TSTP Solution File: ITP325_10 by cvc5-SAT---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5-SAT---1.0.5
% Problem  : ITP325_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:16:03 EDT 2024

% Result   : Satisfiable 22.43s 22.64s
% Output   : FiniteModel 22.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : ITP325_10 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 26 02:24:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.48/0.65  %----Disproving TF0_NAR
% 22.43/22.64  --- Run --finite-model-find --decision=internal --sort-inference --macros-quant --macros-quant-mode=all at 30...
% 22.43/22.64  % SZS status CounterSatisfiable for /export/starexec/sandbox2/tmp/tmp.i03NZ9NuzE/cvc5---1.0.5_17733.smt2
% 22.43/22.64  % SZS output start FiniteModel for /export/starexec/sandbox2/tmp/tmp.i03NZ9NuzE/cvc5---1.0.5_17733.smt2
% 22.43/22.64  (
% 22.43/22.64  ; cardinality of $$unsorted is 1
% 22.43/22.64  ; rep: (as @$$unsorted_0 $$unsorted)
% 22.43/22.64  ; cardinality of |tptp.'B_a_b_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec_a_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_a_fun$'|_0 |tptp.'A_b_vec_n_vec_a_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_b_vec_n_vec_bool_fun_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_n_vec_bool_fun_fun$'|_0 |tptp.'N_a_b_vec_n_vec_bool_fun_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_b_vec_n_vec_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_a_b_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_a_b_vec_fun$'|_0 |tptp.'A_b_vec_a_b_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_a_n_vec_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_a_n_vec_fun$'|_0 |tptp.'A_a_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_b_vec_bool_fun_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_bool_fun_fun$'|_0 |tptp.'N_a_b_vec_bool_fun_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_a_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_a_fun$'|_0 |tptp.'A_n_vec_a_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_b_vec$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_b_vec$'|_0 |tptp.'A_n_vec_b_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec_n_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_a_b_vec_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_a_b_vec_fun$'|_0 |tptp.'A_n_vec_a_b_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_a_b_vec_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_a_b_vec_fun$'|_0 |tptp.'A_a_b_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_b_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_n_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_n_vec_bool_fun_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'N_a_n_vec_bool_fun_fun$'|_0 |tptp.'N_a_n_vec_bool_fun_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'B$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'B$'|_0 |tptp.'B$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_a_b_vec_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_a_b_vec_n_vec_fun$'|_1 |tptp.'A_a_b_vec_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'N$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'N$'|_0 |tptp.'N$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_b_vec_b_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_b_vec_fun$'|_0 |tptp.'N_a_b_vec_b_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_b_vec_fun$'|_1 |tptp.'N_a_b_vec_b_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec_bool_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_bool_fun$'|_0 |tptp.'A_b_vec_n_vec_bool_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'B_a_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|)
% 22.43/22.64  ; cardinality of tptp.tlbool is 2
% 22.43/22.64  ; rep: (as @tptp.tlbool_0 tptp.tlbool)
% 22.43/22.64  ; rep: (as @tptp.tlbool_1 tptp.tlbool)
% 22.43/22.64  ; cardinality of |tptp.'N_a_bool_fun_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'N_a_bool_fun_fun$'|_0 |tptp.'N_a_bool_fun_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_bool_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_bool_fun$'|_0 |tptp.'A_bool_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_b_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A$'|_0 |tptp.'A$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A$'|_1 |tptp.'A$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_n_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'N_n_fun$'|_0 |tptp.'N_n_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_b_vec_n_vec$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_b_vec_n_vec$'|_0 |tptp.'A_b_vec_b_vec_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_a_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_a_n_vec_fun$'|_0 |tptp.'A_n_vec_a_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_a_n_vec_fun$'|_1 |tptp.'A_n_vec_a_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'B_a_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'B_a_n_vec_fun$'|_0 |tptp.'B_a_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'B_a_n_vec_fun$'|_1 |tptp.'B_a_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_a_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec_n_vec_n_vec$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_n_vec_n_vec$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_a_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_a_fun$'|_0 |tptp.'A_b_vec_a_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_bool_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_bool_fun$'|_0 |tptp.'A_b_vec_bool_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'A_n_vec_bool_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'A_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_bool_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_n_bool_fun_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_n_bool_fun_fun$'|_0 |tptp.'N_n_bool_fun_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_n_bool_fun_fun$'|_1 |tptp.'N_n_bool_fun_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'B_a_bool_fun_fun$'| is 1
% 22.43/22.64  ; rep: (as @|tptp.'B_a_bool_fun_fun$'|_0 |tptp.'B_a_bool_fun_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_bool_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_bool_fun$'|_0 |tptp.'N_bool_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_bool_fun$'|_1 |tptp.'N_bool_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_b_vec_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|)
% 22.43/22.64  ; cardinality of |tptp.'N_a_n_vec_n_vec_fun$'| is 2
% 22.43/22.64  ; rep: (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|)
% 22.43/22.64  ; rep: (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|)
% 22.43/22.64  (define-fun |tptp.'uul$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'times$b'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|) (as @|tptp.'A_b_vec_a_b_vec_fun$'|_0 |tptp.'A_b_vec_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uwy$'| (($x1 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_columns$a'| ((BOUND_VARIABLE_10737 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_10738 |tptp.'N$'|) (BOUND_VARIABLE_10739 |tptp.'N$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10737 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10738 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10739 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uwg$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'B$'|)) |tptp.'N_a_b_vec_fun$'| (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$p'| (($x1 |tptp.'A_n_vec_a_n_vec_fun$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_a_n_vec_fun$'|_0 |tptp.'A_n_vec_a_n_vec_fun$'|) $x1) (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uxm$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uvk$'| (($x1 |tptp.'A_a_b_vec_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_b_vec_fun$'| (as @|tptp.'N_a_b_vec_b_vec_fun$'|_1 |tptp.'N_a_b_vec_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uxg$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A_b_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x3)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uwl$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uvm$'| (($x1 |tptp.'A_b_vec_a_fun$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_a_fun$'|_0 |tptp.'A_b_vec_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uuk$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'B$'|)) |tptp.'B_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_columns_row$'| ((BOUND_VARIABLE_10675 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_10676 |tptp.'N$'|) (BOUND_VARIABLE_10677 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10675 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10676 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10677 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'less$'| () |tptp.'N_n_bool_fun_fun$'| (as @|tptp.'N_n_bool_fun_fun$'|_1 |tptp.'N_n_bool_fun_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uminus$e'| ((BOUND_VARIABLE_10691 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10691 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uub$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uminus$f'| ((BOUND_VARIABLE_10697 |tptp.'A_b_vec_b_vec$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (= BOUND_VARIABLE_10697 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uvq$'| (($x1 |tptp.'A_a_b_vec_n_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_rows_row$b'| ((BOUND_VARIABLE_10658 |tptp.'A_b_vec_n_vec$'|) (BOUND_VARIABLE_10659 |tptp.'N$'|) (BOUND_VARIABLE_10660 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (ite (and (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10658 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (= BOUND_VARIABLE_10659 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (= BOUND_VARIABLE_10660 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uva$'| (($x1 |tptp.'A_a_b_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uup$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'N$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$k'| (($x1 |tptp.'A_b_vec_a_b_vec_fun$'|) ($x2 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec$'| (ite (and (= (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|) $x1) (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x2)) (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'columnvector$g'| ((BOUND_VARIABLE_11000 |tptp.'A_n_vec$'|)) |tptp.'A_b_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (= BOUND_VARIABLE_11000 (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'row_add_row$'| ((BOUND_VARIABLE_124318 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_124319 |tptp.'N$'|) (BOUND_VARIABLE_124320 |tptp.'N$'|) (BOUND_VARIABLE_124321 |tptp.'A_b_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'one$c'| () |tptp.'A_b_vec$'| (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uxf$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A_b_vec$'|) ($x4 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uuy$'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uwm$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'least$'| (($x1 |tptp.'N_bool_fun$'|)) |tptp.'N$'| (as @|tptp.'N$'|_0 |tptp.'N$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$ad'| (($x1 |tptp.'B_a_bool_fun_fun$'|) ($x2 |tptp.'B$'|)) |tptp.'A_bool_fun$'| (as @|tptp.'A_bool_fun$'|_0 |tptp.'A_bool_fun$'|))
% 22.43/22.64  (define-fun |tptp.'map_matrix$h'| (($x1 |tptp.'A_b_vec_n_vec_a_fun$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uwf$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'B$'|)) |tptp.'N_bool_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'N_bool_fun$'|_1 |tptp.'N_bool_fun$'|) (as @|tptp.'N_bool_fun$'|_0 |tptp.'N_bool_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'a$a'| () |tptp.'A_b_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'vec_lambda$f'| (($x1 |tptp.'N_a_n_vec_n_vec_fun$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'mult_row$b'| ((BOUND_VARIABLE_11050 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_11051 |tptp.'N$'|) (BOUND_VARIABLE_11052 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11050 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11051 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_11052 (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uvg$'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A_b_vec_b_vec$'|)) |tptp.'B_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x2)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'rowvector$b'| ((BOUND_VARIABLE_10946 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10946 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uum$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uwc$'| () |tptp.'N_a_b_vec_fun$'| (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uxl$'| (($x1 |tptp.'A_n_vec$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (ite (and (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (ite (and (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))))
% 22.43/22.64  (define-fun |tptp.'uux$'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))))
% 22.43/22.64  (define-fun |tptp.'times$e'| ((BOUND_VARIABLE_11162 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_11163 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11162 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11163 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11162 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11163 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11162 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11163 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'row_add_row$b'| ((BOUND_VARIABLE_11024 |tptp.'A_b_vec_n_vec$'|) (BOUND_VARIABLE_11025 |tptp.'N$'|) (BOUND_VARIABLE_11026 |tptp.'N$'|) (BOUND_VARIABLE_11027 |tptp.'A$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (ite (= BOUND_VARIABLE_11027 (as @|tptp.'A$'|_0 |tptp.'A$'|)) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uud$'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'N_a_fun$'| (ite (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_rows$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$g'| (($x1 |tptp.'N_a_b_vec_b_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec_b_vec$'| (ite (and (= (as @|tptp.'N_a_b_vec_b_vec_fun$'|_1 |tptp.'N_a_b_vec_b_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uvn$'| (($x1 |tptp.'A_n_vec_a_fun$'|) ($x2 |tptp.'A_n_vec_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_fun$'| (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'one$d'| () |tptp.'A_b_vec_n_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uuc$'| (($x1 |tptp.'A_b_vec_b_vec$'|)) |tptp.'B_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uue$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'m$'| () |tptp.'N$'| (as @|tptp.'N$'|_0 |tptp.'N$'|))
% 22.43/22.64  (define-fun |tptp.'uvp$'| (($x1 |tptp.'A_a_b_vec_n_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uua$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))))
% 22.43/22.64  (define-fun |tptp.'uvi$'| (($x1 |tptp.'A_a_n_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_n_vec_fun$'| (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'zero$b'| () |tptp.'A_b_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'interchange_columns_row$b'| ((BOUND_VARIABLE_10683 |tptp.'A_b_vec_n_vec$'|) (BOUND_VARIABLE_10684 |tptp.'B$'|) (BOUND_VARIABLE_10685 |tptp.'B$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10683 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (= BOUND_VARIABLE_10684 (as @|tptp.'B$'|_0 |tptp.'B$'|)) (= BOUND_VARIABLE_10685 (as @|tptp.'B$'|_0 |tptp.'B$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uxo$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'zero$c'| () |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uwn$'| (($x1 |tptp.'A_b_vec$'|) ($x2 |tptp.'B$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uvu$'| () |tptp.'B_a_fun$'| (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'columnvector$'| ((BOUND_VARIABLE_10958 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10958 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'zero$e'| () |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'map_matrix$a'| ((BOUND_VARIABLE_10782 |tptp.'A_a_fun$'|) (BOUND_VARIABLE_10783 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10782 (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|)) (= BOUND_VARIABLE_10783 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10782 (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|)) (= BOUND_VARIABLE_10783 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10782 (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)) (= BOUND_VARIABLE_10783 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uwi$'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'B_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'map_matrix$e'| ((BOUND_VARIABLE_124545 |tptp.'A_a_n_vec_fun$'|) (BOUND_VARIABLE_124547 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'vec_nth$c'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$f'| (($x1 |tptp.'N_a_n_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uvh$'| (($x1 |tptp.'A_a_n_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'vec_nth$a'| (($x1 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uvz$'| () |tptp.'B_a_b_vec_fun$'| (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'vec_lambda$e'| (($x1 |tptp.'N_a_b_vec_n_vec_fun$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) $x1) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uxu$'| () |tptp.'A_n_vec_a_n_vec_fun$'| (as @|tptp.'A_n_vec_a_n_vec_fun$'|_0 |tptp.'A_n_vec_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$a'| (($x1 |tptp.'B_a_fun$'|) ($x2 |tptp.'B$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|)))
% 22.43/22.64  (define-fun |tptp.'vec_nth$b'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uxj$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))))
% 22.43/22.64  (define-fun |tptp.'vec_lambda$a'| (($x1 |tptp.'N_a_b_vec_fun$'|)) |tptp.'A_b_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) $x1) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$ae'| (($x1 |tptp.'A_b_vec_bool_fun$'|) ($x2 |tptp.'A_b_vec$'|)) Bool true)
% 22.43/22.64  (define-fun |tptp.'vec_lambda$'| (($x1 |tptp.'B_a_fun$'|)) |tptp.'A_b_vec$'| (ite (= (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|) $x1) (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'vec_lambda$i'| ((BOUND_VARIABLE_124558 |tptp.'B_a_n_vec_fun$'|)) |tptp.'A_n_vec_b_vec$'| (as @|tptp.'A_n_vec_b_vec$'|_0 |tptp.'A_n_vec_b_vec$'|))
% 22.43/22.64  (define-fun |tptp.'i$'| () |tptp.'N$'| (as @|tptp.'N$'|_0 |tptp.'N$'|))
% 22.43/22.64  (define-fun |tptp.'n$'| () |tptp.'N$'| (as @|tptp.'N$'|_0 |tptp.'N$'|))
% 22.43/22.64  (define-fun |tptp.'uvo$'| (($x1 |tptp.'A_n_vec_a_fun$'|) ($x2 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uxp$'| () |tptp.'A_n_vec_a_n_vec_fun$'| (as @|tptp.'A_n_vec_a_n_vec_fun$'|_1 |tptp.'A_n_vec_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'zero$d'| () |tptp.'A_b_vec$'| (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|))
% 22.43/22.64  (define-fun |tptp.'columnvector$b'| ((BOUND_VARIABLE_124578 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$q'| (($x1 |tptp.'A_n_vec_a_fun$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A$'| (as @|tptp.'A$'|_0 |tptp.'A$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$j'| (($x1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (and (= (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uxx$'| () |tptp.'A_b_vec_a_b_vec_fun$'| (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uuv$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'N$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uminus$c'| () |tptp.'A_a_fun$'| (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$h'| (($x1 |tptp.'N_a_n_vec_n_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uxt$'| () |tptp.'A_a_fun$'| (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$o'| (($x1 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x2)) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'one$'| () |tptp.'A$'| (as @|tptp.'A$'|_0 |tptp.'A$'|))
% 22.43/22.64  (define-fun |tptp.'uve$'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))))
% 22.43/22.64  (define-fun |tptp.'uvy$'| () |tptp.'N_a_n_vec_fun$'| (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'times$d'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uvj$'| (($x1 |tptp.'A_a_b_vec_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'B_a_b_vec_fun$'| (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uvb$'| (($x1 |tptp.'A_b_vec_a_b_vec_fun$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uwa$'| () |tptp.'B_a_fun$'| (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'columnvector$c'| ((BOUND_VARIABLE_124603 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_b_vec_n_vec$'| (as @|tptp.'A_b_vec_b_vec_n_vec$'|_0 |tptp.'A_b_vec_b_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uuq$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'a$'| () |tptp.'A_b_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uvv$'| () |tptp.'N_a_b_vec_n_vec_fun$'| (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$r'| (($x1 |tptp.'A_b_vec_a_fun$'|) ($x2 |tptp.'A_b_vec$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'A_b_vec_a_fun$'|_0 |tptp.'A_b_vec_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_rows$a'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_n_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'map_matrix$i'| ((BOUND_VARIABLE_10824 |tptp.'A_a_b_vec_n_vec_fun$'|) (BOUND_VARIABLE_10825 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10824 (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|)) (= BOUND_VARIABLE_10825 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun tptp.tltrue () tptp.tlbool (as @tptp.tlbool_0 tptp.tlbool))
% 22.43/22.64  (define-fun |tptp.'map_matrix$'| ((BOUND_VARIABLE_10761 |tptp.'A_a_fun$'|) (BOUND_VARIABLE_10762 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10761 (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)) (= BOUND_VARIABLE_10762 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$d'| (($x1 |tptp.'N_a_b_vec_n_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec_n_vec$'| (ite (and (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'row_add$a'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'map_matrix$k'| ((BOUND_VARIABLE_124648 |tptp.'A_a_b_vec_fun$'|) (BOUND_VARIABLE_124650 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_b_vec_n_vec$'| (as @|tptp.'A_b_vec_b_vec_n_vec$'|_0 |tptp.'A_b_vec_b_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'vec_lambda$b'| (($x1 |tptp.'N_a_fun$'|)) |tptp.'A_n_vec$'| (ite (= (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|) $x1) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'vec_nth$d'| (($x1 |tptp.'A_b_vec_b_vec$'|)) |tptp.'B_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'less_eq$'| () |tptp.'N_n_bool_fun_fun$'| (as @|tptp.'N_n_bool_fun_fun$'|_0 |tptp.'N_n_bool_fun_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uun$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'B$'|) ($x4 |tptp.'N$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$ab'| (($x1 |tptp.'A_bool_fun$'|) ($x2 |tptp.'A$'|)) Bool true)
% 22.43/22.64  (define-fun |tptp.'fun_app$ag'| (($x1 |tptp.'N_n_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'N$'| (as @|tptp.'N$'|_0 |tptp.'N$'|))
% 22.43/22.64  (define-fun |tptp.'rowvector$'| ((BOUND_VARIABLE_10934 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10934 (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'thesis$'| () Bool true)
% 22.43/22.64  (define-fun |tptp.'uuf$'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'B_a_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uuw$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$i'| (($x1 |tptp.'B_a_n_vec_fun$'|) ($x2 |tptp.'B$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'B_a_n_vec_fun$'|_1 |tptp.'B_a_n_vec_fun$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2)) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$af'| (($x1 |tptp.'N_a_b_vec_bool_fun_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec_bool_fun$'| (as @|tptp.'A_b_vec_bool_fun$'|_0 |tptp.'A_b_vec_bool_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uwb$'| () |tptp.'N_a_b_vec_n_vec_fun$'| (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'j$'| () |tptp.'B$'| (as @|tptp.'B$'|_0 |tptp.'B$'|))
% 22.43/22.64  (define-fun |tptp.'interchange_rows_row$'| ((BOUND_VARIABLE_10640 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_10641 |tptp.'N$'|) (BOUND_VARIABLE_10642 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (ite (and (= (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10640 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10641 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|))) (= BOUND_VARIABLE_10642 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uvr$'| () |tptp.'N_a_fun$'| (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uwk$'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uug$'| (($x1 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uxs$'| () |tptp.'A_b_vec_a_b_vec_fun$'| (as @|tptp.'A_b_vec_a_b_vec_fun$'|_0 |tptp.'A_b_vec_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uvw$'| () |tptp.'N_a_b_vec_fun$'| (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$v'| (($x1 |tptp.'A_n_vec_a_b_vec_fun$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A_b_vec$'| (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|))
% 22.43/22.64  (define-fun |tptp.'one$b'| () |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uwv$'| (($x1 |tptp.'A_b_vec$'|) ($x2 |tptp.'B$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'vec_nth$g'| (($x1 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'times$c'| (($x1 |tptp.'A$'|)) |tptp.'A_a_fun$'| (ite (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x1) (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$'| (($x1 |tptp.'N_bool_fun$'|) ($x2 |tptp.'N$'|)) Bool (and (= (as @|tptp.'N_bool_fun$'|_1 |tptp.'N_bool_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)))
% 22.43/22.64  (define-fun |tptp.'uxi$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x3)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'map_matrix$b'| ((BOUND_VARIABLE_124704 |tptp.'A_a_b_vec_fun$'|) (BOUND_VARIABLE_124706 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uu$'| () |tptp.'N_bool_fun$'| (as @|tptp.'N_bool_fun$'|_1 |tptp.'N_bool_fun$'|))
% 22.43/22.64  (define-fun |tptp.'times$'| (($x1 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|) (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$t'| (($x1 |tptp.'A_a_b_vec_fun$'|) ($x2 |tptp.'A$'|)) |tptp.'A_b_vec$'| (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|))
% 22.43/22.64  (define-fun |tptp.'uwx$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'vec_lambda$g'| ((BOUND_VARIABLE_124589 |tptp.'N_a_b_vec_b_vec_fun$'|)) |tptp.'A_b_vec_b_vec_n_vec$'| (as @|tptp.'A_b_vec_b_vec_n_vec$'|_0 |tptp.'A_b_vec_b_vec_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'interchange_rows$b'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$s'| (($x1 |tptp.'A_a_n_vec_fun$'|) ($x2 |tptp.'A$'|)) |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|))
% 22.43/22.64  (define-fun |tptp.'divide$'| (($x1 |tptp.'A$'|)) |tptp.'A_a_fun$'| (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uxy$'| () |tptp.'A_a_fun$'| (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|))
% 22.43/22.64  (define-fun |tptp.'columnvector$a'| ((BOUND_VARIABLE_124724 |tptp.'A_b_vec$'|)) |tptp.'A_n_vec_b_vec$'| (as @|tptp.'A_n_vec_b_vec$'|_0 |tptp.'A_n_vec_b_vec$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$m'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|)))
% 22.43/22.64  (define-fun |tptp.'uvd$'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))))
% 22.43/22.64  (define-fun |tptp.'uwz$'| (($x1 |tptp.'A_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uwd$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_n_bool_fun_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_n_bool_fun_fun$'|_0 |tptp.'N_n_bool_fun_fun$'|) (as @|tptp.'N_n_bool_fun_fun$'|_1 |tptp.'N_n_bool_fun_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_rows_row$a'| ((BOUND_VARIABLE_10649 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_10650 |tptp.'N$'|) (BOUND_VARIABLE_10651 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (ite (and (= (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10649 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10650 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|))) (= BOUND_VARIABLE_10651 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'times$a'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'A_n_vec_a_n_vec_fun$'|_0 |tptp.'A_n_vec_a_n_vec_fun$'|) (as @|tptp.'A_n_vec_a_n_vec_fun$'|_1 |tptp.'A_n_vec_a_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uur$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'B$'|) ($x4 |tptp.'B$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uuz$'| (($x1 |tptp.'A_a_b_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$x'| (($x1 |tptp.'A_b_vec_n_vec_bool_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) Bool true)
% 22.43/22.64  (define-fun |tptp.'uwr$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'B_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'interchange_columns$c'| ((BOUND_VARIABLE_10729 |tptp.'A_b_vec_b_vec$'|) (BOUND_VARIABLE_10730 |tptp.'B$'|) (BOUND_VARIABLE_10731 |tptp.'B$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10729 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|)) (= BOUND_VARIABLE_10730 (as @|tptp.'B$'|_0 |tptp.'B$'|)) (= BOUND_VARIABLE_10731 (as @|tptp.'B$'|_0 |tptp.'B$'|))) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uvt$'| () |tptp.'B_a_b_vec_fun$'| (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uuu$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'row_add_row$a'| ((BOUND_VARIABLE_124800 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_124802 |tptp.'N$'|) (BOUND_VARIABLE_124804 |tptp.'N$'|) (BOUND_VARIABLE_124807 |tptp.'A$'|)) |tptp.'N_a_n_vec_fun$'| (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'uvs$'| () |tptp.'N_a_n_vec_fun$'| (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|))
% 22.43/22.64  (define-fun |tptp.'fun_app$u'| (($x1 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.64  (define-fun |tptp.'uxd$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'A$'|) ($x4 |tptp.'B$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x3) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))))
% 22.43/22.64  (define-fun |tptp.'uvc$'| (($x1 |tptp.'A_b_vec_a_b_vec_fun$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'uws$'| (($x1 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_b_vec_fun$'|_0 |tptp.'N_a_b_vec_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_b_vec_fun$'|_1 |tptp.'N_a_b_vec_b_vec_fun$'|)))
% 22.43/22.64  (define-fun |tptp.'fun_app$n'| (($x1 |tptp.'A_a_b_vec_n_vec_fun$'|) ($x2 |tptp.'A$'|)) |tptp.'A_b_vec_n_vec$'| (ite (and (= (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x2)) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'rowvector$c'| ((BOUND_VARIABLE_10952 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (= BOUND_VARIABLE_10952 (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'fun_app$e'| (($x1 |tptp.'B_a_b_vec_fun$'|) ($x2 |tptp.'B$'|)) |tptp.'A_b_vec$'| (ite (and (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2)) (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'mult_row$c'| ((BOUND_VARIABLE_11042 |tptp.'A_b_vec_b_vec$'|) (BOUND_VARIABLE_11043 |tptp.'B$'|) (BOUND_VARIABLE_11044 |tptp.'A$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11042 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|)) (= BOUND_VARIABLE_11043 (as @|tptp.'B$'|_0 |tptp.'B$'|)) (= BOUND_VARIABLE_11044 (as @|tptp.'A$'|_0 |tptp.'A$'|))) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'gauss_Jordan_in_ij$'| ((BOUND_VARIABLE_124856 |tptp.'A_b_vec_n_vec$'|) (BOUND_VARIABLE_124858 |tptp.'N$'|) (BOUND_VARIABLE_124860 |tptp.'B$'|)) |tptp.'A_b_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'columnvector$d'| ((BOUND_VARIABLE_10982 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10982 (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'times$f'| ((BOUND_VARIABLE_11169 |tptp.'A_b_vec_b_vec$'|) (BOUND_VARIABLE_11170 |tptp.'A_b_vec_b_vec$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11169 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|)) (= BOUND_VARIABLE_11170 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|))) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'row_add$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'A_a_b_vec_n_vec_fun$'| (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'uxe$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'A$'|)) |tptp.'B_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x3)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'fun_app$l'| (($x1 |tptp.'N_a_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|)))
% 22.43/22.65  (define-fun |tptp.'uminus$d'| ((BOUND_VARIABLE_10709 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10709 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'one$a'| () |tptp.'A_b_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uxc$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x3)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))))
% 22.43/22.65  (define-fun |tptp.'mult_row_row$a'| ((BOUND_VARIABLE_10623 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_10624 |tptp.'N$'|) (BOUND_VARIABLE_10625 |tptp.'A$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10623 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10624 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10625 (as @|tptp.'A$'|_1 |tptp.'A$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10623 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10624 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10625 (as @|tptp.'A$'|_0 |tptp.'A$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10623 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10624 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10625 (as @|tptp.'A$'|_1 |tptp.'A$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uxv$'| () |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'| (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'interchange_columns_row$a'| ((BOUND_VARIABLE_10667 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_10668 |tptp.'N$'|) (BOUND_VARIABLE_10669 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10667 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10668 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10669 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'row_add$b'| ((BOUND_VARIABLE_124971 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_124972 |tptp.'N$'|) (BOUND_VARIABLE_124973 |tptp.'N$'|) (BOUND_VARIABLE_124974 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uvf$'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A_b_vec_b_vec$'|) ($x3 |tptp.'B$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))))
% 22.43/22.65  (define-fun |tptp.'fun_app$z'| (($x1 |tptp.'A_n_vec_bool_fun$'|) ($x2 |tptp.'A_n_vec$'|)) Bool true)
% 22.43/22.65  (define-fun |tptp.'one$f'| () |tptp.'A_b_vec_b_vec$'| (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uwo$'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'B_a_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'B_a_n_vec_fun$'|_1 |tptp.'B_a_n_vec_fun$'|) (as @|tptp.'B_a_n_vec_fun$'|_0 |tptp.'B_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'mult_row_row$b'| ((BOUND_VARIABLE_10631 |tptp.'A_b_vec_n_vec$'|) (BOUND_VARIABLE_10632 |tptp.'N$'|) (BOUND_VARIABLE_10633 |tptp.'A$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (ite (and (= (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10631 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (= BOUND_VARIABLE_10632 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|) (as @|tptp.'A_a_b_vec_n_vec_fun$'|_1 |tptp.'A_a_b_vec_n_vec_fun$'|))) (= BOUND_VARIABLE_10633 (as @|tptp.'A$'|_0 |tptp.'A$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'zero$'| () |tptp.'A$'| (as @|tptp.'A$'|_1 |tptp.'A$'|))
% 22.43/22.65  (define-fun |tptp.'interchange_A$'| () |tptp.'A_b_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uwt$'| (($x1 |tptp.'A_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'columnvector$e'| ((BOUND_VARIABLE_10988 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (= BOUND_VARIABLE_10988 (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uvx$'| () |tptp.'N_a_fun$'| (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|))
% 22.43/22.65  (define-fun |tptp.'uvl$'| (($x1 |tptp.'A_b_vec_a_fun$'|) ($x2 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_a_fun$'|_0 |tptp.'A_b_vec_a_fun$'|) $x1) (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.65  (define-fun tptp.tlfalse () tptp.tlbool (as @tptp.tlbool_1 tptp.tlbool))
% 22.43/22.65  (define-fun |tptp.'fun_app$b'| (($x1 |tptp.'N_a_b_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec$'| (ite (and (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'mult_row$a'| ((BOUND_VARIABLE_11034 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_11035 |tptp.'N$'|) (BOUND_VARIABLE_11036 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11034 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11035 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_11036 (as @|tptp.'A$'|_1 |tptp.'A$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11034 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11035 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_11036 (as @|tptp.'A$'|_0 |tptp.'A$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_11034 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_11035 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_11036 (as @|tptp.'A$'|_1 |tptp.'A$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uxb$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A$'|) ($x4 |tptp.'N$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))))
% 22.43/22.65  (define-fun |tptp.'uwe$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'vec_nth$'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'B_a_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uminus$'| ((BOUND_VARIABLE_10715 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (= BOUND_VARIABLE_10715 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'map_matrix$j'| ((BOUND_VARIABLE_10789 |tptp.'A_a_fun$'|) (BOUND_VARIABLE_10790 |tptp.'A_b_vec_b_vec$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10789 (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)) (= BOUND_VARIABLE_10790 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|))) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'zero$a'| () |tptp.'A_b_vec_n_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'fun_app$c'| (($x1 |tptp.'N_n_bool_fun_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'N_bool_fun$'| (ite (and (= (as @|tptp.'N_n_bool_fun_fun$'|_0 |tptp.'N_n_bool_fun_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_bool_fun$'|_1 |tptp.'N_bool_fun$'|) (as @|tptp.'N_bool_fun$'|_0 |tptp.'N_bool_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uwu$'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'mult_row$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'A_a_b_vec_n_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_a_b_vec_n_vec_fun$'|_0 |tptp.'A_a_b_vec_n_vec_fun$'|) (as @|tptp.'A_a_b_vec_n_vec_fun$'|_1 |tptp.'A_a_b_vec_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uxn$'| (($x1 |tptp.'A_b_vec$'|) ($x2 |tptp.'A_b_vec$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x1) (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x2)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x1) (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x2)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x1) (= (as @|tptp.'A_b_vec$'|_1 |tptp.'A_b_vec$'|) $x2)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))))
% 22.43/22.65  (define-fun |tptp.'uwp$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uminus$b'| () |tptp.'A_b_vec_a_b_vec_fun$'| (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'uuj$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'B$'|) ($x4 |tptp.'B$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uxk$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'A_b_vec_b_vec$'|)) |tptp.'B_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x2)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'gauss_Jordan_in_ij$a'| ((BOUND_VARIABLE_125095 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_125097 |tptp.'N$'|) (BOUND_VARIABLE_125099 |tptp.'N$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uww$'| (($x1 |tptp.'A_b_vec$'|)) |tptp.'B_a_b_vec_fun$'| (ite (= (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|) $x1) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'interchange_columns$b'| ((BOUND_VARIABLE_10745 |tptp.'A_b_vec_n_vec$'|) (BOUND_VARIABLE_10746 |tptp.'B$'|) (BOUND_VARIABLE_10747 |tptp.'B$'|)) |tptp.'A_b_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10745 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (= BOUND_VARIABLE_10746 (as @|tptp.'B$'|_0 |tptp.'B$'|)) (= BOUND_VARIABLE_10747 (as @|tptp.'B$'|_0 |tptp.'B$'|))) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uuo$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'B$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'vec_nth$e'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'N_a_fun$'| (ite (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'map_matrix$f'| ((BOUND_VARIABLE_10775 |tptp.'A_b_vec_a_b_vec_fun$'|) (BOUND_VARIABLE_10776 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10775 (as @|tptp.'A_b_vec_a_b_vec_fun$'|_1 |tptp.'A_b_vec_a_b_vec_fun$'|)) (= BOUND_VARIABLE_10776 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'interchange_columns$'| ((BOUND_VARIABLE_10721 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_10722 |tptp.'N$'|) (BOUND_VARIABLE_10723 |tptp.'N$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10721 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10722 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10723 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uut$'| (($x1 |tptp.'A_b_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'N$'|)) |tptp.'N_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uminus$a'| ((BOUND_VARIABLE_10703 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec$'| (ite (= (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|) (ite (= BOUND_VARIABLE_10703 (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|))) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'fun_app$y'| (($x1 |tptp.'N_a_b_vec_n_vec_bool_fun_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_b_vec_n_vec_bool_fun$'| (as @|tptp.'A_b_vec_n_vec_bool_fun$'|_0 |tptp.'A_b_vec_n_vec_bool_fun$'|))
% 22.43/22.65  (define-fun |tptp.'uuh$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'N$'|)) |tptp.'N_a_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'N_a_fun$'|_1 |tptp.'N_a_fun$'|) (as @|tptp.'N_a_fun$'|_0 |tptp.'N_a_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uwh$'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'N_a_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'vec_lambda$h'| (($x1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|)) |tptp.'A_b_vec_n_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_n_vec_fun$'|) $x1) (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uxr$'| () |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'| (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_1 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'vec_nth$f'| (($x1 |tptp.'A_n_vec_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uxa$'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'N_a_b_vec_fun$'| (ite (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_fun$'|_0 |tptp.'N_a_b_vec_fun$'|) (as @|tptp.'N_a_b_vec_fun$'|_1 |tptp.'N_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'mult_row_row$'| ((BOUND_VARIABLE_10615 |tptp.'A_b_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_10616 |tptp.'N$'|) (BOUND_VARIABLE_10617 |tptp.'A_b_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10615 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|)) (= BOUND_VARIABLE_10616 (as @|tptp.'N$'|_0 |tptp.'N$'|)) (= BOUND_VARIABLE_10617 (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|))) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uxq$'| () |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'| (as @|tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'uui$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|)) |tptp.'N_a_n_vec_fun$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x3)) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'fun_app$aa'| (($x1 |tptp.'N_a_n_vec_bool_fun_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_n_vec_bool_fun$'| (as @|tptp.'A_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_bool_fun$'|))
% 22.43/22.65  (define-fun |tptp.'rowvector$a'| ((BOUND_VARIABLE_10940 |tptp.'A_b_vec$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (= BOUND_VARIABLE_10940 (as @|tptp.'A_b_vec$'|_0 |tptp.'A_b_vec$'|)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'map_matrix$c'| ((BOUND_VARIABLE_10810 |tptp.'A_b_vec_a_fun$'|) (BOUND_VARIABLE_10811 |tptp.'A_b_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10810 (as @|tptp.'A_b_vec_a_fun$'|_0 |tptp.'A_b_vec_a_fun$'|)) (= BOUND_VARIABLE_10811 (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|))) (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_fun$'|_1 |tptp.'N_a_n_vec_fun$'|))) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uus$'| (($x1 |tptp.'A_b_vec_b_vec$'|) ($x2 |tptp.'B$'|) ($x3 |tptp.'B$'|)) |tptp.'B_a_b_vec_fun$'| (ite (and (= (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) $x1) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x2) (= (as @|tptp.'B$'|_0 |tptp.'B$'|) $x3)) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'zero$f'| () |tptp.'A_b_vec_b_vec$'| (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|))
% 22.43/22.65  (define-fun |tptp.'map_matrix$g'| (($x1 |tptp.'A_n_vec_a_b_vec_fun$'|) ($x2 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'map_matrix$d'| ((BOUND_VARIABLE_125249 |tptp.'A_n_vec_a_fun$'|) (BOUND_VARIABLE_125251 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uwj$'| (($x1 |tptp.'A_b_vec_n_vec$'|)) |tptp.'N_a_b_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'vec_lambda$c'| (($x1 |tptp.'B_a_b_vec_fun$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) $x1) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'uwq$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'N_a_n_vec_n_vec_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|) (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|)))
% 22.43/22.65  (define-fun |tptp.'uxh$'| (($x1 |tptp.'A_b_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A$'|) ($x4 |tptp.'N$'|)) |tptp.'B_a_fun$'| (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (ite (and (= (as @|tptp.'A_b_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x4)) (as @|tptp.'B_a_fun$'|_1 |tptp.'B_a_fun$'|) (as @|tptp.'B_a_fun$'|_0 |tptp.'B_a_fun$'|)))))
% 22.43/22.65  (define-fun |tptp.'columnvector$f'| ((BOUND_VARIABLE_10994 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A_b_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (ite (= BOUND_VARIABLE_10994 (as @|tptp.'A_b_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec$'|)) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_1 |tptp.'N_a_b_vec_n_vec_fun$'|) (as @|tptp.'N_a_b_vec_n_vec_fun$'|_0 |tptp.'N_a_b_vec_n_vec_fun$'|))) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_0 |tptp.'A_b_vec_n_vec_n_vec$'|) (as @|tptp.'A_b_vec_n_vec_n_vec$'|_1 |tptp.'A_b_vec_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'fun_app$ac'| (($x1 |tptp.'N_a_bool_fun_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_bool_fun$'| (as @|tptp.'A_bool_fun$'|_0 |tptp.'A_bool_fun$'|))
% 22.43/22.65  (define-fun |tptp.'one$e'| () |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
% 22.43/22.65  (define-fun |tptp.'uxw$'| () |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'| (as @|tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|_0 |tptp.'A_b_vec_n_vec_a_b_vec_n_vec_fun$'|))
% 22.43/22.65  (define-fun |tptp.'vec_lambda$d'| (($x1 |tptp.'N_a_n_vec_fun$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'N_a_n_vec_fun$'|_0 |tptp.'N_a_n_vec_fun$'|) $x1) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)))
% 22.43/22.65  (define-fun |tptp.'fun_app$w'| (($x1 |tptp.'A_b_vec_n_vec_a_fun$'|) ($x2 |tptp.'A_b_vec_n_vec$'|)) |tptp.'A$'| (as @|tptp.'A$'|_0 |tptp.'A$'|))
% 22.43/22.65  (define-fun |tptp.'interchange_rows$c'| ((BOUND_VARIABLE_10753 |tptp.'A_b_vec_b_vec$'|) (BOUND_VARIABLE_10754 |tptp.'B$'|) (BOUND_VARIABLE_10755 |tptp.'B$'|)) |tptp.'A_b_vec_b_vec$'| (ite (= (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (ite (and (= BOUND_VARIABLE_10753 (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|)) (= BOUND_VARIABLE_10754 (as @|tptp.'B$'|_0 |tptp.'B$'|)) (= BOUND_VARIABLE_10755 (as @|tptp.'B$'|_0 |tptp.'B$'|))) (as @|tptp.'B_a_b_vec_fun$'|_1 |tptp.'B_a_b_vec_fun$'|) (as @|tptp.'B_a_b_vec_fun$'|_0 |tptp.'B_a_b_vec_fun$'|))) (as @|tptp.'A_b_vec_b_vec$'|_0 |tptp.'A_b_vec_b_vec$'|) (as @|tptp.'A_b_vec_b_vec$'|_1 |tptp.'A_b_vec_b_vec$'|)))
% 22.43/22.65  )
% 22.43/22.65  % SZS output end FiniteModel for /export/starexec/sandbox2/tmp/tmp.i03NZ9NuzE/cvc5---1.0.5_17733.smt2
% 22.43/22.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------