TSTP Solution File: NUM924+5 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM924+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 08:49:43 EDT 2022
% Result : Theorem 8.06s 2.39s
% Output : Proof 13.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM924+5 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n008.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 21:34:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.58 ____ _
% 0.51/0.58 ___ / __ \_____(_)___ ________ __________
% 0.51/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.58
% 0.51/0.58 A Theorem Prover for First-Order Logic
% 0.51/0.58 (ePrincess v.1.0)
% 0.51/0.58
% 0.51/0.58 (c) Philipp Rümmer, 2009-2015
% 0.51/0.58 (c) Peter Backeman, 2014-2015
% 0.51/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.58 Bug reports to peter@backeman.se
% 0.51/0.58
% 0.51/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.58
% 0.51/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.51/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.42/1.10 Prover 0: Preprocessing ...
% 5.44/1.79 Prover 0: Warning: ignoring some quantifiers
% 5.68/1.83 Prover 0: Constructing countermodel ...
% 8.06/2.39 Prover 0: proved (1763ms)
% 8.06/2.39
% 8.06/2.39 No countermodel exists, formula is valid
% 8.06/2.39 % SZS status Theorem for theBenchmark
% 8.06/2.39
% 8.06/2.39 Generating proof ... Warning: ignoring some quantifiers
% 12.42/3.45 found it (size 10)
% 12.42/3.45
% 12.42/3.45 % SZS output start Proof for theBenchmark
% 12.42/3.45 Assumed formulas after preprocessing and simplification:
% 12.42/3.45 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (power_power(int, s, v10) = v11 & number_number_of(nat, v3) = v10 & number_number_of(nat, v2) = v13 & number_number_of(nat, pls) = v12 & number_number_of(int, v4) = v5 & number_number_of(int, pls) = v0 & bit1(pls) = v2 & bit0(v3) = v4 & bit0(v2) = v3 & zero_zero(nat) = v12 & zero_zero(int) = v0 & times_times(int, v7, v14) = v8 & times_times(int, v7, v0) = v9 & times_times(int, v7, t) = v8 & times_times(int, v5, m) = v6 & plus_plus(nat, v13, v13) = v10 & plus_plus(int, v11, v1) = v8 & plus_plus(int, v6, v1) = v7 & one_one(nat) = v13 & one_one(int) = v1 & ti(int, t) = t & ti(int, s) = s & ti(int, m) = m & ti(int, pls) = pls & ring_char_0(int) & linord581940658strict(int) & number_semiring(nat) & number_semiring(int) & number_ring(int) & ring_11004092258visors(int) & twoSqu33214720sum2sq(v8) & ord_less_eq(int, pls, pls) & linordered_idom(int) & ord_less(int, v8, v9) & ord_less(int, v0, v7) & ord_less(int, t, v7) & ord_less(int, t, v1) & ord_less(int, t, v0) & linorder(nat) & linorder(int) & zprime(v7) & linordered_ring(int) & semiring(nat) & semiring(int) & number(nat) & number(int) & semiring_1(nat) & semiring_1(int) & ~ ord_less_eq(int, v1, t) & ~ ord_less(int, v8, v0) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (number_number_of(v15, v18) = v19) | ~ (times_times(v15, v17, v19) = v21) | ~ (times_times(v15, v16, v19) = v20) | ~ (plus_plus(v15, v20, v21) = v22) | ~ semiring(v15) | ~ number(v15) | ? [v23] : (times_times(v15, v23, v19) = v22 & plus_plus(v15, v16, v17) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (number_number_of(v15, v17) = v20) | ~ (number_number_of(v15, v16) = v19) | ~ (times_times(v15, v20, v18) = v21) | ~ (times_times(v15, v19, v21) = v22) | ~ number_ring(v15) | ? [v23] : ? [v24] : (number_number_of(v15, v23) = v24 & times_times(v15, v24, v18) = v22 & times_times(int, v16, v17) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (number_number_of(v15, v16) = v19) | ~ (times_times(v15, v19, v18) = v21) | ~ (times_times(v15, v19, v17) = v20) | ~ (plus_plus(v15, v20, v21) = v22) | ~ semiring(v15) | ~ number(v15) | ? [v23] : (times_times(v15, v19, v23) = v22 & plus_plus(v15, v17, v18) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v16 | ~ (power_power(v15, v18, v10) = v20) | ~ (power_power(v15, v17, v10) = v19) | ~ (zero_zero(v15) = v16) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linordered_idom(v15) | ? [v22] : ? [v23] : (ti(v15, v18) = v23 & ti(v15, v17) = v22 & ( ~ (v23 = v16) | ~ (v22 = v16)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v16 | ~ (zero_zero(v15) = v16) | ~ (times_times(v15, v18, v18) = v20) | ~ (times_times(v15, v17, v17) = v19) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linord581940658strict(v15) | ? [v22] : ? [v23] : (ti(v15, v18) = v23 & ti(v15, v17) = v22 & ( ~ (v23 = v16) | ~ (v22 = v16)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (power_power(v15, v18, v10) = v20) | ~ (power_power(v15, v17, v10) = v19) | ~ (zero_zero(v15) = v16) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linordered_idom(v15) | ~ ord_less(v15, v21, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (power_power(v15, v18, v10) = v20) | ~ (power_power(v15, v17, v10) = v19) | ~ (zero_zero(v15) = v16) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linordered_idom(v15) | ~ ord_less(v15, v16, v21) | ? [v22] : ? [v23] : (ti(v15, v18) = v23 & ti(v15, v17) = v22 & ( ~ (v23 = v16) | ~ (v22 = v16)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (power_power(v15, v18, v10) = v20) | ~ (power_power(v15, v17, v10) = v19) | ~ (zero_zero(v15) = v16) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linordered_idom(v15) | ord_less(v15, v16, v21) | (ti(v15, v18) = v16 & ti(v15, v17) = v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (number_number_of(v15, v19) = v20) | ~ (times_times(v15, v20, v18) = v21) | ~ (times_times(int, v16, v17) = v19) | ~ number_ring(v15) | ? [v22] : ? [v23] : ? [v24] : (number_number_of(v15, v17) = v23 & number_number_of(v15, v16) = v22 & times_times(v15, v23, v18) = v24 & times_times(v15, v22, v24) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (number_number_of(v15, v18) = v20) | ~ (times_times(v15, v19, v20) = v21) | ~ (plus_plus(v15, v16, v17) = v19) | ~ semiring(v15) | ~ number(v15) | ? [v22] : ? [v23] : (times_times(v15, v17, v20) = v23 & times_times(v15, v16, v20) = v22 & plus_plus(v15, v22, v23) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (number_number_of(v15, v16) = v19) | ~ (times_times(v15, v19, v20) = v21) | ~ (plus_plus(v15, v17, v18) = v20) | ~ semiring(v15) | ~ number(v15) | ? [v22] : ? [v23] : (times_times(v15, v19, v18) = v23 & times_times(v15, v19, v17) = v22 & plus_plus(v15, v22, v23) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (zero_zero(v15) = v16) | ~ (times_times(v15, v18, v18) = v20) | ~ (times_times(v15, v17, v17) = v19) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linord581940658strict(v15) | ~ ord_less_eq(v15, v21, v16) | (ti(v15, v18) = v16 & ti(v15, v17) = v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (zero_zero(v15) = v16) | ~ (times_times(v15, v18, v18) = v20) | ~ (times_times(v15, v17, v17) = v19) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linord581940658strict(v15) | ord_less_eq(v15, v21, v16) | ? [v22] : ? [v23] : (ti(v15, v18) = v23 & ti(v15, v17) = v22 & ( ~ (v23 = v16) | ~ (v22 = v16)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (zero_zero(v15) = v16) | ~ (times_times(v15, v18, v18) = v20) | ~ (times_times(v15, v17, v17) = v19) | ~ (plus_plus(v15, v19, v20) = v21) | ~ linordered_ring(v15) | ord_less_eq(v15, v16, v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linord581940658strict(v15) | ? [v21] : ? [v22] : ? [v23] : ( ~ (v23 = v16) & times_times(v15, v18, v18) = v22 & times_times(v15, v17, v17) = v21 & plus_plus(v15, v21, v22) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linord581940658strict(v15) | ? [v21] : ? [v22] : ? [v23] : (times_times(v15, v18, v18) = v22 & times_times(v15, v17, v17) = v21 & plus_plus(v15, v21, v22) = v23 & ~ ord_less_eq(v15, v23, v16))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linordered_idom(v15) | ? [v21] : ? [v22] : ? [v23] : ( ~ (v23 = v16) & power_power(v15, v18, v10) = v22 & power_power(v15, v17, v10) = v21 & plus_plus(v15, v21, v22) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linordered_idom(v15) | ? [v21] : ? [v22] : ? [v23] : (power_power(v15, v18, v10) = v22 & power_power(v15, v17, v10) = v21 & plus_plus(v15, v21, v22) = v23 & ord_less(v15, v16, v23))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linord581940658strict(v15) | ? [v21] : ? [v22] : ? [v23] : ( ~ (v23 = v16) & times_times(v15, v18, v18) = v22 & times_times(v15, v17, v17) = v21 & plus_plus(v15, v21, v22) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linord581940658strict(v15) | ? [v21] : ? [v22] : ? [v23] : (times_times(v15, v18, v18) = v22 & times_times(v15, v17, v17) = v21 & plus_plus(v15, v21, v22) = v23 & ~ ord_less_eq(v15, v23, v16))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linordered_idom(v15) | ? [v21] : ? [v22] : ? [v23] : ( ~ (v23 = v16) & power_power(v15, v18, v10) = v22 & power_power(v15, v17, v10) = v21 & plus_plus(v15, v21, v22) = v23)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v20) | ~ (ti(v15, v17) = v19) | ~ linordered_idom(v15) | ? [v21] : ? [v22] : ? [v23] : (power_power(v15, v18, v10) = v22 & power_power(v15, v17, v10) = v21 & plus_plus(v15, v21, v22) = v23 & ord_less(v15, v16, v23))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (power_power(v15, v18, v10) = v20) | ~ (power_power(v15, v17, v10) = v19) | ~ (zero_zero(v15) = v16) | ~ (plus_plus(v15, v19, v20) = v16) | ~ linordered_idom(v15) | (ti(v15, v18) = v16 & ti(v15, v17) = v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (power_power(int, v15, v17) = v19) | ~ (power_power(int, v15, v16) = v18) | ~ (times_times(int, v18, v19) = v20) | ? [v21] : (power_power(int, v15, v21) = v20 & plus_plus(nat, v16, v17) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (number_number_of(v15, v17) = v19) | ~ (number_number_of(v15, v16) = v18) | ~ (times_times(v15, v18, v19) = v20) | ~ number_ring(v15) | ? [v21] : (number_number_of(v15, v21) = v20 & times_times(int, v16, v17) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (number_number_of(v15, v17) = v18) | ~ (number_number_of(v15, v16) = v19) | ~ (times_times(v15, v18, v19) = v20) | ~ number_semiring(v15) | ~ ord_less_eq(int, pls, v17) | ~ ord_less_eq(int, pls, v16) | ? [v21] : (number_number_of(v15, v21) = v20 & times_times(int, v17, v16) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (number_number_of(v15, v17) = v18) | ~ (number_number_of(v15, v16) = v19) | ~ (plus_plus(v15, v18, v19) = v20) | ~ number_semiring(v15) | ~ ord_less_eq(int, pls, v17) | ~ ord_less_eq(int, pls, v16) | ? [v21] : (number_number_of(v15, v21) = v20 & plus_plus(int, v17, v16) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (zero_zero(v15) = v16) | ~ (times_times(v15, v18, v18) = v20) | ~ (times_times(v15, v17, v17) = v19) | ~ (plus_plus(v15, v19, v20) = v16) | ~ linord581940658strict(v15) | (ti(v15, v18) = v16 & ti(v15, v17) = v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (times_times(int, v16, v17) = v19) | ~ (times_times(int, v15, v17) = v18) | ~ (plus_plus(int, v18, v19) = v20) | ? [v21] : (times_times(int, v21, v17) = v20 & plus_plus(int, v15, v16) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (times_times(int, v15, v17) = v19) | ~ (times_times(int, v15, v16) = v18) | ~ (plus_plus(int, v18, v19) = v20) | ? [v21] : (times_times(int, v15, v21) = v20 & plus_plus(int, v16, v17) = v21)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (plus_plus(int, v18, v16) = v20) | ~ (plus_plus(int, v17, v15) = v19) | ~ ord_less_eq(int, v15, v16) | ~ ord_less(int, v17, v18) | ord_less(int, v19, v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (power_power(v17, v15, v16) = v18) | ~ (ti(v17, v18) = v19) | ~ semiring_1(v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (number_number_of(nat, v16) = v17) | ~ (number_number_of(nat, v15) = v18) | ~ (plus_plus(nat, v17, v18) = v19) | ~ ord_less(int, v16, pls)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (times_times(v17, v15, v16) = v18) | ~ (ti(v17, v18) = v19) | ~ linordered_ring(v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (times_times(v17, v15, v16) = v18) | ~ (ti(v17, v18) = v19) | ~ semiring(v17) | ~ number(v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (plus_plus(v17, v15, v16) = v18) | ~ (ti(v17, v18) = v19) | ~ linordered_ring(v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v18 | ~ (plus_plus(v17, v15, v16) = v18) | ~ (ti(v17, v18) = v19) | ~ semiring(v17) | ~ number(v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = v17 | ~ (number_number_of(nat, v16) = v17) | ~ (number_number_of(nat, v15) = v18) | ~ (plus_plus(nat, v17, v18) = v19) | ~ ord_less(int, v15, pls) | ord_less(int, v16, pls)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (power_power(v19, v18, v17) = v16) | ~ (power_power(v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (times_times(v19, v18, v17) = v16) | ~ (times_times(v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (plus_plus(v19, v18, v17) = v16) | ~ (plus_plus(v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (power_power(v17, v18, v16) = v19) | ~ (ti(v17, v15) = v18) | ~ semiring_1(v17) | power_power(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (power_power(v17, v15, v18) = v19) | ~ (ti(nat, v16) = v18) | ~ semiring_1(v17) | power_power(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (power_power(int, v15, v18) = v19) | ~ (plus_plus(nat, v16, v17) = v18) | ? [v20] : ? [v21] : (power_power(int, v15, v17) = v21 & power_power(int, v15, v16) = v20 & times_times(int, v20, v21) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v18) = v19) | ~ (times_times(int, v17, v16) = v18) | ~ number_semiring(v15) | ~ ord_less_eq(int, pls, v17) | ~ ord_less_eq(int, pls, v16) | ? [v20] : ? [v21] : (number_number_of(v15, v17) = v20 & number_number_of(v15, v16) = v21 & times_times(v15, v20, v21) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v18) = v19) | ~ (times_times(int, v16, v17) = v18) | ~ number_ring(v15) | ? [v20] : ? [v21] : (number_number_of(v15, v17) = v21 & number_number_of(v15, v16) = v20 & times_times(v15, v20, v21) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v18) = v19) | ~ (plus_plus(int, v17, v16) = v18) | ~ number_semiring(v15) | ~ ord_less_eq(int, pls, v17) | ~ ord_less_eq(int, pls, v16) | ? [v20] : ? [v21] : (number_number_of(v15, v17) = v20 & number_number_of(v15, v16) = v21 & plus_plus(v15, v20, v21) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v18) = v19) | ~ (plus_plus(int, v17, v2) = v18) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ? [v20] : (number_number_of(v15, v17) = v20 & plus_plus(v15, v20, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v18) = v19) | ~ (plus_plus(int, v2, v17) = v18) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ? [v20] : (number_number_of(v15, v17) = v20 & plus_plus(v15, v16, v20) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v17) = v19) | ~ (number_number_of(v15, v16) = v18) | ~ number_ring(v15) | ~ ord_less_eq(v15, v18, v19) | ~ linordered_idom(v15) | ord_less_eq(int, v16, v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v17) = v19) | ~ (number_number_of(v15, v16) = v18) | ~ number_ring(v15) | ~ ord_less_eq(int, v16, v17) | ~ linordered_idom(v15) | ord_less_eq(v15, v18, v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v17) = v19) | ~ (number_number_of(v15, v16) = v18) | ~ ord_less_eq(v15, v18, v19) | ~ ord_less(v15, v19, v18) | ~ linorder(v15) | ~ number(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v17) = v18) | ~ (number_number_of(v15, v16) = v19) | ~ linorder(v15) | ~ number(v15) | ord_less_eq(v15, v19, v18) | ord_less(v15, v18, v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v17) = v18) | ~ (plus_plus(v15, v18, v16) = v19) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ? [v20] : (number_number_of(v15, v20) = v19 & plus_plus(int, v17, v2) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(v15, v17) = v18) | ~ (plus_plus(v15, v16, v18) = v19) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ? [v20] : (number_number_of(v15, v20) = v19 & plus_plus(int, v2, v17) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(nat, v16) = v17) | ~ (number_number_of(nat, v15) = v18) | ~ (plus_plus(nat, v17, v18) = v19) | ord_less(int, v16, pls) | ord_less(int, v15, pls) | ? [v20] : (number_number_of(nat, v20) = v19 & plus_plus(int, v16, v15) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(int, v16) = v18) | ~ (number_number_of(int, v15) = v17) | ~ (times_times(int, v17, v18) = v19) | ? [v20] : (number_number_of(int, v20) = v19 & times_times(int, v15, v16) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (number_number_of(int, v16) = v18) | ~ (number_number_of(int, v15) = v17) | ~ (plus_plus(int, v17, v18) = v19) | ? [v20] : (number_number_of(int, v20) = v19 & plus_plus(int, v15, v16) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(v17, v18, v16) = v19) | ~ (ti(v17, v15) = v18) | ~ linordered_ring(v17) | times_times(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(v17, v18, v16) = v19) | ~ (ti(v17, v15) = v18) | ~ semiring(v17) | ~ number(v17) | times_times(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(v17, v15, v18) = v19) | ~ (ti(v17, v16) = v18) | ~ linordered_ring(v17) | times_times(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(v17, v15, v18) = v19) | ~ (ti(v17, v16) = v18) | ~ semiring(v17) | ~ number(v17) | times_times(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(int, v18, v17) = v19) | ~ (times_times(int, v15, v16) = v18) | ? [v20] : (times_times(int, v16, v17) = v20 & times_times(int, v15, v20) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(int, v18, v17) = v19) | ~ (plus_plus(int, v15, v16) = v18) | ? [v20] : ? [v21] : (times_times(int, v16, v17) = v21 & times_times(int, v15, v17) = v20 & plus_plus(int, v20, v21) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(int, v16, v17) = v18) | ~ (times_times(int, v15, v18) = v19) | ? [v20] : (times_times(int, v20, v17) = v19 & times_times(int, v15, v16) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (times_times(int, v15, v18) = v19) | ~ (plus_plus(int, v16, v17) = v18) | ? [v20] : ? [v21] : (times_times(int, v15, v17) = v21 & times_times(int, v15, v16) = v20 & plus_plus(int, v20, v21) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(v17, v18, v16) = v19) | ~ (ti(v17, v15) = v18) | ~ linordered_ring(v17) | plus_plus(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(v17, v18, v16) = v19) | ~ (ti(v17, v15) = v18) | ~ semiring(v17) | ~ number(v17) | plus_plus(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(v17, v15, v18) = v19) | ~ (ti(v17, v16) = v18) | ~ linordered_ring(v17) | plus_plus(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(v17, v15, v18) = v19) | ~ (ti(v17, v16) = v18) | ~ semiring(v17) | ~ number(v17) | plus_plus(v17, v15, v16) = v19) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(int, v18, v17) = v19) | ~ (plus_plus(int, v15, v16) = v18) | ? [v20] : (plus_plus(int, v16, v17) = v20 & plus_plus(int, v15, v20) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(int, v16, v18) = v19) | ~ (plus_plus(int, v15, v17) = v18) | ? [v20] : (plus_plus(int, v16, v17) = v20 & plus_plus(int, v15, v20) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(int, v16, v17) = v18) | ~ (plus_plus(int, v15, v18) = v19) | ? [v20] : (plus_plus(int, v20, v17) = v19 & plus_plus(int, v15, v16) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(int, v16, v17) = v18) | ~ (plus_plus(int, v15, v18) = v19) | ? [v20] : (plus_plus(int, v16, v20) = v19 & plus_plus(int, v15, v17) = v20)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (plus_plus(int, v15, v17) = v19) | ~ (plus_plus(int, v15, v16) = v18) | ~ ord_less_eq(int, v16, v17) | ord_less_eq(int, v18, v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v17 | ~ (number_number_of(v16, v15) = v17) | ~ (ti(v16, v17) = v18) | ~ number(v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v17 | ~ (number_number_of(v15, v16) = v18) | ~ (number_number_of(v15, v16) = v17) | ~ ring_char_0(v15) | ~ number_ring(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v17 | ~ (ti(v15, v17) = v18) | ~ (ti(v15, v16) = v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (power_power(v15, v17, v10) = v18) | ~ (zero_zero(v15) = v16) | ~ ring_11004092258visors(v15) | ? [v19] : ( ~ (v19 = v16) & ti(v15, v17) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v17) = v18) | ~ ring_11004092258visors(v15) | ? [v19] : ( ~ (v19 = v16) & power_power(v15, v17, v10) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v17) = v18) | ~ linordered_idom(v15) | ? [v19] : (power_power(v15, v17, v10) = v19 & ord_less(v15, v16, v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (number_number_of(v15, v17) = v18) | ~ (number_number_of(v15, v16) = v18) | ~ ring_char_0(v15) | ~ number_ring(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (number_number_of(v18, v17) = v16) | ~ (number_number_of(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (ti(v18, v17) = v16) | ~ (ti(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (power_power(v17, v15, v16) = v18) | ~ semiring_1(v17) | ti(v17, v18) = v18) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (power_power(v17, v15, v16) = v18) | ~ semiring_1(v17) | ? [v19] : (power_power(v17, v19, v16) = v18 & ti(v17, v15) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (power_power(v17, v15, v16) = v18) | ~ semiring_1(v17) | ? [v19] : (power_power(v17, v15, v19) = v18 & ti(nat, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (power_power(v15, v17, v10) = v18) | ~ (zero_zero(v15) = v16) | ~ linordered_idom(v15) | ~ ord_less(v15, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (power_power(v15, v17, v10) = v18) | ~ (zero_zero(v15) = v16) | ~ linordered_idom(v15) | ~ ord_less(v15, v16, v18) | ? [v19] : ( ~ (v19 = v16) & ti(v15, v17) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (power_power(v15, v17, v10) = v18) | ~ (zero_zero(v15) = v16) | ~ linordered_idom(v15) | ti(v15, v17) = v16 | ord_less(v15, v16, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v16, v17) = v18) | ~ (ti(int, v15) = v17) | ~ number(v16) | number_number_of(v16, v15) = v18) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (zero_zero(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(v15, v18, v16) | ~ linordered_idom(v15) | ord_less_eq(int, v17, pls)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (zero_zero(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(v15, v16, v18) | ~ linordered_idom(v15) | ord_less_eq(int, pls, v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (zero_zero(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(int, v17, pls) | ~ linordered_idom(v15) | ord_less_eq(v15, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (zero_zero(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(int, pls, v17) | ~ linordered_idom(v15) | ord_less_eq(v15, v16, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(v15, v18, v16) | ~ linordered_idom(v15) | ord_less_eq(int, v17, v2)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(v15, v16, v18) | ~ linordered_idom(v15) | ord_less_eq(int, v2, v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(int, v17, v2) | ~ linordered_idom(v15) | ord_less_eq(v15, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(v15, v17) = v18) | ~ (one_one(v15) = v16) | ~ number_ring(v15) | ~ ord_less_eq(int, v2, v17) | ~ linordered_idom(v15) | ord_less_eq(v15, v16, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(nat, v16) = v18) | ~ (number_number_of(nat, v15) = v17) | ~ ord_less(nat, v17, v18) | ~ ord_less(int, v15, v16) | ord_less(int, pls, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(nat, v16) = v18) | ~ (number_number_of(nat, v15) = v17) | ~ ord_less(nat, v17, v18) | ord_less(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(nat, v16) = v18) | ~ (number_number_of(nat, v15) = v17) | ~ ord_less(int, v15, v16) | ~ ord_less(int, pls, v16) | ord_less(nat, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(int, v16) = v18) | ~ (number_number_of(int, v15) = v17) | ~ ord_less_eq(int, v17, v18) | ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(int, v16) = v18) | ~ (number_number_of(int, v15) = v17) | ~ ord_less_eq(int, v15, v16) | ord_less_eq(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(int, v16) = v18) | ~ (number_number_of(int, v15) = v17) | ~ ord_less(int, v17, v18) | ord_less(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (number_number_of(int, v16) = v18) | ~ (number_number_of(int, v15) = v17) | ~ ord_less(int, v15, v16) | ord_less(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v16) = v18) | ~ (bit1(v15) = v17) | ~ ord_less_eq(int, v17, v18) | ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v16) = v18) | ~ (bit1(v15) = v17) | ~ ord_less_eq(int, v15, v16) | ord_less_eq(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v16) = v18) | ~ (bit0(v15) = v17) | ~ ord_less_eq(int, v17, v18) | ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v16) = v18) | ~ (bit0(v15) = v17) | ~ ord_less_eq(int, v15, v16) | ord_less_eq(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v16) = v18) | ~ (bit0(v15) = v17) | ~ ord_less_eq(int, v15, v16) | ord_less(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v16) = v18) | ~ (bit0(v15) = v17) | ~ ord_less(int, v17, v18) | ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v15) = v17) | ~ (bit0(v16) = v18) | ~ ord_less_eq(int, v17, v18) | ord_less(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit1(v15) = v17) | ~ (bit0(v16) = v18) | ~ ord_less(int, v15, v16) | ord_less_eq(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit0(v16) = v18) | ~ (bit0(v15) = v17) | ~ ord_less_eq(int, v17, v18) | ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit0(v16) = v18) | ~ (bit0(v15) = v17) | ~ ord_less_eq(int, v15, v16) | ord_less_eq(int, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (bit0(v15) = v17) | ~ (times_times(int, v17, v16) = v18) | ? [v19] : (bit0(v19) = v18 & times_times(int, v15, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v16) | ~ (ti(v15, v17) = v16) | ~ linord581940658strict(v15) | ? [v19] : ? [v20] : ? [v21] : (times_times(v15, v18, v18) = v20 & times_times(v15, v17, v17) = v19 & plus_plus(v15, v19, v20) = v21 & ord_less_eq(v15, v21, v16))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v16) | ~ (ti(v15, v17) = v16) | ~ linord581940658strict(v15) | ? [v19] : ? [v20] : (times_times(v15, v18, v18) = v20 & times_times(v15, v17, v17) = v19 & plus_plus(v15, v19, v20) = v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v16) | ~ (ti(v15, v17) = v16) | ~ linordered_idom(v15) | ? [v19] : ? [v20] : ? [v21] : (power_power(v15, v18, v10) = v20 & power_power(v15, v17, v10) = v19 & plus_plus(v15, v19, v20) = v21 & ~ ord_less(v15, v16, v21))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (zero_zero(v15) = v16) | ~ (ti(v15, v18) = v16) | ~ (ti(v15, v17) = v16) | ~ linordered_idom(v15) | ? [v19] : ? [v20] : (power_power(v15, v18, v10) = v20 & power_power(v15, v17, v10) = v19 & plus_plus(v15, v19, v20) = v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (times_times(v17, v15, v16) = v18) | ~ linordered_ring(v17) | ti(v17, v18) = v18) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (times_times(v17, v15, v16) = v18) | ~ linordered_ring(v17) | ? [v19] : (times_times(v17, v19, v16) = v18 & ti(v17, v15) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (times_times(v17, v15, v16) = v18) | ~ linordered_ring(v17) | ? [v19] : (times_times(v17, v15, v19) = v18 & ti(v17, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (times_times(v17, v15, v16) = v18) | ~ semiring(v17) | ~ number(v17) | ti(v17, v18) = v18) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (times_times(v17, v15, v16) = v18) | ~ semiring(v17) | ~ number(v17) | ? [v19] : (times_times(v17, v19, v16) = v18 & ti(v17, v15) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (times_times(v17, v15, v16) = v18) | ~ semiring(v17) | ~ number(v17) | ? [v19] : (times_times(v17, v15, v19) = v18 & ti(v17, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus_plus(v17, v15, v16) = v18) | ~ linordered_ring(v17) | ti(v17, v18) = v18) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus_plus(v17, v15, v16) = v18) | ~ linordered_ring(v17) | ? [v19] : (plus_plus(v17, v19, v16) = v18 & ti(v17, v15) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus_plus(v17, v15, v16) = v18) | ~ linordered_ring(v17) | ? [v19] : (plus_plus(v17, v15, v19) = v18 & ti(v17, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus_plus(v17, v15, v16) = v18) | ~ semiring(v17) | ~ number(v17) | ti(v17, v18) = v18) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus_plus(v17, v15, v16) = v18) | ~ semiring(v17) | ~ number(v17) | ? [v19] : (plus_plus(v17, v19, v16) = v18 & ti(v17, v15) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (plus_plus(v17, v15, v16) = v18) | ~ semiring(v17) | ~ number(v17) | ? [v19] : (plus_plus(v17, v15, v19) = v18 & ti(v17, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ ord_less_eq(v17, v15, v18) | ~ linorder(v17) | ~ number(v17) | ord_less_eq(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ ord_less_eq(v17, v15, v18) | ~ linordered_ring(v17) | ord_less_eq(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ ord_less_eq(v17, v15, v16) | ~ linorder(v17) | ~ number(v17) | ord_less_eq(v17, v15, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ ord_less_eq(v17, v15, v16) | ~ linordered_ring(v17) | ord_less_eq(v17, v15, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ linordered_idom(v17) | ~ ord_less(v17, v15, v18) | ord_less(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ linordered_idom(v17) | ~ ord_less(v17, v15, v16) | ord_less(v17, v15, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ ord_less(v17, v15, v18) | ~ linorder(v17) | ~ number(v17) | ord_less(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v16) = v18) | ~ ord_less(v17, v15, v16) | ~ linorder(v17) | ~ number(v17) | ord_less(v17, v15, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ ord_less_eq(v17, v18, v16) | ~ linorder(v17) | ~ number(v17) | ord_less_eq(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ ord_less_eq(v17, v18, v16) | ~ linordered_ring(v17) | ord_less_eq(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ ord_less_eq(v17, v15, v16) | ~ linorder(v17) | ~ number(v17) | ord_less_eq(v17, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ ord_less_eq(v17, v15, v16) | ~ linordered_ring(v17) | ord_less_eq(v17, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ linordered_idom(v17) | ~ ord_less(v17, v18, v16) | ord_less(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ linordered_idom(v17) | ~ ord_less(v17, v15, v16) | ord_less(v17, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ ord_less(v17, v18, v16) | ~ linorder(v17) | ~ number(v17) | ord_less(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (ti(v17, v15) = v18) | ~ ord_less(v17, v15, v16) | ~ linorder(v17) | ~ number(v17) | ord_less(v17, v18, v16)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (power_power(v15, v16, v10) = v17) | ~ (zero_zero(v15) = v16) | ~ semiring_1(v15)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (power_power(v15, v16, v10) = v17) | ~ (one_one(v15) = v16) | ~ semiring_1(v15)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (bit1(v15) = v17) | ~ (bit1(v15) = v16)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (bit0(v15) = v17) | ~ (bit0(v15) = v16)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (undefined(v15) = v16) | ~ (ti(v15, v16) = v17)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v16) = v17) | ~ linordered_ring(v15)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (zero_zero(v15) = v16) | ~ (ti(v15, v16) = v17) | ~ semiring_1(v15)) & ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (one_one(v15) = v16) | ~ (ti(v15, v16) = v17) | ~ semiring_1(v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (bit1(v17) = v16) | ~ (bit1(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (bit1(v16) = v17) | ~ (bit1(v15) = v17)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (bit0(v17) = v16) | ~ (bit0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (bit0(v16) = v17) | ~ (bit0(v15) = v17)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (undefined(v17) = v16) | ~ (undefined(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (zero_zero(v17) = v16) | ~ (zero_zero(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (one_one(v17) = v16) | ~ (one_one(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (power_power(v15, v17, v10) = v16) | ~ (zero_zero(v15) = v16) | ~ ring_11004092258visors(v15) | ti(v15, v17) = v16) & ! [v15] : ! [v16] : ! [v17] : ( ~ (number_number_of(v16, v15) = v17) | ~ number(v16) | ti(v16, v17) = v17) & ! [v15] : ! [v16] : ! [v17] : ( ~ (number_number_of(v16, v15) = v17) | ~ number(v16) | ? [v18] : (number_number_of(v16, v18) = v17 & ti(int, v15) = v18)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (zero_zero(v15) = v16) | ~ (ti(v15, v17) = v16) | ~ ring_11004092258visors(v15) | power_power(v15, v17, v10) = v16) & ! [v15] : ! [v16] : ! [v17] : ( ~ (zero_zero(v15) = v16) | ~ (ti(v15, v17) = v16) | ~ linordered_idom(v15) | ? [v18] : (power_power(v15, v17, v10) = v18 & ~ ord_less(v15, v16, v18))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (times_times(int, v16, v15) = v17) | times_times(int, v15, v16) = v17) & ! [v15] : ! [v16] : ! [v17] : ( ~ (times_times(int, v15, v16) = v17) | times_times(int, v16, v15) = v17) & ! [v15] : ! [v16] : ! [v17] : ( ~ (times_times(int, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (number_number_of(int, v17) = v20 & number_number_of(int, v16) = v19 & number_number_of(int, v15) = v18 & times_times(int, v18, v19) = v20)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (times_times(int, v15, v16) = v17) | ? [v18] : ? [v19] : (bit0(v17) = v19 & bit0(v15) = v18 & times_times(int, v18, v16) = v19)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v16, v15) = v17) | plus_plus(int, v15, v16) = v17) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v16, v15) = v17) | ord_less(int, v16, pls) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (number_number_of(nat, v17) = v21 & number_number_of(nat, v16) = v18 & number_number_of(nat, v15) = v19 & plus_plus(nat, v18, v19) = v20 & (v21 = v20 | ord_less(int, v15, pls)) & (v20 = v18 | ~ ord_less(int, v15, pls)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v16, v1) = v17) | ~ ord_less_eq(int, v15, v16) | ord_less(int, v15, v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v16, v1) = v17) | ~ ord_less(int, v15, v17) | ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v15, v16) = v17) | plus_plus(int, v16, v15) = v17) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (number_number_of(int, v17) = v20 & number_number_of(int, v16) = v19 & number_number_of(int, v15) = v18 & plus_plus(int, v18, v19) = v20)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v15, v1) = v17) | ~ ord_less_eq(int, v17, v16) | ord_less(int, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (plus_plus(int, v15, v1) = v17) | ~ ord_less(int, v15, v16) | ord_less_eq(int, v17, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (ti(v15, v16) = v17) | ti(v15, v17) = v17) & ! [v15] : ! [v16] : ! [v17] : ( ~ ord_less_eq(int, v17, v15) | ~ ord_less_eq(int, v16, v17) | ord_less_eq(int, v16, v15)) & ! [v15] : ! [v16] : (v16 = v15 | ~ (number_number_of(int, v15) = v16)) & ! [v15] : ! [v16] : (v16 = v15 | ~ (times_times(int, v15, v1) = v16)) & ! [v15] : ! [v16] : (v16 = v15 | ~ (times_times(int, v1, v15) = v16)) & ! [v15] : ! [v16] : (v16 = v15 | ~ ord_less_eq(int, v16, v15) | ~ ord_less_eq(int, v15, v16)) & ! [v15] : ! [v16] : (v16 = v15 | ~ ord_less_eq(int, v15, v16) | ord_less(int, v15, v16)) & ! [v15] : ! [v16] : (v16 = v12 | ~ (number_number_of(nat, v15) = v16) | ~ ord_less_eq(int, v15, pls)) & ! [v15] : ! [v16] : (v16 = pls | ~ (times_times(int, pls, v15) = v16)) & ! [v15] : ! [v16] : ( ~ (number_number_of(nat, v15) = v16) | ~ ord_less(nat, v12, v16) | ord_less(int, pls, v15)) & ! [v15] : ! [v16] : ( ~ (number_number_of(nat, v15) = v16) | ~ ord_less(int, pls, v15) | ord_less(nat, v12, v16)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ~ ord_less_eq(int, v16, pls) | ord_less(int, v15, pls)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ~ ord_less_eq(int, pls, v16) | ord_less_eq(int, pls, v15)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ~ ord_less_eq(int, pls, v15) | ord_less_eq(int, pls, v16)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ~ ord_less_eq(int, pls, v15) | ord_less(int, pls, v16)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ~ ord_less(int, v15, pls) | ord_less_eq(int, v16, pls)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ~ ord_less(int, pls, v16) | ord_less_eq(int, pls, v15)) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ti(int, v16) = v16) & ! [v15] : ! [v16] : ( ~ (bit1(v15) = v16) | ? [v17] : (bit1(v17) = v16 & ti(int, v15) = v17)) & ! [v15] : ! [v16] : ( ~ (bit0(v15) = v16) | ~ ord_less_eq(int, v16, pls) | ord_less_eq(int, v15, pls)) & ! [v15] : ! [v16] : ( ~ (bit0(v15) = v16) | ~ ord_less_eq(int, v15, pls) | ord_less_eq(int, v16, pls)) & ! [v15] : ! [v16] : ( ~ (bit0(v15) = v16) | ~ ord_less_eq(int, pls, v16) | ord_less_eq(int, pls, v15)) & ! [v15] : ! [v16] : ( ~ (bit0(v15) = v16) | ~ ord_less_eq(int, pls, v15) | ord_less_eq(int, pls, v16)) & ! [v15] : ! [v16] : ( ~ (bit0(v15) = v16) | ti(int, v16) = v16) & ! [v15] : ! [v16] : ( ~ (bit0(v15) = v16) | ? [v17] : (bit0(v17) = v16 & ti(int, v15) = v17)) & ! [v15] : ! [v16] : ( ~ (undefined(v15) = v16) | ti(v15, v16) = v16) & ! [v15] : ! [v16] : ( ~ (zero_zero(v15) = v16) | ~ linordered_ring(v15) | ti(v15, v16) = v16) & ! [v15] : ! [v16] : ( ~ (zero_zero(v15) = v16) | ~ semiring_1(v15) | power_power(v15, v16, v10) = v16) & ! [v15] : ! [v16] : ( ~ (zero_zero(v15) = v16) | ~ semiring_1(v15) | ti(v15, v16) = v16) & ! [v15] : ! [v16] : ( ~ (plus_plus(int, v1, v15) = v16) | ~ ord_less_eq(int, v0, v15) | ord_less(int, v0, v16)) & ! [v15] : ! [v16] : ( ~ (one_one(v15) = v16) | ~ semiring_1(v15) | power_power(v15, v16, v10) = v16) & ! [v15] : ! [v16] : ( ~ (one_one(v15) = v16) | ~ semiring_1(v15) | ti(v15, v16) = v16) & ! [v15] : ! [v16] : ( ~ (ti(int, v15) = v16) | ~ twoSqu33214720sum2sq(v16) | twoSqu33214720sum2sq(v15)) & ! [v15] : ! [v16] : ( ~ (ti(int, v15) = v16) | ~ twoSqu33214720sum2sq(v15) | twoSqu33214720sum2sq(v16)) & ! [v15] : ! [v16] : ( ~ (ti(int, v15) = v16) | ~ zprime(v16) | zprime(v15)) & ! [v15] : ! [v16] : ( ~ (ti(int, v15) = v16) | ~ zprime(v15) | zprime(v16)) & ! [v15] : ! [v16] : ( ~ (ti(int, v15) = v16) | ? [v17] : (bit1(v16) = v17 & bit1(v15) = v17)) & ! [v15] : ! [v16] : ( ~ (ti(int, v15) = v16) | ? [v17] : (bit0(v16) = v17 & bit0(v15) = v17)) & ! [v15] : ! [v16] : ( ~ ord_less(int, v15, v16) | ord_less_eq(int, v15, v16)) & ! [v15] : ( ~ (number_number_of(nat, v15) = v12) | ord_less_eq(int, v15, pls)) & ! [v15] : ( ~ ord_less_eq(int, v1, v15) | ord_less(int, v0, v15)) & ! [v15] : ~ ord_less(int, v15, v15) & ! [v15] : ( ~ ord_less(int, v0, v15) | ord_less_eq(int, v1, v15)) & ? [v15] : ? [v16] : (v16 = v15 | ord_less(int, v16, v15) | ord_less(int, v15, v16)) & ? [v15] : ? [v16] : (ord_less_eq(int, v16, v15) | ord_less_eq(int, v15, v16)) & ? [v15] : ord_less_eq(int, v15, v15) & ( ~ (v0 = t) | v8 = t))
% 13.17/3.54 | 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, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14 yields:
% 13.17/3.54 | (1) power_power(int, s, all_0_4_4) = all_0_3_3 & number_number_of(nat, all_0_11_11) = all_0_4_4 & number_number_of(nat, all_0_12_12) = all_0_1_1 & number_number_of(nat, pls) = all_0_2_2 & number_number_of(int, all_0_10_10) = all_0_9_9 & number_number_of(int, pls) = all_0_14_14 & bit1(pls) = all_0_12_12 & bit0(all_0_11_11) = all_0_10_10 & bit0(all_0_12_12) = all_0_11_11 & zero_zero(nat) = all_0_2_2 & zero_zero(int) = all_0_14_14 & times_times(int, all_0_7_7, all_0_0_0) = all_0_6_6 & times_times(int, all_0_7_7, all_0_14_14) = all_0_5_5 & times_times(int, all_0_7_7, t) = all_0_6_6 & times_times(int, all_0_9_9, m) = all_0_8_8 & plus_plus(nat, all_0_1_1, all_0_1_1) = all_0_4_4 & plus_plus(int, all_0_3_3, all_0_13_13) = all_0_6_6 & plus_plus(int, all_0_8_8, all_0_13_13) = all_0_7_7 & one_one(nat) = all_0_1_1 & one_one(int) = all_0_13_13 & ti(int, t) = t & ti(int, s) = s & ti(int, m) = m & ti(int, pls) = pls & ring_char_0(int) & linord581940658strict(int) & number_semiring(nat) & number_semiring(int) & number_ring(int) & ring_11004092258visors(int) & twoSqu33214720sum2sq(all_0_6_6) & ord_less_eq(int, pls, pls) & linordered_idom(int) & ord_less(int, all_0_6_6, all_0_5_5) & ord_less(int, all_0_14_14, all_0_7_7) & ord_less(int, t, all_0_7_7) & ord_less(int, t, all_0_13_13) & ord_less(int, t, all_0_14_14) & linorder(nat) & linorder(int) & zprime(all_0_7_7) & linordered_ring(int) & semiring(nat) & semiring(int) & number(nat) & number(int) & semiring_1(nat) & semiring_1(int) & ~ ord_less_eq(int, all_0_13_13, t) & ~ ord_less(int, all_0_6_6, all_0_14_14) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v3) = v4) | ~ (times_times(v0, v2, v4) = v6) | ~ (times_times(v0, v1, v4) = v5) | ~ (plus_plus(v0, v5, v6) = v7) | ~ semiring(v0) | ~ number(v0) | ? [v8] : (times_times(v0, v8, v4) = v7 & plus_plus(v0, v1, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v2) = v5) | ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v5, v3) = v6) | ~ (times_times(v0, v4, v6) = v7) | ~ number_ring(v0) | ? [v8] : ? [v9] : (number_number_of(v0, v8) = v9 & times_times(v0, v9, v3) = v7 & times_times(int, v1, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v4, v3) = v6) | ~ (times_times(v0, v4, v2) = v5) | ~ (plus_plus(v0, v5, v6) = v7) | ~ semiring(v0) | ~ number(v0) | ? [v8] : (times_times(v0, v4, v8) = v7 & plus_plus(v0, v2, v3) = 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] : (v6 = v1 | ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linord581940658strict(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, v6, 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) | ? [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] : ( ~ (number_number_of(v0, v4) = v5) | ~ (times_times(v0, v5, v3) = v6) | ~ (times_times(int, v1, v2) = v4) | ~ number_ring(v0) | ? [v7] : ? [v8] : ? [v9] : (number_number_of(v0, v2) = v8 & number_number_of(v0, v1) = v7 & times_times(v0, v8, v3) = v9 & times_times(v0, v7, v9) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v3) = v5) | ~ (times_times(v0, v4, v5) = v6) | ~ (plus_plus(v0, v1, v2) = v4) | ~ semiring(v0) | ~ number(v0) | ? [v7] : ? [v8] : (times_times(v0, v2, v5) = v8 & times_times(v0, v1, v5) = v7 & plus_plus(v0, v7, v8) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v4, v5) = v6) | ~ (plus_plus(v0, v2, v3) = v5) | ~ semiring(v0) | ~ number(v0) | ? [v7] : ? [v8] : (times_times(v0, v4, v3) = v8 & times_times(v0, v4, v2) = v7 & plus_plus(v0, v7, v8) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linord581940658strict(v0) | ~ ord_less_eq(v0, v6, v1) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linord581940658strict(v0) | ord_less_eq(v0, v6, v1) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linordered_ring(v0) | ord_less_eq(v0, v1, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = 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) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : (times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = v6 & plus_plus(v0, v6, v7) = v8 & ~ ord_less_eq(v0, v8, v1))) & ! [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) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = 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) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : (times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = v6 & plus_plus(v0, v6, v7) = v8 & ~ ord_less_eq(v0, v8, v1))) & ! [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] : ( ~ (power_power(int, v0, v2) = v4) | ~ (power_power(int, v0, v1) = v3) | ~ (times_times(int, v3, v4) = v5) | ? [v6] : (power_power(int, v0, v6) = v5 & plus_plus(nat, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ (times_times(v0, v3, v4) = v5) | ~ number_ring(v0) | ? [v6] : (number_number_of(v0, v6) = v5 & times_times(int, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v3, v4) = v5) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v6] : (number_number_of(v0, v6) = v5 & times_times(int, v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ~ (plus_plus(v0, v3, v4) = v5) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v6] : (number_number_of(v0, v6) = v5 & plus_plus(int, v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v1) | ~ linord581940658strict(v0) | (ti(v0, v3) = v1 & ti(v0, v2) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(int, v1, v2) = v4) | ~ (times_times(int, v0, v2) = v3) | ~ (plus_plus(int, v3, v4) = v5) | ? [v6] : (times_times(int, v6, v2) = v5 & plus_plus(int, v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(int, v0, v2) = v4) | ~ (times_times(int, v0, v1) = v3) | ~ (plus_plus(int, v3, v4) = v5) | ? [v6] : (times_times(int, v0, v6) = v5 & plus_plus(int, v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus_plus(int, v3, v1) = v5) | ~ (plus_plus(int, v2, v0) = v4) | ~ ord_less_eq(int, v0, v1) | ~ ord_less(int, v2, v3) | ord_less(int, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (power_power(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring_1(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 | ~ (times_times(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ linordered_ring(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (times_times(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring(v2) | ~ number(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ linordered_ring(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring(v2) | ~ number(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] : (v1 = v0 | ~ (power_power(v4, v3, v2) = v1) | ~ (power_power(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (times_times(v4, v3, v2) = v1) | ~ (times_times(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) | ~ semiring_1(v2) | power_power(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ~ semiring_1(v2) | power_power(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, v3) = v4) | ~ (plus_plus(nat, v1, v2) = v3) | ? [v5] : ? [v6] : (power_power(int, v0, v2) = v6 & power_power(int, v0, v1) = v5 & times_times(int, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (times_times(int, v2, v1) = v3) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v6 & times_times(v0, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (times_times(int, v1, v2) = v3) | ~ number_ring(v0) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v6 & number_number_of(v0, v1) = v5 & times_times(v0, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v2, v1) = v3) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v6 & plus_plus(v0, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v2, all_0_12_12) = 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, all_0_12_12, 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_eq(v0, v3, v4) | ~ linordered_idom(v0) | ord_less_eq(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_eq(int, v1, v2) | ~ linordered_idom(v0) | ord_less_eq(v0, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ ord_less_eq(v0, v3, v4) | ~ ord_less(v0, v4, v3) | ~ linorder(v0) | ~ number(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ~ linorder(v0) | ~ number(v0) | ord_less_eq(v0, v4, v3) | 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_12_12) = 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_12_12, v2) = 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) | ~ (times_times(int, v2, v3) = v4) | ? [v5] : (number_number_of(int, v5) = v4 & times_times(int, v0, v1) = 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] : ( ~ (times_times(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ linordered_ring(v2) | times_times(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring(v2) | ~ number(v2) | times_times(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ linordered_ring(v2) | times_times(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ semiring(v2) | ~ number(v2) | times_times(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v3, v2) = v4) | ~ (times_times(int, v0, v1) = v3) | ? [v5] : (times_times(int, v1, v2) = v5 & times_times(int, v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v3, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ? [v5] : ? [v6] : (times_times(int, v1, v2) = v6 & times_times(int, v0, v2) = v5 & plus_plus(int, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v1, v2) = v3) | ~ (times_times(int, v0, v3) = v4) | ? [v5] : (times_times(int, v5, v2) = v4 & times_times(int, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v0, v3) = v4) | ~ (plus_plus(int, v1, v2) = v3) | ? [v5] : ? [v6] : (times_times(int, v0, v2) = v6 & times_times(int, v0, v1) = v5 & plus_plus(int, v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ linordered_ring(v2) | plus_plus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring(v2) | ~ number(v2) | plus_plus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ linordered_ring(v2) | plus_plus(v2, v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ semiring(v2) | ~ number(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, 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] : ! [v4] : ( ~ (plus_plus(int, v0, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ~ ord_less_eq(int, v1, v2) | ord_less_eq(int, v3, v4)) & ! [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) | ~ (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] : (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 | ~ (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) | ~ semiring_1(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_1(v2) | ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_1(v2) | ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ linordered_idom(v0) | ~ ord_less(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ linordered_idom(v0) | ~ ord_less(v0, v1, v3) | ? [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] : ( ~ (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_eq(v0, v3, v1) | ~ linordered_idom(v0) | ord_less_eq(int, v2, pls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v1, v3) | ~ linordered_idom(v0) | ord_less_eq(int, pls, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, v2, pls) | ~ linordered_idom(v0) | ord_less_eq(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, pls, v2) | ~ linordered_idom(v0) | ord_less_eq(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v3, v1) | ~ linordered_idom(v0) | ord_less_eq(int, v2, all_0_12_12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v1, v3) | ~ linordered_idom(v0) | ord_less_eq(int, all_0_12_12, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, v2, all_0_12_12) | ~ linordered_idom(v0) | ord_less_eq(v0, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, all_0_12_12, v2) | ~ linordered_idom(v0) | ord_less_eq(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(nat, v1) = v3) | ~ (number_number_of(nat, v0) = v2) | ~ ord_less(nat, v2, v3) | ~ ord_less(int, v0, v1) | ord_less(int, pls, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(nat, v1) = v3) | ~ (number_number_of(nat, v0) = v2) | ~ ord_less(nat, v2, v3) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(nat, v1) = v3) | ~ (number_number_of(nat, v0) = v2) | ~ ord_less(int, v0, v1) | ~ ord_less(int, pls, v1) | ord_less(nat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, 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_eq(int, v2, v3) | ord_less_eq(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less(int, v2, v3) | ord_less_eq(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less_eq(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_eq(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v0) = v2) | ~ (times_times(int, v2, v1) = v3) | ? [v4] : (bit0(v4) = v3 & times_times(int, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linord581940658strict(v0) | ? [v4] : ? [v5] : ? [v6] : (times_times(v0, v3, v3) = v5 & times_times(v0, v2, v2) = v4 & plus_plus(v0, v4, v5) = v6 & ord_less_eq(v0, v6, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linord581940658strict(v0) | ? [v4] : ? [v5] : (times_times(v0, v3, v3) = v5 & times_times(v0, v2, v2) = v4 & plus_plus(v0, v4, v5) = 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] : ( ~ (times_times(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (times_times(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (times_times(v2, v0, v4) = v3 & ti(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (times_times(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (times_times(v2, v0, v4) = v3 & ti(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ti(v2, v3) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v3) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v3) | ~ linordered_ring(v2) | ord_less_eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linordered_ring(v2) | ord_less_eq(v2, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v0, v3) | ord_less(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v0, v1) | ord_less(v2, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v3) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v3, v1) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v3, v1) | ~ linordered_ring(v2) | ord_less_eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linordered_ring(v2) | ord_less_eq(v2, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v3, v1) | ord_less(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v0, v1) | ord_less(v2, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v3, v1) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v0, v1) | ~ linorder(v2) | ~ number(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 | ~ (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) | ~ linordered_ring(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_1(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (one_one(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_1(v0)) & ! [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 | ~ (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] : ( ~ (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] : ( ~ (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] : ( ~ (times_times(int, v1, v0) = v2) | times_times(int, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v0, v1) = v2) | times_times(int, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(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 & times_times(int, v3, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v0, v1) = v2) | ? [v3] : ? [v4] : (bit0(v2) = v4 & bit0(v0) = v3 & times_times(int, v3, v1) = v4)) & ! [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_13_13) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less(int, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, all_0_13_13) = v2) | ~ ord_less(int, v0, v2) | ord_less_eq(int, v0, v1)) & ! [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, all_0_13_13) = v2) | ~ ord_less_eq(int, v2, v1) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, all_0_13_13) = v2) | ~ ord_less(int, v0, v1) | ord_less_eq(int, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ ord_less_eq(int, v2, v0) | ~ ord_less_eq(int, v1, v2) | ord_less_eq(int, v1, v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (number_number_of(int, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (times_times(int, v0, all_0_13_13) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (times_times(int, all_0_13_13, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ ord_less_eq(int, v1, v0) | ~ ord_less_eq(int, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ ord_less_eq(int, v0, v1) | ord_less(int, v0, v1)) & ! [v0] : ! [v1] : (v1 = all_0_2_2 | ~ (number_number_of(nat, v0) = v1) | ~ ord_less_eq(int, v0, pls)) & ! [v0] : ! [v1] : (v1 = pls | ~ (times_times(int, pls, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (number_number_of(nat, v0) = v1) | ~ ord_less(nat, all_0_2_2, v1) | ord_less(int, pls, v0)) & ! [v0] : ! [v1] : ( ~ (number_number_of(nat, v0) = v1) | ~ ord_less(int, pls, v0) | ord_less(nat, all_0_2_2, v1)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, v1, pls) | ord_less(int, v0, pls)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, pls, v1) | ord_less_eq(int, pls, v0)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, pls, v0) | ord_less_eq(int, pls, v1)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, pls, v0) | ord_less(int, pls, v1)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, v0, pls) | ord_less_eq(int, v1, pls)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, pls, v1) | ord_less_eq(int, pls, v0)) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1) & ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, v1, pls) | ord_less_eq(int, v0, pls)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, v0, pls) | ord_less_eq(int, v1, pls)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, pls, v1) | ord_less_eq(int, pls, v0)) & ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, pls, v0) | ord_less_eq(int, pls, 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) | ~ linordered_ring(v0) | ti(v0, v1) = 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) | ~ semiring_1(v0) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (plus_plus(int, all_0_13_13, v0) = v1) | ~ ord_less_eq(int, all_0_14_14, v0) | ord_less(int, all_0_14_14, 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_1(v0) | ti(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ twoSqu33214720sum2sq(v1) | twoSqu33214720sum2sq(v0)) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ twoSqu33214720sum2sq(v0) | twoSqu33214720sum2sq(v1)) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ zprime(v1) | zprime(v0)) & ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ zprime(v0) | zprime(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] : ! [v1] : ( ~ ord_less(int, v0, v1) | ord_less_eq(int, v0, v1)) & ! [v0] : ( ~ (number_number_of(nat, v0) = all_0_2_2) | ord_less_eq(int, v0, pls)) & ! [v0] : ( ~ ord_less_eq(int, all_0_13_13, v0) | ord_less(int, all_0_14_14, v0)) & ! [v0] : ~ ord_less(int, v0, v0) & ! [v0] : ( ~ ord_less(int, all_0_14_14, v0) | ord_less_eq(int, all_0_13_13, v0)) & ? [v0] : ? [v1] : (v1 = v0 | ord_less(int, v1, v0) | ord_less(int, v0, v1)) & ? [v0] : ? [v1] : (ord_less_eq(int, v1, v0) | ord_less_eq(int, v0, v1)) & ? [v0] : ord_less_eq(int, v0, v0) & ( ~ (all_0_14_14 = t) | all_0_6_6 = t)
% 13.17/3.58 |
% 13.17/3.58 | Applying alpha-rule on (1) yields:
% 13.17/3.58 | (2) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ti(int, v1) = v1)
% 13.17/3.58 | (3) ! [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) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1))))
% 13.17/3.58 | (4) ! [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))
% 13.17/3.58 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ semiring(v2) | ~ number(v2) | plus_plus(v2, v0, v1) = v4)
% 13.17/3.58 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linord581940658strict(v0) | ~ ord_less_eq(v0, v6, v1) | (ti(v0, v3) = v1 & ti(v0, v2) = v1))
% 13.17/3.58 | (7) ~ (all_0_14_14 = t) | all_0_6_6 = t
% 13.17/3.58 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (power_power(int, v0, v2) = v4) | ~ (power_power(int, v0, v1) = v3) | ~ (times_times(int, v3, v4) = v5) | ? [v6] : (power_power(int, v0, v6) = v5 & plus_plus(nat, v1, v2) = v6))
% 13.17/3.58 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : (times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = v6 & plus_plus(v0, v6, v7) = v8 & ~ ord_less_eq(v0, v8, v1)))
% 13.17/3.58 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (plus_plus(v4, v3, v2) = v1) | ~ (plus_plus(v4, v3, v2) = v0))
% 13.17/3.58 | (11) ring_char_0(int)
% 13.17/3.58 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : (times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = v6 & plus_plus(v0, v6, v7) = v8 & ~ ord_less_eq(v0, v8, v1)))
% 13.17/3.58 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (times_times(v4, v3, v2) = v1) | ~ (times_times(v4, v3, v2) = v0))
% 13.17/3.58 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v3) = v4) | ~ (times_times(v0, v2, v4) = v6) | ~ (times_times(v0, v1, v4) = v5) | ~ (plus_plus(v0, v5, v6) = v7) | ~ semiring(v0) | ~ number(v0) | ? [v8] : (times_times(v0, v8, v4) = v7 & plus_plus(v0, v1, v2) = v8))
% 13.17/3.58 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ ord_less_eq(int, v1, v0) | ~ ord_less_eq(int, v0, v1))
% 13.17/3.58 | (16) ! [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))
% 13.17/3.58 | (17) ! [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))))
% 13.17/3.58 | (18) semiring_1(nat)
% 13.17/3.58 | (19) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ? [v2] : (bit0(v2) = v1 & ti(int, v0) = v2))
% 13.17/3.58 | (20) ! [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))))
% 13.17/3.58 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_1(v2) | ? [v4] : (power_power(v2, v0, v4) = v3 & ti(nat, v1) = v4))
% 13.17/3.58 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3))
% 13.17/3.58 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1))
% 13.17/3.58 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ linordered_idom(v0) | ~ ord_less(v0, v1, v3) | ? [v4] : ( ~ (v4 = v1) & ti(v0, v2) = v4))
% 13.17/3.58 | (25) ! [v0] : ~ ord_less(int, v0, v0)
% 13.17/3.58 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (undefined(v2) = v1) | ~ (undefined(v2) = v0))
% 13.17/3.59 | (27) plus_plus(nat, all_0_1_1, all_0_1_1) = all_0_4_4
% 13.17/3.59 | (28) ! [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))
% 13.17/3.59 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v0) = v2) | ~ (times_times(int, v2, v1) = v3) | ? [v4] : (bit0(v4) = v3 & times_times(int, v0, v1) = v4))
% 13.17/3.59 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v0, v1) | ord_less(v2, v0, v3))
% 13.17/3.59 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v0, v3) | ord_less(v2, v0, v1))
% 13.17/3.59 | (32) number(int)
% 13.17/3.59 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (times_times(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ linordered_ring(v2))
% 13.17/3.59 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (power_power(v0, v1, all_0_4_4) = v2) | ~ (one_one(v0) = v1) | ~ semiring_1(v0))
% 13.17/3.59 | (35) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ti(int, v1) = v1)
% 13.17/3.59 | (36) ! [v0] : ! [v1] : (v1 = v0 | ~ ord_less_eq(int, v0, v1) | ord_less(int, v0, v1))
% 13.17/3.59 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, all_0_12_12, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v1, v5) = v4))
% 13.17/3.59 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v1, v3) | ~ linordered_idom(v0) | ord_less_eq(int, all_0_12_12, v2))
% 13.17/3.59 | (39) linordered_idom(int)
% 13.17/3.59 | (40) number_number_of(nat, all_0_11_11) = all_0_4_4
% 13.17/3.59 | (41) ! [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)))
% 13.17/3.59 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v1, v3) | ~ linordered_idom(v0) | ord_less_eq(int, pls, v2))
% 13.17/3.59 | (43) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_1(v0) | ti(v0, v1) = v1)
% 13.17/3.59 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, v2, pls) | ~ linordered_idom(v0) | ord_less_eq(v0, v3, v1))
% 13.17/3.59 | (45) ti(int, t) = t
% 13.17/3.59 | (46) ! [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)))
% 13.17/3.59 | (47) semiring(nat)
% 13.17/3.59 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linord581940658strict(v0) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1))))
% 13.17/3.59 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(int, v0, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ~ ord_less_eq(int, v1, v2) | ord_less_eq(int, v3, v4))
% 13.17/3.59 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v4) = v5) | ~ (times_times(v0, v5, v3) = v6) | ~ (times_times(int, v1, v2) = v4) | ~ number_ring(v0) | ? [v7] : ? [v8] : ? [v9] : (number_number_of(v0, v2) = v8 & number_number_of(v0, v1) = v7 & times_times(v0, v8, v3) = v9 & times_times(v0, v7, v9) = v6))
% 13.17/3.59 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less(int, v2, v3) | ord_less_eq(int, v0, v1))
% 13.17/3.59 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less(int, v2, v3))
% 13.17/3.59 | (53) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_1(v0) | ti(v0, v1) = v1)
% 13.17/3.59 | (54) number_semiring(int)
% 13.17/3.59 | (55) one_one(int) = all_0_13_13
% 13.17/3.59 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ti(v2, v3) = v3)
% 13.17/3.59 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v1, v2) = v3) | ~ (times_times(int, v0, v3) = v4) | ? [v5] : (times_times(int, v5, v2) = v4 & times_times(int, v0, v1) = v5))
% 13.17/3.59 | (58) ! [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_12_12) = v5))
% 13.17/3.59 | (59) ! [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, v6, v1))
% 13.17/3.59 | (60) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit1(v0) = v2) | ~ (bit1(v0) = v1))
% 13.17/3.59 | (61) ! [v0] : ! [v1] : ( ~ (number_number_of(nat, v0) = v1) | ~ ord_less(int, pls, v0) | ord_less(nat, all_0_2_2, v1))
% 13.17/3.59 | (62) ! [v0] : ! [v1] : ( ~ (number_number_of(nat, v0) = v1) | ~ ord_less(nat, all_0_2_2, v1) | ord_less(int, pls, v0))
% 13.17/3.59 | (63) ! [v0] : ! [v1] : ( ~ ord_less(int, v0, v1) | ord_less_eq(int, v0, v1))
% 13.17/3.59 | (64) ? [v0] : ord_less_eq(int, v0, v0)
% 13.17/3.59 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (times_times(int, v2, v1) = v3) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v6 & times_times(v0, v5, v6) = v4))
% 13.17/3.59 | (66) linorder(int)
% 13.17/3.59 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v3, v1))
% 13.17/3.59 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, v2, all_0_12_12) | ~ linordered_idom(v0) | ord_less_eq(v0, v3, v1))
% 13.17/3.59 | (69) ! [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)))
% 13.17/3.59 | (70) ~ ord_less(int, all_0_6_6, all_0_14_14)
% 13.17/3.59 | (71) ord_less(int, all_0_6_6, all_0_5_5)
% 13.17/3.59 | (72) ord_less_eq(int, pls, pls)
% 13.17/3.59 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ti(v2, v3) = v3)
% 13.17/3.59 | (74) linord581940658strict(int)
% 13.17/3.59 | (75) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_1(v0))
% 13.17/3.59 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = v6 & plus_plus(v0, v6, v7) = v8))
% 13.17/3.59 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v0, v1) = v2) | times_times(int, v1, v0) = v2)
% 13.17/3.59 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v1, v0) = v2) | times_times(int, v0, v1) = v2)
% 13.17/3.60 | (79) ! [v0] : ! [v1] : (v1 = v0 | ~ (number_number_of(int, v0) = v1))
% 13.17/3.60 | (80) ! [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))
% 13.17/3.60 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, all_0_13_13) = v2) | ~ ord_less(int, v0, v1) | ord_less_eq(int, v2, v1))
% 13.17/3.60 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, all_0_13_13) = v2) | ~ ord_less_eq(int, v2, v1) | ord_less(int, v0, v1))
% 13.17/3.60 | (83) semiring(int)
% 13.17/3.60 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ti(v3, v2) = v1) | ~ (ti(v3, v2) = v0))
% 13.17/3.60 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(nat, v1) = v3) | ~ (number_number_of(nat, v0) = v2) | ~ ord_less(int, v0, v1) | ~ ord_less(int, pls, v1) | ord_less(nat, v2, v3))
% 13.17/3.60 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(int, v0, v3) = v4) | ~ (plus_plus(nat, v1, v2) = v3) | ? [v5] : ? [v6] : (power_power(int, v0, v2) = v6 & power_power(int, v0, v1) = v5 & times_times(int, v5, v6) = v4))
% 13.17/3.60 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (zero_zero(v2) = v1) | ~ (zero_zero(v2) = v0))
% 13.17/3.60 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v3, v2) = v4) | ~ (plus_plus(int, v0, v1) = v3) | ? [v5] : ? [v6] : (times_times(int, v1, v2) = v6 & times_times(int, v0, v2) = v5 & plus_plus(int, v5, v6) = v4))
% 13.17/3.60 | (89) ! [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))
% 13.17/3.60 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v3) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v0, v1))
% 13.17/3.60 | (91) twoSqu33214720sum2sq(all_0_6_6)
% 13.17/3.60 | (92) power_power(int, s, all_0_4_4) = all_0_3_3
% 13.17/3.60 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linord581940658strict(v0) | ord_less_eq(v0, v6, v1) | ? [v7] : ? [v8] : (ti(v0, v3) = v8 & ti(v0, v2) = v7 & ( ~ (v8 = v1) | ~ (v7 = v1))))
% 13.17/3.60 | (94) ! [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))
% 13.17/3.60 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (times_times(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 13.17/3.60 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v3, v1))
% 13.17/3.60 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v0, v3))
% 13.17/3.60 | (98) plus_plus(int, all_0_8_8, all_0_13_13) = all_0_7_7
% 13.17/3.60 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v4, v3) = v6) | ~ (times_times(v0, v4, v2) = v5) | ~ (plus_plus(v0, v5, v6) = v7) | ~ semiring(v0) | ~ number(v0) | ? [v8] : (times_times(v0, v4, v8) = v7 & plus_plus(v0, v2, v3) = v8))
% 13.17/3.60 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, all_0_12_12, v2) | ~ linordered_idom(v0) | ord_less_eq(v0, v1, v3))
% 13.17/3.60 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v0, v3) = v4) | ~ (plus_plus(int, v1, v2) = v3) | ? [v5] : ? [v6] : (times_times(int, v0, v2) = v6 & times_times(int, v0, v1) = v5 & plus_plus(int, v5, v6) = v4))
% 13.17/3.60 | (102) times_times(int, all_0_7_7, all_0_0_0) = all_0_6_6
% 13.17/3.60 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (times_times(v2, v0, v4) = v3 & ti(v2, v1) = v4))
% 13.17/3.60 | (104) ! [v0] : ! [v1] : ! [v2] : ( ~ (ti(v0, v1) = v2) | ti(v0, v2) = v2)
% 13.17/3.60 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3))
% 13.17/3.60 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v1) = v3) | ~ (bit1(v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1))
% 13.17/3.60 | (107) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit0(v1) = v2 & bit0(v0) = v2))
% 13.17/3.60 | (108) ~ ord_less_eq(int, all_0_13_13, t)
% 13.17/3.60 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ti(v2, v3) = v3)
% 13.17/3.60 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less(int, v0, v1) | ord_less_eq(int, v2, v3))
% 13.17/3.60 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit1(v0) = v2) | ~ (bit0(v1) = v3) | ~ ord_less_eq(int, v2, v3) | ord_less(int, v0, v1))
% 13.17/3.60 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring(v2) | ~ number(v2) | times_times(v2, v0, v1) = v4)
% 13.17/3.60 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v3, v1) | ~ linordered_idom(v0) | ord_less_eq(int, v2, all_0_12_12))
% 13.17/3.60 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v3, v4) = v5) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v6] : (number_number_of(v0, v6) = v5 & times_times(int, v2, v1) = v6))
% 13.17/3.60 | (115) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, v0, pls) | ord_less_eq(int, v1, pls))
% 13.17/3.60 | (116) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, v1, pls) | ord_less(int, v0, pls))
% 13.17/3.60 | (117) ord_less(int, all_0_14_14, all_0_7_7)
% 13.17/3.60 | (118) ! [v0] : ( ~ (number_number_of(nat, v0) = all_0_2_2) | ord_less_eq(int, v0, pls))
% 13.17/3.60 | (119) ring_11004092258visors(int)
% 13.17/3.60 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (times_times(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 13.17/3.60 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v4, v5) = v6) | ~ (plus_plus(v0, v2, v3) = v5) | ~ semiring(v0) | ~ number(v0) | ? [v7] : ? [v8] : (times_times(v0, v4, v3) = v8 & times_times(v0, v4, v2) = v7 & plus_plus(v0, v7, v8) = v6))
% 13.17/3.60 | (122) ti(int, m) = m
% 13.17/3.60 | (123) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ zprime(v0) | zprime(v1))
% 13.17/3.60 | (124) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ zprime(v1) | zprime(v0))
% 13.17/3.60 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring_1(v2) | power_power(v2, v0, v1) = v4)
% 13.17/3.60 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v1, v2) = v3) | ~ (ti(int, v0) = v2) | ~ number(v1) | number_number_of(v1, v0) = v3)
% 13.17/3.60 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v2, all_0_12_12) = v3) | ~ (one_one(v0) = v1) | ~ number_ring(v0) | ? [v5] : (number_number_of(v0, v2) = v5 & plus_plus(v0, v5, v1) = v4))
% 13.17/3.60 | (128) ti(int, pls) = pls
% 13.17/3.61 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ~ (plus_plus(v0, v3, v4) = v5) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v6] : (number_number_of(v0, v6) = v5 & plus_plus(int, v2, v1) = v6))
% 13.17/3.61 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(int, v3, v2) = v4) | ~ (times_times(int, v0, v1) = v3) | ? [v5] : (times_times(int, v1, v2) = v5 & times_times(int, v0, v5) = v4))
% 13.17/3.61 | (131) ! [v0] : ! [v1] : (v1 = all_0_2_2 | ~ (number_number_of(nat, v0) = v1) | ~ ord_less_eq(int, v0, pls))
% 13.17/3.61 | (132) ! [v0] : ! [v1] : ( ~ (plus_plus(int, all_0_13_13, v0) = v1) | ~ ord_less_eq(int, all_0_14_14, v0) | ord_less(int, all_0_14_14, v1))
% 13.17/3.61 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3))
% 13.17/3.61 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (bit0(v1) = v3) | ~ (bit0(v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1))
% 13.17/3.61 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v5) | ~ (ti(v0, v2) = v4) | ~ linord581940658strict(v0) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v1) & times_times(v0, v3, v3) = v7 & times_times(v0, v2, v2) = v6 & plus_plus(v0, v6, v7) = v8))
% 13.17/3.61 | (136) ord_less(int, t, all_0_7_7)
% 13.17/3.61 | (137) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v0, v1) = v2) | plus_plus(int, v1, v0) = v2)
% 13.17/3.61 | (138) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, v0) = v2) | plus_plus(int, v0, v1) = v2)
% 13.17/3.61 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (ti(v0, v2) = v3) | ~ (ti(v0, v1) = v2))
% 13.17/3.61 | (140) ! [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))
% 13.17/3.61 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ semiring(v2) | ~ number(v2) | times_times(v2, v0, v1) = v4)
% 13.17/3.61 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (times_times(int, v1, v2) = v3) | ~ number_ring(v0) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v6 & number_number_of(v0, v1) = v5 & times_times(v0, v5, v6) = v4))
% 13.17/3.61 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ linordered_ring(v2) | times_times(v2, v0, v1) = v4)
% 13.17/3.61 | (144) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ~ number(v1) | ? [v3] : (number_number_of(v1, v3) = v2 & ti(int, v0) = v3))
% 13.17/3.61 | (145) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ twoSqu33214720sum2sq(v0) | twoSqu33214720sum2sq(v1))
% 13.17/3.61 | (146) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ~ twoSqu33214720sum2sq(v1) | twoSqu33214720sum2sq(v0))
% 13.17/3.61 | (147) ! [v0] : ! [v1] : (v1 = v0 | ~ (times_times(int, all_0_13_13, v0) = v1))
% 13.17/3.61 | (148) bit0(all_0_12_12) = all_0_11_11
% 13.17/3.61 | (149) ? [v0] : ? [v1] : (ord_less_eq(int, v1, v0) | ord_less_eq(int, v0, v1))
% 13.17/3.61 | (150) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(int, v0, v1) = v2) | ? [v3] : ? [v4] : (bit0(v2) = v4 & bit0(v0) = v3 & times_times(int, v3, v1) = v4))
% 13.17/3.61 | (151) ord_less(int, t, all_0_13_13)
% 13.17/3.61 | (152) ord_less(int, t, all_0_14_14)
% 13.17/3.61 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(nat, v1) = v3) | ~ (number_number_of(nat, v0) = v2) | ~ ord_less(nat, v2, v3) | ~ ord_less(int, v0, v1) | ord_less(int, pls, v1))
% 13.17/3.61 | (154) semiring_1(int)
% 13.17/3.61 | (155) zprime(all_0_7_7)
% 13.17/3.61 | (156) times_times(int, all_0_7_7, all_0_14_14) = all_0_5_5
% 13.17/3.61 | (157) ! [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))
% 13.17/3.61 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ number_ring(v0) | ~ ord_less_eq(v0, v3, v4) | ~ linordered_idom(v0) | ord_less_eq(int, v1, v2))
% 13.17/3.61 | (159) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (bit0(v0) = v2) | ~ (bit0(v0) = v1))
% 13.17/3.61 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus_plus(int, v3, v1) = v5) | ~ (plus_plus(int, v2, v0) = v4) | ~ ord_less_eq(int, v0, v1) | ~ ord_less(int, v2, v3) | ord_less(int, v4, v5))
% 13.17/3.61 | (161) ! [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))
% 13.17/3.61 | (162) times_times(int, all_0_9_9, m) = all_0_8_8
% 13.17/3.61 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linord581940658strict(v0) | ? [v4] : ? [v5] : ? [v6] : (times_times(v0, v3, v3) = v5 & times_times(v0, v2, v2) = v4 & plus_plus(v0, v4, v5) = v6 & ord_less_eq(v0, v6, v1)))
% 13.17/3.61 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ linordered_ring(v2) | plus_plus(v2, v0, v1) = v4)
% 13.17/3.61 | (165) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less(int, pls, v1) | ord_less_eq(int, pls, v0))
% 13.17/3.61 | (166) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, pls, v0) | ord_less(int, pls, v1))
% 13.17/3.61 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ (times_times(int, v2, v3) = v4) | ? [v5] : (number_number_of(int, v5) = v4 & times_times(int, v0, v1) = v5))
% 13.17/3.61 | (168) ! [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))
% 13.17/3.61 | (169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v0, v1) | ord_less(v2, v3, v1))
% 13.17/3.61 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ linordered_idom(v2) | ~ ord_less(v2, v3, v1) | ord_less(v2, v0, v1))
% 13.17/3.61 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ linordered_ring(v2) | plus_plus(v2, v0, v1) = v4)
% 13.17/3.61 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (times_times(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring(v2) | ~ number(v2))
% 13.17/3.61 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v3) | ~ (number_number_of(v0, v1) = v4) | ~ linorder(v0) | ~ number(v0) | ord_less_eq(v0, v4, v3) | ord_less(v0, v3, v4))
% 13.17/3.61 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(int, v0, v2) = v4) | ~ (times_times(int, v0, v1) = v3) | ~ (plus_plus(int, v3, v4) = v5) | ? [v6] : (times_times(int, v0, v6) = v5 & plus_plus(int, v1, v2) = v6))
% 13.17/3.61 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (power_power(v2, v0, v3) = v4) | ~ (ti(nat, v1) = v3) | ~ semiring_1(v2) | power_power(v2, v0, v1) = v4)
% 13.17/3.61 | (176) ! [v0] : ! [v1] : (v1 = pls | ~ (times_times(int, pls, v0) = v1))
% 13.17/3.61 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (power_power(v4, v3, v2) = v1) | ~ (power_power(v4, v3, v2) = v0))
% 13.17/3.61 | (178) ! [v0] : ! [v1] : ( ~ (one_one(v0) = v1) | ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1)
% 13.17/3.61 | (179) ! [v0] : ! [v1] : ! [v2] : ( ~ (number_number_of(v1, v0) = v2) | ~ number(v1) | ti(v1, v2) = v2)
% 13.17/3.61 | (180) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, pls, v0) | ord_less_eq(int, pls, v1))
% 13.17/3.61 | (181) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, pls, v1) | ord_less_eq(int, pls, v0))
% 13.17/3.61 | (182) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (one_one(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ semiring_1(v0))
% 13.17/3.62 | (183) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ linordered_ring(v0) | ti(v0, v1) = v1)
% 13.17/3.62 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (plus_plus(v2, v3, v1) = v4) | ~ (ti(v2, v0) = v3) | ~ semiring(v2) | ~ number(v2) | plus_plus(v2, v0, v1) = v4)
% 13.17/3.62 | (185) ! [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))
% 13.17/3.62 | (186) plus_plus(int, all_0_3_3, all_0_13_13) = all_0_6_6
% 13.17/3.62 | (187) ! [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)))
% 13.17/3.62 | (188) ! [v0] : ! [v1] : ( ~ (zero_zero(v0) = v1) | ~ semiring_1(v0) | power_power(v0, v1, all_0_4_4) = v1)
% 13.17/3.62 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(nat, v1) = v3) | ~ (number_number_of(nat, v0) = v2) | ~ ord_less(nat, v2, v3) | ord_less(int, v0, v1))
% 13.17/3.62 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linordered_ring(v2) | ord_less_eq(v2, v3, v1))
% 13.17/3.62 | (191) ! [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))
% 13.17/3.62 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ number_ring(v0) | ~ ord_less_eq(int, v1, v2) | ~ linordered_idom(v0) | ord_less_eq(v0, v3, v4))
% 13.17/3.62 | (193) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (times_times(v2, v0, v3) = v4) | ~ (ti(v2, v1) = v3) | ~ linordered_ring(v2) | times_times(v2, v0, v1) = v4)
% 13.17/3.62 | (194) ti(int, s) = s
% 13.17/3.62 | (195) ? [v0] : ? [v1] : (v1 = v0 | ord_less(int, v1, v0) | ord_less(int, v0, v1))
% 13.17/3.62 | (196) ! [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))
% 13.17/3.62 | (197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (times_times(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (times_times(v2, v0, v4) = v3 & ti(v2, v1) = v4))
% 13.54/3.62 | (198) number_number_of(nat, all_0_12_12) = all_0_1_1
% 13.54/3.62 | (199) ! [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))
% 13.54/3.62 | (200) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v1) = v2) | ~ (bit1(v0) = v2))
% 13.54/3.62 | (201) zero_zero(nat) = all_0_2_2
% 13.54/3.62 | (202) number_number_of(nat, pls) = all_0_2_2
% 13.54/3.62 | (203) number_number_of(int, all_0_10_10) = all_0_9_9
% 13.54/3.62 | (204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4))
% 13.54/3.62 | (205) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v3) = v4) | ~ (plus_plus(int, v2, v1) = v3) | ~ number_semiring(v0) | ~ ord_less_eq(int, pls, v2) | ~ ord_less_eq(int, pls, v1) | ? [v5] : ? [v6] : (number_number_of(v0, v2) = v5 & number_number_of(v0, v1) = v6 & plus_plus(v0, v5, v6) = v4))
% 13.54/3.62 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (number_number_of(v0, v3) = v5) | ~ (times_times(v0, v4, v5) = v6) | ~ (plus_plus(v0, v1, v2) = v4) | ~ semiring(v0) | ~ number(v0) | ? [v7] : ? [v8] : (times_times(v0, v2, v5) = v8 & times_times(v0, v1, v5) = v7 & plus_plus(v0, v7, v8) = v6))
% 13.54/3.62 | (207) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less(v2, v0, v1) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v0, v3))
% 13.54/3.62 | (208) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (power_power(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring_1(v2))
% 13.54/3.62 | (209) linorder(nat)
% 13.54/3.62 | (210) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v3, v1) | ~ linordered_ring(v2) | ord_less_eq(v2, v0, v1))
% 13.54/3.62 | (211) ! [v0] : ! [v1] : ( ~ (undefined(v0) = v1) | ti(v0, v1) = v1)
% 13.54/3.62 | (212) ! [v0] : ! [v1] : ! [v2] : ( ~ (times_times(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 & times_times(int, v3, v4) = v5))
% 13.54/3.62 | (213) ! [v0] : ! [v1] : ( ~ (ti(int, v0) = v1) | ? [v2] : (bit1(v1) = v2 & bit1(v0) = v2))
% 13.54/3.62 | (214) number_number_of(int, pls) = all_0_14_14
% 13.54/3.62 | (215) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (zero_zero(v0) = v1) | ~ (ti(v0, v1) = v2) | ~ linordered_ring(v0))
% 13.54/3.62 | (216) ! [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))
% 13.54/3.62 | (217) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(int, pls, v2) | ~ linordered_idom(v0) | ord_less_eq(v0, v1, v3))
% 13.54/3.62 | (218) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (number_number_of(v3, v2) = v1) | ~ (number_number_of(v3, v2) = v0))
% 13.54/3.62 | (219) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, all_0_13_13) = v2) | ~ ord_less(int, v0, v2) | ord_less_eq(int, v0, v1))
% 13.54/3.62 | (220) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus_plus(int, v1, all_0_13_13) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less(int, v0, v2))
% 13.54/3.62 | (221) number(nat)
% 13.54/3.62 | (222) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less_eq(v2, v3, v1) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v0, v1))
% 13.54/3.62 | (223) number_semiring(nat)
% 13.54/3.62 | (224) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (number_number_of(v1, v0) = v2) | ~ (ti(v1, v2) = v3) | ~ number(v1))
% 13.54/3.62 | (225) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (number_number_of(v0, v2) = v5) | ~ (number_number_of(v0, v1) = v4) | ~ (times_times(v0, v5, v3) = v6) | ~ (times_times(v0, v4, v6) = v7) | ~ number_ring(v0) | ? [v8] : ? [v9] : (number_number_of(v0, v8) = v9 & times_times(v0, v9, v3) = v7 & times_times(int, v1, v2) = v8))
% 13.54/3.62 | (226) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (power_power(v0, v1, all_0_4_4) = v2) | ~ (zero_zero(v0) = v1) | ~ semiring_1(v0))
% 13.54/3.62 | (227) ! [v0] : ! [v1] : ! [v2] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v2) = v1) | ~ ring_11004092258visors(v0) | power_power(v0, v2, all_0_4_4) = v1)
% 13.54/3.62 | (228) times_times(int, all_0_7_7, t) = all_0_6_6
% 13.54/3.62 | (229) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 13.54/3.62 | (230) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_1(v2) | ti(v2, v3) = v3)
% 13.54/3.62 | (231) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (zero_zero(v0) = v1) | ~ (ti(v0, v3) = v1) | ~ (ti(v0, v2) = v1) | ~ linord581940658strict(v0) | ? [v4] : ? [v5] : (times_times(v0, v3, v3) = v5 & times_times(v0, v2, v2) = v4 & plus_plus(v0, v4, v5) = v1))
% 13.54/3.62 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v3) | ~ linordered_ring(v2) | ord_less_eq(v2, v0, v1))
% 13.54/3.62 | (233) ! [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_12_12, v2) = v5))
% 13.54/3.63 | (234) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v2) = v1) | ~ (bit0(v2) = v0))
% 13.54/3.63 | (235) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v1) | ~ linordered_ring(v2) | ord_less_eq(v2, v0, v3))
% 13.54/3.63 | (236) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ linordered_ring(v2))
% 13.54/3.63 | (237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v2, v0, v1) = v3) | ~ semiring_1(v2) | ? [v4] : (power_power(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 13.54/3.63 | (238) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ ord_less_eq(v0, v3, v4) | ~ ord_less(v0, v4, v3) | ~ linorder(v0) | ~ number(v0))
% 13.54/3.63 | (239) zero_zero(int) = all_0_14_14
% 13.54/3.63 | (240) one_one(nat) = all_0_1_1
% 13.54/3.63 | (241) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v1) = v3) | ~ ord_less_eq(v2, v0, v3) | ~ linorder(v2) | ~ number(v2) | ord_less_eq(v2, v0, v1))
% 13.54/3.63 | (242) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ? [v2] : (bit1(v2) = v1 & ti(int, v0) = v2))
% 13.54/3.63 | (243) ! [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))
% 13.54/3.63 | (244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (plus_plus(v2, v0, v4) = v3 & ti(v2, v1) = v4))
% 13.54/3.63 | (245) ! [v0] : ! [v1] : ! [v2] : ( ~ ord_less_eq(int, v2, v0) | ~ ord_less_eq(int, v1, v2) | ord_less_eq(int, v1, v0))
% 13.54/3.63 | (246) ! [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))
% 13.54/3.63 | (247) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, v0, pls) | ord_less_eq(int, v1, pls))
% 13.54/3.63 | (248) ! [v0] : ! [v1] : ( ~ (bit0(v0) = v1) | ~ ord_less_eq(int, v1, pls) | ord_less_eq(int, v0, pls))
% 13.54/3.63 | (249) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (undefined(v0) = v1) | ~ (ti(v0, v1) = v2))
% 13.54/3.63 | (250) ! [v0] : ! [v1] : (v1 = v0 | ~ (times_times(int, v0, all_0_13_13) = v1))
% 13.54/3.63 | (251) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less_eq(int, v0, v1) | ord_less_eq(int, v2, v3))
% 13.54/3.63 | (252) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(int, v1) = v3) | ~ (number_number_of(int, v0) = v2) | ~ ord_less_eq(int, v2, v3) | ord_less_eq(int, v0, v1))
% 13.54/3.63 | (253) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (number_number_of(v0, v2) = v4) | ~ (number_number_of(v0, v1) = v3) | ~ (times_times(v0, v3, v4) = v5) | ~ number_ring(v0) | ? [v6] : (number_number_of(v0, v6) = v5 & times_times(int, v1, v2) = v6))
% 13.54/3.63 | (254) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, pls, v0) | ord_less_eq(int, pls, v1))
% 13.54/3.63 | (255) ! [v0] : ! [v1] : ( ~ (bit1(v0) = v1) | ~ ord_less_eq(int, pls, v1) | ord_less_eq(int, pls, v0))
% 13.54/3.63 | (256) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (number_number_of(v0, v2) = v3) | ~ (zero_zero(v0) = v1) | ~ number_ring(v0) | ~ ord_less_eq(v0, v3, v1) | ~ linordered_idom(v0) | ord_less_eq(int, v2, pls))
% 13.54/3.63 | (257) number_ring(int)
% 13.54/3.63 | (258) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_power(v0, v2, all_0_4_4) = v1) | ~ (zero_zero(v0) = v1) | ~ ring_11004092258visors(v0) | ti(v0, v2) = v1)
% 13.54/3.63 | (259) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (times_times(int, v1, v2) = v4) | ~ (times_times(int, v0, v2) = v3) | ~ (plus_plus(int, v3, v4) = v5) | ? [v6] : (times_times(int, v6, v2) = v5 & plus_plus(int, v0, v1) = v6))
% 13.54/3.63 | (260) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (ti(v2, v0) = v3) | ~ ord_less(v2, v3, v1) | ~ linorder(v2) | ~ number(v2) | ord_less(v2, v0, v1))
% 13.54/3.63 | (261) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ linordered_ring(v2) | ti(v2, v3) = v3)
% 13.54/3.63 | (262) ! [v0] : ( ~ ord_less(int, all_0_14_14, v0) | ord_less_eq(int, all_0_13_13, v0))
% 13.54/3.63 | (263) ! [v0] : ( ~ ord_less_eq(int, all_0_13_13, v0) | ord_less(int, all_0_14_14, v0))
% 13.54/3.63 | (264) bit0(all_0_11_11) = all_0_10_10
% 13.54/3.63 | (265) bit1(pls) = all_0_12_12
% 13.54/3.63 | (266) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit1(v2) = v1) | ~ (bit1(v2) = v0))
% 13.54/3.63 | (267) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (bit0(v1) = v2) | ~ (bit0(v0) = v2))
% 13.54/3.63 | (268) ! [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))
% 13.54/3.63 | (269) ! [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))
% 13.54/3.63 | (270) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v1) | ~ linord581940658strict(v0) | (ti(v0, v3) = v1 & ti(v0, v2) = v1))
% 13.54/3.63 | (271) ! [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)))
% 13.54/3.63 | (272) ! [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))
% 13.54/3.63 | (273) linordered_ring(int)
% 13.54/3.63 | (274) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus_plus(v2, v0, v1) = v3) | ~ semiring(v2) | ~ number(v2) | ? [v4] : (plus_plus(v2, v4, v1) = v3 & ti(v2, v0) = v4))
% 13.54/3.63 | (275) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (plus_plus(v2, v0, v1) = v3) | ~ (ti(v2, v3) = v4) | ~ semiring(v2) | ~ number(v2))
% 13.54/3.63 | (276) ! [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))
% 13.54/3.63 | (277) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (zero_zero(v0) = v1) | ~ (times_times(v0, v3, v3) = v5) | ~ (times_times(v0, v2, v2) = v4) | ~ (plus_plus(v0, v4, v5) = v6) | ~ linordered_ring(v0) | ord_less_eq(v0, v1, v6))
% 13.54/3.63 | (278) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (power_power(v0, v2, all_0_4_4) = v3) | ~ (zero_zero(v0) = v1) | ~ linordered_idom(v0) | ~ ord_less(v0, v3, v1))
% 13.54/3.63 | (279) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_one(v2) = v1) | ~ (one_one(v2) = v0))
% 13.54/3.63 |
% 13.54/3.63 | Instantiating formula (79) with all_0_14_14, pls and discharging atoms number_number_of(int, pls) = all_0_14_14, yields:
% 13.54/3.63 | (280) all_0_14_14 = pls
% 13.54/3.63 |
% 13.54/3.64 | From (280) and (156) follows:
% 13.54/3.64 | (281) times_times(int, all_0_7_7, pls) = all_0_5_5
% 13.54/3.64 |
% 13.54/3.64 | From (280) and (70) follows:
% 13.54/3.64 | (282) ~ ord_less(int, all_0_6_6, pls)
% 13.54/3.64 |
% 13.54/3.64 | Instantiating formula (78) with all_0_5_5, all_0_7_7, pls and discharging atoms times_times(int, all_0_7_7, pls) = all_0_5_5, yields:
% 13.54/3.64 | (283) times_times(int, pls, all_0_7_7) = all_0_5_5
% 13.54/3.64 |
% 13.54/3.64 | Instantiating formula (176) with all_0_5_5, all_0_7_7 and discharging atoms times_times(int, pls, all_0_7_7) = all_0_5_5, yields:
% 13.54/3.64 | (284) all_0_5_5 = pls
% 13.54/3.64 |
% 13.54/3.64 | From (284) and (71) follows:
% 13.54/3.64 | (285) ord_less(int, all_0_6_6, pls)
% 13.54/3.64 |
% 13.54/3.64 | Using (285) and (282) yields:
% 13.54/3.64 | (286) $false
% 13.54/3.64 |
% 13.54/3.64 |-The branch is then unsatisfiable
% 13.54/3.64 % SZS output end Proof for theBenchmark
% 13.54/3.64
% 13.54/3.64 3049ms
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