%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n014.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 17:49:51 EDT 2022

% Result   : Theorem 24.05s 6.95s
% Output   : Proof 49.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV053+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 06:50:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.59/0.61          ____       _                          
% 0.59/0.61    ___  / __ \_____(_)___  ________  __________
% 0.59/0.61   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.61  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.59/0.61  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.59/0.61  
% 0.59/0.61  A Theorem Prover for First-Order Logic
% 0.59/0.61  (ePrincess v.1.0)
% 0.59/0.61  
% 0.59/0.61  (c) Philipp Rümmer, 2009-2015
% 0.59/0.61  (c) Peter Backeman, 2014-2015
% 0.59/0.61  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.61  Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.61  Bug reports to peter@backeman.se
% 0.59/0.61  
% 0.59/0.61  For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.61  
% 0.59/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.66  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.28/1.09  Prover 0: Preprocessing ...
% 4.14/1.62  Prover 0: Warning: ignoring some quantifiers
% 4.45/1.65  Prover 0: Constructing countermodel ...
% 19.75/5.95  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.49/6.10  Prover 1: Preprocessing ...
% 21.33/6.29  Prover 1: Warning: ignoring some quantifiers
% 21.47/6.30  Prover 1: Constructing countermodel ...
% 24.05/6.95  Prover 1: proved (997ms)
% 24.05/6.95  Prover 0: stopped
% 24.05/6.95  
% 24.05/6.95  No countermodel exists, formula is valid
% 24.05/6.95  % SZS status Theorem for theBenchmark
% 24.05/6.95  
% 24.05/6.95  Generating proof ... Warning: ignoring some quantifiers
% 48.22/14.93  found it (size 397)
% 48.22/14.93  
% 48.22/14.93  % SZS output start Proof for theBenchmark
% 48.22/14.93  Assumed formulas after preprocessing and simplification: 
% 48.22/14.93  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : ( ~ (def = use) & times(v7, v7) = v8 & sqrt(v8) = v9 & minus(v6, v3) = v7 & minus(n135300, n1) = v0 & minus(pv12, n1) = v2 & minus(pv10, n1) = v4 & minus(n5, n1) = v1 & minus(n0, n1) = v5 & sum(n0, v5, v9) = v10 & a_select3(center, pv71, n0) = v6 & a_select2(x, pv10) = v3 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv12, v1) = 0 & leq(pv10, v0) = 0 & leq(n0, pv12) = 0 & leq(n0, pv10) = 0 & gt(n135300, n5) = 0 & gt(n135300, n4) = 0 & gt(n135300, n3) = 0 & gt(n135300, n2) = 0 & gt(n135300, n1) = 0 & gt(n135300, tptp_minus_1) = 0 & gt(n135300, 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 &  ? [v26] :  ? [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] :  ! [v36] :  ! [v37] :  ! [v38] :  ! [v39] :  ! [v40] :  ! [v41] :  ! [v42] :  ! [v43] :  ! [v44] :  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (tptp_mmul(v40, v41) = v42) |  ~ (tptp_mmul(v33, v37) = v38) |  ~ (tptp_mmul(v32, v38) = v39) |  ~ (tptp_mmul(v31, v34) = v35) |  ~ (tptp_mmul(v30, v35) = v36) |  ~ (tptp_mmul(v29, v42) = v43) |  ~ (tptp_madd(v36, v39) = v40) |  ~ (tptp_madd(v28, v43) = v44) |  ~ (trans(v32) = v37) |  ~ (trans(v30) = v34) |  ~ (trans(v29) = v41) |  ~ (a_select3(v44, v45, v46) = v47) |  ? [v48] :  ? [v49] :  ? [v50] :  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] : ((v53 = 0 & v52 = 0 & v51 = 0 & v50 = 0 &  ~ (v55 = v54) & a_select3(v33, v49, v48) = v55 & a_select3(v33, v48, v49) = v54 & leq(v49, v26) = 0 & leq(v48, v26) = 0 & leq(n0, v49) = 0 & leq(n0, v48) = 0) | (v53 = 0 & v52 = 0 & v51 = 0 & v50 = 0 &  ~ (v55 = v54) & a_select3(v31, v49, v48) = v55 & a_select3(v31, v48, v49) = v54 & leq(v49, v27) = 0 & leq(v48, v27) = 0 & leq(n0, v49) = 0 & leq(n0, v48) = 0) | (v53 = 0 & v52 = 0 & v51 = 0 & v50 = 0 &  ~ (v55 = v54) & a_select3(v28, v49, v48) = v55 & a_select3(v28, v48, v49) = v54 & leq(v49, v26) = 0 & leq(v48, v26) = 0 & leq(n0, v49) = 0 & leq(n0, v48) = 0) | (a_select3(v44, v46, v45) = v52 & leq(v46, v26) = v51 & leq(v45, v26) = v49 & leq(n0, v46) = v50 & leq(n0, v45) = v48 & ( ~ (v51 = 0) |  ~ (v50 = 0) |  ~ (v49 = 0) |  ~ (v48 = 0) | v52 = v47)))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] :  ! [v36] :  ! [v37] : ( ~ (times(v33, v33) = v34) |  ~ (times(v29, v29) = v30) |  ~ (sqrt(v34) = v35) |  ~ (sqrt(v30) = v31) |  ~ (divide(v31, v36) = v37) |  ~ (minus(v32, v3) = v33) |  ~ (minus(v28, v3) = v29) |  ~ (sum(n0, v1, v35) = v36) |  ~ (a_select3(center, v27, n0) = v32) |  ~ (a_select3(center, v26, n0) = v28) |  ? [v38] :  ? [v39] :  ? [v40] : (a_select3(q, pv10, v26) = v40 & leq(v26, v2) = v39 & leq(n0, v26) = v38 & ( ~ (v39 = 0) |  ~ (v38 = 0) | v40 = v37))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] :  ! [v36] : (v36 = v32 |  ~ (tptp_const_array2(v33, v34, v32) = v35) |  ~ (a_select3(v35, v26, v29) = v36) |  ~ (dim(v30, v31) = v34) |  ~ (dim(v27, v28) = v33) |  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] : (leq(v30, v29) = v39 & leq(v29, v31) = v40 & leq(v27, v26) = v37 & leq(v26, v28) = v38 & ( ~ (v40 = 0) |  ~ (v39 = 0) |  ~ (v38 = 0) |  ~ (v37 = 0)))) &  ? [v26] :  ? [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] :  ! [v35] : ( ~ (tptp_mmul(v29, v30) = v31) |  ~ (tptp_mmul(v28, v31) = v32) |  ~ (trans(v28) = v30) |  ~ (a_select3(v32, v33, v34) = v35) |  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] :  ? [v42] :  ? [v43] : ((v41 = 0 & v40 = 0 & v39 = 0 & v38 = 0 &  ~ (v43 = v42) & a_select3(v29, v37, v36) = v43 & a_select3(v29, v36, v37) = v42 & leq(v37, v27) = 0 & leq(v36, v27) = 0 & leq(n0, v37) = 0 & leq(n0, v36) = 0) | (a_select3(v32, v34, v33) = v40 & leq(v34, v26) = v39 & leq(v33, v26) = v37 & leq(n0, v34) = v38 & leq(n0, v33) = v36 & ( ~ (v39 = 0) |  ~ (v38 = 0) |  ~ (v37 = 0) |  ~ (v36 = 0) | v40 = v35)))) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] :  ! [v34] : ( ~ (tptp_mmul(v28, v29) = v30) |  ~ (tptp_mmul(v27, v30) = v31) |  ~ (trans(v27) = v29) |  ~ (a_select3(v31, v32, v33) = v34) |  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] :  ? [v42] : ((v40 = 0 & v39 = 0 & v38 = 0 & v37 = 0 &  ~ (v42 = v41) & a_select3(v28, v36, v35) = v42 & a_select3(v28, v35, v36) = v41 & leq(v36, v26) = 0 & leq(v35, v26) = 0 & leq(n0, v36) = 0 & leq(n0, v35) = 0) | (a_select3(v31, v33, v32) = v39 & leq(v33, v26) = v38 & leq(v32, v26) = v36 & leq(n0, v33) = v37 & leq(n0, v32) = v35 & ( ~ (v38 = 0) |  ~ (v37 = 0) |  ~ (v36 = 0) |  ~ (v35 = 0) | v39 = v34)))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v33 = v31 |  ~ (tptp_update3(v30, v28, v29, v31) = v32) |  ~ (a_select3(v32, v26, v27) = v33) |  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] : ((v39 = 0 & v38 = 0 & v37 = 0 & v36 = 0 &  ~ (v40 = v31) & a_select3(v30, v34, v35) = v40 & leq(v35, v29) = 0 & leq(v34, v28) = 0 & leq(n0, v35) = 0 & leq(n0, v34) = 0) | (leq(v27, v29) = v37 & leq(v26, v28) = v35 & leq(n0, v27) = v36 & leq(n0, v26) = v34 & ( ~ (v37 = 0) |  ~ (v36 = 0) |  ~ (v35 = 0) |  ~ (v34 = 0))))) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : (v33 = v26 | v29 = v27 |  ~ (tptp_update3(v30, v27, v28, v31) = v32) |  ~ (a_select3(v32, v29, v28) = v33) |  ? [v34] : ( ~ (v34 = v26) & a_select3(v30, v29, v28) = v34)) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] :  ! [v33] : ( ~ (tptp_update3(v27, v30, v30, v31) = v32) |  ~ (a_select3(v32, v28, v29) = v33) |  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] : ((v39 = 0 & v38 = 0 & v37 = 0 & v36 = 0 &  ~ (v41 = v40) & a_select3(v27, v35, v34) = v41 & a_select3(v27, v34, v35) = v40 & leq(v35, v26) = 0 & leq(v34, v26) = 0 & leq(n0, v35) = 0 & leq(n0, v34) = 0) | (a_select3(v32, v29, v28) = v40 & leq(v30, v26) = v39 & leq(v29, v26) = v37 & leq(v28, v26) = v35 & leq(n0, v30) = v38 & leq(n0, v29) = v36 & leq(n0, v28) = v34 & ( ~ (v39 = 0) |  ~ (v38 = 0) |  ~ (v37 = 0) |  ~ (v36 = 0) |  ~ (v35 = 0) |  ~ (v34 = 0) | v40 = v33)))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : (v32 = v29 |  ~ (dim(v27, v28) = v30) |  ~ (tptp_const_array1(v30, v29) = v31) |  ~ (a_select2(v31, v26) = v32) |  ? [v33] :  ? [v34] : (leq(v27, v26) = v33 & leq(v26, v28) = v34 & ( ~ (v34 = 0) |  ~ (v33 = 0)))) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : (v32 = v26 | v28 = v27 |  ~ (tptp_update2(v29, v27, v30) = v31) |  ~ (a_select2(v31, v28) = v32) |  ? [v33] : ( ~ (v33 = v26) & a_select2(v29, v28) = v33)) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (tptp_msub(v27, v28) = v29) |  ~ (a_select3(v29, v30, v31) = v32) |  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] : ((v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 &  ~ (v40 = v39) & a_select3(v28, v34, v33) = v40 & a_select3(v28, v33, v34) = v39 & leq(v34, v26) = 0 & leq(v33, v26) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 &  ~ (v40 = v39) & a_select3(v27, v34, v33) = v40 & a_select3(v27, v33, v34) = v39 & leq(v34, v26) = 0 & leq(v33, v26) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (a_select3(v29, v31, v30) = v37 & leq(v31, v26) = v36 & leq(v30, v26) = v34 & leq(n0, v31) = v35 & leq(n0, v30) = v33 & ( ~ (v36 = 0) |  ~ (v35 = 0) |  ~ (v34 = 0) |  ~ (v33 = 0) | v37 = v32)))) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] :  ! [v32] : ( ~ (tptp_madd(v27, v28) = v29) |  ~ (a_select3(v29, v30, v31) = v32) |  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] : ((v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 &  ~ (v40 = v39) & a_select3(v28, v34, v33) = v40 & a_select3(v28, v33, v34) = v39 & leq(v34, v26) = 0 & leq(v33, v26) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (v38 = 0 & v37 = 0 & v36 = 0 & v35 = 0 &  ~ (v40 = v39) & a_select3(v27, v34, v33) = v40 & a_select3(v27, v33, v34) = v39 & leq(v34, v26) = 0 & leq(v33, v26) = 0 & leq(n0, v34) = 0 & leq(n0, v33) = 0) | (a_select3(v29, v31, v30) = v37 & leq(v31, v26) = v36 & leq(v30, v26) = v34 & leq(n0, v31) = v35 & leq(n0, v30) = v33 & ( ~ (v36 = 0) |  ~ (v35 = 0) |  ~ (v34 = 0) |  ~ (v33 = 0) | v37 = v32)))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] : (v31 = v29 |  ~ (tptp_update2(v28, v27, v29) = v30) |  ~ (a_select2(v30, v26) = v31) |  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] : ((v34 = 0 & v33 = 0 &  ~ (v35 = v29) & a_select2(v28, v32) = v35 & leq(v32, v27) = 0 & leq(n0, v32) = 0) | (leq(v26, v27) = v33 & leq(n0, v26) = v32 & ( ~ (v33 = 0) |  ~ (v32 = 0))))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] : (v31 = v29 |  ~ (tptp_update3(v26, v27, v28, v29) = v30) |  ~ (a_select3(v30, v27, v28) = v31)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] : (v27 = v26 |  ~ (tptp_update3(v31, v30, v29, v28) = v27) |  ~ (tptp_update3(v31, v30, v29, v28) = v26)) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (inv(v27) = v28) |  ~ (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(v27, v33, v32) = v39 & a_select3(v27, v32, v33) = v38 & leq(v33, v26) = 0 & leq(v32, v26) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v26) = v35 & leq(v29, v26) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) |  ~ (v34 = 0) |  ~ (v33 = 0) |  ~ (v32 = 0) | v36 = v31)))) &  ? [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] :  ! [v31] : ( ~ (trans(v27) = v28) |  ~ (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(v27, v33, v32) = v39 & a_select3(v27, v32, v33) = v38 & leq(v33, v26) = 0 & leq(v32, v26) = 0 & leq(n0, v33) = 0 & leq(n0, v32) = 0) | (a_select3(v28, v30, v29) = v36 & leq(v30, v26) = v35 & leq(v29, v26) = v33 & leq(n0, v30) = v34 & leq(n0, v29) = v32 & ( ~ (v35 = 0) |  ~ (v34 = 0) |  ~ (v33 = 0) |  ~ (v32 = 0) | v36 = v31)))) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] : (v30 = v28 |  ~ (tptp_update2(v26, v27, v28) = v29) |  ~ (a_select2(v29, v27) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] : (v30 = 0 |  ~ (succ(v27) = v29) |  ~ (succ(v26) = v28) |  ~ (leq(v28, v29) = v30) |  ? [v31] : ( ~ (v31 = 0) & leq(v26, v27) = v31)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] : (v27 = v26 |  ~ (tptp_update2(v30, v29, v28) = v27) |  ~ (tptp_update2(v30, v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] : (v27 = v26 |  ~ (sum(v30, v29, v28) = v27) |  ~ (sum(v30, v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] : (v27 = v26 |  ~ (tptp_const_array2(v30, v29, v28) = v27) |  ~ (tptp_const_array2(v30, v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] :  ! [v30] : (v27 = v26 |  ~ (a_select3(v30, v29, v28) = v27) |  ~ (a_select3(v30, v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (uniform_int_rnd(v27, v26) = v28) |  ~ (leq(v28, v26) = v29) |  ? [v30] : ( ~ (v30 = 0) & leq(n0, v26) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (succ(v27) = v28) |  ~ (leq(v26, v28) = v29) |  ? [v30] : ( ~ (v30 = 0) & leq(v26, v27) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (succ(v27) = v28) |  ~ (gt(v28, v26) = v29) |  ? [v30] : ( ~ (v30 = 0) & leq(v26, v27) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (pred(v27) = v28) |  ~ (leq(v26, v28) = v29) |  ? [v30] : ( ~ (v30 = 0) & gt(v27, v26) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (leq(v26, v28) = v29) |  ~ (leq(v26, v27) = 0) |  ? [v30] : ( ~ (v30 = 0) & leq(v27, v28) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v29 = 0 |  ~ (gt(v26, v28) = v29) |  ~ (gt(v26, v27) = 0) |  ? [v30] : ( ~ (v30 = 0) & gt(v27, v28) = v30)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (times(v29, v28) = v27) |  ~ (times(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (divide(v29, v28) = v27) |  ~ (divide(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (minus(v29, v28) = v27) |  ~ (minus(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (plus(v29, v28) = v27) |  ~ (plus(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (tptp_mmul(v29, v28) = v27) |  ~ (tptp_mmul(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (tptp_msub(v29, v28) = v27) |  ~ (tptp_msub(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (tptp_madd(v29, v28) = v27) |  ~ (tptp_madd(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (dim(v29, v28) = v27) |  ~ (dim(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (tptp_const_array1(v29, v28) = v27) |  ~ (tptp_const_array1(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (a_select2(v29, v28) = v27) |  ~ (a_select2(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (uniform_int_rnd(v29, v28) = v27) |  ~ (uniform_int_rnd(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (geq(v29, v28) = v27) |  ~ (geq(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (lt(v29, v28) = v27) |  ~ (lt(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (leq(v29, v28) = v27) |  ~ (leq(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : (v27 = v26 |  ~ (gt(v29, v28) = v27) |  ~ (gt(v29, v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] :  ! [v29] : ( ~ (succ(v27) = v29) |  ~ (succ(v26) = v28) |  ~ (leq(v28, v29) = 0) | leq(v26, v27) = 0) &  ! [v26] :  ! [v27] :  ! [v28] : (v28 = 0 | v27 = v26 |  ~ (gt(v27, v26) = v28) |  ? [v29] : ( ~ (v29 = 0) & leq(v26, v27) = v29)) &  ! [v26] :  ! [v27] :  ! [v28] : (v28 = 0 | v27 = v26 |  ~ (gt(v26, v27) = v28) | gt(v27, v26) = 0) &  ! [v26] :  ! [v27] :  ! [v28] : (v28 = 0 |  ~ (succ(v26) = v27) |  ~ (gt(v27, v26) = v28)) &  ! [v26] :  ! [v27] :  ! [v28] : (v28 = 0 |  ~ (geq(v26, v27) = v28) |  ? [v29] : ( ~ (v29 = 0) & leq(v27, v26) = v29)) &  ! [v26] :  ! [v27] :  ! [v28] : (v28 = 0 |  ~ (lt(v26, v27) = v28) |  ? [v29] : ( ~ (v29 = 0) & gt(v27, v26) = v29)) &  ! [v26] :  ! [v27] :  ! [v28] : (v27 = v26 |  ~ (sqrt(v28) = v27) |  ~ (sqrt(v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] : (v27 = v26 |  ~ (inv(v28) = v27) |  ~ (inv(v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] : (v27 = v26 |  ~ (trans(v28) = v27) |  ~ (trans(v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] : (v27 = v26 |  ~ (succ(v28) = v27) |  ~ (succ(v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] : (v27 = v26 |  ~ (pred(v28) = v27) |  ~ (pred(v28) = v26)) &  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (minus(v26, v27) = v28) |  ~ (leq(v28, v26) = 0) | leq(n0, v27) = 0) &  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (a_select3(q, v26, v27) = v28) |  ? [v29] :  ? [v30] :  ? [v31] : (sum(n0, v1, v28) = v31 & leq(v26, v4) = v30 & leq(n0, v26) = v29 & ( ~ (v30 = 0) |  ~ (v29 = 0) | v31 = n1))) &  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (uniform_int_rnd(v27, v26) = v28) |  ? [v29] :  ? [v30] : (leq(n0, v28) = v30 & leq(n0, v26) = v29 & ( ~ (v29 = 0) | v30 = 0))) &  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (succ(v27) = v28) |  ~ (gt(v28, v26) = 0) | leq(v26, v27) = 0) &  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (succ(v26) = v28) |  ~ (leq(v28, v27) = 0) | gt(v27, v26) = 0) &  ! [v26] :  ! [v27] :  ! [v28] : ( ~ (pred(v27) = v28) |  ~ (leq(v26, v28) = 0) | gt(v27, v26) = 0) &  ! [v26] :  ! [v27] : (v27 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v26) = v27)) &  ! [v26] :  ! [v27] : (v27 = n0 |  ~ (sum(n0, tptp_minus_1, v26) = v27)) &  ! [v26] :  ! [v27] : (v27 = 0 |  ~ (leq(v26, v26) = v27)) &  ! [v26] :  ! [v27] : ( ~ (minus(v26, n1) = v27) | pred(v26) = v27) &  ! [v26] :  ! [v27] : ( ~ (plus(v26, n5) = v27) |  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (succ(v31) = v27 & succ(v30) = v31 & succ(v29) = v30 & succ(v28) = v29 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(v26, n4) = v27) |  ? [v28] :  ? [v29] :  ? [v30] : (succ(v30) = v27 & succ(v29) = v30 & succ(v28) = v29 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(v26, n3) = v27) |  ? [v28] :  ? [v29] : (succ(v29) = v27 & succ(v28) = v29 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(v26, n2) = v27) |  ? [v28] : (succ(v28) = v27 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(v26, n1) = v27) | succ(v26) = v27) &  ! [v26] :  ! [v27] : ( ~ (plus(n5, v26) = v27) |  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] : (succ(v31) = v27 & succ(v30) = v31 & succ(v29) = v30 & succ(v28) = v29 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(n4, v26) = v27) |  ? [v28] :  ? [v29] :  ? [v30] : (succ(v30) = v27 & succ(v29) = v30 & succ(v28) = v29 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(n3, v26) = v27) |  ? [v28] :  ? [v29] : (succ(v29) = v27 & succ(v28) = v29 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(n2, v26) = v27) |  ? [v28] : (succ(v28) = v27 & succ(v26) = v28)) &  ! [v26] :  ! [v27] : ( ~ (plus(n1, v26) = v27) | succ(v26) = v27) &  ! [v26] :  ! [v27] : ( ~ (succ(v26) = v27) | pred(v27) = v26) &  ! [v26] :  ! [v27] : ( ~ (pred(v26) = v27) | succ(v27) = v26) &  ! [v26] :  ! [v27] : ( ~ (geq(v26, v27) = 0) | leq(v27, v26) = 0) &  ! [v26] :  ! [v27] : ( ~ (lt(v26, v27) = 0) | gt(v27, v26) = 0) &  ! [v26] :  ! [v27] : ( ~ (gt(v27, v26) = 0) | leq(v26, v27) = 0) &  ! [v26] : (v26 = n5 | v26 = n4 | v26 = n3 | v26 = n2 | v26 = n1 | v26 = n0 |  ~ (leq(v26, n5) = 0) |  ? [v27] : ( ~ (v27 = 0) & leq(n0, v26) = v27)) &  ! [v26] : (v26 = n4 | v26 = n3 | v26 = n2 | v26 = n1 | v26 = n0 |  ~ (leq(v26, n4) = 0) |  ? [v27] : ( ~ (v27 = 0) & leq(n0, v26) = v27)) &  ! [v26] : (v26 = n3 | v26 = n2 | v26 = n1 | v26 = n0 |  ~ (leq(v26, n3) = 0) |  ? [v27] : ( ~ (v27 = 0) & leq(n0, v26) = v27)) &  ! [v26] : (v26 = n2 | v26 = n1 | v26 = n0 |  ~ (leq(v26, n2) = 0) |  ? [v27] : ( ~ (v27 = 0) & leq(n0, v26) = v27)) &  ! [v26] : (v26 = n1 | v26 = n0 |  ~ (leq(v26, n1) = 0) |  ? [v27] : ( ~ (v27 = 0) & leq(n0, v26) = v27)) &  ! [v26] : (v26 = n0 |  ~ (leq(n0, v26) = 0) |  ? [v27] : ( ~ (v27 = 0) & leq(v26, n0) = v27)) &  ! [v26] :  ~ (gt(v26, v26) = 0) & ( ~ (v10 = n0) | (v14 = 0 & v13 = 0 &  ~ (v25 = v15) & times(v21, v21) = v22 & times(v17, v17) = v18 & sqrt(v22) = v23 & sqrt(v18) = v19 & divide(v19, v24) = v25 & minus(v20, v3) = v21 & minus(v16, v3) = v17 & sum(n0, v1, v23) = v24 & a_select3(center, v12, n0) = v20 & a_select3(center, v11, n0) = v16 & a_select3(q, pv10, v11) = v15 & leq(v11, v2) = 0 & leq(n0, v11) = 0) | (v14 = 0 & v13 = 0 &  ~ (v16 = n1) & sum(n0, v1, v15) = v16 & a_select3(q, v11, v12) = v15 & leq(v11, v4) = 0 & leq(n0, v11) = 0)))
% 48.71/15.03  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25 yields:
% 48.71/15.03  | (1)  ~ (def = use) & times(all_0_18_18, all_0_18_18) = all_0_17_17 & sqrt(all_0_17_17) = all_0_16_16 & minus(all_0_19_19, all_0_22_22) = all_0_18_18 & minus(n135300, n1) = all_0_25_25 & minus(pv12, n1) = all_0_23_23 & minus(pv10, n1) = all_0_21_21 & minus(n5, n1) = all_0_24_24 & minus(n0, n1) = all_0_20_20 & sum(n0, all_0_20_20, all_0_16_16) = all_0_15_15 & a_select3(center, pv71, n0) = all_0_19_19 & a_select2(x, pv10) = all_0_22_22 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & leq(pv12, all_0_24_24) = 0 & leq(pv10, all_0_25_25) = 0 & leq(n0, pv12) = 0 & leq(n0, pv10) = 0 & gt(n135300, n5) = 0 & gt(n135300, n4) = 0 & gt(n135300, n3) = 0 & gt(n135300, n2) = 0 & gt(n135300, n1) = 0 & gt(n135300, tptp_minus_1) = 0 & gt(n135300, 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] :  ! [v11] : ( ~ (times(v7, v7) = v8) |  ~ (times(v3, v3) = v4) |  ~ (sqrt(v8) = v9) |  ~ (sqrt(v4) = v5) |  ~ (divide(v5, v10) = v11) |  ~ (minus(v6, all_0_22_22) = v7) |  ~ (minus(v2, all_0_22_22) = v3) |  ~ (sum(n0, all_0_24_24, v9) = v10) |  ~ (a_select3(center, v1, n0) = v6) |  ~ (a_select3(center, v0, n0) = v2) |  ? [v12] :  ? [v13] :  ? [v14] : (a_select3(q, pv10, v0) = v14 & leq(v0, all_0_23_23) = v13 & leq(n0, v0) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0) | v14 = v11))) &  ! [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 |  ~ (times(v3, v2) = v1) |  ~ (times(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (divide(v3, v2) = v1) |  ~ (divide(v3, v2) = v0)) &  ! [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 = 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 |  ~ (sqrt(v2) = v1) |  ~ (sqrt(v2) = v0)) &  ! [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] : ( ~ (a_select3(q, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (sum(n0, all_0_24_24, v2) = v5 & leq(v0, all_0_21_21) = v4 & leq(n0, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = n1))) &  ! [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 = 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] :  ~ (gt(v0, v0) = 0) & ( ~ (all_0_15_15 = n0) | (all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0) | (all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0))
% 48.74/15.06  |
% 48.74/15.06  | Applying alpha-rule on (1) yields:
% 48.74/15.06  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v2) |  ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 48.74/15.06  | (3) succ(tptp_minus_1) = n0
% 48.74/15.06  | (4) gt(n135300, n0) = 0
% 48.74/15.06  | (5) true
% 48.74/15.06  | (6)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 48.74/15.06  | (7)  ! [v0] :  ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 48.74/15.06  | (8)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (a_select3(q, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (sum(n0, all_0_24_24, v2) = v5 & leq(v0, all_0_21_21) = v4 & leq(n0, v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = n1)))
% 48.74/15.06  | (9)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inv(v2) = v1) |  ~ (inv(v2) = v0))
% 48.74/15.06  | (10)  ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n5) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 48.74/15.06  | (11)  ! [v0] :  ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 48.74/15.06  | (12) gt(n1, tptp_minus_1) = 0
% 48.74/15.06  | (13) gt(n135300, n5) = 0
% 48.74/15.06  | (14)  ! [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))))
% 48.74/15.06  | (15)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 48.74/15.06  | (16)  ? [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))))
% 48.74/15.06  | (17) minus(pv12, n1) = all_0_23_23
% 48.74/15.06  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_update2(v4, v3, v2) = v1) |  ~ (tptp_update2(v4, v3, v2) = v0))
% 48.74/15.06  | (19)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n3) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 48.74/15.06  | (20) gt(n0, tptp_minus_1) = 0
% 48.74/15.06  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 48.74/15.07  | (22) gt(n3, n1) = 0
% 48.74/15.07  | (23)  ! [v0] :  ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 48.74/15.07  | (24)  ? [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))))
% 48.74/15.07  | (25) gt(n4, tptp_minus_1) = 0
% 48.74/15.07  | (26)  ! [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))))
% 48.74/15.07  | (27) minus(n0, n1) = all_0_20_20
% 48.74/15.07  | (28)  ! [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)))))
% 48.74/15.07  | (29) leq(pv10, all_0_25_25) = 0
% 48.74/15.07  | (30)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (minus(v0, v1) = v2) |  ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 48.74/15.07  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update3(v0, v1, v2, v3) = v4) |  ~ (a_select3(v4, v1, v2) = v5))
% 48.74/15.07  | (32) leq(n0, pv10) = 0
% 48.74/15.07  | (33) gt(n5, n4) = 0
% 48.74/15.07  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (tptp_update3(v5, v4, v3, v2) = v1) |  ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 48.74/15.07  | (35)  ? [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))))
% 48.74/15.07  | (36)  ! [v0] :  ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 48.74/15.07  | (37)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 48.74/15.07  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (divide(v3, v2) = v1) |  ~ (divide(v3, v2) = v0))
% 48.74/15.07  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (times(v3, v2) = v1) |  ~ (times(v3, v2) = v0))
% 48.74/15.07  | (40) sqrt(all_0_17_17) = all_0_16_16
% 48.74/15.07  | (41) gt(n4, n0) = 0
% 48.74/15.07  | (42)  ? [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))))
% 48.74/15.07  | (43) a_select3(center, pv71, n0) = all_0_19_19
% 48.74/15.07  | (44) minus(n5, n1) = all_0_24_24
% 48.74/15.07  | (45) gt(n135300, n1) = 0
% 48.74/15.08  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (uniform_int_rnd(v3, v2) = v1) |  ~ (uniform_int_rnd(v3, v2) = v0))
% 48.74/15.08  | (47) gt(n4, n3) = 0
% 48.74/15.08  | (48)  ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n2) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 48.74/15.08  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (dim(v3, v2) = v1) |  ~ (dim(v3, v2) = v0))
% 48.74/15.08  | (50) succ(n3) = n4
% 48.74/15.08  | (51)  ! [v0] : (v0 = n1 | v0 = n0 |  ~ (leq(v0, n1) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 48.74/15.08  | (52) gt(n1, n0) = 0
% 48.74/15.08  | (53)  ! [v0] :  ! [v1] : ( ~ (plus(n4, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 48.74/15.08  | (54)  ~ (all_0_15_15 = n0) | (all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0) | (all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0)
% 48.74/15.08  | (55) minus(all_0_19_19, all_0_22_22) = all_0_18_18
% 48.74/15.08  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0))
% 48.74/15.08  | (57)  ! [v0] :  ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 48.74/15.08  | (58) gt(n135300, n4) = 0
% 48.74/15.08  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (a_select2(v3, v2) = v1) |  ~ (a_select2(v3, v2) = v0))
% 48.74/15.08  | (60) succ(n2) = n3
% 48.74/15.08  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 48.74/15.08  | (62)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (sqrt(v2) = v1) |  ~ (sqrt(v2) = v0))
% 48.74/15.08  | (63) gt(n4, n2) = 0
% 48.74/15.08  | (64)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (gt(v0, v2) = v3) |  ~ (gt(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 48.74/15.08  | (65)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 48.74/15.08  | (66) gt(n5, n3) = 0
% 48.74/15.08  | (67)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n2) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 48.74/15.08  | (68) gt(n135300, n3) = 0
% 48.74/15.08  | (69) gt(n3, n2) = 0
% 48.74/15.08  | (70)  ! [v0] : (v0 = n0 |  ~ (leq(n0, v0) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 48.74/15.08  | (71) succ(n0) = n1
% 48.74/15.08  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_msub(v3, v2) = v1) |  ~ (tptp_msub(v3, v2) = v0))
% 48.74/15.08  | (73)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (a_select3(v4, v3, v2) = v1) |  ~ (a_select3(v4, v3, v2) = v0))
% 48.74/15.08  | (74) gt(n2, tptp_minus_1) = 0
% 48.74/15.08  | (75)  ! [v0] :  ! [v1] : ( ~ (plus(n3, v0) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 48.74/15.08  | (76) gt(n4, n1) = 0
% 48.74/15.08  | (77)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 48.74/15.08  | (78) gt(n135300, n2) = 0
% 48.74/15.08  | (79) leq(pv12, all_0_24_24) = 0
% 48.74/15.08  | (80) sum(n0, all_0_20_20, all_0_16_16) = all_0_15_15
% 48.74/15.08  | (81)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (uniform_int_rnd(v1, v0) = v2) |  ~ (leq(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 48.74/15.08  | (82)  ? [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))))
% 48.74/15.08  | (83)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (times(v7, v7) = v8) |  ~ (times(v3, v3) = v4) |  ~ (sqrt(v8) = v9) |  ~ (sqrt(v4) = v5) |  ~ (divide(v5, v10) = v11) |  ~ (minus(v6, all_0_22_22) = v7) |  ~ (minus(v2, all_0_22_22) = v3) |  ~ (sum(n0, all_0_24_24, v9) = v10) |  ~ (a_select3(center, v1, n0) = v6) |  ~ (a_select3(center, v0, n0) = v2) |  ? [v12] :  ? [v13] :  ? [v14] : (a_select3(q, pv10, v0) = v14 & leq(v0, all_0_23_23) = v13 & leq(n0, v0) = v12 & ( ~ (v13 = 0) |  ~ (v12 = 0) | v14 = v11)))
% 48.74/15.09  | (84)  ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n3) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 48.74/15.09  | (85) succ(n1) = n2
% 48.74/15.09  | (86)  ! [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)))))
% 48.74/15.09  | (87)  ! [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))
% 48.74/15.09  | (88) times(all_0_18_18, all_0_18_18) = all_0_17_17
% 48.74/15.09  | (89) minus(pv10, n1) = all_0_21_21
% 48.74/15.09  | (90)  ! [v0] :  ! [v1] : ( ~ (plus(n2, v0) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 48.74/15.09  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_madd(v3, v2) = v1) |  ~ (tptp_madd(v3, v2) = v0))
% 48.74/15.09  | (92)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (leq(v0, v0) = v1))
% 48.74/15.09  | (93)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) |  ? [v3] :  ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 48.74/15.09  | (94)  ! [v0] :  ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 48.74/15.09  | (95)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_mmul(v3, v2) = v1) |  ~ (tptp_mmul(v3, v2) = v0))
% 48.74/15.09  | (96)  ! [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))
% 48.74/15.09  | (97)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (trans(v2) = v1) |  ~ (trans(v2) = v0))
% 48.74/15.09  | (98)  ? [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))))
% 48.74/15.09  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (tptp_update2(v0, v1, v2) = v3) |  ~ (a_select2(v3, v1) = v4))
% 48.74/15.09  | (100) gt(n5, tptp_minus_1) = 0
% 48.74/15.09  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_const_array2(v4, v3, v2) = v1) |  ~ (tptp_const_array2(v4, v3, v2) = v0))
% 48.74/15.09  | (102) succ(n4) = n5
% 48.74/15.09  | (103) gt(n2, n0) = 0
% 48.74/15.09  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 48.74/15.09  | (105) leq(n0, pv12) = 0
% 48.74/15.09  | (106)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (plus(v3, v2) = v1) |  ~ (plus(v3, v2) = v0))
% 48.74/15.09  | (107) gt(n5, n2) = 0
% 48.74/15.09  | (108) gt(n2, n1) = 0
% 48.74/15.09  | (109)  ! [v0] :  ! [v1] : (v1 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v0) = v1))
% 48.74/15.09  | (110)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (sum(v4, v3, v2) = v1) |  ~ (sum(v4, v3, v2) = v0))
% 48.74/15.09  | (111) gt(n3, n0) = 0
% 48.74/15.09  | (112) minus(n135300, n1) = all_0_25_25
% 48.74/15.09  | (113) gt(n5, n0) = 0
% 48.74/15.09  | (114)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (lt(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 48.74/15.09  | (115)  ? [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))
% 48.74/15.09  | (116)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_const_array1(v3, v2) = v1) |  ~ (tptp_const_array1(v3, v2) = v0))
% 48.74/15.09  | (117)  ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n4) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 48.74/15.09  | (118)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lt(v3, v2) = v1) |  ~ (lt(v3, v2) = v0))
% 48.74/15.09  | (119)  ? [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))))
% 48.74/15.10  | (120)  ! [v0] :  ! [v1] : (v1 = n0 |  ~ (sum(n0, tptp_minus_1, v0) = v1))
% 48.74/15.10  | (121) gt(n5, n1) = 0
% 48.74/15.10  | (122)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 48.74/15.10  | (123) a_select2(x, pv10) = all_0_22_22
% 48.74/15.10  | (124)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (gt(v1, v0) = v2))
% 48.74/15.10  | (125)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 48.74/15.10  | (126)  ~ (def = use)
% 48.74/15.10  | (127)  ! [v0] :  ~ (gt(v0, v0) = 0)
% 48.74/15.10  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 48.74/15.10  | (129)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (gt(v3, v2) = v1) |  ~ (gt(v3, v2) = v0))
% 48.74/15.10  | (130)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 48.74/15.10  | (131) gt(n135300, tptp_minus_1) = 0
% 48.74/15.10  | (132)  ? [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))))
% 48.74/15.10  | (133)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n4) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 48.74/15.10  | (134)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0))
% 48.74/15.10  | (135)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0))
% 48.74/15.10  | (136)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pred(v2) = v1) |  ~ (pred(v2) = v0))
% 48.74/15.10  | (137)  ? [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))
% 48.74/15.10  | (138)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 48.74/15.10  | (139) gt(n3, tptp_minus_1) = 0
% 48.74/15.10  | (140)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 48.74/15.10  |
% 48.74/15.10  | Instantiating formula (56) with n0, n1, all_0_20_20, all_0_23_23 and discharging atoms minus(n0, n1) = all_0_20_20, yields:
% 49.10/15.10  | (141) all_0_20_20 = all_0_23_23 |  ~ (minus(n0, n1) = all_0_23_23)
% 49.10/15.10  |
% 49.10/15.10  | Instantiating formula (120) with all_0_15_15, all_0_16_16 yields:
% 49.10/15.10  | (142) all_0_15_15 = n0 |  ~ (sum(n0, tptp_minus_1, all_0_16_16) = all_0_15_15)
% 49.10/15.10  |
% 49.10/15.11  | Instantiating formula (127) with n4 yields:
% 49.10/15.11  | (143)  ~ (gt(n4, n4) = 0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (127) with n1 yields:
% 49.10/15.11  | (144)  ~ (gt(n1, n1) = 0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (127) with tptp_minus_1 yields:
% 49.10/15.11  | (145)  ~ (gt(tptp_minus_1, tptp_minus_1) = 0)
% 49.10/15.11  |
% 49.10/15.11  | Using (41) and (143) yields:
% 49.10/15.11  | (146)  ~ (n4 = n0)
% 49.10/15.11  |
% 49.10/15.11  | Using (12) and (144) yields:
% 49.10/15.11  | (147)  ~ (n1 = tptp_minus_1)
% 49.10/15.11  |
% 49.10/15.11  | Using (20) and (145) yields:
% 49.10/15.11  | (148)  ~ (tptp_minus_1 = n0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (57) with all_0_23_23, pv12 and discharging atoms minus(pv12, n1) = all_0_23_23, yields:
% 49.10/15.11  | (149) pred(pv12) = all_0_23_23
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (57) with all_0_24_24, n5 and discharging atoms minus(n5, n1) = all_0_24_24, yields:
% 49.10/15.11  | (150) pred(n5) = all_0_24_24
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (57) with all_0_20_20, n0 and discharging atoms minus(n0, n1) = all_0_20_20, yields:
% 49.10/15.11  | (151) pred(n0) = all_0_20_20
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (37) with n5, n4 and discharging atoms succ(n4) = n5, yields:
% 49.10/15.11  | (152) pred(n5) = n4
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (37) with n4, n3 and discharging atoms succ(n3) = n4, yields:
% 49.10/15.11  | (153) pred(n4) = n3
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (37) with n3, n2 and discharging atoms succ(n2) = n3, yields:
% 49.10/15.11  | (154) pred(n3) = n2
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (37) with n2, n1 and discharging atoms succ(n1) = n2, yields:
% 49.10/15.11  | (155) pred(n2) = n1
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (37) with n0, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 49.10/15.11  | (156) pred(n0) = tptp_minus_1
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (37) with n1, n0 and discharging atoms succ(n0) = n1, yields:
% 49.10/15.11  | (157) pred(n1) = n0
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (2) with n5, all_0_24_24, n4 and discharging atoms succ(n4) = n5, yields:
% 49.10/15.11  | (158)  ~ (leq(n5, all_0_24_24) = 0) | gt(all_0_24_24, n4) = 0
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (10) with pv12 yields:
% 49.10/15.11  | (159) pv12 = n5 | pv12 = n4 | pv12 = n3 | pv12 = n2 | pv12 = n1 | pv12 = n0 |  ~ (leq(pv12, n5) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (48) with pv12 yields:
% 49.10/15.11  | (160) pv12 = n2 | pv12 = n1 | pv12 = n0 |  ~ (leq(pv12, n2) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (70) with all_0_24_24 yields:
% 49.10/15.11  | (161) all_0_24_24 = n0 |  ~ (leq(n0, all_0_24_24) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_24_24, n0) = v0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (70) with pv12 and discharging atoms leq(n0, pv12) = 0, yields:
% 49.10/15.11  | (162) pv12 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(pv12, n0) = v0)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (23) with n135300, n0 and discharging atoms gt(n135300, n0) = 0, yields:
% 49.10/15.11  | (163) leq(n0, n135300) = 0
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (23) with n4, n0 and discharging atoms gt(n4, n0) = 0, yields:
% 49.10/15.11  | (164) leq(n0, n4) = 0
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (15) with n3, n2, n2 and discharging atoms succ(n2) = n3, gt(n3, n2) = 0, yields:
% 49.10/15.11  | (165) leq(n2, n2) = 0
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (23) with n1, tptp_minus_1 and discharging atoms gt(n1, tptp_minus_1) = 0, yields:
% 49.10/15.11  | (166) leq(tptp_minus_1, n1) = 0
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n5, n4, all_0_24_24 and discharging atoms pred(n5) = all_0_24_24, pred(n5) = n4, yields:
% 49.10/15.11  | (167) all_0_24_24 = n4
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n4, n3, all_0_23_23 and discharging atoms pred(n4) = n3, yields:
% 49.10/15.11  | (168) all_0_23_23 = n3 |  ~ (pred(n4) = all_0_23_23)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n3, n2, all_0_23_23 and discharging atoms pred(n3) = n2, yields:
% 49.10/15.11  | (169) all_0_23_23 = n2 |  ~ (pred(n3) = all_0_23_23)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n2, n1, all_0_23_23 and discharging atoms pred(n2) = n1, yields:
% 49.10/15.11  | (170) all_0_23_23 = n1 |  ~ (pred(n2) = all_0_23_23)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n1, n0, all_0_23_23 and discharging atoms pred(n1) = n0, yields:
% 49.10/15.11  | (171) all_0_23_23 = n0 |  ~ (pred(n1) = all_0_23_23)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n0, all_0_20_20, all_0_23_23 and discharging atoms pred(n0) = all_0_20_20, yields:
% 49.10/15.11  | (172) all_0_20_20 = all_0_23_23 |  ~ (pred(n0) = all_0_23_23)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n0, tptp_minus_1, all_0_23_23 and discharging atoms pred(n0) = tptp_minus_1, yields:
% 49.10/15.11  | (173) all_0_23_23 = tptp_minus_1 |  ~ (pred(n0) = all_0_23_23)
% 49.10/15.11  |
% 49.10/15.11  | Instantiating formula (136) with n0, tptp_minus_1, all_0_20_20 and discharging atoms pred(n0) = all_0_20_20, pred(n0) = tptp_minus_1, yields:
% 49.10/15.11  | (174) all_0_20_20 = tptp_minus_1
% 49.10/15.11  |
% 49.10/15.11  | From (174) and (80) follows:
% 49.10/15.12  | (175) sum(n0, tptp_minus_1, all_0_16_16) = all_0_15_15
% 49.10/15.12  |
% 49.10/15.12  | From (167) and (150) follows:
% 49.10/15.12  | (152) pred(n5) = n4
% 49.10/15.12  |
% 49.10/15.12  | From (167) and (79) follows:
% 49.10/15.12  | (177) leq(pv12, n4) = 0
% 49.10/15.12  |
% 49.10/15.12  +-Applying beta-rule and splitting (142), into two cases.
% 49.10/15.12  |-Branch one:
% 49.10/15.12  | (178)  ~ (sum(n0, tptp_minus_1, all_0_16_16) = all_0_15_15)
% 49.10/15.12  |
% 49.10/15.12  	| Using (175) and (178) yields:
% 49.10/15.12  	| (179) $false
% 49.10/15.12  	|
% 49.10/15.12  	|-The branch is then unsatisfiable
% 49.10/15.12  |-Branch two:
% 49.10/15.12  | (175) sum(n0, tptp_minus_1, all_0_16_16) = all_0_15_15
% 49.10/15.12  | (181) all_0_15_15 = n0
% 49.10/15.12  |
% 49.10/15.12  	+-Applying beta-rule and splitting (158), into two cases.
% 49.10/15.12  	|-Branch one:
% 49.10/15.12  	| (182)  ~ (leq(n5, all_0_24_24) = 0)
% 49.10/15.12  	|
% 49.10/15.12  		| From (167) and (182) follows:
% 49.10/15.12  		| (183)  ~ (leq(n5, n4) = 0)
% 49.10/15.12  		|
% 49.10/15.12  		+-Applying beta-rule and splitting (161), into two cases.
% 49.10/15.12  		|-Branch one:
% 49.10/15.12  		| (184)  ~ (leq(n0, all_0_24_24) = 0)
% 49.10/15.12  		|
% 49.10/15.12  			| From (167) and (184) follows:
% 49.10/15.12  			| (185)  ~ (leq(n0, n4) = 0)
% 49.10/15.12  			|
% 49.10/15.12  			| Using (164) and (185) yields:
% 49.10/15.12  			| (179) $false
% 49.10/15.12  			|
% 49.10/15.12  			|-The branch is then unsatisfiable
% 49.10/15.12  		|-Branch two:
% 49.10/15.12  		| (187) leq(n0, all_0_24_24) = 0
% 49.10/15.12  		| (188) all_0_24_24 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_24_24, n0) = v0)
% 49.10/15.12  		|
% 49.10/15.12  			+-Applying beta-rule and splitting (188), into two cases.
% 49.10/15.12  			|-Branch one:
% 49.10/15.12  			| (189) all_0_24_24 = n0
% 49.10/15.12  			|
% 49.10/15.12  				| Combining equations (167,189) yields a new equation:
% 49.10/15.12  				| (190) n4 = n0
% 49.10/15.12  				|
% 49.10/15.12  				| Simplifying 190 yields:
% 49.10/15.12  				| (191) n4 = n0
% 49.10/15.12  				|
% 49.10/15.12  				| Equations (191) can reduce 146 to:
% 49.10/15.12  				| (192) $false
% 49.10/15.12  				|
% 49.10/15.12  				|-The branch is then unsatisfiable
% 49.10/15.12  			|-Branch two:
% 49.10/15.12  			| (193)  ~ (all_0_24_24 = n0)
% 49.10/15.12  			| (194)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_24_24, n0) = v0)
% 49.10/15.12  			|
% 49.10/15.12  				| Instantiating (194) with all_60_0_38 yields:
% 49.10/15.12  				| (195)  ~ (all_60_0_38 = 0) & leq(all_0_24_24, n0) = all_60_0_38
% 49.10/15.12  				|
% 49.10/15.12  				| Applying alpha-rule on (195) yields:
% 49.10/15.12  				| (196)  ~ (all_60_0_38 = 0)
% 49.10/15.12  				| (197) leq(all_0_24_24, n0) = all_60_0_38
% 49.10/15.12  				|
% 49.10/15.12  				| From (167) and (197) follows:
% 49.10/15.12  				| (198) leq(n4, n0) = all_60_0_38
% 49.10/15.12  				|
% 49.10/15.12  				| Using (177) and (183) yields:
% 49.10/15.12  				| (199)  ~ (pv12 = n5)
% 49.10/15.12  				|
% 49.10/15.12  				| Instantiating formula (36) with all_0_23_23, pv12 and discharging atoms pred(pv12) = all_0_23_23, yields:
% 49.10/15.12  				| (200) succ(all_0_23_23) = pv12
% 49.10/15.12  				|
% 49.10/15.12  				| Instantiating formula (140) with n4, n5, pv12 and discharging atoms pred(n5) = n4, leq(pv12, n4) = 0, yields:
% 49.10/15.12  				| (201) gt(n5, pv12) = 0
% 49.10/15.12  				|
% 49.10/15.12  				| Instantiating formula (104) with all_60_0_38, n0, n4, tptp_minus_1, n3 and discharging atoms succ(n3) = n4, succ(tptp_minus_1) = n0, leq(n4, n0) = all_60_0_38, yields:
% 49.10/15.12  				| (202) all_60_0_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, tptp_minus_1) = v0)
% 49.10/15.12  				|
% 49.10/15.12  				| Instantiating formula (21) with all_60_0_38, n0, tptp_minus_1, n4 and discharging atoms succ(tptp_minus_1) = n0, leq(n4, n0) = all_60_0_38, yields:
% 49.10/15.12  				| (203) all_60_0_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, tptp_minus_1) = v0)
% 49.10/15.12  				|
% 49.10/15.12  				| Instantiating formula (51) with tptp_minus_1 and discharging atoms leq(tptp_minus_1, n1) = 0, yields:
% 49.10/15.12  				| (204) n1 = tptp_minus_1 | tptp_minus_1 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 49.10/15.12  				|
% 49.10/15.12  				+-Applying beta-rule and splitting (202), into two cases.
% 49.10/15.12  				|-Branch one:
% 49.10/15.12  				| (205) all_60_0_38 = 0
% 49.10/15.12  				|
% 49.10/15.12  					| Equations (205) can reduce 196 to:
% 49.10/15.12  					| (192) $false
% 49.10/15.12  					|
% 49.10/15.12  					|-The branch is then unsatisfiable
% 49.10/15.12  				|-Branch two:
% 49.10/15.12  				| (196)  ~ (all_60_0_38 = 0)
% 49.10/15.12  				| (208)  ? [v0] : ( ~ (v0 = 0) & leq(n3, tptp_minus_1) = v0)
% 49.10/15.12  				|
% 49.10/15.12  					+-Applying beta-rule and splitting (203), into two cases.
% 49.10/15.12  					|-Branch one:
% 49.10/15.12  					| (205) all_60_0_38 = 0
% 49.10/15.12  					|
% 49.10/15.12  						| Equations (205) can reduce 196 to:
% 49.10/15.12  						| (192) $false
% 49.10/15.12  						|
% 49.10/15.12  						|-The branch is then unsatisfiable
% 49.10/15.12  					|-Branch two:
% 49.10/15.12  					| (196)  ~ (all_60_0_38 = 0)
% 49.10/15.12  					| (212)  ? [v0] : ( ~ (v0 = 0) & leq(n4, tptp_minus_1) = v0)
% 49.10/15.12  					|
% 49.10/15.12  						| Instantiating (212) with all_84_0_40 yields:
% 49.10/15.12  						| (213)  ~ (all_84_0_40 = 0) & leq(n4, tptp_minus_1) = all_84_0_40
% 49.10/15.12  						|
% 49.10/15.12  						| Applying alpha-rule on (213) yields:
% 49.10/15.12  						| (214)  ~ (all_84_0_40 = 0)
% 49.10/15.12  						| (215) leq(n4, tptp_minus_1) = all_84_0_40
% 49.10/15.12  						|
% 49.10/15.12  						+-Applying beta-rule and splitting (204), into two cases.
% 49.10/15.12  						|-Branch one:
% 49.10/15.12  						| (216) tptp_minus_1 = n0
% 49.10/15.12  						|
% 49.10/15.13  							| Equations (216) can reduce 148 to:
% 49.10/15.13  							| (192) $false
% 49.10/15.13  							|
% 49.10/15.13  							|-The branch is then unsatisfiable
% 49.10/15.13  						|-Branch two:
% 49.10/15.13  						| (148)  ~ (tptp_minus_1 = n0)
% 49.10/15.13  						| (219) n1 = tptp_minus_1 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 49.10/15.13  						|
% 49.10/15.13  							+-Applying beta-rule and splitting (219), into two cases.
% 49.10/15.13  							|-Branch one:
% 49.10/15.13  							| (220) n1 = tptp_minus_1
% 49.10/15.13  							|
% 49.10/15.13  								| Equations (220) can reduce 147 to:
% 49.10/15.13  								| (192) $false
% 49.10/15.13  								|
% 49.10/15.13  								|-The branch is then unsatisfiable
% 49.10/15.13  							|-Branch two:
% 49.10/15.13  							| (147)  ~ (n1 = tptp_minus_1)
% 49.10/15.13  							| (223)  ? [v0] : ( ~ (v0 = 0) & leq(n0, tptp_minus_1) = v0)
% 49.10/15.13  							|
% 49.10/15.13  								| Instantiating (223) with all_146_0_49 yields:
% 49.10/15.13  								| (224)  ~ (all_146_0_49 = 0) & leq(n0, tptp_minus_1) = all_146_0_49
% 49.10/15.13  								|
% 49.10/15.13  								| Applying alpha-rule on (224) yields:
% 49.10/15.13  								| (225)  ~ (all_146_0_49 = 0)
% 49.10/15.13  								| (226) leq(n0, tptp_minus_1) = all_146_0_49
% 49.10/15.13  								|
% 49.10/15.13  								| Instantiating formula (130) with tptp_minus_1, pv12, n0 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 49.10/15.13  								| (227) pv12 = n0 |  ~ (succ(tptp_minus_1) = pv12)
% 49.10/15.13  								|
% 49.10/15.13  								| Instantiating formula (77) with all_84_0_40, tptp_minus_1, pv12, n4 and discharging atoms leq(n4, tptp_minus_1) = all_84_0_40, yields:
% 49.10/15.13  								| (228) all_84_0_40 = 0 |  ~ (pred(pv12) = tptp_minus_1) |  ? [v0] : ( ~ (v0 = 0) & gt(pv12, n4) = v0)
% 49.10/15.13  								|
% 49.10/15.13  								| Instantiating formula (125) with all_146_0_49, tptp_minus_1, n135300, n0 and discharging atoms leq(n0, n135300) = 0, leq(n0, tptp_minus_1) = all_146_0_49, yields:
% 49.10/15.13  								| (229) all_146_0_49 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n135300, tptp_minus_1) = v0)
% 49.10/15.13  								|
% 49.10/15.13  								| Instantiating formula (125) with all_146_0_49, tptp_minus_1, pv12, n0 and discharging atoms leq(n0, pv12) = 0, leq(n0, tptp_minus_1) = all_146_0_49, yields:
% 49.10/15.13  								| (230) all_146_0_49 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(pv12, tptp_minus_1) = v0)
% 49.10/15.13  								|
% 49.10/15.13  								| Instantiating formula (23) with n5, pv12 and discharging atoms gt(n5, pv12) = 0, yields:
% 49.10/15.13  								| (231) leq(pv12, n5) = 0
% 49.10/15.13  								|
% 49.10/15.13  								+-Applying beta-rule and splitting (229), into two cases.
% 49.10/15.13  								|-Branch one:
% 49.10/15.13  								| (232) all_146_0_49 = 0
% 49.10/15.13  								|
% 49.10/15.13  									| Equations (232) can reduce 225 to:
% 49.10/15.13  									| (192) $false
% 49.10/15.13  									|
% 49.10/15.13  									|-The branch is then unsatisfiable
% 49.10/15.13  								|-Branch two:
% 49.10/15.13  								| (225)  ~ (all_146_0_49 = 0)
% 49.10/15.13  								| (235)  ? [v0] : ( ~ (v0 = 0) & leq(n135300, tptp_minus_1) = v0)
% 49.10/15.13  								|
% 49.10/15.13  									+-Applying beta-rule and splitting (230), into two cases.
% 49.10/15.13  									|-Branch one:
% 49.10/15.13  									| (232) all_146_0_49 = 0
% 49.10/15.13  									|
% 49.10/15.13  										| Equations (232) can reduce 225 to:
% 49.10/15.13  										| (192) $false
% 49.10/15.13  										|
% 49.10/15.13  										|-The branch is then unsatisfiable
% 49.10/15.13  									|-Branch two:
% 49.10/15.13  									| (225)  ~ (all_146_0_49 = 0)
% 49.10/15.13  									| (239)  ? [v0] : ( ~ (v0 = 0) & leq(pv12, tptp_minus_1) = v0)
% 49.10/15.13  									|
% 49.10/15.13  										| Instantiating (239) with all_190_0_51 yields:
% 49.10/15.13  										| (240)  ~ (all_190_0_51 = 0) & leq(pv12, tptp_minus_1) = all_190_0_51
% 49.10/15.13  										|
% 49.10/15.13  										| Applying alpha-rule on (240) yields:
% 49.10/15.13  										| (241)  ~ (all_190_0_51 = 0)
% 49.10/15.13  										| (242) leq(pv12, tptp_minus_1) = all_190_0_51
% 49.10/15.13  										|
% 49.10/15.13  										| Instantiating formula (134) with n0, tptp_minus_1, all_190_0_51, all_146_0_49 and discharging atoms leq(n0, tptp_minus_1) = all_146_0_49, yields:
% 49.10/15.13  										| (243) all_190_0_51 = all_146_0_49 |  ~ (leq(n0, tptp_minus_1) = all_190_0_51)
% 49.10/15.13  										|
% 49.10/15.13  										+-Applying beta-rule and splitting (54), into two cases.
% 49.10/15.13  										|-Branch one:
% 49.10/15.13  										| (244)  ~ (all_0_15_15 = n0)
% 49.10/15.13  										|
% 49.10/15.13  											| Equations (181) can reduce 244 to:
% 49.10/15.13  											| (192) $false
% 49.10/15.13  											|
% 49.10/15.13  											|-The branch is then unsatisfiable
% 49.10/15.13  										|-Branch two:
% 49.10/15.13  										| (181) all_0_15_15 = n0
% 49.10/15.13  										| (247) (all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0) | (all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0)
% 49.10/15.13  										|
% 49.10/15.13  											+-Applying beta-rule and splitting (141), into two cases.
% 49.10/15.13  											|-Branch one:
% 49.10/15.13  											| (248)  ~ (minus(n0, n1) = all_0_23_23)
% 49.10/15.13  											|
% 49.10/15.13  												| Using (17) and (248) yields:
% 49.10/15.13  												| (249)  ~ (pv12 = n0)
% 49.10/15.13  												|
% 49.10/15.13  												+-Applying beta-rule and splitting (162), into two cases.
% 49.10/15.13  												|-Branch one:
% 49.10/15.13  												| (250) pv12 = n0
% 49.10/15.13  												|
% 49.10/15.13  													| Equations (250) can reduce 249 to:
% 49.10/15.13  													| (192) $false
% 49.10/15.13  													|
% 49.10/15.13  													|-The branch is then unsatisfiable
% 49.10/15.13  												|-Branch two:
% 49.10/15.13  												| (249)  ~ (pv12 = n0)
% 49.10/15.13  												| (253)  ? [v0] : ( ~ (v0 = 0) & leq(pv12, n0) = v0)
% 49.10/15.13  												|
% 49.10/15.13  													+-Applying beta-rule and splitting (171), into two cases.
% 49.10/15.13  													|-Branch one:
% 49.10/15.13  													| (254)  ~ (pred(n1) = all_0_23_23)
% 49.10/15.13  													|
% 49.10/15.13  														| Using (149) and (254) yields:
% 49.10/15.13  														| (255)  ~ (pv12 = n1)
% 49.10/15.13  														|
% 49.10/15.13  														+-Applying beta-rule and splitting (160), into two cases.
% 49.10/15.13  														|-Branch one:
% 49.10/15.13  														| (256)  ~ (leq(pv12, n2) = 0)
% 49.10/15.13  														|
% 49.10/15.13  															| Using (165) and (256) yields:
% 49.10/15.13  															| (257)  ~ (pv12 = n2)
% 49.10/15.13  															|
% 49.10/15.13  															+-Applying beta-rule and splitting (169), into two cases.
% 49.10/15.13  															|-Branch one:
% 49.10/15.13  															| (258)  ~ (pred(n3) = all_0_23_23)
% 49.10/15.13  															|
% 49.10/15.13  																| Using (149) and (258) yields:
% 49.10/15.13  																| (259)  ~ (pv12 = n3)
% 49.10/15.13  																|
% 49.10/15.13  																+-Applying beta-rule and splitting (159), into two cases.
% 49.10/15.13  																|-Branch one:
% 49.10/15.13  																| (260)  ~ (leq(pv12, n5) = 0)
% 49.10/15.13  																|
% 49.10/15.13  																	| Using (231) and (260) yields:
% 49.10/15.13  																	| (179) $false
% 49.10/15.13  																	|
% 49.10/15.13  																	|-The branch is then unsatisfiable
% 49.10/15.13  																|-Branch two:
% 49.10/15.13  																| (231) leq(pv12, n5) = 0
% 49.10/15.13  																| (263) pv12 = n5 | pv12 = n4 | pv12 = n3 | pv12 = n2 | pv12 = n1 | pv12 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.13  																|
% 49.10/15.13  																	+-Applying beta-rule and splitting (263), into two cases.
% 49.10/15.13  																	|-Branch one:
% 49.10/15.13  																	| (250) pv12 = n0
% 49.10/15.13  																	|
% 49.10/15.13  																		| Equations (250) can reduce 249 to:
% 49.10/15.13  																		| (192) $false
% 49.10/15.13  																		|
% 49.10/15.13  																		|-The branch is then unsatisfiable
% 49.10/15.13  																	|-Branch two:
% 49.10/15.13  																	| (249)  ~ (pv12 = n0)
% 49.10/15.13  																	| (267) pv12 = n5 | pv12 = n4 | pv12 = n3 | pv12 = n2 | pv12 = n1 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.13  																	|
% 49.10/15.13  																		+-Applying beta-rule and splitting (267), into two cases.
% 49.10/15.13  																		|-Branch one:
% 49.10/15.13  																		| (268) pv12 = n1
% 49.10/15.13  																		|
% 49.10/15.13  																			| Equations (268) can reduce 255 to:
% 49.10/15.13  																			| (192) $false
% 49.10/15.13  																			|
% 49.10/15.13  																			|-The branch is then unsatisfiable
% 49.10/15.13  																		|-Branch two:
% 49.10/15.13  																		| (255)  ~ (pv12 = n1)
% 49.10/15.13  																		| (271) pv12 = n5 | pv12 = n4 | pv12 = n3 | pv12 = n2 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.13  																		|
% 49.10/15.13  																			+-Applying beta-rule and splitting (271), into two cases.
% 49.10/15.13  																			|-Branch one:
% 49.10/15.13  																			| (272) pv12 = n2
% 49.10/15.13  																			|
% 49.10/15.13  																				| Equations (272) can reduce 257 to:
% 49.10/15.13  																				| (192) $false
% 49.10/15.13  																				|
% 49.10/15.13  																				|-The branch is then unsatisfiable
% 49.10/15.13  																			|-Branch two:
% 49.10/15.13  																			| (257)  ~ (pv12 = n2)
% 49.10/15.13  																			| (275) pv12 = n5 | pv12 = n4 | pv12 = n3 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.13  																			|
% 49.10/15.13  																				+-Applying beta-rule and splitting (275), into two cases.
% 49.10/15.13  																				|-Branch one:
% 49.10/15.13  																				| (276) pv12 = n3
% 49.10/15.13  																				|
% 49.10/15.13  																					| Equations (276) can reduce 259 to:
% 49.10/15.13  																					| (192) $false
% 49.10/15.13  																					|
% 49.10/15.13  																					|-The branch is then unsatisfiable
% 49.10/15.13  																				|-Branch two:
% 49.10/15.13  																				| (259)  ~ (pv12 = n3)
% 49.10/15.13  																				| (279) pv12 = n5 | pv12 = n4 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.13  																				|
% 49.10/15.13  																					+-Applying beta-rule and splitting (279), into two cases.
% 49.10/15.13  																					|-Branch one:
% 49.10/15.13  																					| (280) pv12 = n4
% 49.10/15.13  																					|
% 49.10/15.13  																						| From (280) and (149) follows:
% 49.10/15.13  																						| (281) pred(n4) = all_0_23_23
% 49.10/15.13  																						|
% 49.10/15.13  																						+-Applying beta-rule and splitting (168), into two cases.
% 49.10/15.13  																						|-Branch one:
% 49.10/15.13  																						| (282)  ~ (pred(n4) = all_0_23_23)
% 49.10/15.13  																						|
% 49.10/15.13  																							| Using (281) and (282) yields:
% 49.10/15.13  																							| (179) $false
% 49.10/15.13  																							|
% 49.10/15.13  																							|-The branch is then unsatisfiable
% 49.10/15.13  																						|-Branch two:
% 49.10/15.13  																						| (281) pred(n4) = all_0_23_23
% 49.10/15.13  																						| (285) all_0_23_23 = n3
% 49.10/15.13  																						|
% 49.10/15.13  																							+-Applying beta-rule and splitting (247), into two cases.
% 49.10/15.13  																							|-Branch one:
% 49.10/15.13  																							| (286) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.14  																							|
% 49.10/15.14  																								| Applying alpha-rule on (286) yields:
% 49.10/15.14  																								| (287) all_0_11_11 = 0
% 49.10/15.14  																								| (288) a_select3(center, all_0_13_13, n0) = all_0_5_5
% 49.10/15.14  																								| (289) a_select3(center, all_0_14_14, n0) = all_0_9_9
% 49.10/15.14  																								| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.14  																								| (291) times(all_0_8_8, all_0_8_8) = all_0_7_7
% 49.10/15.14  																								| (292) divide(all_0_6_6, all_0_1_1) = all_0_0_0
% 49.10/15.14  																								| (293) all_0_12_12 = 0
% 49.10/15.14  																								| (294) leq(all_0_14_14, all_0_23_23) = 0
% 49.10/15.14  																								| (295) minus(all_0_5_5, all_0_22_22) = all_0_4_4
% 49.10/15.14  																								| (296) times(all_0_4_4, all_0_4_4) = all_0_3_3
% 49.10/15.14  																								| (297) sqrt(all_0_3_3) = all_0_2_2
% 49.10/15.14  																								| (298) leq(n0, all_0_14_14) = 0
% 49.10/15.14  																								| (299) sqrt(all_0_7_7) = all_0_6_6
% 49.10/15.14  																								| (300) minus(all_0_9_9, all_0_22_22) = all_0_8_8
% 49.10/15.14  																								| (301)  ~ (all_0_0_0 = all_0_10_10)
% 49.10/15.14  																								| (302) a_select3(q, pv10, all_0_14_14) = all_0_10_10
% 49.10/15.14  																								|
% 49.10/15.14  																								| From (167) and (290) follows:
% 49.10/15.14  																								| (303) sum(n0, n4, all_0_2_2) = all_0_1_1
% 49.10/15.14  																								|
% 49.10/15.14  																								| From (285) and (294) follows:
% 49.10/15.14  																								| (304) leq(all_0_14_14, n3) = 0
% 49.10/15.14  																								|
% 49.10/15.14  																								| Instantiating formula (83) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14 and discharging atoms times(all_0_4_4, all_0_4_4) = all_0_3_3, times(all_0_8_8, all_0_8_8) = all_0_7_7, sqrt(all_0_3_3) = all_0_2_2, sqrt(all_0_7_7) = all_0_6_6, divide(all_0_6_6, all_0_1_1) = all_0_0_0, minus(all_0_5_5, all_0_22_22) = all_0_4_4, minus(all_0_9_9, all_0_22_22) = all_0_8_8, a_select3(center, all_0_13_13, n0) = all_0_5_5, a_select3(center, all_0_14_14, n0) = all_0_9_9, yields:
% 49.10/15.14  																								| (305)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1) |  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.10/15.14  																								|
% 49.10/15.14  																								+-Applying beta-rule and splitting (305), into two cases.
% 49.10/15.14  																								|-Branch one:
% 49.10/15.14  																								| (306)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1)
% 49.10/15.14  																								|
% 49.10/15.14  																									| From (167) and (306) follows:
% 49.10/15.14  																									| (307)  ~ (sum(n0, n4, all_0_2_2) = all_0_1_1)
% 49.10/15.14  																									|
% 49.10/15.14  																									| Using (303) and (307) yields:
% 49.10/15.14  																									| (179) $false
% 49.10/15.14  																									|
% 49.10/15.14  																									|-The branch is then unsatisfiable
% 49.10/15.14  																								|-Branch two:
% 49.10/15.14  																								| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.14  																								| (310)  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.10/15.14  																								|
% 49.10/15.14  																									| Instantiating (310) with all_1601_0_103, all_1601_1_104, all_1601_2_105 yields:
% 49.10/15.14  																									| (311) a_select3(q, pv10, all_0_14_14) = all_1601_0_103 & leq(all_0_14_14, all_0_23_23) = all_1601_1_104 & leq(n0, all_0_14_14) = all_1601_2_105 & ( ~ (all_1601_1_104 = 0) |  ~ (all_1601_2_105 = 0) | all_1601_0_103 = all_0_0_0)
% 49.10/15.14  																									|
% 49.10/15.14  																									| Applying alpha-rule on (311) yields:
% 49.10/15.14  																									| (312) a_select3(q, pv10, all_0_14_14) = all_1601_0_103
% 49.10/15.14  																									| (313) leq(all_0_14_14, all_0_23_23) = all_1601_1_104
% 49.10/15.14  																									| (314) leq(n0, all_0_14_14) = all_1601_2_105
% 49.10/15.14  																									| (315)  ~ (all_1601_1_104 = 0) |  ~ (all_1601_2_105 = 0) | all_1601_0_103 = all_0_0_0
% 49.10/15.14  																									|
% 49.10/15.14  																									| From (285) and (313) follows:
% 49.10/15.14  																									| (316) leq(all_0_14_14, n3) = all_1601_1_104
% 49.10/15.14  																									|
% 49.10/15.14  																									| Instantiating formula (73) with q, pv10, all_0_14_14, all_1601_0_103, all_0_10_10 and discharging atoms a_select3(q, pv10, all_0_14_14) = all_1601_0_103, a_select3(q, pv10, all_0_14_14) = all_0_10_10, yields:
% 49.10/15.14  																									| (317) all_1601_0_103 = all_0_10_10
% 49.10/15.14  																									|
% 49.10/15.14  																									| Instantiating formula (134) with all_0_14_14, n3, all_1601_1_104, 0 and discharging atoms leq(all_0_14_14, n3) = all_1601_1_104, leq(all_0_14_14, n3) = 0, yields:
% 49.10/15.14  																									| (318) all_1601_1_104 = 0
% 49.10/15.14  																									|
% 49.10/15.14  																									| Instantiating formula (134) with n0, all_0_14_14, all_1601_2_105, 0 and discharging atoms leq(n0, all_0_14_14) = all_1601_2_105, leq(n0, all_0_14_14) = 0, yields:
% 49.10/15.14  																									| (319) all_1601_2_105 = 0
% 49.10/15.14  																									|
% 49.10/15.14  																									+-Applying beta-rule and splitting (315), into two cases.
% 49.10/15.14  																									|-Branch one:
% 49.10/15.14  																									| (320)  ~ (all_1601_1_104 = 0)
% 49.10/15.14  																									|
% 49.10/15.14  																										| Equations (318) can reduce 320 to:
% 49.10/15.14  																										| (192) $false
% 49.10/15.14  																										|
% 49.10/15.14  																										|-The branch is then unsatisfiable
% 49.10/15.14  																									|-Branch two:
% 49.10/15.14  																									| (318) all_1601_1_104 = 0
% 49.10/15.14  																									| (323)  ~ (all_1601_2_105 = 0) | all_1601_0_103 = all_0_0_0
% 49.10/15.14  																									|
% 49.10/15.14  																										+-Applying beta-rule and splitting (323), into two cases.
% 49.10/15.14  																										|-Branch one:
% 49.10/15.14  																										| (324)  ~ (all_1601_2_105 = 0)
% 49.10/15.14  																										|
% 49.10/15.14  																											| Equations (319) can reduce 324 to:
% 49.10/15.14  																											| (192) $false
% 49.10/15.14  																											|
% 49.10/15.14  																											|-The branch is then unsatisfiable
% 49.10/15.14  																										|-Branch two:
% 49.10/15.14  																										| (319) all_1601_2_105 = 0
% 49.10/15.14  																										| (327) all_1601_0_103 = all_0_0_0
% 49.10/15.14  																										|
% 49.10/15.14  																											| Combining equations (317,327) yields a new equation:
% 49.10/15.14  																											| (328) all_0_0_0 = all_0_10_10
% 49.10/15.14  																											|
% 49.10/15.14  																											| Equations (328) can reduce 301 to:
% 49.10/15.14  																											| (192) $false
% 49.10/15.14  																											|
% 49.10/15.14  																											|-The branch is then unsatisfiable
% 49.10/15.14  																							|-Branch two:
% 49.10/15.14  																							| (330) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.14  																							|
% 49.10/15.14  																								| Applying alpha-rule on (330) yields:
% 49.10/15.14  																								| (287) all_0_11_11 = 0
% 49.10/15.14  																								| (332) leq(all_0_14_14, all_0_21_21) = 0
% 49.10/15.14  																								| (333) sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9
% 49.10/15.14  																								| (293) all_0_12_12 = 0
% 49.10/15.14  																								| (298) leq(n0, all_0_14_14) = 0
% 49.10/15.14  																								| (336) a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10
% 49.10/15.14  																								| (337)  ~ (all_0_9_9 = n1)
% 49.10/15.14  																								|
% 49.10/15.14  																								| From (167) and (333) follows:
% 49.10/15.14  																								| (338) sum(n0, n4, all_0_10_10) = all_0_9_9
% 49.10/15.14  																								|
% 49.10/15.14  																								| Instantiating formula (8) with all_0_10_10, all_0_13_13, all_0_14_14 and discharging atoms a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10, yields:
% 49.10/15.14  																								| (339)  ? [v0] :  ? [v1] :  ? [v2] : (sum(n0, all_0_24_24, all_0_10_10) = v2 & leq(all_0_14_14, all_0_21_21) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = n1))
% 49.10/15.14  																								|
% 49.10/15.14  																								| Instantiating (339) with all_1572_0_124, all_1572_1_125, all_1572_2_126 yields:
% 49.10/15.14  																								| (340) sum(n0, all_0_24_24, all_0_10_10) = all_1572_0_124 & leq(all_0_14_14, all_0_21_21) = all_1572_1_125 & leq(n0, all_0_14_14) = all_1572_2_126 & ( ~ (all_1572_1_125 = 0) |  ~ (all_1572_2_126 = 0) | all_1572_0_124 = n1)
% 49.10/15.14  																								|
% 49.10/15.14  																								| Applying alpha-rule on (340) yields:
% 49.10/15.14  																								| (341) sum(n0, all_0_24_24, all_0_10_10) = all_1572_0_124
% 49.10/15.14  																								| (342) leq(all_0_14_14, all_0_21_21) = all_1572_1_125
% 49.10/15.14  																								| (343) leq(n0, all_0_14_14) = all_1572_2_126
% 49.10/15.14  																								| (344)  ~ (all_1572_1_125 = 0) |  ~ (all_1572_2_126 = 0) | all_1572_0_124 = n1
% 49.10/15.14  																								|
% 49.10/15.14  																								| From (167) and (341) follows:
% 49.10/15.14  																								| (345) sum(n0, n4, all_0_10_10) = all_1572_0_124
% 49.10/15.14  																								|
% 49.10/15.14  																								| Instantiating formula (110) with n0, n4, all_0_10_10, all_1572_0_124, all_0_9_9 and discharging atoms sum(n0, n4, all_0_10_10) = all_1572_0_124, sum(n0, n4, all_0_10_10) = all_0_9_9, yields:
% 49.10/15.14  																								| (346) all_1572_0_124 = all_0_9_9
% 49.10/15.14  																								|
% 49.10/15.14  																								| Instantiating formula (134) with all_0_14_14, all_0_21_21, all_1572_1_125, 0 and discharging atoms leq(all_0_14_14, all_0_21_21) = all_1572_1_125, leq(all_0_14_14, all_0_21_21) = 0, yields:
% 49.10/15.14  																								| (347) all_1572_1_125 = 0
% 49.10/15.14  																								|
% 49.10/15.14  																								| Instantiating formula (134) with n0, all_0_14_14, all_1572_2_126, 0 and discharging atoms leq(n0, all_0_14_14) = all_1572_2_126, leq(n0, all_0_14_14) = 0, yields:
% 49.10/15.14  																								| (348) all_1572_2_126 = 0
% 49.10/15.14  																								|
% 49.10/15.14  																								+-Applying beta-rule and splitting (344), into two cases.
% 49.10/15.14  																								|-Branch one:
% 49.10/15.14  																								| (349)  ~ (all_1572_1_125 = 0)
% 49.10/15.14  																								|
% 49.10/15.14  																									| Equations (347) can reduce 349 to:
% 49.10/15.14  																									| (192) $false
% 49.10/15.14  																									|
% 49.10/15.14  																									|-The branch is then unsatisfiable
% 49.10/15.14  																								|-Branch two:
% 49.10/15.14  																								| (347) all_1572_1_125 = 0
% 49.10/15.14  																								| (352)  ~ (all_1572_2_126 = 0) | all_1572_0_124 = n1
% 49.10/15.14  																								|
% 49.10/15.14  																									+-Applying beta-rule and splitting (352), into two cases.
% 49.10/15.14  																									|-Branch one:
% 49.10/15.14  																									| (353)  ~ (all_1572_2_126 = 0)
% 49.10/15.14  																									|
% 49.10/15.14  																										| Equations (348) can reduce 353 to:
% 49.10/15.14  																										| (192) $false
% 49.10/15.14  																										|
% 49.10/15.14  																										|-The branch is then unsatisfiable
% 49.10/15.14  																									|-Branch two:
% 49.10/15.14  																									| (348) all_1572_2_126 = 0
% 49.10/15.14  																									| (356) all_1572_0_124 = n1
% 49.10/15.14  																									|
% 49.10/15.14  																										| Combining equations (346,356) yields a new equation:
% 49.10/15.14  																										| (357) all_0_9_9 = n1
% 49.10/15.15  																										|
% 49.10/15.15  																										| Simplifying 357 yields:
% 49.10/15.15  																										| (358) all_0_9_9 = n1
% 49.10/15.15  																										|
% 49.10/15.15  																										| Equations (358) can reduce 337 to:
% 49.10/15.15  																										| (192) $false
% 49.10/15.15  																										|
% 49.10/15.15  																										|-The branch is then unsatisfiable
% 49.10/15.15  																					|-Branch two:
% 49.10/15.15  																					| (360)  ~ (pv12 = n4)
% 49.10/15.15  																					| (361) pv12 = n5 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.15  																					|
% 49.10/15.15  																						+-Applying beta-rule and splitting (361), into two cases.
% 49.10/15.15  																						|-Branch one:
% 49.10/15.15  																						| (362) pv12 = n5
% 49.10/15.15  																						|
% 49.10/15.15  																							| Equations (362) can reduce 199 to:
% 49.10/15.15  																							| (192) $false
% 49.10/15.15  																							|
% 49.10/15.15  																							|-The branch is then unsatisfiable
% 49.10/15.15  																						|-Branch two:
% 49.10/15.15  																						| (199)  ~ (pv12 = n5)
% 49.10/15.15  																						| (365)  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.15  																						|
% 49.10/15.15  																							| Instantiating (365) with all_682_0_153 yields:
% 49.10/15.15  																							| (366)  ~ (all_682_0_153 = 0) & leq(n0, pv12) = all_682_0_153
% 49.10/15.15  																							|
% 49.10/15.15  																							| Applying alpha-rule on (366) yields:
% 49.10/15.15  																							| (367)  ~ (all_682_0_153 = 0)
% 49.10/15.15  																							| (368) leq(n0, pv12) = all_682_0_153
% 49.10/15.15  																							|
% 49.10/15.15  																							| Instantiating formula (134) with n0, pv12, all_682_0_153, 0 and discharging atoms leq(n0, pv12) = all_682_0_153, leq(n0, pv12) = 0, yields:
% 49.10/15.15  																							| (369) all_682_0_153 = 0
% 49.10/15.15  																							|
% 49.10/15.15  																							| Equations (369) can reduce 367 to:
% 49.10/15.15  																							| (192) $false
% 49.10/15.15  																							|
% 49.10/15.15  																							|-The branch is then unsatisfiable
% 49.10/15.15  															|-Branch two:
% 49.10/15.15  															| (371) pred(n3) = all_0_23_23
% 49.10/15.15  															| (372) all_0_23_23 = n2
% 49.10/15.15  															|
% 49.10/15.15  																+-Applying beta-rule and splitting (247), into two cases.
% 49.10/15.15  																|-Branch one:
% 49.10/15.15  																| (286) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.15  																|
% 49.10/15.15  																	| Applying alpha-rule on (286) yields:
% 49.10/15.15  																	| (287) all_0_11_11 = 0
% 49.10/15.15  																	| (288) a_select3(center, all_0_13_13, n0) = all_0_5_5
% 49.10/15.15  																	| (289) a_select3(center, all_0_14_14, n0) = all_0_9_9
% 49.10/15.15  																	| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.15  																	| (291) times(all_0_8_8, all_0_8_8) = all_0_7_7
% 49.10/15.15  																	| (292) divide(all_0_6_6, all_0_1_1) = all_0_0_0
% 49.10/15.15  																	| (293) all_0_12_12 = 0
% 49.10/15.15  																	| (294) leq(all_0_14_14, all_0_23_23) = 0
% 49.10/15.15  																	| (295) minus(all_0_5_5, all_0_22_22) = all_0_4_4
% 49.10/15.15  																	| (296) times(all_0_4_4, all_0_4_4) = all_0_3_3
% 49.10/15.15  																	| (297) sqrt(all_0_3_3) = all_0_2_2
% 49.10/15.15  																	| (298) leq(n0, all_0_14_14) = 0
% 49.10/15.15  																	| (299) sqrt(all_0_7_7) = all_0_6_6
% 49.10/15.15  																	| (300) minus(all_0_9_9, all_0_22_22) = all_0_8_8
% 49.10/15.15  																	| (301)  ~ (all_0_0_0 = all_0_10_10)
% 49.10/15.15  																	| (302) a_select3(q, pv10, all_0_14_14) = all_0_10_10
% 49.10/15.15  																	|
% 49.10/15.15  																	| From (167) and (290) follows:
% 49.10/15.15  																	| (303) sum(n0, n4, all_0_2_2) = all_0_1_1
% 49.10/15.15  																	|
% 49.10/15.15  																	| From (372) and (294) follows:
% 49.10/15.15  																	| (391) leq(all_0_14_14, n2) = 0
% 49.10/15.15  																	|
% 49.10/15.15  																	| Instantiating formula (83) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14 and discharging atoms times(all_0_4_4, all_0_4_4) = all_0_3_3, times(all_0_8_8, all_0_8_8) = all_0_7_7, sqrt(all_0_3_3) = all_0_2_2, sqrt(all_0_7_7) = all_0_6_6, divide(all_0_6_6, all_0_1_1) = all_0_0_0, minus(all_0_5_5, all_0_22_22) = all_0_4_4, minus(all_0_9_9, all_0_22_22) = all_0_8_8, a_select3(center, all_0_13_13, n0) = all_0_5_5, a_select3(center, all_0_14_14, n0) = all_0_9_9, yields:
% 49.10/15.15  																	| (305)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1) |  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.10/15.15  																	|
% 49.10/15.15  																	+-Applying beta-rule and splitting (305), into two cases.
% 49.10/15.15  																	|-Branch one:
% 49.10/15.15  																	| (306)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1)
% 49.10/15.15  																	|
% 49.10/15.15  																		| From (167) and (306) follows:
% 49.10/15.15  																		| (307)  ~ (sum(n0, n4, all_0_2_2) = all_0_1_1)
% 49.10/15.15  																		|
% 49.10/15.15  																		| Using (303) and (307) yields:
% 49.10/15.15  																		| (179) $false
% 49.10/15.15  																		|
% 49.10/15.15  																		|-The branch is then unsatisfiable
% 49.10/15.15  																	|-Branch two:
% 49.10/15.15  																	| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.15  																	| (310)  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.10/15.15  																	|
% 49.10/15.15  																		| Instantiating (310) with all_1575_0_186, all_1575_1_187, all_1575_2_188 yields:
% 49.10/15.15  																		| (398) a_select3(q, pv10, all_0_14_14) = all_1575_0_186 & leq(all_0_14_14, all_0_23_23) = all_1575_1_187 & leq(n0, all_0_14_14) = all_1575_2_188 & ( ~ (all_1575_1_187 = 0) |  ~ (all_1575_2_188 = 0) | all_1575_0_186 = all_0_0_0)
% 49.10/15.15  																		|
% 49.10/15.15  																		| Applying alpha-rule on (398) yields:
% 49.10/15.15  																		| (399) a_select3(q, pv10, all_0_14_14) = all_1575_0_186
% 49.10/15.15  																		| (400) leq(all_0_14_14, all_0_23_23) = all_1575_1_187
% 49.10/15.15  																		| (401) leq(n0, all_0_14_14) = all_1575_2_188
% 49.10/15.15  																		| (402)  ~ (all_1575_1_187 = 0) |  ~ (all_1575_2_188 = 0) | all_1575_0_186 = all_0_0_0
% 49.10/15.15  																		|
% 49.10/15.15  																		| From (372) and (400) follows:
% 49.10/15.15  																		| (403) leq(all_0_14_14, n2) = all_1575_1_187
% 49.10/15.15  																		|
% 49.10/15.15  																		| Instantiating formula (73) with q, pv10, all_0_14_14, all_1575_0_186, all_0_10_10 and discharging atoms a_select3(q, pv10, all_0_14_14) = all_1575_0_186, a_select3(q, pv10, all_0_14_14) = all_0_10_10, yields:
% 49.10/15.15  																		| (404) all_1575_0_186 = all_0_10_10
% 49.10/15.15  																		|
% 49.10/15.15  																		| Instantiating formula (134) with all_0_14_14, n2, all_1575_1_187, 0 and discharging atoms leq(all_0_14_14, n2) = all_1575_1_187, leq(all_0_14_14, n2) = 0, yields:
% 49.10/15.15  																		| (405) all_1575_1_187 = 0
% 49.10/15.15  																		|
% 49.10/15.15  																		| Instantiating formula (134) with n0, all_0_14_14, all_1575_2_188, 0 and discharging atoms leq(n0, all_0_14_14) = all_1575_2_188, leq(n0, all_0_14_14) = 0, yields:
% 49.10/15.15  																		| (406) all_1575_2_188 = 0
% 49.10/15.15  																		|
% 49.10/15.15  																		+-Applying beta-rule and splitting (402), into two cases.
% 49.10/15.15  																		|-Branch one:
% 49.10/15.15  																		| (407)  ~ (all_1575_1_187 = 0)
% 49.10/15.15  																		|
% 49.10/15.15  																			| Equations (405) can reduce 407 to:
% 49.10/15.15  																			| (192) $false
% 49.10/15.15  																			|
% 49.10/15.15  																			|-The branch is then unsatisfiable
% 49.10/15.15  																		|-Branch two:
% 49.10/15.15  																		| (405) all_1575_1_187 = 0
% 49.10/15.15  																		| (410)  ~ (all_1575_2_188 = 0) | all_1575_0_186 = all_0_0_0
% 49.10/15.15  																		|
% 49.10/15.15  																			+-Applying beta-rule and splitting (410), into two cases.
% 49.10/15.15  																			|-Branch one:
% 49.10/15.15  																			| (411)  ~ (all_1575_2_188 = 0)
% 49.10/15.15  																			|
% 49.10/15.15  																				| Equations (406) can reduce 411 to:
% 49.10/15.15  																				| (192) $false
% 49.10/15.15  																				|
% 49.10/15.15  																				|-The branch is then unsatisfiable
% 49.10/15.15  																			|-Branch two:
% 49.10/15.15  																			| (406) all_1575_2_188 = 0
% 49.10/15.15  																			| (414) all_1575_0_186 = all_0_0_0
% 49.10/15.15  																			|
% 49.10/15.15  																				| Combining equations (404,414) yields a new equation:
% 49.10/15.15  																				| (328) all_0_0_0 = all_0_10_10
% 49.10/15.15  																				|
% 49.10/15.15  																				| Equations (328) can reduce 301 to:
% 49.10/15.15  																				| (192) $false
% 49.10/15.15  																				|
% 49.10/15.15  																				|-The branch is then unsatisfiable
% 49.10/15.15  																|-Branch two:
% 49.10/15.15  																| (330) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.15  																|
% 49.10/15.15  																	| Applying alpha-rule on (330) yields:
% 49.10/15.15  																	| (287) all_0_11_11 = 0
% 49.10/15.15  																	| (332) leq(all_0_14_14, all_0_21_21) = 0
% 49.10/15.15  																	| (333) sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9
% 49.10/15.15  																	| (293) all_0_12_12 = 0
% 49.10/15.15  																	| (298) leq(n0, all_0_14_14) = 0
% 49.10/15.15  																	| (336) a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10
% 49.10/15.15  																	| (337)  ~ (all_0_9_9 = n1)
% 49.10/15.15  																	|
% 49.10/15.15  																	| From (167) and (333) follows:
% 49.10/15.15  																	| (338) sum(n0, n4, all_0_10_10) = all_0_9_9
% 49.10/15.15  																	|
% 49.10/15.15  																	| Instantiating formula (8) with all_0_10_10, all_0_13_13, all_0_14_14 and discharging atoms a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10, yields:
% 49.10/15.15  																	| (339)  ? [v0] :  ? [v1] :  ? [v2] : (sum(n0, all_0_24_24, all_0_10_10) = v2 & leq(all_0_14_14, all_0_21_21) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = n1))
% 49.10/15.15  																	|
% 49.10/15.15  																	| Instantiating (339) with all_1546_0_207, all_1546_1_208, all_1546_2_209 yields:
% 49.10/15.15  																	| (427) sum(n0, all_0_24_24, all_0_10_10) = all_1546_0_207 & leq(all_0_14_14, all_0_21_21) = all_1546_1_208 & leq(n0, all_0_14_14) = all_1546_2_209 & ( ~ (all_1546_1_208 = 0) |  ~ (all_1546_2_209 = 0) | all_1546_0_207 = n1)
% 49.10/15.15  																	|
% 49.10/15.15  																	| Applying alpha-rule on (427) yields:
% 49.10/15.16  																	| (428) sum(n0, all_0_24_24, all_0_10_10) = all_1546_0_207
% 49.10/15.16  																	| (429) leq(all_0_14_14, all_0_21_21) = all_1546_1_208
% 49.10/15.16  																	| (430) leq(n0, all_0_14_14) = all_1546_2_209
% 49.10/15.16  																	| (431)  ~ (all_1546_1_208 = 0) |  ~ (all_1546_2_209 = 0) | all_1546_0_207 = n1
% 49.10/15.16  																	|
% 49.10/15.16  																	| From (167) and (428) follows:
% 49.10/15.16  																	| (432) sum(n0, n4, all_0_10_10) = all_1546_0_207
% 49.10/15.16  																	|
% 49.10/15.16  																	| Instantiating formula (110) with n0, n4, all_0_10_10, all_1546_0_207, all_0_9_9 and discharging atoms sum(n0, n4, all_0_10_10) = all_1546_0_207, sum(n0, n4, all_0_10_10) = all_0_9_9, yields:
% 49.10/15.16  																	| (433) all_1546_0_207 = all_0_9_9
% 49.10/15.16  																	|
% 49.10/15.16  																	| Instantiating formula (134) with all_0_14_14, all_0_21_21, all_1546_1_208, 0 and discharging atoms leq(all_0_14_14, all_0_21_21) = all_1546_1_208, leq(all_0_14_14, all_0_21_21) = 0, yields:
% 49.10/15.16  																	| (434) all_1546_1_208 = 0
% 49.10/15.16  																	|
% 49.10/15.16  																	| Instantiating formula (134) with n0, all_0_14_14, all_1546_2_209, 0 and discharging atoms leq(n0, all_0_14_14) = all_1546_2_209, leq(n0, all_0_14_14) = 0, yields:
% 49.10/15.16  																	| (435) all_1546_2_209 = 0
% 49.10/15.16  																	|
% 49.10/15.16  																	+-Applying beta-rule and splitting (431), into two cases.
% 49.10/15.16  																	|-Branch one:
% 49.10/15.16  																	| (436)  ~ (all_1546_1_208 = 0)
% 49.10/15.16  																	|
% 49.10/15.16  																		| Equations (434) can reduce 436 to:
% 49.10/15.16  																		| (192) $false
% 49.10/15.16  																		|
% 49.10/15.16  																		|-The branch is then unsatisfiable
% 49.10/15.16  																	|-Branch two:
% 49.10/15.16  																	| (434) all_1546_1_208 = 0
% 49.10/15.16  																	| (439)  ~ (all_1546_2_209 = 0) | all_1546_0_207 = n1
% 49.10/15.16  																	|
% 49.10/15.16  																		+-Applying beta-rule and splitting (439), into two cases.
% 49.10/15.16  																		|-Branch one:
% 49.10/15.16  																		| (440)  ~ (all_1546_2_209 = 0)
% 49.10/15.16  																		|
% 49.10/15.16  																			| Equations (435) can reduce 440 to:
% 49.10/15.16  																			| (192) $false
% 49.10/15.16  																			|
% 49.10/15.16  																			|-The branch is then unsatisfiable
% 49.10/15.16  																		|-Branch two:
% 49.10/15.16  																		| (435) all_1546_2_209 = 0
% 49.10/15.16  																		| (443) all_1546_0_207 = n1
% 49.10/15.16  																		|
% 49.10/15.16  																			| Combining equations (433,443) yields a new equation:
% 49.10/15.16  																			| (357) all_0_9_9 = n1
% 49.10/15.16  																			|
% 49.10/15.16  																			| Simplifying 357 yields:
% 49.10/15.16  																			| (358) all_0_9_9 = n1
% 49.10/15.16  																			|
% 49.10/15.16  																			| Equations (358) can reduce 337 to:
% 49.10/15.16  																			| (192) $false
% 49.10/15.16  																			|
% 49.10/15.16  																			|-The branch is then unsatisfiable
% 49.10/15.16  														|-Branch two:
% 49.10/15.16  														| (447) leq(pv12, n2) = 0
% 49.10/15.16  														| (448) pv12 = n2 | pv12 = n1 | pv12 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.16  														|
% 49.10/15.16  															+-Applying beta-rule and splitting (448), into two cases.
% 49.10/15.16  															|-Branch one:
% 49.10/15.16  															| (250) pv12 = n0
% 49.10/15.16  															|
% 49.10/15.16  																| Equations (250) can reduce 249 to:
% 49.10/15.16  																| (192) $false
% 49.10/15.16  																|
% 49.10/15.16  																|-The branch is then unsatisfiable
% 49.10/15.16  															|-Branch two:
% 49.10/15.16  															| (249)  ~ (pv12 = n0)
% 49.10/15.16  															| (452) pv12 = n2 | pv12 = n1 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.16  															|
% 49.10/15.16  																+-Applying beta-rule and splitting (452), into two cases.
% 49.10/15.16  																|-Branch one:
% 49.10/15.16  																| (268) pv12 = n1
% 49.10/15.16  																|
% 49.10/15.16  																	| Equations (268) can reduce 255 to:
% 49.10/15.16  																	| (192) $false
% 49.10/15.16  																	|
% 49.10/15.16  																	|-The branch is then unsatisfiable
% 49.10/15.16  																|-Branch two:
% 49.10/15.16  																| (255)  ~ (pv12 = n1)
% 49.10/15.16  																| (456) pv12 = n2 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.16  																|
% 49.10/15.16  																	+-Applying beta-rule and splitting (456), into two cases.
% 49.10/15.16  																	|-Branch one:
% 49.10/15.16  																	| (272) pv12 = n2
% 49.10/15.16  																	|
% 49.10/15.16  																		| From (272) and (149) follows:
% 49.10/15.16  																		| (458) pred(n2) = all_0_23_23
% 49.10/15.16  																		|
% 49.10/15.16  																		+-Applying beta-rule and splitting (170), into two cases.
% 49.10/15.16  																		|-Branch one:
% 49.10/15.16  																		| (459)  ~ (pred(n2) = all_0_23_23)
% 49.10/15.16  																		|
% 49.10/15.16  																			| Using (458) and (459) yields:
% 49.10/15.16  																			| (179) $false
% 49.10/15.16  																			|
% 49.10/15.16  																			|-The branch is then unsatisfiable
% 49.10/15.16  																		|-Branch two:
% 49.10/15.16  																		| (458) pred(n2) = all_0_23_23
% 49.10/15.16  																		| (462) all_0_23_23 = n1
% 49.10/15.16  																		|
% 49.10/15.16  																			+-Applying beta-rule and splitting (247), into two cases.
% 49.10/15.16  																			|-Branch one:
% 49.10/15.16  																			| (286) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.16  																			|
% 49.10/15.16  																				| Applying alpha-rule on (286) yields:
% 49.10/15.16  																				| (287) all_0_11_11 = 0
% 49.10/15.16  																				| (288) a_select3(center, all_0_13_13, n0) = all_0_5_5
% 49.10/15.16  																				| (289) a_select3(center, all_0_14_14, n0) = all_0_9_9
% 49.10/15.16  																				| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.16  																				| (291) times(all_0_8_8, all_0_8_8) = all_0_7_7
% 49.10/15.16  																				| (292) divide(all_0_6_6, all_0_1_1) = all_0_0_0
% 49.10/15.16  																				| (293) all_0_12_12 = 0
% 49.10/15.16  																				| (294) leq(all_0_14_14, all_0_23_23) = 0
% 49.10/15.16  																				| (295) minus(all_0_5_5, all_0_22_22) = all_0_4_4
% 49.10/15.16  																				| (296) times(all_0_4_4, all_0_4_4) = all_0_3_3
% 49.10/15.16  																				| (297) sqrt(all_0_3_3) = all_0_2_2
% 49.10/15.16  																				| (298) leq(n0, all_0_14_14) = 0
% 49.10/15.16  																				| (299) sqrt(all_0_7_7) = all_0_6_6
% 49.10/15.16  																				| (300) minus(all_0_9_9, all_0_22_22) = all_0_8_8
% 49.10/15.16  																				| (301)  ~ (all_0_0_0 = all_0_10_10)
% 49.10/15.16  																				| (302) a_select3(q, pv10, all_0_14_14) = all_0_10_10
% 49.10/15.16  																				|
% 49.10/15.16  																				| From (167) and (290) follows:
% 49.10/15.16  																				| (303) sum(n0, n4, all_0_2_2) = all_0_1_1
% 49.10/15.16  																				|
% 49.10/15.16  																				| From (462) and (294) follows:
% 49.10/15.16  																				| (481) leq(all_0_14_14, n1) = 0
% 49.10/15.16  																				|
% 49.10/15.16  																				| Instantiating formula (83) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14 and discharging atoms times(all_0_4_4, all_0_4_4) = all_0_3_3, times(all_0_8_8, all_0_8_8) = all_0_7_7, sqrt(all_0_3_3) = all_0_2_2, sqrt(all_0_7_7) = all_0_6_6, divide(all_0_6_6, all_0_1_1) = all_0_0_0, minus(all_0_5_5, all_0_22_22) = all_0_4_4, minus(all_0_9_9, all_0_22_22) = all_0_8_8, a_select3(center, all_0_13_13, n0) = all_0_5_5, a_select3(center, all_0_14_14, n0) = all_0_9_9, yields:
% 49.10/15.16  																				| (305)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1) |  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.10/15.16  																				|
% 49.10/15.16  																				+-Applying beta-rule and splitting (305), into two cases.
% 49.10/15.16  																				|-Branch one:
% 49.10/15.16  																				| (306)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1)
% 49.10/15.16  																				|
% 49.10/15.16  																					| From (167) and (306) follows:
% 49.10/15.16  																					| (307)  ~ (sum(n0, n4, all_0_2_2) = all_0_1_1)
% 49.10/15.16  																					|
% 49.10/15.16  																					| Using (303) and (307) yields:
% 49.10/15.16  																					| (179) $false
% 49.10/15.16  																					|
% 49.10/15.16  																					|-The branch is then unsatisfiable
% 49.10/15.16  																				|-Branch two:
% 49.10/15.16  																				| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.16  																				| (310)  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.10/15.16  																				|
% 49.10/15.16  																					| Instantiating (310) with all_1649_0_283, all_1649_1_284, all_1649_2_285 yields:
% 49.10/15.16  																					| (488) a_select3(q, pv10, all_0_14_14) = all_1649_0_283 & leq(all_0_14_14, all_0_23_23) = all_1649_1_284 & leq(n0, all_0_14_14) = all_1649_2_285 & ( ~ (all_1649_1_284 = 0) |  ~ (all_1649_2_285 = 0) | all_1649_0_283 = all_0_0_0)
% 49.10/15.16  																					|
% 49.10/15.16  																					| Applying alpha-rule on (488) yields:
% 49.10/15.16  																					| (489) a_select3(q, pv10, all_0_14_14) = all_1649_0_283
% 49.10/15.16  																					| (490) leq(all_0_14_14, all_0_23_23) = all_1649_1_284
% 49.10/15.16  																					| (491) leq(n0, all_0_14_14) = all_1649_2_285
% 49.10/15.16  																					| (492)  ~ (all_1649_1_284 = 0) |  ~ (all_1649_2_285 = 0) | all_1649_0_283 = all_0_0_0
% 49.10/15.16  																					|
% 49.10/15.16  																					| From (462) and (490) follows:
% 49.10/15.16  																					| (493) leq(all_0_14_14, n1) = all_1649_1_284
% 49.10/15.16  																					|
% 49.10/15.16  																					| Instantiating formula (73) with q, pv10, all_0_14_14, all_1649_0_283, all_0_10_10 and discharging atoms a_select3(q, pv10, all_0_14_14) = all_1649_0_283, a_select3(q, pv10, all_0_14_14) = all_0_10_10, yields:
% 49.10/15.16  																					| (494) all_1649_0_283 = all_0_10_10
% 49.10/15.16  																					|
% 49.10/15.16  																					| Instantiating formula (134) with all_0_14_14, n1, all_1649_1_284, 0 and discharging atoms leq(all_0_14_14, n1) = all_1649_1_284, leq(all_0_14_14, n1) = 0, yields:
% 49.10/15.16  																					| (495) all_1649_1_284 = 0
% 49.10/15.16  																					|
% 49.10/15.16  																					| Instantiating formula (134) with n0, all_0_14_14, all_1649_2_285, 0 and discharging atoms leq(n0, all_0_14_14) = all_1649_2_285, leq(n0, all_0_14_14) = 0, yields:
% 49.10/15.16  																					| (496) all_1649_2_285 = 0
% 49.10/15.16  																					|
% 49.10/15.16  																					+-Applying beta-rule and splitting (492), into two cases.
% 49.10/15.16  																					|-Branch one:
% 49.10/15.16  																					| (497)  ~ (all_1649_1_284 = 0)
% 49.10/15.16  																					|
% 49.10/15.16  																						| Equations (495) can reduce 497 to:
% 49.10/15.16  																						| (192) $false
% 49.10/15.16  																						|
% 49.10/15.16  																						|-The branch is then unsatisfiable
% 49.10/15.16  																					|-Branch two:
% 49.10/15.16  																					| (495) all_1649_1_284 = 0
% 49.10/15.16  																					| (500)  ~ (all_1649_2_285 = 0) | all_1649_0_283 = all_0_0_0
% 49.10/15.16  																					|
% 49.10/15.16  																						+-Applying beta-rule and splitting (500), into two cases.
% 49.10/15.16  																						|-Branch one:
% 49.10/15.16  																						| (501)  ~ (all_1649_2_285 = 0)
% 49.10/15.16  																						|
% 49.10/15.16  																							| Equations (496) can reduce 501 to:
% 49.10/15.16  																							| (192) $false
% 49.10/15.16  																							|
% 49.10/15.16  																							|-The branch is then unsatisfiable
% 49.10/15.16  																						|-Branch two:
% 49.10/15.16  																						| (496) all_1649_2_285 = 0
% 49.10/15.16  																						| (504) all_1649_0_283 = all_0_0_0
% 49.10/15.16  																						|
% 49.10/15.16  																							| Combining equations (504,494) yields a new equation:
% 49.10/15.16  																							| (505) all_0_0_0 = all_0_10_10
% 49.10/15.16  																							|
% 49.10/15.16  																							| Simplifying 505 yields:
% 49.10/15.16  																							| (328) all_0_0_0 = all_0_10_10
% 49.10/15.16  																							|
% 49.10/15.16  																							| Equations (328) can reduce 301 to:
% 49.10/15.16  																							| (192) $false
% 49.10/15.16  																							|
% 49.10/15.16  																							|-The branch is then unsatisfiable
% 49.10/15.16  																			|-Branch two:
% 49.10/15.16  																			| (330) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.16  																			|
% 49.10/15.16  																				| Applying alpha-rule on (330) yields:
% 49.10/15.16  																				| (287) all_0_11_11 = 0
% 49.10/15.16  																				| (332) leq(all_0_14_14, all_0_21_21) = 0
% 49.10/15.16  																				| (333) sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9
% 49.10/15.16  																				| (293) all_0_12_12 = 0
% 49.10/15.16  																				| (298) leq(n0, all_0_14_14) = 0
% 49.10/15.16  																				| (336) a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10
% 49.10/15.16  																				| (337)  ~ (all_0_9_9 = n1)
% 49.10/15.16  																				|
% 49.10/15.16  																				| From (167) and (333) follows:
% 49.10/15.16  																				| (338) sum(n0, n4, all_0_10_10) = all_0_9_9
% 49.10/15.16  																				|
% 49.10/15.16  																				| Instantiating formula (8) with all_0_10_10, all_0_13_13, all_0_14_14 and discharging atoms a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10, yields:
% 49.10/15.16  																				| (339)  ? [v0] :  ? [v1] :  ? [v2] : (sum(n0, all_0_24_24, all_0_10_10) = v2 & leq(all_0_14_14, all_0_21_21) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = n1))
% 49.10/15.16  																				|
% 49.10/15.16  																				| Instantiating (339) with all_1552_0_288, all_1552_1_289, all_1552_2_290 yields:
% 49.10/15.16  																				| (518) sum(n0, all_0_24_24, all_0_10_10) = all_1552_0_288 & leq(all_0_14_14, all_0_21_21) = all_1552_1_289 & leq(n0, all_0_14_14) = all_1552_2_290 & ( ~ (all_1552_1_289 = 0) |  ~ (all_1552_2_290 = 0) | all_1552_0_288 = n1)
% 49.10/15.16  																				|
% 49.10/15.16  																				| Applying alpha-rule on (518) yields:
% 49.10/15.16  																				| (519) sum(n0, all_0_24_24, all_0_10_10) = all_1552_0_288
% 49.10/15.16  																				| (520) leq(all_0_14_14, all_0_21_21) = all_1552_1_289
% 49.10/15.16  																				| (521) leq(n0, all_0_14_14) = all_1552_2_290
% 49.10/15.16  																				| (522)  ~ (all_1552_1_289 = 0) |  ~ (all_1552_2_290 = 0) | all_1552_0_288 = n1
% 49.10/15.16  																				|
% 49.10/15.16  																				| From (167) and (519) follows:
% 49.10/15.16  																				| (523) sum(n0, n4, all_0_10_10) = all_1552_0_288
% 49.10/15.16  																				|
% 49.10/15.16  																				| Instantiating formula (110) with n0, n4, all_0_10_10, all_1552_0_288, all_0_9_9 and discharging atoms sum(n0, n4, all_0_10_10) = all_1552_0_288, sum(n0, n4, all_0_10_10) = all_0_9_9, yields:
% 49.10/15.16  																				| (524) all_1552_0_288 = all_0_9_9
% 49.10/15.16  																				|
% 49.10/15.16  																				| Instantiating formula (134) with all_0_14_14, all_0_21_21, all_1552_1_289, 0 and discharging atoms leq(all_0_14_14, all_0_21_21) = all_1552_1_289, leq(all_0_14_14, all_0_21_21) = 0, yields:
% 49.10/15.16  																				| (525) all_1552_1_289 = 0
% 49.10/15.16  																				|
% 49.10/15.16  																				| Instantiating formula (134) with n0, all_0_14_14, all_1552_2_290, 0 and discharging atoms leq(n0, all_0_14_14) = all_1552_2_290, leq(n0, all_0_14_14) = 0, yields:
% 49.10/15.16  																				| (526) all_1552_2_290 = 0
% 49.10/15.16  																				|
% 49.10/15.16  																				+-Applying beta-rule and splitting (522), into two cases.
% 49.10/15.16  																				|-Branch one:
% 49.10/15.16  																				| (527)  ~ (all_1552_1_289 = 0)
% 49.10/15.16  																				|
% 49.10/15.16  																					| Equations (525) can reduce 527 to:
% 49.10/15.16  																					| (192) $false
% 49.10/15.16  																					|
% 49.10/15.16  																					|-The branch is then unsatisfiable
% 49.10/15.16  																				|-Branch two:
% 49.10/15.16  																				| (525) all_1552_1_289 = 0
% 49.10/15.17  																				| (530)  ~ (all_1552_2_290 = 0) | all_1552_0_288 = n1
% 49.10/15.17  																				|
% 49.10/15.17  																					+-Applying beta-rule and splitting (530), into two cases.
% 49.10/15.17  																					|-Branch one:
% 49.10/15.17  																					| (531)  ~ (all_1552_2_290 = 0)
% 49.10/15.17  																					|
% 49.10/15.17  																						| Equations (526) can reduce 531 to:
% 49.10/15.17  																						| (192) $false
% 49.10/15.17  																						|
% 49.10/15.17  																						|-The branch is then unsatisfiable
% 49.10/15.17  																					|-Branch two:
% 49.10/15.17  																					| (526) all_1552_2_290 = 0
% 49.10/15.17  																					| (534) all_1552_0_288 = n1
% 49.10/15.17  																					|
% 49.10/15.17  																						| Combining equations (524,534) yields a new equation:
% 49.10/15.17  																						| (357) all_0_9_9 = n1
% 49.10/15.17  																						|
% 49.10/15.17  																						| Simplifying 357 yields:
% 49.10/15.17  																						| (358) all_0_9_9 = n1
% 49.10/15.17  																						|
% 49.10/15.17  																						| Equations (358) can reduce 337 to:
% 49.10/15.17  																						| (192) $false
% 49.10/15.17  																						|
% 49.10/15.17  																						|-The branch is then unsatisfiable
% 49.10/15.17  																	|-Branch two:
% 49.10/15.17  																	| (257)  ~ (pv12 = n2)
% 49.10/15.17  																	| (365)  ? [v0] : ( ~ (v0 = 0) & leq(n0, pv12) = v0)
% 49.10/15.17  																	|
% 49.10/15.17  																		| Instantiating (365) with all_610_0_317 yields:
% 49.10/15.17  																		| (540)  ~ (all_610_0_317 = 0) & leq(n0, pv12) = all_610_0_317
% 49.10/15.17  																		|
% 49.10/15.17  																		| Applying alpha-rule on (540) yields:
% 49.10/15.17  																		| (541)  ~ (all_610_0_317 = 0)
% 49.10/15.17  																		| (542) leq(n0, pv12) = all_610_0_317
% 49.10/15.17  																		|
% 49.10/15.17  																		| Instantiating formula (134) with n0, pv12, all_610_0_317, 0 and discharging atoms leq(n0, pv12) = all_610_0_317, leq(n0, pv12) = 0, yields:
% 49.10/15.17  																		| (543) all_610_0_317 = 0
% 49.10/15.17  																		|
% 49.10/15.17  																		| Equations (543) can reduce 541 to:
% 49.10/15.17  																		| (192) $false
% 49.10/15.17  																		|
% 49.10/15.17  																		|-The branch is then unsatisfiable
% 49.10/15.17  													|-Branch two:
% 49.10/15.17  													| (545) pred(n1) = all_0_23_23
% 49.10/15.17  													| (546) all_0_23_23 = n0
% 49.10/15.17  													|
% 49.10/15.17  														+-Applying beta-rule and splitting (247), into two cases.
% 49.10/15.17  														|-Branch one:
% 49.10/15.17  														| (286) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0
% 49.10/15.17  														|
% 49.10/15.17  															| Applying alpha-rule on (286) yields:
% 49.10/15.17  															| (287) all_0_11_11 = 0
% 49.10/15.17  															| (288) a_select3(center, all_0_13_13, n0) = all_0_5_5
% 49.10/15.17  															| (289) a_select3(center, all_0_14_14, n0) = all_0_9_9
% 49.10/15.17  															| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.10/15.17  															| (291) times(all_0_8_8, all_0_8_8) = all_0_7_7
% 49.10/15.17  															| (292) divide(all_0_6_6, all_0_1_1) = all_0_0_0
% 49.10/15.17  															| (293) all_0_12_12 = 0
% 49.10/15.17  															| (294) leq(all_0_14_14, all_0_23_23) = 0
% 49.10/15.17  															| (295) minus(all_0_5_5, all_0_22_22) = all_0_4_4
% 49.10/15.17  															| (296) times(all_0_4_4, all_0_4_4) = all_0_3_3
% 49.10/15.17  															| (297) sqrt(all_0_3_3) = all_0_2_2
% 49.10/15.17  															| (298) leq(n0, all_0_14_14) = 0
% 49.40/15.17  															| (299) sqrt(all_0_7_7) = all_0_6_6
% 49.40/15.17  															| (300) minus(all_0_9_9, all_0_22_22) = all_0_8_8
% 49.40/15.17  															| (301)  ~ (all_0_0_0 = all_0_10_10)
% 49.40/15.17  															| (302) a_select3(q, pv10, all_0_14_14) = all_0_10_10
% 49.40/15.17  															|
% 49.40/15.17  															| From (167) and (290) follows:
% 49.40/15.17  															| (303) sum(n0, n4, all_0_2_2) = all_0_1_1
% 49.40/15.17  															|
% 49.40/15.17  															| From (546) and (294) follows:
% 49.40/15.17  															| (565) leq(all_0_14_14, n0) = 0
% 49.40/15.17  															|
% 49.40/15.17  															| Instantiating formula (83) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14 and discharging atoms times(all_0_4_4, all_0_4_4) = all_0_3_3, times(all_0_8_8, all_0_8_8) = all_0_7_7, sqrt(all_0_3_3) = all_0_2_2, sqrt(all_0_7_7) = all_0_6_6, divide(all_0_6_6, all_0_1_1) = all_0_0_0, minus(all_0_5_5, all_0_22_22) = all_0_4_4, minus(all_0_9_9, all_0_22_22) = all_0_8_8, a_select3(center, all_0_13_13, n0) = all_0_5_5, a_select3(center, all_0_14_14, n0) = all_0_9_9, yields:
% 49.40/15.17  															| (305)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1) |  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.40/15.17  															|
% 49.40/15.17  															+-Applying beta-rule and splitting (305), into two cases.
% 49.40/15.17  															|-Branch one:
% 49.40/15.17  															| (306)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1)
% 49.40/15.17  															|
% 49.40/15.17  																| From (167) and (306) follows:
% 49.40/15.17  																| (307)  ~ (sum(n0, n4, all_0_2_2) = all_0_1_1)
% 49.40/15.17  																|
% 49.40/15.17  																| Using (303) and (307) yields:
% 49.40/15.17  																| (179) $false
% 49.40/15.17  																|
% 49.40/15.17  																|-The branch is then unsatisfiable
% 49.40/15.17  															|-Branch two:
% 49.40/15.17  															| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.40/15.17  															| (310)  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.40/15.17  															|
% 49.40/15.17  																| Instantiating (310) with all_1564_0_351, all_1564_1_352, all_1564_2_353 yields:
% 49.40/15.17  																| (572) a_select3(q, pv10, all_0_14_14) = all_1564_0_351 & leq(all_0_14_14, all_0_23_23) = all_1564_1_352 & leq(n0, all_0_14_14) = all_1564_2_353 & ( ~ (all_1564_1_352 = 0) |  ~ (all_1564_2_353 = 0) | all_1564_0_351 = all_0_0_0)
% 49.40/15.17  																|
% 49.40/15.17  																| Applying alpha-rule on (572) yields:
% 49.40/15.17  																| (573) a_select3(q, pv10, all_0_14_14) = all_1564_0_351
% 49.40/15.17  																| (574) leq(all_0_14_14, all_0_23_23) = all_1564_1_352
% 49.40/15.17  																| (575) leq(n0, all_0_14_14) = all_1564_2_353
% 49.40/15.17  																| (576)  ~ (all_1564_1_352 = 0) |  ~ (all_1564_2_353 = 0) | all_1564_0_351 = all_0_0_0
% 49.40/15.17  																|
% 49.40/15.17  																| From (546) and (574) follows:
% 49.40/15.17  																| (577) leq(all_0_14_14, n0) = all_1564_1_352
% 49.40/15.17  																|
% 49.40/15.17  																| Instantiating formula (73) with q, pv10, all_0_14_14, all_1564_0_351, all_0_10_10 and discharging atoms a_select3(q, pv10, all_0_14_14) = all_1564_0_351, a_select3(q, pv10, all_0_14_14) = all_0_10_10, yields:
% 49.40/15.17  																| (578) all_1564_0_351 = all_0_10_10
% 49.40/15.17  																|
% 49.40/15.17  																| Instantiating formula (134) with all_0_14_14, n0, all_1564_1_352, 0 and discharging atoms leq(all_0_14_14, n0) = all_1564_1_352, leq(all_0_14_14, n0) = 0, yields:
% 49.40/15.17  																| (579) all_1564_1_352 = 0
% 49.40/15.17  																|
% 49.40/15.17  																| Instantiating formula (134) with n0, all_0_14_14, all_1564_2_353, 0 and discharging atoms leq(n0, all_0_14_14) = all_1564_2_353, leq(n0, all_0_14_14) = 0, yields:
% 49.40/15.17  																| (580) all_1564_2_353 = 0
% 49.40/15.17  																|
% 49.40/15.17  																+-Applying beta-rule and splitting (576), into two cases.
% 49.40/15.17  																|-Branch one:
% 49.40/15.17  																| (581)  ~ (all_1564_1_352 = 0)
% 49.40/15.17  																|
% 49.40/15.17  																	| Equations (579) can reduce 581 to:
% 49.40/15.17  																	| (192) $false
% 49.40/15.17  																	|
% 49.40/15.17  																	|-The branch is then unsatisfiable
% 49.40/15.17  																|-Branch two:
% 49.40/15.17  																| (579) all_1564_1_352 = 0
% 49.40/15.17  																| (584)  ~ (all_1564_2_353 = 0) | all_1564_0_351 = all_0_0_0
% 49.40/15.17  																|
% 49.40/15.17  																	+-Applying beta-rule and splitting (584), into two cases.
% 49.40/15.17  																	|-Branch one:
% 49.40/15.17  																	| (585)  ~ (all_1564_2_353 = 0)
% 49.40/15.17  																	|
% 49.40/15.17  																		| Equations (580) can reduce 585 to:
% 49.40/15.17  																		| (192) $false
% 49.40/15.17  																		|
% 49.40/15.17  																		|-The branch is then unsatisfiable
% 49.40/15.17  																	|-Branch two:
% 49.40/15.17  																	| (580) all_1564_2_353 = 0
% 49.40/15.17  																	| (588) all_1564_0_351 = all_0_0_0
% 49.40/15.17  																	|
% 49.40/15.17  																		| Combining equations (578,588) yields a new equation:
% 49.40/15.17  																		| (328) all_0_0_0 = all_0_10_10
% 49.40/15.17  																		|
% 49.40/15.17  																		| Equations (328) can reduce 301 to:
% 49.40/15.17  																		| (192) $false
% 49.40/15.17  																		|
% 49.40/15.17  																		|-The branch is then unsatisfiable
% 49.40/15.17  														|-Branch two:
% 49.40/15.17  														| (330) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0
% 49.40/15.17  														|
% 49.40/15.17  															| Applying alpha-rule on (330) yields:
% 49.40/15.17  															| (287) all_0_11_11 = 0
% 49.40/15.17  															| (332) leq(all_0_14_14, all_0_21_21) = 0
% 49.40/15.17  															| (333) sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9
% 49.40/15.17  															| (293) all_0_12_12 = 0
% 49.40/15.17  															| (298) leq(n0, all_0_14_14) = 0
% 49.40/15.17  															| (336) a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10
% 49.40/15.17  															| (337)  ~ (all_0_9_9 = n1)
% 49.40/15.17  															|
% 49.40/15.17  															| From (167) and (333) follows:
% 49.40/15.17  															| (338) sum(n0, n4, all_0_10_10) = all_0_9_9
% 49.40/15.17  															|
% 49.40/15.17  															| Instantiating formula (8) with all_0_10_10, all_0_13_13, all_0_14_14 and discharging atoms a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10, yields:
% 49.40/15.17  															| (339)  ? [v0] :  ? [v1] :  ? [v2] : (sum(n0, all_0_24_24, all_0_10_10) = v2 & leq(all_0_14_14, all_0_21_21) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = n1))
% 49.40/15.17  															|
% 49.40/15.17  															| Instantiating (339) with all_1528_0_367, all_1528_1_368, all_1528_2_369 yields:
% 49.40/15.17  															| (601) sum(n0, all_0_24_24, all_0_10_10) = all_1528_0_367 & leq(all_0_14_14, all_0_21_21) = all_1528_1_368 & leq(n0, all_0_14_14) = all_1528_2_369 & ( ~ (all_1528_1_368 = 0) |  ~ (all_1528_2_369 = 0) | all_1528_0_367 = n1)
% 49.40/15.17  															|
% 49.40/15.17  															| Applying alpha-rule on (601) yields:
% 49.40/15.17  															| (602) sum(n0, all_0_24_24, all_0_10_10) = all_1528_0_367
% 49.40/15.17  															| (603) leq(all_0_14_14, all_0_21_21) = all_1528_1_368
% 49.40/15.17  															| (604) leq(n0, all_0_14_14) = all_1528_2_369
% 49.40/15.17  															| (605)  ~ (all_1528_1_368 = 0) |  ~ (all_1528_2_369 = 0) | all_1528_0_367 = n1
% 49.40/15.17  															|
% 49.40/15.17  															| From (167) and (602) follows:
% 49.40/15.17  															| (606) sum(n0, n4, all_0_10_10) = all_1528_0_367
% 49.40/15.17  															|
% 49.40/15.17  															| Instantiating formula (110) with n0, n4, all_0_10_10, all_1528_0_367, all_0_9_9 and discharging atoms sum(n0, n4, all_0_10_10) = all_1528_0_367, sum(n0, n4, all_0_10_10) = all_0_9_9, yields:
% 49.40/15.17  															| (607) all_1528_0_367 = all_0_9_9
% 49.40/15.17  															|
% 49.40/15.17  															| Instantiating formula (134) with all_0_14_14, all_0_21_21, all_1528_1_368, 0 and discharging atoms leq(all_0_14_14, all_0_21_21) = all_1528_1_368, leq(all_0_14_14, all_0_21_21) = 0, yields:
% 49.40/15.17  															| (608) all_1528_1_368 = 0
% 49.40/15.17  															|
% 49.40/15.17  															| Instantiating formula (134) with n0, all_0_14_14, all_1528_2_369, 0 and discharging atoms leq(n0, all_0_14_14) = all_1528_2_369, leq(n0, all_0_14_14) = 0, yields:
% 49.40/15.17  															| (609) all_1528_2_369 = 0
% 49.40/15.17  															|
% 49.40/15.17  															+-Applying beta-rule and splitting (605), into two cases.
% 49.40/15.17  															|-Branch one:
% 49.40/15.17  															| (610)  ~ (all_1528_1_368 = 0)
% 49.40/15.17  															|
% 49.40/15.17  																| Equations (608) can reduce 610 to:
% 49.40/15.17  																| (192) $false
% 49.40/15.17  																|
% 49.40/15.17  																|-The branch is then unsatisfiable
% 49.40/15.17  															|-Branch two:
% 49.40/15.17  															| (608) all_1528_1_368 = 0
% 49.40/15.17  															| (613)  ~ (all_1528_2_369 = 0) | all_1528_0_367 = n1
% 49.40/15.17  															|
% 49.40/15.17  																+-Applying beta-rule and splitting (613), into two cases.
% 49.40/15.17  																|-Branch one:
% 49.40/15.17  																| (614)  ~ (all_1528_2_369 = 0)
% 49.40/15.17  																|
% 49.40/15.17  																	| Equations (609) can reduce 614 to:
% 49.40/15.17  																	| (192) $false
% 49.40/15.17  																	|
% 49.40/15.17  																	|-The branch is then unsatisfiable
% 49.40/15.17  																|-Branch two:
% 49.40/15.17  																| (609) all_1528_2_369 = 0
% 49.40/15.17  																| (617) all_1528_0_367 = n1
% 49.40/15.17  																|
% 49.40/15.17  																	| Combining equations (607,617) yields a new equation:
% 49.40/15.17  																	| (357) all_0_9_9 = n1
% 49.40/15.17  																	|
% 49.40/15.17  																	| Simplifying 357 yields:
% 49.40/15.17  																	| (358) all_0_9_9 = n1
% 49.40/15.17  																	|
% 49.40/15.17  																	| Equations (358) can reduce 337 to:
% 49.40/15.17  																	| (192) $false
% 49.40/15.17  																	|
% 49.40/15.17  																	|-The branch is then unsatisfiable
% 49.40/15.17  											|-Branch two:
% 49.40/15.17  											| (621) minus(n0, n1) = all_0_23_23
% 49.40/15.17  											| (622) all_0_20_20 = all_0_23_23
% 49.40/15.17  											|
% 49.40/15.17  												| Combining equations (622,174) yields a new equation:
% 49.40/15.17  												| (623) all_0_23_23 = tptp_minus_1
% 49.40/15.17  												|
% 49.40/15.17  												| Simplifying 623 yields:
% 49.40/15.17  												| (624) all_0_23_23 = tptp_minus_1
% 49.40/15.17  												|
% 49.40/15.17  												| From (624) and (200) follows:
% 49.40/15.17  												| (625) succ(tptp_minus_1) = pv12
% 49.40/15.17  												|
% 49.40/15.17  												| From (624) and (149) follows:
% 49.40/15.17  												| (626) pred(pv12) = tptp_minus_1
% 49.40/15.17  												|
% 49.40/15.17  												+-Applying beta-rule and splitting (228), into two cases.
% 49.40/15.17  												|-Branch one:
% 49.40/15.17  												| (627)  ~ (pred(pv12) = tptp_minus_1)
% 49.40/15.17  												|
% 49.40/15.17  													| Using (626) and (627) yields:
% 49.40/15.17  													| (179) $false
% 49.40/15.17  													|
% 49.40/15.18  													|-The branch is then unsatisfiable
% 49.40/15.18  												|-Branch two:
% 49.40/15.18  												| (626) pred(pv12) = tptp_minus_1
% 49.40/15.18  												| (630) all_84_0_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & gt(pv12, n4) = v0)
% 49.40/15.18  												|
% 49.40/15.18  													+-Applying beta-rule and splitting (227), into two cases.
% 49.40/15.18  													|-Branch one:
% 49.40/15.18  													| (631)  ~ (succ(tptp_minus_1) = pv12)
% 49.40/15.18  													|
% 49.40/15.18  														| Using (625) and (631) yields:
% 49.40/15.18  														| (179) $false
% 49.40/15.18  														|
% 49.40/15.18  														|-The branch is then unsatisfiable
% 49.40/15.18  													|-Branch two:
% 49.40/15.18  													| (625) succ(tptp_minus_1) = pv12
% 49.40/15.18  													| (250) pv12 = n0
% 49.40/15.18  													|
% 49.40/15.18  														| From (250) and (626) follows:
% 49.40/15.18  														| (156) pred(n0) = tptp_minus_1
% 49.40/15.18  														|
% 49.40/15.18  														| From (250) and (242) follows:
% 49.40/15.18  														| (636) leq(n0, tptp_minus_1) = all_190_0_51
% 49.40/15.18  														|
% 49.40/15.18  														+-Applying beta-rule and splitting (243), into two cases.
% 49.40/15.18  														|-Branch one:
% 49.40/15.18  														| (637)  ~ (leq(n0, tptp_minus_1) = all_190_0_51)
% 49.40/15.18  														|
% 49.40/15.18  															| Using (636) and (637) yields:
% 49.40/15.18  															| (179) $false
% 49.40/15.18  															|
% 49.40/15.18  															|-The branch is then unsatisfiable
% 49.40/15.18  														|-Branch two:
% 49.40/15.18  														| (636) leq(n0, tptp_minus_1) = all_190_0_51
% 49.40/15.18  														| (640) all_190_0_51 = all_146_0_49
% 49.40/15.18  														|
% 49.40/15.18  															| Equations (640) can reduce 241 to:
% 49.40/15.18  															| (225)  ~ (all_146_0_49 = 0)
% 49.40/15.18  															|
% 49.40/15.18  															| From (640) and (636) follows:
% 49.40/15.18  															| (226) leq(n0, tptp_minus_1) = all_146_0_49
% 49.40/15.18  															|
% 49.40/15.18  															+-Applying beta-rule and splitting (173), into two cases.
% 49.40/15.18  															|-Branch one:
% 49.40/15.18  															| (643)  ~ (pred(n0) = all_0_23_23)
% 49.40/15.18  															|
% 49.40/15.18  																| From (624) and (643) follows:
% 49.40/15.18  																| (644)  ~ (pred(n0) = tptp_minus_1)
% 49.40/15.18  																|
% 49.40/15.18  																| Using (156) and (644) yields:
% 49.40/15.18  																| (179) $false
% 49.40/15.18  																|
% 49.40/15.18  																|-The branch is then unsatisfiable
% 49.40/15.18  															|-Branch two:
% 49.40/15.18  															| (646) pred(n0) = all_0_23_23
% 49.40/15.18  															| (624) all_0_23_23 = tptp_minus_1
% 49.40/15.18  															|
% 49.40/15.18  																| From (624) and (646) follows:
% 49.40/15.18  																| (156) pred(n0) = tptp_minus_1
% 49.40/15.18  																|
% 49.40/15.18  																+-Applying beta-rule and splitting (172), into two cases.
% 49.40/15.18  																|-Branch one:
% 49.40/15.18  																| (643)  ~ (pred(n0) = all_0_23_23)
% 49.40/15.18  																|
% 49.40/15.18  																	| From (624) and (643) follows:
% 49.40/15.18  																	| (644)  ~ (pred(n0) = tptp_minus_1)
% 49.40/15.18  																	|
% 49.40/15.18  																	| Using (156) and (644) yields:
% 49.40/15.18  																	| (179) $false
% 49.40/15.18  																	|
% 49.40/15.18  																	|-The branch is then unsatisfiable
% 49.40/15.18  																|-Branch two:
% 49.40/15.18  																| (646) pred(n0) = all_0_23_23
% 49.40/15.18  																| (622) all_0_20_20 = all_0_23_23
% 49.40/15.18  																|
% 49.40/15.18  																	| Combining equations (622,174) yields a new equation:
% 49.40/15.18  																	| (623) all_0_23_23 = tptp_minus_1
% 49.40/15.18  																	|
% 49.40/15.18  																	| Simplifying 623 yields:
% 49.40/15.18  																	| (624) all_0_23_23 = tptp_minus_1
% 49.40/15.18  																	|
% 49.40/15.18  																	+-Applying beta-rule and splitting (247), into two cases.
% 49.40/15.18  																	|-Branch one:
% 49.40/15.18  																	| (286) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_0_0 = all_0_10_10) & times(all_0_4_4, all_0_4_4) = all_0_3_3 & times(all_0_8_8, all_0_8_8) = all_0_7_7 & sqrt(all_0_3_3) = all_0_2_2 & sqrt(all_0_7_7) = all_0_6_6 & divide(all_0_6_6, all_0_1_1) = all_0_0_0 & minus(all_0_5_5, all_0_22_22) = all_0_4_4 & minus(all_0_9_9, all_0_22_22) = all_0_8_8 & sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1 & a_select3(center, all_0_13_13, n0) = all_0_5_5 & a_select3(center, all_0_14_14, n0) = all_0_9_9 & a_select3(q, pv10, all_0_14_14) = all_0_10_10 & leq(all_0_14_14, all_0_23_23) = 0 & leq(n0, all_0_14_14) = 0
% 49.40/15.18  																	|
% 49.40/15.18  																		| Applying alpha-rule on (286) yields:
% 49.40/15.18  																		| (287) all_0_11_11 = 0
% 49.40/15.18  																		| (288) a_select3(center, all_0_13_13, n0) = all_0_5_5
% 49.40/15.18  																		| (289) a_select3(center, all_0_14_14, n0) = all_0_9_9
% 49.40/15.18  																		| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.40/15.18  																		| (291) times(all_0_8_8, all_0_8_8) = all_0_7_7
% 49.40/15.18  																		| (292) divide(all_0_6_6, all_0_1_1) = all_0_0_0
% 49.40/15.18  																		| (293) all_0_12_12 = 0
% 49.40/15.18  																		| (294) leq(all_0_14_14, all_0_23_23) = 0
% 49.40/15.18  																		| (295) minus(all_0_5_5, all_0_22_22) = all_0_4_4
% 49.40/15.18  																		| (296) times(all_0_4_4, all_0_4_4) = all_0_3_3
% 49.40/15.18  																		| (297) sqrt(all_0_3_3) = all_0_2_2
% 49.40/15.18  																		| (298) leq(n0, all_0_14_14) = 0
% 49.40/15.18  																		| (299) sqrt(all_0_7_7) = all_0_6_6
% 49.40/15.18  																		| (300) minus(all_0_9_9, all_0_22_22) = all_0_8_8
% 49.40/15.18  																		| (301)  ~ (all_0_0_0 = all_0_10_10)
% 49.40/15.18  																		| (302) a_select3(q, pv10, all_0_14_14) = all_0_10_10
% 49.40/15.18  																		|
% 49.40/15.18  																		| From (167) and (290) follows:
% 49.40/15.18  																		| (303) sum(n0, n4, all_0_2_2) = all_0_1_1
% 49.40/15.18  																		|
% 49.40/15.18  																		| From (624) and (294) follows:
% 49.40/15.18  																		| (674) leq(all_0_14_14, tptp_minus_1) = 0
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating formula (83) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_13_13, all_0_14_14 and discharging atoms times(all_0_4_4, all_0_4_4) = all_0_3_3, times(all_0_8_8, all_0_8_8) = all_0_7_7, sqrt(all_0_3_3) = all_0_2_2, sqrt(all_0_7_7) = all_0_6_6, divide(all_0_6_6, all_0_1_1) = all_0_0_0, minus(all_0_5_5, all_0_22_22) = all_0_4_4, minus(all_0_9_9, all_0_22_22) = all_0_8_8, a_select3(center, all_0_13_13, n0) = all_0_5_5, a_select3(center, all_0_14_14, n0) = all_0_9_9, yields:
% 49.40/15.18  																		| (305)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1) |  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating formula (125) with all_146_0_49, tptp_minus_1, all_0_14_14, n0 and discharging atoms leq(n0, all_0_14_14) = 0, leq(n0, tptp_minus_1) = all_146_0_49, yields:
% 49.40/15.18  																		| (676) all_146_0_49 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_14_14, tptp_minus_1) = v0)
% 49.40/15.18  																		|
% 49.40/15.18  																		+-Applying beta-rule and splitting (305), into two cases.
% 49.40/15.18  																		|-Branch one:
% 49.40/15.18  																		| (306)  ~ (sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1)
% 49.40/15.18  																		|
% 49.40/15.18  																			| From (167) and (306) follows:
% 49.40/15.18  																			| (307)  ~ (sum(n0, n4, all_0_2_2) = all_0_1_1)
% 49.40/15.18  																			|
% 49.40/15.18  																			| Using (303) and (307) yields:
% 49.40/15.18  																			| (179) $false
% 49.40/15.18  																			|
% 49.40/15.18  																			|-The branch is then unsatisfiable
% 49.40/15.18  																		|-Branch two:
% 49.40/15.18  																		| (290) sum(n0, all_0_24_24, all_0_2_2) = all_0_1_1
% 49.40/15.18  																		| (310)  ? [v0] :  ? [v1] :  ? [v2] : (a_select3(q, pv10, all_0_14_14) = v2 & leq(all_0_14_14, all_0_23_23) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_0_0_0))
% 49.40/15.18  																		|
% 49.40/15.18  																			| Instantiating (310) with all_1534_0_438, all_1534_1_439, all_1534_2_440 yields:
% 49.40/15.18  																			| (682) a_select3(q, pv10, all_0_14_14) = all_1534_0_438 & leq(all_0_14_14, all_0_23_23) = all_1534_1_439 & leq(n0, all_0_14_14) = all_1534_2_440 & ( ~ (all_1534_1_439 = 0) |  ~ (all_1534_2_440 = 0) | all_1534_0_438 = all_0_0_0)
% 49.40/15.18  																			|
% 49.40/15.18  																			| Applying alpha-rule on (682) yields:
% 49.40/15.18  																			| (683) a_select3(q, pv10, all_0_14_14) = all_1534_0_438
% 49.40/15.18  																			| (684) leq(all_0_14_14, all_0_23_23) = all_1534_1_439
% 49.40/15.18  																			| (685) leq(n0, all_0_14_14) = all_1534_2_440
% 49.40/15.18  																			| (686)  ~ (all_1534_1_439 = 0) |  ~ (all_1534_2_440 = 0) | all_1534_0_438 = all_0_0_0
% 49.40/15.18  																			|
% 49.40/15.18  																			| From (624) and (684) follows:
% 49.40/15.18  																			| (687) leq(all_0_14_14, tptp_minus_1) = all_1534_1_439
% 49.40/15.18  																			|
% 49.40/15.18  																			+-Applying beta-rule and splitting (676), into two cases.
% 49.40/15.18  																			|-Branch one:
% 49.40/15.18  																			| (232) all_146_0_49 = 0
% 49.40/15.18  																			|
% 49.40/15.18  																				| Equations (232) can reduce 225 to:
% 49.40/15.18  																				| (192) $false
% 49.40/15.18  																				|
% 49.40/15.18  																				|-The branch is then unsatisfiable
% 49.40/15.18  																			|-Branch two:
% 49.40/15.18  																			| (225)  ~ (all_146_0_49 = 0)
% 49.40/15.18  																			| (691)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_14_14, tptp_minus_1) = v0)
% 49.40/15.18  																			|
% 49.40/15.18  																				| Instantiating (691) with all_1550_0_443 yields:
% 49.40/15.18  																				| (692)  ~ (all_1550_0_443 = 0) & leq(all_0_14_14, tptp_minus_1) = all_1550_0_443
% 49.40/15.18  																				|
% 49.40/15.18  																				| Applying alpha-rule on (692) yields:
% 49.40/15.18  																				| (693)  ~ (all_1550_0_443 = 0)
% 49.40/15.18  																				| (694) leq(all_0_14_14, tptp_minus_1) = all_1550_0_443
% 49.40/15.18  																				|
% 49.40/15.18  																				| Instantiating formula (134) with all_0_14_14, tptp_minus_1, all_1550_0_443, 0 and discharging atoms leq(all_0_14_14, tptp_minus_1) = all_1550_0_443, leq(all_0_14_14, tptp_minus_1) = 0, yields:
% 49.40/15.18  																				| (695) all_1550_0_443 = 0
% 49.40/15.18  																				|
% 49.40/15.18  																				| Instantiating formula (134) with all_0_14_14, tptp_minus_1, all_1534_1_439, all_1550_0_443 and discharging atoms leq(all_0_14_14, tptp_minus_1) = all_1550_0_443, leq(all_0_14_14, tptp_minus_1) = all_1534_1_439, yields:
% 49.40/15.18  																				| (696) all_1550_0_443 = all_1534_1_439
% 49.40/15.18  																				|
% 49.40/15.18  																				| Combining equations (695,696) yields a new equation:
% 49.40/15.18  																				| (697) all_1534_1_439 = 0
% 49.40/15.18  																				|
% 49.40/15.18  																				| Combining equations (697,696) yields a new equation:
% 49.40/15.18  																				| (695) all_1550_0_443 = 0
% 49.40/15.18  																				|
% 49.40/15.18  																				| Equations (695) can reduce 693 to:
% 49.40/15.18  																				| (192) $false
% 49.40/15.18  																				|
% 49.40/15.18  																				|-The branch is then unsatisfiable
% 49.40/15.18  																	|-Branch two:
% 49.40/15.18  																	| (330) all_0_11_11 = 0 & all_0_12_12 = 0 &  ~ (all_0_9_9 = n1) & sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9 & a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10 & leq(all_0_14_14, all_0_21_21) = 0 & leq(n0, all_0_14_14) = 0
% 49.40/15.18  																	|
% 49.40/15.18  																		| Applying alpha-rule on (330) yields:
% 49.40/15.18  																		| (287) all_0_11_11 = 0
% 49.40/15.18  																		| (332) leq(all_0_14_14, all_0_21_21) = 0
% 49.40/15.18  																		| (333) sum(n0, all_0_24_24, all_0_10_10) = all_0_9_9
% 49.40/15.18  																		| (293) all_0_12_12 = 0
% 49.40/15.18  																		| (298) leq(n0, all_0_14_14) = 0
% 49.40/15.18  																		| (336) a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10
% 49.40/15.18  																		| (337)  ~ (all_0_9_9 = n1)
% 49.40/15.18  																		|
% 49.40/15.18  																		| From (167) and (333) follows:
% 49.40/15.18  																		| (338) sum(n0, n4, all_0_10_10) = all_0_9_9
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating formula (8) with all_0_10_10, all_0_13_13, all_0_14_14 and discharging atoms a_select3(q, all_0_14_14, all_0_13_13) = all_0_10_10, yields:
% 49.40/15.18  																		| (339)  ? [v0] :  ? [v1] :  ? [v2] : (sum(n0, all_0_24_24, all_0_10_10) = v2 & leq(all_0_14_14, all_0_21_21) = v1 & leq(n0, all_0_14_14) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = n1))
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating (339) with all_1464_0_450, all_1464_1_451, all_1464_2_452 yields:
% 49.40/15.18  																		| (710) sum(n0, all_0_24_24, all_0_10_10) = all_1464_0_450 & leq(all_0_14_14, all_0_21_21) = all_1464_1_451 & leq(n0, all_0_14_14) = all_1464_2_452 & ( ~ (all_1464_1_451 = 0) |  ~ (all_1464_2_452 = 0) | all_1464_0_450 = n1)
% 49.40/15.18  																		|
% 49.40/15.18  																		| Applying alpha-rule on (710) yields:
% 49.40/15.18  																		| (711) sum(n0, all_0_24_24, all_0_10_10) = all_1464_0_450
% 49.40/15.18  																		| (712) leq(all_0_14_14, all_0_21_21) = all_1464_1_451
% 49.40/15.18  																		| (713) leq(n0, all_0_14_14) = all_1464_2_452
% 49.40/15.18  																		| (714)  ~ (all_1464_1_451 = 0) |  ~ (all_1464_2_452 = 0) | all_1464_0_450 = n1
% 49.40/15.18  																		|
% 49.40/15.18  																		| From (167) and (711) follows:
% 49.40/15.18  																		| (715) sum(n0, n4, all_0_10_10) = all_1464_0_450
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating formula (110) with n0, n4, all_0_10_10, all_1464_0_450, all_0_9_9 and discharging atoms sum(n0, n4, all_0_10_10) = all_1464_0_450, sum(n0, n4, all_0_10_10) = all_0_9_9, yields:
% 49.40/15.18  																		| (716) all_1464_0_450 = all_0_9_9
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating formula (134) with all_0_14_14, all_0_21_21, all_1464_1_451, 0 and discharging atoms leq(all_0_14_14, all_0_21_21) = all_1464_1_451, leq(all_0_14_14, all_0_21_21) = 0, yields:
% 49.40/15.18  																		| (717) all_1464_1_451 = 0
% 49.40/15.18  																		|
% 49.40/15.18  																		| Instantiating formula (134) with n0, all_0_14_14, all_1464_2_452, 0 and discharging atoms leq(n0, all_0_14_14) = all_1464_2_452, leq(n0, all_0_14_14) = 0, yields:
% 49.40/15.18  																		| (718) all_1464_2_452 = 0
% 49.40/15.18  																		|
% 49.40/15.18  																		+-Applying beta-rule and splitting (714), into two cases.
% 49.40/15.18  																		|-Branch one:
% 49.40/15.18  																		| (719)  ~ (all_1464_1_451 = 0)
% 49.40/15.18  																		|
% 49.40/15.18  																			| Equations (717) can reduce 719 to:
% 49.40/15.18  																			| (192) $false
% 49.40/15.18  																			|
% 49.40/15.18  																			|-The branch is then unsatisfiable
% 49.40/15.18  																		|-Branch two:
% 49.40/15.18  																		| (717) all_1464_1_451 = 0
% 49.40/15.18  																		| (722)  ~ (all_1464_2_452 = 0) | all_1464_0_450 = n1
% 49.40/15.18  																		|
% 49.40/15.18  																			+-Applying beta-rule and splitting (722), into two cases.
% 49.40/15.18  																			|-Branch one:
% 49.40/15.18  																			| (723)  ~ (all_1464_2_452 = 0)
% 49.40/15.18  																			|
% 49.40/15.18  																				| Equations (718) can reduce 723 to:
% 49.40/15.18  																				| (192) $false
% 49.40/15.18  																				|
% 49.40/15.18  																				|-The branch is then unsatisfiable
% 49.40/15.18  																			|-Branch two:
% 49.40/15.18  																			| (718) all_1464_2_452 = 0
% 49.40/15.18  																			| (726) all_1464_0_450 = n1
% 49.40/15.18  																			|
% 49.40/15.18  																				| Combining equations (716,726) yields a new equation:
% 49.40/15.18  																				| (357) all_0_9_9 = n1
% 49.40/15.18  																				|
% 49.40/15.18  																				| Simplifying 357 yields:
% 49.40/15.18  																				| (358) all_0_9_9 = n1
% 49.40/15.18  																				|
% 49.40/15.18  																				| Equations (358) can reduce 337 to:
% 49.40/15.18  																				| (192) $false
% 49.40/15.18  																				|
% 49.40/15.18  																				|-The branch is then unsatisfiable
% 49.40/15.19  	|-Branch two:
% 49.40/15.19  	| (730) leq(n5, all_0_24_24) = 0
% 49.40/15.19  	| (731) gt(all_0_24_24, n4) = 0
% 49.40/15.19  	|
% 49.40/15.19  		| From (167) and (731) follows:
% 49.40/15.19  		| (732) gt(n4, n4) = 0
% 49.40/15.19  		|
% 49.40/15.19  		| Using (732) and (143) yields:
% 49.40/15.19  		| (179) $false
% 49.40/15.19  		|
% 49.40/15.19  		|-The branch is then unsatisfiable
% 49.40/15.19  % SZS output end Proof for theBenchmark
% 49.40/15.19  
% 49.40/15.19  14568ms
%------------------------------------------------------------------------------