TSTP Solution File: NUM925+5 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n015.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  : 600s
% DateTime : Mon Jul 18 08:49:49 EDT 2022

% Result   : Theorem 6.80s 2.22s
% Output   : Proof 12.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 17:25:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.52/0.59          ____       _                          
% 0.52/0.59    ___  / __ \_____(_)___  ________  __________
% 0.52/0.59   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.59  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.52/0.59  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.52/0.59  
% 0.52/0.59  A Theorem Prover for First-Order Logic
% 0.52/0.59  (ePrincess v.1.0)
% 0.52/0.59  
% 0.52/0.59  (c) Philipp Rümmer, 2009-2015
% 0.52/0.59  (c) Peter Backeman, 2014-2015
% 0.52/0.59  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.59  Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.59  Bug reports to peter@backeman.se
% 0.52/0.59  
% 0.52/0.59  For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.59  
% 0.52/0.59  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.38/1.10  Prover 0: Preprocessing ...
% 5.22/1.79  Prover 0: Warning: ignoring some quantifiers
% 5.37/1.83  Prover 0: Constructing countermodel ...
% 6.80/2.22  Prover 0: proved (1577ms)
% 6.80/2.22  
% 6.80/2.22  No countermodel exists, formula is valid
% 6.80/2.22  % SZS status Theorem for theBenchmark
% 6.80/2.22  
% 6.80/2.22  Generating proof ... Warning: ignoring some quantifiers
% 11.47/3.22  found it (size 44)
% 11.47/3.22  
% 11.47/3.22  % SZS output start Proof for theBenchmark
% 11.47/3.22  Assumed formulas after preprocessing and simplification: 
% 11.47/3.22  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ( ~ (v0 = pls) & power_power(int, v2, v5) = pls & semiring_1_of_nat(int, v9) = v0 & semiring_1_of_nat(int, v8) = pls & semiring_1_of_nat(int, n) = v1 & number_number_of(nat, v6) = v7 & number_number_of(nat, v4) = v5 & number_number_of(nat, v3) = v9 & number_number_of(nat, pls) = v8 & number_number_of(int, v3) = v0 & number_number_of(int, pls) = pls & bit1(pls) = v3 & bit0(v4) = v6 & bit0(v3) = v4 & bit0(pls) = pls & zero_zero(nat) = v8 & zero_zero(int) = pls & plus_plus(nat, v9, v9) = v5 & plus_plus(int, v0, v1) = v2 & one_one(nat) = v9 & one_one(int) = v0 & ti(nat, n) = n & ti(int, t) = t & ti(int, pls) = pls & ring_char_0(int) & number_ring(int) & ring_11004092258visors(int) & semiring_1(nat) & semiring_1(int) & ord_less(nat, v8, n) & ord_less(int, v0, t) & ord_less(int, pls, v2) & ord_less(int, pls, v0) & linordered_idom(int) & number(nat) & number(int) & zero_neq_one(nat) & zero_neq_one(int) & no_zero_divisors(nat) & no_zero_divisors(int) & mult_zero(nat) & mult_zero(int) & number_semiring(nat) & number_semiring(int) & linord219039673up_add(int) & semiring_0(nat) & semiring_0(int) & power(nat) & power(int) &  ~ ord_less(int, pls, pls) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (number_number_of(v10, v12) = v15) |  ~ (number_number_of(v10, v11) = v14) |  ~ (plus_plus(v10, v15, v13) = v16) |  ~ (plus_plus(v10, v14, v16) = v17) |  ~ number_ring(v10) |  ? [v18] :  ? [v19] : (number_number_of(v10, v18) = v19 & plus_plus(v10, v19, v13) = v17 & plus_plus(int, v11, v12) = v18)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v11 |  ~ (power_power(v10, v13, v5) = v15) |  ~ (power_power(v10, v12, v5) = v14) |  ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v14, v15) = v16) |  ~ linordered_idom(v10) |  ? [v17] :  ? [v18] : (ti(v10, v13) = v18 & ti(v10, v12) = v17 & ( ~ (v18 = v11) |  ~ (v17 = v11)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (power_power(v10, v13, v5) = v15) |  ~ (power_power(v10, v12, v5) = v14) |  ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v14, v15) = v16) |  ~ ord_less(v10, v11, v16) |  ~ linordered_idom(v10) |  ? [v17] :  ? [v18] : (ti(v10, v13) = v18 & ti(v10, v12) = v17 & ( ~ (v18 = v11) |  ~ (v17 = v11)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (power_power(v10, v13, v5) = v15) |  ~ (power_power(v10, v12, v5) = v14) |  ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v14, v15) = v16) |  ~ linordered_idom(v10) | ord_less(v10, v11, v16) | (ti(v10, v13) = v11 & ti(v10, v12) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (semiring_1_of_nat(int, v11) = v14) |  ~ (semiring_1_of_nat(int, v10) = v13) |  ~ (plus_plus(int, v14, v12) = v15) |  ~ (plus_plus(int, v13, v15) = v16) |  ? [v17] :  ? [v18] : (semiring_1_of_nat(int, v17) = v18 & plus_plus(nat, v10, v11) = v17 & plus_plus(int, v18, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (number_number_of(v10, v14) = v15) |  ~ (plus_plus(v10, v15, v13) = v16) |  ~ (plus_plus(int, v11, v12) = v14) |  ~ number_ring(v10) |  ? [v17] :  ? [v18] :  ? [v19] : (number_number_of(v10, v12) = v18 & number_number_of(v10, v11) = v17 & plus_plus(v10, v18, v13) = v19 & plus_plus(v10, v17, v19) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v11 | v14 = v8 |  ~ (power_power(v10, v12, v14) = v15) |  ~ (number_number_of(nat, v13) = v14) |  ~ (zero_zero(v10) = v11) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10) |  ? [v16] : ( ~ (v16 = v11) & ti(v10, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v11 |  ~ (number_number_of(nat, v13) = v14) |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v15) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10) |  ? [v16] : ( ~ (v16 = v11) & power_power(v10, v12, v14) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v13) = v15) |  ~ (ti(v10, v12) = v14) |  ~ linordered_idom(v10) |  ? [v16] :  ? [v17] :  ? [v18] : ( ~ (v18 = v11) & power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v13) = v15) |  ~ (ti(v10, v12) = v14) |  ~ linordered_idom(v10) |  ? [v16] :  ? [v17] :  ? [v18] : (power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18 & ord_less(v10, v11, v18))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v14 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v13) = v15) |  ~ (ti(v10, v12) = v14) |  ~ linordered_idom(v10) |  ? [v16] :  ? [v17] :  ? [v18] : ( ~ (v18 = v11) & power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v14 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v13) = v15) |  ~ (ti(v10, v12) = v14) |  ~ linordered_idom(v10) |  ? [v16] :  ? [v17] :  ? [v18] : (power_power(v10, v13, v5) = v17 & power_power(v10, v12, v5) = v16 & plus_plus(v10, v16, v17) = v18 & ord_less(v10, v11, v18))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (power_power(v10, v13, v5) = v15) |  ~ (power_power(v10, v12, v5) = v14) |  ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v14, v15) = v11) |  ~ linordered_idom(v10) | (ti(v10, v13) = v11 & ti(v10, v12) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (semiring_1_of_nat(int, v13) = v14) |  ~ (plus_plus(nat, v10, v11) = v13) |  ~ (plus_plus(int, v14, v12) = v15) |  ? [v16] :  ? [v17] :  ? [v18] : (semiring_1_of_nat(int, v11) = v17 & semiring_1_of_nat(int, v10) = v16 & plus_plus(int, v17, v12) = v18 & plus_plus(int, v16, v18) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (number_number_of(v10, v12) = v14) |  ~ (number_number_of(v10, v11) = v13) |  ~ (plus_plus(v10, v13, v14) = v15) |  ~ number_ring(v10) |  ? [v16] : (number_number_of(v10, v16) = v15 & plus_plus(int, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (power_power(v12, v10, v11) = v13) |  ~ (ti(v12, v13) = v14) |  ~ zero_neq_one(v12) |  ~ no_zero_divisors(v12) |  ~ mult_zero(v12) |  ~ power(v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (power_power(v12, v10, v11) = v13) |  ~ (ti(v12, v13) = v14) |  ~ semiring_0(v12) |  ~ power(v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (number_number_of(nat, v11) = v12) |  ~ (number_number_of(nat, v10) = v13) |  ~ (plus_plus(nat, v12, v13) = v14) |  ~ ord_less(int, v11, pls)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (plus_plus(v12, v10, v11) = v13) |  ~ (ti(v12, v13) = v14) |  ~ number_semiring(v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (plus_plus(v12, v10, v11) = v13) |  ~ (ti(v12, v13) = v14) |  ~ linord219039673up_add(v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v12 |  ~ (number_number_of(nat, v11) = v12) |  ~ (number_number_of(nat, v10) = v13) |  ~ (plus_plus(nat, v12, v13) = v14) |  ~ ord_less(int, v10, pls) | ord_less(int, v11, pls)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v11 | v13 = v8 |  ~ (power_power(v10, v11, v13) = v14) |  ~ (number_number_of(nat, v12) = v13) |  ~ (zero_zero(v10) = v11) |  ~ semiring_0(v10) |  ~ power(v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v8 |  ~ (number_number_of(nat, v13) = v14) |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v11) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10) | power_power(v10, v12, v14) = v11) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (power_power(v14, v13, v12) = v11) |  ~ (power_power(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (plus_plus(v14, v13, v12) = v11) |  ~ (plus_plus(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (power_power(v12, v13, v11) = v14) |  ~ (ti(v12, v10) = v13) |  ~ zero_neq_one(v12) |  ~ no_zero_divisors(v12) |  ~ mult_zero(v12) |  ~ power(v12) | power_power(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (power_power(v12, v13, v11) = v14) |  ~ (ti(v12, v10) = v13) |  ~ semiring_0(v12) |  ~ power(v12) | power_power(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (power_power(v12, v10, v13) = v14) |  ~ (ti(nat, v11) = v13) |  ~ zero_neq_one(v12) |  ~ no_zero_divisors(v12) |  ~ mult_zero(v12) |  ~ power(v12) | power_power(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (power_power(v12, v10, v13) = v14) |  ~ (ti(nat, v11) = v13) |  ~ semiring_0(v12) |  ~ power(v12) | power_power(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (power_power(v10, v12, v14) = v11) |  ~ (number_number_of(nat, v13) = v14) |  ~ (zero_zero(v10) = v11) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10) | ti(v10, v12) = v11) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (semiring_1_of_nat(int, v11) = v13) |  ~ (semiring_1_of_nat(int, v10) = v12) |  ~ (plus_plus(int, v12, v13) = v14) |  ? [v15] : (semiring_1_of_nat(int, v15) = v14 & plus_plus(nat, v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v13) = v14) |  ~ (plus_plus(int, v12, v3) = v13) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ? [v15] : (number_number_of(v10, v12) = v15 & plus_plus(v10, v15, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v13) = v14) |  ~ (plus_plus(int, v11, v12) = v13) |  ~ number_ring(v10) |  ? [v15] :  ? [v16] : (number_number_of(v10, v12) = v16 & number_number_of(v10, v11) = v15 & plus_plus(v10, v15, v16) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v13) = v14) |  ~ (plus_plus(int, v3, v12) = v13) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ? [v15] : (number_number_of(v10, v12) = v15 & plus_plus(v10, v11, v15) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v12) = v14) |  ~ (number_number_of(v10, v11) = v13) |  ~ number_ring(v10) |  ~ ord_less(v10, v13, v14) |  ~ linordered_idom(v10) | ord_less(int, v11, v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v12) = v14) |  ~ (number_number_of(v10, v11) = v13) |  ~ number_ring(v10) |  ~ ord_less(int, v11, v12) |  ~ linordered_idom(v10) | ord_less(v10, v13, v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (plus_plus(v10, v13, v11) = v14) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ? [v15] : (number_number_of(v10, v15) = v14 & plus_plus(int, v12, v3) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (plus_plus(v10, v11, v13) = v14) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ? [v15] : (number_number_of(v10, v15) = v14 & plus_plus(int, v3, v12) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(nat, v13) = v8) |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v14) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10) |  ? [v15] : ( ~ (v15 = v11) & power_power(v10, v12, v8) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(nat, v11) = v12) |  ~ (number_number_of(nat, v10) = v13) |  ~ (plus_plus(nat, v12, v13) = v14) | ord_less(int, v11, pls) | ord_less(int, v10, pls) |  ? [v15] : (number_number_of(nat, v15) = v14 & plus_plus(int, v11, v10) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (number_number_of(int, v11) = v13) |  ~ (number_number_of(int, v10) = v12) |  ~ (plus_plus(int, v12, v13) = v14) |  ? [v15] : (number_number_of(int, v15) = v14 & plus_plus(int, v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (bit1(v11) = v13) |  ~ (bit0(v10) = v12) |  ~ (plus_plus(int, v12, v13) = v14) |  ? [v15] : (bit1(v15) = v14 & plus_plus(int, v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (bit1(v10) = v12) |  ~ (bit0(v11) = v13) |  ~ (plus_plus(int, v12, v13) = v14) |  ? [v15] : (bit1(v15) = v14 & plus_plus(int, v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (bit0(v11) = v13) |  ~ (bit0(v10) = v12) |  ~ (plus_plus(int, v12, v13) = v14) |  ? [v15] : (bit0(v15) = v14 & plus_plus(int, v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(v12, v13, v11) = v14) |  ~ (ti(v12, v10) = v13) |  ~ number_semiring(v12) | plus_plus(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(v12, v13, v11) = v14) |  ~ (ti(v12, v10) = v13) |  ~ linord219039673up_add(v12) | plus_plus(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(v12, v10, v13) = v14) |  ~ (ti(v12, v11) = v13) |  ~ number_semiring(v12) | plus_plus(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(v12, v10, v13) = v14) |  ~ (ti(v12, v11) = v13) |  ~ linord219039673up_add(v12) | plus_plus(v12, v10, v11) = v14) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(int, v13, v12) = v14) |  ~ (plus_plus(int, v10, v11) = v13) |  ? [v15] : (plus_plus(int, v11, v12) = v15 & plus_plus(int, v10, v15) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(int, v12, v10) = v14) |  ~ (plus_plus(int, v11, v10) = v13) |  ~ ord_less(int, v11, v12) | ord_less(int, v13, v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(int, v11, v13) = v14) |  ~ (plus_plus(int, v10, v12) = v13) |  ? [v15] : (plus_plus(int, v11, v12) = v15 & plus_plus(int, v10, v15) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(int, v11, v12) = v13) |  ~ (plus_plus(int, v10, v13) = v14) |  ? [v15] : (plus_plus(int, v15, v12) = v14 & plus_plus(int, v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (plus_plus(int, v11, v12) = v13) |  ~ (plus_plus(int, v10, v13) = v14) |  ? [v15] : (plus_plus(int, v11, v15) = v14 & plus_plus(int, v10, v12) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (semiring_1_of_nat(v11, v10) = v12) |  ~ (ti(v11, v12) = v13) |  ~ number_semiring(v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (number_number_of(v11, v10) = v12) |  ~ (ti(v11, v12) = v13) |  ~ number(v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (number_number_of(v10, v11) = v13) |  ~ (number_number_of(v10, v11) = v12) |  ~ ring_char_0(v10) |  ~ number_ring(v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (ti(v10, v12) = v13) |  ~ (ti(v10, v11) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v11 |  ~ (power_power(v10, v12, v5) = v13) |  ~ (zero_zero(v10) = v11) |  ~ ring_11004092258visors(v10) |  ? [v14] : ( ~ (v14 = v11) & ti(v10, v12) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v12, v12) = v13) |  ~ linord219039673up_add(v10) |  ? [v14] : ( ~ (v14 = v11) & ti(v10, v12) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v13) |  ~ ring_11004092258visors(v10) |  ? [v14] : ( ~ (v14 = v11) & power_power(v10, v12, v5) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v13) |  ~ linordered_idom(v10) |  ? [v14] : (power_power(v10, v12, v5) = v14 & ord_less(v10, v11, v14))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v13) |  ~ linord219039673up_add(v10) |  ? [v14] : ( ~ (v14 = v11) & plus_plus(v10, v12, v12) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v8 |  ~ (number_number_of(nat, v12) = v13) |  ~ (zero_zero(v10) = v11) |  ~ semiring_0(v10) |  ~ power(v10) | power_power(v10, v11, v13) = v11) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v12 = v11 |  ~ (number_number_of(v10, v12) = v13) |  ~ (number_number_of(v10, v11) = v13) |  ~ ring_char_0(v10) |  ~ number_ring(v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (semiring_1_of_nat(v13, v12) = v11) |  ~ (semiring_1_of_nat(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (number_number_of(v13, v12) = v11) |  ~ (number_number_of(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (ti(v13, v12) = v11) |  ~ (ti(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) |  ~ zero_neq_one(v12) |  ~ no_zero_divisors(v12) |  ~ mult_zero(v12) |  ~ power(v12) | ti(v12, v13) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) |  ~ zero_neq_one(v12) |  ~ no_zero_divisors(v12) |  ~ mult_zero(v12) |  ~ power(v12) |  ? [v14] : (power_power(v12, v14, v11) = v13 & ti(v12, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) |  ~ zero_neq_one(v12) |  ~ no_zero_divisors(v12) |  ~ mult_zero(v12) |  ~ power(v12) |  ? [v14] : (power_power(v12, v10, v14) = v13 & ti(nat, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) |  ~ semiring_0(v12) |  ~ power(v12) | ti(v12, v13) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) |  ~ semiring_0(v12) |  ~ power(v12) |  ? [v14] : (power_power(v12, v14, v11) = v13 & ti(v12, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v12, v10, v11) = v13) |  ~ semiring_0(v12) |  ~ power(v12) |  ? [v14] : (power_power(v12, v10, v14) = v13 & ti(nat, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v10, v12, v8) = v11) |  ~ (number_number_of(nat, v13) = v8) |  ~ (zero_zero(v10) = v11) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v10, v12, v5) = v13) |  ~ (zero_zero(v10) = v11) |  ~ ord_less(v10, v13, v11) |  ~ linordered_idom(v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v10, v12, v5) = v13) |  ~ (zero_zero(v10) = v11) |  ~ ord_less(v10, v11, v13) |  ~ linordered_idom(v10) |  ? [v14] : ( ~ (v14 = v11) & ti(v10, v12) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(v10, v12, v5) = v13) |  ~ (zero_zero(v10) = v11) |  ~ linordered_idom(v10) | ti(v10, v12) = v11 | ord_less(v10, v11, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (power_power(int, v12, v11) = v13) |  ~ (semiring_1_of_nat(int, v10) = v12) |  ? [v14] : (power_power(nat, v10, v11) = v14 & semiring_1_of_nat(int, v14) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (semiring_1_of_nat(v11, v12) = v13) |  ~ (ti(nat, v10) = v12) |  ~ number_semiring(v11) | semiring_1_of_nat(v11, v10) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (semiring_1_of_nat(int, v11) = v12) |  ~ (number_number_of(v10, v12) = v13) |  ~ number_semiring(v10) | semiring_1_of_nat(v10, v11) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v11, v12) = v13) |  ~ (ti(int, v10) = v12) |  ~ number(v11) | number_number_of(v11, v10) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (zero_zero(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(v10, v13, v11) |  ~ linordered_idom(v10) | ord_less(int, v12, pls)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (zero_zero(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(v10, v11, v13) |  ~ linordered_idom(v10) | ord_less(int, pls, v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (zero_zero(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(int, v12, pls) |  ~ linordered_idom(v10) | ord_less(v10, v13, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (zero_zero(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(int, pls, v12) |  ~ linordered_idom(v10) | ord_less(v10, v11, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(v10, v13, v11) |  ~ linordered_idom(v10) | ord_less(int, v12, v3)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(v10, v11, v13) |  ~ linordered_idom(v10) | ord_less(int, v3, v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(int, v12, v3) |  ~ linordered_idom(v10) | ord_less(v10, v13, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, v12) = v13) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) |  ~ ord_less(int, v3, v12) |  ~ linordered_idom(v10) | ord_less(v10, v11, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, pls) = v11) |  ~ (plus_plus(v10, v12, v11) = v13) |  ~ number_ring(v10) | ti(v10, v12) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, pls) = v11) |  ~ (plus_plus(v10, v11, v12) = v13) |  ~ number_ring(v10) | ti(v10, v12) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, pls) = v11) |  ~ (ti(v10, v12) = v13) |  ~ number_ring(v10) | plus_plus(v10, v12, v11) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(v10, pls) = v11) |  ~ (ti(v10, v12) = v13) |  ~ number_ring(v10) | plus_plus(v10, v11, v12) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(int, v11) = v13) |  ~ (number_number_of(int, v10) = v12) |  ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (number_number_of(int, v11) = v13) |  ~ (number_number_of(int, v10) = v12) |  ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (bit1(v11) = v13) |  ~ (bit1(v10) = v12) |  ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (bit1(v11) = v13) |  ~ (bit1(v10) = v12) |  ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (bit1(v10) = v12) |  ~ (bit0(v11) = v13) |  ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (bit1(v10) = v12) |  ~ (bit0(v11) = v13) |  ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (bit0(v11) = v13) |  ~ (bit0(v10) = v12) |  ~ ord_less(int, v12, v13) | ord_less(int, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (bit0(v11) = v13) |  ~ (bit0(v10) = v12) |  ~ ord_less(int, v10, v11) | ord_less(int, v12, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v12, v12) = v13) |  ~ ord_less(v10, v13, v11) |  ~ linordered_idom(v10) | ord_less(v10, v12, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v12, v12) = v13) |  ~ ord_less(v10, v12, v11) |  ~ linordered_idom(v10) | ord_less(v10, v13, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v13) = v11) |  ~ (ti(v10, v12) = v11) |  ~ linordered_idom(v10) |  ? [v14] :  ? [v15] :  ? [v16] : (power_power(v10, v13, v5) = v15 & power_power(v10, v12, v5) = v14 & plus_plus(v10, v14, v15) = v16 &  ~ ord_less(v10, v11, v16))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v13) = v11) |  ~ (ti(v10, v12) = v11) |  ~ linordered_idom(v10) |  ? [v14] :  ? [v15] : (power_power(v10, v13, v5) = v15 & power_power(v10, v12, v5) = v14 & plus_plus(v10, v14, v15) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) |  ~ number_semiring(v12) | ti(v12, v13) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) |  ~ number_semiring(v12) |  ? [v14] : (plus_plus(v12, v14, v11) = v13 & ti(v12, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) |  ~ number_semiring(v12) |  ? [v14] : (plus_plus(v12, v10, v14) = v13 & ti(v12, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) |  ~ linord219039673up_add(v12) | ti(v12, v13) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) |  ~ linord219039673up_add(v12) |  ? [v14] : (plus_plus(v12, v14, v11) = v13 & ti(v12, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (plus_plus(v12, v10, v11) = v13) |  ~ linord219039673up_add(v12) |  ? [v14] : (plus_plus(v12, v10, v14) = v13 & ti(v12, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ti(v12, v11) = v13) |  ~ ord_less(v12, v10, v13) |  ~ linordered_idom(v12) | ord_less(v12, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ti(v12, v11) = v13) |  ~ ord_less(v12, v10, v11) |  ~ linordered_idom(v12) | ord_less(v12, v10, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ti(v12, v10) = v13) |  ~ ord_less(v12, v13, v11) |  ~ linordered_idom(v12) | ord_less(v12, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (ti(v12, v10) = v13) |  ~ ord_less(v12, v10, v11) |  ~ linordered_idom(v12) | ord_less(v12, v13, v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (power_power(v10, v11, v5) = v12) |  ~ (zero_zero(v10) = v11) |  ~ semiring_1(v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (power_power(v10, v11, v5) = v12) |  ~ (one_one(v10) = v11) |  ~ semiring_1(v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (semiring_1_of_nat(int, v10) = v12) |  ~ (semiring_1_of_nat(int, v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (bit1(v10) = v12) |  ~ (bit1(v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (bit0(v10) = v12) |  ~ (bit0(v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (undefined(v10) = v11) |  ~ (ti(v10, v11) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v11) = v12) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v11) = v12) |  ~ linord219039673up_add(v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v11) = v12) |  ~ semiring_0(v10) |  ~ power(v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (one_one(v10) = v11) |  ~ (ti(v10, v11) = v12) |  ~ semiring_0(v10) |  ~ power(v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (semiring_1_of_nat(int, v11) = v12) |  ~ (semiring_1_of_nat(int, v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (bit1(v12) = v11) |  ~ (bit1(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (bit1(v11) = v12) |  ~ (bit1(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (bit0(v12) = v11) |  ~ (bit0(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (bit0(v11) = v12) |  ~ (bit0(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (undefined(v12) = v11) |  ~ (undefined(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (zero_zero(v12) = v11) |  ~ (zero_zero(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (plus_plus(int, v11, v0) = v12) |  ~ ord_less(int, v10, v12) | ord_less(int, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (one_one(v12) = v11) |  ~ (one_one(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (power_power(v10, v12, v5) = v11) |  ~ (zero_zero(v10) = v11) |  ~ ring_11004092258visors(v10) | ti(v10, v12) = v11) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (power_power(nat, v10, v11) = v12) |  ? [v13] :  ? [v14] : (power_power(int, v14, v11) = v13 & semiring_1_of_nat(int, v12) = v13 & semiring_1_of_nat(int, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (power_power(nat, v10, v11) = v12) |  ? [v13] :  ? [v14] : (power_power(int, v13, v11) = v14 & semiring_1_of_nat(int, v12) = v14 & semiring_1_of_nat(int, v10) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (semiring_1_of_nat(v11, v10) = v12) |  ~ number_semiring(v11) | ti(v11, v12) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (semiring_1_of_nat(v11, v10) = v12) |  ~ number_semiring(v11) |  ? [v13] : (semiring_1_of_nat(v11, v13) = v12 & ti(nat, v10) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (semiring_1_of_nat(v10, v11) = v12) |  ~ number_semiring(v10) |  ? [v13] : (semiring_1_of_nat(int, v11) = v13 & number_number_of(v10, v13) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (number_number_of(v11, v10) = v12) |  ~ number(v11) | ti(v11, v12) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (number_number_of(v11, v10) = v12) |  ~ number(v11) |  ? [v13] : (number_number_of(v11, v13) = v12 & ti(int, v10) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (bit1(v11) = v12) |  ~ (bit0(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (bit1(v10) = v12) |  ~ (bit0(v11) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (zero_zero(v10) = v11) |  ~ (plus_plus(v10, v12, v12) = v11) |  ~ linord219039673up_add(v10) | ti(v10, v12) = v11) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v11) |  ~ ring_11004092258visors(v10) | power_power(v10, v12, v5) = v11) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v11) |  ~ linordered_idom(v10) |  ? [v13] : (power_power(v10, v12, v5) = v13 &  ~ ord_less(v10, v11, v13))) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (zero_zero(v10) = v11) |  ~ (ti(v10, v12) = v11) |  ~ linord219039673up_add(v10) | plus_plus(v10, v12, v12) = v11) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(v10, v11, v11) = v12) |  ~ (one_one(v10) = v11) |  ~ number_ring(v10) | number_number_of(v10, v4) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(v10, v11, v11) = v12) |  ~ (one_one(v10) = v11) |  ~ number_semiring(v10) | number_number_of(v10, v4) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(nat, v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : (semiring_1_of_nat(int, v12) = v15 & semiring_1_of_nat(int, v11) = v14 & semiring_1_of_nat(int, v10) = v13 & plus_plus(int, v13, v14) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) |  ~ (plus_plus(int, v0, v10) = v11) |  ~ ord_less(int, v12, pls) | ord_less(int, v10, pls)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) |  ~ (plus_plus(int, v0, v10) = v11) |  ~ ord_less(int, v10, pls) | ord_less(int, v12, pls)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) |  ~ (plus_plus(int, v0, v10) = v11) | bit1(v10) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | plus_plus(int, v10, v11) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v11, v10) = v12) | ord_less(int, v11, pls) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (number_number_of(nat, v12) = v16 & number_number_of(nat, v11) = v13 & number_number_of(nat, v10) = v14 & plus_plus(nat, v13, v14) = v15 & (v16 = v15 | ord_less(int, v10, pls)) & (v15 = v13 |  ~ ord_less(int, v10, pls)))) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v11, v0) = v12) |  ~ ord_less(int, v10, v11) | ord_less(int, v10, v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) | plus_plus(int, v11, v10) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : (number_number_of(int, v12) = v15 & number_number_of(int, v11) = v14 & number_number_of(int, v10) = v13 & plus_plus(int, v13, v14) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : (bit1(v12) = v15 & bit1(v11) = v14 & bit0(v10) = v13 & plus_plus(int, v13, v14) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : (bit1(v12) = v15 & bit1(v10) = v13 & bit0(v11) = v14 & plus_plus(int, v13, v14) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (plus_plus(int, v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : (bit0(v12) = v15 & bit0(v11) = v14 & bit0(v10) = v13 & plus_plus(int, v13, v14) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ti(v10, v11) = v12) | ti(v10, v12) = v12) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ti(nat, v11) = v12) |  ~ ord_less(nat, v10, v12) | ord_less(nat, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ti(nat, v11) = v12) |  ~ ord_less(nat, v10, v11) | ord_less(nat, v10, v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ti(nat, v10) = v12) |  ~ ord_less(nat, v12, v11) | ord_less(nat, v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (ti(nat, v10) = v12) |  ~ ord_less(nat, v10, v11) | ord_less(nat, v12, v11)) &  ! [v10] :  ! [v11] : (v11 = v10 |  ~ (plus_plus(int, v10, pls) = v11)) &  ! [v10] :  ! [v11] : (v11 = v10 |  ~ (plus_plus(int, pls, v10) = v11)) &  ! [v10] :  ! [v11] : ( ~ (power_power(int, v10, v7) = v11) |  ? [v12] : (power_power(int, v12, v5) = v11 & power_power(int, v10, v5) = v12)) &  ! [v10] :  ! [v11] : ( ~ (power_power(int, v10, v5) = v11) |  ? [v12] : (power_power(int, v11, v5) = v12 & power_power(int, v10, v7) = v12)) &  ! [v10] :  ! [v11] : ( ~ (semiring_1_of_nat(int, v10) = v11) |  ~ ord_less(int, v11, pls)) &  ! [v10] :  ! [v11] : ( ~ (number_number_of(v10, v4) = v11) |  ~ number_ring(v10) |  ? [v12] : (plus_plus(v10, v12, v12) = v11 & one_one(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (number_number_of(v10, v4) = v11) |  ~ number_semiring(v10) |  ? [v12] : (plus_plus(v10, v12, v12) = v11 & one_one(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (number_number_of(v10, v3) = v11) |  ~ number_ring(v10) | one_one(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (number_number_of(v10, pls) = v11) |  ~ number_ring(v10) | zero_zero(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (number_number_of(v10, pls) = v11) |  ~ number_semiring(v10) | zero_zero(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (bit1(v10) = v11) |  ~ ord_less(int, v11, pls) | ord_less(int, v10, pls)) &  ! [v10] :  ! [v11] : ( ~ (bit1(v10) = v11) |  ~ ord_less(int, v10, pls) | ord_less(int, v11, pls)) &  ! [v10] :  ! [v11] : ( ~ (bit1(v10) = v11) | ti(int, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (bit1(v10) = v11) |  ? [v12] : (bit1(v12) = v11 & ti(int, v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (bit1(v10) = v11) |  ? [v12] : (plus_plus(int, v12, v10) = v11 & plus_plus(int, v0, v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) |  ~ ord_less(int, v11, pls) | ord_less(int, v10, pls)) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) |  ~ ord_less(int, v10, pls) | ord_less(int, v11, pls)) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) |  ~ ord_less(int, pls, v11) | ord_less(int, pls, v10)) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) |  ~ ord_less(int, pls, v10) | ord_less(int, pls, v11)) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) | plus_plus(int, v10, v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) | ti(int, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (bit0(v10) = v11) |  ? [v12] : (bit0(v12) = v11 & ti(int, v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (undefined(v10) = v11) | ti(v10, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ number_ring(v10) | number_number_of(v10, pls) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ semiring_1(v10) | power_power(v10, v11, v5) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ zero_neq_one(v10) |  ~ no_zero_divisors(v10) |  ~ mult_zero(v10) |  ~ power(v10) | ti(v10, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ number_semiring(v10) | number_number_of(v10, pls) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ linord219039673up_add(v10) | ti(v10, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ semiring_0(v10) |  ~ power(v10) | ti(v10, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (zero_zero(v10) = v11) |  ~ semiring_0(v10) |  ~ power(v10) |  ? [v12] : (one_one(v10) = v12 &  ! [v13] :  ! [v14] : (v14 = v12 |  ~ (power_power(v10, v11, v8) = v14) |  ~ (number_number_of(nat, v13) = v8)) &  ! [v13] : ( ~ (number_number_of(nat, v13) = v8) | power_power(v10, v11, v8) = v12))) &  ! [v10] :  ! [v11] : ( ~ (plus_plus(int, v11, v10) = pls) |  ~ (plus_plus(int, v0, v10) = v11)) &  ! [v10] :  ! [v11] : ( ~ (plus_plus(int, v10, v10) = v11) | bit0(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (plus_plus(int, v10, v0) = v11) | ord_less(int, v10, v11)) &  ! [v10] :  ! [v11] : ( ~ (one_one(v10) = v11) |  ~ number_ring(v10) | number_number_of(v10, v3) = v11) &  ! [v10] :  ! [v11] : ( ~ (one_one(v10) = v11) |  ~ semiring_1(v10) | power_power(v10, v11, v5) = v11) &  ! [v10] :  ! [v11] : ( ~ (one_one(v10) = v11) |  ~ semiring_0(v10) |  ~ power(v10) | ti(v10, v11) = v11) &  ! [v10] :  ! [v11] : ( ~ (one_one(v10) = v11) |  ~ semiring_0(v10) |  ~ power(v10) |  ? [v12] : (zero_zero(v10) = v12 &  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v12 | v14 = v8 |  ~ (power_power(v10, v12, v14) = v15) |  ~ (number_number_of(nat, v13) = v14)) &  ! [v13] :  ! [v14] : (v14 = v11 |  ~ (power_power(v10, v12, v8) = v14) |  ~ (number_number_of(nat, v13) = v8)) &  ! [v13] :  ! [v14] : (v14 = v8 |  ~ (number_number_of(nat, v13) = v14) | power_power(v10, v12, v14) = v12) &  ! [v13] : ( ~ (number_number_of(nat, v13) = v8) | power_power(v10, v12, v8) = v11))) &  ! [v10] :  ! [v11] : ( ~ (ti(int, v10) = v11) |  ? [v12] : (bit1(v11) = v12 & bit1(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (ti(int, v10) = v11) |  ? [v12] : (bit0(v11) = v12 & bit0(v10) = v12)) &  ! [v10] : (v10 = v8 |  ~ (semiring_1_of_nat(int, v10) = pls)) &  ! [v10] : (v10 = pls |  ~ (bit0(v10) = pls)) &  ! [v10] :  ~ (bit1(v10) = pls) &  ? [v10] :  ? [v11] : (v11 = v10 | ord_less(int, v11, v10) | ord_less(int, v10, v11)))
% 11.71/3.32  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 11.71/3.32  | (1)  ~ (all_0_9_9 = pls) & power_power(int, all_0_7_7, all_0_4_4) = pls & semiring_1_of_nat(int, all_0_0_0) = all_0_9_9 & semiring_1_of_nat(int, all_0_1_1) = pls & semiring_1_of_nat(int, n) = all_0_8_8 & number_number_of(nat, all_0_3_3) = all_0_2_2 & number_number_of(nat, all_0_5_5) = all_0_4_4 & number_number_of(nat, all_0_6_6) = all_0_0_0 & number_number_of(nat, pls) = all_0_1_1 & number_number_of(int, all_0_6_6) = all_0_9_9 & number_number_of(int, pls) = pls & bit1(pls) = all_0_6_6 & bit0(all_0_5_5) = all_0_3_3 & bit0(all_0_6_6) = all_0_5_5 & bit0(pls) = pls & zero_zero(nat) = all_0_1_1 & zero_zero(int) = pls & plus_plus(nat, all_0_0_0, all_0_0_0) = all_0_4_4 & plus_plus(int, all_0_9_9, all_0_8_8) = all_0_7_7 & one_one(nat) = all_0_0_0 & one_one(int) = all_0_9_9 & ti(nat, n) = n & ti(int, t) = t & ti(int, pls) = pls & ring_char_0(int) & number_ring(int) & ring_11004092258visors(int) & semiring_1(nat) & semiring_1(int) & ord_less(nat, all_0_1_1, n) & ord_less(int, all_0_9_9, t) & ord_less(int, pls, all_0_7_7) & ord_less(int, pls, all_0_9_9) & linordered_idom(int) & number(nat) & number(int) & zero_neq_one(nat) & zero_neq_one(int) & no_zero_divisors(nat) & no_zero_divisors(int) & mult_zero(nat) & mult_zero(int) & number_semiring(nat) & number_semiring(int) & linord219039673up_add(int) & semiring_0(nat) & semiring_0(int) & power(nat) & power(int) &  ~ ord_less(int, pls, pls) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (number_number_of(v0, v2) = v5) |  ~ (number_number_of(v0, v1) = v4) |  ~ (plus_plus(v0, v5, v3) = v6) |  ~ (plus_plus(v0, v4, v6) = v7) |  ~ number_ring(v0) |  ? [v8] :  ? [v9] : (number_number_of(v0, v8) = v9 & plus_plus(v0, v9, v3) = v7 & plus_plus(int, v1, v2) = v8)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v1 |  ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v6) |  ~ linordered_idom(v0) |  ? [v7] :  ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) |  ~ (v7 = v1)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v6) |  ~ ord_less(v0, v1, v6) |  ~ linordered_idom(v0) |  ? [v7] :  ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) |  ~ (v7 = v1)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v6) |  ~ linordered_idom(v0) | ord_less(v0, v1, v6) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (semiring_1_of_nat(int, v1) = v4) |  ~ (semiring_1_of_nat(int, v0) = v3) |  ~ (plus_plus(int, v4, v2) = v5) |  ~ (plus_plus(int, v3, v5) = v6) |  ? [v7] :  ? [v8] : (semiring_1_of_nat(int, v7) = v8 & plus_plus(nat, v0, v1) = v7 & plus_plus(int, v8, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (number_number_of(v0, v4) = v5) |  ~ (plus_plus(v0, v5, v3) = v6) |  ~ (plus_plus(int, v1, v2) = v4) |  ~ number_ring(v0) |  ? [v7] :  ? [v8] :  ? [v9] : (number_number_of(v0, v2) = v8 & number_number_of(v0, v1) = v7 & plus_plus(v0, v8, v3) = v9 & plus_plus(v0, v7, v9) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 | v4 = all_0_1_1 |  ~ (power_power(v0, v2, v4) = v5) |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) |  ? [v6] : ( ~ (v6 = v1) & ti(v0, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v5) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) |  ? [v6] : ( ~ (v6 = v1) & power_power(v0, v2, v4) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v1) |  ~ linordered_idom(v0) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (semiring_1_of_nat(int, v3) = v4) |  ~ (plus_plus(nat, v0, v1) = v3) |  ~ (plus_plus(int, v4, v2) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : (semiring_1_of_nat(int, v1) = v7 & semiring_1_of_nat(int, v0) = v6 & plus_plus(int, v7, v2) = v8 & plus_plus(int, v6, v8) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (number_number_of(v0, v2) = v4) |  ~ (number_number_of(v0, v1) = v3) |  ~ (plus_plus(v0, v3, v4) = v5) |  ~ number_ring(v0) |  ? [v6] : (number_number_of(v0, v6) = v5 & plus_plus(int, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (power_power(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (power_power(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ semiring_0(v2) |  ~ power(v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (number_number_of(nat, v1) = v2) |  ~ (number_number_of(nat, v0) = v3) |  ~ (plus_plus(nat, v2, v3) = v4) |  ~ ord_less(int, v1, pls)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (plus_plus(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ number_semiring(v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (plus_plus(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ linord219039673up_add(v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (number_number_of(nat, v1) = v2) |  ~ (number_number_of(nat, v0) = v3) |  ~ (plus_plus(nat, v2, v3) = v4) |  ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v1 | v3 = all_0_1_1 |  ~ (power_power(v0, v1, v3) = v4) |  ~ (number_number_of(nat, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = all_0_1_1 |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) | power_power(v0, v2, v4) = v1) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (power_power(v4, v3, v2) = v1) |  ~ (power_power(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (plus_plus(v4, v3, v2) = v1) |  ~ (plus_plus(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ semiring_0(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) |  ~ (ti(nat, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) |  ~ (ti(nat, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v0, v2, v4) = v1) |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) | ti(v0, v2) = v1) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (semiring_1_of_nat(int, v1) = v3) |  ~ (semiring_1_of_nat(int, v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (semiring_1_of_nat(int, v5) = v4 & plus_plus(nat, v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v3) = v4) |  ~ (plus_plus(int, v2, all_0_6_6) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v5, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v3) = v4) |  ~ (plus_plus(int, v1, v2) = v3) |  ~ number_ring(v0) |  ? [v5] :  ? [v6] : (number_number_of(v0, v2) = v6 & number_number_of(v0, v1) = v5 & plus_plus(v0, v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v3) = v4) |  ~ (plus_plus(int, all_0_6_6, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v1, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v4) |  ~ (number_number_of(v0, v1) = v3) |  ~ number_ring(v0) |  ~ ord_less(v0, v3, v4) |  ~ linordered_idom(v0) | ord_less(int, v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v4) |  ~ (number_number_of(v0, v1) = v3) |  ~ number_ring(v0) |  ~ ord_less(int, v1, v2) |  ~ linordered_idom(v0) | ord_less(v0, v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (plus_plus(v0, v3, v1) = v4) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, v2, all_0_6_6) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (plus_plus(v0, v1, v3) = v4) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, all_0_6_6, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(nat, v3) = all_0_1_1) |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v4) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) |  ? [v5] : ( ~ (v5 = v1) & power_power(v0, v2, all_0_1_1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(nat, v1) = v2) |  ~ (number_number_of(nat, v0) = v3) |  ~ (plus_plus(nat, v2, v3) = v4) | ord_less(int, v1, pls) | ord_less(int, v0, pls) |  ? [v5] : (number_number_of(nat, v5) = v4 & plus_plus(int, v1, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(int, v1) = v3) |  ~ (number_number_of(int, v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (number_number_of(int, v5) = v4 & plus_plus(int, v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (bit1(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v3) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (bit0(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (bit0(v5) = v4 & plus_plus(int, v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) |  ~ (ti(v2, v1) = v3) |  ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) |  ~ (ti(v2, v1) = v3) |  ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v3, v2) = v4) |  ~ (plus_plus(int, v0, v1) = v3) |  ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v2, v0) = v4) |  ~ (plus_plus(int, v1, v0) = v3) |  ~ ord_less(int, v1, v2) | ord_less(int, v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v1, v3) = v4) |  ~ (plus_plus(int, v0, v2) = v3) |  ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) |  ~ (plus_plus(int, v0, v3) = v4) |  ? [v5] : (plus_plus(int, v5, v2) = v4 & plus_plus(int, v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) |  ~ (plus_plus(int, v0, v3) = v4) |  ? [v5] : (plus_plus(int, v1, v5) = v4 & plus_plus(int, v0, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (semiring_1_of_nat(v1, v0) = v2) |  ~ (ti(v1, v2) = v3) |  ~ number_semiring(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (number_number_of(v1, v0) = v2) |  ~ (ti(v1, v2) = v3) |  ~ number(v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (number_number_of(v0, v1) = v3) |  ~ (number_number_of(v0, v1) = v2) |  ~ ring_char_0(v0) |  ~ number_ring(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (ti(v0, v2) = v3) |  ~ (ti(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ ring_11004092258visors(v0) |  ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v3) |  ~ linord219039673up_add(v0) |  ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v3) |  ~ ring_11004092258visors(v0) |  ? [v4] : ( ~ (v4 = v1) & power_power(v0, v2, all_0_4_4) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v3) |  ~ linordered_idom(v0) |  ? [v4] : (power_power(v0, v2, all_0_4_4) = v4 & ord_less(v0, v1, v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v3) |  ~ linord219039673up_add(v0) |  ? [v4] : ( ~ (v4 = v1) & plus_plus(v0, v2, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = all_0_1_1 |  ~ (number_number_of(nat, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) | power_power(v0, v1, v3) = v1) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (number_number_of(v0, v2) = v3) |  ~ (number_number_of(v0, v1) = v3) |  ~ ring_char_0(v0) |  ~ number_ring(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (semiring_1_of_nat(v3, v2) = v1) |  ~ (semiring_1_of_nat(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (number_number_of(v3, v2) = v1) |  ~ (number_number_of(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ti(v3, v2) = v1) |  ~ (ti(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) | ti(v2, v3) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) | ti(v2, v3) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_1_1) = v1) |  ~ (number_number_of(nat, v3) = all_0_1_1) |  ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ ord_less(v0, v1, v3) |  ~ linordered_idom(v0) |  ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ linordered_idom(v0) | ti(v0, v2) = v1 | ord_less(v0, v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(int, v2, v1) = v3) |  ~ (semiring_1_of_nat(int, v0) = v2) |  ? [v4] : (power_power(nat, v0, v1) = v4 & semiring_1_of_nat(int, v4) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (semiring_1_of_nat(v1, v2) = v3) |  ~ (ti(nat, v0) = v2) |  ~ number_semiring(v1) | semiring_1_of_nat(v1, v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (semiring_1_of_nat(int, v1) = v2) |  ~ (number_number_of(v0, v2) = v3) |  ~ number_semiring(v0) | semiring_1_of_nat(v0, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v1, v2) = v3) |  ~ (ti(int, v0) = v2) |  ~ number(v1) | number_number_of(v1, v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0) | ord_less(int, v2, pls)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v1, v3) |  ~ linordered_idom(v0) | ord_less(int, pls, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, v2, pls) |  ~ linordered_idom(v0) | ord_less(v0, v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, pls, v2) |  ~ linordered_idom(v0) | ord_less(v0, v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0) | ord_less(int, v2, all_0_6_6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v1, v3) |  ~ linordered_idom(v0) | ord_less(int, all_0_6_6, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, v2, all_0_6_6) |  ~ linordered_idom(v0) | ord_less(v0, v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, all_0_6_6, v2) |  ~ linordered_idom(v0) | ord_less(v0, v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (plus_plus(v0, v2, v1) = v3) |  ~ number_ring(v0) | ti(v0, v2) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (plus_plus(v0, v1, v2) = v3) |  ~ number_ring(v0) | ti(v0, v2) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (ti(v0, v2) = v3) |  ~ number_ring(v0) | plus_plus(v0, v2, v1) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (ti(v0, v2) = v3) |  ~ number_ring(v0) | plus_plus(v0, v1, v2) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(int, v1) = v3) |  ~ (number_number_of(int, v0) = v2) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(int, v1) = v3) |  ~ (number_number_of(int, v0) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v1) = v3) |  ~ (bit1(v0) = v2) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v1) = v3) |  ~ (bit1(v0) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v3) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v3) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit0(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit0(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v3) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0) | ord_less(v0, v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v3) |  ~ ord_less(v0, v2, v1) |  ~ linordered_idom(v0) | ord_less(v0, v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linordered_idom(v0) |  ? [v4] :  ? [v5] :  ? [v6] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v6 &  ~ ord_less(v0, v1, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linordered_idom(v0) |  ? [v4] :  ? [v5] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ number_semiring(v2) | ti(v2, v3) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ number_semiring(v2) |  ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ number_semiring(v2) |  ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ linord219039673up_add(v2) | ti(v2, v3) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ linord219039673up_add(v2) |  ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ linord219039673up_add(v2) |  ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v1) = v3) |  ~ ord_less(v2, v0, v3) |  ~ linordered_idom(v2) | ord_less(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v1) = v3) |  ~ ord_less(v2, v0, v1) |  ~ linordered_idom(v2) | ord_less(v2, v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v0) = v3) |  ~ ord_less(v2, v3, v1) |  ~ linordered_idom(v2) | ord_less(v2, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v0) = v3) |  ~ ord_less(v2, v0, v1) |  ~ linordered_idom(v2) | ord_less(v2, v3, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (power_power(v0, v1, all_0_4_4) = v2) |  ~ (zero_zero(v0) = v1) |  ~ semiring_1(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (power_power(v0, v1, all_0_4_4) = v2) |  ~ (one_one(v0) = v1) |  ~ semiring_1(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (semiring_1_of_nat(int, v0) = v2) |  ~ (semiring_1_of_nat(int, v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (bit1(v0) = v2) |  ~ (bit1(v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (bit0(v0) = v2) |  ~ (bit0(v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (undefined(v0) = v1) |  ~ (ti(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ linord219039673up_add(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ semiring_0(v0) |  ~ power(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (one_one(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ semiring_0(v0) |  ~ power(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (semiring_1_of_nat(int, v1) = v2) |  ~ (semiring_1_of_nat(int, v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit1(v2) = v1) |  ~ (bit1(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit1(v1) = v2) |  ~ (bit1(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit0(v2) = v1) |  ~ (bit0(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit0(v1) = v2) |  ~ (bit0(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (undefined(v2) = v1) |  ~ (undefined(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (zero_zero(v2) = v1) |  ~ (zero_zero(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (plus_plus(int, v1, all_0_9_9) = v2) |  ~ ord_less(int, v0, v2) | ord_less(int, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_one(v2) = v1) |  ~ (one_one(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_power(v0, v2, all_0_4_4) = v1) |  ~ (zero_zero(v0) = v1) |  ~ ring_11004092258visors(v0) | ti(v0, v2) = v1) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) |  ? [v3] :  ? [v4] : (power_power(int, v4, v1) = v3 & semiring_1_of_nat(int, v2) = v3 & semiring_1_of_nat(int, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) |  ? [v3] :  ? [v4] : (power_power(int, v3, v1) = v4 & semiring_1_of_nat(int, v2) = v4 & semiring_1_of_nat(int, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) |  ~ number_semiring(v1) | ti(v1, v2) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) |  ~ number_semiring(v1) |  ? [v3] : (semiring_1_of_nat(v1, v3) = v2 & ti(nat, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (semiring_1_of_nat(v0, v1) = v2) |  ~ number_semiring(v0) |  ? [v3] : (semiring_1_of_nat(int, v1) = v3 & number_number_of(v0, v3) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (number_number_of(v1, v0) = v2) |  ~ number(v1) | ti(v1, v2) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (number_number_of(v1, v0) = v2) |  ~ number(v1) |  ? [v3] : (number_number_of(v1, v3) = v2 & ti(int, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (bit1(v1) = v2) |  ~ (bit0(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v1) |  ~ linord219039673up_add(v0) | ti(v0, v2) = v1) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ ring_11004092258visors(v0) | power_power(v0, v2, all_0_4_4) = v1) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linordered_idom(v0) |  ? [v3] : (power_power(v0, v2, all_0_4_4) = v3 &  ~ ord_less(v0, v1, v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linord219039673up_add(v0) | plus_plus(v0, v2, v2) = v1) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) | number_number_of(v0, all_0_5_5) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) |  ~ (one_one(v0) = v1) |  ~ number_semiring(v0) | number_number_of(v0, all_0_5_5) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(nat, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (semiring_1_of_nat(int, v2) = v5 & semiring_1_of_nat(int, v1) = v4 & semiring_1_of_nat(int, v0) = v3 & plus_plus(int, v3, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) |  ~ (plus_plus(int, all_0_9_9, v0) = v1) |  ~ ord_less(int, v2, pls) | ord_less(int, v0, pls)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) |  ~ (plus_plus(int, all_0_9_9, v0) = v1) |  ~ ord_less(int, v0, pls) | ord_less(int, v2, pls)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) |  ~ (plus_plus(int, all_0_9_9, v0) = v1) | bit1(v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | plus_plus(int, v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ord_less(int, v1, pls) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (number_number_of(nat, v2) = v6 & number_number_of(nat, v1) = v3 & number_number_of(nat, v0) = v4 & plus_plus(nat, v3, v4) = v5 & (v6 = v5 | ord_less(int, v0, pls)) & (v5 = v3 |  ~ ord_less(int, v0, pls)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, all_0_9_9) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | plus_plus(int, v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (number_number_of(int, v2) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3 & plus_plus(int, v3, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (bit1(v2) = v5 & bit1(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (bit1(v2) = v5 & bit1(v0) = v3 & bit0(v1) = v4 & plus_plus(int, v3, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (bit0(v2) = v5 & bit0(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v1) = v2) |  ~ ord_less(nat, v0, v2) | ord_less(nat, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v1) = v2) |  ~ ord_less(nat, v0, v1) | ord_less(nat, v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v0) = v2) |  ~ ord_less(nat, v2, v1) | ord_less(nat, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v0) = v2) |  ~ ord_less(nat, v0, v1) | ord_less(nat, v2, v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (plus_plus(int, v0, pls) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (plus_plus(int, pls, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (power_power(int, v0, all_0_2_2) = v1) |  ? [v2] : (power_power(int, v2, all_0_4_4) = v1 & power_power(int, v0, all_0_4_4) = v2)) &  ! [v0] :  ! [v1] : ( ~ (power_power(int, v0, all_0_4_4) = v1) |  ? [v2] : (power_power(int, v1, all_0_4_4) = v2 & power_power(int, v0, all_0_2_2) = v2)) &  ! [v0] :  ! [v1] : ( ~ (semiring_1_of_nat(int, v0) = v1) |  ~ ord_less(int, v1, pls)) &  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) |  ~ number_ring(v0) |  ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) |  ~ number_semiring(v0) |  ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, all_0_6_6) = v1) |  ~ number_ring(v0) | one_one(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, pls) = v1) |  ~ number_ring(v0) | zero_zero(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, pls) = v1) |  ~ number_semiring(v0) | zero_zero(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ~ ord_less(int, v1, pls) | ord_less(int, v0, pls)) &  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) &  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ? [v2] : (plus_plus(int, v2, v0) = v1 & plus_plus(int, all_0_9_9, v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, v1, pls) | ord_less(int, v0, pls)) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, v0, pls) | ord_less(int, v1, pls)) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, pls, v1) | ord_less(int, pls, v0)) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, pls, v0) | ord_less(int, pls, v1)) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) | plus_plus(int, v0, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) | number_number_of(v0, pls) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) | ti(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ number_semiring(v0) | number_number_of(v0, pls) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ linord219039673up_add(v0) | ti(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) | ti(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) |  ? [v2] : (one_one(v0) = v2 &  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (power_power(v0, v1, all_0_1_1) = v4) |  ~ (number_number_of(nat, v3) = all_0_1_1)) &  ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v1, all_0_1_1) = v2))) &  ! [v0] :  ! [v1] : ( ~ (plus_plus(int, v1, v0) = pls) |  ~ (plus_plus(int, all_0_9_9, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (plus_plus(int, v0, v0) = v1) | bit0(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (plus_plus(int, v0, all_0_9_9) = v1) | ord_less(int, v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ number_ring(v0) | number_number_of(v0, all_0_6_6) = v1) &  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1) &  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) | ti(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) |  ? [v2] : (zero_zero(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v2 | v4 = all_0_1_1 |  ~ (power_power(v0, v2, v4) = v5) |  ~ (number_number_of(nat, v3) = v4)) &  ! [v3] :  ! [v4] : (v4 = v1 |  ~ (power_power(v0, v2, all_0_1_1) = v4) |  ~ (number_number_of(nat, v3) = all_0_1_1)) &  ! [v3] :  ! [v4] : (v4 = all_0_1_1 |  ~ (number_number_of(nat, v3) = v4) | power_power(v0, v2, v4) = v2) &  ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v2, all_0_1_1) = v1))) &  ! [v0] :  ! [v1] : ( ~ (ti(int, v0) = v1) |  ? [v2] : (bit1(v1) = v2 & bit1(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (ti(int, v0) = v1) |  ? [v2] : (bit0(v1) = v2 & bit0(v0) = v2)) &  ! [v0] : (v0 = all_0_1_1 |  ~ (semiring_1_of_nat(int, v0) = pls)) &  ! [v0] : (v0 = pls |  ~ (bit0(v0) = pls)) &  ! [v0] :  ~ (bit1(v0) = pls) &  ? [v0] :  ? [v1] : (v1 = v0 | ord_less(int, v1, v0) | ord_less(int, v0, v1))
% 11.71/3.36  |
% 11.71/3.36  | Applying alpha-rule on (1) yields:
% 11.71/3.36  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) |  ? [v3] :  ? [v4] : (power_power(int, v4, v1) = v3 & semiring_1_of_nat(int, v2) = v3 & semiring_1_of_nat(int, v0) = v4))
% 11.71/3.36  | (3) number_number_of(nat, all_0_6_6) = all_0_0_0
% 11.71/3.36  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4)
% 11.71/3.36  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ linordered_idom(v0) | ti(v0, v2) = v1 | ord_less(v0, v1, v3))
% 11.71/3.36  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (semiring_1_of_nat(v3, v2) = v1) |  ~ (semiring_1_of_nat(v3, v2) = v0))
% 11.71/3.36  | (7)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ ring_11004092258visors(v0) | power_power(v0, v2, all_0_4_4) = v1)
% 11.71/3.36  | (8)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1)
% 11.71/3.36  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = all_0_1_1 |  ~ (number_number_of(nat, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) | power_power(v0, v1, v3) = v1)
% 11.71/3.36  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v1) = v3) |  ~ ord_less(v2, v0, v3) |  ~ linordered_idom(v2) | ord_less(v2, v0, v1))
% 11.71/3.36  | (11)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (plus_plus(int, v1, all_0_9_9) = v2) |  ~ ord_less(int, v0, v2) | ord_less(int, v0, v1))
% 11.71/3.36  | (12) no_zero_divisors(int)
% 11.71/3.36  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v1, v3) |  ~ linordered_idom(v0) | ord_less(int, all_0_6_6, v2))
% 11.71/3.36  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v3) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0) | ord_less(v0, v2, v1))
% 11.71/3.36  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v1) = v3) |  ~ ord_less(v2, v0, v1) |  ~ linordered_idom(v2) | ord_less(v2, v0, v3))
% 11.71/3.36  | (16)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) |  ~ number_semiring(v1) |  ? [v3] : (semiring_1_of_nat(v1, v3) = v2 & ti(nat, v0) = v3))
% 11.71/3.36  | (17)  ? [v0] :  ? [v1] : (v1 = v0 | ord_less(int, v1, v0) | ord_less(int, v0, v1))
% 11.71/3.36  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v0) = v2) |  ~ ord_less(nat, v0, v1) | ord_less(nat, v2, v1))
% 11.71/3.36  | (19)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v0) = v2) |  ~ ord_less(nat, v2, v1) | ord_less(nat, v0, v1))
% 11.71/3.36  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8))
% 11.71/3.36  | (21)  ! [v0] :  ! [v1] : ( ~ (power_power(int, v0, all_0_2_2) = v1) |  ? [v2] : (power_power(int, v2, all_0_4_4) = v1 & power_power(int, v0, all_0_4_4) = v2))
% 11.71/3.36  | (22)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit0(v2) = v1) |  ~ (bit0(v2) = v0))
% 11.71/3.36  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = v1) & power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8))
% 11.71/3.36  | (24) one_one(nat) = all_0_0_0
% 11.71/3.36  | (25)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (undefined(v0) = v1) |  ~ (ti(v0, v1) = v2))
% 11.71/3.36  | (26) ti(int, t) = t
% 11.71/3.36  | (27)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit0(v1) = v2) |  ~ (bit0(v0) = v2))
% 11.71/3.36  | (28) plus_plus(int, all_0_9_9, all_0_8_8) = all_0_7_7
% 11.71/3.36  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v1, v3) = v4) |  ~ (plus_plus(int, v0, v2) = v3) |  ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4))
% 11.71/3.36  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) |  ~ (plus_plus(int, v0, v3) = v4) |  ? [v5] : (plus_plus(int, v5, v2) = v4 & plus_plus(int, v0, v1) = v5))
% 11.71/3.36  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ number_semiring(v2) |  ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4))
% 11.71/3.36  | (32) one_one(int) = all_0_9_9
% 11.71/3.36  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (plus_plus(v4, v3, v2) = v1) |  ~ (plus_plus(v4, v3, v2) = v0))
% 11.71/3.36  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit0(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3))
% 11.71/3.36  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit0(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1))
% 11.71/3.36  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v1, v3) |  ~ linordered_idom(v0) | ord_less(int, pls, v2))
% 11.71/3.36  | (37) semiring_1_of_nat(int, all_0_0_0) = all_0_9_9
% 11.71/3.36  | (38)  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) |  ? [v2] : (zero_zero(v0) = v2 &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v2 | v4 = all_0_1_1 |  ~ (power_power(v0, v2, v4) = v5) |  ~ (number_number_of(nat, v3) = v4)) &  ! [v3] :  ! [v4] : (v4 = v1 |  ~ (power_power(v0, v2, all_0_1_1) = v4) |  ~ (number_number_of(nat, v3) = all_0_1_1)) &  ! [v3] :  ! [v4] : (v4 = all_0_1_1 |  ~ (number_number_of(nat, v3) = v4) | power_power(v0, v2, v4) = v2) &  ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v2, all_0_1_1) = v1)))
% 11.71/3.36  | (39) semiring_1(nat)
% 11.71/3.36  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (number_number_of(v0, v2) = v3) |  ~ (number_number_of(v0, v1) = v3) |  ~ ring_char_0(v0) |  ~ number_ring(v0))
% 11.71/3.37  | (41)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) |  ? [v2] : (one_one(v0) = v2 &  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (power_power(v0, v1, all_0_1_1) = v4) |  ~ (number_number_of(nat, v3) = all_0_1_1)) &  ! [v3] : ( ~ (number_number_of(nat, v3) = all_0_1_1) | power_power(v0, v1, all_0_1_1) = v2)))
% 11.71/3.37  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(nat, v1) = v2) |  ~ (number_number_of(nat, v0) = v3) |  ~ (plus_plus(nat, v2, v3) = v4) | ord_less(int, v1, pls) | ord_less(int, v0, pls) |  ? [v5] : (number_number_of(nat, v5) = v4 & plus_plus(int, v1, v0) = v5))
% 12.21/3.37  | (43) bit1(pls) = all_0_6_6
% 12.21/3.37  | (44)  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) | ti(v0, v1) = v1)
% 12.21/3.37  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v1, v2) = v3) |  ~ (plus_plus(int, v0, v3) = v4) |  ? [v5] : (plus_plus(int, v1, v5) = v4 & plus_plus(int, v0, v2) = v5))
% 12.21/3.37  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4)
% 12.21/3.37  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v1) |  ~ linordered_idom(v0) | (ti(v0, v3) = v1 & ti(v0, v2) = v1))
% 12.21/3.37  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(int, v2, v1) = v3) |  ~ (semiring_1_of_nat(int, v0) = v2) |  ? [v4] : (power_power(nat, v0, v1) = v4 & semiring_1_of_nat(int, v4) = v3))
% 12.21/3.37  | (49)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (semiring_1_of_nat(v0, v1) = v2) |  ~ number_semiring(v0) |  ? [v3] : (semiring_1_of_nat(int, v1) = v3 & number_number_of(v0, v3) = v2))
% 12.21/3.37  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4))
% 12.21/3.37  | (51)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit1(v2) = v1) |  ~ (bit1(v2) = v0))
% 12.21/3.37  | (52)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1)
% 12.21/3.37  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ linord219039673up_add(v2) |  ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4))
% 12.21/3.37  | (54)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0) | ti(v0, v1) = v1)
% 12.21/3.37  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0) | ord_less(int, v2, all_0_6_6))
% 12.21/3.37  | (56)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(nat, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (semiring_1_of_nat(int, v2) = v5 & semiring_1_of_nat(int, v1) = v4 & semiring_1_of_nat(int, v0) = v3 & plus_plus(int, v3, v4) = v5))
% 12.21/3.37  | (57) zero_neq_one(int)
% 12.21/3.37  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(int, v1) = v3) |  ~ (number_number_of(int, v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (number_number_of(int, v5) = v4 & plus_plus(int, v0, v1) = v5))
% 12.21/3.37  | (59)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, v0, pls) | ord_less(int, v1, pls))
% 12.21/3.37  | (60)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, v1, pls) | ord_less(int, v0, pls))
% 12.21/3.37  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v2, v0) = v4) |  ~ (plus_plus(int, v1, v0) = v3) |  ~ ord_less(int, v1, v2) | ord_less(int, v3, v4))
% 12.21/3.37  | (62) zero_zero(int) = pls
% 12.21/3.37  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (semiring_1_of_nat(int, v3) = v4) |  ~ (plus_plus(nat, v0, v1) = v3) |  ~ (plus_plus(int, v4, v2) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : (semiring_1_of_nat(int, v1) = v7 & semiring_1_of_nat(int, v0) = v6 & plus_plus(int, v7, v2) = v8 & plus_plus(int, v6, v8) = v5))
% 12.21/3.37  | (64)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v1, v2) = v3) |  ~ (ti(int, v0) = v2) |  ~ number(v1) | number_number_of(v1, v0) = v3)
% 12.21/3.37  | (65)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_power(nat, v0, v1) = v2) |  ? [v3] :  ? [v4] : (power_power(int, v3, v1) = v4 & semiring_1_of_nat(int, v2) = v4 & semiring_1_of_nat(int, v0) = v3))
% 12.21/3.37  | (66)  ! [v0] : (v0 = all_0_1_1 |  ~ (semiring_1_of_nat(int, v0) = pls))
% 12.21/3.37  | (67) semiring_1_of_nat(int, n) = all_0_8_8
% 12.21/3.37  | (68)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (power_power(v0, v1, all_0_4_4) = v2) |  ~ (one_one(v0) = v1) |  ~ semiring_1(v0))
% 12.21/3.37  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v0) = v3) |  ~ ord_less(v2, v0, v1) |  ~ linordered_idom(v2) | ord_less(v2, v3, v1))
% 12.21/3.37  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (plus_plus(v0, v1, v3) = v4) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, all_0_6_6, v2) = v5))
% 12.21/3.37  | (71)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0))
% 12.21/3.37  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(nat, v3) = all_0_1_1) |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v4) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) |  ? [v5] : ( ~ (v5 = v1) & power_power(v0, v2, all_0_1_1) = v5))
% 12.21/3.37  | (73)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = all_0_1_1 |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) | power_power(v0, v2, v4) = v1)
% 12.21/3.37  | (74)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, pls, v2) |  ~ linordered_idom(v0) | ord_less(v0, v1, v3))
% 12.21/3.37  | (75) semiring_0(int)
% 12.21/3.37  | (76) semiring_1(int)
% 12.21/3.37  | (77)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (number_number_of(nat, v1) = v2) |  ~ (number_number_of(nat, v0) = v3) |  ~ (plus_plus(nat, v2, v3) = v4) |  ~ ord_less(int, v1, pls))
% 12.21/3.37  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v1 |  ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v6) |  ~ linordered_idom(v0) |  ? [v7] :  ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) |  ~ (v7 = v1))))
% 12.21/3.37  | (79) number_number_of(nat, all_0_3_3) = all_0_2_2
% 12.21/3.37  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (semiring_1_of_nat(int, v1) = v2) |  ~ (number_number_of(v0, v2) = v3) |  ~ number_semiring(v0) | semiring_1_of_nat(v0, v1) = v3)
% 12.21/3.37  | (81) linordered_idom(int)
% 12.21/3.37  | (82)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (plus_plus(v0, v3, v1) = v4) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v5) = v4 & plus_plus(int, v2, all_0_6_6) = v5))
% 12.21/3.37  | (83)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (number_number_of(int, v2) = v5 & number_number_of(int, v1) = v4 & number_number_of(int, v0) = v3 & plus_plus(int, v3, v4) = v5))
% 12.21/3.37  | (84)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ number_semiring(v0) | number_number_of(v0, pls) = v1)
% 12.21/3.37  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) | ti(v2, v3) = v3)
% 12.21/3.37  | (86) power(int)
% 12.21/3.37  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, all_0_6_6, v2) |  ~ linordered_idom(v0) | ord_less(v0, v1, v3))
% 12.21/3.37  | (88) power(nat)
% 12.21/3.37  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4)
% 12.21/3.37  | (90) number_semiring(int)
% 12.21/3.37  | (91)  ! [v0] :  ! [v1] : ( ~ (plus_plus(int, v0, all_0_9_9) = v1) | ord_less(int, v0, v1))
% 12.21/3.37  | (92)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (semiring_1_of_nat(v1, v0) = v2) |  ~ number_semiring(v1) | ti(v1, v2) = v2)
% 12.21/3.37  | (93) semiring_1_of_nat(int, all_0_1_1) = pls
% 12.21/3.37  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (semiring_1_of_nat(v1, v0) = v2) |  ~ (ti(v1, v2) = v3) |  ~ number_semiring(v1))
% 12.21/3.37  | (95)  ! [v0] :  ~ (bit1(v0) = pls)
% 12.21/3.37  | (96)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v1 | v3 = all_0_1_1 |  ~ (power_power(v0, v1, v3) = v4) |  ~ (number_number_of(nat, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ semiring_0(v0) |  ~ power(v0))
% 12.21/3.37  | (97)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(int, v3, v2) = v4) |  ~ (plus_plus(int, v0, v1) = v3) |  ? [v5] : (plus_plus(int, v1, v2) = v5 & plus_plus(int, v0, v5) = v4))
% 12.21/3.37  | (98)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (power_power(v0, v2, all_0_4_4) = v1) |  ~ (zero_zero(v0) = v1) |  ~ ring_11004092258visors(v0) | ti(v0, v2) = v1)
% 12.21/3.37  | (99) number_ring(int)
% 12.21/3.38  | (100)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v3) |  ~ ring_11004092258visors(v0) |  ? [v4] : ( ~ (v4 = v1) & power_power(v0, v2, all_0_4_4) = v4))
% 12.21/3.38  | (101)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (bit0(v2) = v5 & bit0(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5))
% 12.21/3.38  | (102)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4))
% 12.21/3.38  | (103)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v1) = v3) |  ~ (bit1(v0) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3))
% 12.21/3.38  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v1) = v3) |  ~ (bit1(v0) = v2) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1))
% 12.21/3.38  | (105)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) |  ~ (ti(nat, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4)
% 12.21/3.38  | (106)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (one_one(v2) = v1) |  ~ (one_one(v2) = v0))
% 12.21/3.38  | (107)  ! [v0] :  ! [v1] : ( ~ (ti(int, v0) = v1) |  ? [v2] : (bit1(v1) = v2 & bit1(v0) = v2))
% 12.21/3.38  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v3) |  ~ linordered_idom(v0) |  ? [v4] : (power_power(v0, v2, all_0_4_4) = v4 & ord_less(v0, v1, v4)))
% 12.21/3.38  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (plus_plus(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ number_semiring(v2))
% 12.21/3.38  | (110)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) | number_number_of(v0, pls) = v1)
% 12.21/3.38  | (111)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v3) |  ~ linord219039673up_add(v0) |  ? [v4] : ( ~ (v4 = v1) & plus_plus(v0, v2, v2) = v4))
% 12.21/3.38  | (112)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v3) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5))
% 12.21/3.38  | (113)  ! [v0] : (v0 = pls |  ~ (bit0(v0) = pls))
% 12.21/3.38  | (114)  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1)
% 12.21/3.38  | (115) number_number_of(int, pls) = pls
% 12.21/3.38  | (116)  ! [v0] :  ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1)
% 12.21/3.38  | (117)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (number_number_of(v3, v2) = v1) |  ~ (number_number_of(v3, v2) = v0))
% 12.21/3.38  | (118) semiring_0(nat)
% 12.21/3.38  | (119)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (zero_zero(v2) = v1) |  ~ (zero_zero(v2) = v0))
% 12.21/3.38  | (120)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v3) = v4) |  ~ (plus_plus(int, v1, v2) = v3) |  ~ number_ring(v0) |  ? [v5] :  ? [v6] : (number_number_of(v0, v2) = v6 & number_number_of(v0, v1) = v5 & plus_plus(v0, v5, v6) = v4))
% 12.21/3.38  | (121) number_number_of(int, all_0_6_6) = all_0_9_9
% 12.21/3.38  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (ti(v0, v2) = v3) |  ~ number_ring(v0) | plus_plus(v0, v1, v2) = v3)
% 12.21/3.38  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ linord219039673up_add(v2) | ti(v2, v3) = v3)
% 12.21/3.38  | (124) ord_less(int, pls, all_0_9_9)
% 12.21/3.38  | (125)  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) |  ~ number_ring(v0) |  ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2))
% 12.21/3.38  | (126)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (number_number_of(v1, v0) = v2) |  ~ (ti(v1, v2) = v3) |  ~ number(v1))
% 12.21/3.38  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v5) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) |  ? [v6] : ( ~ (v6 = v1) & power_power(v0, v2, v4) = v6))
% 12.21/3.38  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v3) |  ~ ord_less(v0, v2, v1) |  ~ linordered_idom(v0) | ord_less(v0, v3, v1))
% 12.21/3.38  | (129)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (semiring_1_of_nat(v1, v2) = v3) |  ~ (ti(nat, v0) = v2) |  ~ number_semiring(v1) | semiring_1_of_nat(v1, v0) = v3)
% 12.21/3.38  | (130)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linordered_idom(v0) |  ? [v4] :  ? [v5] :  ? [v6] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v6 &  ~ ord_less(v0, v1, v6)))
% 12.21/3.38  | (131)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v4) |  ~ (number_number_of(v0, v1) = v3) |  ~ number_ring(v0) |  ~ ord_less(int, v1, v2) |  ~ linordered_idom(v0) | ord_less(v0, v3, v4))
% 12.21/3.38  | (132)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (semiring_1_of_nat(int, v1) = v3) |  ~ (semiring_1_of_nat(int, v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (semiring_1_of_nat(int, v5) = v4 & plus_plus(nat, v0, v1) = v5))
% 12.21/3.38  | (133)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (plus_plus(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ linord219039673up_add(v2))
% 12.21/3.38  | (134)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0) | ord_less(int, v2, pls))
% 12.21/3.38  | (135) bit0(pls) = pls
% 12.21/3.38  | (136)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ number_semiring(v2) | ti(v2, v3) = v3)
% 12.21/3.38  | (137) number_number_of(nat, pls) = all_0_1_1
% 12.21/3.38  | (138)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (power_power(v0, v1, all_0_4_4) = v2) |  ~ (zero_zero(v0) = v1) |  ~ semiring_1(v0))
% 12.21/3.38  | (139)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (number_number_of(v0, v1) = v3) |  ~ (number_number_of(v0, v1) = v2) |  ~ ring_char_0(v0) |  ~ number_ring(v0))
% 12.21/3.38  | (140)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ ord_less(v0, v1, v3) |  ~ linordered_idom(v0) |  ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4))
% 12.21/3.38  | (141)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (semiring_1_of_nat(int, v1) = v2) |  ~ (semiring_1_of_nat(int, v0) = v2))
% 12.21/3.38  | (142)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (ti(v2, v0) = v3) |  ~ ord_less(v2, v3, v1) |  ~ linordered_idom(v2) | ord_less(v2, v0, v1))
% 12.21/3.38  | (143)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) |  ~ (plus_plus(int, all_0_9_9, v0) = v1) | bit1(v0) = v2)
% 12.21/3.38  | (144) ring_char_0(int)
% 12.21/3.38  | (145)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (number_number_of(nat, v1) = v2) |  ~ (number_number_of(nat, v0) = v3) |  ~ (plus_plus(nat, v2, v3) = v4) |  ~ ord_less(int, v0, pls) | ord_less(int, v1, pls))
% 12.21/3.38  | (146)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (power_power(v4, v3, v2) = v1) |  ~ (power_power(v4, v3, v2) = v0))
% 12.21/3.38  | (147)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (plus_plus(v0, v1, v2) = v3) |  ~ number_ring(v0) | ti(v0, v2) = v3)
% 12.21/3.38  | (148)  ! [v0] :  ! [v1] : ( ~ (semiring_1_of_nat(int, v0) = v1) |  ~ ord_less(int, v1, pls))
% 12.21/3.38  | (149) ti(nat, n) = n
% 12.21/3.38  | (150)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2))
% 12.21/3.38  | (151)  ~ (all_0_9_9 = pls)
% 12.21/3.38  | (152)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 12.21/3.38  | (153)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) |  ~ (ti(v2, v0) = v3) |  ~ semiring_0(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4)
% 12.21/3.38  | (154) ti(int, pls) = pls
% 12.21/3.38  | (155) number_number_of(nat, all_0_5_5) = all_0_4_4
% 12.21/3.38  | (156)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ semiring_0(v2) |  ~ power(v2) |  ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 12.21/3.38  | (157)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(int, v1) = v3) |  ~ (number_number_of(int, v0) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3))
% 12.21/3.38  | (158)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(int, v1) = v3) |  ~ (number_number_of(int, v0) = v2) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1))
% 12.21/3.38  | (159)  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2))
% 12.21/3.38  | (160)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (plus_plus(int, pls, v0) = v1))
% 12.21/3.38  | (161)  ! [v0] :  ! [v1] : ( ~ (one_one(v0) = v1) |  ~ number_ring(v0) | number_number_of(v0, all_0_6_6) = v1)
% 12.21/3.38  | (162)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, all_0_9_9) = v2) |  ~ ord_less(int, v0, v1) | ord_less(int, v0, v2))
% 12.21/3.38  | (163)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ linord219039673up_add(v0))
% 12.21/3.38  | (164) mult_zero(int)
% 12.21/3.38  | (165)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | plus_plus(int, v1, v0) = v2)
% 12.21/3.38  | (166)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | plus_plus(int, v0, v1) = v2)
% 12.21/3.38  | (167)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) | number_number_of(v0, all_0_5_5) = v2)
% 12.21/3.38  | (168)  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, pls) = v1) |  ~ number_semiring(v0) | zero_zero(v0) = v1)
% 12.21/3.39  | (169)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) |  ~ (plus_plus(int, all_0_9_9, v0) = v1) |  ~ ord_less(int, v0, pls) | ord_less(int, v2, pls))
% 12.21/3.39  | (170)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) |  ~ (plus_plus(int, all_0_9_9, v0) = v1) |  ~ ord_less(int, v2, pls) | ord_less(int, v0, pls))
% 12.21/3.39  | (171) ord_less(int, pls, all_0_7_7)
% 12.21/3.39  | (172) number_semiring(nat)
% 12.21/3.39  | (173)  ! [v0] :  ! [v1] : ( ~ (plus_plus(int, v1, v0) = pls) |  ~ (plus_plus(int, all_0_9_9, v0) = v1))
% 12.21/3.39  | (174)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ semiring_0(v0) |  ~ power(v0))
% 12.21/3.39  | (175)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) | ti(v0, v1) = v1)
% 12.21/3.39  | (176)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) |  ~ (ti(v2, v1) = v3) |  ~ linord219039673up_add(v2) | plus_plus(v2, v0, v1) = v4)
% 12.21/3.39  | (177)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v6) |  ~ ord_less(v0, v1, v6) |  ~ linordered_idom(v0) |  ? [v7] :  ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) |  ~ (v7 = v1))))
% 12.21/3.39  | (178)  ! [v0] :  ! [v1] : ( ~ (power_power(int, v0, all_0_4_4) = v1) |  ? [v2] : (power_power(int, v1, all_0_4_4) = v2 & power_power(int, v0, all_0_2_2) = v2))
% 12.21/3.39  | (179)  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1)
% 12.21/3.39  | (180)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, pls, v0) | ord_less(int, pls, v1))
% 12.21/3.39  | (181)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) |  ~ ord_less(int, pls, v1) | ord_less(int, pls, v0))
% 12.21/3.39  | (182)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (bit1(v1) = v2) |  ~ (bit0(v0) = v2))
% 12.21/3.39  | (183) zero_zero(nat) = all_0_1_1
% 12.21/3.39  | (184)  ! [v0] :  ! [v1] : ( ~ (plus_plus(int, v0, v0) = v1) | bit0(v0) = v1)
% 12.21/3.39  | (185)  ! [v0] :  ! [v1] : ( ~ (bit0(v0) = v1) | plus_plus(int, v0, v0) = v1)
% 12.21/3.39  | (186)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (undefined(v2) = v1) |  ~ (undefined(v2) = v0))
% 12.21/3.39  | (187)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (bit1(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (bit1(v5) = v4 & plus_plus(int, v0, v1) = v5))
% 12.21/3.39  | (188)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ number_semiring(v2) |  ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 12.21/3.39  | (189)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (ti(v0, v2) = v3) |  ~ (ti(v0, v1) = v2))
% 12.21/3.39  | (190)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8)))
% 12.21/3.39  | (191) number(nat)
% 12.21/3.39  | (192)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (bit1(v2) = v5 & bit1(v0) = v3 & bit0(v1) = v4 & plus_plus(int, v3, v4) = v5))
% 12.21/3.39  | (193)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (plus_plus(int, v0, pls) = v1))
% 12.21/3.39  | (194) mult_zero(nat)
% 12.21/3.39  | (195)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v3) = v4) |  ~ (plus_plus(int, v2, all_0_6_6) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v5, v1) = v4))
% 12.21/3.39  | (196)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) |  ~ (ti(nat, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) | power_power(v2, v0, v1) = v4)
% 12.21/3.39  | (197)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v1) |  ~ linord219039673up_add(v0) | ti(v0, v2) = v1)
% 12.21/3.39  | (198)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | ord_less(int, v1, pls) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (number_number_of(nat, v2) = v6 & number_number_of(nat, v1) = v3 & number_number_of(nat, v0) = v4 & plus_plus(nat, v3, v4) = v5 & (v6 = v5 | ord_less(int, v0, pls)) & (v5 = v3 |  ~ ord_less(int, v0, pls))))
% 12.21/3.39  | (199)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linord219039673up_add(v0) | plus_plus(v0, v2, v2) = v1)
% 12.21/3.39  | (200)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (power_power(v0, v3, all_0_4_4) = v5) |  ~ (power_power(v0, v2, all_0_4_4) = v4) |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v4, v5) = v6) |  ~ linordered_idom(v0) | ord_less(v0, v1, v6) | (ti(v0, v3) = v1 & ti(v0, v2) = v1))
% 12.21/3.39  | (201) number(int)
% 12.21/3.39  | (202)  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, all_0_5_5) = v1) |  ~ number_semiring(v0) |  ? [v2] : (plus_plus(v0, v2, v2) = v1 & one_one(v0) = v2))
% 12.21/3.39  | (203)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linordered_idom(v0) |  ? [v4] :  ? [v5] : (power_power(v0, v3, all_0_4_4) = v5 & power_power(v0, v2, all_0_4_4) = v4 & plus_plus(v0, v4, v5) = v1))
% 12.21/3.39  | (204)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (bit0(v0) = v2) |  ~ (bit0(v0) = v1))
% 12.21/3.39  | (205)  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ? [v2] : (plus_plus(int, v2, v0) = v1 & plus_plus(int, all_0_9_9, v0) = v2))
% 12.21/3.39  | (206)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (number_number_of(v0, v4) = v5) |  ~ (plus_plus(v0, v5, v3) = v6) |  ~ (plus_plus(int, v1, v2) = v4) |  ~ number_ring(v0) |  ? [v7] :  ? [v8] :  ? [v9] : (number_number_of(v0, v2) = v8 & number_number_of(v0, v1) = v7 & plus_plus(v0, v8, v3) = v9 & plus_plus(v0, v7, v9) = v6))
% 12.21/3.39  | (207)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ ring_11004092258visors(v0) |  ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4))
% 12.21/3.39  | (208)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (bit1(v0) = v2) |  ~ (bit1(v0) = v1))
% 12.21/3.39  | (209)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (power_power(v0, v2, v4) = v1) |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) | ti(v0, v2) = v1)
% 12.21/3.39  | (210) power_power(int, all_0_7_7, all_0_4_4) = pls
% 12.21/3.39  | (211)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) |  ~ linord219039673up_add(v2) |  ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 12.21/3.39  | (212)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (one_one(v0) = v1) |  ~ (ti(v0, v1) = v2) |  ~ semiring_0(v0) |  ~ power(v0))
% 12.21/3.39  | (213)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (bit1(v1) = v2) |  ~ (bit1(v0) = v2))
% 12.21/3.39  | (214)  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ~ ord_less(int, v0, pls) | ord_less(int, v1, pls))
% 12.21/3.39  | (215)  ! [v0] :  ! [v1] : ( ~ (bit1(v0) = v1) |  ~ ord_less(int, v1, pls) | ord_less(int, v0, pls))
% 12.21/3.39  | (216)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) |  ~ (ti(v2, v1) = v3) |  ~ number_semiring(v2) | plus_plus(v2, v0, v1) = v4)
% 12.21/3.39  | (217) no_zero_divisors(nat)
% 12.21/3.39  | (218)  ~ ord_less(int, pls, pls)
% 12.21/3.39  | (219) bit0(all_0_6_6) = all_0_5_5
% 12.21/3.39  | (220)  ! [v0] :  ! [v1] : ( ~ (zero_zero(v0) = v1) |  ~ linord219039673up_add(v0) | ti(v0, v1) = v1)
% 12.21/3.39  | (221) linord219039673up_add(int)
% 12.21/3.39  | (222)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (semiring_1_of_nat(int, v0) = v2) |  ~ (semiring_1_of_nat(int, v0) = v1))
% 12.21/3.39  | (223) ord_less(int, all_0_9_9, t)
% 12.21/3.39  | (224)  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, all_0_6_6) = v1) |  ~ number_ring(v0) | one_one(v0) = v1)
% 12.21/3.39  | (225)  ! [v0] :  ! [v1] : ( ~ (number_number_of(v0, pls) = v1) |  ~ number_ring(v0) | zero_zero(v0) = v1)
% 12.21/3.39  | (226) ord_less(nat, all_0_1_1, n)
% 12.21/3.39  | (227)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (number_number_of(v0, v2) = v5) |  ~ (number_number_of(v0, v1) = v4) |  ~ (plus_plus(v0, v5, v3) = v6) |  ~ (plus_plus(v0, v4, v6) = v7) |  ~ number_ring(v0) |  ? [v8] :  ? [v9] : (number_number_of(v0, v8) = v9 & plus_plus(v0, v9, v3) = v7 & plus_plus(int, v1, v2) = v8))
% 12.21/3.39  | (228)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v2))
% 12.21/3.39  | (229) ring_11004092258visors(int)
% 12.21/3.39  | (230)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v1 | v4 = all_0_1_1 |  ~ (power_power(v0, v2, v4) = v5) |  ~ (number_number_of(nat, v3) = v4) |  ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0) |  ? [v6] : ( ~ (v6 = v1) & ti(v0, v2) = v6))
% 12.21/3.39  | (231)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v3) |  ~ ord_less(int, v0, v1) | ord_less(int, v2, v3))
% 12.21/3.39  | (232)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (bit1(v0) = v2) |  ~ (bit0(v1) = v3) |  ~ ord_less(int, v2, v3) | ord_less(int, v0, v1))
% 12.21/3.39  | (233)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (plus_plus(v0, v2, v1) = v3) |  ~ number_ring(v0) | ti(v0, v2) = v3)
% 12.21/3.39  | (234)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_1_1) = v1) |  ~ (number_number_of(nat, v3) = all_0_1_1) |  ~ (zero_zero(v0) = v1) |  ~ zero_neq_one(v0) |  ~ no_zero_divisors(v0) |  ~ mult_zero(v0) |  ~ power(v0))
% 12.21/3.39  | (235)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (zero_zero(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, v2, pls) |  ~ linordered_idom(v0) | ord_less(v0, v3, v1))
% 12.21/3.40  | (236)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (bit1(v2) = v5 & bit1(v1) = v4 & bit0(v0) = v3 & plus_plus(int, v3, v4) = v5))
% 12.21/3.40  | (237)  ! [v0] :  ! [v1] : ( ~ (ti(int, v0) = v1) |  ? [v2] : (bit0(v1) = v2 & bit0(v0) = v2))
% 12.21/3.40  | (238) zero_neq_one(nat)
% 12.21/3.40  | (239)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v1) = v2) |  ~ ord_less(nat, v0, v1) | ord_less(nat, v0, v2))
% 12.21/3.40  | (240)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(nat, v1) = v2) |  ~ ord_less(nat, v0, v2) | ord_less(nat, v0, v1))
% 12.21/3.40  | (241)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v3) = v4) |  ~ (plus_plus(int, all_0_6_6, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v1, v5) = v4))
% 12.21/3.40  | (242)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v2) = v1) |  ~ linordered_idom(v0) |  ? [v3] : (power_power(v0, v2, all_0_4_4) = v3 &  ~ ord_less(v0, v1, v3)))
% 12.21/3.40  | (243)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (number_number_of(v0, v2) = v4) |  ~ (number_number_of(v0, v1) = v3) |  ~ (plus_plus(v0, v3, v4) = v5) |  ~ number_ring(v0) |  ? [v6] : (number_number_of(v0, v6) = v5 & plus_plus(int, v1, v2) = v6))
% 12.21/3.40  | (244)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (semiring_1_of_nat(int, v1) = v4) |  ~ (semiring_1_of_nat(int, v0) = v3) |  ~ (plus_plus(int, v4, v2) = v5) |  ~ (plus_plus(int, v3, v5) = v6) |  ? [v7] :  ? [v8] : (semiring_1_of_nat(int, v7) = v8 & plus_plus(nat, v0, v1) = v7 & plus_plus(int, v8, v2) = v6))
% 12.21/3.40  | (245)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (number_number_of(v0, v2) = v4) |  ~ (number_number_of(v0, v1) = v3) |  ~ number_ring(v0) |  ~ ord_less(v0, v3, v4) |  ~ linordered_idom(v0) | ord_less(int, v1, v2))
% 12.21/3.40  | (246)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (ti(v3, v2) = v1) |  ~ (ti(v3, v2) = v0))
% 12.21/3.40  | (247)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (number_number_of(v1, v0) = v2) |  ~ number(v1) |  ? [v3] : (number_number_of(v1, v3) = v2 & ti(int, v0) = v3))
% 12.21/3.40  | (248)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (power_power(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2))
% 12.21/3.40  | (249)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (plus_plus(v0, v2, v2) = v3) |  ~ linord219039673up_add(v0) |  ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4))
% 12.21/3.40  | (250)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) |  ~ (zero_zero(v0) = v1) |  ~ ord_less(v0, v3, v1) |  ~ linordered_idom(v0))
% 12.21/3.40  | (251)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (plus_plus(v0, v1, v1) = v2) |  ~ (one_one(v0) = v1) |  ~ number_semiring(v0) | number_number_of(v0, all_0_5_5) = v2)
% 12.21/3.40  | (252)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (power_power(v2, v0, v1) = v3) |  ~ (ti(v2, v3) = v4) |  ~ semiring_0(v2) |  ~ power(v2))
% 12.21/3.40  | (253) bit0(all_0_5_5) = all_0_3_3
% 12.21/3.40  | (254)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (number_number_of(v1, v0) = v2) |  ~ number(v1) | ti(v1, v2) = v2)
% 12.21/3.40  | (255)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, pls) = v1) |  ~ (ti(v0, v2) = v3) |  ~ number_ring(v0) | plus_plus(v0, v2, v1) = v3)
% 12.21/3.40  | (256)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (bit0(v1) = v3) |  ~ (bit0(v0) = v2) |  ~ (plus_plus(int, v2, v3) = v4) |  ? [v5] : (bit0(v5) = v4 & plus_plus(int, v0, v1) = v5))
% 12.21/3.40  | (257)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (number_number_of(v0, v2) = v3) |  ~ (one_one(v0) = v1) |  ~ number_ring(v0) |  ~ ord_less(int, v2, all_0_6_6) |  ~ linordered_idom(v0) | ord_less(v0, v3, v1))
% 12.21/3.40  | (258)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v1 |  ~ (zero_zero(v0) = v1) |  ~ (ti(v0, v3) = v5) |  ~ (ti(v0, v2) = v4) |  ~ linordered_idom(v0) |  ? [v6] :  ? [v7] :  ? [v8] : (power_power(v0, v3, all_0_4_4) = v7 & power_power(v0, v2, all_0_4_4) = v6 & plus_plus(v0, v6, v7) = v8 & ord_less(v0, v1, v8)))
% 12.21/3.40  | (259)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) |  ~ zero_neq_one(v2) |  ~ no_zero_divisors(v2) |  ~ mult_zero(v2) |  ~ power(v2) | ti(v2, v3) = v3)
% 12.21/3.40  | (260) plus_plus(nat, all_0_0_0, all_0_0_0) = all_0_4_4
% 12.21/3.40  | (261)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2)
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (178) with pls, all_0_7_7 and discharging atoms power_power(int, all_0_7_7, all_0_4_4) = pls, yields:
% 12.21/3.40  | (262)  ? [v0] : (power_power(int, all_0_7_7, all_0_2_2) = v0 & power_power(int, pls, all_0_4_4) = v0)
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (52) with pls, int and discharging atoms zero_zero(int) = pls, semiring_1(int), yields:
% 12.21/3.40  | (263) power_power(int, pls, all_0_4_4) = pls
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (130) with pls, pls, pls, int and discharging atoms zero_zero(int) = pls, ti(int, pls) = pls, linordered_idom(int), yields:
% 12.21/3.40  | (264)  ? [v0] :  ? [v1] :  ? [v2] : (power_power(int, pls, all_0_4_4) = v1 & power_power(int, pls, all_0_4_4) = v0 & plus_plus(int, v0, v1) = v2 &  ~ ord_less(int, pls, v2))
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (203) with pls, pls, pls, int and discharging atoms zero_zero(int) = pls, ti(int, pls) = pls, linordered_idom(int), yields:
% 12.21/3.40  | (265)  ? [v0] :  ? [v1] : (power_power(int, pls, all_0_4_4) = v1 & power_power(int, pls, all_0_4_4) = v0 & plus_plus(int, v0, v1) = pls)
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (242) with pls, pls, int and discharging atoms zero_zero(int) = pls, ti(int, pls) = pls, linordered_idom(int), yields:
% 12.21/3.40  | (266)  ? [v0] : (power_power(int, pls, all_0_4_4) = v0 &  ~ ord_less(int, pls, v0))
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (123) with all_0_7_7, int, all_0_8_8, all_0_9_9 and discharging atoms plus_plus(int, all_0_9_9, all_0_8_8) = all_0_7_7, linord219039673up_add(int), yields:
% 12.21/3.40  | (267) ti(int, all_0_7_7) = all_0_7_7
% 12.21/3.40  |
% 12.21/3.40  | Instantiating formula (209) with all_0_4_4, all_0_5_5, all_0_7_7, pls, int and discharging atoms power_power(int, all_0_7_7, all_0_4_4) = pls, number_number_of(nat, all_0_5_5) = all_0_4_4, zero_zero(int) = pls, zero_neq_one(int), no_zero_divisors(int), mult_zero(int), power(int), yields:
% 12.38/3.40  | (268) ti(int, all_0_7_7) = pls
% 12.38/3.40  |
% 12.38/3.40  | Instantiating formula (156) with pls, int, all_0_4_4, all_0_7_7 and discharging atoms power_power(int, all_0_7_7, all_0_4_4) = pls, semiring_0(int), power(int), yields:
% 12.38/3.40  | (269)  ? [v0] : (power_power(int, v0, all_0_4_4) = pls & ti(int, all_0_7_7) = v0)
% 12.38/3.40  |
% 12.38/3.40  | Instantiating (266) with all_32_0_27 yields:
% 12.38/3.40  | (270) power_power(int, pls, all_0_4_4) = all_32_0_27 &  ~ ord_less(int, pls, all_32_0_27)
% 12.38/3.40  |
% 12.38/3.40  | Applying alpha-rule on (270) yields:
% 12.38/3.40  | (271) power_power(int, pls, all_0_4_4) = all_32_0_27
% 12.38/3.40  | (272)  ~ ord_less(int, pls, all_32_0_27)
% 12.38/3.40  |
% 12.38/3.40  | Instantiating (265) with all_34_0_28, all_34_1_29 yields:
% 12.38/3.40  | (273) power_power(int, pls, all_0_4_4) = all_34_0_28 & power_power(int, pls, all_0_4_4) = all_34_1_29 & plus_plus(int, all_34_1_29, all_34_0_28) = pls
% 12.38/3.40  |
% 12.38/3.40  | Applying alpha-rule on (273) yields:
% 12.38/3.40  | (274) power_power(int, pls, all_0_4_4) = all_34_0_28
% 12.38/3.40  | (275) power_power(int, pls, all_0_4_4) = all_34_1_29
% 12.38/3.40  | (276) plus_plus(int, all_34_1_29, all_34_0_28) = pls
% 12.38/3.40  |
% 12.38/3.40  | Instantiating (264) with all_36_0_30, all_36_1_31, all_36_2_32 yields:
% 12.38/3.40  | (277) power_power(int, pls, all_0_4_4) = all_36_1_31 & power_power(int, pls, all_0_4_4) = all_36_2_32 & plus_plus(int, all_36_2_32, all_36_1_31) = all_36_0_30 &  ~ ord_less(int, pls, all_36_0_30)
% 12.38/3.40  |
% 12.38/3.40  | Applying alpha-rule on (277) yields:
% 12.38/3.40  | (278) power_power(int, pls, all_0_4_4) = all_36_1_31
% 12.38/3.40  | (279) power_power(int, pls, all_0_4_4) = all_36_2_32
% 12.38/3.40  | (280) plus_plus(int, all_36_2_32, all_36_1_31) = all_36_0_30
% 12.38/3.40  | (281)  ~ ord_less(int, pls, all_36_0_30)
% 12.38/3.40  |
% 12.38/3.40  | Instantiating (262) with all_66_0_49 yields:
% 12.38/3.40  | (282) power_power(int, all_0_7_7, all_0_2_2) = all_66_0_49 & power_power(int, pls, all_0_4_4) = all_66_0_49
% 12.38/3.40  |
% 12.38/3.40  | Applying alpha-rule on (282) yields:
% 12.38/3.40  | (283) power_power(int, all_0_7_7, all_0_2_2) = all_66_0_49
% 12.38/3.40  | (284) power_power(int, pls, all_0_4_4) = all_66_0_49
% 12.38/3.40  |
% 12.38/3.40  | Instantiating (269) with all_84_0_56 yields:
% 12.38/3.40  | (285) power_power(int, all_84_0_56, all_0_4_4) = pls & ti(int, all_0_7_7) = all_84_0_56
% 12.38/3.40  |
% 12.38/3.40  | Applying alpha-rule on (285) yields:
% 12.38/3.40  | (286) power_power(int, all_84_0_56, all_0_4_4) = pls
% 12.38/3.40  | (287) ti(int, all_0_7_7) = all_84_0_56
% 12.38/3.40  |
% 12.38/3.40  | Instantiating formula (146) with int, pls, all_0_4_4, all_36_1_31, all_66_0_49 and discharging atoms power_power(int, pls, all_0_4_4) = all_66_0_49, power_power(int, pls, all_0_4_4) = all_36_1_31, yields:
% 12.38/3.40  | (288) all_66_0_49 = all_36_1_31
% 12.38/3.40  |
% 12.38/3.40  | Instantiating formula (146) with int, pls, all_0_4_4, all_36_2_32, all_36_1_31 and discharging atoms power_power(int, pls, all_0_4_4) = all_36_1_31, power_power(int, pls, all_0_4_4) = all_36_2_32, yields:
% 12.38/3.40  | (289) all_36_1_31 = all_36_2_32
% 12.38/3.40  |
% 12.38/3.40  | Instantiating formula (146) with int, pls, all_0_4_4, all_34_0_28, all_66_0_49 and discharging atoms power_power(int, pls, all_0_4_4) = all_66_0_49, power_power(int, pls, all_0_4_4) = all_34_0_28, yields:
% 12.38/3.41  | (290) all_66_0_49 = all_34_0_28
% 12.38/3.41  |
% 12.38/3.41  | Instantiating formula (146) with int, pls, all_0_4_4, all_34_1_29, all_36_1_31 and discharging atoms power_power(int, pls, all_0_4_4) = all_36_1_31, power_power(int, pls, all_0_4_4) = all_34_1_29, yields:
% 12.38/3.41  | (291) all_36_1_31 = all_34_1_29
% 12.38/3.41  |
% 12.38/3.41  | Instantiating formula (146) with int, pls, all_0_4_4, all_32_0_27, all_36_2_32 and discharging atoms power_power(int, pls, all_0_4_4) = all_36_2_32, power_power(int, pls, all_0_4_4) = all_32_0_27, yields:
% 12.38/3.41  | (292) all_36_2_32 = all_32_0_27
% 12.38/3.41  |
% 12.38/3.41  | Instantiating formula (146) with int, pls, all_0_4_4, pls, all_34_1_29 and discharging atoms power_power(int, pls, all_0_4_4) = all_34_1_29, power_power(int, pls, all_0_4_4) = pls, yields:
% 12.38/3.41  | (293) all_34_1_29 = pls
% 12.38/3.41  |
% 12.38/3.41  | Instantiating formula (246) with int, all_0_7_7, all_0_7_7, all_84_0_56 and discharging atoms ti(int, all_0_7_7) = all_84_0_56, ti(int, all_0_7_7) = all_0_7_7, yields:
% 12.38/3.41  | (294) all_84_0_56 = all_0_7_7
% 12.38/3.41  |
% 12.38/3.41  | Instantiating formula (246) with int, all_0_7_7, pls, all_84_0_56 and discharging atoms ti(int, all_0_7_7) = all_84_0_56, ti(int, all_0_7_7) = pls, yields:
% 12.38/3.41  | (295) all_84_0_56 = pls
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (295,294) yields a new equation:
% 12.38/3.41  | (296) all_0_7_7 = pls
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (288,290) yields a new equation:
% 12.38/3.41  | (297) all_36_1_31 = all_34_0_28
% 12.38/3.41  |
% 12.38/3.41  | Simplifying 297 yields:
% 12.38/3.41  | (298) all_36_1_31 = all_34_0_28
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (289,298) yields a new equation:
% 12.38/3.41  | (299) all_36_2_32 = all_34_0_28
% 12.38/3.41  |
% 12.38/3.41  | Simplifying 299 yields:
% 12.38/3.41  | (300) all_36_2_32 = all_34_0_28
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (291,298) yields a new equation:
% 12.38/3.41  | (301) all_34_0_28 = all_34_1_29
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (300,292) yields a new equation:
% 12.38/3.41  | (302) all_34_0_28 = all_32_0_27
% 12.38/3.41  |
% 12.38/3.41  | Simplifying 302 yields:
% 12.38/3.41  | (303) all_34_0_28 = all_32_0_27
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (301,303) yields a new equation:
% 12.38/3.41  | (304) all_34_1_29 = all_32_0_27
% 12.38/3.41  |
% 12.38/3.41  | Simplifying 304 yields:
% 12.38/3.41  | (305) all_34_1_29 = all_32_0_27
% 12.38/3.41  |
% 12.38/3.41  | Combining equations (305,293) yields a new equation:
% 12.38/3.41  | (306) all_32_0_27 = pls
% 12.38/3.41  |
% 12.38/3.41  | Simplifying 306 yields:
% 12.38/3.41  | (307) all_32_0_27 = pls
% 12.38/3.41  |
% 12.38/3.41  | From (296) and (171) follows:
% 12.38/3.41  | (308) ord_less(int, pls, pls)
% 12.38/3.41  |
% 12.38/3.41  | From (307) and (272) follows:
% 12.38/3.41  | (218)  ~ ord_less(int, pls, pls)
% 12.38/3.41  |
% 12.38/3.41  | Using (308) and (218) yields:
% 12.38/3.41  | (310) $false
% 12.38/3.41  |
% 12.38/3.41  |-The branch is then unsatisfiable
% 12.38/3.41  % SZS output end Proof for theBenchmark
% 12.38/3.41  
% 12.38/3.41  2811ms
%------------------------------------------------------------------------------