t163)))))) % 0.45/0.80 (assume @p291 (forall @t221 (=> @t312 (= (|tptp.'plus$b'| @t1 @t150) (|tptp.'plus$b'| @t151 (|tptp.'plus$b'| @t177 @t150)))))) % 0.45/0.80 (assume @p292 (forall @t291 (=> @t313 (= (|tptp.'plus$d'| @t34 @t173) (|tptp.'plus$d'| @t5 (|tptp.'plus$d'| @t105 @t173)))))) % 0.45/0.80 (assume @p293 (forall @t216 (=> @t314 (= (|tptp.'plus$e'| @t4 @t145) (|tptp.'plus$e'| @t146 (|tptp.'plus$e'| @t170 @t145)))))) % 0.45/0.80 (assume @p294 (forall @t292 (=> @t315 (= (|tptp.'plus$g'| @t17 @t44) (|tptp.'plus$g'| @t2 (|tptp.'plus$g'| @t39 @t44)))))) % 0.45/0.80 (assume @p295 (forall @t284 (=> @t316 (= (|tptp.'plus$h'| @t36 @t53) (|tptp.'plus$h'| @t8 (|tptp.'plus$h'| @t48 @t53)))))) % 0.45/0.80 (assume @p296 (forall @t225 (=> @t311 (= (|tptp.'plus$'| @t163 @t7) (|tptp.'plus$'| @t115 (|tptp.'plus$'| @t163 @t113)))))) % 0.45/0.80 (assume @p297 (forall @t221 (=> @t312 (= (|tptp.'plus$b'| @t150 @t1) (|tptp.'plus$b'| @t151 (|tptp.'plus$b'| @t150 @t177)))))) % 0.45/0.80 (assume @p298 (forall @t291 (=> @t313 (= (|tptp.'plus$d'| @t173 @t34) (|tptp.'plus$d'| @t5 (|tptp.'plus$d'| @t173 @t105)))))) % 0.45/0.80 (assume @p299 (forall @t216 (=> @t314 (= (|tptp.'plus$e'| @t145 @t4) (|tptp.'plus$e'| @t146 (|tptp.'plus$e'| @t145 @t170)))))) % 0.45/0.80 (assume @p300 (forall @t292 (=> @t315 (= (|tptp.'plus$g'| @t44 @t17) (|tptp.'plus$g'| @t2 (|tptp.'plus$g'| @t44 @t39)))))) % 0.45/0.80 (assume @p301 (forall @t284 (=> @t316 (= (|tptp.'plus$h'| @t53 @t36) (|tptp.'plus$h'| @t8 (|tptp.'plus$h'| @t53 @t48)))))) % 0.45/0.80 (assume @p302 (forall @t123 (= @t301 (|tptp.'plus$'| @t115 @t7)))) % 0.45/0.80 (assume @p303 (forall @t317 (= @t303 (|tptp.'plus$b'| @t151 @t1)))) % 0.45/0.80 (assume @p304 (forall @t120 (= @t245 @t259))) % 0.45/0.80 (assume @p305 (forall @t318 (= @t307 (|tptp.'plus$e'| @t146 @t4)))) % 0.45/0.80 (assume @p306 (forall @t27 (= @t248 @t258))) % 0.45/0.80 (assume @p307 (forall @t97 (= @t250 @t257))) % 0.45/0.80 (assume @p308 (forall @t118 (= @t300 (|tptp.'plus$'| @t115 @t231)))) % 0.45/0.80 (assume @p309 (forall @t304 (= @t302 (|tptp.'plus$b'| @t151 @t234)))) % 0.45/0.80 (assume @p310 (forall @t109 (= @t305 (|tptp.'plus$d'| @t5 @t236)))) % 0.45/0.80 (assume @p311 (forall @t308 (= @t306 (|tptp.'plus$e'| @t146 @t239)))) % 0.45/0.80 (assume @p312 (forall @t41 (= @t309 (|tptp.'plus$g'| @t2 @t241)))) % 0.45/0.80 (assume @p313 (forall @t91 (= @t310 (|tptp.'plus$h'| @t8 @t243)))) % 0.45/0.80 (assume @p314 (forall @t109 (=> @t246 @t244))) % 0.45/0.80 (assume @p315 (forall @t41 (=> @t249 @t247))) % 0.45/0.80 (assume @p316 (forall @t91 (=> @t251 @t92))) % 0.45/0.80 (assume @p317 (forall @t109 (=> @t253 @t252))) % 0.45/0.80 (assume @p318 (forall @t41 (=> @t255 @t254))) % 0.45/0.80 (assume @p319 (forall @t91 (=> @t256 @t88))) % 0.45/0.80 (assume @p320 (forall (@list @t17 @t2 @t62) (= (|tptp.'vector_matrix_mult$'| @t248 @t62) (|tptp.'plus$g'| (|tptp.'vector_matrix_mult$'| @t17 @t62) (|tptp.'vector_matrix_mult$'| @t2 @t62))))) % 0.45/0.80 (assume @p321 (forall (@list @t34 @t5 @t39) (= (|tptp.'vector_matrix_mult$a'| @t245 @t39) (|tptp.'plus$d'| (|tptp.'vector_matrix_mult$a'| @t34 @t39) (|tptp.'vector_matrix_mult$a'| @t5 @t39))))) % 0.45/0.80 (assume @p322 (forall @t91 (=> @t74 (= @t320 @t319)))) % 0.45/0.80 (assume @p323 (forall @t91 (=> @t74 (= @t322 @t321)))) % 0.45/0.80 (assume @p324 (forall @t91 (=> (and @t74 @t319) @t320))) % 0.45/0.80 (assume @p325 (forall @t91 (=> (and @t74 @t321) @t322))) % 0.45/0.80 (assume @p326 (forall @t91 (= (= @t36 @t265) (and (=> @t280 (= @t93 @t8)) (=> (not @t280) @t73))))) % 0.45/0.80 (assume @p327 (forall @t91 (= (= @t261 @t48) (and (=> @t132 (= @t36 @t89)) (=> (not @t132) @t279))))) % 0.45/0.80 (assume @p328 (forall @t284 (=> @t133 (= (= @t283 @t282) (= @t89 @t281))))) % 0.45/0.80 (assume @p329 (forall @t97 (=> @t74 (= (= @t285 |tptp.'one$'|) (= @t8 @t36))))) % 0.45/0.80 (assume @p330 (forall @t123 (=> (|tptp.'member$b'| |tptp.'zero$'| @t7) (|tptp.'less_eq$b'| @t115 @t301)))) % 0.45/0.80 (assume @p331 (forall @t317 (=> (|tptp.'member$'| |tptp.'zero$a'| @t1) (|tptp.'less_eq$a'| @t151 @t303)))) % 0.45/0.80 (assume @p332 (forall @t318 (=> (|tptp.'member$a'| |tptp.'zero$c'| @t4) (|tptp.'less_eq$'| @t146 @t307)))) % 0.45/0.80 (assume @p333 (forall @t35 (= (|tptp.'dbl_inc$a'| @t34) (|tptp.'plus$d'| (|tptp.'plus$d'| @t34 @t34) |tptp.'one$a'|)))) % 0.45/0.80 (assume @p334 (forall @t18 (= (|tptp.'dbl_inc$'| @t17) (|tptp.'plus$g'| (|tptp.'plus$g'| @t17 @t17) |tptp.'one$b'|)))) % 0.45/0.80 (assume @p335 (forall @t38 (= (|tptp.'dbl_inc$b'| @t36) (|tptp.'plus$h'| (|tptp.'plus$h'| @t36 @t36) |tptp.'one$'|)))) % 0.45/0.80 (assume @p336 (forall @t328 (= (|tptp.'times$a'| @t327 @t326) @t325))) % 0.45/0.80 (assume @p337 (forall @t328 (= (|tptp.'times$b'| @t331 @t330) @t329))) % 0.45/0.80 (assume @p338 (forall @t328 (= (|tptp.'times$'| @t334 @t333) @t332))) % 0.45/0.80 (assume @p339 (forall (@list @t162 @t323 @t105) (= (|tptp.'times$a'| @t327 (|tptp.'times$a'| @t326 @t105)) (|tptp.'times$a'| @t325 @t105)))) % 0.45/0.80 (assume @p340 (forall (@list @t162 @t323 @t39) (= (|tptp.'times$b'| @t331 (|tptp.'times$b'| @t330 @t39)) (|tptp.'times$b'| @t329 @t39)))) % 0.45/0.80 (assume @p341 (forall (@list @t162 @t323 @t48) (= (|tptp.'times$'| @t334 (|tptp.'times$'| @t333 @t48)) (|tptp.'times$'| @t332 @t48)))) % 0.45/0.80 (assume @p342 (forall (@list @t162 @t5 @t105) (= (|tptp.'times$a'| @t327 @t289) (|tptp.'plus$d'| (|tptp.'times$a'| @t327 @t5) (|tptp.'times$a'| @t327 @t105))))) % 0.45/0.80 (assume @p343 (forall (@list @t162 @t2 @t39) (= (|tptp.'times$b'| @t331 @t290) (|tptp.'plus$g'| (|tptp.'times$b'| @t331 @t2) (|tptp.'times$b'| @t331 @t39))))) % 0.45/0.80 (assume @p344 (forall (@list @t162 @t8 @t48) (= (|tptp.'times$'| @t334 @t288) (|tptp.'plus$h'| (|tptp.'times$'| @t334 @t8) (|tptp.'times$'| @t334 @t48))))) % 0.45/0.80 (assume @p345 (forall (@list @t34 @t5 @t161) (= (|tptp.'times$a'| @t245 @t335) (|tptp.'plus$d'| (|tptp.'times$a'| @t34 @t335) (|tptp.'times$a'| @t5 @t335))))) % 0.45/0.80 (assume @p346 (forall (@list @t17 @t2 @t161) (= (|tptp.'times$b'| @t248 @t336) (|tptp.'plus$g'| (|tptp.'times$b'| @t17 @t336) (|tptp.'times$b'| @t2 @t336))))) % 0.45/0.80 (assume @p347 (forall @t339 (= (|tptp.'times$'| @t250 @t337) (|tptp.'plus$h'| @t338 (|tptp.'times$'| @t8 @t337))))) % 0.45/0.80 (assume @p348 (forall (@list @t36 @t323 @t48) (= (= (|tptp.'fun_app$d'| @t260 @t333) @t48) (and (=> @t340 (= @t36 (|tptp.'times$'| @t48 @t333))) (=> (not @t340) @t279))))) % 0.45/0.80 (assume @p349 (forall @t339 (= (= @t36 (|tptp.'fun_app$d'| @t264 @t337)) (and (=> @t341 (= @t338 @t8)) (=> (not @t341) @t73))))) % 0.45/0.80 (assume @p350 (forall (@list @t342) (or (= @t342 tptp.tltrue) (= @t342 tptp.tlfalse)))) % 0.45/0.80 (assume @p351 (not (= tptp.tltrue tptp.tlfalse))) % 0.45/0.80 (assume @p352 true) % 0.45/0.80 (step @p353 :rule symm :premises (@p4)) % 0.45/0.80 (step @p354 :rule eq-symm :args (@t19 @t17)) % 0.45/0.80 (step @p355 :rule cong :premises (@p354) :args (@t20)) % 0.45/0.80 (step @p356 :rule eq_resolve :premises (@p10 @p355)) % 0.45/0.80 (assume-push @p364 @t343) % 0.45/0.80 (step @p358 :rule instantiate :premises (@p356) :args ((@list @t10))) % 0.45/0.80 (step-pop @p365 :rule scope :premises (@p358)) % 0.45/0.80 (step @p359 :rule process_scope :premises (@p365) :args (@t344)) % 0.45/0.80 (step @p361 :rule implies_elim :premises (@p359)) % 0.45/0.80 (step @p362 :rule reordering :premises (@p361) :args ((or @t344 (not @t343)))) % 0.45/0.80 (step @p363 false :rule chain_m_resolution :premises (@p362 @p356 @p353) :args (false (@list false true) (@list @t343 @t344))) % 0.45/0.80 ) % 0.45/0.80 % SZS output end Proof % 0.45/0.80 % cvc5 exiting %------------------------------------------------------------------------------