0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 SAT
0.13/0.33	% Computer : n031.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit : 960
0.13/0.33	% WCLimit  : 120
0.13/0.33	% DateTime : Fri Sep  5 09:13:07 EDT 2025
0.13/0.34	% CPUTime  : 
0.48/0.63	%----Disproving TF0_NAR
0.48/0.65	--- Run --finite-model-find --sort-inference --uf-ss-fair at 24...
0.48/0.67	--- Run --mbqi at 18...
18.53/18.79	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 18...
36.72/36.91	--- Run --full-saturate-quant at 18...
54.79/55.03	--- Run --finite-model-find --fmf-bound --macros-quant at 24...
70.20/70.46	% SZS status Satisfiable
70.20/70.46	% SZS output start Model
70.20/70.46	(
70.20/70.46	; cardinality of $$unsorted is 1
70.20/70.46	; rep: (as @$$unsorted_0 $$unsorted)
70.20/70.46	; cardinality of |tptp.'A_n_vec_n_vec_set_set$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_set_set$'|_0 |tptp.'A_n_vec_n_vec_set_set$'|)
70.20/70.46	; cardinality of |tptp.'A_set_set$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_set_set$'|_0 |tptp.'A_set_set$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_set$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_n_vec_set$'|_0 |tptp.'A_n_vec_set$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_n_vec_bool_fun$'| is 3
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_n_vec$'| is 2
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)
70.20/70.46	; cardinality of |tptp.'Nat$'| is 1
70.20/70.46	; rep: (as @|tptp.'Nat$'|_0 |tptp.'Nat$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_n_vec_set$'| is 3
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|)
70.20/70.46	; cardinality of |tptp.'N$'| is 1
70.20/70.46	; rep: (as @|tptp.'N$'|_0 |tptp.'N$'|)
70.20/70.46	; cardinality of |tptp.'Num$'| is 1
70.20/70.46	; rep: (as @|tptp.'Num$'|_0 |tptp.'Num$'|)
70.20/70.46	; cardinality of |tptp.'Num_set$'| is 1
70.20/70.46	; rep: (as @|tptp.'Num_set$'|_0 |tptp.'Num_set$'|)
70.20/70.46	; cardinality of tptp.tlbool is 2
70.20/70.46	; rep: (as @tptp.tlbool_1 tptp.tlbool)
70.20/70.46	; rep: (as @tptp.tlbool_0 tptp.tlbool)
70.20/70.46	; cardinality of |tptp.'A_bool_fun$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_bool_fun$'|_0 |tptp.'A_bool_fun$'|)
70.20/70.46	; cardinality of |tptp.'A_set$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_set$'|_0 |tptp.'A_set$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_set_set$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_n_vec_set_set$'|_0 |tptp.'A_n_vec_set_set$'|)
70.20/70.46	; cardinality of |tptp.'A$'| is 2
70.20/70.46	; rep: (as @|tptp.'A$'|_1 |tptp.'A$'|)
70.20/70.46	; rep: (as @|tptp.'A$'|_0 |tptp.'A$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec$'| is 2
70.20/70.46	; rep: (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|)
70.20/70.46	; cardinality of |tptp.'A_a_fun$'| is 2
70.20/70.46	; rep: (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)
70.20/70.46	; rep: (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_n_vec_n_vec$'| is 2
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|)
70.20/70.46	; rep: (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|)
70.20/70.46	; cardinality of |tptp.'A_n_vec_bool_fun$'| is 1
70.20/70.46	; rep: (as @|tptp.'A_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_bool_fun$'|)
70.20/70.46	; cardinality of |tptp.'N_a_n_vec_n_vec_fun$'| is 2
70.20/70.46	; rep: (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|)
70.20/70.46	; rep: (as @|tptp.'N_a_n_vec_n_vec_fun$'|_1 |tptp.'N_a_n_vec_n_vec_fun$'|)
70.20/70.46	(define-fun |tptp.'numeral$a'| (($x1 |tptp.'Num$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'uu$'| (($x1 |tptp.'A_set$'|)) |tptp.'A_bool_fun$'| (as @|tptp.'A_bool_fun$'|_0 |tptp.'A_bool_fun$'|))
70.20/70.46	(define-fun |tptp.'dbl_inc$a'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|))
70.20/70.46	(define-fun |tptp.'member$f'| (($x1 |tptp.'A_n_vec_set$'|) ($x2 |tptp.'A_n_vec_set_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'mat$'| (($x1 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x1) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'dbl_inc$'| ((BOUND_VARIABLE_4552 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) (ite (and (= BOUND_VARIABLE_4552 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_4552 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (ite (and (= BOUND_VARIABLE_4552 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (= BOUND_VARIABLE_4552 (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.'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.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'uub$'| (($x1 |tptp.'A_n_vec_set$'|)) |tptp.'A_n_vec_bool_fun$'| (as @|tptp.'A_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_bool_fun$'|))
70.20/70.46	(define-fun |tptp.'invertible$'| () |tptp.'A_n_vec_n_vec_bool_fun$'| (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|))
70.20/70.46	(define-fun |tptp.'matrix_vector_mult$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_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$'|)))
70.20/70.46	(define-fun |tptp.'times$d'| (($x1 |tptp.'A_n_vec_set$'|) ($x2 |tptp.'A_n_vec_set$'|)) |tptp.'A_n_vec_set$'| (as @|tptp.'A_n_vec_set$'|_0 |tptp.'A_n_vec_set$'|))
70.20/70.46	(define-fun |tptp.'vector_matrix_mult$a'| ((BOUND_VARIABLE_4576 |tptp.'A_n_vec$'|) (BOUND_VARIABLE_4577 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (ite (= BOUND_VARIABLE_4577 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (= BOUND_VARIABLE_4576 (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|))) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'axis$'| (($x1 |tptp.'N$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x1) (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'columnvector$'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'gauss_Jordan$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'plus$g'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))))
70.20/70.46	(define-fun |tptp.'member$'| ((BOUND_VARIABLE_4537 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_4538 |tptp.'A_n_vec_n_vec_set$'|)) Bool (or (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|)))) (= BOUND_VARIABLE_4537 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|)))) (= BOUND_VARIABLE_4537 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))) (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|)))) (= BOUND_VARIABLE_4537 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= BOUND_VARIABLE_4538 (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|)) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|)))) (= BOUND_VARIABLE_4537 (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))))
70.20/70.46	(define-fun |tptp.'zero$d'| () |tptp.'A_set$'| (as @|tptp.'A_set$'|_0 |tptp.'A_set$'|))
70.20/70.46	(define-fun |tptp.'times$g'| (($x1 |tptp.'Num$'|) ($x2 |tptp.'Num$'|)) |tptp.'Num$'| (as @|tptp.'Num$'|_0 |tptp.'Num$'|))
70.20/70.46	(define-fun |tptp.'collect$a'| (($x1 |tptp.'A_n_vec_n_vec_bool_fun$'|)) |tptp.'A_n_vec_n_vec_set$'| (ite (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) $x1) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) $x1) (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|))))
70.20/70.46	(define-fun |tptp.'zero$c'| () |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|))
70.20/70.46	(define-fun |tptp.'axis$a'| (($x1 |tptp.'N$'|) ($x2 |tptp.'A$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x1) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x2)) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'plus$c'| (($x1 |tptp.'A_n_vec_n_vec_set_set$'|) ($x2 |tptp.'A_n_vec_n_vec_set_set$'|)) |tptp.'A_n_vec_n_vec_set_set$'| (as @|tptp.'A_n_vec_n_vec_set_set$'|_0 |tptp.'A_n_vec_n_vec_set_set$'|))
70.20/70.46	(define-fun |tptp.'plus$i'| (($x1 |tptp.'A_n_vec_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|))))
70.20/70.46	(define-fun |tptp.'vec$a'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'member$e'| (($x1 |tptp.'A_n_vec_n_vec_set$'|) ($x2 |tptp.'A_n_vec_n_vec_set_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'zero$f'| () |tptp.'A_n_vec_set$'| (as @|tptp.'A_n_vec_set$'|_0 |tptp.'A_n_vec_set$'|))
70.20/70.46	(define-fun |tptp.'times$a'| (($x1 |tptp.'A_n_vec$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_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$'|)))
70.20/70.46	(define-fun |tptp.'times$'| (($x1 |tptp.'A$'|) ($x2 |tptp.'A$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x1) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (ite (and (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x1) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (ite (and (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x1) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|)))))
70.20/70.46	(define-fun |tptp.'member$d'| (($x1 |tptp.'Num$'|) ($x2 |tptp.'Num_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'collect$'| (($x1 |tptp.'A_bool_fun$'|)) |tptp.'A_set$'| (as @|tptp.'A_set$'|_0 |tptp.'A_set$'|))
70.20/70.46	(define-fun |tptp.'one$'| () |tptp.'A$'| (as @|tptp.'A$'|_1 |tptp.'A$'|))
70.20/70.46	(define-fun |tptp.'zero$b'| () |tptp.'A_n_vec_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'matrix_inv$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'member$b'| ((BOUND_VARIABLE_53321 |tptp.'A$'|) (BOUND_VARIABLE_53323 |tptp.'A_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'equivalent_matrices$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_bool_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|)))
70.20/70.46	(define-fun |tptp.'fun_app$b'| (($x1 |tptp.'A_bool_fun$'|) ($x2 |tptp.'A$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'plus$a'| (($x1 |tptp.'A_set_set$'|) ($x2 |tptp.'A_set_set$'|)) |tptp.'A_set_set$'| (as @|tptp.'A_set_set$'|_0 |tptp.'A_set_set$'|))
70.20/70.46	(define-fun |tptp.'plus$'| (($x1 |tptp.'A_set$'|) ($x2 |tptp.'A_set$'|)) |tptp.'A_set$'| (as @|tptp.'A_set$'|_0 |tptp.'A_set$'|))
70.20/70.46	(define-fun tptp.tltrue () tptp.tlbool (as @tptp.tlbool_1 tptp.tlbool))
70.20/70.46	(define-fun |tptp.'plus$h'| (($x1 |tptp.'A$'|) ($x2 |tptp.'A$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x1) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (ite (and (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x1) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|))))
70.20/70.46	(define-fun |tptp.'one$b'| () |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'row_add$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'numeral$'| (($x1 |tptp.'Num$'|)) |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|))
70.20/70.46	(define-fun |tptp.'rowvector$'| ((BOUND_VARIABLE_53335 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'gauss_Jordan_upt_k$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'Nat$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'Nat$'|_0 |tptp.'Nat$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'mat$a'| (($x1 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'collect$b'| (($x1 |tptp.'A_n_vec_bool_fun$'|)) |tptp.'A_n_vec_set$'| (as @|tptp.'A_n_vec_set$'|_0 |tptp.'A_n_vec_set$'|))
70.20/70.46	(define-fun |tptp.'less_eq$'| (($x1 |tptp.'A_n_vec_set$'|) ($x2 |tptp.'A_n_vec_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'a$'| () |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'mult_column$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (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$'|) $x3)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'column_add$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'N$'|) ($x4 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'fun_app$a'| ((BOUND_VARIABLE_53358 |tptp.'A_n_vec_bool_fun$'|) (BOUND_VARIABLE_53360 |tptp.'A_n_vec$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'invertible$a'| (($x1 |tptp.'A_n_vec_n_vec_n_vec$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'reduced_row_echelon_form$'| () |tptp.'A_n_vec_n_vec_bool_fun$'| (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|))
70.20/70.46	(define-fun |tptp.'plus$b'| (($x1 |tptp.'A_n_vec_n_vec_set$'|) ($x2 |tptp.'A_n_vec_n_vec_set$'|)) |tptp.'A_n_vec_n_vec_set$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|))))))
70.20/70.46	(define-fun |tptp.'one$a'| () |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|))
70.20/70.46	(define-fun |tptp.'divide$'| (($x1 |tptp.'A$'|)) |tptp.'A_a_fun$'| (ite (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x1) (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) (as @|tptp.'A_a_fun$'|_1 |tptp.'A_a_fun$'|)))
70.20/70.46	(define-fun |tptp.'zero$a'| () |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'matrix_matrix_mult$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'transpose$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'orthogonal_matrix$'| () |tptp.'A_n_vec_n_vec_bool_fun$'| (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|))
70.20/70.46	(define-fun |tptp.'fun_app$d'| (($x1 |tptp.'A_a_fun$'|) ($x2 |tptp.'A$'|)) |tptp.'A$'| (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A$'|_0 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |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$'|) (ite (and (= (as @|tptp.'A_a_fun$'|_0 |tptp.'A_a_fun$'|) $x1) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x2)) (as @|tptp.'A$'|_0 |tptp.'A$'|) (as @|tptp.'A$'|_1 |tptp.'A$'|)))))
70.20/70.46	(define-fun |tptp.'uua$'| (($x1 |tptp.'A_n_vec_n_vec_set$'|)) |tptp.'A_n_vec_n_vec_bool_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (ite (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|))))
70.20/70.46	(define-fun |tptp.'matrix_vector_mult$a'| ((BOUND_VARIABLE_4598 |tptp.'A_n_vec_n_vec_n_vec$'|) (BOUND_VARIABLE_4599 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= BOUND_VARIABLE_4599 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) (ite (= BOUND_VARIABLE_4598 (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |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$'|) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|)))) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'column$'| (($x1 |tptp.'N$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec$'| (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|))
70.20/70.46	(define-fun |tptp.'vec$'| (($x1 |tptp.'A$'|)) |tptp.'A_n_vec$'| (ite (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x1) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'times$b'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'one$c'| () |tptp.'A_set$'| (as @|tptp.'A_set$'|_0 |tptp.'A_set$'|))
70.20/70.46	(define-fun |tptp.'zero$'| () |tptp.'A$'| (as @|tptp.'A$'|_0 |tptp.'A$'|))
70.20/70.46	(define-fun |tptp.'plus$d'| (($x1 |tptp.'A_n_vec$'|) ($x2 |tptp.'A_n_vec$'|)) |tptp.'A_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (ite (and (= (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|) $x2)) (as @|tptp.'A_n_vec$'|_0 |tptp.'A_n_vec$'|) (as @|tptp.'A_n_vec$'|_1 |tptp.'A_n_vec$'|))))
70.20/70.46	(define-fun |tptp.'fun_app$c'| (($x1 |tptp.'N_a_n_vec_n_vec_fun$'|) ($x2 |tptp.'N$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun tptp.tlfalse () tptp.tlbool (as @tptp.tlbool_0 tptp.tlbool))
70.20/70.46	(define-fun |tptp.'numeral$b'| (($x1 |tptp.'Num$'|)) |tptp.'A$'| (as @|tptp.'A$'|_1 |tptp.'A$'|))
70.20/70.46	(define-fun |tptp.'zero$e'| () |tptp.'A_n_vec_n_vec_set$'| (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|))
70.20/70.46	(define-fun |tptp.'plus$e'| (($x1 |tptp.'A_n_vec_set$'|) ($x2 |tptp.'A_n_vec_set$'|)) |tptp.'A_n_vec_set$'| (as @|tptp.'A_n_vec_set$'|_0 |tptp.'A_n_vec_set$'|))
70.20/70.46	(define-fun |tptp.'times$h'| (($x1 |tptp.'Num_set$'|) ($x2 |tptp.'Num_set$'|)) |tptp.'Num_set$'| (as @|tptp.'Num_set$'|_0 |tptp.'Num_set$'|))
70.20/70.46	(define-fun |tptp.'less_eq$a'| (($x1 |tptp.'A_n_vec_n_vec_set$'|) ($x2 |tptp.'A_n_vec_n_vec_set$'|)) Bool (or (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x2))))
70.20/70.46	(define-fun |tptp.'similar_matrices$'| (($x1 |tptp.'A_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_bool_fun$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|)))
70.20/70.46	(define-fun |tptp.'transpose$a'| (($x1 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) $x1) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'less_eq$b'| (($x1 |tptp.'A_set$'|) ($x2 |tptp.'A_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'member$c'| (($x1 |tptp.'A_set$'|) ($x2 |tptp.'A_set_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'member$a'| (($x1 |tptp.'A_n_vec$'|) ($x2 |tptp.'A_n_vec_set$'|)) Bool false)
70.20/70.46	(define-fun |tptp.'times$c'| (($x1 |tptp.'A_set$'|) ($x2 |tptp.'A_set$'|)) |tptp.'A_set$'| (as @|tptp.'A_set$'|_0 |tptp.'A_set$'|))
70.20/70.46	(define-fun |tptp.'interchange_columns$'| ((BOUND_VARIABLE_4409 |tptp.'A_n_vec_n_vec$'|) (BOUND_VARIABLE_4410 |tptp.'N$'|) (BOUND_VARIABLE_4411 |tptp.'N$'|)) |tptp.'A_n_vec_n_vec$'| (ite (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (ite (and (= (as @|tptp.'N_a_n_vec_n_vec_fun$'|_0 |tptp.'N_a_n_vec_n_vec_fun$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (ite (= BOUND_VARIABLE_4409 (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (= BOUND_VARIABLE_4410 (as @|tptp.'N$'|_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$'|))) (= BOUND_VARIABLE_4411 (as @|tptp.'N$'|_0 |tptp.'N$'|))) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|))) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'fun_app$'| (($x1 |tptp.'A_n_vec_n_vec_bool_fun$'|) ($x2 |tptp.'A_n_vec_n_vec$'|)) Bool (or (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_1 |tptp.'A_n_vec_n_vec_bool_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_2 |tptp.'A_n_vec_n_vec_bool_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2)) (and (= (as @|tptp.'A_n_vec_n_vec_bool_fun$'|_0 |tptp.'A_n_vec_n_vec_bool_fun$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|) $x2))))
70.20/70.46	(define-fun |tptp.'vector_matrix_mult$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'mult_row$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|) ($x3 |tptp.'A$'|)) |tptp.'A_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) $x1) (= (as @|tptp.'N$'|_0 |tptp.'N$'|) $x2) (= (as @|tptp.'A$'|_1 |tptp.'A$'|) $x3)) (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'matrix_matrix_mult$a'| (($x1 |tptp.'A_n_vec_n_vec_n_vec$'|) ($x2 |tptp.'A_n_vec_n_vec_n_vec$'|)) |tptp.'A_n_vec_n_vec_n_vec$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec_n_vec$'|) (as @|tptp.'A_n_vec_n_vec_n_vec$'|_1 |tptp.'A_n_vec_n_vec_n_vec$'|)))
70.20/70.46	(define-fun |tptp.'dbl_inc$b'| (($x1 |tptp.'A$'|)) |tptp.'A$'| (as @|tptp.'A$'|_1 |tptp.'A$'|))
70.20/70.46	(define-fun |tptp.'interchange_rows$'| (($x1 |tptp.'A_n_vec_n_vec$'|) ($x2 |tptp.'N$'|)) |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$'|)))
70.20/70.46	(define-fun |tptp.'times$e'| (($x1 |tptp.'A_n_vec_n_vec_set$'|) ($x2 |tptp.'A_n_vec_n_vec_set$'|)) |tptp.'A_n_vec_n_vec_set$'| (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_0 |tptp.'A_n_vec_n_vec_set$'|) (ite (and (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x1) (= (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) $x2)) (as @|tptp.'A_n_vec_n_vec_set$'|_1 |tptp.'A_n_vec_n_vec_set$'|) (as @|tptp.'A_n_vec_n_vec_set$'|_2 |tptp.'A_n_vec_n_vec_set$'|))))))))
70.20/70.46	(define-fun |tptp.'times$f'| (($x1 |tptp.'A_set_set$'|) ($x2 |tptp.'A_set_set$'|)) |tptp.'A_set_set$'| (as @|tptp.'A_set_set$'|_0 |tptp.'A_set_set$'|))
70.20/70.46	(define-fun |tptp.'p$'| () |tptp.'A_n_vec_n_vec$'| (as @|tptp.'A_n_vec_n_vec$'|_0 |tptp.'A_n_vec_n_vec$'|))
70.20/70.46	(define-fun |tptp.'plus$f'| (($x1 |tptp.'A_n_vec_set_set$'|) ($x2 |tptp.'A_n_vec_set_set$'|)) |tptp.'A_n_vec_set_set$'| (as @|tptp.'A_n_vec_set_set$'|_0 |tptp.'A_n_vec_set_set$'|))
70.20/70.46	)
70.20/70.47	% SZS output end Model
70.20/70.47	% cvc5 exiting
70.20/70.47	EOF