%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP338_1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:26:22 AM UTC 2026 % Result : Theorem 0.84s 1.04s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP338_1 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:01:22 EDT 2026 % 0.15/0.34 % CPUTime : % 0.42/0.68 %----Proving TF0_ARI % 0.84/1.04 --- Run --finite-model-find --decision=internal at 45... % 0.84/1.04 % SZS status Theorem % 0.84/1.04 % SZS output start Proof % 0.84/1.04 ( % 0.84/1.04 (declare-sort |tptp.'Nat_set$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_set$'| 0) % 0.84/1.04 (declare-sort |tptp.'Int_set$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_iarray_iarray_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_iarray_iarray_prod_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_b_vec_c_vec_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_iarray_iarray_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_iarray_iarray_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_iarray_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_iarray_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_b_vec_c_vec_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_c_vec_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_iarray_iarray_prod_prod_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'C_a_b_vec_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'B_a_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_iarray_prod_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_iarray$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_iarray_iarray_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_iarray_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_iarray_iarray$'| 0) % 0.84/1.04 (declare-sort |tptp.'C$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_b_vec_c_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_iarray_iarray_prod_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_nat_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Int_int_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_b_vec_c_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat$'| 0) % 0.84/1.04 (declare-sort |tptp.'B$'| 0) % 0.84/1.04 (declare-sort |tptp.'A$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_b_vec_b_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_iarray_iarray_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_b_vec_c_vec_prod_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_iarray_iarray_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_c_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_c_vec_c_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec_c_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_c_vec_c_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_c_vec_c_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Nat_a_c_vec_b_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec_b_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_c_vec_b_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_b_vec$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_b_vec_b_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Int_int_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_b_vec_a_b_vec_b_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_a_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_int_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'Int_a_prod$'| 0) % 0.84/1.04 (declare-sort tptp.tlbool 0) % 0.84/1.04 (declare-sort |tptp.'A_bool_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'B_a_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'C_a_b_vec_bool_fun_fun$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_c_vec_c_vec_a_c_vec_c_vec_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'| 0) % 0.84/1.04 (declare-sort |tptp.'A_b_vec_b_vec_a_c_vec_b_vec_prod$'| 0) % 0.84/1.04 (declare-const tptp.tlfalse tptp.tlbool) % 0.84/1.04 (declare-const |tptp.'less_eq$d'| (-> |tptp.'Int_set$'| |tptp.'Int_set$'| Bool)) % 0.84/1.04 (declare-const |tptp.'less_eq$c'| (-> |tptp.'A_set$'| |tptp.'A_set$'| Bool)) % 0.84/1.04 (declare-const |tptp.'plus$q'| (-> |tptp.'A_set$'| |tptp.'A_set$'| |tptp.'A_set$'|)) % 0.84/1.04 (declare-const |tptp.'times$g'| (-> |tptp.'Nat_set$'| |tptp.'Nat_set$'| |tptp.'Nat_set$'|)) % 0.84/1.04 (declare-const |tptp.'times$f'| (-> |tptp.'Int_set$'| |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 0.84/1.04 (declare-const |tptp.'member$a'| (-> |tptp.'A$'| |tptp.'A_set$'| Bool)) % 0.84/1.04 (declare-const |tptp.'times$e'| (-> |tptp.'A_set$'| |tptp.'A_set$'| |tptp.'A_set$'|)) % 0.84/1.04 (declare-const |tptp.'member$'| (-> Int |tptp.'Int_set$'| Bool)) % 0.84/1.04 (declare-const |tptp.'plus$p'| (-> |tptp.'Int_set$'| |tptp.'Int_set$'| |tptp.'Int_set$'|)) % 0.84/1.04 (declare-const |tptp.'upper_triangular_upt_k$a'| (-> |tptp.'A_b_vec_c_vec_c_vec$'| |tptp.'Nat_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'upper_triangular_upt_k$'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'Nat_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'to_nat$'| (-> |tptp.'C$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'to_nat$a'| (-> |tptp.'B$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$x'| (-> |tptp.'A_a_iarray_iarray_bool_fun_fun$'| |tptp.'A$'| |tptp.'A_iarray_iarray_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$w'| (-> |tptp.'A_nat_a_iarray_iarray_prod_bool_fun_fun$'| |tptp.'A$'| |tptp.'Nat_a_iarray_iarray_prod_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$v'| (-> |tptp.'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$'| |tptp.'A$'| |tptp.'Nat_a_b_vec_c_vec_prod_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$u'| (-> |tptp.'A_a_b_vec_c_vec_bool_fun_fun$'| |tptp.'A$'| |tptp.'A_b_vec_c_vec_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$s'| (-> |tptp.'A_iarray_iarray_bool_fun$'| |tptp.'A_iarray_iarray$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fun_app$o'| (-> |tptp.'A_b_vec_c_vec_bool_fun$'| |tptp.'A_b_vec_c_vec$'| Bool)) % 0.84/1.04 (declare-const |tptp.'snd$x'| (-> |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_PA$c'| (-> |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'| |tptp.'C$'| |tptp.'B$'| |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$x'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'A_b_vec_c_vec$'| |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$w'| (-> |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_PA$c'| (-> |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$v'| (-> |tptp.'A_b_vec_b_vec_a_b_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_PA$b'| (-> |tptp.'A_b_vec_b_vec_a_b_vec_b_vec_prod$'| |tptp.'B$'| |tptp.'B$'| |tptp.'A_b_vec_b_vec_a_b_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$u'| (-> |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'snd$v'| (-> |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'| |tptp.'Nat_a_b_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_PA$b'| (-> |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$t'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'Nat_a_c_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$t'| (-> |tptp.'A_b_vec_b_vec_a_c_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$r'| (-> |tptp.'Nat_a_iarray_bool_fun_fun$'| |tptp.'Nat$'| |tptp.'A_iarray_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'snd$u'| (-> |tptp.'A_b_vec_b_vec_a_c_vec_b_vec_prod$'| |tptp.'A_c_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'snd$t'| (-> |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'| |tptp.'Nat_a_c_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_PA$a'| (-> |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$s'| (-> |tptp.'A_c_vec_c_vec_a_c_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_PA$'| (-> |tptp.'A_c_vec_c_vec_a_c_vec_c_vec_prod$'| |tptp.'C$'| |tptp.'C$'| |tptp.'A_c_vec_c_vec_a_c_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$s'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'A_c_vec_c_vec$'| |tptp.'A_c_vec_c_vec_a_c_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$q'| (-> |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'snd$r'| (-> |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'| |tptp.'Nat_a_c_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$q'| (-> |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_PA$'| (-> |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$t'| (-> |tptp.'Nat_a_iarray_iarray_bool_fun_fun$'| |tptp.'Nat$'| |tptp.'A_iarray_iarray_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'pair$q'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'Nat_a_b_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'upper_triangular$a'| (-> |tptp.'A_b_vec_c_vec_c_vec$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fst$x'| (-> |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'vec_nth$f'| (-> |tptp.'A_b_vec_c_vec_c_vec$'| |tptp.'C$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'upper_triangular$'| (-> |tptp.'A_b_vec_b_vec$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fun_app$n'| (-> |tptp.'C_a_b_vec_bool_fun_fun$'| |tptp.'C$'| |tptp.'A_b_vec_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$k'| (-> |tptp.'A_bool_fun$'| |tptp.'A$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fun_app$l'| (-> |tptp.'B_a_bool_fun_fun$'| |tptp.'B$'| |tptp.'A_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'map_matrix$'| (-> |tptp.'A_a_fun$'| |tptp.'A_b_vec_c_vec$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const tptp.tltrue tptp.tlbool) % 0.84/1.04 (declare-const |tptp.'divides_aux$'| (-> |tptp.'Int_int_prod$'| Bool)) % 0.84/1.04 (declare-const |tptp.'zero$l'| |tptp.'A_b_vec$'|) % 0.84/1.04 (declare-const |tptp.'times$c'| (-> |tptp.'A_b_vec$'| |tptp.'A_b_vec$'| |tptp.'A_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'plus$o'| (-> |tptp.'A_b_vec$'| |tptp.'A_b_vec$'| |tptp.'A_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'one$e'| |tptp.'A_b_vec_c_vec$'|) % 0.84/1.04 (declare-const |tptp.'one$d'| |tptp.'A_b_vec$'|) % 0.84/1.04 (declare-const |tptp.'fst$p'| (-> |tptp.'Int_int_prod$'| Int)) % 0.84/1.04 (declare-const |tptp.'snd$p'| (-> |tptp.'Int_int_prod$'| Int)) % 0.84/1.04 (declare-const |tptp.'less$a'| (-> |tptp.'C$'| |tptp.'C$'| Bool)) % 0.84/1.04 (declare-const |tptp.'pair$u'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'A_c_vec_b_vec$'| |tptp.'A_b_vec_b_vec_a_c_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'zero$k'| |tptp.'B$'|) % 0.84/1.04 (declare-const |tptp.'zero$h'| |tptp.'A_int_prod$'|) % 0.84/1.04 (declare-const |tptp.'pair$o'| (-> |tptp.'A$'| Int |tptp.'A_int_prod$'|)) % 0.84/1.04 (declare-const |tptp.'zero$g'| |tptp.'A_a_prod$'|) % 0.84/1.04 (declare-const |tptp.'pair$n'| (-> |tptp.'A$'| |tptp.'A$'| |tptp.'A_a_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$q'| (-> |tptp.'A_iarray_bool_fun$'| |tptp.'A_iarray$'| Bool)) % 0.84/1.04 (declare-const |tptp.'plus$n'| (-> |tptp.'Int_int_prod$'| |tptp.'Int_int_prod$'| |tptp.'Int_int_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$m'| (-> Int Int |tptp.'Int_int_prod$'|)) % 0.84/1.04 (declare-const |tptp.'plus$l'| (-> |tptp.'Nat_a_iarray_prod$'| |tptp.'Nat_a_iarray_prod$'| |tptp.'Nat_a_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$d'| (-> |tptp.'Nat_a_iarray_iarray_prod$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'snd$f'| (-> |tptp.'Nat_a_iarray_prod$'| |tptp.'A_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'plus$f'| (-> |tptp.'Nat_a_iarray_iarray_prod$'| |tptp.'Nat_a_iarray_iarray_prod$'| |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'ncols$'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'vec_nth$'| (-> |tptp.'A_b_vec$'| |tptp.'B_a_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$d'| (-> |tptp.'C_a_b_vec_fun$'| |tptp.'C$'| |tptp.'A_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'uug$'| |tptp.'Nat_nat_fun$'|) % 0.84/1.04 (declare-const |tptp.'pair$b'| (-> |tptp.'Nat$'| |tptp.'A_iarray$'| |tptp.'Nat_a_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$d'| (-> |tptp.'Nat$'| |tptp.'A_iarray_iarray$'| |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$f'| (-> |tptp.'A_nat_a_iarray_iarray_prod_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'column_iarray$'| (-> |tptp.'Nat$'| |tptp.'A_iarray_iarray$'| |tptp.'A_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'snd$'| (-> |tptp.'Nat_a_b_vec_c_vec_prod$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'pair$'| (-> |tptp.'A$'| |tptp.'Nat_a_b_vec_c_vec_prod$'| |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'from_nat$a'| (-> |tptp.'Nat$'| |tptp.'B$'|)) % 0.84/1.04 (declare-const |tptp.'less_eq$'| (-> |tptp.'C$'| |tptp.'C$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fun_app$m'| (-> |tptp.'A_b_vec_bool_fun$'| |tptp.'A_b_vec$'| Bool)) % 0.84/1.04 (declare-const |tptp.'one$c'| |tptp.'B$'|) % 0.84/1.04 (declare-const |tptp.'zero$c'| |tptp.'A_b_vec_c_vec$'|) % 0.84/1.04 (declare-const |tptp.'zero$i'| |tptp.'Int_a_prod$'|) % 0.84/1.04 (declare-const |tptp.'vec_nth$a'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'C_a_b_vec_fun$'|)) % 0.84/1.04 (declare-const |tptp.'one$'| |tptp.'A$'|) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_det_P$'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'C$'| |tptp.'B$'| |tptp.'A_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'nrows$'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'vector_all_zero_from_index$'| |tptp.'Nat_a_iarray_prod_bool_fun$'|) % 0.84/1.04 (declare-const |tptp.'from_nat$'| (-> |tptp.'Nat$'| |tptp.'C$'|)) % 0.84/1.04 (declare-const |tptp.'fst$m'| (-> |tptp.'Nat_a_b_vec_b_vec_prod$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'fst$c'| (-> |tptp.'Nat_a_iarray_prod$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'member$b'| (-> |tptp.'Nat$'| |tptp.'Nat_set$'| Bool)) % 0.84/1.04 (declare-const |tptp.'zero$'| |tptp.'Nat$'|) % 0.84/1.04 (declare-const |tptp.'fun_app$'| (-> |tptp.'Int_int_fun$'| Int Int)) % 0.84/1.04 (declare-const |tptp.'snd$b'| (-> |tptp.'A_a_b_vec_c_vec_prod$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'zero$e'| |tptp.'Nat_a_b_vec_c_vec_prod$'|) % 0.84/1.04 (declare-const |tptp.'fst$s'| (-> |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'uu$'| |tptp.'A_a_fun$'|) % 0.84/1.04 (declare-const |tptp.'fun_app$a'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'plus$h'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'A_b_vec_c_vec$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'pair$e'| (-> |tptp.'A$'| |tptp.'A_b_vec_c_vec$'| |tptp.'A_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$l'| (-> |tptp.'A_a_c_vec_b_vec_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'of_nat$'| (-> |tptp.'Nat$'| Int)) % 0.84/1.04 (declare-const |tptp.'nrows_iarray$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'pair$a'| (-> |tptp.'Nat$'| |tptp.'A_b_vec_c_vec$'| |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$a'| (-> |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$r'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'Nat_a_c_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'less_eq$a'| (-> |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'uuf$'| |tptp.'Int_int_fun$'|) % 0.84/1.04 (declare-const |tptp.'fun_app$b'| (-> |tptp.'A_a_fun$'| |tptp.'A$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'fst$'| (-> |tptp.'A_a_b_vec_c_vec_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_det_P_iarrays$'| (-> |tptp.'A_iarray_iarray$'| |tptp.'Nat$'| |tptp.'Nat$'| |tptp.'A_a_iarray_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$c'| (-> |tptp.'A$'| |tptp.'Nat_a_iarray_iarray_prod$'| |tptp.'A_nat_a_iarray_iarray_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$i'| (-> |tptp.'A_a_c_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'fst$n'| (-> |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'uua$'| |tptp.'Int_int_fun$'|) % 0.84/1.04 (declare-const |tptp.'i$'| |tptp.'Nat$'|) % 0.84/1.04 (declare-const |tptp.'pair$p'| (-> Int |tptp.'A$'| |tptp.'Int_a_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$f'| (-> |tptp.'A$'| |tptp.'A_iarray_iarray$'| |tptp.'A_a_iarray_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'matrix_to_iarray$'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'a$'| |tptp.'A_b_vec_c_vec$'|) % 0.84/1.04 (declare-const |tptp.'snd$e'| (-> |tptp.'A_a_iarray_iarray_prod$'| |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'uue$'| |tptp.'Int_int_fun$'|) % 0.84/1.04 (declare-const |tptp.'uuc$'| |tptp.'Nat_nat_fun$'|) % 0.84/1.04 (declare-const |tptp.'snd$d'| (-> |tptp.'A_nat_a_iarray_iarray_prod_prod$'| |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'n$'| |tptp.'A$'|) % 0.84/1.04 (declare-const |tptp.'fst$e'| (-> |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'fst$r'| (-> |tptp.'A_c_vec_c_vec_a_c_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'times$a'| (-> Int Int Int)) % 0.84/1.04 (declare-const |tptp.'fun_app$e'| (-> |tptp.'Nat_a_iarray_prod_bool_fun$'| |tptp.'Nat_a_iarray_prod$'| Bool)) % 0.84/1.04 (declare-const |tptp.'times$'| (-> |tptp.'A$'| |tptp.'A_a_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$c'| (-> |tptp.'B_a_fun$'| |tptp.'B$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'plus$g'| (-> |tptp.'A_iarray_iarray$'| |tptp.'A_iarray_iarray$'| |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'snd$c'| (-> |tptp.'Nat_a_iarray_iarray_prod$'| |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$f'| (-> |tptp.'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$'| |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fst$b'| (-> |tptp.'Nat_a_b_vec_c_vec_prod$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_det_P$b'| (-> |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$p'| (-> |tptp.'Nat_a_b_vec_c_vec_bool_fun_fun$'| |tptp.'Nat$'| |tptp.'A_b_vec_c_vec_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'times$b'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|)) % 0.84/1.04 (declare-const |tptp.'plus$'| (-> |tptp.'A$'| |tptp.'A_a_fun$'|)) % 0.84/1.04 (declare-const |tptp.'one$a'| |tptp.'Nat$'|) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_det_P$b'| (-> |tptp.'A_c_vec_b_vec$'| |tptp.'B$'| |tptp.'C$'| |tptp.'A_a_c_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'plus$e'| (-> |tptp.'A_a_iarray_iarray_prod$'| |tptp.'A_a_iarray_iarray_prod$'| |tptp.'A_a_iarray_iarray_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$v'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'Nat_a_b_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$g'| (-> |tptp.'Nat_a_b_vec_c_vec_prod_bool_fun$'| |tptp.'Nat_a_b_vec_c_vec_prod$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fun_app$h'| (-> |tptp.'A_nat_a_iarray_iarray_prod_prod_bool_fun$'| |tptp.'A_nat_a_iarray_iarray_prod_prod$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fun_app$i'| (-> |tptp.'Nat_a_iarray_iarray_prod_bool_fun$'| |tptp.'Nat_a_iarray_iarray_prod$'| Bool)) % 0.84/1.04 (declare-const |tptp.'plus$k'| (-> |tptp.'A_nat_a_iarray_iarray_prod_prod$'| |tptp.'A_nat_a_iarray_iarray_prod_prod$'| |tptp.'A_nat_a_iarray_iarray_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'less$'| (-> |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|)) % 0.84/1.04 (declare-const |tptp.'vec_nth$e'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'B$'| |tptp.'A_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'row_add_iterate_PA$'| (-> |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'| |tptp.'Nat$'| |tptp.'C$'| |tptp.'B$'| |tptp.'A_c_vec_c_vec_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fun_app$j'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool)) % 0.84/1.04 (declare-const |tptp.'plus$a'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|)) % 0.84/1.04 (declare-const |tptp.'fst$a'| (-> |tptp.'A_a_iarray_iarray_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_det_P_iarrays$'| (-> |tptp.'A_nat_a_iarray_iarray_prod_prod$'| |tptp.'Nat$'| |tptp.'A_nat_a_iarray_iarray_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$g'| (-> |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'| |tptp.'Nat_a_c_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'less$b'| (-> |tptp.'B$'| |tptp.'B$'| Bool)) % 0.84/1.04 (declare-const |tptp.'fst$g'| (-> |tptp.'Nat_a_c_vec_c_vec_prod$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'fst$i'| (-> |tptp.'A_a_c_vec_c_vec_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'zero$j'| |tptp.'Int_int_prod$'|) % 0.84/1.04 (declare-const |tptp.'snd$h'| (-> |tptp.'Nat_a_c_vec_c_vec_prod$'| |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_det_P$a'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'C$'| |tptp.'C$'| |tptp.'A_a_c_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'times$d'| (-> |tptp.'A_b_vec_c_vec$'| |tptp.'A_b_vec_c_vec$'| |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'pair$g'| (-> |tptp.'A$'| |tptp.'Nat_a_c_vec_c_vec_prod$'| |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'less_eq$b'| (-> |tptp.'B$'| |tptp.'B$'| Bool)) % 0.84/1.04 (declare-const |tptp.'pair$h'| (-> |tptp.'Nat$'| |tptp.'A_c_vec_c_vec$'| |tptp.'Nat_a_c_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$m'| (-> |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'| |tptp.'Nat_a_b_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$h'| (-> |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_det_P$'| (-> |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'nrows$a'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'vec_nth$c'| (-> |tptp.'A_c_vec_c_vec$'| |tptp.'C$'| |tptp.'A_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'snd$w'| (-> |tptp.'A_b_vec_b_vec_a_b_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'plus$c'| (-> |tptp.'B$'| |tptp.'B$'| |tptp.'B$'|)) % 0.84/1.04 (declare-const |tptp.'vec_nth$b'| (-> |tptp.'A_c_vec$'| |tptp.'C$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'k$'| |tptp.'Nat$'|) % 0.84/1.04 (declare-const |tptp.'snd$j'| (-> |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'| |tptp.'Nat_a_c_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$j'| (-> |tptp.'Nat_a_c_vec_b_vec_prod$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'snd$k'| (-> |tptp.'Nat_a_c_vec_b_vec_prod$'| |tptp.'A_c_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_PA$a'| (-> |tptp.'A_b_vec_b_vec_a_c_vec_b_vec_prod$'| |tptp.'B$'| |tptp.'C$'| |tptp.'A_b_vec_b_vec_a_c_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$l'| (-> |tptp.'A_a_c_vec_b_vec_prod$'| |tptp.'A_c_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'pair$j'| (-> |tptp.'Nat$'| |tptp.'A_c_vec_b_vec$'| |tptp.'Nat_a_c_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$k'| (-> |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'plus$m'| (-> |tptp.'A_iarray$'| |tptp.'A_iarray$'| |tptp.'A_iarray$'|)) % 0.84/1.04 (declare-const |tptp.'uud$'| |tptp.'A_a_fun$'|) % 0.84/1.04 (declare-const |tptp.'pair$i'| (-> |tptp.'A$'| |tptp.'Nat_a_c_vec_b_vec_prod$'| |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_det_P$a'| (-> |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'nrows$b'| (-> |tptp.'A_c_vec_b_vec$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'vec_nth$d'| (-> |tptp.'A_c_vec_b_vec$'| |tptp.'B$'| |tptp.'A_c_vec$'|)) % 0.84/1.04 (declare-const |tptp.'uub$'| |tptp.'Int_int_fun$'|) % 0.84/1.04 (declare-const |tptp.'snd$n'| (-> |tptp.'Nat_a_b_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'zero$a'| |tptp.'A$'|) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_in_ij_det_P$c'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'B$'| |tptp.'B$'| |tptp.'A_a_b_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'snd$o'| (-> |tptp.'A_a_b_vec_b_vec_prod$'| |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (declare-const |tptp.'zero$f'| |tptp.'C$'|) % 0.84/1.04 (declare-const |tptp.'pair$l'| (-> |tptp.'Nat$'| |tptp.'A_b_vec_b_vec$'| |tptp.'Nat_a_b_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'fst$o'| (-> |tptp.'A_a_b_vec_b_vec_prod$'| |tptp.'A$'|)) % 0.84/1.04 (declare-const |tptp.'pair$k'| (-> |tptp.'A$'| |tptp.'Nat_a_b_vec_b_vec_prod$'| |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'plus$b'| (-> |tptp.'C$'| |tptp.'C$'| |tptp.'C$'|)) % 0.84/1.04 (declare-const |tptp.'gauss_Jordan_column_k_det_P$c'| (-> |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'Nat$'| |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'one$b'| |tptp.'C$'|) % 0.84/1.04 (declare-const |tptp.'nrows$c'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'Nat$'|)) % 0.84/1.04 (declare-const |tptp.'plus$d'| (-> |tptp.'A_a_b_vec_c_vec_prod$'| |tptp.'A_a_b_vec_c_vec_prod$'| |tptp.'A_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'plus$j'| (-> |tptp.'Nat_a_b_vec_c_vec_prod$'| |tptp.'Nat_a_b_vec_c_vec_prod$'| |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'plus$i'| (-> |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'| |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (declare-const |tptp.'pair$w'| (-> |tptp.'A_b_vec_b_vec$'| |tptp.'A_b_vec_b_vec$'| |tptp.'A_b_vec_b_vec_a_b_vec_b_vec_prod$'|)) % 0.84/1.04 (declare-const |tptp.'zero$b'| |tptp.'A_a_b_vec_c_vec_prod$'|) % 0.84/1.04 (declare-const |tptp.'zero$d'| |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|) % 0.84/1.04 (define @t1 () (@var "A__questionmark_v0" Int)) % 0.84/1.04 (define @t2 () (* 0 @t1)) % 0.84/1.04 (define @t3 () (@list @t1)) % 0.84/1.04 (define @t4 () (* 1 @t1)) % 0.84/1.04 (define @t5 () (@var "A__questionmark_v0" |tptp.'Nat$'|)) % 0.84/1.04 (define @t6 () (@list @t5)) % 0.84/1.04 (define @t7 () (@var "A__questionmark_v0" |tptp.'A$'|)) % 0.84/1.04 (define @t8 () (@list @t7)) % 0.84/1.04 (define @t9 () (|tptp.'matrix_to_iarray$'| |tptp.'a$'|)) % 0.84/1.04 (define @t10 () (|tptp.'gauss_Jordan_in_ij_det_P_iarrays$'| @t9 |tptp.'i$'| |tptp.'k$'|)) % 0.84/1.04 (define @t11 () (|tptp.'snd$e'| @t10)) % 0.84/1.04 (define @t12 () (|tptp.'of_nat$'| |tptp.'i$'|)) % 0.84/1.04 (define @t13 () (+ @t12 1)) % 0.84/1.04 (define @t14 () (|tptp.'nat$'| @t13)) % 0.84/1.04 (define @t15 () (|tptp.'pair$d'| @t14 @t11)) % 0.84/1.04 (define @t16 () (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$a'| @t10)) |tptp.'n$'|)) % 0.84/1.04 (define @t17 () (|tptp.'pair$c'| @t16 @t15)) % 0.84/1.04 (define @t18 () (|tptp.'snd$d'| @t17)) % 0.84/1.04 (define @t19 () (|tptp.'snd$c'| @t18)) % 0.84/1.04 (define @t20 () (|tptp.'from_nat$a'| |tptp.'k$'|)) % 0.84/1.04 (define @t21 () (|tptp.'from_nat$'| |tptp.'i$'|)) % 0.84/1.04 (define @t22 () (|tptp.'gauss_Jordan_in_ij_det_P$'| |tptp.'a$'| @t21 @t20)) % 0.84/1.04 (define @t23 () (|tptp.'snd$b'| @t22)) % 0.84/1.04 (define @t24 () (|tptp.'pair$a'| @t14 @t23)) % 0.84/1.04 (define @t25 () (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$'| @t22)) |tptp.'n$'|)) % 0.84/1.04 (define @t26 () (|tptp.'pair$'| @t25 @t24)) % 0.84/1.04 (define @t27 () (|tptp.'snd$a'| @t26)) % 0.84/1.04 (define @t28 () (|tptp.'snd$'| @t27)) % 0.84/1.04 (define @t29 () (|tptp.'matrix_to_iarray$'| @t28)) % 0.84/1.04 (define @t30 () (= @t29 @t19)) % 0.84/1.04 (define @t31 () (= @t12 (|tptp.'of_nat$'| (|tptp.'nrows_iarray$'| @t9)))) % 0.84/1.04 (define @t32 () (or (|tptp.'fun_app$e'| |tptp.'vector_all_zero_from_index$'| (|tptp.'pair$b'| |tptp.'i$'| (|tptp.'column_iarray$'| |tptp.'k$'| @t9))) @t31)) % 0.84/1.04 (define @t33 () (not @t32)) % 0.84/1.04 (define @t34 () (=> @t33 @t30)) % 0.84/1.04 (define @t35 () (|tptp.'pair$d'| |tptp.'i$'| @t9)) % 0.84/1.04 (define @t36 () (|tptp.'snd$c'| (|tptp.'snd$d'| (|tptp.'pair$c'| |tptp.'n$'| @t35)))) % 0.84/1.04 (define @t37 () (= @t29 @t36)) % 0.84/1.04 (define @t38 () (=> @t32 @t37)) % 0.84/1.04 (define @t39 () (and @t38 @t34)) % 0.84/1.04 (define @t40 () (|tptp.'of_nat$'| (|tptp.'nrows$'| |tptp.'a$'|))) % 0.84/1.04 (define @t41 () (= @t12 @t40)) % 0.84/1.04 (define @t42 () (@var "A__questionmark_v0" |tptp.'C$'|)) % 0.84/1.04 (define @t43 () (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| |tptp.'a$'|) @t42)) @t20)) % 0.84/1.04 (define @t44 () (|tptp.'less_eq$'| @t21 @t42)) % 0.84/1.04 (define @t45 () (=> @t44 (= @t43 |tptp.'zero$a'|))) % 0.84/1.04 (define @t46 () (@list @t42)) % 0.84/1.04 (define @t47 () (forall @t46 @t45)) % 0.84/1.04 (define @t48 () (or @t47 @t41)) % 0.84/1.04 (define @t49 () (not @t48)) % 0.84/1.04 (define @t50 () (=> @t49 @t39)) % 0.84/1.04 (define @t51 () (|tptp.'pair$a'| |tptp.'i$'| |tptp.'a$'|)) % 0.84/1.04 (define @t52 () (|tptp.'matrix_to_iarray$'| (|tptp.'snd$'| (|tptp.'snd$a'| (|tptp.'pair$'| |tptp.'n$'| @t51))))) % 0.84/1.04 (define @t53 () (= @t52 @t19)) % 0.84/1.04 (define @t54 () (=> @t33 @t53)) % 0.84/1.04 (define @t55 () (=> @t32 (= @t52 @t36))) % 0.84/1.04 (define @t56 () (and @t55 @t54)) % 0.84/1.04 (define @t57 () (=> @t48 @t56)) % 0.84/1.04 (define @t58 () (and @t57 @t50)) % 0.84/1.04 (define @t59 () (not @t58)) % 0.84/1.04 (define @t60 () (not (< @t12 @t40))) % 0.84/1.04 (define @t61 () (@var "A__questionmark_v0" |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t62 () (|tptp.'snd$'| @t61)) % 0.84/1.04 (define @t63 () (|tptp.'fst$b'| @t61)) % 0.84/1.04 (define @t64 () (|tptp.'pair$a'| @t63 @t62)) % 0.84/1.04 (define @t65 () (@list @t61)) % 0.84/1.04 (define @t66 () (@var "A__questionmark_v0" |tptp.'Nat_a_iarray_prod$'|)) % 0.84/1.04 (define @t67 () (|tptp.'snd$f'| @t66)) % 0.84/1.04 (define @t68 () (|tptp.'fst$c'| @t66)) % 0.84/1.04 (define @t69 () (|tptp.'pair$b'| @t68 @t67)) % 0.84/1.04 (define @t70 () (@list @t66)) % 0.84/1.04 (define @t71 () (@var "A__questionmark_v0" |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t72 () (|tptp.'snd$c'| @t71)) % 0.84/1.04 (define @t73 () (|tptp.'fst$d'| @t71)) % 0.84/1.04 (define @t74 () (|tptp.'pair$d'| @t73 @t72)) % 0.84/1.04 (define @t75 () (@list @t71)) % 0.84/1.04 (define @t76 () (@var "A__questionmark_v0" |tptp.'A_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t77 () (|tptp.'snd$b'| @t76)) % 0.84/1.04 (define @t78 () (|tptp.'fst$'| @t76)) % 0.84/1.04 (define @t79 () (|tptp.'pair$e'| @t78 @t77)) % 0.84/1.04 (define @t80 () (@list @t76)) % 0.84/1.04 (define @t81 () (@var "A__questionmark_v0" |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (define @t82 () (|tptp.'snd$a'| @t81)) % 0.84/1.04 (define @t83 () (|tptp.'fst$e'| @t81)) % 0.84/1.04 (define @t84 () (|tptp.'pair$'| @t83 @t82)) % 0.84/1.04 (define @t85 () (@list @t81)) % 0.84/1.04 (define @t86 () (@var "A__questionmark_v0" |tptp.'A_nat_a_iarray_iarray_prod_prod$'|)) % 0.84/1.04 (define @t87 () (|tptp.'snd$d'| @t86)) % 0.84/1.04 (define @t88 () (|tptp.'fst$f'| @t86)) % 0.84/1.04 (define @t89 () (|tptp.'pair$c'| @t88 @t87)) % 0.84/1.04 (define @t90 () (@list @t86)) % 0.84/1.04 (define @t91 () (@var "A__questionmark_v0" |tptp.'A_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t92 () (|tptp.'snd$e'| @t91)) % 0.84/1.04 (define @t93 () (|tptp.'fst$a'| @t91)) % 0.84/1.04 (define @t94 () (|tptp.'pair$f'| @t93 @t92)) % 0.84/1.04 (define @t95 () (@list @t91)) % 0.84/1.04 (define @t96 () (@var "A__questionmark_v1" |tptp.'A$'|)) % 0.84/1.04 (define @t97 () (= @t7 |tptp.'zero$a'|)) % 0.84/1.04 (define @t98 () (or @t97 (= @t96 |tptp.'one$'|))) % 0.84/1.04 (define @t99 () (|tptp.'times$'| @t7)) % 0.84/1.04 (define @t100 () (|tptp.'fun_app$b'| @t99 @t96)) % 0.84/1.04 (define @t101 () (@list @t7 @t96)) % 0.84/1.04 (define @t102 () (@var "A__questionmark_v1" Int)) % 0.84/1.04 (define @t103 () (= @t102 1)) % 0.84/1.04 (define @t104 () (= @t1 0)) % 0.84/1.04 (define @t105 () (or @t104 @t103)) % 0.84/1.04 (define @t106 () (|tptp.'times$a'| @t1 @t102)) % 0.84/1.04 (define @t107 () (@list @t1 @t102)) % 0.84/1.04 (define @t108 () (|tptp.'times$'| @t96)) % 0.84/1.04 (define @t109 () (|tptp.'fun_app$b'| @t108 @t7)) % 0.84/1.04 (define @t110 () (|tptp.'times$a'| @t102 @t1)) % 0.84/1.04 (define @t111 () (= @t96 |tptp.'zero$a'|)) % 0.84/1.04 (define @t112 () (= @t1 1)) % 0.84/1.04 (define @t113 () (= @t102 0)) % 0.84/1.04 (define @t114 () (and @t104 @t113)) % 0.84/1.04 (define @t115 () (|tptp.'times$a'| @t1 @t1)) % 0.84/1.04 (define @t116 () (+ @t115 (|tptp.'times$a'| @t102 @t102))) % 0.84/1.04 (define @t117 () (<= @t102 0)) % 0.84/1.04 (define @t118 () (+ @t1 @t102)) % 0.84/1.04 (define @t119 () (<= @t1 0)) % 0.84/1.04 (define @t120 () (<= 0 @t102)) % 0.84/1.04 (define @t121 () (+ @t102 @t1)) % 0.84/1.04 (define @t122 () (+ @t1 @t1)) % 0.84/1.04 (define @t123 () (<= 0 @t1)) % 0.84/1.04 (define @t124 () (@var "A__questionmark_v2" Int)) % 0.84/1.04 (define @t125 () (= @t1 @t124)) % 0.84/1.04 (define @t126 () (+ @t124 @t102)) % 0.84/1.04 (define @t127 () (= @t118 @t126)) % 0.84/1.04 (define @t128 () (@list @t1 @t102 @t124)) % 0.84/1.04 (define @t129 () (= @t102 @t124)) % 0.84/1.04 (define @t130 () (+ @t1 @t124)) % 0.84/1.04 (define @t131 () (= @t118 @t130)) % 0.84/1.04 (define @t132 () (@var "A__questionmark_v3" |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t133 () (@var "A__questionmark_v1" |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t134 () (@var "A__questionmark_v2" |tptp.'A$'|)) % 0.84/1.04 (define @t135 () (= @t7 @t134)) % 0.84/1.04 (define @t136 () (and @t135 (= @t133 @t132))) % 0.84/1.04 (define @t137 () (|tptp.'pair$'| @t134 @t132)) % 0.84/1.04 (define @t138 () (|tptp.'pair$'| @t7 @t133)) % 0.84/1.04 (define @t139 () (= @t138 @t137)) % 0.84/1.04 (define @t140 () (@list @t7 @t133 @t134 @t132)) % 0.84/1.04 (define @t141 () (@var "A__questionmark_v3" |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (define @t142 () (@var "A__questionmark_v1" |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (define @t143 () (@var "A__questionmark_v2" |tptp.'Nat$'|)) % 0.84/1.04 (define @t144 () (= @t5 @t143)) % 0.84/1.04 (define @t145 () (and @t144 (= @t142 @t141))) % 0.84/1.04 (define @t146 () (|tptp.'pair$a'| @t143 @t141)) % 0.84/1.04 (define @t147 () (|tptp.'pair$a'| @t5 @t142)) % 0.84/1.04 (define @t148 () (= @t147 @t146)) % 0.84/1.04 (define @t149 () (@list @t5 @t142 @t143 @t141)) % 0.84/1.04 (define @t150 () (@var "A__questionmark_v3" |tptp.'A_iarray$'|)) % 0.84/1.04 (define @t151 () (@var "A__questionmark_v1" |tptp.'A_iarray$'|)) % 0.84/1.04 (define @t152 () (and @t144 (= @t151 @t150))) % 0.84/1.04 (define @t153 () (|tptp.'pair$b'| @t143 @t150)) % 0.84/1.04 (define @t154 () (|tptp.'pair$b'| @t5 @t151)) % 0.84/1.04 (define @t155 () (= @t154 @t153)) % 0.84/1.04 (define @t156 () (@list @t5 @t151 @t143 @t150)) % 0.84/1.04 (define @t157 () (@var "A__questionmark_v3" |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t158 () (@var "A__questionmark_v1" |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t159 () (and @t135 (= @t158 @t157))) % 0.84/1.04 (define @t160 () (|tptp.'pair$c'| @t134 @t157)) % 0.84/1.04 (define @t161 () (|tptp.'pair$c'| @t7 @t158)) % 0.84/1.04 (define @t162 () (= @t161 @t160)) % 0.84/1.04 (define @t163 () (@list @t7 @t158 @t134 @t157)) % 0.84/1.04 (define @t164 () (@var "A__questionmark_v3" |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (define @t165 () (@var "A__questionmark_v1" |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (define @t166 () (and @t144 (= @t165 @t164))) % 0.84/1.04 (define @t167 () (|tptp.'pair$d'| @t143 @t164)) % 0.84/1.04 (define @t168 () (|tptp.'pair$d'| @t5 @t165)) % 0.84/1.04 (define @t169 () (= @t168 @t167)) % 0.84/1.04 (define @t170 () (@list @t5 @t165 @t143 @t164)) % 0.84/1.04 (define @t171 () (<= @t1 @t124)) % 0.84/1.04 (define @t172 () (<= @t118 @t126)) % 0.84/1.04 (define @t173 () (<= @t102 @t124)) % 0.84/1.04 (define @t174 () (<= @t118 @t130)) % 0.84/1.04 (define @t175 () (|tptp.'times$'| @t134)) % 0.84/1.04 (define @t176 () (|tptp.'fun_app$b'| @t175 @t96)) % 0.84/1.04 (define @t177 () (= @t100 @t176)) % 0.84/1.04 (define @t178 () (@list @t7 @t96 @t134)) % 0.84/1.04 (define @t179 () (|tptp.'times$a'| @t124 @t102)) % 0.84/1.04 (define @t180 () (@var "A__questionmark_v1" |tptp.'Nat$'|)) % 0.84/1.04 (define @t181 () (= @t180 |tptp.'zero$'|)) % 0.84/1.04 (define @t182 () (|tptp.'times$b'| @t143)) % 0.84/1.04 (define @t183 () (|tptp.'fun_app$a'| @t182 @t180)) % 0.84/1.04 (define @t184 () (|tptp.'times$b'| @t5)) % 0.84/1.04 (define @t185 () (|tptp.'fun_app$a'| @t184 @t180)) % 0.84/1.04 (define @t186 () (@list @t5 @t180 @t143)) % 0.84/1.04 (define @t187 () (= @t96 @t134)) % 0.84/1.04 (define @t188 () (|tptp.'fun_app$b'| @t99 @t134)) % 0.84/1.04 (define @t189 () (= @t100 @t188)) % 0.84/1.04 (define @t190 () (|tptp.'times$a'| @t1 @t124)) % 0.84/1.04 (define @t191 () (= @t106 @t190)) % 0.84/1.04 (define @t192 () (= @t180 @t143)) % 0.84/1.04 (define @t193 () (= @t5 |tptp.'zero$'|)) % 0.84/1.04 (define @t194 () (|tptp.'fun_app$a'| @t184 @t143)) % 0.84/1.04 (define @t195 () (= @t185 @t194)) % 0.84/1.04 (define @t196 () (or @t97 @t111)) % 0.84/1.04 (define @t197 () (= @t100 |tptp.'zero$a'|)) % 0.84/1.04 (define @t198 () (or @t104 @t113)) % 0.84/1.04 (define @t199 () (= @t106 0)) % 0.84/1.04 (define @t200 () (or @t193 @t181)) % 0.84/1.04 (define @t201 () (= @t185 |tptp.'zero$'|)) % 0.84/1.04 (define @t202 () (@list @t5 @t180)) % 0.84/1.04 (define @t203 () (|tptp.'times$'| |tptp.'zero$a'|)) % 0.84/1.04 (define @t204 () (|tptp.'times$b'| |tptp.'zero$'|)) % 0.84/1.04 (define @t205 () (|tptp.'plus$'| @t7)) % 0.84/1.04 (define @t206 () (|tptp.'fun_app$b'| @t205 @t96)) % 0.84/1.04 (define @t207 () (|tptp.'plus$'| @t96)) % 0.84/1.04 (define @t208 () (< @t1 @t124)) % 0.84/1.04 (define @t209 () (< @t118 @t126)) % 0.84/1.04 (define @t210 () (< @t102 @t124)) % 0.84/1.04 (define @t211 () (< @t118 @t130)) % 0.84/1.04 (define @t212 () (|tptp.'times$'| |tptp.'one$'|)) % 0.84/1.04 (define @t213 () (|tptp.'times$b'| |tptp.'one$a'|)) % 0.84/1.04 (define @t214 () (< 0 @t1)) % 0.84/1.04 (define @t215 () (< @t1 0)) % 0.84/1.04 (define @t216 () (< 0 @t102)) % 0.84/1.04 (define @t217 () (< @t102 0)) % 0.84/1.04 (define @t218 () (< @t1 @t102)) % 0.84/1.04 (define @t219 () (= @t1 @t102)) % 0.84/1.04 (define @t220 () (+ @t102 @t124)) % 0.84/1.04 (define @t221 () (+ @t124 @t1)) % 0.84/1.04 (define @t222 () (@var "A__questionmark_v3" Int)) % 0.84/1.04 (define @t223 () (+ @t102 @t222)) % 0.84/1.04 (define @t224 () (< @t130 @t223)) % 0.84/1.04 (define @t225 () (< @t124 @t222)) % 0.84/1.04 (define @t226 () (@list @t1 @t102 @t124 @t222)) % 0.84/1.04 (define @t227 () (= @t124 @t222)) % 0.84/1.04 (define @t228 () (|tptp.'fun_app$b'| @t108 @t134)) % 0.84/1.04 (define @t229 () (|tptp.'fun_app$b'| @t99 @t228)) % 0.84/1.04 (define @t230 () (|tptp.'times$a'| @t102 @t124)) % 0.84/1.04 (define @t231 () (|tptp.'times$a'| @t1 @t230)) % 0.84/1.04 (define @t232 () (|tptp.'times$b'| @t180)) % 0.84/1.04 (define @t233 () (|tptp.'fun_app$a'| @t232 @t143)) % 0.84/1.04 (define @t234 () (|tptp.'fun_app$a'| @t184 @t233)) % 0.84/1.04 (define @t235 () (|tptp.'fun_app$a'| @t232 @t5)) % 0.84/1.04 (define @t236 () (|tptp.'fun_app$b'| (|tptp.'times$'| @t100) @t134)) % 0.84/1.04 (define @t237 () (+ @t1 @t220)) % 0.84/1.04 (define @t238 () (= @t1 @t220)) % 0.84/1.04 (define @t239 () (@var "A__questionmark_v1" |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (define @t240 () (@var "A__questionmark_v0" |tptp.'A_nat_a_b_vec_c_vec_prod_prod_bool_fun$'|)) % 0.84/1.04 (define @t241 () (|tptp.'fun_app$f'| @t240 @t239)) % 0.84/1.04 (define @t242 () (@list @t240 @t239)) % 0.84/1.04 (define @t243 () (@var "A__questionmark_v0" |tptp.'Nat_a_b_vec_c_vec_prod_bool_fun$'|)) % 0.84/1.04 (define @t244 () (@var "A__questionmark_v1" |tptp.'Nat_a_iarray_prod$'|)) % 0.84/1.04 (define @t245 () (@var "A__questionmark_v0" |tptp.'Nat_a_iarray_prod_bool_fun$'|)) % 0.84/1.04 (define @t246 () (@var "A__questionmark_v1" |tptp.'A_nat_a_iarray_iarray_prod_prod$'|)) % 0.84/1.04 (define @t247 () (@var "A__questionmark_v0" |tptp.'A_nat_a_iarray_iarray_prod_prod_bool_fun$'|)) % 0.84/1.04 (define @t248 () (|tptp.'fun_app$h'| @t247 @t246)) % 0.84/1.04 (define @t249 () (@list @t247 @t246)) % 0.84/1.04 (define @t250 () (@var "A__questionmark_v0" |tptp.'Nat_a_iarray_iarray_prod_bool_fun$'|)) % 0.84/1.04 (define @t251 () (@var "A__questionmark_v2" |tptp.'Nat_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t252 () (|tptp.'pair$'| @t96 @t251)) % 0.84/1.04 (define @t253 () (= @t81 @t252)) % 0.84/1.04 (define @t254 () (@list @t96 @t251)) % 0.84/1.04 (define @t255 () (@var "A__questionmark_v2" |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (define @t256 () (|tptp.'pair$a'| @t180 @t255)) % 0.84/1.04 (define @t257 () (= @t61 @t256)) % 0.84/1.04 (define @t258 () (@list @t180 @t255)) % 0.84/1.04 (define @t259 () (@var "A__questionmark_v2" |tptp.'A_iarray$'|)) % 0.84/1.04 (define @t260 () (|tptp.'pair$b'| @t180 @t259)) % 0.84/1.04 (define @t261 () (= @t66 @t260)) % 0.84/1.04 (define @t262 () (@list @t180 @t259)) % 0.84/1.04 (define @t263 () (@var "A__questionmark_v2" |tptp.'Nat_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t264 () (|tptp.'pair$c'| @t96 @t263)) % 0.84/1.04 (define @t265 () (= @t86 @t264)) % 0.84/1.04 (define @t266 () (@list @t96 @t263)) % 0.84/1.04 (define @t267 () (@var "A__questionmark_v2" |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (define @t268 () (|tptp.'pair$d'| @t180 @t267)) % 0.84/1.04 (define @t269 () (= @t71 @t268)) % 0.84/1.04 (define @t270 () (@list @t180 @t267)) % 0.84/1.04 (define @t271 () (<= @t124 @t222)) % 0.84/1.04 (define @t272 () (<= @t1 @t102)) % 0.84/1.04 (define @t273 () (|tptp.'fun_app$a'| @t182 @t5)) % 0.84/1.04 (define @t274 () (|tptp.'less$'| |tptp.'zero$'|)) % 0.84/1.04 (define @t275 () (|tptp.'fun_app$j'| @t274 @t143)) % 0.84/1.04 (define @t276 () (|tptp.'less$'| @t5)) % 0.84/1.04 (define @t277 () (|tptp.'fun_app$j'| @t276 @t180)) % 0.84/1.04 (define @t278 () (and @t277 @t275)) % 0.84/1.04 (define @t279 () (|tptp.'times$a'| @t124 @t1)) % 0.84/1.04 (define @t280 () (< 0 @t124)) % 0.84/1.04 (define @t281 () (and @t218 @t280)) % 0.84/1.04 (define @t282 () (< @t124 @t1)) % 0.84/1.04 (define @t283 () (< @t106 @t179)) % 0.84/1.04 (define @t284 () (|tptp.'less$'| @t194)) % 0.84/1.04 (define @t285 () (and @t218 (< @t124 0))) % 0.84/1.04 (define @t286 () (< @t124 @t102)) % 0.84/1.04 (define @t287 () (and @t214 @t210)) % 0.84/1.04 (define @t288 () (< @t106 @t190)) % 0.84/1.04 (define @t289 () (|tptp.'fun_app$j'| @t274 @t5)) % 0.84/1.04 (define @t290 () (|tptp.'fun_app$j'| @t274 @t180)) % 0.84/1.04 (define @t291 () (|tptp.'fun_app$j'| @t274 @t185)) % 0.84/1.04 (define @t292 () (< 0 @t106)) % 0.84/1.04 (define @t293 () (and @t215 @t217)) % 0.84/1.04 (define @t294 () (and @t214 @t216)) % 0.84/1.04 (define @t295 () (|tptp.'less$'| @t180)) % 0.84/1.04 (define @t296 () (and @t289 (|tptp.'fun_app$j'| @t295 |tptp.'zero$'|))) % 0.84/1.04 (define @t297 () (and @t214 @t217)) % 0.84/1.04 (define @t298 () (|tptp.'less$'| @t185)) % 0.84/1.04 (define @t299 () (|tptp.'fun_app$j'| @t298 |tptp.'zero$'|)) % 0.84/1.04 (define @t300 () (< @t106 0)) % 0.84/1.04 (define @t301 () (and @t215 @t216)) % 0.84/1.04 (define @t302 () (< @t102 @t130)) % 0.84/1.04 (define @t303 () (< 0 @t118)) % 0.84/1.04 (define @t304 () (< @t118 0)) % 0.84/1.04 (define @t305 () (|tptp.'less$'| |tptp.'one$a'|)) % 0.84/1.04 (define @t306 () (< 1 @t102)) % 0.84/1.04 (define @t307 () (< 1 @t1)) % 0.84/1.04 (define @t308 () (+ @t1 1)) % 0.84/1.04 (define @t309 () (@var "A__questionmark_v3" |tptp.'Nat$'|)) % 0.84/1.04 (define @t310 () (|tptp.'fun_app$a'| @t232 @t309)) % 0.84/1.04 (define @t311 () (|tptp.'fun_app$j'| @t284 @t310)) % 0.84/1.04 (define @t312 () (|tptp.'less_eq$a'| |tptp.'zero$'|)) % 0.84/1.04 (define @t313 () (|tptp.'fun_app$j'| @t312 @t5)) % 0.84/1.04 (define @t314 () (|tptp.'fun_app$j'| (|tptp.'less_eq$a'| @t143) @t309)) % 0.84/1.04 (define @t315 () (@list @t5 @t180 @t143 @t309)) % 0.84/1.04 (define @t316 () (|tptp.'times$a'| @t102 @t222)) % 0.84/1.04 (define @t317 () (< @t190 @t316)) % 0.84/1.04 (define @t318 () (|tptp.'fun_app$j'| @t312 @t143)) % 0.84/1.04 (define @t319 () (|tptp.'fun_app$j'| (|tptp.'less$'| @t143) @t309)) % 0.84/1.04 (define @t320 () (|tptp.'less_eq$a'| @t5)) % 0.84/1.04 (define @t321 () (|tptp.'fun_app$j'| @t320 @t180)) % 0.84/1.04 (define @t322 () (<= 0 @t124)) % 0.84/1.04 (define @t323 () (|tptp.'less_eq$a'| @t185)) % 0.84/1.04 (define @t324 () (<= @t106 @t179)) % 0.84/1.04 (define @t325 () (|tptp.'less_eq$a'| @t180)) % 0.84/1.04 (define @t326 () (<= @t106 @t190)) % 0.84/1.04 (define @t327 () (<= @t124 @t102)) % 0.84/1.04 (define @t328 () (|tptp.'fun_app$j'| @t312 @t180)) % 0.84/1.04 (define @t329 () (not @t113)) % 0.84/1.04 (define @t330 () (not @t104)) % 0.84/1.04 (define @t331 () (<= @t130 @t223)) % 0.84/1.04 (define @t332 () (= @t109 (|tptp.'fun_app$b'| @t175 @t7))) % 0.84/1.04 (define @t333 () (not @t97)) % 0.84/1.04 (define @t334 () (not @t193)) % 0.84/1.04 (define @t335 () (not @t197)) % 0.84/1.04 (define @t336 () (and @t333 (not @t111))) % 0.84/1.04 (define @t337 () (not @t199)) % 0.84/1.04 (define @t338 () (and @t330 @t329)) % 0.84/1.04 (define @t339 () (not @t201)) % 0.84/1.04 (define @t340 () (and @t334 (not @t181))) % 0.84/1.04 (define @t341 () (@var "A__questionmark_v3" |tptp.'A$'|)) % 0.84/1.04 (define @t342 () (|tptp.'fun_app$b'| @t205 @t134)) % 0.84/1.04 (define @t343 () (|tptp.'plus$'| @t100)) % 0.84/1.04 (define @t344 () (|tptp.'plus$a'| @t5)) % 0.84/1.04 (define @t345 () (|tptp.'fun_app$a'| @t344 @t143)) % 0.84/1.04 (define @t346 () (|tptp.'plus$a'| @t185)) % 0.84/1.04 (define @t347 () (|tptp.'snd$'| @t147)) % 0.84/1.04 (define @t348 () (@list @t5 @t142)) % 0.84/1.04 (define @t349 () (forall @t348 (= @t347 @t142))) % 0.84/1.04 (define @t350 () (|tptp.'snd$f'| @t154)) % 0.84/1.04 (define @t351 () (@list @t5 @t151)) % 0.84/1.04 (define @t352 () (|tptp.'snd$c'| @t168)) % 0.84/1.04 (define @t353 () (@list @t5 @t165)) % 0.84/1.04 (define @t354 () (forall @t353 (= @t352 @t165))) % 0.84/1.04 (define @t355 () (|tptp.'pair$e'| @t7 @t142)) % 0.84/1.04 (define @t356 () (|tptp.'snd$b'| @t355)) % 0.84/1.04 (define @t357 () (@list @t7 @t142)) % 0.84/1.04 (define @t358 () (|tptp.'snd$a'| @t138)) % 0.84/1.04 (define @t359 () (@list @t7 @t133)) % 0.84/1.04 (define @t360 () (forall @t359 (= @t358 @t133))) % 0.84/1.04 (define @t361 () (|tptp.'snd$d'| @t161)) % 0.84/1.04 (define @t362 () (@list @t7 @t158)) % 0.84/1.04 (define @t363 () (forall @t362 (= @t361 @t158))) % 0.84/1.04 (define @t364 () (|tptp.'pair$f'| @t7 @t165)) % 0.84/1.04 (define @t365 () (|tptp.'snd$e'| @t364)) % 0.84/1.04 (define @t366 () (@list @t7 @t165)) % 0.84/1.04 (define @t367 () (= @t142 @t255)) % 0.84/1.04 (define @t368 () (= @t165 @t267)) % 0.84/1.04 (define @t369 () (|tptp.'fst$e'| @t138)) % 0.84/1.04 (define @t370 () (|tptp.'fst$b'| @t147)) % 0.84/1.04 (define @t371 () (|tptp.'fst$c'| @t154)) % 0.84/1.04 (define @t372 () (|tptp.'fst$f'| @t161)) % 0.84/1.04 (define @t373 () (|tptp.'fst$d'| @t168)) % 0.84/1.04 (define @t374 () (|tptp.'fst$'| @t355)) % 0.84/1.04 (define @t375 () (|tptp.'fst$a'| @t364)) % 0.84/1.04 (define @t376 () (< @t102 1)) % 0.84/1.04 (define @t377 () (and (=> @t123 @t306) (=> @t119 @t376))) % 0.84/1.04 (define @t378 () (<= @t1 1)) % 0.84/1.04 (define @t379 () (<= @t102 1)) % 0.84/1.04 (define @t380 () (<= 1 @t102)) % 0.84/1.04 (define @t381 () (and (=> @t214 @t380) (=> @t215 @t379))) % 0.84/1.04 (define @t382 () (<= @t106 @t1)) % 0.84/1.04 (define @t383 () (@var "A__questionmark_v4" |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (define @t384 () (@var "A__questionmark_v4" |tptp.'A_iarray_iarray$'|)) % 0.84/1.04 (define @t385 () (|tptp.'snd$c'| @t158)) % 0.84/1.04 (define @t386 () (|tptp.'fst$d'| @t158)) % 0.84/1.04 (define @t387 () (and (= @t73 @t386) (= @t72 @t385))) % 0.84/1.04 (define @t388 () (= @t71 @t158)) % 0.84/1.04 (define @t389 () (@list @t71 @t158)) % 0.84/1.04 (define @t390 () (@var "A__questionmark_v1" |tptp.'A_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t391 () (|tptp.'snd$b'| @t390)) % 0.84/1.04 (define @t392 () (|tptp.'fst$'| @t390)) % 0.84/1.04 (define @t393 () (and (= @t78 @t392) (= @t77 @t391))) % 0.84/1.04 (define @t394 () (= @t76 @t390)) % 0.84/1.04 (define @t395 () (@list @t76 @t390)) % 0.84/1.04 (define @t396 () (|tptp.'snd$a'| @t239)) % 0.84/1.04 (define @t397 () (|tptp.'fst$e'| @t239)) % 0.84/1.04 (define @t398 () (and (= @t83 @t397) (= @t82 @t396))) % 0.84/1.04 (define @t399 () (= @t81 @t239)) % 0.84/1.04 (define @t400 () (@list @t81 @t239)) % 0.84/1.04 (define @t401 () (|tptp.'snd$d'| @t246)) % 0.84/1.04 (define @t402 () (|tptp.'fst$f'| @t246)) % 0.84/1.04 (define @t403 () (and (= @t88 @t402) (= @t87 @t401))) % 0.84/1.04 (define @t404 () (= @t86 @t246)) % 0.84/1.04 (define @t405 () (@list @t86 @t246)) % 0.84/1.04 (define @t406 () (@var "A__questionmark_v1" |tptp.'A_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t407 () (|tptp.'snd$e'| @t406)) % 0.84/1.04 (define @t408 () (|tptp.'fst$a'| @t406)) % 0.84/1.04 (define @t409 () (and (= @t93 @t408) (= @t92 @t407))) % 0.84/1.04 (define @t410 () (= @t91 @t406)) % 0.84/1.04 (define @t411 () (@list @t91 @t406)) % 0.84/1.04 (define @t412 () (@var "A__questionmark_v4" Int)) % 0.84/1.04 (define @t413 () (+ (|tptp.'times$a'| @t222 @t1) (|tptp.'times$a'| @t412 @t124))) % 0.84/1.04 (define @t414 () (+ @t222 @t412)) % 0.84/1.04 (define @t415 () (= @t414 1)) % 0.84/1.04 (define @t416 () (<= 0 @t412)) % 0.84/1.04 (define @t417 () (<= 0 @t222)) % 0.84/1.04 (define @t418 () (@list @t1 @t102 @t124 @t222 @t412)) % 0.84/1.04 (define @t419 () (and @t321 @t318)) % 0.84/1.04 (define @t420 () (and @t272 @t322)) % 0.84/1.04 (define @t421 () (and @t119 @t117)) % 0.84/1.04 (define @t422 () (and @t123 @t120)) % 0.84/1.04 (define @t423 () (or @t422 @t421)) % 0.84/1.04 (define @t424 () (<= 0 @t106)) % 0.84/1.04 (define @t425 () (|tptp.'less_eq$a'| @t235)) % 0.84/1.04 (define @t426 () (and @t313 (|tptp.'fun_app$j'| @t325 |tptp.'zero$'|))) % 0.84/1.04 (define @t427 () (and @t123 @t117)) % 0.84/1.04 (define @t428 () (|tptp.'fun_app$j'| @t323 |tptp.'zero$'|)) % 0.84/1.04 (define @t429 () (and (|tptp.'fun_app$j'| @t320 |tptp.'zero$'|) @t328)) % 0.84/1.04 (define @t430 () (<= @t106 0)) % 0.84/1.04 (define @t431 () (and @t119 @t120)) % 0.84/1.04 (define @t432 () (or @t427 @t431)) % 0.84/1.04 (define @t433 () (|tptp.'less_eq$a'| @t194)) % 0.84/1.04 (define @t434 () (and @t272 (<= @t124 0))) % 0.84/1.04 (define @t435 () (|tptp.'fun_app$j'| @t433 @t310)) % 0.84/1.04 (define @t436 () (<= @t190 @t316)) % 0.84/1.04 (define @t437 () (= (= @t118 0) @t114)) % 0.84/1.04 (define @t438 () (and @t123 @t173)) % 0.84/1.04 (define @t439 () (and @t119 @t173)) % 0.84/1.04 (define @t440 () (= @t61 @t64)) % 0.84/1.04 (define @t441 () (= @t66 @t69)) % 0.84/1.04 (define @t442 () (= @t71 @t74)) % 0.84/1.04 (define @t443 () (= @t76 @t79)) % 0.84/1.04 (define @t444 () (= @t81 @t84)) % 0.84/1.04 (define @t445 () (= @t86 @t89)) % 0.84/1.04 (define @t446 () (= @t91 @t94)) % 0.84/1.04 (define @t447 () (|tptp.'fun_app$j'| @t320 |tptp.'one$a'|)) % 0.84/1.04 (define @t448 () (|tptp.'fun_app$j'| @t325 |tptp.'one$a'|)) % 0.84/1.04 (define @t449 () (and @t123 @t120 @t379)) % 0.84/1.04 (define @t450 () (|tptp.'fst$d'| @t87)) % 0.84/1.04 (define @t451 () (|tptp.'snd$c'| @t87)) % 0.84/1.04 (define @t452 () (|tptp.'gauss_Jordan_in_ij_det_P_iarrays$'| @t451 @t450 @t180)) % 0.84/1.04 (define @t453 () (|tptp.'of_nat$'| @t450)) % 0.84/1.04 (define @t454 () (|tptp.'gauss_Jordan_column_k_det_P_iarrays$'| @t86 @t180)) % 0.84/1.04 (define @t455 () (or (|tptp.'fun_app$e'| |tptp.'vector_all_zero_from_index$'| (|tptp.'pair$b'| @t450 (|tptp.'column_iarray$'| @t180 @t451))) (= @t453 (|tptp.'of_nat$'| (|tptp.'nrows_iarray$'| @t451))))) % 0.84/1.04 (define @t456 () (|tptp.'from_nat$'| @t180)) % 0.84/1.04 (define @t457 () (@var "A__questionmark_v0" |tptp.'A_nat_a_c_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (define @t458 () (|tptp.'snd$g'| @t457)) % 0.84/1.04 (define @t459 () (|tptp.'fst$g'| @t458)) % 0.84/1.04 (define @t460 () (|tptp.'from_nat$'| @t459)) % 0.84/1.04 (define @t461 () (|tptp.'snd$h'| @t458)) % 0.84/1.04 (define @t462 () (|tptp.'gauss_Jordan_in_ij_det_P$a'| @t461 @t460 @t456)) % 0.84/1.04 (define @t463 () (|tptp.'of_nat$'| @t459)) % 0.84/1.04 (define @t464 () (|tptp.'fst$h'| @t457)) % 0.84/1.04 (define @t465 () (|tptp.'gauss_Jordan_column_k_det_P$'| @t457 @t180)) % 0.84/1.04 (define @t466 () (@var "A__questionmark_v2" |tptp.'C$'|)) % 0.84/1.04 (define @t467 () (@list @t466)) % 0.84/1.04 (define @t468 () (or (forall @t467 (=> (|tptp.'less_eq$'| @t460 @t466) (= (|tptp.'vec_nth$b'| (|tptp.'vec_nth$c'| @t461 @t466) @t456) |tptp.'zero$a'|))) (= @t463 (|tptp.'of_nat$'| (|tptp.'nrows$a'| @t461))))) % 0.84/1.04 (define @t469 () (@var "A__questionmark_v0" |tptp.'A_nat_a_c_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (define @t470 () (|tptp.'snd$j'| @t469)) % 0.84/1.04 (define @t471 () (|tptp.'fst$j'| @t470)) % 0.84/1.04 (define @t472 () (|tptp.'from_nat$a'| @t471)) % 0.84/1.04 (define @t473 () (|tptp.'snd$k'| @t470)) % 0.84/1.04 (define @t474 () (|tptp.'gauss_Jordan_in_ij_det_P$b'| @t473 @t472 @t456)) % 0.84/1.04 (define @t475 () (|tptp.'of_nat$'| @t471)) % 0.84/1.04 (define @t476 () (|tptp.'fst$k'| @t469)) % 0.84/1.04 (define @t477 () (|tptp.'gauss_Jordan_column_k_det_P$a'| @t469 @t180)) % 0.84/1.04 (define @t478 () (@var "A__questionmark_v2" |tptp.'B$'|)) % 0.84/1.04 (define @t479 () (@list @t478)) % 0.84/1.04 (define @t480 () (or (forall @t479 (=> (|tptp.'less_eq$b'| @t472 @t478) (= (|tptp.'vec_nth$b'| (|tptp.'vec_nth$d'| @t473 @t478) @t456) |tptp.'zero$a'|))) (= @t475 (|tptp.'of_nat$'| (|tptp.'nrows$b'| @t473))))) % 0.84/1.04 (define @t481 () (|tptp.'from_nat$a'| @t180)) % 0.84/1.04 (define @t482 () (@var "A__questionmark_v0" |tptp.'A_nat_a_b_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (define @t483 () (|tptp.'snd$m'| @t482)) % 0.84/1.04 (define @t484 () (|tptp.'fst$m'| @t483)) % 0.84/1.04 (define @t485 () (|tptp.'from_nat$a'| @t484)) % 0.84/1.04 (define @t486 () (|tptp.'snd$n'| @t483)) % 0.84/1.04 (define @t487 () (|tptp.'gauss_Jordan_in_ij_det_P$c'| @t486 @t485 @t481)) % 0.84/1.04 (define @t488 () (|tptp.'of_nat$'| @t484)) % 0.84/1.04 (define @t489 () (|tptp.'fst$n'| @t482)) % 0.84/1.04 (define @t490 () (|tptp.'gauss_Jordan_column_k_det_P$b'| @t482 @t180)) % 0.84/1.04 (define @t491 () (or (forall @t479 (=> (|tptp.'less_eq$b'| @t485 @t478) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$e'| @t486 @t478)) @t481) |tptp.'zero$a'|))) (= @t488 (|tptp.'of_nat$'| (|tptp.'nrows$c'| @t486))))) % 0.84/1.04 (define @t492 () (|tptp.'fst$b'| @t82)) % 0.84/1.04 (define @t493 () (|tptp.'from_nat$'| @t492)) % 0.84/1.04 (define @t494 () (|tptp.'snd$'| @t82)) % 0.84/1.04 (define @t495 () (|tptp.'gauss_Jordan_in_ij_det_P$'| @t494 @t493 @t481)) % 0.84/1.04 (define @t496 () (|tptp.'of_nat$'| @t492)) % 0.84/1.04 (define @t497 () (|tptp.'gauss_Jordan_column_k_det_P$c'| @t81 @t180)) % 0.84/1.04 (define @t498 () (or (forall @t467 (=> (|tptp.'less_eq$'| @t493 @t466) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| @t494) @t466)) @t481) |tptp.'zero$a'|))) (= @t496 (|tptp.'of_nat$'| (|tptp.'nrows$'| @t494))))) % 0.84/1.04 (define @t499 () (|tptp.'of_nat$'| @t5)) % 0.84/1.04 (define @t500 () (|tptp.'nat$'| (+ @t499 1))) % 0.84/1.04 (define @t501 () (= @t499 0)) % 0.84/1.04 (define @t502 () (|tptp.'of_nat$'| @t143)) % 0.84/1.04 (define @t503 () (|tptp.'of_nat$'| @t180)) % 0.84/1.04 (define @t504 () (<= @t503 @t502)) % 0.84/1.04 (define @t505 () (+ @t499 @t502)) % 0.84/1.04 (define @t506 () (+ @t499 @t503)) % 0.84/1.04 (define @t507 () (< 0 @t503)) % 0.84/1.04 (define @t508 () (< 0 @t499)) % 0.84/1.04 (define @t509 () (< @t503 @t502)) % 0.84/1.04 (define @t510 () (<= @t499 @t502)) % 0.84/1.04 (define @t511 () (|tptp.'times$a'| @t502 @t503)) % 0.84/1.04 (define @t512 () (|tptp.'times$a'| @t499 @t503)) % 0.84/1.04 (define @t513 () (|tptp.'times$a'| @t499 @t502)) % 0.84/1.04 (define @t514 () (<= @t512 @t513)) % 0.84/1.04 (define @t515 () (|tptp.'fun_app$b'| (|tptp.'plus$'| @t78) @t392)) % 0.84/1.04 (define @t516 () (|tptp.'plus$d'| @t76 @t390)) % 0.84/1.04 (define @t517 () (|tptp.'fun_app$b'| (|tptp.'plus$'| @t93) @t408)) % 0.84/1.04 (define @t518 () (|tptp.'plus$e'| @t91 @t406)) % 0.84/1.04 (define @t519 () (|tptp.'plus$g'| @t72 @t385)) % 0.84/1.04 (define @t520 () (|tptp.'plus$f'| @t71 @t158)) % 0.84/1.04 (define @t521 () (|tptp.'plus$h'| @t77 @t391)) % 0.84/1.04 (define @t522 () (|tptp.'plus$j'| @t82 @t396)) % 0.84/1.04 (define @t523 () (|tptp.'plus$i'| @t81 @t239)) % 0.84/1.04 (define @t524 () (|tptp.'plus$f'| @t87 @t401)) % 0.84/1.04 (define @t525 () (|tptp.'plus$k'| @t86 @t246)) % 0.84/1.04 (define @t526 () (|tptp.'plus$g'| @t92 @t407)) % 0.84/1.04 (define @t527 () (|tptp.'fst$'| |tptp.'zero$b'|)) % 0.84/1.04 (define @t528 () (< @t499 0)) % 0.84/1.04 (define @t529 () (not @t501)) % 0.84/1.04 (define @t530 () (<= 0 @t499)) % 0.84/1.04 (define @t531 () (= @t503 0)) % 0.84/1.04 (define @t532 () (= @t503 @t502)) % 0.84/1.04 (define @t533 () (= @t512 @t513)) % 0.84/1.04 (define @t534 () (= @t503 1)) % 0.84/1.04 (define @t535 () (and (= @t499 1) @t534)) % 0.84/1.04 (define @t536 () (< @t512 @t513)) % 0.84/1.04 (define @t537 () (< @t499 @t502)) % 0.84/1.04 (define @t538 () (|tptp.'pair$m'| @t1 @t102)) % 0.84/1.04 (define @t539 () (=> @t501 false)) % 0.84/1.04 (define @t540 () (< @t503 @t499)) % 0.84/1.04 (define @t541 () (< @t499 @t503)) % 0.84/1.04 (define @t542 () (= @t499 @t503)) % 0.84/1.04 (define @t543 () (not @t542)) % 0.84/1.04 (define @t544 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|)) % 0.84/1.04 (define @t545 () (|tptp.'fun_app$j'| @t544 @t180)) % 0.84/1.04 (define @t546 () (|tptp.'fun_app$j'| @t544 @t309)) % 0.84/1.04 (define @t547 () (not @t546)) % 0.84/1.04 (define @t548 () (|tptp.'of_nat$'| @t309)) % 0.84/1.04 (define @t549 () (< @t548 @t502)) % 0.84/1.04 (define @t550 () (@list @t309)) % 0.84/1.04 (define @t551 () (exists @t550 (and @t549 @t547))) % 0.84/1.04 (define @t552 () (|tptp.'fun_app$j'| @t544 @t143)) % 0.84/1.04 (define @t553 () (not @t552)) % 0.84/1.04 (define @t554 () (< 0 @t502)) % 0.84/1.04 (define @t555 () (@list @t143)) % 0.84/1.04 (define @t556 () (|tptp.'nat$'| 0)) % 0.84/1.04 (define @t557 () (|tptp.'fun_app$j'| @t544 @t556)) % 0.84/1.04 (define @t558 () (@list @t544 @t180)) % 0.84/1.04 (define @t559 () (|tptp.'times$a'| @t502 @t499)) % 0.84/1.04 (define @t560 () (and @t541 @t554)) % 0.84/1.04 (define @t561 () (|tptp.'times$a'| @t503 @t502)) % 0.84/1.04 (define @t562 () (< @t499 @t499)) % 0.84/1.04 (define @t563 () (@var "A__questionmark_v4" |tptp.'Nat$'|)) % 0.84/1.04 (define @t564 () (|tptp.'of_nat$'| @t563)) % 0.84/1.04 (define @t565 () (<= @t503 @t499)) % 0.84/1.04 (define @t566 () (<= @t499 @t503)) % 0.84/1.04 (define @t567 () (and @t566 (<= @t502 @t548))) % 0.84/1.04 (define @t568 () (|tptp.'times$a'| @t499 @t499)) % 0.84/1.04 (define @t569 () (<= @t499 0)) % 0.84/1.04 (define @t570 () (+ @t503 @t502)) % 0.84/1.04 (define @t571 () (@var "A__questionmark_v0" |tptp.'Nat_nat_fun$'|)) % 0.84/1.04 (define @t572 () (|tptp.'of_nat$'| (|tptp.'fun_app$a'| @t571 @t180))) % 0.84/1.04 (define @t573 () (@list @t309 @t563)) % 0.84/1.04 (define @t574 () (forall @t573 (=> (< @t548 @t564) (< (|tptp.'of_nat$'| (|tptp.'fun_app$a'| @t571 @t309)) (|tptp.'of_nat$'| (|tptp.'fun_app$a'| @t571 @t563)))))) % 0.84/1.04 (define @t575 () (@list @t571 @t180 @t143)) % 0.84/1.04 (define @t576 () (and @t566 @t543)) % 0.84/1.04 (define @t577 () (or @t541 @t542)) % 0.84/1.04 (define @t578 () (+ @t503 @t548)) % 0.84/1.04 (define @t579 () (< @t502 @t548)) % 0.84/1.04 (define @t580 () (+ @t502 @t503)) % 0.84/1.04 (define @t581 () (<= @t506 @t502)) % 0.84/1.04 (define @t582 () (exists @t555 (= @t503 @t505))) % 0.84/1.04 (define @t583 () (|tptp.'matrix_to_iarray$'| @t142)) % 0.84/1.04 (define @t584 () (|tptp.'gauss_Jordan_column_k_det_P_iarrays$'| (|tptp.'pair$c'| @t341 (|tptp.'pair$d'| @t5 @t583)) @t143)) % 0.84/1.04 (define @t585 () (|tptp.'gauss_Jordan_column_k_det_P$c'| (|tptp.'pair$'| @t341 @t147) @t143)) % 0.84/1.04 (define @t586 () (|tptp.'of_nat$'| (|tptp.'nrows$'| @t142))) % 0.84/1.04 (define @t587 () (and (<= @t499 @t586) (< @t502 (|tptp.'of_nat$'| (|tptp.'ncols$'| @t142))))) % 0.84/1.04 (define @t588 () (@list @t5 @t142 @t143 @t341)) % 0.84/1.04 (define @t589 () (@var "A__questionmark_v1" |tptp.'C$'|)) % 0.84/1.04 (define @t590 () (@list @t42 @t589)) % 0.84/1.04 (define @t591 () (@var "A__questionmark_v1" |tptp.'Int_int_prod$'|)) % 0.84/1.04 (define @t592 () (@var "A__questionmark_v0" |tptp.'Int_int_prod$'|)) % 0.84/1.04 (define @t593 () (|tptp.'snd$p'| @t592)) % 0.84/1.04 (define @t594 () (@var "A__questionmark_v0" |tptp.'B$'|)) % 0.84/1.04 (define @t595 () (@list @t594)) % 0.84/1.04 (define @t596 () (@var "A__questionmark_v1" |tptp.'A_b_vec$'|)) % 0.84/1.04 (define @t597 () (|tptp.'vec_nth$'| @t596)) % 0.84/1.04 (define @t598 () (|tptp.'fun_app$c'| @t597 @t478)) % 0.84/1.04 (define @t599 () (@var "A__questionmark_v0" |tptp.'A_b_vec$'|)) % 0.84/1.04 (define @t600 () (|tptp.'vec_nth$'| @t599)) % 0.84/1.04 (define @t601 () (|tptp.'fun_app$c'| @t600 @t478)) % 0.84/1.04 (define @t602 () (@list @t599 @t596 @t478)) % 0.84/1.04 (define @t603 () (|tptp.'vec_nth$a'| @t142)) % 0.84/1.04 (define @t604 () (|tptp.'fun_app$d'| @t603 @t466)) % 0.84/1.04 (define @t605 () (@var "A__questionmark_v0" |tptp.'A_b_vec_c_vec$'|)) % 0.84/1.04 (define @t606 () (|tptp.'vec_nth$a'| @t605)) % 0.84/1.04 (define @t607 () (|tptp.'fun_app$d'| @t606 @t466)) % 0.84/1.04 (define @t608 () (|tptp.'plus$h'| @t605 @t142)) % 0.84/1.04 (define @t609 () (@list @t605 @t142 @t466)) % 0.84/1.04 (define @t610 () (@var "A__questionmark_v3" |tptp.'B$'|)) % 0.84/1.04 (define @t611 () (@var "A__questionmark_v2" |tptp.'A_b_vec$'|)) % 0.84/1.04 (define @t612 () (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| @t611) @t610)) % 0.84/1.04 (define @t613 () (@var "A__questionmark_v0" tptp.tlbool)) % 0.84/1.04 (define @t614 () (= @t613 tptp.tltrue)) % 0.84/1.04 (define @t615 () (not @t614)) % 0.84/1.04 (define @t616 () (|tptp.'fun_app$c'| @t597 @t610)) % 0.84/1.04 (define @t617 () (@var "A__questionmark_v3" |tptp.'C$'|)) % 0.84/1.04 (define @t618 () (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| @t255) @t617)) % 0.84/1.04 (define @t619 () (|tptp.'fun_app$d'| @t603 @t617)) % 0.84/1.04 (define @t620 () (= @t599 @t596)) % 0.84/1.04 (define @t621 () (@list @t599 @t596)) % 0.84/1.04 (define @t622 () (= @t605 @t142)) % 0.84/1.04 (define @t623 () (@list @t605 @t142)) % 0.84/1.04 (define @t624 () (@var "A__questionmark_v0" |tptp.'A_a_fun$'|)) % 0.84/1.04 (define @t625 () (@var "A__questionmark_v0" |tptp.'B_a_bool_fun_fun$'|)) % 0.84/1.04 (define @t626 () (@var "A__questionmark_v1" |tptp.'B$'|)) % 0.84/1.04 (define @t627 () (@var "A__questionmark_v0" |tptp.'C_a_b_vec_bool_fun_fun$'|)) % 0.84/1.04 (define @t628 () (|tptp.'matrix_to_iarray$'| @t605)) % 0.84/1.04 (define @t629 () (@var "A__questionmark_v0" |tptp.'A_b_vec_b_vec$'|)) % 0.84/1.04 (define @t630 () (@var "A__questionmark_v0" |tptp.'A_b_vec_c_vec_c_vec$'|)) % 0.84/1.04 (define @t631 () (@var "A__questionmark_v4" |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (define @t632 () (|tptp.'snd$q'| (|tptp.'gauss_Jordan_column_k_PA$'| (|tptp.'pair$q'| @t631 @t256) @t309))) % 0.84/1.04 (define @t633 () (|tptp.'snd$a'| (|tptp.'gauss_Jordan_column_k_det_P$c'| (|tptp.'pair$'| @t7 @t256) @t309))) % 0.84/1.04 (define @t634 () (@list @t7 @t180 @t255 @t309 @t631)) % 0.84/1.04 (define @t635 () (@var "A__questionmark_v0" |tptp.'A_c_vec_c_vec_nat_a_c_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (define @t636 () (|tptp.'snd$r'| @t635)) % 0.84/1.04 (define @t637 () (|tptp.'fst$g'| @t636)) % 0.84/1.04 (define @t638 () (|tptp.'from_nat$'| @t637)) % 0.84/1.04 (define @t639 () (|tptp.'snd$h'| @t636)) % 0.84/1.04 (define @t640 () (|tptp.'fst$q'| @t635)) % 0.84/1.04 (define @t641 () (|tptp.'gauss_Jordan_in_ij_PA$'| (|tptp.'pair$s'| @t640 @t639) @t638 @t456)) % 0.84/1.04 (define @t642 () (|tptp.'of_nat$'| @t637)) % 0.84/1.04 (define @t643 () (|tptp.'gauss_Jordan_column_k_PA$a'| @t635 @t180)) % 0.84/1.04 (define @t644 () (or (forall @t467 (=> (|tptp.'less_eq$'| @t638 @t466) (= (|tptp.'vec_nth$b'| (|tptp.'vec_nth$c'| @t639 @t466) @t456) |tptp.'zero$a'|))) (= @t642 (|tptp.'of_nat$'| (|tptp.'nrows$a'| @t639))))) % 0.84/1.04 (define @t645 () (@var "A__questionmark_v0" |tptp.'A_b_vec_b_vec_nat_a_c_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (define @t646 () (|tptp.'snd$t'| @t645)) % 0.84/1.04 (define @t647 () (|tptp.'fst$j'| @t646)) % 0.84/1.04 (define @t648 () (|tptp.'from_nat$a'| @t647)) % 0.84/1.04 (define @t649 () (|tptp.'snd$k'| @t646)) % 0.84/1.04 (define @t650 () (|tptp.'fst$s'| @t645)) % 0.84/1.04 (define @t651 () (|tptp.'gauss_Jordan_in_ij_PA$a'| (|tptp.'pair$u'| @t650 @t649) @t648 @t456)) % 0.84/1.04 (define @t652 () (|tptp.'of_nat$'| @t647)) % 0.84/1.04 (define @t653 () (|tptp.'gauss_Jordan_column_k_PA$b'| @t645 @t180)) % 0.84/1.04 (define @t654 () (or (forall @t479 (=> (|tptp.'less_eq$b'| @t648 @t478) (= (|tptp.'vec_nth$b'| (|tptp.'vec_nth$d'| @t649 @t478) @t456) |tptp.'zero$a'|))) (= @t652 (|tptp.'of_nat$'| (|tptp.'nrows$b'| @t649))))) % 0.84/1.04 (define @t655 () (@var "A__questionmark_v0" |tptp.'A_b_vec_b_vec_nat_a_b_vec_b_vec_prod_prod$'|)) % 0.84/1.04 (define @t656 () (|tptp.'snd$v'| @t655)) % 0.84/1.04 (define @t657 () (|tptp.'fst$m'| @t656)) % 0.84/1.04 (define @t658 () (|tptp.'from_nat$a'| @t657)) % 0.84/1.04 (define @t659 () (|tptp.'snd$n'| @t656)) % 0.84/1.04 (define @t660 () (|tptp.'fst$u'| @t655)) % 0.84/1.04 (define @t661 () (|tptp.'gauss_Jordan_in_ij_PA$b'| (|tptp.'pair$w'| @t660 @t659) @t658 @t481)) % 0.84/1.04 (define @t662 () (|tptp.'of_nat$'| @t657)) % 0.84/1.04 (define @t663 () (|tptp.'gauss_Jordan_column_k_PA$c'| @t655 @t180)) % 0.84/1.04 (define @t664 () (or (forall @t479 (=> (|tptp.'less_eq$b'| @t658 @t478) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$e'| @t659 @t478)) @t481) |tptp.'zero$a'|))) (= @t662 (|tptp.'of_nat$'| (|tptp.'nrows$c'| @t659))))) % 0.84/1.04 (define @t665 () (@var "A__questionmark_v0" |tptp.'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (define @t666 () (|tptp.'snd$q'| @t665)) % 0.84/1.04 (define @t667 () (|tptp.'fst$b'| @t666)) % 0.84/1.04 (define @t668 () (|tptp.'from_nat$'| @t667)) % 0.84/1.04 (define @t669 () (|tptp.'snd$'| @t666)) % 0.84/1.04 (define @t670 () (|tptp.'fst$w'| @t665)) % 0.84/1.04 (define @t671 () (|tptp.'gauss_Jordan_in_ij_PA$c'| (|tptp.'pair$x'| @t670 @t669) @t668 @t481)) % 0.84/1.04 (define @t672 () (|tptp.'of_nat$'| @t667)) % 0.84/1.04 (define @t673 () (|tptp.'gauss_Jordan_column_k_PA$'| @t665 @t180)) % 0.84/1.04 (define @t674 () (or (forall @t467 (=> (|tptp.'less_eq$'| @t668 @t466) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| @t669) @t466)) @t481) |tptp.'zero$a'|))) (= @t672 (|tptp.'of_nat$'| (|tptp.'nrows$'| @t669))))) % 0.84/1.04 (define @t675 () (@var "A__questionmark_v3" |tptp.'A_c_vec_c_vec$'|)) % 0.84/1.04 (define @t676 () (@var "A__questionmark_v0" |tptp.'Nat_a_b_vec_c_vec_bool_fun_fun$'|)) % 0.84/1.04 (define @t677 () (@var "A__questionmark_v3" |tptp.'Nat_a_iarray_prod$'|)) % 0.84/1.04 (define @t678 () (@var "A__questionmark_v0" |tptp.'Nat_a_iarray_bool_fun_fun$'|)) % 0.84/1.04 (define @t679 () (@var "A__questionmark_v0" |tptp.'Nat_a_iarray_iarray_bool_fun_fun$'|)) % 0.84/1.04 (define @t680 () (@var "A__questionmark_v3" |tptp.'A_a_b_vec_c_vec_prod$'|)) % 0.84/1.04 (define @t681 () (@var "A__questionmark_v0" |tptp.'A_a_b_vec_c_vec_bool_fun_fun$'|)) % 0.84/1.04 (define @t682 () (@var "A__questionmark_v3" |tptp.'A_nat_a_b_vec_c_vec_prod_prod$'|)) % 0.84/1.04 (define @t683 () (@var "A__questionmark_v0" |tptp.'A_nat_a_b_vec_c_vec_prod_bool_fun_fun$'|)) % 0.84/1.04 (define @t684 () (@var "A__questionmark_v3" |tptp.'A_nat_a_iarray_iarray_prod_prod$'|)) % 0.84/1.04 (define @t685 () (@var "A__questionmark_v0" |tptp.'A_nat_a_iarray_iarray_prod_bool_fun_fun$'|)) % 0.84/1.04 (define @t686 () (@var "A__questionmark_v3" |tptp.'A_a_iarray_iarray_prod$'|)) % 0.84/1.04 (define @t687 () (@var "A__questionmark_v0" |tptp.'A_a_iarray_iarray_bool_fun_fun$'|)) % 0.84/1.04 (define @t688 () (|tptp.'fun_app$b'| @t203 @t96)) % 0.84/1.04 (define @t689 () (|tptp.'fun_app$b'| @t212 @t96)) % 0.84/1.04 (define @t690 () (|tptp.'times$a'| 0 @t102)) % 0.84/1.04 (define @t691 () (|tptp.'times$a'| 1 @t102)) % 0.84/1.04 (define @t692 () (|tptp.'fun_app$a'| @t204 @t180)) % 0.84/1.04 (define @t693 () (|tptp.'fun_app$a'| @t213 @t180)) % 0.84/1.04 (define @t694 () (|tptp.'to_nat$a'| @t626)) % 0.84/1.04 (define @t695 () (|tptp.'to_nat$'| @t466)) % 0.84/1.04 (define @t696 () (|tptp.'gauss_Jordan_in_ij_det_P_iarrays$'| @t628 @t695 @t694)) % 0.84/1.04 (define @t697 () (|tptp.'gauss_Jordan_in_ij_det_P$'| @t605 @t466 @t626)) % 0.84/1.04 (define @t698 () (exists (@list @t617) (and (not (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'fun_app$d'| @t606 @t617)) @t626) |tptp.'zero$a'|)) (|tptp.'less_eq$'| @t466 @t617)))) % 0.84/1.04 (define @t699 () (@list @t605 @t626 @t466)) % 0.84/1.04 (define @t700 () (|tptp.'to_nat$'| @t42)) % 0.84/1.04 (define @t701 () (|tptp.'to_nat$a'| @t594)) % 0.84/1.04 (define @t702 () (|tptp.'of_nat$'| (|tptp.'to_nat$'| @t589))) % 0.84/1.04 (define @t703 () (|tptp.'of_nat$'| @t700)) % 0.84/1.04 (define @t704 () (@list @t42 @t180)) % 0.84/1.04 (define @t705 () (|tptp.'of_nat$'| @t701)) % 0.84/1.04 (define @t706 () (@list @t594 @t180)) % 0.84/1.04 (define @t707 () (@var "A__questionmark_v5" |tptp.'C$'|)) % 0.84/1.04 (define @t708 () (|tptp.'vec_nth$c'| @t675 @t466)) % 0.84/1.04 (define @t709 () (@var "A__questionmark_v4" |tptp.'B$'|)) % 0.84/1.04 (define @t710 () (|tptp.'pair$x'| @t675 @t142)) % 0.84/1.04 (define @t711 () (|tptp.'of_nat$'| @t695)) % 0.84/1.04 (define @t712 () (< @t499 @t586)) % 0.84/1.04 (define @t713 () (@var "A__questionmark_v6" |tptp.'C$'|)) % 0.84/1.04 (define @t714 () (@var "A__questionmark_v5" |tptp.'B$'|)) % 0.84/1.04 (define @t715 () (@var "A__questionmark_v4" |tptp.'C$'|)) % 0.84/1.04 (define @t716 () (@var "A__questionmark_v3" |tptp.'Int_set$'|)) % 0.84/1.04 (define @t717 () (@var "A__questionmark_v1" |tptp.'Int_set$'|)) % 0.84/1.04 (define @t718 () (and (|tptp.'member$'| @t1 @t717) (|tptp.'member$'| @t124 @t716))) % 0.84/1.04 (define @t719 () (@list @t1 @t717 @t124 @t716)) % 0.84/1.04 (define @t720 () (@var "A__questionmark_v3" |tptp.'A_set$'|)) % 0.84/1.04 (define @t721 () (@var "A__questionmark_v1" |tptp.'A_set$'|)) % 0.84/1.04 (define @t722 () (@var "A__questionmark_v3" |tptp.'Nat_set$'|)) % 0.84/1.04 (define @t723 () (@var "A__questionmark_v1" |tptp.'Nat_set$'|)) % 0.84/1.04 (define @t724 () (@var "A__questionmark_v0" |tptp.'A_set$'|)) % 0.84/1.04 (define @t725 () (@var "A__questionmark_v0" |tptp.'Int_set$'|)) % 0.84/1.04 (define @t726 () (@var "A__questionmark_v2" |tptp.'A_set$'|)) % 0.84/1.04 (define @t727 () (@var "A__questionmark_v4" |tptp.'A$'|)) % 0.84/1.04 (define @t728 () (@var "A__questionmark_v2" |tptp.'Int_set$'|)) % 0.84/1.04 (define @t729 () (|tptp.'member$'| @t412 @t728)) % 0.84/1.04 (define @t730 () (|tptp.'member$'| @t222 @t717)) % 0.84/1.04 (define @t731 () (@list @t222 @t412)) % 0.84/1.04 (define @t732 () (@list @t1 @t717 @t728)) % 0.84/1.04 (define @t733 () (@var "A__questionmark_v2" |tptp.'Nat_set$'|)) % 0.84/1.04 (define @t734 () (|tptp.'of_nat$'| (|tptp.'nat$'| @t1))) % 0.84/1.04 (define @t735 () (@var "B" tptp.tlbool)) % 0.84/1.04 (define @t736 () (* 1 (- @t12 @t40))) % 0.84/1.04 (define @t737 () (+ @t12 (* -1 @t40))) % 0.84/1.04 (define @t738 () (* 1 (- @t737 0))) % 0.84/1.04 (define @t739 () (>= @t737 0)) % 0.84/1.04 (define @t740 () (>= @t12 @t40)) % 0.84/1.04 (define @t741 () (+ @t40 1)) % 0.84/1.04 (define @t742 () (>= @t12 @t741)) % 0.84/1.04 (define @t743 () (= @t36 @t52)) % 0.84/1.04 (define @t744 () (=> @t32 @t743)) % 0.84/1.04 (define @t745 () (@list false)) % 0.84/1.04 (define @t746 () (not @t44)) % 0.84/1.04 (define @t747 () (or (forall @t46 (or @t746 (= @t43 @t527))) @t41)) % 0.84/1.04 (define @t748 () (+ 1 @t12)) % 0.84/1.04 (define @t749 () (|tptp.'nat$'| @t748)) % 0.84/1.04 (define @t750 () (|tptp.'matrix_to_iarray$'| (|tptp.'snd$'| (|tptp.'snd$a'| (|tptp.'pair$'| @t25 (|tptp.'pair$a'| @t749 @t23)))))) % 0.84/1.04 (define @t751 () (|tptp.'snd$c'| (|tptp.'snd$d'| (|tptp.'pair$c'| @t16 (|tptp.'pair$d'| @t749 @t11))))) % 0.84/1.04 (define @t752 () (and (=> @t32 (= @t36 @t750)) (=> @t33 (= @t751 @t750)))) % 0.84/1.04 (define @t753 () (not @t747)) % 0.84/1.04 (define @t754 () (=> @t753 @t752)) % 0.84/1.04 (define @t755 () (or @t746 (= @t527 @t43))) % 0.84/1.04 (define @t756 () (forall @t46 @t755)) % 0.84/1.04 (define @t757 () (or @t756 @t41)) % 0.84/1.04 (define @t758 () (not @t757)) % 0.84/1.04 (define @t759 () (=> @t758 @t752)) % 0.84/1.04 (define @t760 () (=> @t33 (= @t52 @t751))) % 0.84/1.04 (define @t761 () (and @t744 @t760)) % 0.84/1.04 (define @t762 () (=> @t757 @t761)) % 0.84/1.04 (define @t763 () (and @t762 @t759)) % 0.84/1.04 (define @t764 () (= |tptp.'zero$a'| @t43)) % 0.84/1.04 (define @t765 () (or @t746 @t764)) % 0.84/1.04 (define @t766 () (forall @t46 @t765)) % 0.84/1.04 (define @t767 () (or @t766 @t41)) % 0.84/1.04 (define @t768 () (not @t767)) % 0.84/1.04 (define @t769 () (=> @t768 @t752)) % 0.84/1.04 (define @t770 () (=> @t767 @t761)) % 0.84/1.04 (define @t771 () (and @t770 @t769)) % 0.84/1.04 (define @t772 () (=> @t747 @t761)) % 0.84/1.04 (define @t773 () (@list true)) % 0.84/1.04 (assume @p1 (forall @t3 (= (|tptp.'fun_app$'| |tptp.'uub$'| @t1) @t2))) % 0.84/1.04 (assume @p2 (forall @t3 (= (|tptp.'fun_app$'| |tptp.'uuf$'| @t1) @t4))) % 0.84/1.04 (assume @p3 (forall @t6 (= (|tptp.'fun_app$a'| |tptp.'uug$'| @t5) @t5))) % 0.84/1.04 (assume @p4 (forall @t3 (= (|tptp.'fun_app$'| |tptp.'uue$'| @t1) @t1))) % 0.84/1.04 (assume @p5 (forall @t8 (= (|tptp.'fun_app$b'| |tptp.'uud$'| @t7) @t7))) % 0.84/1.04 (assume @p6 (forall @t6 (= (|tptp.'fun_app$a'| |tptp.'uuc$'| @t5) |tptp.'zero$'|))) % 0.84/1.04 (assume @p7 (forall @t3 (= (|tptp.'fun_app$'| |tptp.'uua$'| @t1) 0))) % 0.84/1.04 (assume @p8 (forall @t8 (= (|tptp.'fun_app$b'| |tptp.'uu$'| @t7) |tptp.'zero$a'|))) % 0.84/1.04 (assume @p9 @t59) % 0.84/1.04 (assume @p10 (<= @t12 @t40)) % 0.84/1.04 (assume @p11 @t60) % 0.84/1.04 (assume @p12 (< (|tptp.'of_nat$'| |tptp.'k$'|) (|tptp.'of_nat$'| (|tptp.'ncols$'| |tptp.'a$'|)))) % 0.84/1.04 (assume @p13 (forall @t65 (= @t64 @t61))) % 0.84/1.04 (assume @p14 (forall @t70 (= @t69 @t66))) % 0.84/1.04 (assume @p15 (forall @t75 (= @t74 @t71))) % 0.84/1.04 (assume @p16 (forall @t80 (= @t79 @t76))) % 0.84/1.04 (assume @p17 (forall @t85 (= @t84 @t81))) % 0.84/1.04 (assume @p18 (forall @t90 (= @t89 @t86))) % 0.84/1.04 (assume @p19 (forall @t95 (= @t94 @t91))) % 0.84/1.04 (assume @p20 (forall @t101 (= (= @t7 @t100) @t98))) % 0.84/1.04 (assume @p21 (forall @t107 (= (= @t1 @t106) @t105))) % 0.84/1.04 (assume @p22 (forall @t101 (= (= @t100 @t7) @t98))) % 0.84/1.04 (assume @p23 (forall @t107 (= (= @t106 @t1) @t105))) % 0.84/1.04 (assume @p24 (forall @t101 (= (= @t7 @t109) @t98))) % 0.84/1.04 (assume @p25 (forall @t107 (= (= @t1 @t110) @t105))) % 0.84/1.04 (assume @p26 (forall @t101 (= (= @t100 @t96) (or @t111 (= @t7 |tptp.'one$'|))))) % 0.84/1.04 (assume @p27 (forall @t107 (= (= @t106 @t102) (or @t113 @t112)))) % 0.84/1.04 (assume @p28 (forall @t107 (= (= @t116 0) @t114))) % 0.84/1.04 (assume @p29 (forall @t107 (= (<= @t118 @t1) @t117))) % 0.84/1.04 (assume @p30 (forall @t107 (= (<= @t118 @t102) @t119))) % 0.84/1.04 (assume @p31 (forall @t107 (= (<= @t1 @t118) @t120))) % 0.84/1.04 (assume @p32 (forall @t107 (= (<= @t1 @t121) @t120))) % 0.84/1.04 (assume @p33 (forall @t3 (= (<= @t122 0) @t119))) % 0.84/1.04 (assume @p34 (forall @t3 (= (<= 0 @t122) @t123))) % 0.84/1.04 (assume @p35 (forall @t128 (= @t127 @t125))) % 0.84/1.04 (assume @p36 (forall @t128 (= @t131 @t129))) % 0.84/1.04 (assume @p37 (forall @t140 (= @t139 @t136))) % 0.84/1.04 (assume @p38 (forall @t149 (= @t148 @t145))) % 0.84/1.04 (assume @p39 (forall @t156 (= @t155 @t152))) % 0.84/1.04 (assume @p40 (forall @t163 (= @t162 @t159))) % 0.84/1.04 (assume @p41 (forall @t170 (= @t169 @t166))) % 0.84/1.04 (assume @p42 (forall @t128 (= @t172 @t171))) % 0.84/1.04 (assume @p43 (forall @t128 (= @t174 @t173))) % 0.84/1.04 (assume @p44 (forall @t178 (= @t177 (or @t111 @t135)))) % 0.84/1.04 (assume @p45 (forall @t128 (= (= @t106 @t179) (or @t113 @t125)))) % 0.84/1.04 (assume @p46 (forall @t186 (= (= @t185 @t183) (or @t181 @t144)))) % 0.84/1.04 (assume @p47 (forall @t178 (= @t189 (or @t97 @t187)))) % 0.84/1.04 (assume @p48 (forall @t128 (= @t191 (or @t104 @t129)))) % 0.84/1.04 (assume @p49 (forall @t186 (= @t195 (or @t193 @t192)))) % 0.84/1.04 (assume @p50 (forall @t101 (= @t197 @t196))) % 0.84/1.04 (assume @p51 (forall @t107 (= @t199 @t198))) % 0.84/1.04 (assume @p52 (forall @t202 (= @t201 @t200))) % 0.84/1.04 (assume @p53 (forall @t8 (= (|tptp.'fun_app$b'| @t99 |tptp.'zero$a'|) |tptp.'zero$a'|))) % 0.84/1.04 (assume @p54 (forall @t3 (= (* @t1 0) 0))) % 0.84/1.04 (assume @p55 (forall @t6 (= (|tptp.'fun_app$a'| @t184 |tptp.'zero$'|) |tptp.'zero$'|))) % 0.84/1.04 (assume @p56 (forall @t8 (= (|tptp.'fun_app$b'| @t203 @t7) |tptp.'zero$a'|))) % 0.84/1.04 (assume @p57 (forall @t3 (= @t2 0))) % 0.84/1.04 (assume @p58 (forall @t6 (= (|tptp.'fun_app$a'| @t204 @t5) |tptp.'zero$'|))) % 0.84/1.04 (assume @p59 (forall @t8 (= (|tptp.'fun_app$b'| (|tptp.'plus$'| |tptp.'zero$a'|) @t7) @t7))) % 0.84/1.04 (assume @p60 (forall @t3 (= (+ 0 @t1) @t1))) % 0.84/1.04 (assume @p61 (forall @t101 (= (= @t7 @t206) @t111))) % 0.84/1.04 (assume @p62 (forall @t107 (= (= @t1 @t118) @t113))) % 0.84/1.04 (assume @p63 (forall @t101 (= (= @t7 (|tptp.'fun_app$b'| @t207 @t7)) @t111))) % 0.84/1.04 (assume @p64 (forall @t107 (= (= @t1 @t121) @t113))) % 0.84/1.04 (assume @p65 (forall @t101 (= (= @t206 @t7) @t111))) % 0.84/1.04 (assume @p66 (forall @t107 (= (= @t118 @t1) @t113))) % 0.84/1.04 (assume @p67 (forall @t101 (= (= @t206 @t96) @t97))) % 0.84/1.04 (assume @p68 (forall @t107 (= (= @t118 @t102) @t104))) % 0.84/1.04 (assume @p69 (forall @t3 (= (= 0 @t122) @t104))) % 0.84/1.04 (assume @p70 (forall @t8 (= (|tptp.'fun_app$b'| @t205 |tptp.'zero$a'|) @t7))) % 0.84/1.04 (assume @p71 (forall @t3 (= (+ @t1 0) @t1))) % 0.84/1.04 (assume @p72 (forall @t128 (= @t209 @t208))) % 0.84/1.04 (assume @p73 (forall @t128 (= @t211 @t210))) % 0.84/1.04 (assume @p74 (forall @t8 (= (|tptp.'fun_app$b'| @t212 @t7) @t7))) % 0.84/1.04 (assume @p75 (forall @t3 (= @t4 @t1))) % 0.84/1.04 (assume @p76 (forall @t6 (= (|tptp.'fun_app$a'| @t213 @t5) @t5))) % 0.84/1.04 (assume @p77 (forall @t8 (= (|tptp.'fun_app$b'| @t99 |tptp.'one$'|) @t7))) % 0.84/1.04 (assume @p78 (forall @t3 (= (* @t1 1) @t1))) % 0.84/1.04 (assume @p79 (forall @t6 (= (|tptp.'fun_app$a'| @t184 |tptp.'one$a'|) @t5))) % 0.84/1.04 (assume @p80 (forall @t3 (= (< 0 @t122) @t214))) % 0.84/1.04 (assume @p81 (forall @t3 (= (< @t122 0) @t215))) % 0.84/1.04 (assume @p82 (forall @t107 (= (< @t1 @t121) @t216))) % 0.84/1.04 (assume @p83 (forall @t107 (= (< @t1 @t118) @t216))) % 0.84/1.04 (assume @p84 (forall @t107 (= (< @t118 @t102) @t215))) % 0.84/1.04 (assume @p85 (forall @t107 (= (< @t118 @t1) @t217))) % 0.84/1.04 (assume @p86 (forall @t107 (=> (and (not @t219) (=> @t218 false) (=> (< @t102 @t1) false)) false))) % 0.84/1.04 (assume @p87 (forall @t128 (=> @t209 @t208))) % 0.84/1.04 (assume @p88 (forall @t128 (=> @t211 @t210))) % 0.84/1.04 (assume @p89 (forall @t128 (=> @t218 (< @t130 @t220)))) % 0.84/1.04 (assume @p90 (forall @t128 (=> @t218 (< @t221 @t126)))) % 0.84/1.04 (assume @p91 (forall @t226 (=> (and @t218 @t225) @t224))) % 0.84/1.04 (assume @p92 (forall @t226 (=> (and @t218 @t227) @t224))) % 0.84/1.04 (assume @p93 (forall @t226 (=> (and @t219 @t225) @t224))) % 0.84/1.04 (assume @p94 (forall @t8 (= (= |tptp.'zero$a'| @t7) @t97))) % 0.84/1.04 (assume @p95 (forall @t3 (= (= 0 @t1) @t104))) % 0.84/1.04 (assume @p96 (forall @t178 (= @t229 (|tptp.'fun_app$b'| @t108 @t188)))) % 0.84/1.04 (assume @p97 (forall @t128 (= @t231 (|tptp.'times$a'| @t102 @t190)))) % 0.84/1.04 (assume @p98 (forall @t186 (= @t234 (|tptp.'fun_app$a'| @t232 @t194)))) % 0.84/1.04 (assume @p99 (forall @t101 (= @t100 @t109))) % 0.84/1.04 (assume @p100 (forall @t107 (= @t106 @t110))) % 0.84/1.04 (assume @p101 (forall @t202 (= @t185 @t235))) % 0.84/1.04 (assume @p102 (forall @t178 (= @t236 @t229))) % 0.84/1.04 (assume @p103 (forall @t128 (= (|tptp.'times$a'| @t106 @t124) @t231))) % 0.84/1.04 (assume @p104 (forall @t186 (= (|tptp.'fun_app$a'| (|tptp.'times$b'| @t185) @t143) @t234))) % 0.84/1.04 (assume @p105 (forall @t128 (=> @t127 @t125))) % 0.84/1.04 (assume @p106 (forall @t128 (=> @t131 @t129))) % 0.84/1.04 (assume @p107 (forall @t128 (= @t237 (+ @t102 @t130)))) % 0.84/1.04 (assume @p108 (forall @t107 (= @t118 @t121))) % 0.84/1.04 (assume @p109 (forall @t128 (= (+ @t118 @t124) @t237))) % 0.84/1.04 (assume @p110 (forall @t226 (=> @t238 (= (+ @t222 @t1) (+ @t102 (+ @t222 @t124)))))) % 0.84/1.04 (assume @p111 (forall @t226 (=> @t238 (= (+ @t1 @t222) (+ @t102 (+ @t124 @t222)))))) % 0.84/1.04 (assume @p112 (forall @t226 (=> (and @t219 @t227) (= @t130 @t223)))) % 0.84/1.04 (assume @p113 (forall @t3 (= (= 1 @t1) @t112))) % 0.84/1.04 (assume @p114 (forall @t140 (=> (and @t139 (=> @t136 false)) false))) % 0.84/1.04 (assume @p115 (forall @t149 (=> (and @t148 (=> @t145 false)) false))) % 0.84/1.04 (assume @p116 (forall @t156 (=> (and @t155 (=> @t152 false)) false))) % 0.84/1.04 (assume @p117 (forall @t163 (=> (and @t162 (=> @t159 false)) false))) % 0.84/1.04 (assume @p118 (forall @t170 (=> (and @t169 (=> @t166 false)) false))) % 0.84/1.04 (assume @p119 (forall @t242 (=> (forall (@list @t134 @t132) (|tptp.'fun_app$f'| @t240 @t137)) @t241))) % 0.84/1.04 (assume @p120 (forall (@list @t243 @t133) (=> (forall (@list @t143 @t141) (|tptp.'fun_app$g'| @t243 @t146)) (|tptp.'fun_app$g'| @t243 @t133)))) % 0.84/1.04 (assume @p121 (forall (@list @t245 @t244) (=> (forall (@list @t143 @t150) (|tptp.'fun_app$e'| @t245 @t153)) (|tptp.'fun_app$e'| @t245 @t244)))) % 0.84/1.04 (assume @p122 (forall @t249 (=> (forall (@list @t134 @t157) (|tptp.'fun_app$h'| @t247 @t160)) @t248))) % 0.84/1.04 (assume @p123 (forall (@list @t250 @t158) (=> (forall (@list @t143 @t164) (|tptp.'fun_app$i'| @t250 @t167)) (|tptp.'fun_app$i'| @t250 @t158)))) % 0.84/1.04 (assume @p124 (forall @t85 (exists @t254 @t253))) % 0.84/1.04 (assume @p125 (forall @t65 (exists @t258 @t257))) % 0.84/1.04 (assume @p126 (forall @t70 (exists @t262 @t261))) % 0.84/1.04 (assume @p127 (forall @t90 (exists @t266 @t265))) % 0.84/1.04 (assume @p128 (forall @t75 (exists @t270 @t269))) % 0.84/1.04 (assume @p129 (forall @t85 (=> (forall @t254 (=> @t253 false)) false))) % 0.84/1.04 (assume @p130 (forall @t65 (=> (forall @t258 (=> @t257 false)) false))) % 0.84/1.04 (assume @p131 (forall @t70 (=> (forall @t262 (=> @t261 false)) false))) % 0.84/1.04 (assume @p132 (forall @t90 (=> (forall @t266 (=> @t265 false)) false))) % 0.84/1.04 (assume @p133 (forall @t75 (=> (forall @t270 (=> @t269 false)) false))) % 0.84/1.04 (assume @p134 (forall @t226 (=> (and @t218 @t271) @t224))) % 0.84/1.04 (assume @p135 (forall @t226 (=> (and @t272 @t225) @t224))) % 0.84/1.04 (assume @p136 (forall @t186 (=> @t278 (|tptp.'fun_app$j'| (|tptp.'less$'| @t273) @t183)))) % 0.84/1.04 (assume @p137 (forall @t128 (=> @t281 (< @t279 @t179)))) % 0.84/1.04 (assume @p138 (forall @t128 (= @t283 (or (and @t216 @t208) (and @t217 @t282))))) % 0.84/1.04 (assume @p139 (forall @t186 (=> @t278 (|tptp.'fun_app$j'| @t284 @t233)))) % 0.84/1.04 (assume @p140 (forall @t128 (=> @t281 (< @t190 @t230)))) % 0.84/1.04 (assume @p141 (forall @t128 (=> @t285 (< @t230 @t190)))) % 0.84/1.04 (assume @p142 (forall @t128 (= @t288 (or @t287 (and @t215 @t286))))) % 0.84/1.04 (assume @p143 (forall @t128 (=> @t285 (< @t179 @t279)))) % 0.84/1.04 (assume @p144 (forall @t128 (=> @t214 (= @t288 @t210)))) % 0.84/1.04 (assume @p145 (forall @t128 (=> @t215 (= @t288 @t286)))) % 0.84/1.04 (assume @p146 (forall @t202 (=> (and @t291 @t290) @t289))) % 0.84/1.04 (assume @p147 (forall @t107 (=> (and @t292 @t216) @t214))) % 0.84/1.04 (assume @p148 (forall @t202 (=> (and @t291 @t289) @t290))) % 0.84/1.04 (assume @p149 (forall @t107 (=> (and @t292 @t214) @t216))) % 0.84/1.04 (assume @p150 (forall @t107 (= @t292 (or @t294 @t293)))) % 0.84/1.04 (assume @p151 (forall @t202 (=> @t296 (|tptp.'fun_app$j'| (|tptp.'less$'| @t235) |tptp.'zero$'|)))) % 0.84/1.04 (assume @p152 (forall @t107 (=> @t297 (< @t110 0)))) % 0.84/1.04 (assume @p153 (forall @t202 (=> (and @t289 @t290) @t291))) % 0.84/1.04 (assume @p154 (forall @t107 (=> @t294 @t292))) % 0.84/1.04 (assume @p155 (forall @t202 (=> @t296 @t299))) % 0.84/1.04 (assume @p156 (forall @t107 (=> @t297 @t300))) % 0.84/1.04 (assume @p157 (forall @t202 (=> (and (|tptp.'fun_app$j'| @t276 |tptp.'zero$'|) @t290) @t299))) % 0.84/1.04 (assume @p158 (forall @t107 (=> @t301 @t300))) % 0.84/1.04 (assume @p159 (forall @t107 (= @t300 (or @t297 @t301)))) % 0.84/1.04 (assume @p160 (forall @t3 (not (< @t115 0)))) % 0.84/1.04 (assume @p161 (forall @t107 (=> @t293 @t292))) % 0.84/1.04 (assume @p162 (forall @t128 (=> @t287 @t302))) % 0.84/1.04 (assume @p163 (forall @t107 (=> @t294 @t303))) % 0.84/1.04 (assume @p164 (forall @t107 (=> @t293 @t304))) % 0.84/1.04 (assume @p165 (forall @t107 (=> @t304 (or @t215 @t217)))) % 0.84/1.04 (assume @p166 (not (< 1 0))) % 0.84/1.04 (assume @p167 (< 0 1)) % 0.84/1.04 (assume @p168 (forall @t202 (=> (and (|tptp.'fun_app$j'| @t305 @t5) (|tptp.'fun_app$j'| @t305 @t180)) (|tptp.'fun_app$j'| @t305 @t185)))) % 0.84/1.04 (assume @p169 (forall @t107 (=> (and @t307 @t306) (< 1 @t106)))) % 0.84/1.04 (assume @p170 (forall @t107 (=> @t218 (< @t308 (+ @t102 1))))) % 0.84/1.04 (assume @p171 (forall @t3 (< @t1 @t308))) % 0.84/1.04 (assume @p172 (forall @t315 (=> (and @t277 @t314 @t313 @t275) @t311))) % 0.84/1.04 (assume @p173 (forall @t226 (=> (and @t218 @t271 @t123 @t280) @t317))) % 0.84/1.04 (assume @p174 (forall @t315 (=> (and @t321 @t319 @t289 @t318) @t311))) % 0.84/1.04 (assume @p175 (forall @t226 (=> (and @t272 @t225 @t214 @t322) @t317))) % 0.84/1.04 (assume @p176 (forall @t186 (=> (and (|tptp.'fun_app$j'| @t323 @t183) @t290) (|tptp.'fun_app$j'| @t320 @t143)))) % 0.84/1.04 (assume @p177 (forall @t128 (=> (and @t324 @t216) @t171))) % 0.84/1.04 (assume @p178 (forall @t186 (=> (and (|tptp.'fun_app$j'| @t323 @t194) @t289) (|tptp.'fun_app$j'| @t325 @t143)))) % 0.84/1.04 (assume @p179 (forall @t128 (=> (and @t326 @t214) @t173))) % 0.84/1.04 (assume @p180 (forall @t128 (=> @t214 (= @t326 @t173)))) % 0.84/1.04 (assume @p181 (forall @t128 (=> @t215 (= @t326 @t327)))) % 0.84/1.04 (assume @p182 (forall @t128 (= @t283 (and (=> @t120 @t208) (=> @t117 @t282))))) % 0.84/1.04 (assume @p183 (forall @t315 (=> (and @t277 @t319 @t313 @t318) @t311))) % 0.84/1.04 (assume @p184 (forall @t226 (=> (and @t218 @t225 @t123 @t322) @t317))) % 0.84/1.04 (assume @p185 (forall @t186 (=> (and (|tptp.'fun_app$j'| @t298 @t183) @t328) (|tptp.'fun_app$j'| @t276 @t143)))) % 0.84/1.04 (assume @p186 (forall @t128 (=> (and @t283 @t120) @t208))) % 0.84/1.04 (assume @p187 (forall @t128 (= @t288 (and (=> @t123 @t210) (=> @t119 @t286))))) % 0.84/1.04 (assume @p188 (forall @t315 (=> (and @t277 @t319 @t290 @t318) @t311))) % 0.84/1.04 (assume @p189 (forall @t226 (=> (and @t218 @t225 @t216 @t322) @t317))) % 0.84/1.04 (assume @p190 (forall @t186 (=> (and (|tptp.'fun_app$j'| @t298 @t194) @t313) (|tptp.'fun_app$j'| @t295 @t143)))) % 0.84/1.04 (assume @p191 (forall @t128 (=> (and @t288 @t123) @t210))) % 0.84/1.04 (assume @p192 (forall @t128 (= @t324 (and (=> @t216 @t171) (=> @t217 (<= @t124 @t1)))))) % 0.84/1.04 (assume @p193 (forall @t128 (= @t326 (and (=> @t214 @t173) (=> @t215 @t327))))) % 0.84/1.04 (assume @p194 (forall @t128 (=> (and @t123 @t210) @t302))) % 0.84/1.04 (assume @p195 (forall @t128 (=> (and @t214 @t173) @t302))) % 0.84/1.04 (assume @p196 (forall @t107 (=> (and @t214 @t120) @t303))) % 0.84/1.04 (assume @p197 (forall @t107 (=> (and @t119 @t217) @t304))) % 0.84/1.04 (assume @p198 (forall @t107 (=> (and @t123 @t216) @t303))) % 0.84/1.04 (assume @p199 (forall @t107 (=> (and @t215 @t117) @t304))) % 0.84/1.04 (assume @p200 (forall @t107 (= (< 0 @t116) (or @t330 @t329)))) % 0.84/1.04 (assume @p201 (forall @t107 (not (< @t116 0)))) % 0.84/1.04 (assume @p202 (< 0 (+ 1 1))) % 0.84/1.04 (assume @p203 (forall @t128 (=> @t172 @t171))) % 0.84/1.04 (assume @p204 (forall @t128 (=> @t174 @t173))) % 0.84/1.04 (assume @p205 (forall @t128 (=> @t272 (<= @t130 @t220)))) % 0.84/1.04 (assume @p206 (forall @t128 (=> @t272 (<= @t221 @t126)))) % 0.84/1.04 (assume @p207 (forall @t226 (=> (and @t272 @t271) @t331))) % 0.84/1.04 (assume @p208 (forall @t226 (=> (and @t219 @t271) @t331))) % 0.84/1.04 (assume @p209 (forall @t226 (=> (and @t272 @t227) @t331))) % 0.84/1.04 (assume @p210 (forall @t178 (=> @t333 (= @t332 @t187)))) % 0.84/1.04 (assume @p211 (forall @t128 (=> @t330 (= (= @t110 @t279) @t129)))) % 0.84/1.04 (assume @p212 (forall @t186 (=> @t334 (= (= @t235 @t273) @t192)))) % 0.84/1.04 (assume @p213 (forall @t178 (=> @t333 (= @t189 @t187)))) % 0.84/1.04 (assume @p214 (forall @t128 (=> @t330 (= @t191 @t129)))) % 0.84/1.04 (assume @p215 (forall @t186 (=> @t334 (= @t195 @t192)))) % 0.84/1.04 (assume @p216 (forall @t101 (=> @t336 @t335))) % 0.84/1.04 (assume @p217 (forall @t107 (=> @t338 @t337))) % 0.84/1.04 (assume @p218 (forall @t202 (=> @t340 @t339))) % 0.84/1.04 (assume @p219 (forall @t101 (=> @t197 @t196))) % 0.84/1.04 (assume @p220 (forall @t107 (=> @t199 @t198))) % 0.84/1.04 (assume @p221 (forall @t202 (=> @t201 @t200))) % 0.84/1.04 (assume @p222 (forall @t101 (=> @t335 @t336))) % 0.84/1.04 (assume @p223 (forall @t107 (=> @t337 @t338))) % 0.84/1.04 (assume @p224 (forall @t202 (=> @t339 @t340))) % 0.84/1.04 (assume @p225 (not (= |tptp.'zero$a'| |tptp.'one$'|))) % 0.84/1.04 (assume @p226 (not (= 0 1))) % 0.84/1.04 (assume @p227 (forall (@list @t7 @t96 @t134 @t341) (= (|tptp.'fun_app$b'| @t343 (|tptp.'fun_app$b'| (|tptp.'plus$'| @t176) @t341)) (|tptp.'fun_app$b'| (|tptp.'plus$'| (|tptp.'fun_app$b'| (|tptp.'times$'| @t342) @t96)) @t341)))) % 0.84/1.04 (assume @p228 (forall @t226 (= (+ @t106 (+ @t179 @t222)) (+ (|tptp.'times$a'| @t130 @t102) @t222)))) % 0.84/1.04 (assume @p229 (forall @t315 (= (|tptp.'fun_app$a'| @t346 (|tptp.'fun_app$a'| (|tptp.'plus$a'| @t183) @t309)) (|tptp.'fun_app$a'| (|tptp.'plus$a'| (|tptp.'fun_app$a'| (|tptp.'times$b'| @t345) @t180)) @t309)))) % 0.84/1.04 (assume @p230 (forall @t178 (= (|tptp.'fun_app$b'| (|tptp.'times$'| @t206) @t134) (|tptp.'fun_app$b'| (|tptp.'plus$'| @t188) @t228)))) % 0.84/1.04 (assume @p231 (forall @t128 (= (|tptp.'times$a'| @t118 @t124) (+ @t190 @t230)))) % 0.84/1.04 (assume @p232 (forall @t186 (= (|tptp.'fun_app$a'| (|tptp.'times$b'| (|tptp.'fun_app$a'| @t344 @t180)) @t143) (|tptp.'fun_app$a'| (|tptp.'plus$a'| @t194) @t233)))) % 0.84/1.04 (assume @p233 (forall @t178 (= (|tptp.'fun_app$b'| @t99 (|tptp.'fun_app$b'| @t207 @t134)) (|tptp.'fun_app$b'| @t343 @t188)))) % 0.84/1.04 (assume @p234 (forall @t128 (= (|tptp.'times$a'| @t1 @t220) (+ @t106 @t190)))) % 0.84/1.04 (assume @p235 (forall @t186 (= (|tptp.'fun_app$a'| @t184 (|tptp.'fun_app$a'| (|tptp.'plus$a'| @t180) @t143)) (|tptp.'fun_app$a'| @t346 @t194)))) % 0.84/1.04 (assume @p236 @t349) % 0.84/1.04 (assume @p237 (forall @t351 (= @t350 @t151))) % 0.84/1.04 (assume @p238 @t354) % 0.84/1.04 (assume @p239 (forall @t357 (= @t356 @t142))) % 0.84/1.04 (assume @p240 @t360) % 0.84/1.04 (assume @p241 @t363) % 0.84/1.04 (assume @p242 (forall @t366 (= @t365 @t165))) % 0.84/1.04 (assume @p243 (forall (@list @t5 @t142 @t255) (=> (= @t347 @t255) @t367))) % 0.84/1.04 (assume @p244 (forall (@list @t5 @t151 @t259) (=> (= @t350 @t259) (= @t151 @t259)))) % 0.84/1.04 (assume @p245 (forall (@list @t5 @t165 @t267) (=> (= @t352 @t267) @t368))) % 0.84/1.04 (assume @p246 (forall (@list @t7 @t142 @t255) (=> (= @t356 @t255) @t367))) % 0.84/1.04 (assume @p247 (forall (@list @t7 @t133 @t251) (=> (= @t358 @t251) (= @t133 @t251)))) % 0.84/1.04 (assume @p248 (forall (@list @t7 @t158 @t263) (=> (= @t361 @t263) (= @t158 @t263)))) % 0.84/1.04 (assume @p249 (forall (@list @t7 @t165 @t267) (=> (= @t365 @t267) @t368))) % 0.84/1.04 (assume @p250 (forall @t359 (= @t369 @t7))) % 0.84/1.04 (assume @p251 (forall @t348 (= @t370 @t5))) % 0.84/1.04 (assume @p252 (forall @t351 (= @t371 @t5))) % 0.84/1.04 (assume @p253 (forall @t362 (= @t372 @t7))) % 0.84/1.04 (assume @p254 (forall @t353 (= @t373 @t5))) % 0.84/1.04 (assume @p255 (forall @t357 (= @t374 @t7))) % 0.84/1.04 (assume @p256 (forall @t366 (= @t375 @t7))) % 0.84/1.04 (assume @p257 (forall (@list @t7 @t133 @t134) (=> (= @t369 @t134) @t135))) % 0.84/1.04 (assume @p258 (forall (@list @t5 @t142 @t143) (=> (= @t370 @t143) @t144))) % 0.84/1.04 (assume @p259 (forall (@list @t5 @t151 @t143) (=> (= @t371 @t143) @t144))) % 0.84/1.04 (assume @p260 (forall (@list @t7 @t158 @t134) (=> (= @t372 @t134) @t135))) % 0.84/1.04 (assume @p261 (forall (@list @t5 @t165 @t143) (=> (= @t373 @t143) @t144))) % 0.84/1.04 (assume @p262 (forall (@list @t7 @t142 @t134) (=> (= @t374 @t134) @t135))) % 0.84/1.04 (assume @p263 (forall (@list @t7 @t165 @t134) (=> (= @t375 @t134) @t135))) % 0.84/1.04 (assume @p264 (forall @t107 (= (< @t106 @t102) (and (=> @t120 (< @t1 1)) (=> @t117 @t307))))) % 0.84/1.04 (assume @p265 (forall @t107 (= (< @t1 @t110) @t377))) % 0.84/1.04 (assume @p266 (forall @t107 (= (< @t106 @t1) (and (=> @t123 @t376) (=> @t119 @t306))))) % 0.84/1.04 (assume @p267 (forall @t107 (= (< @t1 @t106) @t377))) % 0.84/1.04 (assume @p268 (forall @t107 (= (<= @t106 @t102) (and (=> @t216 @t378) (=> @t217 (<= 1 @t1)))))) % 0.84/1.04 (assume @p269 (forall @t107 (= (<= @t1 @t110) @t381))) % 0.84/1.04 (assume @p270 (forall @t107 (= @t382 (and (=> @t214 @t379) (=> @t215 @t380))))) % 0.84/1.04 (assume @p271 (forall @t107 (= (<= @t1 @t106) @t381))) % 0.84/1.04 (assume @p272 (forall @t242 (=> (forall (@list @t134 @t309 @t383) (|tptp.'fun_app$f'| @t240 (|tptp.'pair$'| @t134 (|tptp.'pair$a'| @t309 @t383)))) @t241))) % 0.84/1.04 (assume @p273 (forall @t249 (=> (forall (@list @t134 @t309 @t384) (|tptp.'fun_app$h'| @t247 (|tptp.'pair$c'| @t134 (|tptp.'pair$d'| @t309 @t384)))) @t248))) % 0.84/1.04 (assume @p274 (forall @t85 (=> (forall (@list @t96 @t143 @t141) (=> (= @t81 (|tptp.'pair$'| @t96 @t146)) false)) false))) % 0.84/1.04 (assume @p275 (forall @t90 (=> (forall (@list @t96 @t143 @t164) (=> (= @t86 (|tptp.'pair$c'| @t96 @t167)) false)) false))) % 0.84/1.04 (assume @p276 (forall @t389 (= @t388 @t387))) % 0.84/1.04 (assume @p277 (forall @t395 (= @t394 @t393))) % 0.84/1.04 (assume @p278 (forall @t400 (= @t399 @t398))) % 0.84/1.04 (assume @p279 (forall @t405 (= @t404 @t403))) % 0.84/1.04 (assume @p280 (forall @t411 (= @t410 @t409))) % 0.84/1.04 (assume @p281 (forall @t389 (=> @t387 @t388))) % 0.84/1.04 (assume @p282 (forall @t395 (=> @t393 @t394))) % 0.84/1.04 (assume @p283 (forall @t400 (=> @t398 @t399))) % 0.84/1.04 (assume @p284 (forall @t405 (=> @t403 @t404))) % 0.84/1.04 (assume @p285 (forall @t411 (=> @t409 @t410))) % 0.84/1.04 (assume @p286 (= |tptp.'uu$'| @t203)) % 0.84/1.04 (assume @p287 (= |tptp.'uua$'| |tptp.'uub$'|)) % 0.84/1.04 (assume @p288 (= |tptp.'uuc$'| @t204)) % 0.84/1.04 (assume @p289 (= |tptp.'uud$'| @t212)) % 0.84/1.04 (assume @p290 (= |tptp.'uue$'| |tptp.'uuf$'|)) % 0.84/1.04 (assume @p291 (= |tptp.'uug$'| @t213)) % 0.84/1.04 (assume @p292 (forall @t418 (=> (and @t218 @t286 @t417 @t416 @t415) (< @t413 @t102)))) % 0.84/1.04 (assume @p293 (forall @t186 (=> @t419 (|tptp.'fun_app$j'| (|tptp.'less_eq$a'| @t273) @t183)))) % 0.84/1.04 (assume @p294 (forall @t128 (=> @t420 (<= @t279 @t179)))) % 0.84/1.04 (assume @p295 (forall @t107 (= @t424 @t423))) % 0.84/1.04 (assume @p296 (forall @t202 (=> @t426 (|tptp.'fun_app$j'| @t425 |tptp.'zero$'|)))) % 0.84/1.04 (assume @p297 (forall @t107 (=> @t427 (<= @t110 0)))) % 0.84/1.04 (assume @p298 (forall @t202 (=> @t429 @t428))) % 0.84/1.04 (assume @p299 (forall @t107 (=> @t431 @t430))) % 0.84/1.04 (assume @p300 (forall @t202 (=> @t426 @t428))) % 0.84/1.04 (assume @p301 (forall @t107 (=> @t427 @t430))) % 0.84/1.04 (assume @p302 (forall @t202 (=> (and @t313 @t328) (|tptp.'fun_app$j'| @t312 @t185)))) % 0.84/1.04 (assume @p303 (forall @t107 (=> @t422 @t424))) % 0.84/1.04 (assume @p304 (forall @t202 (=> (or @t426 @t429) @t428))) % 0.84/1.04 (assume @p305 (forall @t107 (=> @t432 @t430))) % 0.84/1.04 (assume @p306 (forall @t107 (= @t430 @t432))) % 0.84/1.04 (assume @p307 (forall @t186 (=> @t419 (|tptp.'fun_app$j'| @t433 @t233)))) % 0.84/1.04 (assume @p308 (forall @t128 (=> @t420 (<= @t190 @t230)))) % 0.84/1.04 (assume @p309 (forall @t128 (=> @t434 (<= @t230 @t190)))) % 0.84/1.04 (assume @p310 (forall @t107 (=> @t421 @t424))) % 0.84/1.04 (assume @p311 (forall @t128 (=> @t434 (<= @t179 @t279)))) % 0.84/1.04 (assume @p312 (forall @t107 (=> @t423 @t424))) % 0.84/1.04 (assume @p313 (forall @t3 (<= 0 @t115))) % 0.84/1.04 (assume @p314 (forall @t315 (=> (and @t321 @t314 @t313 @t318) @t435))) % 0.84/1.04 (assume @p315 (forall @t226 (=> (and @t272 @t271 @t123 @t322) @t436))) % 0.84/1.04 (assume @p316 (forall @t315 (=> (and @t321 @t314 @t328 @t318) @t435))) % 0.84/1.04 (assume @p317 (forall @t226 (=> (and @t272 @t271 @t120 @t322) @t436))) % 0.84/1.04 (assume @p318 (forall @t107 (=> @t421 @t437))) % 0.84/1.04 (assume @p319 (forall @t107 (=> @t422 @t437))) % 0.84/1.04 (assume @p320 (forall @t107 (=> @t421 (<= @t118 0)))) % 0.84/1.04 (assume @p321 (forall @t107 (=> @t422 (<= 0 @t118)))) % 0.84/1.04 (assume @p322 (forall @t128 (=> @t438 (<= @t102 @t221)))) % 0.84/1.04 (assume @p323 (forall @t128 (=> @t439 (<= @t121 @t124)))) % 0.84/1.04 (assume @p324 (forall @t128 (=> @t438 (<= @t102 @t130)))) % 0.84/1.04 (assume @p325 (forall @t128 (=> @t439 (<= @t118 @t124)))) % 0.84/1.04 (assume @p326 (not (<= 1 0))) % 0.84/1.04 (assume @p327 (<= 0 1)) % 0.84/1.04 (assume @p328 (forall @t65 @t440)) % 0.84/1.04 (assume @p329 (forall @t70 @t441)) % 0.84/1.04 (assume @p330 (forall @t75 @t442)) % 0.84/1.04 (assume @p331 (forall @t80 @t443)) % 0.84/1.04 (assume @p332 (forall @t85 @t444)) % 0.84/1.04 (assume @p333 (forall @t90 @t445)) % 0.84/1.04 (assume @p334 (forall @t95 @t446)) % 0.84/1.04 (assume @p335 (forall @t65 (=> (=> @t440 false) false))) % 0.84/1.04 (assume @p336 (forall @t70 (=> (=> @t441 false) false))) % 0.84/1.04 (assume @p337 (forall @t75 (=> (=> @t442 false) false))) % 0.84/1.04 (assume @p338 (forall @t80 (=> (=> @t443 false) false))) % 0.84/1.04 (assume @p339 (forall @t85 (=> (=> @t444 false) false))) % 0.84/1.04 (assume @p340 (forall @t90 (=> (=> @t445 false) false))) % 0.84/1.04 (assume @p341 (forall @t95 (=> (=> @t446 false) false))) % 0.84/1.04 (assume @p342 (forall @t107 (= (<= @t116 0) @t114))) % 0.84/1.04 (assume @p343 (forall @t107 (<= 0 @t116))) % 0.84/1.04 (assume @p344 (forall @t202 (=> (and @t447 @t328) (|tptp.'fun_app$j'| @t425 @t180)))) % 0.84/1.04 (assume @p345 (forall @t107 (=> (and @t378 @t120) (<= @t110 @t102)))) % 0.84/1.04 (assume @p346 (forall @t202 (=> (and @t447 @t328 @t448) (|tptp.'fun_app$j'| @t323 |tptp.'one$a'|)))) % 0.84/1.04 (assume @p347 (forall @t107 (=> (and @t378 @t120 @t379) (<= @t106 1)))) % 0.84/1.04 (assume @p348 (forall @t107 (=> @t449 @t382))) % 0.84/1.04 (assume @p349 (forall @t107 (=> @t449 (<= @t110 @t1)))) % 0.84/1.04 (assume @p350 (forall @t418 (=> (and @t272 @t327 @t417 @t416 @t415) (<= @t413 @t102)))) % 0.84/1.04 (assume @p351 (forall (@list @t86 @t180) (and (=> @t455 (= @t454 (|tptp.'pair$c'| @t88 (|tptp.'pair$d'| @t450 @t451)))) (=> (not @t455) (= @t454 (|tptp.'pair$c'| (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$a'| @t452)) @t88) (|tptp.'pair$d'| (|tptp.'nat$'| (+ @t453 1)) (|tptp.'snd$e'| @t452)))))))) % 0.84/1.04 (assume @p352 (forall (@list @t457 @t180) (and (=> @t468 (= @t465 (|tptp.'pair$g'| @t464 (|tptp.'pair$h'| @t459 @t461)))) (=> (not @t468) (= @t465 (|tptp.'pair$g'| (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$i'| @t462)) @t464) (|tptp.'pair$h'| (|tptp.'nat$'| (+ @t463 1)) (|tptp.'snd$i'| @t462)))))))) % 0.84/1.04 (assume @p353 (forall (@list @t469 @t180) (and (=> @t480 (= @t477 (|tptp.'pair$i'| @t476 (|tptp.'pair$j'| @t471 @t473)))) (=> (not @t480) (= @t477 (|tptp.'pair$i'| (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$l'| @t474)) @t476) (|tptp.'pair$j'| (|tptp.'nat$'| (+ @t475 1)) (|tptp.'snd$l'| @t474)))))))) % 0.84/1.04 (assume @p354 (forall (@list @t482 @t180) (and (=> @t491 (= @t490 (|tptp.'pair$k'| @t489 (|tptp.'pair$l'| @t484 @t486)))) (=> (not @t491) (= @t490 (|tptp.'pair$k'| (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$o'| @t487)) @t489) (|tptp.'pair$l'| (|tptp.'nat$'| (+ @t488 1)) (|tptp.'snd$o'| @t487)))))))) % 0.84/1.04 (assume @p355 (forall (@list @t81 @t180) (and (=> @t498 (= @t497 (|tptp.'pair$'| @t83 (|tptp.'pair$a'| @t492 @t494)))) (=> (not @t498) (= @t497 (|tptp.'pair$'| (|tptp.'fun_app$b'| (|tptp.'times$'| (|tptp.'fst$'| @t495)) @t83) (|tptp.'pair$a'| (|tptp.'nat$'| (+ @t496 1)) (|tptp.'snd$b'| @t495)))))))) % 0.84/1.04 (assume @p356 (forall @t6 (= (|tptp.'from_nat$'| @t500) (|tptp.'plus$b'| (|tptp.'from_nat$'| @t5) |tptp.'one$b'|)))) % 0.84/1.04 (assume @p357 (forall @t6 (= (|tptp.'from_nat$a'| @t500) (|tptp.'plus$c'| (|tptp.'from_nat$a'| @t5) |tptp.'one$c'|)))) % 0.84/1.04 (assume @p358 (forall @t6 (= (< @t499 1) @t501))) % 0.84/1.04 (assume @p359 (forall @t186 (= (<= @t506 @t505) @t504))) % 0.84/1.04 (assume @p360 (forall @t202 (= (< 0 @t506) (or @t508 @t507)))) % 0.84/1.04 (assume @p361 (forall @t186 (= (< @t506 @t505) @t509))) % 0.84/1.04 (assume @p362 (forall @t186 (= (<= @t512 @t511) (=> @t507 @t510)))) % 0.84/1.04 (assume @p363 (forall @t186 (= @t514 (=> @t508 @t504)))) % 0.84/1.04 (assume @p364 (forall @t395 (= (|tptp.'fst$'| @t516) @t515))) % 0.84/1.04 (assume @p365 (forall @t411 (= (|tptp.'fst$a'| @t518) @t517))) % 0.84/1.04 (assume @p366 (forall @t389 (= (|tptp.'snd$c'| @t520) @t519))) % 0.84/1.04 (assume @p367 (forall @t395 (= (|tptp.'snd$b'| @t516) @t521))) % 0.84/1.04 (assume @p368 (forall @t400 (= (|tptp.'snd$a'| @t523) @t522))) % 0.84/1.04 (assume @p369 (forall @t405 (= (|tptp.'snd$d'| @t525) @t524))) % 0.84/1.04 (assume @p370 (forall @t411 (= (|tptp.'snd$e'| @t518) @t526))) % 0.84/1.04 (assume @p371 (= (|tptp.'snd$b'| |tptp.'zero$b'|) |tptp.'zero$c'|)) % 0.84/1.04 (assume @p372 (= (|tptp.'snd$a'| |tptp.'zero$d'|) |tptp.'zero$e'|)) % 0.84/1.04 (assume @p373 (= @t527 |tptp.'zero$a'|)) % 0.84/1.04 (assume @p374 (forall @t6 (= @t528 false))) % 0.84/1.04 (assume @p375 (forall @t6 (= @t529 @t508))) % 0.84/1.04 (assume @p376 (forall @t6 @t530)) % 0.84/1.04 (assume @p377 (forall @t202 (= (= @t506 0) (and @t501 @t531)))) % 0.84/1.04 (assume @p378 (forall @t6 (= (+ @t499 0) @t499))) % 0.84/1.04 (assume @p379 (forall @t202 (= (= @t512 0) (or @t501 @t531)))) % 0.84/1.04 (assume @p380 (forall @t6 (= (* @t499 0) 0))) % 0.84/1.04 (assume @p381 (forall @t186 (= @t533 (or @t532 @t501)))) % 0.84/1.04 (assume @p382 (forall @t186 (= (= @t512 @t511) (or (= @t499 @t502) @t531)))) % 0.84/1.04 (assume @p383 (forall @t202 (= (= 1 @t512) @t535))) % 0.84/1.04 (assume @p384 (forall @t202 (= (= @t512 1) @t535))) % 0.84/1.04 (assume @p385 (forall @t186 (= @t536 (and @t508 @t509)))) % 0.84/1.04 (assume @p386 (forall @t202 (= (< 0 @t512) (and @t508 @t507)))) % 0.84/1.04 (assume @p387 (forall @t186 (= (< @t512 @t511) (and @t507 @t537)))) % 0.84/1.04 (assume @p388 (forall @t140 (= (|tptp.'plus$i'| @t138 @t137) (|tptp.'pair$'| @t342 (|tptp.'plus$j'| @t133 @t132))))) % 0.84/1.04 (assume @p389 (forall @t149 (= (|tptp.'plus$j'| @t147 @t146) (|tptp.'pair$a'| @t345 (|tptp.'plus$h'| @t142 @t141))))) % 0.84/1.04 (assume @p390 (forall @t156 (= (|tptp.'plus$l'| @t154 @t153) (|tptp.'pair$b'| @t345 (|tptp.'plus$m'| @t151 @t150))))) % 0.84/1.04 (assume @p391 (forall @t163 (= (|tptp.'plus$k'| @t161 @t160) (|tptp.'pair$c'| @t342 (|tptp.'plus$f'| @t158 @t157))))) % 0.84/1.04 (assume @p392 (forall @t170 (= (|tptp.'plus$f'| @t168 @t167) (|tptp.'pair$d'| @t345 (|tptp.'plus$g'| @t165 @t164))))) % 0.84/1.04 (assume @p393 (forall @t226 (= (|tptp.'plus$n'| @t538 (|tptp.'pair$m'| @t124 @t222)) (|tptp.'pair$m'| @t130 @t223)))) % 0.84/1.04 (assume @p394 (forall @t6 (=> (and @t539 (=> @t529 false)) false))) % 0.84/1.04 (assume @p395 (forall @t6 (= (* 0 @t499) 0))) % 0.84/1.04 (assume @p396 (forall @t186 (= @t533 (or @t501 @t532)))) % 0.84/1.04 (assume @p397 (forall @t186 (=> @t508 (= @t536 @t509)))) % 0.84/1.04 (assume @p398 (forall @t186 (=> @t508 (= @t533 @t532)))) % 0.84/1.04 (assume @p399 (forall @t202 (=> (and @t543 (=> @t541 false) (=> @t540 false)) false))) % 0.84/1.04 (assume @p400 (forall @t558 (=> (and @t557 (forall @t555 (=> (and @t554 @t553) @t551))) @t545))) % 0.84/1.04 (assume @p401 (forall @t558 (=> (forall @t555 (=> @t553 @t551)) @t545))) % 0.84/1.04 (assume @p402 (forall @t558 (=> (forall @t555 (=> (forall @t550 (=> @t549 @t546)) @t552)) @t545))) % 0.84/1.04 (assume @p403 (forall @t186 (=> @t560 (< @t559 @t511)))) % 0.84/1.04 (assume @p404 (forall @t186 (=> @t560 (< @t513 @t561)))) % 0.84/1.04 (assume @p405 (forall @t6 (=> @t562 false))) % 0.84/1.04 (assume @p406 (forall @t202 (=> @t541 (not @t531)))) % 0.84/1.04 (assume @p407 (forall @t202 (=> @t541 @t543))) % 0.84/1.04 (assume @p408 (forall @t202 (=> @t541 (not (= @t503 @t499))))) % 0.84/1.04 (assume @p409 (forall @t6 (not @t562))) % 0.84/1.04 (assume @p410 (forall @t202 (= @t543 (or @t541 @t540)))) % 0.84/1.04 (assume @p411 (forall @t6 (=> @t528 false))) % 0.84/1.04 (assume @p412 (forall @t6 (not @t528))) % 0.84/1.04 (assume @p413 (forall @t6 (= (not @t508) @t501))) % 0.84/1.04 (assume @p414 (forall @t6 (=> @t539 @t508))) % 0.84/1.04 (assume @p415 (forall (@list @t544 @t180 @t143) (=> (and @t545 (forall @t550 (=> @t546 (<= @t548 @t502)))) (exists @t550 (and @t546 (forall (@list @t563) (=> (|tptp.'fun_app$j'| @t544 @t563) (<= @t564 @t548)))))))) % 0.84/1.04 (assume @p416 (forall @t202 (or @t566 @t565))) % 0.84/1.04 (assume @p417 (forall @t186 (=> @t566 (<= @t559 @t511)))) % 0.84/1.04 (assume @p418 (forall @t186 (=> @t566 (<= @t513 @t561)))) % 0.84/1.04 (assume @p419 (forall @t315 (=> @t567 (<= @t513 (|tptp.'times$a'| @t503 @t548))))) % 0.84/1.04 (assume @p420 (forall @t202 (=> (and @t566 @t565) @t542))) % 0.84/1.04 (assume @p421 (forall @t6 (<= @t499 @t568))) % 0.84/1.04 (assume @p422 (forall @t202 (=> @t542 @t566))) % 0.84/1.04 (assume @p423 (forall @t186 (=> (and @t566 @t504) @t510))) % 0.84/1.04 (assume @p424 (forall @t6 (<= @t499 @t499))) % 0.84/1.04 (assume @p425 (forall @t6 (<= @t499 (|tptp.'times$a'| @t499 @t568)))) % 0.84/1.04 (assume @p426 (forall @t6 (= @t569 @t501))) % 0.84/1.04 (assume @p427 (forall @t6 (=> @t569 @t501))) % 0.84/1.04 (assume @p428 (forall @t6 (= @t530 true))) % 0.84/1.04 (assume @p429 (forall @t6 (= (+ 0 @t499) @t499))) % 0.84/1.04 (assume @p430 (forall @t202 (=> (= @t506 @t499) @t531))) % 0.84/1.04 (assume @p431 (forall @t186 (= (|tptp.'times$a'| @t506 @t502) (+ @t513 @t561)))) % 0.84/1.04 (assume @p432 (forall @t186 (= (|tptp.'times$a'| @t499 @t570) (+ @t512 @t513)))) % 0.84/1.04 (assume @p433 (forall @t315 (= (+ @t512 (+ @t511 @t548)) (+ (|tptp.'times$a'| @t505 @t503) @t548)))) % 0.84/1.04 (assume @p434 (forall @t6 (= (* 1 @t499) @t499))) % 0.84/1.04 (assume @p435 (forall @t6 (= (* @t499 1) @t499))) % 0.84/1.04 (assume @p436 (forall @t202 (=> (= @t499 @t512) (or @t534 @t501)))) % 0.84/1.04 (assume @p437 (forall @t46 (|tptp.'less_eq$'| |tptp.'zero$f'| @t42))) % 0.84/1.04 (assume @p438 (= |tptp.'zero$e'| (|tptp.'pair$a'| |tptp.'zero$'| |tptp.'zero$c'|))) % 0.84/1.04 (assume @p439 (= |tptp.'zero$d'| (|tptp.'pair$'| |tptp.'zero$a'| |tptp.'zero$e'|))) % 0.84/1.04 (assume @p440 (= |tptp.'zero$g'| (|tptp.'pair$n'| |tptp.'zero$a'| |tptp.'zero$a'|))) % 0.84/1.04 (assume @p441 (= |tptp.'zero$h'| (|tptp.'pair$o'| |tptp.'zero$a'| 0))) % 0.84/1.04 (assume @p442 (= |tptp.'zero$i'| (|tptp.'pair$p'| 0 |tptp.'zero$a'|))) % 0.84/1.04 (assume @p443 (= |tptp.'zero$j'| (|tptp.'pair$m'| 0 0))) % 0.84/1.04 (assume @p444 (forall @t186 (=> @t508 (= @t514 @t504)))) % 0.84/1.04 (assume @p445 (forall @t575 (=> (and @t574 @t504) (<= @t572 (|tptp.'of_nat$'| (|tptp.'fun_app$a'| @t571 @t143)))))) % 0.84/1.04 (assume @p446 (forall @t202 (=> @t576 @t541))) % 0.84/1.04 (assume @p447 (forall @t202 (=> @t577 @t566))) % 0.84/1.04 (assume @p448 (forall @t202 (= @t566 @t577))) % 0.84/1.04 (assume @p449 (forall @t202 (=> @t541 @t566))) % 0.84/1.04 (assume @p450 (forall @t558 (=> (and @t545 (not @t557)) (exists @t555 (and (<= @t502 @t503) (forall @t550 (=> @t549 @t547)) @t552))))) % 0.84/1.04 (assume @p451 (forall @t202 (= @t541 @t576))) % 0.84/1.04 (assume @p452 (forall @t186 (=> (< @t506 @t502) @t537))) % 0.84/1.04 (assume @p453 (forall @t315 (=> (and @t541 @t579) (< @t505 @t578)))) % 0.84/1.04 (assume @p454 (forall @t202 (not (< @t506 @t499)))) % 0.84/1.04 (assume @p455 (forall @t202 (not (< @t506 @t503)))) % 0.84/1.04 (assume @p456 (forall @t186 (=> @t541 (< @t505 @t570)))) % 0.84/1.04 (assume @p457 (forall @t186 (=> @t541 (< @t499 @t570)))) % 0.84/1.04 (assume @p458 (forall @t186 (=> @t541 (< @t499 @t580)))) % 0.84/1.04 (assume @p459 (forall @t315 (=> (and @t541 (= @t580 (+ @t499 @t548))) @t579))) % 0.84/1.04 (assume @p460 (forall @t202 (=> @t541 (exists @t555 (and @t554 (= @t505 @t503)))))) % 0.84/1.04 (assume @p461 (forall @t186 (=> (and @t581 (=> (and @t510 @t504) false)) false))) % 0.84/1.04 (assume @p462 (forall @t202 (<= @t499 @t506))) % 0.84/1.04 (assume @p463 (forall @t202 (<= @t499 (+ @t503 @t499)))) % 0.84/1.04 (assume @p464 (forall @t186 (=> @t581 @t510))) % 0.84/1.04 (assume @p465 (forall @t186 (=> @t581 @t504))) % 0.84/1.04 (assume @p466 (forall @t202 (=> @t566 @t582))) % 0.84/1.04 (assume @p467 (forall @t315 (=> @t567 (<= @t505 @t578)))) % 0.84/1.04 (assume @p468 (forall @t186 (=> @t566 (<= @t505 @t570)))) % 0.84/1.04 (assume @p469 (forall @t186 (=> @t566 (<= @t499 @t570)))) % 0.84/1.04 (assume @p470 (forall @t186 (=> @t566 (<= @t499 @t580)))) % 0.84/1.04 (assume @p471 (forall @t202 (= @t566 @t582))) % 0.84/1.04 (assume @p472 (= (|tptp.'from_nat$'| @t556) |tptp.'zero$f'|)) % 0.84/1.04 (assume @p473 (= (|tptp.'from_nat$a'| @t556) |tptp.'zero$k'|)) % 0.84/1.04 (assume @p474 (forall @t575 (=> @t574 (<= (+ @t572 @t502) (|tptp.'of_nat$'| (|tptp.'fun_app$a'| @t571 (|tptp.'nat$'| @t570))))))) % 0.84/1.04 (assume @p475 (forall @t588 (=> @t587 (= (|tptp.'fst$e'| @t585) (|tptp.'fst$f'| @t584))))) % 0.84/1.04 (assume @p476 (forall @t590 (=> (|tptp.'less$a'| @t42 @t589) (|tptp.'less_eq$'| (|tptp.'plus$b'| @t42 |tptp.'one$b'|) @t589)))) % 0.84/1.04 (assume @p477 (forall (@list @t61 @t133) (= (|tptp.'plus$j'| @t61 @t133) (|tptp.'pair$a'| (|tptp.'fun_app$a'| (|tptp.'plus$a'| @t63) (|tptp.'fst$b'| @t133)) (|tptp.'plus$h'| @t62 (|tptp.'snd$'| @t133)))))) % 0.84/1.04 (assume @p478 (forall (@list @t66 @t244) (= (|tptp.'plus$l'| @t66 @t244) (|tptp.'pair$b'| (|tptp.'fun_app$a'| (|tptp.'plus$a'| @t68) (|tptp.'fst$c'| @t244)) (|tptp.'plus$m'| @t67 (|tptp.'snd$f'| @t244)))))) % 0.84/1.04 (assume @p479 (forall @t389 (= @t520 (|tptp.'pair$d'| (|tptp.'fun_app$a'| (|tptp.'plus$a'| @t73) @t386) @t519)))) % 0.84/1.04 (assume @p480 (forall @t395 (= @t516 (|tptp.'pair$e'| @t515 @t521)))) % 0.84/1.04 (assume @p481 (forall @t400 (= @t523 (|tptp.'pair$'| (|tptp.'fun_app$b'| (|tptp.'plus$'| @t83) @t397) @t522)))) % 0.84/1.04 (assume @p482 (forall @t405 (= @t525 (|tptp.'pair$c'| (|tptp.'fun_app$b'| (|tptp.'plus$'| @t88) @t402) @t524)))) % 0.84/1.04 (assume @p483 (forall @t411 (= @t518 (|tptp.'pair$f'| @t517 @t526)))) % 0.84/1.04 (assume @p484 (forall (@list @t592 @t591) (= (|tptp.'plus$n'| @t592 @t591) (|tptp.'pair$m'| (+ (|tptp.'fst$p'| @t592) (|tptp.'fst$p'| @t591)) (+ @t593 (|tptp.'snd$p'| @t591)))))) % 0.84/1.04 (assume @p485 (forall @t588 (=> @t587 (= (|tptp.'of_nat$'| (|tptp.'fst$b'| (|tptp.'snd$a'| @t585))) (|tptp.'of_nat$'| (|tptp.'fst$d'| (|tptp.'snd$d'| @t584))))))) % 0.84/1.04 (assume @p486 (forall @t595 (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| |tptp.'one$d'|) @t594) |tptp.'one$'|))) % 0.84/1.04 (assume @p487 (forall @t46 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| |tptp.'one$e'|) @t42) |tptp.'one$d'|))) % 0.84/1.04 (assume @p488 (forall @t602 (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'plus$o'| @t599 @t596)) @t478) (|tptp.'fun_app$b'| (|tptp.'plus$'| @t601) @t598)))) % 0.84/1.04 (assume @p489 (forall @t609 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| @t608) @t466) (|tptp.'plus$o'| @t607 @t604)))) % 0.84/1.04 (assume @p490 (forall @t602 (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'times$c'| @t599 @t596)) @t478) (|tptp.'fun_app$b'| (|tptp.'times$'| @t601) @t598)))) % 0.84/1.04 (assume @p491 (forall @t609 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| (|tptp.'times$d'| @t605 @t142)) @t466) (|tptp.'times$c'| @t607 @t604)))) % 0.84/1.04 (assume @p492 (forall @t595 (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| |tptp.'zero$l'|) @t594) |tptp.'zero$a'|))) % 0.84/1.04 (assume @p493 (forall @t46 (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| |tptp.'zero$c'|) @t42) |tptp.'zero$l'|))) % 0.84/1.04 (assume @p494 (forall (@list @t613 @t596 @t611 @t610) (and (=> @t614 (and (=> @t614 (= @t616 @t616)) (=> @t615 (= @t616 @t612)))) (=> @t615 (and (=> @t614 (= @t612 @t616)) (=> @t615 (= @t612 @t612))))))) % 0.84/1.04 (assume @p495 (forall (@list @t613 @t142 @t255 @t617) (and (=> @t614 (and (=> @t614 (= @t619 @t619)) (=> @t615 (= @t619 @t618)))) (=> @t615 (and (=> @t614 (= @t618 @t619)) (=> @t615 (= @t618 @t618))))))) % 0.84/1.04 (assume @p496 (forall @t621 (= @t620 (forall @t479 (= @t601 @t598))))) % 0.84/1.04 (assume @p497 (forall @t623 (= @t622 (forall @t467 (= @t607 @t604))))) % 0.84/1.04 (assume @p498 (forall @t621 (= (= @t600 @t597) @t620))) % 0.84/1.04 (assume @p499 (forall @t623 (= (= @t606 @t603) @t622))) % 0.84/1.04 (assume @p500 (forall (@list @t624 @t142 @t466 @t610) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| (|tptp.'map_matrix$'| @t624 @t142)) @t466)) @t610) (|tptp.'fun_app$b'| @t624 (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| @t604) @t610))))) % 0.84/1.04 (assume @p501 (forall @t3 (= (= @t122 0) @t104))) % 0.84/1.04 (assume @p502 (forall @t178 (= @t189 (or @t187 @t97)))) % 0.84/1.04 (assume @p503 (forall @t178 (= @t177 (or @t135 @t111)))) % 0.84/1.04 (assume @p504 (forall @t178 (= @t229 @t236))) % 0.84/1.04 (assume @p505 (forall (@list @t625) (= (forall (@list @t626) (exists (@list @t134) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| @t625 @t626) @t134))) (exists (@list @t596) (forall @t479 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| @t625 @t478) @t598)))))) % 0.84/1.04 (assume @p506 (forall (@list @t627) (= (forall (@list @t589) (exists (@list @t611) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| @t627 @t589) @t611))) (exists (@list @t142) (forall @t467 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| @t627 @t466) @t604)))))) % 0.84/1.04 (assume @p507 (forall @t178 (=> (and @t333 @t189) @t187))) % 0.84/1.04 (assume @p508 (forall @t178 (=> (and @t333 @t332) @t187))) % 0.84/1.04 (assume @p509 (forall @t107 (= @t218 (<= @t308 @t102)))) % 0.84/1.04 (assume @p510 (forall @t202 (=> (and @t313 @t447 @t448) (= (= @t185 |tptp.'one$a'|) (and (= @t5 |tptp.'one$a'|) (= @t180 |tptp.'one$a'|)))))) % 0.84/1.04 (assume @p511 (forall @t107 (=> (and @t123 @t378 @t379) (= (= @t106 1) (and @t112 @t103))))) % 0.84/1.04 (assume @p512 (forall @t107 (= (|tptp.'divides_aux$'| @t538) @t113))) % 0.84/1.04 (assume @p513 (forall (@list @t592) (= (|tptp.'divides_aux$'| @t592) (= @t593 0)))) % 0.84/1.04 (assume @p514 (forall @t128 (=> @t214 (= (< @t110 @t279) @t210)))) % 0.84/1.04 (assume @p515 (forall @t128 (=> @t214 (= (<= @t110 @t279) @t173)))) % 0.84/1.04 (assume @p516 (forall (@list @t605) (= (|tptp.'of_nat$'| (|tptp.'nrows$'| @t605)) (|tptp.'of_nat$'| (|tptp.'nrows_iarray$'| @t628))))) % 0.84/1.04 (assume @p517 (forall (@list @t629) (= (|tptp.'upper_triangular$'| @t629) (forall (@list @t626 @t478) (=> (|tptp.'less$b'| @t478 @t626) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$e'| @t629 @t626)) @t478) |tptp.'zero$a'|)))))) % 0.84/1.04 (assume @p518 (forall (@list @t630) (= (|tptp.'upper_triangular$a'| @t630) (forall (@list @t589 @t466) (=> (|tptp.'less$a'| @t466 @t589) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| (|tptp.'vec_nth$f'| @t630 @t589)) @t466) |tptp.'zero$l'|)))))) % 0.84/1.04 (assume @p519 (forall @t623 (= (|tptp.'matrix_to_iarray$'| @t608) (|tptp.'plus$g'| @t628 @t583)))) % 0.84/1.04 (assume @p520 (forall @t623 (= @t622 (= @t628 @t583)))) % 0.84/1.04 (assume @p521 (forall @t634 (= (|tptp.'of_nat$'| (|tptp.'fst$b'| @t633)) (|tptp.'of_nat$'| (|tptp.'fst$b'| @t632))))) % 0.84/1.04 (assume @p522 (forall @t634 (= @t633 @t632))) % 0.84/1.04 (assume @p523 (forall (@list @t635 @t180) (and (=> @t644 (= @t643 (|tptp.'pair$r'| @t640 (|tptp.'pair$h'| @t637 @t639)))) (=> (not @t644) (= @t643 (|tptp.'pair$r'| (|tptp.'fst$r'| @t641) (|tptp.'pair$h'| (|tptp.'nat$'| (+ @t642 1)) (|tptp.'snd$s'| @t641)))))))) % 0.84/1.04 (assume @p524 (forall (@list @t645 @t180) (and (=> @t654 (= @t653 (|tptp.'pair$t'| @t650 (|tptp.'pair$j'| @t647 @t649)))) (=> (not @t654) (= @t653 (|tptp.'pair$t'| (|tptp.'fst$t'| @t651) (|tptp.'pair$j'| (|tptp.'nat$'| (+ @t652 1)) (|tptp.'snd$u'| @t651)))))))) % 0.84/1.04 (assume @p525 (forall (@list @t655 @t180) (and (=> @t664 (= @t663 (|tptp.'pair$v'| @t660 (|tptp.'pair$l'| @t657 @t659)))) (=> (not @t664) (= @t663 (|tptp.'pair$v'| (|tptp.'fst$v'| @t661) (|tptp.'pair$l'| (|tptp.'nat$'| (+ @t662 1)) (|tptp.'snd$w'| @t661)))))))) % 0.84/1.04 (assume @p526 (forall (@list @t665 @t180) (and (=> @t674 (= @t673 (|tptp.'pair$q'| @t670 (|tptp.'pair$a'| @t667 @t669)))) (=> (not @t674) (= @t673 (|tptp.'pair$q'| (|tptp.'fst$x'| @t671) (|tptp.'pair$a'| (|tptp.'nat$'| (+ @t672 1)) (|tptp.'snd$x'| @t671)))))))) % 0.84/1.04 (assume @p527 (forall (@list @t605 @t589 @t478 @t675) (= (|tptp.'snd$b'| (|tptp.'gauss_Jordan_in_ij_det_P$'| @t605 @t589 @t478)) (|tptp.'snd$x'| (|tptp.'gauss_Jordan_in_ij_PA$c'| (|tptp.'pair$x'| @t675 @t605) @t589 @t478))))) % 0.84/1.04 (assume @p528 (forall (@list @t676 @t180 @t255 @t132) (=> (and (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| @t676 @t180) @t255) (= @t132 @t256)) (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| @t676 (|tptp.'fst$b'| @t132)) (|tptp.'snd$'| @t132))))) % 0.84/1.04 (assume @p529 (forall (@list @t678 @t180 @t259 @t677) (=> (and (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| @t678 @t180) @t259) (= @t677 @t260)) (|tptp.'fun_app$q'| (|tptp.'fun_app$r'| @t678 (|tptp.'fst$c'| @t677)) (|tptp.'snd$f'| @t677))))) % 0.84/1.04 (assume @p530 (forall (@list @t679 @t180 @t267 @t157) (=> (and (|tptp.'fun_app$s'| (|tptp.'fun_app$t'| @t679 @t180) @t267) (= @t157 @t268)) (|tptp.'fun_app$s'| (|tptp.'fun_app$t'| @t679 (|tptp.'fst$d'| @t157)) (|tptp.'snd$c'| @t157))))) % 0.84/1.04 (assume @p531 (forall (@list @t681 @t96 @t255 @t680) (=> (and (|tptp.'fun_app$o'| (|tptp.'fun_app$u'| @t681 @t96) @t255) (= @t680 (|tptp.'pair$e'| @t96 @t255))) (|tptp.'fun_app$o'| (|tptp.'fun_app$u'| @t681 (|tptp.'fst$'| @t680)) (|tptp.'snd$b'| @t680))))) % 0.84/1.04 (assume @p532 (forall (@list @t683 @t96 @t251 @t682) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$v'| @t683 @t96) @t251) (= @t682 @t252)) (|tptp.'fun_app$g'| (|tptp.'fun_app$v'| @t683 (|tptp.'fst$e'| @t682)) (|tptp.'snd$a'| @t682))))) % 0.84/1.04 (assume @p533 (forall (@list @t685 @t96 @t263 @t684) (=> (and (|tptp.'fun_app$i'| (|tptp.'fun_app$w'| @t685 @t96) @t263) (= @t684 @t264)) (|tptp.'fun_app$i'| (|tptp.'fun_app$w'| @t685 (|tptp.'fst$f'| @t684)) (|tptp.'snd$d'| @t684))))) % 0.84/1.04 (assume @p534 (forall (@list @t687 @t96 @t267 @t686) (=> (and (|tptp.'fun_app$s'| (|tptp.'fun_app$x'| @t687 @t96) @t267) (= @t686 (|tptp.'pair$f'| @t96 @t267))) (|tptp.'fun_app$s'| (|tptp.'fun_app$x'| @t687 (|tptp.'fst$a'| @t686)) (|tptp.'snd$e'| @t686))))) % 0.84/1.04 (assume @p535 (forall (@list @t613 @t96) (and (=> @t614 (and (=> @t614 (= @t689 @t96)) (=> @t615 (= @t689 |tptp.'zero$a'|)))) (=> @t615 (and (=> @t614 (= @t688 @t96)) (=> @t615 (= @t688 |tptp.'zero$a'|))))))) % 0.84/1.04 (assume @p536 (forall (@list @t613 @t102) (and (=> @t614 (and (=> @t614 (= @t691 @t102)) (=> @t615 (= @t691 0)))) (=> @t615 (and (=> @t614 (= @t690 @t102)) (=> @t615 (= @t690 0))))))) % 0.84/1.04 (assume @p537 (forall (@list @t613 @t180) (and (=> @t614 (and (=> @t614 (= @t693 @t180)) (=> @t615 (= @t693 |tptp.'zero$'|)))) (=> @t615 (and (=> @t614 (= @t692 @t180)) (=> @t615 (= @t692 |tptp.'zero$'|))))))) % 0.84/1.04 (assume @p538 (forall @t699 (=> @t698 (= (|tptp.'fst$'| @t697) (|tptp.'fst$a'| @t696))))) % 0.84/1.04 (assume @p539 (forall @t46 (= (|tptp.'from_nat$'| @t700) @t42))) % 0.84/1.04 (assume @p540 (forall @t595 (= (|tptp.'from_nat$a'| @t701) @t594))) % 0.84/1.04 (assume @p541 (forall @t590 (=> (|tptp.'less_eq$'| @t42 @t589) (<= @t703 @t702)))) % 0.84/1.04 (assume @p542 (forall @t704 (=> (= @t703 @t503) (= @t456 @t42)))) % 0.84/1.04 (assume @p543 (forall @t706 (=> (= @t705 @t503) (= @t481 @t594)))) % 0.84/1.04 (assume @p544 (forall @t704 (=> (|tptp.'less$a'| @t42 @t456) (< @t703 @t503)))) % 0.84/1.04 (assume @p545 (forall @t706 (=> (|tptp.'less$b'| @t594 @t481) (< @t705 @t503)))) % 0.84/1.04 (assume @p546 (forall @t590 (= (|tptp.'plus$b'| @t42 @t589) (|tptp.'from_nat$'| (|tptp.'nat$'| (+ @t703 @t702)))))) % 0.84/1.04 (assume @p547 (forall (@list @t594 @t626) (= (|tptp.'plus$c'| @t594 @t626) (|tptp.'from_nat$a'| (|tptp.'nat$'| (+ @t705 (|tptp.'of_nat$'| @t694))))))) % 0.84/1.04 (assume @p548 (forall (@list @t629 @t180) (= (|tptp.'fun_app$j'| (|tptp.'upper_triangular_upt_k$'| @t629) @t180) (forall (@list @t478 @t610) (=> (and (|tptp.'less$b'| @t610 @t478) (< (|tptp.'of_nat$'| (|tptp.'to_nat$a'| @t610)) @t503)) (= (|tptp.'fun_app$c'| (|tptp.'vec_nth$'| (|tptp.'vec_nth$e'| @t629 @t478)) @t610) |tptp.'zero$a'|)))))) % 0.84/1.04 (assume @p549 (forall (@list @t630 @t180) (= (|tptp.'fun_app$j'| (|tptp.'upper_triangular_upt_k$a'| @t630) @t180) (forall (@list @t466 @t617) (=> (and (|tptp.'less$a'| @t617 @t466) (< (|tptp.'of_nat$'| (|tptp.'to_nat$'| @t617)) @t503)) (= (|tptp.'fun_app$d'| (|tptp.'vec_nth$a'| (|tptp.'vec_nth$f'| @t630 @t466)) @t617) |tptp.'zero$l'|)))))) % 0.84/1.04 (assume @p550 (<= 0 0)) % 0.84/1.04 (assume @p551 (not (< 0 0))) % 0.84/1.04 (assume @p552 (<= 1 1)) % 0.84/1.04 (assume @p553 (not (< 1 1))) % 0.84/1.04 (assume @p554 (forall @t699 (=> @t698 (= (|tptp.'matrix_to_iarray$'| (|tptp.'snd$b'| @t697)) (|tptp.'snd$e'| @t696))))) % 0.84/1.04 (assume @p555 (forall (@list @t5 @t142 @t466 @t675 @t709 @t707) (=> (and @t712 (<= @t711 @t499)) (= (|tptp.'vec_nth$b'| (|tptp.'vec_nth$c'| (|tptp.'fst$x'| (|tptp.'row_add_iterate_PA$'| @t710 @t5 @t466 @t709)) @t466) @t707) (|tptp.'vec_nth$b'| @t708 @t707))))) % 0.84/1.04 (assume @p556 (forall (@list @t5 @t142 @t466 @t675 @t715 @t714 @t713) (=> (and @t712 (< @t499 @t711)) (= (|tptp.'vec_nth$b'| (|tptp.'vec_nth$c'| (|tptp.'fst$x'| (|tptp.'row_add_iterate_PA$'| @t710 @t5 @t715 @t714)) @t466) @t713) (|tptp.'vec_nth$b'| @t708 @t713))))) % 0.84/1.04 (assume @p557 (forall @t719 (=> @t718 (|tptp.'member$'| @t130 (|tptp.'plus$p'| @t717 @t716))))) % 0.84/1.04 (assume @p558 (forall (@list @t7 @t721 @t134 @t720) (=> (and (|tptp.'member$a'| @t7 @t721) (|tptp.'member$a'| @t134 @t720)) (|tptp.'member$a'| @t188 (|tptp.'times$e'| @t721 @t720))))) % 0.84/1.04 (assume @p559 (forall @t719 (=> @t718 (|tptp.'member$'| @t190 (|tptp.'times$f'| @t717 @t716))))) % 0.84/1.04 (assume @p560 (forall (@list @t5 @t723 @t143 @t722) (=> (and (|tptp.'member$b'| @t5 @t723) (|tptp.'member$b'| @t143 @t722)) (|tptp.'member$b'| @t194 (|tptp.'times$g'| @t723 @t722))))) % 0.84/1.04 (assume @p561 (forall (@list @t724 @t721) (=> (|tptp.'member$a'| |tptp.'zero$a'| @t724) (|tptp.'less_eq$c'| @t721 (|tptp.'plus$q'| @t724 @t721))))) % 0.84/1.04 (assume @p562 (forall (@list @t725 @t717) (=> (|tptp.'member$'| 0 @t725) (|tptp.'less_eq$d'| @t717 (|tptp.'plus$p'| @t725 @t717))))) % 0.84/1.04 (assume @p563 (forall (@list @t7 @t721 @t726) (=> (and (|tptp.'member$a'| @t7 (|tptp.'times$e'| @t721 @t726)) (forall (@list @t341 @t727) (=> (and (= @t7 (|tptp.'fun_app$b'| (|tptp.'times$'| @t341) @t727)) (|tptp.'member$a'| @t341 @t721) (|tptp.'member$a'| @t727 @t726)) false))) false))) % 0.84/1.04 (assume @p564 (forall @t732 (=> (and (|tptp.'member$'| @t1 (|tptp.'times$f'| @t717 @t728)) (forall @t731 (=> (and (= @t1 (|tptp.'times$a'| @t222 @t412)) @t730 @t729) false))) false))) % 0.84/1.04 (assume @p565 (forall (@list @t5 @t723 @t733) (=> (and (|tptp.'member$b'| @t5 (|tptp.'times$g'| @t723 @t733)) (forall @t573 (=> (and (= @t5 (|tptp.'fun_app$a'| (|tptp.'times$b'| @t309) @t563)) (|tptp.'member$b'| @t309 @t723) (|tptp.'member$b'| @t563 @t733)) false))) false))) % 0.84/1.04 (assume @p566 (forall @t732 (=> (and (|tptp.'member$'| @t1 (|tptp.'plus$p'| @t717 @t728)) (forall @t731 (=> (and (= @t1 @t414) @t730 @t729) false))) false))) % 0.84/1.04 (assume @p567 (forall @t46 (|tptp.'less_eq$'| @t42 @t42))) % 0.84/1.04 (assume @p568 (forall @t3 (<= @t1 @t1))) % 0.84/1.04 (assume @p569 (forall @t107 (=> @t272 (= (<= @t102 @t1) (= @t102 @t1))))) % 0.84/1.04 (assume @p570 (forall @t6 (= (|tptp.'nat$'| @t499) @t5))) % 0.84/1.04 (assume @p571 (forall @t3 (and (=> @t123 (= @t734 @t1)) (=> (not @t123) (= @t734 0))))) % 0.84/1.04 (assume @p572 (forall (@list @t735) (or (= @t735 tptp.tltrue) (= @t735 tptp.tlfalse)))) % 0.84/1.04 (assume @p573 (not (= tptp.tltrue tptp.tlfalse))) % 0.84/1.04 (assume @p574 true) % 0.84/1.04 (step @p575 :rule evaluate :args ((= false true))) % 0.84/1.04 (step @p576 :rule instantiate :premises (@p516) :args ((@list |tptp.'a$'|))) % 0.84/1.04 (step @p577 :rule arith_poly_norm :args ((= @t738 @t736))) % 0.84/1.04 (step @p578 :rule arith_poly_norm_rel :premises (@p577) :args ((= (= @t737 0) @t41))) % 0.84/1.04 (step @p579 :rule bool-double-not-elim :args (@t739)) % 0.84/1.04 (step @p580 :rule arith_poly_norm :args ((= @t736 @t738))) % 0.84/1.04 (step @p581 :rule arith_poly_norm_rel :premises (@p580) :args ((= @t740 @t739))) % 0.84/1.04 (step @p582 :rule cong :premises (@p581) :args ((not @t740))) % 0.84/1.04 (step @p583 :rule arith-elim-lt :args (@t12 @t40)) % 0.84/1.04 (step @p584 :rule trans :premises (@p583 @p582)) % 0.84/1.04 (step @p585 :rule cong :premises (@p584) :args (@t60)) % 0.84/1.04 (step @p586 :rule trans :premises (@p585 @p579)) % 0.84/1.04 (step @p587 :rule eq_resolve :premises (@p11 @p586)) % 0.84/1.04 (step @p588 :rule arith-elim-lt :args (@t737 1)) % 0.84/1.04 (step @p589 :rule symm :premises (@p588)) % 0.84/1.04 (step @p590 :rule arith_poly_norm :args ((= (* -1 (- @t12 @t741)) (* -1 (- @t737 1))))) % 0.84/1.04 (step @p591 :rule arith_poly_norm_rel :premises (@p590) :args ((= @t742 (>= @t737 1)))) % 0.84/1.04 (step @p592 :rule cong :premises (@p591) :args ((not @t742))) % 0.84/1.04 (step @p593 :rule arith-leq-norm :args (@t12 @t40)) % 0.84/1.04 (step @p594 :rule trans :premises (@p593 @p592)) % 0.84/1.04 (step @p595 :rule eq_resolve :premises (@p10 @p594)) % 0.84/1.04 (step @p596 :rule eq_resolve :premises (@p595 @p589)) % 0.84/1.04 (step @p597 :rule int_tight_ub :premises (@p596)) % 0.84/1.04 (step @p598 :rule arith_trichotomy :premises (@p597 @p587)) % 0.84/1.04 (step @p599 :rule eq_resolve :premises (@p598 @p578)) % 0.84/1.04 (step @p600 :rule trans :premises (@p599 @p576)) % 0.84/1.04 (step @p601 :rule true_intro :premises (@p600)) % 0.84/1.04 (step @p602 :rule eq-symm :args (@t358 @t133)) % 0.84/1.04 (step @p603 :rule cong :premises (@p602) :args (@t360)) % 0.84/1.04 (step @p604 :rule eq_resolve :premises (@p240 @p603)) % 0.84/1.04 (step @p605 :rule instantiate :premises (@p604) :args ((@list |tptp.'n$'| @t51))) % 0.84/1.04 (step @p606 :rule cong :premises (@p605) :args ((|tptp.'snd$'| @t51))) % 0.84/1.04 (step @p607 :rule eq-symm :args (@t347 @t142)) % 0.84/1.04 (step @p608 :rule cong :premises (@p607) :args (@t349)) % 0.84/1.04 (step @p609 :rule eq_resolve :premises (@p236 @p608)) % 0.84/1.04 (step @p610 :rule instantiate :premises (@p609) :args ((@list |tptp.'i$'| |tptp.'a$'|))) % 0.84/1.04 (step @p611 :rule trans :premises (@p610 @p606)) % 0.84/1.04 (step @p612 :rule cong :premises (@p611) :args (@t9)) % 0.84/1.04 (step @p613 :rule eq-symm :args (@t352 @t165)) % 0.84/1.04 (step @p614 :rule cong :premises (@p613) :args (@t354)) % 0.84/1.04 (step @p615 :rule eq_resolve :premises (@p238 @p614)) % 0.84/1.04 (step @p616 :rule instantiate :premises (@p615) :args ((@list |tptp.'i$'| @t9))) % 0.84/1.04 (step @p617 :rule symm :premises (@p616)) % 0.84/1.04 (step @p618 :rule eq-symm :args (@t361 @t158)) % 0.84/1.04 (step @p619 :rule cong :premises (@p618) :args (@t363)) % 0.84/1.04 (step @p620 :rule eq_resolve :premises (@p241 @p619)) % 0.84/1.04 (step @p621 :rule instantiate :premises (@p620) :args ((@list |tptp.'n$'| @t35))) % 0.84/1.04 (step @p622 :rule symm :premises (@p621)) % 0.84/1.04 (step @p623 :rule cong :premises (@p622) :args (@t36)) % 0.84/1.04 (step @p624 :rule trans :premises (@p623 @p617 @p612)) % 0.84/1.04 (step @p625 :rule cnf_implies_neg2 :args (@t744)) % 0.84/1.04 (step @p626 :rule chain_m_resolution :premises (@p625 @p624) :args (@t744 @t745 (@list @t743))) % 0.84/1.04 (step @p627 :rule cnf_or_neg :args (@t747 1)) % 0.84/1.04 (step @p628 :rule chain_m_resolution :premises (@p627 @p599) :args (@t747 @t745 (@list @t41))) % 0.84/1.04 (step @p629 :rule cnf_implies_neg1 :args (@t754)) % 0.84/1.04 (step @p630 :rule reordering :premises (@p629) :args ((or @t753 @t754))) % 0.84/1.04 (step @p631 :rule chain_m_resolution :premises (@p630 @p628) :args (@t754 @t745 (@list @t747))) % 0.84/1.04 (step @p632 :rule refl :args (@t752)) % 0.84/1.04 (step @p633 :rule refl :args (@t41)) % 0.84/1.04 (step @p634 :rule eq-symm :args (@t527 @t43)) % 0.84/1.04 (step @p635 :rule refl :args (@t746)) % 0.84/1.04 (step @p636 :rule nary_cong :premises (@p635 @p634) :args (@t755)) % 0.84/1.04 (step @p637 :rule cong :premises (@p636) :args (@t756)) % 0.84/1.04 (step @p638 :rule nary_cong :premises (@p637 @p633) :args (@t757)) % 0.84/1.04 (step @p639 :rule cong :premises (@p638) :args (@t758)) % 0.84/1.04 (step @p640 :rule cong :premises (@p639 @p632) :args (@t759)) % 0.84/1.04 (step @p641 :rule refl :args (@t761)) % 0.84/1.04 (step @p642 :rule cong :premises (@p638 @p641) :args (@t762)) % 0.84/1.04 (step @p643 :rule nary_cong :premises (@p642 @p640) :args (@t763)) % 0.84/1.04 (step @p644 :rule cong :premises (@p643) :args ((not @t763))) % 0.84/1.04 (step @p645 :rule refl :args (@t43)) % 0.84/1.04 (step @p646 :rule symm :premises (@p373)) % 0.84/1.04 (step @p647 :rule cong :premises (@p646 @p645) :args (@t764)) % 0.84/1.04 (step @p648 :rule nary_cong :premises (@p635 @p647) :args (@t765)) % 0.84/1.04 (step @p649 :rule cong :premises (@p648) :args (@t766)) % 0.84/1.04 (step @p650 :rule nary_cong :premises (@p649 @p633) :args (@t767)) % 0.84/1.04 (step @p651 :rule cong :premises (@p650) :args (@t768)) % 0.84/1.04 (step @p652 :rule cong :premises (@p651 @p632) :args (@t769)) % 0.84/1.04 (step @p653 :rule cong :premises (@p650 @p641) :args (@t770)) % 0.84/1.04 (step @p654 :rule nary_cong :premises (@p653 @p652) :args (@t771)) % 0.84/1.04 (step @p655 :rule cong :premises (@p654) :args ((not @t771))) % 0.84/1.04 (step @p656 :rule trans :premises (@p655 @p644)) % 0.84/1.04 (step @p657 :rule eq-symm :args (@t750 @t751)) % 0.84/1.04 (step @p658 :rule refl :args (@t11)) % 0.84/1.04 (step @p659 :rule arith_poly_norm :args ((= @t13 @t748))) % 0.84/1.04 (step @p660 :rule cong :premises (@p659) :args (@t14)) % 0.84/1.04 (step @p661 :rule cong :premises (@p660 @p658) :args (@t15)) % 0.84/1.04 (step @p662 :rule refl :args (@t16)) % 0.84/1.04 (step @p663 :rule cong :premises (@p662 @p661) :args (@t17)) % 0.84/1.04 (step @p664 :rule cong :premises (@p663) :args (@t18)) % 0.84/1.04 (step @p665 :rule cong :premises (@p664) :args (@t19)) % 0.84/1.04 (step @p666 :rule refl :args (@t23)) % 0.84/1.04 (step @p667 :rule cong :premises (@p660 @p666) :args (@t24)) % 0.84/1.04 (step @p668 :rule refl :args (@t25)) % 0.84/1.04 (step @p669 :rule cong :premises (@p668 @p667) :args (@t26)) % 0.84/1.04 (step @p670 :rule cong :premises (@p669) :args (@t27)) % 0.84/1.04 (step @p671 :rule cong :premises (@p670) :args (@t28)) % 0.84/1.04 (step @p672 :rule cong :premises (@p671) :args (@t29)) % 0.84/1.04 (step @p673 :rule cong :premises (@p672 @p665) :args (@t30)) % 0.84/1.04 (step @p674 :rule trans :premises (@p673 @p657)) % 0.84/1.04 (step @p675 :rule refl :args (@t33)) % 0.84/1.04 (step @p676 :rule cong :premises (@p675 @p674) :args (@t34)) % 0.84/1.04 (step @p677 :rule eq-symm :args (@t750 @t36)) % 0.84/1.04 (step @p678 :rule refl :args (@t36)) % 0.84/1.04 (step @p679 :rule cong :premises (@p672 @p678) :args (@t37)) % 0.84/1.04 (step @p680 :rule trans :premises (@p679 @p677)) % 0.84/1.04 (step @p681 :rule refl :args (@t32)) % 0.84/1.04 (step @p682 :rule cong :premises (@p681 @p680) :args (@t38)) % 0.84/1.04 (step @p683 :rule nary_cong :premises (@p682 @p676) :args (@t39)) % 0.84/1.04 (step @p684 :rule bool-impl-elim :args (@t44 @t764)) % 0.84/1.04 (step @p685 :rule cong :premises (@p684) :args ((forall @t46 (=> @t44 @t764)))) % 0.84/1.04 (step @p686 :rule eq-symm :args (@t43 |tptp.'zero$a'|)) % 0.84/1.04 (step @p687 :rule refl :args (@t44)) % 0.84/1.04 (step @p688 :rule cong :premises (@p687 @p686) :args (@t45)) % 0.84/1.04 (step @p689 :rule cong :premises (@p688) :args (@t47)) % 0.84/1.04 (step @p690 :rule trans :premises (@p689 @p685)) % 0.84/1.04 (step @p691 :rule nary_cong :premises (@p690 @p633) :args (@t48)) % 0.84/1.04 (step @p692 :rule cong :premises (@p691) :args (@t49)) % 0.84/1.04 (step @p693 :rule cong :premises (@p692 @p683) :args (@t50)) % 0.84/1.04 (step @p694 :rule refl :args (@t52)) % 0.84/1.04 (step @p695 :rule cong :premises (@p694 @p665) :args (@t53)) % 0.84/1.04 (step @p696 :rule cong :premises (@p675 @p695) :args (@t54)) % 0.84/1.04 (step @p697 :rule eq-symm :args (@t52 @t36)) % 0.84/1.04 (step @p698 :rule cong :premises (@p681 @p697) :args (@t55)) % 0.84/1.04 (step @p699 :rule nary_cong :premises (@p698 @p696) :args (@t56)) % 0.84/1.04 (step @p700 :rule cong :premises (@p691 @p699) :args (@t57)) % 0.84/1.04 (step @p701 :rule nary_cong :premises (@p700 @p693) :args (@t58)) % 0.84/1.04 (step @p702 :rule cong :premises (@p701) :args (@t59)) % 0.84/1.04 (step @p703 :rule trans :premises (@p702 @p656)) % 0.84/1.04 (step @p704 :rule eq_resolve :premises (@p9 @p703)) % 0.84/1.04 (step @p705 :rule not_and :premises (@p704)) % 0.84/1.04 (step @p706 :rule chain_m_resolution :premises (@p705 @p631) :args ((not @t772) @t745 (@list @t754))) % 0.84/1.04 (step @p707 :rule cnf_implies_neg2 :args (@t772)) % 0.84/1.04 (step @p708 :rule chain_m_resolution :premises (@p707 @p706) :args ((not @t761) @t773 (@list @t772))) % 0.84/1.04 (step @p709 :rule cnf_and_neg :args (@t761)) % 0.84/1.04 (step @p710 :rule chain_m_resolution :premises (@p709 @p708 @p626) :args ((not @t760) (@list true false) (@list @t761 @t744))) % 0.84/1.04 (step @p711 :rule cnf_implies_neg1 :args (@t760)) % 0.84/1.04 (step @p712 :rule reordering :premises (@p711) :args ((or @t33 @t760))) % 0.84/1.04 (step @p713 :rule chain_m_resolution :premises (@p712 @p710) :args (@t33 @t773 (@list @t760))) % 0.84/1.04 (step @p714 :rule cnf_or_neg :args (@t32 1)) % 0.84/1.04 (step @p715 :rule chain_m_resolution :premises (@p714 @p713) :args ((not @t31) @t773 (@list @t32))) % 0.84/1.04 (step @p716 :rule false_intro :premises (@p715)) % 0.84/1.04 (step @p717 :rule symm :premises (@p716)) % 0.84/1.04 (step @p718 :rule trans :premises (@p717 @p601)) % 0.84/1.04 (step @p719 false :rule eq_resolve :premises (@p718 @p575)) % 0.84/1.04 ) % 0.84/1.04 % SZS output end Proof % 0.84/1.04 % cvc5 exiting %------------------------------------------------------------------------------