%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n010.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 : Wed Jul 20 17:49:47 EDT 2022

% Result   : Theorem 24.84s 7.14s
% Output   : Proof 44.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 04:35:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.61/0.60          ____       _                          
% 0.61/0.60    ___  / __ \_____(_)___  ________  __________
% 0.61/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.61/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.61/0.60  
% 0.61/0.60  A Theorem Prover for First-Order Logic
% 0.61/0.60  (ePrincess v.1.0)
% 0.61/0.60  
% 0.61/0.60  (c) Philipp Rümmer, 2009-2015
% 0.61/0.60  (c) Peter Backeman, 2014-2015
% 0.61/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.60  Bug reports to peter@backeman.se
% 0.61/0.60  
% 0.61/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.60  
% 0.61/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.31/1.10  Prover 0: Preprocessing ...
% 4.04/1.61  Prover 0: Warning: ignoring some quantifiers
% 4.37/1.65  Prover 0: Constructing countermodel ...
% 19.81/5.94  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.10/6.07  Prover 1: Preprocessing ...
% 21.58/6.33  Prover 1: Warning: ignoring some quantifiers
% 21.58/6.34  Prover 1: Constructing countermodel ...
% 24.84/7.13  Prover 1: proved (1195ms)
% 24.84/7.13  Prover 0: stopped
% 24.84/7.13  
% 24.84/7.14  No countermodel exists, formula is valid
% 24.84/7.14  % SZS status Theorem for theBenchmark
% 24.84/7.14  
% 24.84/7.14  Generating proof ... Warning: ignoring some quantifiers
% 43.29/12.12  found it (size 186)
% 43.29/12.12  
% 43.29/12.12  % SZS output start Proof for theBenchmark
% 43.29/12.12  Assumed formulas after preprocessing and simplification: 
% 43.29/12.12  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (s_worst7_init = init & s_sworst7_init = init & s_best7_init = init &  ~ (def = use) & minus(n410, n1) = v0 & minus(n3, n1) = v1 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv19, v0) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv19) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = v2 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true &  ? [v10] :  ? [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] :  ! [v22] :  ! [v23] :  ! [v24] :  ! [v25] :  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (tptp_mmul(v24, v25) = v26) |  ~ (tptp_mmul(v17, v21) = v22) |  ~ (tptp_mmul(v16, v22) = v23) |  ~ (tptp_mmul(v15, v18) = v19) |  ~ (tptp_mmul(v14, v19) = v20) |  ~ (tptp_mmul(v13, v26) = v27) |  ~ (tptp_madd(v20, v23) = v24) |  ~ (tptp_madd(v12, v27) = v28) |  ~ (trans(v16) = v21) |  ~ (trans(v14) = v18) |  ~ (trans(v13) = v25) |  ~ (a_select3(v28, v29, v30) = v31) |  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] : ((v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 &  ~ (v39 = v38) & a_select3(v17, v33, v32) = v39 & a_select3(v17, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 &  ~ (v39 = v38) & a_select3(v15, v33, v32) = v39 & a_select3(v15, v32, v33) = v38 & leq(v33, v11) = 0 & leq(v32, v11) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (v37 = 0 & v36 = 0 & v35 = 0 & v34 = 0 &  ~ (v39 = v38) & a_select3(v12, v33, v32) = v39 & a_select3(v12, v32, v33) = v38 & leq(v33, v10) = 0 & leq(v32, v10) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v10) = v35 & leq(v29, v10) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) |  ~ (v34 = 0) |  ~ (v33 = 0) |  ~ (v32 = 0) | v36 = v31)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v20 = v16 |  ~ (tptp_const_array2(v17, v18, v16) = v19) |  ~ (a_select3(v19, v10, v13) = v20) |  ~ (dim(v14, v15) = v18) |  ~ (dim(v11, v12) = v17) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (leq(v14, v13) = v23 & leq(v13, v15) = v24 & leq(v11, v10) = v21 & leq(v10, v12) = v22 & ( ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0)))) &  ? [v10] :  ? [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (tptp_mmul(v13, v14) = v15) |  ~ (tptp_mmul(v12, v15) = v16) |  ~ (trans(v12) = v14) |  ~ (a_select3(v16, v17, v18) = v19) |  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 &  ~ (v27 = v26) & a_select3(v13, v21, v20) = v27 & a_select3(v13, v20, v21) = v26 & leq(v21, v11) = 0 & leq(v20, v11) = 0 & leq(n0, v21) = 0 & leq(n0, v20) = 0) | (a_select3(v16, v18, v17) = v24 & leq(v18, v10) = v23 & leq(v17, v10) = v21 & leq(n0, v18) = v22 & leq(n0, v17) = v20 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) |  ~ (v20 = 0) | v24 = v19)))) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (tptp_mmul(v12, v13) = v14) |  ~ (tptp_mmul(v11, v14) = v15) |  ~ (trans(v11) = v13) |  ~ (a_select3(v15, v16, v17) = v18) |  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 &  ~ (v26 = v25) & a_select3(v12, v20, v19) = v26 & a_select3(v12, v19, v20) = v25 & leq(v20, v10) = 0 & leq(v19, v10) = 0 & leq(n0, v20) = 0 & leq(n0, v19) = 0) | (a_select3(v15, v17, v16) = v23 & leq(v17, v10) = v22 & leq(v16, v10) = v20 & leq(n0, v17) = v21 & leq(n0, v16) = v19 & ( ~ (v22 = 0) |  ~ (v21 = 0) |  ~ (v20 = 0) |  ~ (v19 = 0) | v23 = v18)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = v15 |  ~ (tptp_update3(v14, v12, v13, v15) = v16) |  ~ (a_select3(v16, v10, v11) = v17) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 &  ~ (v24 = v15) & a_select3(v14, v18, v19) = v24 & leq(v19, v13) = 0 & leq(v18, v12) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (leq(v11, v13) = v21 & leq(v10, v12) = v19 & leq(n0, v11) = v20 & leq(n0, v10) = v18 & ( ~ (v21 = 0) |  ~ (v20 = 0) |  ~ (v19 = 0) |  ~ (v18 = 0))))) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = v10 | v13 = v11 |  ~ (tptp_update3(v14, v11, v12, v15) = v16) |  ~ (a_select3(v16, v13, v12) = v17) |  ? [v18] : ( ~ (v18 = v10) & a_select3(v14, v13, v12) = v18)) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (tptp_update3(v11, v14, v14, v15) = v16) |  ~ (a_select3(v16, v12, v13) = v17) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 &  ~ (v25 = v24) & a_select3(v11, v19, v18) = v25 & a_select3(v11, v18, v19) = v24 & leq(v19, v10) = 0 & leq(v18, v10) = 0 & leq(n0, v19) = 0 & leq(n0, v18) = 0) | (a_select3(v16, v13, v12) = v24 & leq(v14, v10) = v23 & leq(v13, v10) = v21 & leq(v12, v10) = v19 & leq(n0, v14) = v22 & leq(n0, v13) = v20 & leq(n0, v12) = v18 & ( ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) |  ~ (v20 = 0) |  ~ (v19 = 0) |  ~ (v18 = 0) | v24 = v17)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v13 |  ~ (dim(v11, v12) = v14) |  ~ (tptp_const_array1(v14, v13) = v15) |  ~ (a_select2(v15, v10) = v16) |  ? [v17] :  ? [v18] : (leq(v11, v10) = v17 & leq(v10, v12) = v18 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v10 | v12 = v11 |  ~ (tptp_update2(v13, v11, v14) = v15) |  ~ (a_select2(v15, v12) = v16) |  ? [v17] : ( ~ (v17 = v10) & a_select2(v13, v12) = v17)) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (tptp_msub(v11, v12) = v13) |  ~ (a_select3(v13, v14, v15) = v16) |  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 &  ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 &  ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) |  ~ (v19 = 0) |  ~ (v18 = 0) |  ~ (v17 = 0) | v21 = v16)))) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (tptp_madd(v11, v12) = v13) |  ~ (a_select3(v13, v14, v15) = v16) |  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 &  ~ (v24 = v23) & a_select3(v12, v18, v17) = v24 & a_select3(v12, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 &  ~ (v24 = v23) & a_select3(v11, v18, v17) = v24 & a_select3(v11, v17, v18) = v23 & leq(v18, v10) = 0 & leq(v17, v10) = 0 & leq(n0, v18) = 0 & leq(n0, v17) = 0) | (a_select3(v13, v15, v14) = v21 & leq(v15, v10) = v20 & leq(v14, v10) = v18 & leq(n0, v15) = v19 & leq(n0, v14) = v17 & ( ~ (v20 = 0) |  ~ (v19 = 0) |  ~ (v18 = 0) |  ~ (v17 = 0) | v21 = v16)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v13 |  ~ (tptp_update2(v12, v11, v13) = v14) |  ~ (a_select2(v14, v10) = v15) |  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] : ((v18 = 0 & v17 = 0 &  ~ (v19 = v13) & a_select2(v12, v16) = v19 & leq(v16, v11) = 0 & leq(n0, v16) = 0) | (leq(v10, v11) = v17 & leq(n0, v10) = v16 & ( ~ (v17 = 0) |  ~ (v16 = 0))))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = v13 |  ~ (tptp_update3(v10, v11, v12, v13) = v14) |  ~ (a_select3(v14, v11, v12) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v11 = v10 |  ~ (tptp_update3(v15, v14, v13, v12) = v11) |  ~ (tptp_update3(v15, v14, v13, v12) = v10)) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (inv(v11) = v12) |  ~ (a_select3(v12, v13, v14) = v15) |  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 &  ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) |  ~ (v18 = 0) |  ~ (v17 = 0) |  ~ (v16 = 0) | v20 = v15)))) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (trans(v11) = v12) |  ~ (a_select3(v12, v13, v14) = v15) |  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 &  ~ (v23 = v22) & a_select3(v11, v17, v16) = v23 & a_select3(v11, v16, v17) = v22 & leq(v17, v10) = 0 & leq(v16, v10) = 0 & leq(n0, v17) = 0 & leq(n0, v16) = 0) | (a_select3(v12, v14, v13) = v20 & leq(v14, v10) = v19 & leq(v13, v10) = v17 & leq(n0, v14) = v18 & leq(n0, v13) = v16 & ( ~ (v19 = 0) |  ~ (v18 = 0) |  ~ (v17 = 0) |  ~ (v16 = 0) | v20 = v15)))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v12 |  ~ (tptp_update2(v10, v11, v12) = v13) |  ~ (a_select2(v13, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (succ(v11) = v13) |  ~ (succ(v10) = v12) |  ~ (leq(v12, v13) = v14) |  ? [v15] : ( ~ (v15 = 0) & leq(v10, v11) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (tptp_update2(v14, v13, v12) = v11) |  ~ (tptp_update2(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (sum(v14, v13, v12) = v11) |  ~ (sum(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (tptp_const_array2(v14, v13, v12) = v11) |  ~ (tptp_const_array2(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (a_select3(v14, v13, v12) = v11) |  ~ (a_select3(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (uniform_int_rnd(v11, v10) = v12) |  ~ (leq(v12, v10) = v13) |  ? [v14] : ( ~ (v14 = 0) & leq(n0, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (succ(v11) = v12) |  ~ (leq(v10, v12) = v13) |  ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (succ(v11) = v12) |  ~ (gt(v12, v10) = v13) |  ? [v14] : ( ~ (v14 = 0) & leq(v10, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (pred(v11) = v12) |  ~ (leq(v10, v12) = v13) |  ? [v14] : ( ~ (v14 = 0) & gt(v11, v10) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (leq(v10, v12) = v13) |  ~ (leq(v10, v11) = 0) |  ? [v14] : ( ~ (v14 = 0) & leq(v11, v12) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (gt(v10, v12) = v13) |  ~ (gt(v10, v11) = 0) |  ? [v14] : ( ~ (v14 = 0) & gt(v11, v12) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (minus(v13, v12) = v11) |  ~ (minus(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (plus(v13, v12) = v11) |  ~ (plus(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (tptp_mmul(v13, v12) = v11) |  ~ (tptp_mmul(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (tptp_msub(v13, v12) = v11) |  ~ (tptp_msub(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (tptp_madd(v13, v12) = v11) |  ~ (tptp_madd(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (dim(v13, v12) = v11) |  ~ (dim(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (tptp_const_array1(v13, v12) = v11) |  ~ (tptp_const_array1(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (a_select2(v13, v12) = v11) |  ~ (a_select2(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (uniform_int_rnd(v13, v12) = v11) |  ~ (uniform_int_rnd(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (geq(v13, v12) = v11) |  ~ (geq(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (lt(v13, v12) = v11) |  ~ (lt(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (leq(v13, v12) = v11) |  ~ (leq(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (gt(v13, v12) = v11) |  ~ (gt(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (succ(v11) = v13) |  ~ (succ(v10) = v12) |  ~ (leq(v12, v13) = 0) | leq(v10, v11) = 0) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = init |  ~ (a_select3(simplex7_init, v11, v10) = v12) |  ~ (leq(v10, n2) = 0) |  ? [v13] :  ? [v14] : (( ~ (v13 = 0) & leq(n0, v10) = v13) | (leq(v11, n3) = v14 & leq(n0, v11) = v13 & ( ~ (v14 = 0) |  ~ (v13 = 0))))) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 | v11 = v10 |  ~ (gt(v11, v10) = v12) |  ? [v13] : ( ~ (v13 = 0) & leq(v10, v11) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 | v11 = v10 |  ~ (gt(v10, v11) = v12) | gt(v11, v10) = 0) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (succ(v10) = v11) |  ~ (gt(v11, v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (geq(v10, v11) = v12) |  ? [v13] : ( ~ (v13 = 0) & leq(v11, v10) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (lt(v10, v11) = v12) |  ? [v13] : ( ~ (v13 = 0) & gt(v11, v10) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (inv(v12) = v11) |  ~ (inv(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (trans(v12) = v11) |  ~ (trans(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (succ(v12) = v11) |  ~ (succ(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (pred(v12) = v11) |  ~ (pred(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (minus(v10, v11) = v12) |  ~ (leq(v12, v10) = 0) | leq(n0, v11) = 0) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (uniform_int_rnd(v11, v10) = v12) |  ? [v13] :  ? [v14] : (leq(n0, v12) = v14 & leq(n0, v10) = v13 & ( ~ (v13 = 0) | v14 = 0))) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (succ(v11) = v12) |  ~ (gt(v12, v10) = 0) | leq(v10, v11) = 0) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (succ(v10) = v12) |  ~ (leq(v12, v11) = 0) | gt(v11, v10) = 0) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (pred(v11) = v12) |  ~ (leq(v10, v12) = 0) | gt(v11, v10) = 0) &  ! [v10] :  ! [v11] : (v11 = init |  ~ (a_select2(s_center7_init, v10) = v11) |  ? [v12] :  ? [v13] : (leq(v10, n2) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0)))) &  ! [v10] :  ! [v11] : (v11 = init |  ~ (a_select2(s_values7_init, v10) = v11) |  ? [v12] :  ? [v13] : (leq(v10, n3) = v13 & leq(n0, v10) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0)))) &  ! [v10] :  ! [v11] : (v11 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v10) = v11)) &  ! [v10] :  ! [v11] : (v11 = n0 |  ~ (sum(n0, tptp_minus_1, v10) = v11)) &  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (leq(v10, v10) = v11)) &  ! [v10] :  ! [v11] : ( ~ (minus(v10, n1) = v11) | pred(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (plus(v10, n5) = v11) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(v10, n4) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(v10, n3) = v11) |  ? [v12] :  ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(v10, n2) = v11) |  ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(v10, n1) = v11) | succ(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (plus(n5, v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (succ(v15) = v11 & succ(v14) = v15 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(n4, v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (succ(v14) = v11 & succ(v13) = v14 & succ(v12) = v13 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(n3, v10) = v11) |  ? [v12] :  ? [v13] : (succ(v13) = v11 & succ(v12) = v13 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(n2, v10) = v11) |  ? [v12] : (succ(v12) = v11 & succ(v10) = v12)) &  ! [v10] :  ! [v11] : ( ~ (plus(n1, v10) = v11) | succ(v10) = v11) &  ! [v10] :  ! [v11] : ( ~ (succ(v10) = v11) | pred(v11) = v10) &  ! [v10] :  ! [v11] : ( ~ (pred(v10) = v11) | succ(v11) = v10) &  ! [v10] :  ! [v11] : ( ~ (geq(v10, v11) = 0) | leq(v11, v10) = 0) &  ! [v10] :  ! [v11] : ( ~ (lt(v10, v11) = 0) | gt(v11, v10) = 0) &  ! [v10] :  ! [v11] : ( ~ (gt(v11, v10) = 0) | leq(v10, v11) = 0) &  ! [v10] : (v10 = n5 | v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 |  ~ (leq(v10, n5) = 0) |  ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) &  ! [v10] : (v10 = n4 | v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 |  ~ (leq(v10, n4) = 0) |  ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) &  ! [v10] : (v10 = n3 | v10 = n2 | v10 = n1 | v10 = n0 |  ~ (leq(v10, n3) = 0) |  ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) &  ! [v10] : (v10 = n2 | v10 = n1 | v10 = n0 |  ~ (leq(v10, n2) = 0) |  ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) &  ! [v10] : (v10 = n1 | v10 = n0 |  ~ (leq(v10, n1) = 0) |  ? [v11] : ( ~ (v11 = 0) & leq(n0, v10) = v11)) &  ! [v10] : (v10 = n0 |  ~ (leq(n0, v10) = 0) |  ? [v11] : ( ~ (v11 = 0) & leq(v10, n0) = v11)) &  ! [v10] : ( ~ (leq(v10, v1) = 0) |  ? [v11] :  ? [v12] : (a_select2(s_try7_init, v10) = v12 & leq(n0, v10) = v11 & ( ~ (v11 = 0) | v12 = init))) &  ! [v10] :  ~ (gt(v10, v10) = 0) & ( ~ (v2 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((v8 = 0 & v7 = 0 & v5 = 0 & v4 = 0 &  ~ (v9 = init) & a_select3(simplex7_init, v6, v3) = v9 & leq(v6, n3) = 0 & leq(v3, n2) = 0 & leq(n0, v6) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 &  ~ (v6 = init) & a_select2(s_try7_init, v3) = v6 & leq(v3, v1) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 &  ~ (v6 = init) & a_select2(s_center7_init, v3) = v6 & leq(v3, n2) = 0 & leq(n0, v3) = 0) | (v5 = 0 & v4 = 0 &  ~ (v6 = init) & a_select2(s_values7_init, v3) = v6 & leq(v3, n3) = 0 & leq(n0, v3) = 0) | (v2 = 0 & ( ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init)))))
% 43.34/12.21  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 43.34/12.21  | (1) s_worst7_init = init & s_sworst7_init = init & s_best7_init = init &  ~ (def = use) & minus(n410, n1) = all_0_9_9 & minus(n3, n1) = all_0_8_8 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv19, all_0_9_9) = 0 & leq(s_worst7, n3) = 0 & leq(s_sworst7, n3) = 0 & leq(s_best7, n3) = 0 & leq(n0, pv19) = 0 & leq(n0, s_worst7) = 0 & leq(n0, s_sworst7) = 0 & leq(n0, s_best7) = 0 & gt(loopcounter, n1) = all_0_7_7 & gt(n410, n5) = 0 & gt(n410, n4) = 0 & gt(n410, n3) = 0 & gt(n410, n2) = 0 & gt(n410, n1) = 0 & gt(n410, tptp_minus_1) = 0 & gt(n410, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true &  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) |  ~ (tptp_mmul(v7, v11) = v12) |  ~ (tptp_mmul(v6, v12) = v13) |  ~ (tptp_mmul(v5, v8) = v9) |  ~ (tptp_mmul(v4, v9) = v10) |  ~ (tptp_mmul(v3, v16) = v17) |  ~ (tptp_madd(v10, v13) = v14) |  ~ (tptp_madd(v2, v17) = v18) |  ~ (trans(v6) = v11) |  ~ (trans(v4) = v8) |  ~ (trans(v3) = v15) |  ~ (a_select3(v18, v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v26 = v21)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v6 |  ~ (tptp_const_array2(v7, v8, v6) = v9) |  ~ (a_select3(v9, v0, v3) = v10) |  ~ (dim(v4, v5) = v8) |  ~ (dim(v1, v2) = v7) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) |  ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0)))) &  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) |  ~ (tptp_mmul(v2, v5) = v6) |  ~ (trans(v2) = v4) |  ~ (a_select3(v6, v7, v8) = v9) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 &  ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) | v14 = v9)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) |  ~ (tptp_mmul(v1, v4) = v5) |  ~ (trans(v1) = v3) |  ~ (a_select3(v5, v6, v7) = v8) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 &  ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) | v13 = v8)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (tptp_update3(v4, v2, v3, v5) = v6) |  ~ (a_select3(v6, v0, v1) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 &  ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v0 | v3 = v1 |  ~ (tptp_update3(v4, v1, v2, v5) = v6) |  ~ (a_select3(v6, v3, v2) = v7) |  ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) |  ~ (a_select3(v6, v2, v3) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 &  ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) | v14 = v7)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v3 |  ~ (dim(v1, v2) = v4) |  ~ (tptp_const_array1(v4, v3) = v5) |  ~ (a_select2(v5, v0) = v6) |  ? [v7] :  ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v0 | v2 = v1 |  ~ (tptp_update2(v3, v1, v4) = v5) |  ~ (a_select2(v5, v2) = v6) |  ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) |  ~ (a_select3(v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v11 = v6)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) |  ~ (a_select3(v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v11 = v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update2(v2, v1, v3) = v4) |  ~ (a_select2(v4, v0) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v8 = 0 & v7 = 0 &  ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update3(v0, v1, v2, v3) = v4) |  ~ (a_select3(v4, v1, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (tptp_update3(v5, v4, v3, v2) = v1) |  ~ (tptp_update3(v5, v4, v3, v2) = v0)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inv(v1) = v2) |  ~ (a_select3(v2, v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) | v10 = v5)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (trans(v1) = v2) |  ~ (a_select3(v2, v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) | v10 = v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (tptp_update2(v0, v1, v2) = v3) |  ~ (a_select2(v3, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_update2(v4, v3, v2) = v1) |  ~ (tptp_update2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (sum(v4, v3, v2) = v1) |  ~ (sum(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_const_array2(v4, v3, v2) = v1) |  ~ (tptp_const_array2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (a_select3(v4, v3, v2) = v1) |  ~ (a_select3(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (uniform_int_rnd(v1, v0) = v2) |  ~ (leq(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (gt(v0, v2) = v3) |  ~ (gt(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (plus(v3, v2) = v1) |  ~ (plus(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_mmul(v3, v2) = v1) |  ~ (tptp_mmul(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_msub(v3, v2) = v1) |  ~ (tptp_msub(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_madd(v3, v2) = v1) |  ~ (tptp_madd(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (dim(v3, v2) = v1) |  ~ (dim(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_const_array1(v3, v2) = v1) |  ~ (tptp_const_array1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (a_select2(v3, v2) = v1) |  ~ (a_select2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (uniform_int_rnd(v3, v2) = v1) |  ~ (uniform_int_rnd(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lt(v3, v2) = v1) |  ~ (lt(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (gt(v3, v2) = v1) |  ~ (gt(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = init |  ~ (a_select3(simplex7_init, v1, v0) = v2) |  ~ (leq(v0, n2) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (gt(v1, v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (lt(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inv(v2) = v1) |  ~ (inv(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (trans(v2) = v1) |  ~ (trans(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pred(v2) = v1) |  ~ (pred(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (minus(v0, v1) = v2) |  ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) |  ? [v3] :  ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v2) |  ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] : (v1 = init |  ~ (a_select2(s_center7_init, v0) = v1) |  ? [v2] :  ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0)))) &  ! [v0] :  ! [v1] : (v1 = init |  ~ (a_select2(s_values7_init, v0) = v1) |  ? [v2] :  ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0)))) &  ! [v0] :  ! [v1] : (v1 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = n0 |  ~ (sum(n0, tptp_minus_1, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (leq(v0, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (plus(v0, n5) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(v0, n4) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(v0, n3) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(v0, n2) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (plus(n5, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(n4, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(n3, v0) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(n2, v0) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2)) &  ! [v0] :  ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0) &  ! [v0] :  ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0) &  ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n5) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) &  ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n4) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) &  ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n3) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) &  ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n2) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) &  ! [v0] : (v0 = n1 | v0 = n0 |  ~ (leq(v0, n1) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) &  ! [v0] : (v0 = n0 |  ~ (leq(n0, v0) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1)) &  ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) |  ? [v1] :  ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init))) &  ! [v0] :  ~ (gt(v0, v0) = 0) & ( ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)) & ((all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init))))
% 43.80/12.24  |
% 43.80/12.24  | Applying alpha-rule on (1) yields:
% 43.80/12.24  | (2)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 43.80/12.24  | (3) s_best7_init = init
% 43.80/12.24  | (4) minus(n410, n1) = all_0_9_9
% 43.80/12.24  | (5) gt(n5, n3) = 0
% 43.80/12.24  | (6)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 43.80/12.24  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (sum(v4, v3, v2) = v1) |  ~ (sum(v4, v3, v2) = v0))
% 43.80/12.24  | (8)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v0 | v2 = v1 |  ~ (tptp_update2(v3, v1, v4) = v5) |  ~ (a_select2(v5, v2) = v6) |  ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7))
% 43.80/12.24  | (9) s_worst7_init = init
% 43.80/12.24  | (10) leq(s_best7, n3) = 0
% 43.80/12.24  | (11)  ! [v0] :  ! [v1] : (v1 = init |  ~ (a_select2(s_center7_init, v0) = v1) |  ? [v2] :  ? [v3] : (leq(v0, n2) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0))))
% 43.80/12.24  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0))
% 43.80/12.24  | (13) gt(n5, tptp_minus_1) = 0
% 43.80/12.24  | (14)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inv(v1) = v2) |  ~ (a_select3(v2, v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) | v10 = v5))))
% 43.80/12.24  | (15)  ! [v0] :  ! [v1] : (v1 = n0 |  ~ (sum(n0, tptp_minus_1, v0) = v1))
% 43.80/12.25  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (gt(v3, v2) = v1) |  ~ (gt(v3, v2) = v0))
% 43.80/12.25  | (17) gt(n4, n1) = 0
% 43.80/12.25  | (18)  ! [v0] :  ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 43.80/12.25  | (19) gt(n410, n5) = 0
% 43.80/12.25  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 43.80/12.25  | (21)  ! [v0] :  ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 43.80/12.25  | (22)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n4) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.80/12.25  | (23) succ(n0) = n1
% 43.80/12.25  | (24) gt(n4, n2) = 0
% 43.80/12.25  | (25)  ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n5) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.80/12.25  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) |  ? [v3] :  ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 43.80/12.25  | (27)  ! [v0] :  ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 43.80/12.25  | (28)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 43.80/12.25  | (29)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n2) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 43.80/12.25  | (30) gt(n3, n1) = 0
% 43.80/12.25  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 43.80/12.25  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (plus(v3, v2) = v1) |  ~ (plus(v3, v2) = v0))
% 43.80/12.25  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0))
% 43.80/12.25  | (34)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) |  ~ (a_select3(v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v11 = v6))))
% 43.80/12.25  | (35) gt(n3, n0) = 0
% 43.80/12.25  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 43.80/12.25  | (37)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n5) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.80/12.25  | (38) leq(n0, s_best7) = 0
% 43.80/12.25  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_const_array2(v4, v3, v2) = v1) |  ~ (tptp_const_array2(v4, v3, v2) = v0))
% 43.80/12.25  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (dim(v3, v2) = v1) |  ~ (dim(v3, v2) = v0))
% 43.80/12.25  | (41) succ(tptp_minus_1) = n0
% 43.80/12.25  | (42)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v0 | v3 = v1 |  ~ (tptp_update3(v4, v1, v2, v5) = v6) |  ~ (a_select3(v6, v3, v2) = v7) |  ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8))
% 43.80/12.25  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (a_select3(v4, v3, v2) = v1) |  ~ (a_select3(v4, v3, v2) = v0))
% 43.80/12.25  | (44) gt(n410, n4) = 0
% 43.80/12.25  | (45) gt(n4, n0) = 0
% 43.80/12.25  | (46)  ! [v0] : (v0 = n0 |  ~ (leq(n0, v0) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 43.80/12.25  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (tptp_update2(v0, v1, v2) = v3) |  ~ (a_select2(v3, v1) = v4))
% 43.80/12.25  | (48)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v2) |  ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 43.80/12.25  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_const_array1(v3, v2) = v1) |  ~ (tptp_const_array1(v3, v2) = v0))
% 43.80/12.25  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (gt(v0, v2) = v3) |  ~ (gt(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 43.80/12.25  | (51) gt(n1, tptp_minus_1) = 0
% 43.80/12.25  | (52)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pred(v2) = v1) |  ~ (pred(v2) = v0))
% 43.80/12.25  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_madd(v3, v2) = v1) |  ~ (tptp_madd(v3, v2) = v0))
% 43.80/12.26  | (54)  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) |  ~ (tptp_mmul(v2, v5) = v6) |  ~ (trans(v2) = v4) |  ~ (a_select3(v6, v7, v8) = v9) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 &  ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) | v14 = v9))))
% 43.80/12.26  | (55) gt(n410, n3) = 0
% 43.80/12.26  | (56)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inv(v2) = v1) |  ~ (inv(v2) = v0))
% 43.80/12.26  | (57)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (trans(v1) = v2) |  ~ (a_select3(v2, v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) | v10 = v5))))
% 43.80/12.26  | (58)  ! [v0] : ( ~ (leq(v0, all_0_8_8) = 0) |  ? [v1] :  ? [v2] : (a_select2(s_try7_init, v0) = v2 & leq(n0, v0) = v1 & ( ~ (v1 = 0) | v2 = init)))
% 43.80/12.26  | (59) gt(n410, n2) = 0
% 43.80/12.26  | (60) succ(n4) = n5
% 43.80/12.26  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_msub(v3, v2) = v1) |  ~ (tptp_msub(v3, v2) = v0))
% 43.80/12.26  | (62) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_7_7 = 0 & ( ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init)))
% 43.80/12.26  | (63) gt(n5, n0) = 0
% 43.80/12.26  | (64)  ! [v0] :  ! [v1] : ( ~ (plus(n5, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (succ(v5) = v1 & succ(v4) = v5 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.80/12.26  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 43.80/12.26  | (66) gt(n4, tptp_minus_1) = 0
% 43.80/12.26  | (67) gt(n5, n1) = 0
% 43.80/12.26  | (68)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (a_select2(v3, v2) = v1) |  ~ (a_select2(v3, v2) = v0))
% 43.80/12.26  | (69) gt(n1, n0) = 0
% 43.80/12.26  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_update2(v4, v3, v2) = v1) |  ~ (tptp_update2(v4, v3, v2) = v0))
% 43.80/12.26  | (71) leq(n0, s_worst7) = 0
% 43.80/12.26  | (72)  ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n3) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.80/12.26  | (73)  ! [v0] :  ! [v1] : ( ~ (plus(n2, v0) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 43.80/12.26  | (74) gt(n3, tptp_minus_1) = 0
% 43.80/12.26  | (75) gt(n3, n2) = 0
% 43.80/12.26  | (76)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) |  ~ (a_select3(v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v11 = v6))))
% 43.80/12.26  | (77) minus(n3, n1) = all_0_8_8
% 43.80/12.26  | (78) succ(n2) = n3
% 43.80/12.26  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (uniform_int_rnd(v1, v0) = v2) |  ~ (leq(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 43.80/12.27  | (80)  ! [v0] :  ! [v1] : (v1 = init |  ~ (a_select2(s_values7_init, v0) = v1) |  ? [v2] :  ? [v3] : (leq(v0, n3) = v3 & leq(n0, v0) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0))))
% 43.80/12.27  | (81) gt(n0, tptp_minus_1) = 0
% 43.80/12.27  | (82) succ(n3) = n4
% 43.80/12.27  | (83)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 43.80/12.27  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v6 |  ~ (tptp_const_array2(v7, v8, v6) = v9) |  ~ (a_select3(v9, v0, v3) = v10) |  ~ (dim(v4, v5) = v8) |  ~ (dim(v1, v2) = v7) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) |  ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0))))
% 43.80/12.27  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0))
% 43.80/12.27  | (86) gt(n2, n1) = 0
% 43.80/12.27  | (87)  ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n4) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.80/12.27  | (88) gt(n2, n0) = 0
% 43.80/12.27  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (tptp_update3(v4, v2, v3, v5) = v6) |  ~ (a_select3(v6, v0, v1) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 &  ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0)))))
% 43.80/12.27  | (90)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n3) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 43.80/12.27  | (91) true
% 43.80/12.27  | (92)  ! [v0] :  ! [v1] : ( ~ (plus(n3, v0) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 43.80/12.27  | (93) leq(n0, pv19) = 0
% 43.80/12.27  | (94) gt(n5, n4) = 0
% 43.80/12.27  | (95) s_sworst7_init = init
% 43.80/12.27  | (96) gt(n410, tptp_minus_1) = 0
% 43.80/12.27  | (97)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 43.80/12.27  | (98)  ! [v0] :  ! [v1] : (v1 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v0) = v1))
% 43.80/12.27  | (99) gt(n5, n2) = 0
% 43.80/12.27  | (100)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lt(v3, v2) = v1) |  ~ (lt(v3, v2) = v0))
% 43.80/12.27  | (101)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (minus(v0, v1) = v2) |  ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 43.80/12.27  | (102)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (trans(v2) = v1) |  ~ (trans(v2) = v0))
% 43.80/12.27  | (103) gt(n410, n1) = 0
% 43.80/12.27  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (tptp_update3(v5, v4, v3, v2) = v1) |  ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 43.80/12.27  | (105) gt(n2, tptp_minus_1) = 0
% 43.80/12.27  | (106) leq(s_sworst7, n3) = 0
% 43.80/12.27  | (107)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v3 |  ~ (dim(v1, v2) = v4) |  ~ (tptp_const_array1(v4, v3) = v5) |  ~ (a_select2(v5, v0) = v6) |  ? [v7] :  ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 43.80/12.27  | (108) leq(s_worst7, n3) = 0
% 43.80/12.27  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_mmul(v3, v2) = v1) |  ~ (tptp_mmul(v3, v2) = v0))
% 43.80/12.27  | (110)  ! [v0] : (v0 = n1 | v0 = n0 |  ~ (leq(v0, n1) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.80/12.27  | (111)  ~ (all_0_7_7 = 0) | (pvar1402_init = init & pvar1401_init = init & pvar1400_init = init)
% 43.80/12.27  | (112)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) |  ~ (tptp_mmul(v1, v4) = v5) |  ~ (trans(v1) = v3) |  ~ (a_select3(v5, v6, v7) = v8) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 &  ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) | v13 = v8))))
% 43.80/12.28  | (113)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (uniform_int_rnd(v3, v2) = v1) |  ~ (uniform_int_rnd(v3, v2) = v0))
% 43.80/12.28  | (114)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = init |  ~ (a_select3(simplex7_init, v1, v0) = v2) |  ~ (leq(v0, n2) = 0) |  ? [v3] :  ? [v4] : (( ~ (v3 = 0) & leq(n0, v0) = v3) | (leq(v1, n3) = v4 & leq(n0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))))
% 43.80/12.28  | (115)  ! [v0] :  ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 43.80/12.28  | (116)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (gt(v1, v0) = v2))
% 43.80/12.28  | (117)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 43.80/12.28  | (118)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (lt(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 43.80/12.28  | (119) leq(pv19, all_0_9_9) = 0
% 43.80/12.28  | (120) gt(loopcounter, n1) = all_0_7_7
% 43.80/12.28  | (121)  ! [v0] :  ! [v1] : ( ~ (plus(n4, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 43.80/12.28  | (122) succ(n1) = n2
% 43.80/12.28  | (123)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 43.80/12.28  | (124)  ! [v0] :  ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 43.80/12.28  | (125)  ~ (def = use)
% 43.80/12.28  | (126)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 43.80/12.28  | (127) gt(n4, n3) = 0
% 43.80/12.28  | (128)  ! [v0] :  ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 43.80/12.28  | (129) gt(n410, n0) = 0
% 43.80/12.28  | (130)  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) |  ~ (tptp_mmul(v7, v11) = v12) |  ~ (tptp_mmul(v6, v12) = v13) |  ~ (tptp_mmul(v5, v8) = v9) |  ~ (tptp_mmul(v4, v9) = v10) |  ~ (tptp_mmul(v3, v16) = v17) |  ~ (tptp_madd(v10, v13) = v14) |  ~ (tptp_madd(v2, v17) = v18) |  ~ (trans(v6) = v11) |  ~ (trans(v4) = v8) |  ~ (trans(v3) = v15) |  ~ (a_select3(v18, v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v26 = v21))))
% 43.80/12.28  | (131)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 43.80/12.28  | (132)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update2(v2, v1, v3) = v4) |  ~ (a_select2(v4, v0) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v8 = 0 & v7 = 0 &  ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0)))))
% 43.80/12.28  | (133)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (leq(v0, v0) = v1))
% 43.80/12.28  | (134)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 43.80/12.28  | (135)  ! [v0] :  ~ (gt(v0, v0) = 0)
% 43.80/12.28  | (136)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) |  ~ (a_select3(v6, v2, v3) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 &  ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) | v14 = v7))))
% 43.80/12.28  | (137)  ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n2) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 43.80/12.28  | (138)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update3(v0, v1, v2, v3) = v4) |  ~ (a_select3(v4, v1, v2) = v5))
% 43.80/12.28  | (139) leq(n0, s_sworst7) = 0
% 43.80/12.28  |
% 43.80/12.28  | Instantiating formula (18) with all_0_8_8, n3 and discharging atoms minus(n3, n1) = all_0_8_8, yields:
% 43.80/12.28  | (140) pred(n3) = all_0_8_8
% 43.80/12.28  |
% 43.80/12.28  | Instantiating formula (28) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 43.80/12.28  | (141) pred(n3) = n2
% 43.80/12.28  |
% 43.80/12.28  | Instantiating formula (52) with n3, n2, all_0_8_8 and discharging atoms pred(n3) = all_0_8_8, pred(n3) = n2, yields:
% 43.80/12.28  | (142) all_0_8_8 = n2
% 43.80/12.28  |
% 43.80/12.28  +-Applying beta-rule and splitting (111), into two cases.
% 43.80/12.28  |-Branch one:
% 43.80/12.28  | (143)  ~ (all_0_7_7 = 0)
% 43.80/12.28  |
% 43.80/12.28  	+-Applying beta-rule and splitting (62), into two cases.
% 43.80/12.28  	|-Branch one:
% 43.80/12.28  	| (144) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 43.80/12.29  	|
% 43.80/12.29  		+-Applying beta-rule and splitting (144), into two cases.
% 43.80/12.29  		|-Branch one:
% 43.80/12.29  		| (145) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 43.80/12.29  		|
% 43.80/12.29  			+-Applying beta-rule and splitting (145), into two cases.
% 43.80/12.29  			|-Branch one:
% 43.80/12.29  			| (146) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0)
% 43.80/12.29  			|
% 43.80/12.29  				+-Applying beta-rule and splitting (146), into two cases.
% 43.80/12.29  				|-Branch one:
% 43.80/12.29  				| (147) all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0
% 43.80/12.29  				|
% 43.80/12.29  					| Applying alpha-rule on (147) yields:
% 43.80/12.29  					| (148) all_0_5_5 = 0
% 43.80/12.29  					| (149)  ~ (all_0_0_0 = init)
% 43.80/12.29  					| (150) leq(all_0_6_6, n2) = 0
% 43.80/12.29  					| (151) all_0_4_4 = 0
% 43.80/12.29  					| (152) leq(n0, all_0_6_6) = 0
% 43.80/12.29  					| (153) all_0_2_2 = 0
% 43.80/12.29  					| (154) leq(n0, all_0_3_3) = 0
% 43.80/12.29  					| (155) all_0_1_1 = 0
% 43.80/12.29  					| (156) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 43.80/12.29  					| (157) leq(all_0_3_3, n3) = 0
% 43.80/12.29  					|
% 43.80/12.29  					| Instantiating formula (114) with all_0_0_0, all_0_3_3, all_0_6_6 and discharging atoms a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0, leq(all_0_6_6, n2) = 0, yields:
% 43.80/12.29  					| (158) all_0_0_0 = init |  ? [v0] :  ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))))
% 43.80/12.29  					|
% 43.80/12.29  					+-Applying beta-rule and splitting (158), into two cases.
% 43.80/12.29  					|-Branch one:
% 43.80/12.29  					| (159) all_0_0_0 = init
% 43.80/12.29  					|
% 43.80/12.29  						| Equations (159) can reduce 149 to:
% 43.80/12.29  						| (160) $false
% 43.80/12.29  						|
% 43.80/12.29  						|-The branch is then unsatisfiable
% 43.80/12.29  					|-Branch two:
% 43.80/12.29  					| (149)  ~ (all_0_0_0 = init)
% 43.80/12.29  					| (162)  ? [v0] :  ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))))
% 43.80/12.29  					|
% 43.80/12.29  						| Instantiating (162) with all_740_0_75, all_740_1_76 yields:
% 43.80/12.29  						| (163) ( ~ (all_740_1_76 = 0) & leq(n0, all_0_6_6) = all_740_1_76) | (leq(all_0_3_3, n3) = all_740_0_75 & leq(n0, all_0_3_3) = all_740_1_76 & ( ~ (all_740_0_75 = 0) |  ~ (all_740_1_76 = 0)))
% 43.80/12.29  						|
% 43.80/12.29  						+-Applying beta-rule and splitting (163), into two cases.
% 43.80/12.29  						|-Branch one:
% 43.80/12.29  						| (164)  ~ (all_740_1_76 = 0) & leq(n0, all_0_6_6) = all_740_1_76
% 43.80/12.29  						|
% 43.80/12.29  							| Applying alpha-rule on (164) yields:
% 43.80/12.29  							| (165)  ~ (all_740_1_76 = 0)
% 43.80/12.29  							| (166) leq(n0, all_0_6_6) = all_740_1_76
% 43.80/12.29  							|
% 43.80/12.29  							| Instantiating formula (33) with n0, all_0_6_6, all_740_1_76, 0 and discharging atoms leq(n0, all_0_6_6) = all_740_1_76, leq(n0, all_0_6_6) = 0, yields:
% 43.80/12.29  							| (167) all_740_1_76 = 0
% 43.80/12.29  							|
% 43.80/12.29  							| Equations (167) can reduce 165 to:
% 43.80/12.29  							| (160) $false
% 43.80/12.29  							|
% 43.80/12.29  							|-The branch is then unsatisfiable
% 43.80/12.29  						|-Branch two:
% 43.80/12.29  						| (169) leq(all_0_3_3, n3) = all_740_0_75 & leq(n0, all_0_3_3) = all_740_1_76 & ( ~ (all_740_0_75 = 0) |  ~ (all_740_1_76 = 0))
% 43.80/12.29  						|
% 43.80/12.29  							| Applying alpha-rule on (169) yields:
% 43.80/12.29  							| (170) leq(all_0_3_3, n3) = all_740_0_75
% 43.80/12.29  							| (171) leq(n0, all_0_3_3) = all_740_1_76
% 43.80/12.29  							| (172)  ~ (all_740_0_75 = 0) |  ~ (all_740_1_76 = 0)
% 43.80/12.29  							|
% 43.80/12.29  							| Instantiating formula (33) with all_0_3_3, n3, all_740_0_75, 0 and discharging atoms leq(all_0_3_3, n3) = all_740_0_75, leq(all_0_3_3, n3) = 0, yields:
% 43.80/12.29  							| (173) all_740_0_75 = 0
% 43.80/12.29  							|
% 43.80/12.29  							| Instantiating formula (33) with n0, all_0_3_3, all_740_1_76, 0 and discharging atoms leq(n0, all_0_3_3) = all_740_1_76, leq(n0, all_0_3_3) = 0, yields:
% 43.80/12.29  							| (167) all_740_1_76 = 0
% 43.80/12.29  							|
% 44.12/12.29  							+-Applying beta-rule and splitting (172), into two cases.
% 44.12/12.29  							|-Branch one:
% 44.12/12.29  							| (175)  ~ (all_740_0_75 = 0)
% 44.12/12.29  							|
% 44.12/12.29  								| Equations (173) can reduce 175 to:
% 44.12/12.29  								| (160) $false
% 44.12/12.29  								|
% 44.12/12.29  								|-The branch is then unsatisfiable
% 44.12/12.29  							|-Branch two:
% 44.12/12.29  							| (173) all_740_0_75 = 0
% 44.12/12.29  							| (165)  ~ (all_740_1_76 = 0)
% 44.12/12.29  							|
% 44.12/12.29  								| Equations (167) can reduce 165 to:
% 44.12/12.29  								| (160) $false
% 44.12/12.29  								|
% 44.12/12.29  								|-The branch is then unsatisfiable
% 44.12/12.29  				|-Branch two:
% 44.12/12.29  				| (180) all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.29  				|
% 44.12/12.29  					| Applying alpha-rule on (180) yields:
% 44.12/12.29  					| (148) all_0_5_5 = 0
% 44.12/12.29  					| (182) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 44.12/12.29  					| (151) all_0_4_4 = 0
% 44.12/12.29  					| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.29  					| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.29  					| (186)  ~ (all_0_3_3 = init)
% 44.12/12.29  					|
% 44.12/12.29  					| From (142) and (184) follows:
% 44.12/12.29  					| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.29  					|
% 44.12/12.29  					| Instantiating formula (58) with all_0_6_6 yields:
% 44.12/12.29  					| (188)  ~ (leq(all_0_6_6, all_0_8_8) = 0) |  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.30  					|
% 44.12/12.30  					+-Applying beta-rule and splitting (188), into two cases.
% 44.12/12.30  					|-Branch one:
% 44.12/12.30  					| (189)  ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 44.12/12.30  					|
% 44.12/12.30  						| From (142) and (189) follows:
% 44.12/12.30  						| (190)  ~ (leq(all_0_6_6, n2) = 0)
% 44.12/12.30  						|
% 44.12/12.30  						| Using (150) and (190) yields:
% 44.12/12.30  						| (191) $false
% 44.12/12.30  						|
% 44.12/12.30  						|-The branch is then unsatisfiable
% 44.12/12.30  					|-Branch two:
% 44.12/12.30  					| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.30  					| (193)  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.30  					|
% 44.12/12.30  						| Instantiating (193) with all_747_0_136, all_747_1_137 yields:
% 44.12/12.30  						| (194) a_select2(s_try7_init, all_0_6_6) = all_747_0_136 & leq(n0, all_0_6_6) = all_747_1_137 & ( ~ (all_747_1_137 = 0) | all_747_0_136 = init)
% 44.12/12.30  						|
% 44.12/12.30  						| Applying alpha-rule on (194) yields:
% 44.12/12.30  						| (195) a_select2(s_try7_init, all_0_6_6) = all_747_0_136
% 44.12/12.30  						| (196) leq(n0, all_0_6_6) = all_747_1_137
% 44.12/12.30  						| (197)  ~ (all_747_1_137 = 0) | all_747_0_136 = init
% 44.12/12.30  						|
% 44.12/12.30  						| Instantiating formula (68) with s_try7_init, all_0_6_6, all_747_0_136, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_747_0_136, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 44.12/12.30  						| (198) all_747_0_136 = all_0_3_3
% 44.12/12.30  						|
% 44.12/12.30  						| Instantiating formula (33) with n0, all_0_6_6, all_747_1_137, 0 and discharging atoms leq(n0, all_0_6_6) = all_747_1_137, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.30  						| (199) all_747_1_137 = 0
% 44.12/12.30  						|
% 44.12/12.30  						+-Applying beta-rule and splitting (197), into two cases.
% 44.12/12.30  						|-Branch one:
% 44.12/12.30  						| (200)  ~ (all_747_1_137 = 0)
% 44.12/12.30  						|
% 44.12/12.30  							| Equations (199) can reduce 200 to:
% 44.12/12.30  							| (160) $false
% 44.12/12.30  							|
% 44.12/12.30  							|-The branch is then unsatisfiable
% 44.12/12.30  						|-Branch two:
% 44.12/12.30  						| (199) all_747_1_137 = 0
% 44.12/12.30  						| (203) all_747_0_136 = init
% 44.12/12.30  						|
% 44.12/12.30  							| Combining equations (203,198) yields a new equation:
% 44.12/12.30  							| (204) all_0_3_3 = init
% 44.12/12.30  							|
% 44.12/12.30  							| Equations (204) can reduce 186 to:
% 44.12/12.30  							| (160) $false
% 44.12/12.30  							|
% 44.12/12.30  							|-The branch is then unsatisfiable
% 44.12/12.30  			|-Branch two:
% 44.12/12.30  			| (206) all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.30  			|
% 44.12/12.30  				| Applying alpha-rule on (206) yields:
% 44.12/12.30  				| (148) all_0_5_5 = 0
% 44.12/12.30  				| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.30  				| (151) all_0_4_4 = 0
% 44.12/12.30  				| (210) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 44.12/12.30  				| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.30  				| (186)  ~ (all_0_3_3 = init)
% 44.12/12.30  				|
% 44.12/12.30  				| Instantiating formula (11) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 44.12/12.30  				| (213) all_0_3_3 = init |  ? [v0] :  ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.30  				|
% 44.12/12.30  				| Instantiating formula (58) with all_0_6_6 yields:
% 44.12/12.30  				| (188)  ~ (leq(all_0_6_6, all_0_8_8) = 0) |  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.30  				|
% 44.12/12.30  				+-Applying beta-rule and splitting (213), into two cases.
% 44.12/12.30  				|-Branch one:
% 44.12/12.30  				| (204) all_0_3_3 = init
% 44.12/12.30  				|
% 44.12/12.30  					| Equations (204) can reduce 186 to:
% 44.12/12.30  					| (160) $false
% 44.12/12.30  					|
% 44.12/12.30  					|-The branch is then unsatisfiable
% 44.12/12.30  				|-Branch two:
% 44.12/12.30  				| (186)  ~ (all_0_3_3 = init)
% 44.12/12.30  				| (218)  ? [v0] :  ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.30  				|
% 44.12/12.30  					| Instantiating (218) with all_733_0_176, all_733_1_177 yields:
% 44.12/12.30  					| (219) leq(all_0_6_6, n2) = all_733_0_176 & leq(n0, all_0_6_6) = all_733_1_177 & ( ~ (all_733_0_176 = 0) |  ~ (all_733_1_177 = 0))
% 44.12/12.30  					|
% 44.12/12.30  					| Applying alpha-rule on (219) yields:
% 44.12/12.30  					| (220) leq(all_0_6_6, n2) = all_733_0_176
% 44.12/12.30  					| (221) leq(n0, all_0_6_6) = all_733_1_177
% 44.12/12.30  					| (222)  ~ (all_733_0_176 = 0) |  ~ (all_733_1_177 = 0)
% 44.12/12.30  					|
% 44.12/12.30  					+-Applying beta-rule and splitting (188), into two cases.
% 44.12/12.30  					|-Branch one:
% 44.12/12.30  					| (189)  ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 44.12/12.30  					|
% 44.12/12.30  						| From (142) and (189) follows:
% 44.12/12.30  						| (190)  ~ (leq(all_0_6_6, n2) = 0)
% 44.12/12.30  						|
% 44.12/12.30  						| Using (150) and (190) yields:
% 44.12/12.30  						| (191) $false
% 44.12/12.30  						|
% 44.12/12.30  						|-The branch is then unsatisfiable
% 44.12/12.30  					|-Branch two:
% 44.12/12.30  					| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.30  					| (193)  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.30  					|
% 44.12/12.30  						| Instantiating (193) with all_752_0_180, all_752_1_181 yields:
% 44.12/12.30  						| (228) a_select2(s_try7_init, all_0_6_6) = all_752_0_180 & leq(n0, all_0_6_6) = all_752_1_181 & ( ~ (all_752_1_181 = 0) | all_752_0_180 = init)
% 44.12/12.30  						|
% 44.12/12.30  						| Applying alpha-rule on (228) yields:
% 44.12/12.30  						| (229) a_select2(s_try7_init, all_0_6_6) = all_752_0_180
% 44.12/12.30  						| (230) leq(n0, all_0_6_6) = all_752_1_181
% 44.12/12.30  						| (231)  ~ (all_752_1_181 = 0) | all_752_0_180 = init
% 44.12/12.30  						|
% 44.12/12.30  						| From (142) and (184) follows:
% 44.12/12.30  						| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.30  						|
% 44.12/12.30  						| Instantiating formula (33) with all_0_6_6, n2, all_733_0_176, 0 and discharging atoms leq(all_0_6_6, n2) = all_733_0_176, leq(all_0_6_6, n2) = 0, yields:
% 44.12/12.30  						| (233) all_733_0_176 = 0
% 44.12/12.30  						|
% 44.12/12.30  						| Instantiating formula (33) with n0, all_0_6_6, all_752_1_181, 0 and discharging atoms leq(n0, all_0_6_6) = all_752_1_181, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.30  						| (234) all_752_1_181 = 0
% 44.12/12.30  						|
% 44.12/12.30  						| Instantiating formula (33) with n0, all_0_6_6, all_733_1_177, all_752_1_181 and discharging atoms leq(n0, all_0_6_6) = all_752_1_181, leq(n0, all_0_6_6) = all_733_1_177, yields:
% 44.12/12.30  						| (235) all_752_1_181 = all_733_1_177
% 44.12/12.30  						|
% 44.12/12.30  						| Combining equations (235,234) yields a new equation:
% 44.12/12.30  						| (236) all_733_1_177 = 0
% 44.12/12.30  						|
% 44.12/12.30  						| Simplifying 236 yields:
% 44.12/12.30  						| (237) all_733_1_177 = 0
% 44.12/12.30  						|
% 44.12/12.30  						+-Applying beta-rule and splitting (222), into two cases.
% 44.12/12.30  						|-Branch one:
% 44.12/12.30  						| (238)  ~ (all_733_0_176 = 0)
% 44.12/12.30  						|
% 44.12/12.30  							| Equations (233) can reduce 238 to:
% 44.12/12.30  							| (160) $false
% 44.12/12.30  							|
% 44.12/12.30  							|-The branch is then unsatisfiable
% 44.12/12.30  						|-Branch two:
% 44.12/12.30  						| (233) all_733_0_176 = 0
% 44.12/12.30  						| (241)  ~ (all_733_1_177 = 0)
% 44.12/12.30  						|
% 44.12/12.30  							| Equations (237) can reduce 241 to:
% 44.12/12.30  							| (160) $false
% 44.12/12.30  							|
% 44.12/12.30  							|-The branch is then unsatisfiable
% 44.12/12.30  		|-Branch two:
% 44.12/12.30  		| (243) all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.30  		|
% 44.12/12.30  			| Applying alpha-rule on (243) yields:
% 44.12/12.30  			| (148) all_0_5_5 = 0
% 44.12/12.30  			| (151) all_0_4_4 = 0
% 44.12/12.30  			| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.30  			| (247) leq(all_0_6_6, n3) = 0
% 44.12/12.30  			| (248) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 44.12/12.30  			| (186)  ~ (all_0_3_3 = init)
% 44.12/12.30  			|
% 44.12/12.30  			| Instantiating formula (80) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 44.12/12.30  			| (250) all_0_3_3 = init |  ? [v0] :  ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.30  			|
% 44.12/12.31  			+-Applying beta-rule and splitting (250), into two cases.
% 44.12/12.31  			|-Branch one:
% 44.12/12.31  			| (204) all_0_3_3 = init
% 44.12/12.31  			|
% 44.12/12.31  				| Equations (204) can reduce 186 to:
% 44.12/12.31  				| (160) $false
% 44.12/12.31  				|
% 44.12/12.31  				|-The branch is then unsatisfiable
% 44.12/12.31  			|-Branch two:
% 44.12/12.31  			| (186)  ~ (all_0_3_3 = init)
% 44.12/12.31  			| (254)  ? [v0] :  ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.31  			|
% 44.12/12.31  				| Instantiating (254) with all_881_0_246, all_881_1_247 yields:
% 44.12/12.31  				| (255) leq(all_0_6_6, n3) = all_881_0_246 & leq(n0, all_0_6_6) = all_881_1_247 & ( ~ (all_881_0_246 = 0) |  ~ (all_881_1_247 = 0))
% 44.12/12.31  				|
% 44.12/12.31  				| Applying alpha-rule on (255) yields:
% 44.12/12.31  				| (256) leq(all_0_6_6, n3) = all_881_0_246
% 44.12/12.31  				| (257) leq(n0, all_0_6_6) = all_881_1_247
% 44.12/12.31  				| (258)  ~ (all_881_0_246 = 0) |  ~ (all_881_1_247 = 0)
% 44.12/12.31  				|
% 44.12/12.31  				| Instantiating formula (33) with all_0_6_6, n3, all_881_0_246, 0 and discharging atoms leq(all_0_6_6, n3) = all_881_0_246, leq(all_0_6_6, n3) = 0, yields:
% 44.12/12.31  				| (259) all_881_0_246 = 0
% 44.12/12.31  				|
% 44.12/12.31  				| Instantiating formula (33) with n0, all_0_6_6, all_881_1_247, 0 and discharging atoms leq(n0, all_0_6_6) = all_881_1_247, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.31  				| (260) all_881_1_247 = 0
% 44.12/12.31  				|
% 44.12/12.31  				+-Applying beta-rule and splitting (258), into two cases.
% 44.12/12.31  				|-Branch one:
% 44.12/12.31  				| (261)  ~ (all_881_0_246 = 0)
% 44.12/12.31  				|
% 44.12/12.31  					| Equations (259) can reduce 261 to:
% 44.12/12.31  					| (160) $false
% 44.12/12.31  					|
% 44.12/12.31  					|-The branch is then unsatisfiable
% 44.12/12.31  				|-Branch two:
% 44.12/12.31  				| (259) all_881_0_246 = 0
% 44.12/12.31  				| (264)  ~ (all_881_1_247 = 0)
% 44.12/12.31  				|
% 44.12/12.31  					| Equations (260) can reduce 264 to:
% 44.12/12.31  					| (160) $false
% 44.12/12.31  					|
% 44.12/12.31  					|-The branch is then unsatisfiable
% 44.12/12.31  	|-Branch two:
% 44.12/12.31  	| (266) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init))
% 44.12/12.31  	|
% 44.12/12.31  		| Applying alpha-rule on (266) yields:
% 44.12/12.31  		| (267) all_0_7_7 = 0
% 44.12/12.31  		| (268)  ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init)
% 44.12/12.31  		|
% 44.12/12.31  		| Equations (267) can reduce 143 to:
% 44.12/12.31  		| (160) $false
% 44.12/12.31  		|
% 44.12/12.31  		|-The branch is then unsatisfiable
% 44.12/12.31  |-Branch two:
% 44.12/12.31  | (267) all_0_7_7 = 0
% 44.12/12.31  | (271) pvar1402_init = init & pvar1401_init = init & pvar1400_init = init
% 44.12/12.31  |
% 44.12/12.31  	| Applying alpha-rule on (271) yields:
% 44.12/12.31  	| (272) pvar1402_init = init
% 44.12/12.31  	| (273) pvar1401_init = init
% 44.12/12.31  	| (274) pvar1400_init = init
% 44.12/12.31  	|
% 44.12/12.31  	+-Applying beta-rule and splitting (62), into two cases.
% 44.12/12.31  	|-Branch one:
% 44.12/12.31  	| (144) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0)
% 44.12/12.31  	|
% 44.12/12.31  		+-Applying beta-rule and splitting (144), into two cases.
% 44.12/12.31  		|-Branch one:
% 44.12/12.31  		| (145) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0)
% 44.12/12.31  		|
% 44.12/12.31  			+-Applying beta-rule and splitting (145), into two cases.
% 44.12/12.31  			|-Branch one:
% 44.12/12.31  			| (146) (all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0) | (all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0)
% 44.12/12.31  			|
% 44.12/12.31  				+-Applying beta-rule and splitting (146), into two cases.
% 44.12/12.31  				|-Branch one:
% 44.12/12.31  				| (147) all_0_1_1 = 0 & all_0_2_2 = 0 & all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_0_0 = init) & a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0 & leq(all_0_3_3, n3) = 0 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_3_3) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.31  				|
% 44.12/12.31  					| Applying alpha-rule on (147) yields:
% 44.12/12.31  					| (148) all_0_5_5 = 0
% 44.12/12.31  					| (149)  ~ (all_0_0_0 = init)
% 44.12/12.31  					| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.31  					| (151) all_0_4_4 = 0
% 44.12/12.31  					| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.31  					| (153) all_0_2_2 = 0
% 44.12/12.31  					| (154) leq(n0, all_0_3_3) = 0
% 44.12/12.31  					| (155) all_0_1_1 = 0
% 44.12/12.31  					| (156) a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0
% 44.12/12.31  					| (157) leq(all_0_3_3, n3) = 0
% 44.12/12.31  					|
% 44.12/12.31  					| Instantiating formula (114) with all_0_0_0, all_0_3_3, all_0_6_6 and discharging atoms a_select3(simplex7_init, all_0_3_3, all_0_6_6) = all_0_0_0, leq(all_0_6_6, n2) = 0, yields:
% 44.12/12.31  					| (158) all_0_0_0 = init |  ? [v0] :  ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))))
% 44.12/12.31  					|
% 44.12/12.31  					| Instantiating formula (58) with all_0_6_6 yields:
% 44.12/12.31  					| (188)  ~ (leq(all_0_6_6, all_0_8_8) = 0) |  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.31  					|
% 44.12/12.31  					+-Applying beta-rule and splitting (158), into two cases.
% 44.12/12.31  					|-Branch one:
% 44.12/12.31  					| (159) all_0_0_0 = init
% 44.12/12.31  					|
% 44.12/12.31  						| Equations (159) can reduce 149 to:
% 44.12/12.31  						| (160) $false
% 44.12/12.31  						|
% 44.12/12.31  						|-The branch is then unsatisfiable
% 44.12/12.31  					|-Branch two:
% 44.12/12.31  					| (149)  ~ (all_0_0_0 = init)
% 44.12/12.31  					| (162)  ? [v0] :  ? [v1] : (( ~ (v0 = 0) & leq(n0, all_0_6_6) = v0) | (leq(all_0_3_3, n3) = v1 & leq(n0, all_0_3_3) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))))
% 44.12/12.31  					|
% 44.12/12.31  						| Instantiating (162) with all_652_0_257, all_652_1_258 yields:
% 44.12/12.31  						| (295) ( ~ (all_652_1_258 = 0) & leq(n0, all_0_6_6) = all_652_1_258) | (leq(all_0_3_3, n3) = all_652_0_257 & leq(n0, all_0_3_3) = all_652_1_258 & ( ~ (all_652_0_257 = 0) |  ~ (all_652_1_258 = 0)))
% 44.12/12.31  						|
% 44.12/12.31  						+-Applying beta-rule and splitting (295), into two cases.
% 44.12/12.31  						|-Branch one:
% 44.12/12.31  						| (296)  ~ (all_652_1_258 = 0) & leq(n0, all_0_6_6) = all_652_1_258
% 44.12/12.31  						|
% 44.12/12.31  							| Applying alpha-rule on (296) yields:
% 44.12/12.31  							| (297)  ~ (all_652_1_258 = 0)
% 44.12/12.31  							| (298) leq(n0, all_0_6_6) = all_652_1_258
% 44.12/12.31  							|
% 44.12/12.31  							+-Applying beta-rule and splitting (188), into two cases.
% 44.12/12.31  							|-Branch one:
% 44.12/12.31  							| (189)  ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 44.12/12.31  							|
% 44.12/12.31  								| From (142) and (189) follows:
% 44.12/12.31  								| (190)  ~ (leq(all_0_6_6, n2) = 0)
% 44.12/12.31  								|
% 44.12/12.31  								| Using (150) and (190) yields:
% 44.12/12.31  								| (191) $false
% 44.12/12.31  								|
% 44.12/12.31  								|-The branch is then unsatisfiable
% 44.12/12.31  							|-Branch two:
% 44.12/12.31  							| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.31  							| (193)  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.31  							|
% 44.12/12.31  								| Instantiating (193) with all_740_0_271, all_740_1_272 yields:
% 44.12/12.31  								| (304) a_select2(s_try7_init, all_0_6_6) = all_740_0_271 & leq(n0, all_0_6_6) = all_740_1_272 & ( ~ (all_740_1_272 = 0) | all_740_0_271 = init)
% 44.12/12.31  								|
% 44.12/12.31  								| Applying alpha-rule on (304) yields:
% 44.12/12.31  								| (305) a_select2(s_try7_init, all_0_6_6) = all_740_0_271
% 44.12/12.31  								| (306) leq(n0, all_0_6_6) = all_740_1_272
% 44.12/12.31  								| (307)  ~ (all_740_1_272 = 0) | all_740_0_271 = init
% 44.12/12.31  								|
% 44.12/12.31  								| Instantiating formula (33) with n0, all_0_6_6, all_740_1_272, 0 and discharging atoms leq(n0, all_0_6_6) = all_740_1_272, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.31  								| (308) all_740_1_272 = 0
% 44.12/12.31  								|
% 44.12/12.31  								| Instantiating formula (33) with n0, all_0_6_6, all_652_1_258, all_740_1_272 and discharging atoms leq(n0, all_0_6_6) = all_740_1_272, leq(n0, all_0_6_6) = all_652_1_258, yields:
% 44.12/12.31  								| (309) all_740_1_272 = all_652_1_258
% 44.12/12.31  								|
% 44.12/12.31  								| Combining equations (309,308) yields a new equation:
% 44.12/12.31  								| (310) all_652_1_258 = 0
% 44.12/12.31  								|
% 44.12/12.31  								| Simplifying 310 yields:
% 44.12/12.31  								| (311) all_652_1_258 = 0
% 44.12/12.31  								|
% 44.12/12.31  								| Equations (311) can reduce 297 to:
% 44.12/12.31  								| (160) $false
% 44.12/12.31  								|
% 44.12/12.31  								|-The branch is then unsatisfiable
% 44.12/12.31  						|-Branch two:
% 44.12/12.31  						| (313) leq(all_0_3_3, n3) = all_652_0_257 & leq(n0, all_0_3_3) = all_652_1_258 & ( ~ (all_652_0_257 = 0) |  ~ (all_652_1_258 = 0))
% 44.12/12.31  						|
% 44.12/12.31  							| Applying alpha-rule on (313) yields:
% 44.12/12.31  							| (314) leq(all_0_3_3, n3) = all_652_0_257
% 44.12/12.31  							| (315) leq(n0, all_0_3_3) = all_652_1_258
% 44.12/12.31  							| (316)  ~ (all_652_0_257 = 0) |  ~ (all_652_1_258 = 0)
% 44.12/12.31  							|
% 44.12/12.31  							| Instantiating formula (33) with all_0_3_3, n3, all_652_0_257, 0 and discharging atoms leq(all_0_3_3, n3) = all_652_0_257, leq(all_0_3_3, n3) = 0, yields:
% 44.12/12.31  							| (317) all_652_0_257 = 0
% 44.12/12.31  							|
% 44.12/12.31  							| Instantiating formula (33) with n0, all_0_3_3, all_652_1_258, 0 and discharging atoms leq(n0, all_0_3_3) = all_652_1_258, leq(n0, all_0_3_3) = 0, yields:
% 44.12/12.31  							| (311) all_652_1_258 = 0
% 44.12/12.31  							|
% 44.12/12.31  							+-Applying beta-rule and splitting (316), into two cases.
% 44.12/12.31  							|-Branch one:
% 44.12/12.31  							| (319)  ~ (all_652_0_257 = 0)
% 44.12/12.31  							|
% 44.12/12.31  								| Equations (317) can reduce 319 to:
% 44.12/12.31  								| (160) $false
% 44.12/12.31  								|
% 44.12/12.31  								|-The branch is then unsatisfiable
% 44.12/12.31  							|-Branch two:
% 44.12/12.31  							| (317) all_652_0_257 = 0
% 44.12/12.31  							| (297)  ~ (all_652_1_258 = 0)
% 44.12/12.31  							|
% 44.12/12.31  								| Equations (311) can reduce 297 to:
% 44.12/12.31  								| (160) $false
% 44.12/12.31  								|
% 44.12/12.31  								|-The branch is then unsatisfiable
% 44.12/12.31  				|-Branch two:
% 44.12/12.31  				| (180) all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_try7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, all_0_8_8) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.31  				|
% 44.12/12.31  					| Applying alpha-rule on (180) yields:
% 44.12/12.32  					| (148) all_0_5_5 = 0
% 44.12/12.32  					| (182) a_select2(s_try7_init, all_0_6_6) = all_0_3_3
% 44.12/12.32  					| (151) all_0_4_4 = 0
% 44.12/12.32  					| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.32  					| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.32  					| (186)  ~ (all_0_3_3 = init)
% 44.12/12.32  					|
% 44.12/12.32  					| From (142) and (184) follows:
% 44.12/12.32  					| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.32  					|
% 44.12/12.32  					| Instantiating formula (58) with all_0_6_6 yields:
% 44.12/12.32  					| (188)  ~ (leq(all_0_6_6, all_0_8_8) = 0) |  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.32  					|
% 44.12/12.32  					+-Applying beta-rule and splitting (188), into two cases.
% 44.12/12.32  					|-Branch one:
% 44.12/12.32  					| (189)  ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 44.12/12.32  					|
% 44.12/12.32  						| From (142) and (189) follows:
% 44.12/12.32  						| (190)  ~ (leq(all_0_6_6, n2) = 0)
% 44.12/12.32  						|
% 44.12/12.32  						| Using (150) and (190) yields:
% 44.12/12.32  						| (191) $false
% 44.12/12.32  						|
% 44.12/12.32  						|-The branch is then unsatisfiable
% 44.12/12.32  					|-Branch two:
% 44.12/12.32  					| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.32  					| (193)  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.32  					|
% 44.12/12.32  						| Instantiating (193) with all_823_0_330, all_823_1_331 yields:
% 44.12/12.32  						| (338) a_select2(s_try7_init, all_0_6_6) = all_823_0_330 & leq(n0, all_0_6_6) = all_823_1_331 & ( ~ (all_823_1_331 = 0) | all_823_0_330 = init)
% 44.12/12.32  						|
% 44.12/12.32  						| Applying alpha-rule on (338) yields:
% 44.12/12.32  						| (339) a_select2(s_try7_init, all_0_6_6) = all_823_0_330
% 44.12/12.32  						| (340) leq(n0, all_0_6_6) = all_823_1_331
% 44.12/12.32  						| (341)  ~ (all_823_1_331 = 0) | all_823_0_330 = init
% 44.12/12.32  						|
% 44.12/12.32  						| Instantiating formula (68) with s_try7_init, all_0_6_6, all_823_0_330, all_0_3_3 and discharging atoms a_select2(s_try7_init, all_0_6_6) = all_823_0_330, a_select2(s_try7_init, all_0_6_6) = all_0_3_3, yields:
% 44.12/12.32  						| (342) all_823_0_330 = all_0_3_3
% 44.12/12.32  						|
% 44.12/12.32  						| Instantiating formula (33) with n0, all_0_6_6, all_823_1_331, 0 and discharging atoms leq(n0, all_0_6_6) = all_823_1_331, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.32  						| (343) all_823_1_331 = 0
% 44.12/12.32  						|
% 44.12/12.32  						+-Applying beta-rule and splitting (341), into two cases.
% 44.12/12.32  						|-Branch one:
% 44.12/12.32  						| (344)  ~ (all_823_1_331 = 0)
% 44.12/12.32  						|
% 44.12/12.32  							| Equations (343) can reduce 344 to:
% 44.12/12.32  							| (160) $false
% 44.12/12.32  							|
% 44.12/12.32  							|-The branch is then unsatisfiable
% 44.12/12.32  						|-Branch two:
% 44.12/12.32  						| (343) all_823_1_331 = 0
% 44.12/12.32  						| (347) all_823_0_330 = init
% 44.12/12.32  						|
% 44.12/12.32  							| Combining equations (347,342) yields a new equation:
% 44.12/12.32  							| (204) all_0_3_3 = init
% 44.12/12.32  							|
% 44.12/12.32  							| Equations (204) can reduce 186 to:
% 44.12/12.32  							| (160) $false
% 44.12/12.32  							|
% 44.12/12.32  							|-The branch is then unsatisfiable
% 44.12/12.32  			|-Branch two:
% 44.12/12.32  			| (206) all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_center7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n2) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.32  			|
% 44.12/12.32  				| Applying alpha-rule on (206) yields:
% 44.12/12.32  				| (148) all_0_5_5 = 0
% 44.12/12.32  				| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.32  				| (151) all_0_4_4 = 0
% 44.12/12.32  				| (210) a_select2(s_center7_init, all_0_6_6) = all_0_3_3
% 44.12/12.32  				| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.32  				| (186)  ~ (all_0_3_3 = init)
% 44.12/12.32  				|
% 44.12/12.32  				| Instantiating formula (11) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_center7_init, all_0_6_6) = all_0_3_3, yields:
% 44.12/12.32  				| (213) all_0_3_3 = init |  ? [v0] :  ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.32  				|
% 44.12/12.32  				| Instantiating formula (58) with all_0_6_6 yields:
% 44.12/12.32  				| (188)  ~ (leq(all_0_6_6, all_0_8_8) = 0) |  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.32  				|
% 44.12/12.32  				+-Applying beta-rule and splitting (213), into two cases.
% 44.12/12.32  				|-Branch one:
% 44.12/12.32  				| (204) all_0_3_3 = init
% 44.12/12.32  				|
% 44.12/12.32  					| Equations (204) can reduce 186 to:
% 44.12/12.32  					| (160) $false
% 44.12/12.32  					|
% 44.12/12.32  					|-The branch is then unsatisfiable
% 44.12/12.32  				|-Branch two:
% 44.12/12.32  				| (186)  ~ (all_0_3_3 = init)
% 44.12/12.32  				| (218)  ? [v0] :  ? [v1] : (leq(all_0_6_6, n2) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.32  				|
% 44.12/12.32  					| Instantiating (218) with all_679_0_338, all_679_1_339 yields:
% 44.12/12.32  					| (363) leq(all_0_6_6, n2) = all_679_0_338 & leq(n0, all_0_6_6) = all_679_1_339 & ( ~ (all_679_0_338 = 0) |  ~ (all_679_1_339 = 0))
% 44.12/12.32  					|
% 44.12/12.32  					| Applying alpha-rule on (363) yields:
% 44.12/12.32  					| (364) leq(all_0_6_6, n2) = all_679_0_338
% 44.12/12.32  					| (365) leq(n0, all_0_6_6) = all_679_1_339
% 44.12/12.32  					| (366)  ~ (all_679_0_338 = 0) |  ~ (all_679_1_339 = 0)
% 44.12/12.32  					|
% 44.12/12.32  					+-Applying beta-rule and splitting (188), into two cases.
% 44.12/12.32  					|-Branch one:
% 44.12/12.32  					| (189)  ~ (leq(all_0_6_6, all_0_8_8) = 0)
% 44.12/12.32  					|
% 44.12/12.32  						| From (142) and (189) follows:
% 44.12/12.32  						| (190)  ~ (leq(all_0_6_6, n2) = 0)
% 44.12/12.32  						|
% 44.12/12.32  						| Using (150) and (190) yields:
% 44.12/12.32  						| (191) $false
% 44.12/12.32  						|
% 44.12/12.32  						|-The branch is then unsatisfiable
% 44.12/12.32  					|-Branch two:
% 44.12/12.32  					| (184) leq(all_0_6_6, all_0_8_8) = 0
% 44.12/12.32  					| (193)  ? [v0] :  ? [v1] : (a_select2(s_try7_init, all_0_6_6) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v0 = 0) | v1 = init))
% 44.12/12.32  					|
% 44.12/12.32  						| Instantiating (193) with all_685_0_340, all_685_1_341 yields:
% 44.12/12.32  						| (372) a_select2(s_try7_init, all_0_6_6) = all_685_0_340 & leq(n0, all_0_6_6) = all_685_1_341 & ( ~ (all_685_1_341 = 0) | all_685_0_340 = init)
% 44.12/12.32  						|
% 44.12/12.32  						| Applying alpha-rule on (372) yields:
% 44.12/12.32  						| (373) a_select2(s_try7_init, all_0_6_6) = all_685_0_340
% 44.12/12.32  						| (374) leq(n0, all_0_6_6) = all_685_1_341
% 44.12/12.32  						| (375)  ~ (all_685_1_341 = 0) | all_685_0_340 = init
% 44.12/12.32  						|
% 44.12/12.32  						| From (142) and (184) follows:
% 44.12/12.32  						| (150) leq(all_0_6_6, n2) = 0
% 44.12/12.32  						|
% 44.12/12.32  						| Instantiating formula (33) with all_0_6_6, n2, all_679_0_338, 0 and discharging atoms leq(all_0_6_6, n2) = all_679_0_338, leq(all_0_6_6, n2) = 0, yields:
% 44.12/12.32  						| (377) all_679_0_338 = 0
% 44.12/12.32  						|
% 44.12/12.32  						| Instantiating formula (33) with n0, all_0_6_6, all_685_1_341, 0 and discharging atoms leq(n0, all_0_6_6) = all_685_1_341, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.32  						| (378) all_685_1_341 = 0
% 44.12/12.32  						|
% 44.12/12.32  						| Instantiating formula (33) with n0, all_0_6_6, all_679_1_339, all_685_1_341 and discharging atoms leq(n0, all_0_6_6) = all_685_1_341, leq(n0, all_0_6_6) = all_679_1_339, yields:
% 44.12/12.32  						| (379) all_685_1_341 = all_679_1_339
% 44.12/12.32  						|
% 44.12/12.32  						| Combining equations (378,379) yields a new equation:
% 44.12/12.32  						| (380) all_679_1_339 = 0
% 44.12/12.32  						|
% 44.12/12.32  						+-Applying beta-rule and splitting (366), into two cases.
% 44.12/12.32  						|-Branch one:
% 44.12/12.32  						| (381)  ~ (all_679_0_338 = 0)
% 44.12/12.32  						|
% 44.12/12.32  							| Equations (377) can reduce 381 to:
% 44.12/12.32  							| (160) $false
% 44.12/12.32  							|
% 44.12/12.32  							|-The branch is then unsatisfiable
% 44.12/12.32  						|-Branch two:
% 44.12/12.32  						| (377) all_679_0_338 = 0
% 44.12/12.32  						| (384)  ~ (all_679_1_339 = 0)
% 44.12/12.32  						|
% 44.12/12.32  							| Equations (380) can reduce 384 to:
% 44.12/12.32  							| (160) $false
% 44.12/12.32  							|
% 44.12/12.32  							|-The branch is then unsatisfiable
% 44.12/12.32  		|-Branch two:
% 44.12/12.32  		| (243) all_0_4_4 = 0 & all_0_5_5 = 0 &  ~ (all_0_3_3 = init) & a_select2(s_values7_init, all_0_6_6) = all_0_3_3 & leq(all_0_6_6, n3) = 0 & leq(n0, all_0_6_6) = 0
% 44.12/12.32  		|
% 44.12/12.32  			| Applying alpha-rule on (243) yields:
% 44.12/12.32  			| (148) all_0_5_5 = 0
% 44.12/12.32  			| (151) all_0_4_4 = 0
% 44.12/12.32  			| (152) leq(n0, all_0_6_6) = 0
% 44.12/12.32  			| (247) leq(all_0_6_6, n3) = 0
% 44.12/12.32  			| (248) a_select2(s_values7_init, all_0_6_6) = all_0_3_3
% 44.12/12.32  			| (186)  ~ (all_0_3_3 = init)
% 44.12/12.32  			|
% 44.12/12.32  			| Instantiating formula (80) with all_0_3_3, all_0_6_6 and discharging atoms a_select2(s_values7_init, all_0_6_6) = all_0_3_3, yields:
% 44.12/12.32  			| (250) all_0_3_3 = init |  ? [v0] :  ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.32  			|
% 44.12/12.32  			+-Applying beta-rule and splitting (250), into two cases.
% 44.12/12.32  			|-Branch one:
% 44.12/12.32  			| (204) all_0_3_3 = init
% 44.12/12.32  			|
% 44.12/12.32  				| Equations (204) can reduce 186 to:
% 44.12/12.32  				| (160) $false
% 44.12/12.32  				|
% 44.12/12.32  				|-The branch is then unsatisfiable
% 44.12/12.32  			|-Branch two:
% 44.12/12.32  			| (186)  ~ (all_0_3_3 = init)
% 44.12/12.32  			| (254)  ? [v0] :  ? [v1] : (leq(all_0_6_6, n3) = v1 & leq(n0, all_0_6_6) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 44.12/12.32  			|
% 44.12/12.32  				| Instantiating (254) with all_648_0_371, all_648_1_372 yields:
% 44.12/12.32  				| (398) leq(all_0_6_6, n3) = all_648_0_371 & leq(n0, all_0_6_6) = all_648_1_372 & ( ~ (all_648_0_371 = 0) |  ~ (all_648_1_372 = 0))
% 44.12/12.32  				|
% 44.12/12.32  				| Applying alpha-rule on (398) yields:
% 44.12/12.32  				| (399) leq(all_0_6_6, n3) = all_648_0_371
% 44.12/12.32  				| (400) leq(n0, all_0_6_6) = all_648_1_372
% 44.12/12.32  				| (401)  ~ (all_648_0_371 = 0) |  ~ (all_648_1_372 = 0)
% 44.12/12.32  				|
% 44.12/12.32  				| Instantiating formula (33) with all_0_6_6, n3, all_648_0_371, 0 and discharging atoms leq(all_0_6_6, n3) = all_648_0_371, leq(all_0_6_6, n3) = 0, yields:
% 44.12/12.32  				| (402) all_648_0_371 = 0
% 44.12/12.32  				|
% 44.12/12.32  				| Instantiating formula (33) with n0, all_0_6_6, all_648_1_372, 0 and discharging atoms leq(n0, all_0_6_6) = all_648_1_372, leq(n0, all_0_6_6) = 0, yields:
% 44.12/12.32  				| (403) all_648_1_372 = 0
% 44.12/12.32  				|
% 44.12/12.32  				+-Applying beta-rule and splitting (401), into two cases.
% 44.12/12.32  				|-Branch one:
% 44.12/12.32  				| (404)  ~ (all_648_0_371 = 0)
% 44.12/12.32  				|
% 44.12/12.32  					| Equations (402) can reduce 404 to:
% 44.12/12.32  					| (160) $false
% 44.12/12.32  					|
% 44.12/12.32  					|-The branch is then unsatisfiable
% 44.12/12.32  				|-Branch two:
% 44.12/12.32  				| (402) all_648_0_371 = 0
% 44.12/12.32  				| (407)  ~ (all_648_1_372 = 0)
% 44.12/12.32  				|
% 44.12/12.32  					| Equations (403) can reduce 407 to:
% 44.12/12.32  					| (160) $false
% 44.12/12.32  					|
% 44.12/12.32  					|-The branch is then unsatisfiable
% 44.12/12.32  	|-Branch two:
% 44.12/12.32  	| (266) all_0_7_7 = 0 & ( ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init))
% 44.12/12.32  	|
% 44.12/12.32  		| Applying alpha-rule on (266) yields:
% 44.12/12.32  		| (267) all_0_7_7 = 0
% 44.12/12.32  		| (268)  ~ (pvar1402_init = init) |  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init)
% 44.12/12.33  		|
% 44.12/12.33  		+-Applying beta-rule and splitting (268), into two cases.
% 44.12/12.33  		|-Branch one:
% 44.12/12.33  		| (412)  ~ (pvar1402_init = init)
% 44.12/12.33  		|
% 44.12/12.33  			| Equations (272) can reduce 412 to:
% 44.12/12.33  			| (160) $false
% 44.12/12.33  			|
% 44.12/12.33  			|-The branch is then unsatisfiable
% 44.12/12.33  		|-Branch two:
% 44.12/12.33  		| (272) pvar1402_init = init
% 44.12/12.33  		| (415)  ~ (pvar1401_init = init) |  ~ (pvar1400_init = init)
% 44.12/12.33  		|
% 44.12/12.33  			+-Applying beta-rule and splitting (415), into two cases.
% 44.12/12.33  			|-Branch one:
% 44.12/12.33  			| (416)  ~ (pvar1401_init = init)
% 44.12/12.33  			|
% 44.12/12.33  				| Equations (273) can reduce 416 to:
% 44.12/12.33  				| (160) $false
% 44.12/12.33  				|
% 44.12/12.33  				|-The branch is then unsatisfiable
% 44.12/12.33  			|-Branch two:
% 44.12/12.33  			| (273) pvar1401_init = init
% 44.12/12.33  			| (419)  ~ (pvar1400_init = init)
% 44.12/12.33  			|
% 44.12/12.33  				| Equations (274) can reduce 419 to:
% 44.12/12.33  				| (160) $false
% 44.12/12.33  				|
% 44.12/12.33  				|-The branch is then unsatisfiable
% 44.12/12.33  % SZS output end Proof for theBenchmark
% 44.12/12.33  
% 44.12/12.33  11719ms
%------------------------------------------------------------------------------