%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV125+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n003.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 17:50:06 EDT 2022

% Result   : Theorem 24.19s 6.78s
% Output   : Proof 42.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV125+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 04:34:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.60          ____       _                          
% 0.20/0.60    ___  / __ \_____(_)___  ________  __________
% 0.20/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.20/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.20/0.60  
% 0.20/0.60  A Theorem Prover for First-Order Logic
% 0.20/0.60  (ePrincess v.1.0)
% 0.20/0.60  
% 0.20/0.60  (c) Philipp Rümmer, 2009-2015
% 0.20/0.60  (c) Peter Backeman, 2014-2015
% 0.20/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.60  Bug reports to peter@backeman.se
% 0.20/0.60  
% 0.20/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.60  
% 0.20/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.99/1.20  Prover 0: Preprocessing ...
% 5.37/1.75  Prover 0: Warning: ignoring some quantifiers
% 5.68/1.78  Prover 0: Constructing countermodel ...
% 20.84/5.94  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.67/6.17  Prover 1: Preprocessing ...
% 22.43/6.33  Prover 1: Warning: ignoring some quantifiers
% 22.43/6.34  Prover 1: Constructing countermodel ...
% 24.19/6.78  Prover 1: proved (838ms)
% 24.19/6.78  Prover 0: stopped
% 24.19/6.78  
% 24.19/6.78  No countermodel exists, formula is valid
% 24.19/6.78  % SZS status Theorem for theBenchmark
% 24.19/6.78  
% 24.19/6.78  Generating proof ... Warning: ignoring some quantifiers
% 41.23/11.02  found it (size 831)
% 41.23/11.02  
% 41.23/11.02  % SZS output start Proof for theBenchmark
% 41.23/11.02  Assumed formulas after preprocessing and simplification: 
% 41.23/11.02  | (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] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] :  ? [v42] :  ? [v43] :  ? [v44] : ( ~ (def = use) & minus(n6, n1) = v11 & minus(n1000, n1) = v1 & minus(n4, n1) = v0 & a_select2(sigma, pv23) = v42 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & geq(v11, n0) = v44 & geq(v1, n0) = 0 & geq(v0, n0) = 0 & geq(n7, n0) = 0 & leq(pv23, v11) = v41 & leq(pv32, v11) = v37 & leq(pv31, v11) = v36 & leq(pv21, v11) = v32 & leq(pv21, n5) = v33 & leq(pv5, v1) = v38 & leq(pv5, n588) = v31 & leq(n6, n7) = v27 & leq(n7, n7) = v28 & leq(n5, v11) = v26 & leq(n5, n7) = v25 & leq(n4, v11) = v24 & leq(n4, n7) = v23 & leq(n3, v11) = v22 & leq(n3, v0) = v21 & leq(n3, n7) = v20 & leq(n2, v11) = v19 & leq(n2, v0) = v18 & leq(n2, n7) = v17 & leq(n1, v11) = v16 & leq(n1, v0) = v15 & leq(n1, n7) = v14 & leq(n0, v42) = v43 & leq(n0, v11) = v12 & leq(n0, v1) = v13 & leq(n0, v0) = v10 & leq(n0, pv23) = v40 & leq(n0, pv32) = v35 & leq(n0, pv31) = v34 & leq(n0, pv21) = v30 & leq(n0, pv5) = v29 & leq(n0, n6) = v8 & leq(n0, n7) = v9 & leq(n0, n5) = v7 & leq(n0, n4) = v6 & leq(n0, n3) = v5 & leq(n0, n2) = v4 & leq(n0, n1) = v3 & leq(n0, n0) = v2 & gt(n588, n6) = 0 & gt(n588, n7) = 0 & gt(n588, n5) = 0 & gt(n588, n4) = 0 & gt(n588, n3) = 0 & gt(n588, n2) = 0 & gt(n588, n1) = 0 & gt(n588, tptp_minus_1) = 0 & gt(n588, n0) = 0 & gt(pv5, n0) = v39 & gt(n6, n5) = 0 & gt(n6, n4) = 0 & gt(n6, n3) = 0 & gt(n6, n2) = 0 & gt(n6, n1) = 0 & gt(n6, tptp_minus_1) = 0 & gt(n6, n0) = 0 & gt(n7, n6) = 0 & gt(n7, n5) = 0 & gt(n7, n4) = 0 & gt(n7, n3) = 0 & gt(n7, n2) = 0 & gt(n7, n1) = 0 & gt(n7, tptp_minus_1) = 0 & gt(n7, n0) = 0 & gt(n1000, n588) = 0 & gt(n1000, n6) = 0 & gt(n1000, n7) = 0 & gt(n1000, n5) = 0 & gt(n1000, n4) = 0 & gt(n1000, n3) = 0 & gt(n1000, n2) = 0 & gt(n1000, n1) = 0 & gt(n1000, tptp_minus_1) = 0 & gt(n1000, 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 &  ? [v45] :  ? [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] :  ! [v53] :  ! [v54] :  ! [v55] :  ! [v56] :  ! [v57] :  ! [v58] :  ! [v59] :  ! [v60] :  ! [v61] :  ! [v62] :  ! [v63] :  ! [v64] :  ! [v65] :  ! [v66] : ( ~ (tptp_mmul(v59, v60) = v61) |  ~ (tptp_mmul(v52, v56) = v57) |  ~ (tptp_mmul(v51, v57) = v58) |  ~ (tptp_mmul(v50, v53) = v54) |  ~ (tptp_mmul(v49, v54) = v55) |  ~ (tptp_mmul(v48, v61) = v62) |  ~ (tptp_madd(v55, v58) = v59) |  ~ (tptp_madd(v47, v62) = v63) |  ~ (trans(v51) = v56) |  ~ (trans(v49) = v53) |  ~ (trans(v48) = v60) |  ~ (a_select3(v63, v64, v65) = v66) |  ? [v67] :  ? [v68] :  ? [v69] :  ? [v70] :  ? [v71] :  ? [v72] :  ? [v73] :  ? [v74] : ((v72 = 0 & v71 = 0 & v70 = 0 & v69 = 0 &  ~ (v74 = v73) & a_select3(v52, v68, v67) = v74 & a_select3(v52, v67, v68) = v73 & leq(v68, v45) = 0 & leq(v67, v45) = 0 & leq(n0, v68) = 0 & leq(n0, v67) = 0) | (v72 = 0 & v71 = 0 & v70 = 0 & v69 = 0 &  ~ (v74 = v73) & a_select3(v50, v68, v67) = v74 & a_select3(v50, v67, v68) = v73 & leq(v68, v46) = 0 & leq(v67, v46) = 0 & leq(n0, v68) = 0 & leq(n0, v67) = 0) | (v72 = 0 & v71 = 0 & v70 = 0 & v69 = 0 &  ~ (v74 = v73) & a_select3(v47, v68, v67) = v74 & a_select3(v47, v67, v68) = v73 & leq(v68, v45) = 0 & leq(v67, v45) = 0 & leq(n0, v68) = 0 & leq(n0, v67) = 0) | (a_select3(v63, v65, v64) = v71 & leq(v65, v45) = v70 & leq(v64, v45) = v68 & leq(n0, v65) = v69 & leq(n0, v64) = v67 & ( ~ (v70 = 0) |  ~ (v69 = 0) |  ~ (v68 = 0) |  ~ (v67 = 0) | v71 = v66)))) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] :  ! [v53] :  ! [v54] :  ! [v55] : (v55 = v51 |  ~ (tptp_const_array2(v52, v53, v51) = v54) |  ~ (a_select3(v54, v45, v48) = v55) |  ~ (dim(v49, v50) = v53) |  ~ (dim(v46, v47) = v52) |  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] : (leq(v49, v48) = v58 & leq(v48, v50) = v59 & leq(v46, v45) = v56 & leq(v45, v47) = v57 & ( ~ (v59 = 0) |  ~ (v58 = 0) |  ~ (v57 = 0) |  ~ (v56 = 0)))) &  ? [v45] :  ? [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] :  ! [v53] :  ! [v54] : ( ~ (tptp_mmul(v48, v49) = v50) |  ~ (tptp_mmul(v47, v50) = v51) |  ~ (trans(v47) = v49) |  ~ (a_select3(v51, v52, v53) = v54) |  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] :  ? [v60] :  ? [v61] :  ? [v62] : ((v60 = 0 & v59 = 0 & v58 = 0 & v57 = 0 &  ~ (v62 = v61) & a_select3(v48, v56, v55) = v62 & a_select3(v48, v55, v56) = v61 & leq(v56, v46) = 0 & leq(v55, v46) = 0 & leq(n0, v56) = 0 & leq(n0, v55) = 0) | (a_select3(v51, v53, v52) = v59 & leq(v53, v45) = v58 & leq(v52, v45) = v56 & leq(n0, v53) = v57 & leq(n0, v52) = v55 & ( ~ (v58 = 0) |  ~ (v57 = 0) |  ~ (v56 = 0) |  ~ (v55 = 0) | v59 = v54)))) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] :  ! [v53] : ( ~ (tptp_mmul(v47, v48) = v49) |  ~ (tptp_mmul(v46, v49) = v50) |  ~ (trans(v46) = v48) |  ~ (a_select3(v50, v51, v52) = v53) |  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] :  ? [v60] :  ? [v61] : ((v59 = 0 & v58 = 0 & v57 = 0 & v56 = 0 &  ~ (v61 = v60) & a_select3(v47, v55, v54) = v61 & a_select3(v47, v54, v55) = v60 & leq(v55, v45) = 0 & leq(v54, v45) = 0 & leq(n0, v55) = 0 & leq(n0, v54) = 0) | (a_select3(v50, v52, v51) = v58 & leq(v52, v45) = v57 & leq(v51, v45) = v55 & leq(n0, v52) = v56 & leq(n0, v51) = v54 & ( ~ (v57 = 0) |  ~ (v56 = 0) |  ~ (v55 = 0) |  ~ (v54 = 0) | v58 = v53)))) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] : (v52 = v50 |  ~ (tptp_update3(v49, v47, v48, v50) = v51) |  ~ (a_select3(v51, v45, v46) = v52) |  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] : ((v58 = 0 & v57 = 0 & v56 = 0 & v55 = 0 &  ~ (v59 = v50) & a_select3(v49, v53, v54) = v59 & leq(v54, v48) = 0 & leq(v53, v47) = 0 & leq(n0, v54) = 0 & leq(n0, v53) = 0) | (leq(v46, v48) = v56 & leq(v45, v47) = v54 & leq(n0, v46) = v55 & leq(n0, v45) = v53 & ( ~ (v56 = 0) |  ~ (v55 = 0) |  ~ (v54 = 0) |  ~ (v53 = 0))))) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] : (v52 = v45 | v48 = v46 |  ~ (tptp_update3(v49, v46, v47, v50) = v51) |  ~ (a_select3(v51, v48, v47) = v52) |  ? [v53] : ( ~ (v53 = v45) & a_select3(v49, v48, v47) = v53)) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] :  ! [v52] : ( ~ (tptp_update3(v46, v49, v49, v50) = v51) |  ~ (a_select3(v51, v47, v48) = v52) |  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] :  ? [v60] : ((v58 = 0 & v57 = 0 & v56 = 0 & v55 = 0 &  ~ (v60 = v59) & a_select3(v46, v54, v53) = v60 & a_select3(v46, v53, v54) = v59 & leq(v54, v45) = 0 & leq(v53, v45) = 0 & leq(n0, v54) = 0 & leq(n0, v53) = 0) | (a_select3(v51, v48, v47) = v59 & leq(v49, v45) = v58 & leq(v48, v45) = v56 & leq(v47, v45) = v54 & leq(n0, v49) = v57 & leq(n0, v48) = v55 & leq(n0, v47) = v53 & ( ~ (v58 = 0) |  ~ (v57 = 0) |  ~ (v56 = 0) |  ~ (v55 = 0) |  ~ (v54 = 0) |  ~ (v53 = 0) | v59 = v52)))) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] : (v51 = v48 |  ~ (dim(v46, v47) = v49) |  ~ (tptp_const_array1(v49, v48) = v50) |  ~ (a_select2(v50, v45) = v51) |  ? [v52] :  ? [v53] : (leq(v46, v45) = v52 & leq(v45, v47) = v53 & ( ~ (v53 = 0) |  ~ (v52 = 0)))) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] : (v51 = v45 | v47 = v46 |  ~ (tptp_update2(v48, v46, v49) = v50) |  ~ (a_select2(v50, v47) = v51) |  ? [v52] : ( ~ (v52 = v45) & a_select2(v48, v47) = v52)) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] : ( ~ (tptp_msub(v46, v47) = v48) |  ~ (a_select3(v48, v49, v50) = v51) |  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] : ((v57 = 0 & v56 = 0 & v55 = 0 & v54 = 0 &  ~ (v59 = v58) & a_select3(v47, v53, v52) = v59 & a_select3(v47, v52, v53) = v58 & leq(v53, v45) = 0 & leq(v52, v45) = 0 & leq(n0, v53) = 0 & leq(n0, v52) = 0) | (v57 = 0 & v56 = 0 & v55 = 0 & v54 = 0 &  ~ (v59 = v58) & a_select3(v46, v53, v52) = v59 & a_select3(v46, v52, v53) = v58 & leq(v53, v45) = 0 & leq(v52, v45) = 0 & leq(n0, v53) = 0 & leq(n0, v52) = 0) | (a_select3(v48, v50, v49) = v56 & leq(v50, v45) = v55 & leq(v49, v45) = v53 & leq(n0, v50) = v54 & leq(n0, v49) = v52 & ( ~ (v55 = 0) |  ~ (v54 = 0) |  ~ (v53 = 0) |  ~ (v52 = 0) | v56 = v51)))) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] :  ! [v51] : ( ~ (tptp_madd(v46, v47) = v48) |  ~ (a_select3(v48, v49, v50) = v51) |  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] :  ? [v59] : ((v57 = 0 & v56 = 0 & v55 = 0 & v54 = 0 &  ~ (v59 = v58) & a_select3(v47, v53, v52) = v59 & a_select3(v47, v52, v53) = v58 & leq(v53, v45) = 0 & leq(v52, v45) = 0 & leq(n0, v53) = 0 & leq(n0, v52) = 0) | (v57 = 0 & v56 = 0 & v55 = 0 & v54 = 0 &  ~ (v59 = v58) & a_select3(v46, v53, v52) = v59 & a_select3(v46, v52, v53) = v58 & leq(v53, v45) = 0 & leq(v52, v45) = 0 & leq(n0, v53) = 0 & leq(n0, v52) = 0) | (a_select3(v48, v50, v49) = v56 & leq(v50, v45) = v55 & leq(v49, v45) = v53 & leq(n0, v50) = v54 & leq(n0, v49) = v52 & ( ~ (v55 = 0) |  ~ (v54 = 0) |  ~ (v53 = 0) |  ~ (v52 = 0) | v56 = v51)))) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : (v50 = v48 |  ~ (tptp_update2(v47, v46, v48) = v49) |  ~ (a_select2(v49, v45) = v50) |  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] : ((v53 = 0 & v52 = 0 &  ~ (v54 = v48) & a_select2(v47, v51) = v54 & leq(v51, v46) = 0 & leq(n0, v51) = 0) | (leq(v45, v46) = v52 & leq(n0, v45) = v51 & ( ~ (v52 = 0) |  ~ (v51 = 0))))) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : (v50 = v48 |  ~ (tptp_update3(v45, v46, v47, v48) = v49) |  ~ (a_select3(v49, v46, v47) = v50)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : (v46 = v45 |  ~ (tptp_update3(v50, v49, v48, v47) = v46) |  ~ (tptp_update3(v50, v49, v48, v47) = v45)) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : ( ~ (inv(v46) = v47) |  ~ (a_select3(v47, v48, v49) = v50) |  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] : ((v56 = 0 & v55 = 0 & v54 = 0 & v53 = 0 &  ~ (v58 = v57) & a_select3(v46, v52, v51) = v58 & a_select3(v46, v51, v52) = v57 & leq(v52, v45) = 0 & leq(v51, v45) = 0 & leq(n0, v52) = 0 & leq(n0, v51) = 0) | (a_select3(v47, v49, v48) = v55 & leq(v49, v45) = v54 & leq(v48, v45) = v52 & leq(n0, v49) = v53 & leq(n0, v48) = v51 & ( ~ (v54 = 0) |  ~ (v53 = 0) |  ~ (v52 = 0) |  ~ (v51 = 0) | v55 = v50)))) &  ? [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] :  ! [v50] : ( ~ (trans(v46) = v47) |  ~ (a_select3(v47, v48, v49) = v50) |  ? [v51] :  ? [v52] :  ? [v53] :  ? [v54] :  ? [v55] :  ? [v56] :  ? [v57] :  ? [v58] : ((v56 = 0 & v55 = 0 & v54 = 0 & v53 = 0 &  ~ (v58 = v57) & a_select3(v46, v52, v51) = v58 & a_select3(v46, v51, v52) = v57 & leq(v52, v45) = 0 & leq(v51, v45) = 0 & leq(n0, v52) = 0 & leq(n0, v51) = 0) | (a_select3(v47, v49, v48) = v55 & leq(v49, v45) = v54 & leq(v48, v45) = v52 & leq(n0, v49) = v53 & leq(n0, v48) = v51 & ( ~ (v54 = 0) |  ~ (v53 = 0) |  ~ (v52 = 0) |  ~ (v51 = 0) | v55 = v50)))) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = v47 |  ~ (tptp_update2(v45, v46, v47) = v48) |  ~ (a_select2(v48, v46) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v49 = 0 |  ~ (succ(v46) = v48) |  ~ (succ(v45) = v47) |  ~ (leq(v47, v48) = v49) |  ? [v50] : ( ~ (v50 = 0) & leq(v45, v46) = v50)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v46 = v45 |  ~ (tptp_update2(v49, v48, v47) = v46) |  ~ (tptp_update2(v49, v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v46 = v45 |  ~ (sum(v49, v48, v47) = v46) |  ~ (sum(v49, v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v46 = v45 |  ~ (tptp_const_array2(v49, v48, v47) = v46) |  ~ (tptp_const_array2(v49, v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] :  ! [v49] : (v46 = v45 |  ~ (a_select3(v49, v48, v47) = v46) |  ~ (a_select3(v49, v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v48 = 0 |  ~ (uniform_int_rnd(v46, v45) = v47) |  ~ (leq(v47, v45) = v48) |  ? [v49] : ( ~ (v49 = 0) & leq(n0, v45) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v48 = 0 |  ~ (succ(v46) = v47) |  ~ (leq(v45, v47) = v48) |  ? [v49] : ( ~ (v49 = 0) & leq(v45, v46) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v48 = 0 |  ~ (succ(v46) = v47) |  ~ (gt(v47, v45) = v48) |  ? [v49] : ( ~ (v49 = 0) & leq(v45, v46) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v48 = 0 |  ~ (pred(v46) = v47) |  ~ (leq(v45, v47) = v48) |  ? [v49] : ( ~ (v49 = 0) & gt(v46, v45) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v48 = 0 |  ~ (leq(v45, v47) = v48) |  ~ (leq(v45, v46) = 0) |  ? [v49] : ( ~ (v49 = 0) & leq(v46, v47) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v48 = 0 |  ~ (gt(v45, v47) = v48) |  ~ (gt(v45, v46) = 0) |  ? [v49] : ( ~ (v49 = 0) & gt(v46, v47) = v49)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (minus(v48, v47) = v46) |  ~ (minus(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (plus(v48, v47) = v46) |  ~ (plus(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (tptp_mmul(v48, v47) = v46) |  ~ (tptp_mmul(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (tptp_msub(v48, v47) = v46) |  ~ (tptp_msub(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (tptp_madd(v48, v47) = v46) |  ~ (tptp_madd(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (dim(v48, v47) = v46) |  ~ (dim(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (tptp_const_array1(v48, v47) = v46) |  ~ (tptp_const_array1(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (a_select2(v48, v47) = v46) |  ~ (a_select2(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (uniform_int_rnd(v48, v47) = v46) |  ~ (uniform_int_rnd(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (geq(v48, v47) = v46) |  ~ (geq(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (lt(v48, v47) = v46) |  ~ (lt(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (leq(v48, v47) = v46) |  ~ (leq(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : (v46 = v45 |  ~ (gt(v48, v47) = v46) |  ~ (gt(v48, v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] :  ! [v48] : ( ~ (succ(v46) = v48) |  ~ (succ(v45) = v47) |  ~ (leq(v47, v48) = 0) | leq(v45, v46) = 0) &  ! [v45] :  ! [v46] :  ! [v47] : (v47 = 0 | v46 = v45 |  ~ (gt(v46, v45) = v47) |  ? [v48] : ( ~ (v48 = 0) & leq(v45, v46) = v48)) &  ! [v45] :  ! [v46] :  ! [v47] : (v47 = 0 | v46 = v45 |  ~ (gt(v45, v46) = v47) | gt(v46, v45) = 0) &  ! [v45] :  ! [v46] :  ! [v47] : (v47 = 0 |  ~ (succ(v45) = v46) |  ~ (gt(v46, v45) = v47)) &  ! [v45] :  ! [v46] :  ! [v47] : (v47 = 0 |  ~ (geq(v45, v46) = v47) |  ? [v48] : ( ~ (v48 = 0) & leq(v46, v45) = v48)) &  ! [v45] :  ! [v46] :  ! [v47] : (v47 = 0 |  ~ (lt(v45, v46) = v47) |  ? [v48] : ( ~ (v48 = 0) & gt(v46, v45) = v48)) &  ! [v45] :  ! [v46] :  ! [v47] : (v46 = v45 |  ~ (inv(v47) = v46) |  ~ (inv(v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] : (v46 = v45 |  ~ (trans(v47) = v46) |  ~ (trans(v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] : (v46 = v45 |  ~ (succ(v47) = v46) |  ~ (succ(v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] : (v46 = v45 |  ~ (pred(v47) = v46) |  ~ (pred(v47) = v45)) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (minus(v45, v46) = v47) |  ~ (leq(v47, v45) = 0) | leq(n0, v46) = 0) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (uniform_int_rnd(v46, v45) = v47) |  ? [v48] :  ? [v49] : (leq(n0, v47) = v49 & leq(n0, v45) = v48 & ( ~ (v48 = 0) | v49 = 0))) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (succ(v46) = v47) |  ~ (gt(v47, v45) = 0) | leq(v45, v46) = 0) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (succ(v45) = v47) |  ~ (leq(v47, v46) = 0) | gt(v46, v45) = 0) &  ! [v45] :  ! [v46] :  ! [v47] : ( ~ (pred(v46) = v47) |  ~ (leq(v45, v47) = 0) | gt(v46, v45) = 0) &  ! [v45] :  ! [v46] : (v46 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v45) = v46)) &  ! [v45] :  ! [v46] : (v46 = n0 |  ~ (sum(n0, tptp_minus_1, v45) = v46)) &  ! [v45] :  ! [v46] : (v46 = 0 |  ~ (leq(v45, v45) = v46)) &  ! [v45] :  ! [v46] : ( ~ (minus(v45, n1) = v46) | pred(v45) = v46) &  ! [v45] :  ! [v46] : ( ~ (plus(v45, n5) = v46) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (succ(v50) = v46 & succ(v49) = v50 & succ(v48) = v49 & succ(v47) = v48 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(v45, n4) = v46) |  ? [v47] :  ? [v48] :  ? [v49] : (succ(v49) = v46 & succ(v48) = v49 & succ(v47) = v48 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(v45, n3) = v46) |  ? [v47] :  ? [v48] : (succ(v48) = v46 & succ(v47) = v48 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(v45, n2) = v46) |  ? [v47] : (succ(v47) = v46 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(v45, n1) = v46) | succ(v45) = v46) &  ! [v45] :  ! [v46] : ( ~ (plus(n5, v45) = v46) |  ? [v47] :  ? [v48] :  ? [v49] :  ? [v50] : (succ(v50) = v46 & succ(v49) = v50 & succ(v48) = v49 & succ(v47) = v48 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(n4, v45) = v46) |  ? [v47] :  ? [v48] :  ? [v49] : (succ(v49) = v46 & succ(v48) = v49 & succ(v47) = v48 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(n3, v45) = v46) |  ? [v47] :  ? [v48] : (succ(v48) = v46 & succ(v47) = v48 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(n2, v45) = v46) |  ? [v47] : (succ(v47) = v46 & succ(v45) = v47)) &  ! [v45] :  ! [v46] : ( ~ (plus(n1, v45) = v46) | succ(v45) = v46) &  ! [v45] :  ! [v46] : ( ~ (succ(v45) = v46) | pred(v46) = v45) &  ! [v45] :  ! [v46] : ( ~ (pred(v45) = v46) | succ(v46) = v45) &  ! [v45] :  ! [v46] : ( ~ (geq(v45, v46) = 0) | leq(v46, v45) = 0) &  ! [v45] :  ! [v46] : ( ~ (lt(v45, v46) = 0) | gt(v46, v45) = 0) &  ! [v45] :  ! [v46] : ( ~ (gt(v46, v45) = 0) | leq(v45, v46) = 0) &  ! [v45] : (v45 = n6 | v45 = n5 | v45 = n4 | v45 = n3 | v45 = n2 | v45 = n1 | v45 = n0 |  ~ (leq(v45, n6) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(n0, v45) = v46)) &  ! [v45] : (v45 = n5 | v45 = n4 | v45 = n3 | v45 = n2 | v45 = n1 | v45 = n0 |  ~ (leq(v45, n5) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(n0, v45) = v46)) &  ! [v45] : (v45 = n4 | v45 = n3 | v45 = n2 | v45 = n1 | v45 = n0 |  ~ (leq(v45, n4) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(n0, v45) = v46)) &  ! [v45] : (v45 = n3 | v45 = n2 | v45 = n1 | v45 = n0 |  ~ (leq(v45, n3) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(n0, v45) = v46)) &  ! [v45] : (v45 = n2 | v45 = n1 | v45 = n0 |  ~ (leq(v45, n2) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(n0, v45) = v46)) &  ! [v45] : (v45 = n1 | v45 = n0 |  ~ (leq(v45, n1) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(n0, v45) = v46)) &  ! [v45] : (v45 = n0 |  ~ (leq(n0, v45) = 0) |  ? [v46] : ( ~ (v46 = 0) & leq(v45, n0) = v46)) &  ! [v45] :  ~ (gt(v45, v45) = 0) & ( ~ (v28 = 0) |  ~ (v27 = 0) |  ~ (v26 = 0) |  ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) |  ~ (v21 = 0) |  ~ (v20 = 0) |  ~ (v19 = 0) |  ~ (v18 = 0) |  ~ (v17 = 0) |  ~ (v16 = 0) |  ~ (v15 = 0) |  ~ (v14 = 0) |  ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 = 0) | (v32 = 0 & v31 = 0 & v30 = 0 & v29 = 0 &  ~ (v33 = 0)) | (v31 = 0 & v29 = 0 &  ~ (v38 = 0))))
% 41.39/11.10  | 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, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44 yields:
% 41.39/11.10  | (1)  ~ (def = use) & minus(n6, n1) = all_0_33_33 & minus(n1000, n1) = all_0_43_43 & minus(n4, n1) = all_0_44_44 & a_select2(sigma, pv23) = all_0_2_2 & succ(n5) = n6 & succ(n4) = n5 & succ(n3) = n4 & succ(n2) = n3 & succ(n1) = n2 & succ(tptp_minus_1) = n0 & succ(n0) = n1 & geq(all_0_33_33, n0) = all_0_0_0 & geq(all_0_43_43, n0) = 0 & geq(all_0_44_44, n0) = 0 & geq(n7, n0) = 0 & leq(pv23, all_0_33_33) = all_0_3_3 & leq(pv32, all_0_33_33) = all_0_7_7 & leq(pv31, all_0_33_33) = all_0_8_8 & leq(pv21, all_0_33_33) = all_0_12_12 & leq(pv21, n5) = all_0_11_11 & leq(pv5, all_0_43_43) = all_0_6_6 & leq(pv5, n588) = all_0_13_13 & leq(n6, n7) = all_0_17_17 & leq(n7, n7) = all_0_16_16 & leq(n5, all_0_33_33) = all_0_18_18 & leq(n5, n7) = all_0_19_19 & leq(n4, all_0_33_33) = all_0_20_20 & leq(n4, n7) = all_0_21_21 & leq(n3, all_0_33_33) = all_0_22_22 & leq(n3, all_0_44_44) = all_0_23_23 & leq(n3, n7) = all_0_24_24 & leq(n2, all_0_33_33) = all_0_25_25 & leq(n2, all_0_44_44) = all_0_26_26 & leq(n2, n7) = all_0_27_27 & leq(n1, all_0_33_33) = all_0_28_28 & leq(n1, all_0_44_44) = all_0_29_29 & leq(n1, n7) = all_0_30_30 & leq(n0, all_0_2_2) = all_0_1_1 & leq(n0, all_0_33_33) = all_0_32_32 & leq(n0, all_0_43_43) = all_0_31_31 & leq(n0, all_0_44_44) = all_0_34_34 & leq(n0, pv23) = all_0_4_4 & leq(n0, pv32) = all_0_9_9 & leq(n0, pv31) = all_0_10_10 & leq(n0, pv21) = all_0_14_14 & leq(n0, pv5) = all_0_15_15 & leq(n0, n6) = all_0_36_36 & leq(n0, n7) = all_0_35_35 & leq(n0, n5) = all_0_37_37 & leq(n0, n4) = all_0_38_38 & leq(n0, n3) = all_0_39_39 & leq(n0, n2) = all_0_40_40 & leq(n0, n1) = all_0_41_41 & leq(n0, n0) = all_0_42_42 & gt(n588, n6) = 0 & gt(n588, n7) = 0 & gt(n588, n5) = 0 & gt(n588, n4) = 0 & gt(n588, n3) = 0 & gt(n588, n2) = 0 & gt(n588, n1) = 0 & gt(n588, tptp_minus_1) = 0 & gt(n588, n0) = 0 & gt(pv5, n0) = all_0_5_5 & gt(n6, n5) = 0 & gt(n6, n4) = 0 & gt(n6, n3) = 0 & gt(n6, n2) = 0 & gt(n6, n1) = 0 & gt(n6, tptp_minus_1) = 0 & gt(n6, n0) = 0 & gt(n7, n6) = 0 & gt(n7, n5) = 0 & gt(n7, n4) = 0 & gt(n7, n3) = 0 & gt(n7, n2) = 0 & gt(n7, n1) = 0 & gt(n7, tptp_minus_1) = 0 & gt(n7, n0) = 0 & gt(n1000, n588) = 0 & gt(n1000, n6) = 0 & gt(n1000, n7) = 0 & gt(n1000, n5) = 0 & gt(n1000, n4) = 0 & gt(n1000, n3) = 0 & gt(n1000, n2) = 0 & gt(n1000, n1) = 0 & gt(n1000, tptp_minus_1) = 0 & gt(n1000, n0) = 0 & gt(n5, n4) = 0 & gt(n5, n3) = 0 & gt(n5, n2) = 0 & gt(n5, n1) = 0 & gt(n5, tptp_minus_1) = 0 & gt(n5, n0) = 0 & gt(n4, n3) = 0 & gt(n4, n2) = 0 & gt(n4, n1) = 0 & gt(n4, tptp_minus_1) = 0 & gt(n4, n0) = 0 & gt(n3, n2) = 0 & gt(n3, n1) = 0 & gt(n3, tptp_minus_1) = 0 & gt(n3, n0) = 0 & gt(n2, n1) = 0 & gt(n2, tptp_minus_1) = 0 & gt(n2, n0) = 0 & gt(n1, tptp_minus_1) = 0 & gt(n1, n0) = 0 & gt(n0, tptp_minus_1) = 0 & true &  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (tptp_mmul(v14, v15) = v16) |  ~ (tptp_mmul(v7, v11) = v12) |  ~ (tptp_mmul(v6, v12) = v13) |  ~ (tptp_mmul(v5, v8) = v9) |  ~ (tptp_mmul(v4, v9) = v10) |  ~ (tptp_mmul(v3, v16) = v17) |  ~ (tptp_madd(v10, v13) = v14) |  ~ (tptp_madd(v2, v17) = v18) |  ~ (trans(v6) = v11) |  ~ (trans(v4) = v8) |  ~ (trans(v3) = v15) |  ~ (a_select3(v18, v19, v20) = v21) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] : ((v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v7, v23, v22) = v29 & a_select3(v7, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v5, v23, v22) = v29 & a_select3(v5, v22, v23) = v28 & leq(v23, v1) = 0 & leq(v22, v1) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (v27 = 0 & v26 = 0 & v25 = 0 & v24 = 0 &  ~ (v29 = v28) & a_select3(v2, v23, v22) = v29 & a_select3(v2, v22, v23) = v28 & leq(v23, v0) = 0 & leq(v22, v0) = 0 & leq(n0, v23) = 0 & leq(n0, v22) = 0) | (a_select3(v18, v20, v19) = v26 & leq(v20, v0) = v25 & leq(v19, v0) = v23 & leq(n0, v20) = v24 & leq(n0, v19) = v22 & ( ~ (v25 = 0) |  ~ (v24 = 0) |  ~ (v23 = 0) |  ~ (v22 = 0) | v26 = v21)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v6 |  ~ (tptp_const_array2(v7, v8, v6) = v9) |  ~ (a_select3(v9, v0, v3) = v10) |  ~ (dim(v4, v5) = v8) |  ~ (dim(v1, v2) = v7) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (leq(v4, v3) = v13 & leq(v3, v5) = v14 & leq(v1, v0) = v11 & leq(v0, v2) = v12 & ( ~ (v14 = 0) |  ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0)))) &  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (tptp_mmul(v3, v4) = v5) |  ~ (tptp_mmul(v2, v5) = v6) |  ~ (trans(v2) = v4) |  ~ (a_select3(v6, v7, v8) = v9) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 &  ~ (v17 = v16) & a_select3(v3, v11, v10) = v17 & a_select3(v3, v10, v11) = v16 & leq(v11, v1) = 0 & leq(v10, v1) = 0 & leq(n0, v11) = 0 & leq(n0, v10) = 0) | (a_select3(v6, v8, v7) = v14 & leq(v8, v0) = v13 & leq(v7, v0) = v11 & leq(n0, v8) = v12 & leq(n0, v7) = v10 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) | v14 = v9)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (tptp_mmul(v2, v3) = v4) |  ~ (tptp_mmul(v1, v4) = v5) |  ~ (trans(v1) = v3) |  ~ (a_select3(v5, v6, v7) = v8) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : ((v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 &  ~ (v16 = v15) & a_select3(v2, v10, v9) = v16 & a_select3(v2, v9, v10) = v15 & leq(v10, v0) = 0 & leq(v9, v0) = 0 & leq(n0, v10) = 0 & leq(n0, v9) = 0) | (a_select3(v5, v7, v6) = v13 & leq(v7, v0) = v12 & leq(v6, v0) = v10 & leq(n0, v7) = v11 & leq(n0, v6) = v9 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) | v13 = v8)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v5 |  ~ (tptp_update3(v4, v2, v3, v5) = v6) |  ~ (a_select3(v6, v0, v1) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 &  ~ (v14 = v5) & a_select3(v4, v8, v9) = v14 & leq(v9, v3) = 0 & leq(v8, v2) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (leq(v1, v3) = v11 & leq(v0, v2) = v9 & leq(n0, v1) = v10 & leq(n0, v0) = v8 & ( ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0))))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = v0 | v3 = v1 |  ~ (tptp_update3(v4, v1, v2, v5) = v6) |  ~ (a_select3(v6, v3, v2) = v7) |  ? [v8] : ( ~ (v8 = v0) & a_select3(v4, v3, v2) = v8)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (tptp_update3(v1, v4, v4, v5) = v6) |  ~ (a_select3(v6, v2, v3) = v7) |  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 &  ~ (v15 = v14) & a_select3(v1, v9, v8) = v15 & a_select3(v1, v8, v9) = v14 & leq(v9, v0) = 0 & leq(v8, v0) = 0 & leq(n0, v9) = 0 & leq(n0, v8) = 0) | (a_select3(v6, v3, v2) = v14 & leq(v4, v0) = v13 & leq(v3, v0) = v11 & leq(v2, v0) = v9 & leq(n0, v4) = v12 & leq(n0, v3) = v10 & leq(n0, v2) = v8 & ( ~ (v13 = 0) |  ~ (v12 = 0) |  ~ (v11 = 0) |  ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) | v14 = v7)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v3 |  ~ (dim(v1, v2) = v4) |  ~ (tptp_const_array1(v4, v3) = v5) |  ~ (a_select2(v5, v0) = v6) |  ? [v7] :  ? [v8] : (leq(v1, v0) = v7 & leq(v0, v2) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v0 | v2 = v1 |  ~ (tptp_update2(v3, v1, v4) = v5) |  ~ (a_select2(v5, v2) = v6) |  ? [v7] : ( ~ (v7 = v0) & a_select2(v3, v2) = v7)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (tptp_msub(v1, v2) = v3) |  ~ (a_select3(v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v11 = v6)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (tptp_madd(v1, v2) = v3) |  ~ (a_select3(v3, v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v2, v8, v7) = v14 & a_select3(v2, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 &  ~ (v14 = v13) & a_select3(v1, v8, v7) = v14 & a_select3(v1, v7, v8) = v13 & leq(v8, v0) = 0 & leq(v7, v0) = 0 & leq(n0, v8) = 0 & leq(n0, v7) = 0) | (a_select3(v3, v5, v4) = v11 & leq(v5, v0) = v10 & leq(v4, v0) = v8 & leq(n0, v5) = v9 & leq(n0, v4) = v7 & ( ~ (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) | v11 = v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update2(v2, v1, v3) = v4) |  ~ (a_select2(v4, v0) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v8 = 0 & v7 = 0 &  ~ (v9 = v3) & a_select2(v2, v6) = v9 & leq(v6, v1) = 0 & leq(n0, v6) = 0) | (leq(v0, v1) = v7 & leq(n0, v0) = v6 & ( ~ (v7 = 0) |  ~ (v6 = 0))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update3(v0, v1, v2, v3) = v4) |  ~ (a_select3(v4, v1, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (tptp_update3(v5, v4, v3, v2) = v1) |  ~ (tptp_update3(v5, v4, v3, v2) = v0)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (inv(v1) = v2) |  ~ (a_select3(v2, v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) | v10 = v5)))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (trans(v1) = v2) |  ~ (a_select3(v2, v3, v4) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 &  ~ (v13 = v12) & a_select3(v1, v7, v6) = v13 & a_select3(v1, v6, v7) = v12 & leq(v7, v0) = 0 & leq(v6, v0) = 0 & leq(n0, v7) = 0 & leq(n0, v6) = 0) | (a_select3(v2, v4, v3) = v10 & leq(v4, v0) = v9 & leq(v3, v0) = v7 & leq(n0, v4) = v8 & leq(n0, v3) = v6 & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) | v10 = v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (tptp_update2(v0, v1, v2) = v3) |  ~ (a_select2(v3, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_update2(v4, v3, v2) = v1) |  ~ (tptp_update2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (sum(v4, v3, v2) = v1) |  ~ (sum(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_const_array2(v4, v3, v2) = v1) |  ~ (tptp_const_array2(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (a_select3(v4, v3, v2) = v1) |  ~ (a_select3(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (uniform_int_rnd(v1, v0) = v2) |  ~ (leq(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (gt(v0, v2) = v3) |  ~ (gt(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (plus(v3, v2) = v1) |  ~ (plus(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_mmul(v3, v2) = v1) |  ~ (tptp_mmul(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_msub(v3, v2) = v1) |  ~ (tptp_msub(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_madd(v3, v2) = v1) |  ~ (tptp_madd(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (dim(v3, v2) = v1) |  ~ (dim(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_const_array1(v3, v2) = v1) |  ~ (tptp_const_array1(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (a_select2(v3, v2) = v1) |  ~ (a_select2(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (uniform_int_rnd(v3, v2) = v1) |  ~ (uniform_int_rnd(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lt(v3, v2) = v1) |  ~ (lt(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (gt(v3, v2) = v1) |  ~ (gt(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (gt(v1, v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (lt(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inv(v2) = v1) |  ~ (inv(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (trans(v2) = v1) |  ~ (trans(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pred(v2) = v1) |  ~ (pred(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (minus(v0, v1) = v2) |  ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) |  ? [v3] :  ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v2) |  ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0) &  ! [v0] :  ! [v1] : (v1 = 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 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n6) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1)) &  ! [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_16_16 = 0) |  ~ (all_0_17_17 = 0) |  ~ (all_0_18_18 = 0) |  ~ (all_0_19_19 = 0) |  ~ (all_0_20_20 = 0) |  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0)))
% 41.80/11.13  |
% 41.80/11.14  | Applying alpha-rule on (1) yields:
% 41.80/11.14  | (2) leq(n3, all_0_44_44) = all_0_23_23
% 41.80/11.14  | (3) gt(n6, n0) = 0
% 41.80/11.14  | (4) gt(n3, n1) = 0
% 41.80/11.14  | (5) leq(n0, pv21) = all_0_14_14
% 41.80/11.14  | (6) gt(n2, n1) = 0
% 41.80/11.14  | (7)  ! [v0] :  ~ (gt(v0, v0) = 0)
% 41.80/11.14  | (8) gt(n1000, n0) = 0
% 41.80/11.14  | (9) leq(n0, all_0_44_44) = all_0_34_34
% 41.80/11.14  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0))
% 41.80/11.14  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (sum(v4, v3, v2) = v1) |  ~ (sum(v4, v3, v2) = v0))
% 41.80/11.14  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v3 |  ~ (tptp_update3(v0, v1, v2, v3) = v4) |  ~ (a_select3(v4, v1, v2) = v5))
% 41.80/11.14  | (13) leq(n5, n7) = all_0_19_19
% 41.80/11.14  | (14) leq(n2, n7) = all_0_27_27
% 41.80/11.14  | (15) true
% 41.80/11.14  | (16) gt(n4, n3) = 0
% 41.80/11.14  | (17) geq(all_0_44_44, n0) = 0
% 41.80/11.14  | (18)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (trans(v2) = v1) |  ~ (trans(v2) = v0))
% 41.80/11.14  | (19) gt(n1000, n5) = 0
% 41.80/11.14  | (20)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = 0) | leq(v0, v1) = 0)
% 41.80/11.14  | (21) gt(n5, n0) = 0
% 41.80/11.14  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (a_select2(v3, v2) = v1) |  ~ (a_select2(v3, v2) = v0))
% 41.80/11.14  | (23) gt(n1000, n3) = 0
% 41.80/11.14  | (24) gt(n3, n0) = 0
% 41.80/11.14  | (25) leq(n2, all_0_44_44) = all_0_26_26
% 41.80/11.14  | (26)  ! [v0] : (v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n2) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 41.80/11.14  | (27)  ! [v0] :  ! [v1] : ( ~ (plus(n2, v0) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 41.80/11.14  | (28) gt(n1000, tptp_minus_1) = 0
% 41.80/11.14  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lt(v3, v2) = v1) |  ~ (lt(v3, v2) = v0))
% 41.80/11.14  | (30)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n2) = v1) |  ? [v2] : (succ(v2) = v1 & succ(v0) = v2))
% 41.80/11.14  | (31)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (inv(v2) = v1) |  ~ (inv(v2) = v0))
% 41.80/11.14  | (32) leq(n3, all_0_33_33) = all_0_22_22
% 41.80/11.14  | (33) geq(n7, n0) = 0
% 41.80/11.14  | (34) minus(n6, n1) = all_0_33_33
% 41.80/11.14  | (35) geq(all_0_43_43, n0) = 0
% 41.80/11.14  | (36) leq(n0, all_0_43_43) = all_0_31_31
% 41.80/11.14  | (37) leq(n3, n7) = all_0_24_24
% 41.80/11.14  | (38) gt(n4, n2) = 0
% 41.80/11.14  | (39) gt(n1, tptp_minus_1) = 0
% 41.80/11.14  | (40)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v1, v0) = v3))
% 41.80/11.14  | (41) leq(n0, all_0_33_33) = all_0_32_32
% 41.80/11.14  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v2 |  ~ (tptp_update2(v0, v1, v2) = v3) |  ~ (a_select2(v3, v1) = v4))
% 41.80/11.14  | (43) gt(n7, n5) = 0
% 41.80/11.14  | (44)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (succ(v2) = v1) |  ~ (succ(v2) = v0))
% 41.80/11.14  | (45)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (lt(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & gt(v1, v0) = v3))
% 41.80/11.14  | (46) gt(n7, n3) = 0
% 41.80/11.14  | (47) succ(n5) = n6
% 41.80/11.14  | (48)  ! [v0] : (v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n4) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 41.80/11.14  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_const_array2(v4, v3, v2) = v1) |  ~ (tptp_const_array2(v4, v3, v2) = v0))
% 41.80/11.14  | (50) gt(n588, n0) = 0
% 41.80/11.14  | (51)  ! [v0] :  ! [v1] : (v1 = n0 |  ~ (sum(n0, tptp_minus_1, v0) = v1))
% 41.80/11.14  | (52) leq(n0, n5) = all_0_37_37
% 41.80/11.14  | (53) gt(n588, n6) = 0
% 41.80/11.14  | (54) gt(n4, n0) = 0
% 41.80/11.14  | (55)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n3) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 41.80/11.14  | (56) gt(n6, n2) = 0
% 41.80/11.14  | (57)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (leq(v0, v0) = v1))
% 41.80/11.14  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (plus(v3, v2) = v1) |  ~ (plus(v3, v2) = v0))
% 41.80/11.14  | (59)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (uniform_int_rnd(v1, v0) = v2) |  ? [v3] :  ? [v4] : (leq(n0, v2) = v4 & leq(n0, v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 41.80/11.14  | (60) leq(pv5, all_0_43_43) = all_0_6_6
% 41.80/11.14  | (61) gt(n5, n2) = 0
% 41.80/11.14  | (62)  ! [v0] :  ! [v1] : ( ~ (lt(v0, v1) = 0) | gt(v1, v0) = 0)
% 41.80/11.15  | (63) geq(all_0_33_33, n0) = all_0_0_0
% 41.80/11.15  | (64) leq(n0, n7) = all_0_35_35
% 41.80/11.15  | (65)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 41.80/11.15  | (66)  ! [v0] :  ! [v1] : ( ~ (plus(n1, v0) = v1) | succ(v0) = v1)
% 41.80/11.15  | (67) leq(n7, n7) = all_0_16_16
% 41.80/11.15  | (68) gt(n6, n4) = 0
% 41.80/11.15  | (69) leq(pv21, n5) = all_0_11_11
% 41.80/11.15  | (70)  ~ (all_0_16_16 = 0) |  ~ (all_0_17_17 = 0) |  ~ (all_0_18_18 = 0) |  ~ (all_0_19_19 = 0) |  ~ (all_0_20_20 = 0) |  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 41.80/11.15  | (71) gt(n7, n2) = 0
% 41.80/11.15  | (72)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = 0) | gt(v1, v0) = 0)
% 41.80/11.15  | (73) gt(n1000, n4) = 0
% 41.80/11.15  | (74) a_select2(sigma, pv23) = all_0_2_2
% 41.80/11.15  | (75) leq(n0, pv23) = all_0_4_4
% 41.80/11.15  | (76) gt(n7, n1) = 0
% 41.80/11.15  | (77)  ~ (def = use)
% 41.80/11.15  | (78)  ! [v0] :  ! [v1] : ( ~ (pred(v0) = v1) | succ(v1) = v0)
% 41.80/11.15  | (79)  ! [v0] :  ! [v1] : ( ~ (succ(v0) = v1) | pred(v1) = v0)
% 41.80/11.15  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_msub(v3, v2) = v1) |  ~ (tptp_msub(v3, v2) = v0))
% 41.80/11.15  | (81) leq(n0, n3) = all_0_39_39
% 41.80/11.15  | (82) leq(n1, all_0_33_33) = all_0_28_28
% 41.80/11.15  | (83) gt(n2, tptp_minus_1) = 0
% 41.80/11.15  | (84) gt(n6, n5) = 0
% 41.80/11.15  | (85)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (tptp_update2(v4, v3, v2) = v1) |  ~ (tptp_update2(v4, v3, v2) = v0))
% 41.80/11.15  | (86) gt(n1, n0) = 0
% 41.80/11.15  | (87) leq(n0, pv32) = all_0_9_9
% 41.80/11.15  | (88)  ! [v0] : (v0 = n6 | v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n6) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 41.80/11.15  | (89) gt(n1000, n2) = 0
% 41.80/11.15  | (90)  ! [v0] :  ! [v1] : ( ~ (geq(v0, v1) = 0) | leq(v1, v0) = 0)
% 41.80/11.15  | (91) leq(n5, all_0_33_33) = all_0_18_18
% 41.80/11.15  | (92) leq(n0, n2) = all_0_40_40
% 41.80/11.15  | (93) gt(n588, n2) = 0
% 41.80/11.15  | (94) gt(n1000, n588) = 0
% 41.80/11.15  | (95) gt(n3, tptp_minus_1) = 0
% 41.80/11.15  | (96) gt(n588, tptp_minus_1) = 0
% 41.80/11.15  | (97)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (gt(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 41.80/11.15  | (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))))
% 41.80/11.15  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_mmul(v3, v2) = v1) |  ~ (tptp_mmul(v3, v2) = v0))
% 41.80/11.15  | (100) gt(n0, tptp_minus_1) = 0
% 41.80/11.15  | (101)  ? [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))))
% 41.80/11.15  | (102)  ? [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))))
% 41.80/11.16  | (103)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (gt(v0, v1) = v2) | gt(v1, v0) = 0)
% 41.80/11.16  | (104) gt(n1000, n1) = 0
% 41.80/11.16  | (105) leq(n1, n7) = all_0_30_30
% 41.80/11.16  | (106)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pred(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v0) = v4))
% 41.80/11.16  | (107)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (gt(v3, v2) = v1) |  ~ (gt(v3, v2) = v0))
% 41.80/11.16  | (108) leq(pv23, all_0_33_33) = all_0_3_3
% 41.80/11.16  | (109) gt(n588, n1) = 0
% 41.80/11.16  | (110)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n4) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 41.80/11.16  | (111)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (tptp_update3(v5, v4, v3, v2) = v1) |  ~ (tptp_update3(v5, v4, v3, v2) = v0))
% 41.80/11.16  | (112) gt(n5, tptp_minus_1) = 0
% 41.80/11.16  | (113) minus(n4, n1) = all_0_44_44
% 41.80/11.16  | (114) leq(n0, n1) = all_0_41_41
% 41.80/11.16  | (115) gt(n7, n0) = 0
% 41.80/11.16  | (116)  ! [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)))))
% 41.80/11.16  | (117)  ! [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))))
% 41.80/11.16  | (118)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (minus(v0, v1) = v2) |  ~ (leq(v2, v0) = 0) | leq(n0, v1) = 0)
% 41.80/11.16  | (119) leq(pv31, all_0_33_33) = all_0_8_8
% 41.80/11.16  | (120)  ! [v0] :  ! [v1] : ( ~ (gt(v1, v0) = 0) | leq(v0, v1) = 0)
% 41.80/11.16  | (121)  ? [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))
% 41.80/11.16  | (122) gt(n1000, n6) = 0
% 41.80/11.16  | (123) leq(n0, pv31) = all_0_10_10
% 41.80/11.16  | (124)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (dim(v3, v2) = v1) |  ~ (dim(v3, v2) = v0))
% 41.80/11.16  | (125)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (uniform_int_rnd(v3, v2) = v1) |  ~ (uniform_int_rnd(v3, v2) = v0))
% 41.80/11.16  | (126) leq(n0, pv5) = all_0_15_15
% 41.80/11.16  | (127) gt(pv5, n0) = all_0_5_5
% 41.80/11.16  | (128)  ? [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))))
% 41.80/11.16  | (129) gt(n6, tptp_minus_1) = 0
% 41.80/11.16  | (130) gt(n7, n6) = 0
% 41.80/11.16  | (131) succ(tptp_minus_1) = n0
% 41.80/11.16  | (132)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (succ(v0) = v1) |  ~ (gt(v1, v0) = v2))
% 41.80/11.16  | (133) gt(n4, n1) = 0
% 41.80/11.16  | (134)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 41.80/11.16  | (135) succ(n2) = n3
% 41.80/11.16  | (136)  ! [v0] : (v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n3) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 41.80/11.16  | (137) succ(n0) = n1
% 41.80/11.16  | (138)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0))
% 41.80/11.17  | (139)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (a_select3(v4, v3, v2) = v1) |  ~ (a_select3(v4, v3, v2) = v0))
% 41.80/11.17  | (140) gt(n3, n2) = 0
% 41.80/11.17  | (141) gt(n7, tptp_minus_1) = 0
% 41.80/11.17  | (142) gt(n5, n3) = 0
% 41.80/11.17  | (143)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & leq(v0, v1) = v5))
% 41.80/11.17  | (144)  ? [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))))
% 41.80/11.17  | (145) leq(n6, n7) = all_0_17_17
% 41.80/11.17  | (146) gt(n1000, n7) = 0
% 41.80/11.17  | (147)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (succ(v1) = v2) |  ~ (leq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(v0, v1) = v4))
% 41.80/11.17  | (148) leq(n1, all_0_44_44) = all_0_29_29
% 41.80/11.17  | (149) leq(n4, all_0_33_33) = all_0_20_20
% 41.80/11.17  | (150) gt(n5, n4) = 0
% 41.80/11.17  | (151)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (succ(v1) = v3) |  ~ (succ(v0) = v2) |  ~ (leq(v2, v3) = 0) | leq(v0, v1) = 0)
% 41.80/11.17  | (152) succ(n1) = n2
% 41.80/11.17  | (153) gt(n5, n1) = 0
% 41.80/11.17  | (154) leq(n4, n7) = all_0_21_21
% 41.80/11.17  | (155)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pred(v2) = v1) |  ~ (pred(v2) = v0))
% 41.80/11.17  | (156)  ! [v0] :  ! [v1] : ( ~ (plus(n4, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : (succ(v4) = v1 & succ(v3) = v4 & succ(v2) = v3 & succ(v0) = v2))
% 41.80/11.17  | (157)  ! [v0] :  ! [v1] : (v1 = tptp_float_0_0 |  ~ (sum(n0, tptp_minus_1, v0) = v1))
% 41.80/11.17  | (158) leq(pv21, all_0_33_33) = all_0_12_12
% 41.80/11.17  | (159) gt(n6, n3) = 0
% 41.80/11.17  | (160)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0))
% 41.80/11.17  | (161) gt(n6, n1) = 0
% 41.80/11.17  | (162)  ! [v0] : (v0 = n0 |  ~ (leq(n0, v0) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(v0, n0) = v1))
% 41.80/11.17  | (163) minus(n1000, n1) = all_0_43_43
% 41.80/11.17  | (164) gt(n7, n4) = 0
% 41.80/11.17  | (165) leq(n0, n6) = all_0_36_36
% 41.80/11.17  | (166)  ! [v0] :  ! [v1] : ( ~ (plus(v0, n1) = v1) | succ(v0) = v1)
% 41.80/11.17  | (167) gt(n588, n5) = 0
% 41.80/11.17  | (168) gt(n4, tptp_minus_1) = 0
% 41.80/11.17  | (169)  ? [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))))
% 41.80/11.17  | (170)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_const_array1(v3, v2) = v1) |  ~ (tptp_const_array1(v3, v2) = v0))
% 41.80/11.17  | (171)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (uniform_int_rnd(v1, v0) = v2) |  ~ (leq(v2, v0) = v3) |  ? [v4] : ( ~ (v4 = 0) & leq(n0, v0) = v4))
% 41.80/11.17  | (172) leq(pv32, all_0_33_33) = all_0_7_7
% 41.80/11.17  | (173)  ! [v0] : (v0 = n5 | v0 = n4 | v0 = n3 | v0 = n2 | v0 = n1 | v0 = n0 |  ~ (leq(v0, n5) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 41.80/11.17  | (174)  ! [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))
% 41.80/11.17  | (175)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (tptp_madd(v3, v2) = v1) |  ~ (tptp_madd(v3, v2) = v0))
% 41.80/11.17  | (176) gt(n588, n3) = 0
% 41.80/11.17  | (177) leq(pv5, n588) = all_0_13_13
% 41.80/11.17  | (178)  ? [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))))
% 41.80/11.18  | (179) succ(n3) = n4
% 41.80/11.18  | (180) leq(n0, all_0_2_2) = all_0_1_1
% 41.80/11.18  | (181)  ! [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)))))
% 41.80/11.18  | (182)  ! [v0] :  ! [v1] : ( ~ (minus(v0, n1) = v1) | pred(v0) = v1)
% 41.80/11.18  | (183)  ! [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))))
% 41.80/11.18  | (184)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (gt(v0, v2) = v3) |  ~ (gt(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & gt(v1, v2) = v4))
% 41.80/11.18  | (185)  ! [v0] :  ! [v1] : ( ~ (plus(n3, v0) = v1) |  ? [v2] :  ? [v3] : (succ(v3) = v1 & succ(v2) = v3 & succ(v0) = v2))
% 41.80/11.18  | (186) leq(n2, all_0_33_33) = all_0_25_25
% 41.80/11.18  | (187)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (succ(v0) = v2) |  ~ (leq(v2, v1) = 0) | gt(v1, v0) = 0)
% 41.80/11.18  | (188) gt(n588, n4) = 0
% 41.80/11.18  | (189) leq(n0, n4) = all_0_38_38
% 41.80/11.18  | (190) gt(n588, n7) = 0
% 41.80/11.18  | (191)  ? [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))))
% 41.80/11.18  | (192)  ? [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))
% 41.80/11.18  | (193) gt(n2, n0) = 0
% 41.80/11.18  | (194) succ(n4) = n5
% 41.80/11.18  | (195) leq(n0, n0) = all_0_42_42
% 41.80/11.18  | (196)  ! [v0] : (v0 = n1 | v0 = n0 |  ~ (leq(v0, n1) = 0) |  ? [v1] : ( ~ (v1 = 0) & leq(n0, v0) = v1))
% 41.80/11.18  | (197)  ! [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))
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with pv21, n5, all_0_11_11, all_0_12_12 and discharging atoms leq(pv21, n5) = all_0_11_11, yields:
% 41.80/11.18  | (198) all_0_11_11 = all_0_12_12 |  ~ (leq(pv21, n5) = all_0_12_12)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (57) with all_0_16_16, n7 and discharging atoms leq(n7, n7) = all_0_16_16, yields:
% 41.80/11.18  | (199) all_0_16_16 = 0
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n4, all_0_33_33, all_0_20_20, all_0_18_18 and discharging atoms leq(n4, all_0_33_33) = all_0_20_20, yields:
% 41.80/11.18  | (200) all_0_18_18 = all_0_20_20 |  ~ (leq(n4, all_0_33_33) = all_0_18_18)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n1, all_0_44_44, all_0_29_29, all_0_28_28 and discharging atoms leq(n1, all_0_44_44) = all_0_29_29, yields:
% 41.80/11.18  | (201) all_0_28_28 = all_0_29_29 |  ~ (leq(n1, all_0_44_44) = all_0_28_28)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, all_0_33_33, all_0_32_32, all_0_25_25 and discharging atoms leq(n0, all_0_33_33) = all_0_32_32, yields:
% 41.80/11.18  | (202) all_0_25_25 = all_0_32_32 |  ~ (leq(n0, all_0_33_33) = all_0_25_25)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n7, all_0_35_35, all_0_36_36 and discharging atoms leq(n0, n7) = all_0_35_35, yields:
% 41.80/11.18  | (203) all_0_35_35 = all_0_36_36 |  ~ (leq(n0, n7) = all_0_36_36)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n4, all_0_38_38, all_0_37_37 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 41.80/11.18  | (204) all_0_37_37 = all_0_38_38 |  ~ (leq(n0, n4) = all_0_37_37)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n3, all_0_39_39, all_0_37_37 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 41.80/11.18  | (205) all_0_37_37 = all_0_39_39 |  ~ (leq(n0, n3) = all_0_37_37)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n3, all_0_39_39, all_0_38_38 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 41.80/11.18  | (206) all_0_38_38 = all_0_39_39 |  ~ (leq(n0, n3) = all_0_38_38)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n2, all_0_40_40, all_0_39_39 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 41.80/11.18  | (207) all_0_39_39 = all_0_40_40 |  ~ (leq(n0, n2) = all_0_39_39)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n1, all_0_41_41, all_0_37_37 and discharging atoms leq(n0, n1) = all_0_41_41, yields:
% 41.80/11.18  | (208) all_0_37_37 = all_0_41_41 |  ~ (leq(n0, n1) = all_0_37_37)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n1, all_0_41_41, all_0_38_38 and discharging atoms leq(n0, n1) = all_0_41_41, yields:
% 41.80/11.18  | (209) all_0_38_38 = all_0_41_41 |  ~ (leq(n0, n1) = all_0_38_38)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (10) with n0, n1, all_0_41_41, all_0_40_40 and discharging atoms leq(n0, n1) = all_0_41_41, yields:
% 41.80/11.18  | (210) all_0_40_40 = all_0_41_41 |  ~ (leq(n0, n1) = all_0_40_40)
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (57) with all_0_42_42, n0 and discharging atoms leq(n0, n0) = all_0_42_42, yields:
% 41.80/11.18  | (211) all_0_42_42 = 0
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (182) with all_0_33_33, n6 and discharging atoms minus(n6, n1) = all_0_33_33, yields:
% 41.80/11.18  | (212) pred(n6) = all_0_33_33
% 41.80/11.18  |
% 41.80/11.18  | Instantiating formula (182) with all_0_43_43, n1000 and discharging atoms minus(n1000, n1) = all_0_43_43, yields:
% 41.80/11.19  | (213) pred(n1000) = all_0_43_43
% 41.80/11.19  |
% 41.80/11.19  | Instantiating formula (182) with all_0_44_44, n4 and discharging atoms minus(n4, n1) = all_0_44_44, yields:
% 41.80/11.19  | (214) pred(n4) = all_0_44_44
% 41.80/11.19  |
% 41.80/11.19  | Instantiating formula (79) with n6, n5 and discharging atoms succ(n5) = n6, yields:
% 41.80/11.19  | (215) pred(n6) = n5
% 41.80/11.19  |
% 41.80/11.19  | Instantiating formula (79) with n4, n3 and discharging atoms succ(n3) = n4, yields:
% 41.80/11.19  | (216) pred(n4) = n3
% 41.80/11.19  |
% 41.80/11.19  | Instantiating formula (90) with n0, all_0_43_43 and discharging atoms geq(all_0_43_43, n0) = 0, yields:
% 41.80/11.19  | (217) leq(n0, all_0_43_43) = 0
% 41.80/11.19  |
% 41.80/11.19  | Instantiating formula (90) with n0, all_0_44_44 and discharging atoms geq(all_0_44_44, n0) = 0, yields:
% 41.80/11.19  | (218) leq(n0, all_0_44_44) = 0
% 41.80/11.19  |
% 41.80/11.19  | Instantiating formula (134) with all_0_6_6, all_0_43_43, n588, pv5 and discharging atoms leq(pv5, all_0_43_43) = all_0_6_6, yields:
% 41.80/11.19  | (219) all_0_6_6 = 0 |  ~ (leq(pv5, n588) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n588, all_0_43_43) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (187) with n0, all_0_43_43, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 42.11/11.19  | (220)  ~ (leq(n0, all_0_43_43) = 0) | gt(all_0_43_43, tptp_minus_1) = 0
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (187) with n0, all_0_44_44, tptp_minus_1 and discharging atoms succ(tptp_minus_1) = n0, yields:
% 42.11/11.19  | (221)  ~ (leq(n0, all_0_44_44) = 0) | gt(all_0_44_44, tptp_minus_1) = 0
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (143) with all_0_36_36, n6, n0, n5, tptp_minus_1 and discharging atoms succ(n5) = n6, succ(tptp_minus_1) = n0, leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (222) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n5) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (147) with all_0_36_36, n6, n5, n0 and discharging atoms succ(n5) = n6, leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (223) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, n5) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_36_36, n6, all_0_43_43, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (224) all_0_36_36 = 0 |  ~ (leq(n0, all_0_43_43) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n6) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_36_36, n6, all_0_44_44, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (225) all_0_36_36 = 0 |  ~ (leq(n0, all_0_44_44) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n6) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (162) with n6 yields:
% 42.11/11.19  | (226) n6 = n0 |  ~ (leq(n0, n6) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n0) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_36_36, n6, n7, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (227) all_0_36_36 = 0 |  ~ (leq(n0, n7) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n6) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (162) with n7 yields:
% 42.11/11.19  | (228) n7 = n0 |  ~ (leq(n0, n7) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n0) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (143) with all_0_37_37, n5, n0, n4, tptp_minus_1 and discharging atoms succ(n4) = n5, succ(tptp_minus_1) = n0, leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (229) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (147) with all_0_37_37, n5, n4, n0 and discharging atoms succ(n4) = n5, leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (230) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_37_37, n5, all_0_43_43, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (231) all_0_37_37 = 0 |  ~ (leq(n0, all_0_43_43) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n5) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_37_37, n5, all_0_44_44, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (232) all_0_37_37 = 0 |  ~ (leq(n0, all_0_44_44) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n5) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_37_37, n5, n6, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (233) all_0_37_37 = 0 |  ~ (leq(n0, n6) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n5) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_37_37, n5, n7, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (234) all_0_37_37 = 0 |  ~ (leq(n0, n7) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n5) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_36_36, n6, n5, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (235) all_0_36_36 = 0 |  ~ (leq(n0, n5) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n6) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (162) with n5 yields:
% 42.11/11.19  | (236) n5 = n0 |  ~ (leq(n0, n5) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (143) with all_0_38_38, n4, n0, n3, tptp_minus_1 and discharging atoms succ(n3) = n4, succ(tptp_minus_1) = n0, leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (237) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n3) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (147) with all_0_38_38, n4, n3, n0 and discharging atoms succ(n3) = n4, leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (238) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, n3) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_38_38, n4, all_0_43_43, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (239) all_0_38_38 = 0 |  ~ (leq(n0, all_0_43_43) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_38_38, n4, all_0_44_44, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (240) all_0_38_38 = 0 |  ~ (leq(n0, all_0_44_44) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_38_38, n4, n6, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (241) all_0_38_38 = 0 |  ~ (leq(n0, n6) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_38_38, n4, n7, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (242) all_0_38_38 = 0 |  ~ (leq(n0, n7) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_38_38, n4, n5, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.19  | (243) all_0_38_38 = 0 |  ~ (leq(n0, n5) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n4) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_36_36, n6, n4, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.19  | (244) all_0_36_36 = 0 |  ~ (leq(n0, n4) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n6) = v0)
% 42.11/11.19  |
% 42.11/11.19  | Instantiating formula (134) with all_0_37_37, n5, n4, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.19  | (245) all_0_37_37 = 0 |  ~ (leq(n0, n4) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n5) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (162) with n4 yields:
% 42.11/11.20  | (246) n4 = n0 |  ~ (leq(n0, n4) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (143) with all_0_39_39, n3, n0, n2, tptp_minus_1 and discharging atoms succ(n2) = n3, succ(tptp_minus_1) = n0, leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (247) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (147) with all_0_39_39, n3, n2, n0 and discharging atoms succ(n2) = n3, leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (248) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, all_0_43_43, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (249) all_0_39_39 = 0 |  ~ (leq(n0, all_0_43_43) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, all_0_44_44, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (250) all_0_39_39 = 0 |  ~ (leq(n0, all_0_44_44) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, n6, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (251) all_0_39_39 = 0 |  ~ (leq(n0, n6) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, n7, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (252) all_0_39_39 = 0 |  ~ (leq(n0, n7) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, n5, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (253) all_0_39_39 = 0 |  ~ (leq(n0, n5) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, n4, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (254) all_0_39_39 = 0 |  ~ (leq(n0, n4) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_36_36, n6, n3, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.20  | (255) all_0_36_36 = 0 |  ~ (leq(n0, n3) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n6) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_37_37, n5, n3, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.20  | (256) all_0_37_37 = 0 |  ~ (leq(n0, n3) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n5) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_38_38, n4, n3, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.20  | (257) all_0_38_38 = 0 |  ~ (leq(n0, n3) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n4) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (162) with n3 yields:
% 42.11/11.20  | (258) n3 = n0 |  ~ (leq(n0, n3) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (143) with all_0_40_40, n2, n0, n1, tptp_minus_1 and discharging atoms succ(n1) = n2, succ(tptp_minus_1) = n0, leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (259) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n1) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (147) with all_0_40_40, n2, n1, n0 and discharging atoms succ(n1) = n2, leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (260) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n0, n1) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, all_0_43_43, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (261) all_0_40_40 = 0 |  ~ (leq(n0, all_0_43_43) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, all_0_44_44, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (262) all_0_40_40 = 0 |  ~ (leq(n0, all_0_44_44) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, n6, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (263) all_0_40_40 = 0 |  ~ (leq(n0, n6) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, n7, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (264) all_0_40_40 = 0 |  ~ (leq(n0, n7) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, n5, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (265) all_0_40_40 = 0 |  ~ (leq(n0, n5) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, n4, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (266) all_0_40_40 = 0 |  ~ (leq(n0, n4) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, n3, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (267) all_0_40_40 = 0 |  ~ (leq(n0, n3) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_36_36, n6, n2, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.20  | (268) all_0_36_36 = 0 |  ~ (leq(n0, n2) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n6) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_37_37, n5, n2, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.20  | (269) all_0_37_37 = 0 |  ~ (leq(n0, n2) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n5) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_38_38, n4, n2, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.20  | (270) all_0_38_38 = 0 |  ~ (leq(n0, n2) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n4) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, n2, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (271) all_0_39_39 = 0 |  ~ (leq(n0, n2) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (162) with n2 yields:
% 42.11/11.20  | (272) n2 = n0 |  ~ (leq(n0, n2) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n0) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_36_36, n6, n1, n0 and discharging atoms leq(n0, n6) = all_0_36_36, yields:
% 42.11/11.20  | (273) all_0_36_36 = 0 |  ~ (leq(n0, n1) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n6) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_37_37, n5, n1, n0 and discharging atoms leq(n0, n5) = all_0_37_37, yields:
% 42.11/11.20  | (274) all_0_37_37 = 0 |  ~ (leq(n0, n1) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n5) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_38_38, n4, n1, n0 and discharging atoms leq(n0, n4) = all_0_38_38, yields:
% 42.11/11.20  | (275) all_0_38_38 = 0 |  ~ (leq(n0, n1) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n4) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_39_39, n3, n1, n0 and discharging atoms leq(n0, n3) = all_0_39_39, yields:
% 42.11/11.20  | (276) all_0_39_39 = 0 |  ~ (leq(n0, n1) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n3) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (134) with all_0_40_40, n2, n1, n0 and discharging atoms leq(n0, n2) = all_0_40_40, yields:
% 42.11/11.20  | (277) all_0_40_40 = 0 |  ~ (leq(n0, n1) = 0) |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n2) = v0)
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (20) with n6, n5, n5 and discharging atoms succ(n5) = n6, gt(n6, n5) = 0, yields:
% 42.11/11.20  | (278) leq(n5, n5) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n6, n0 and discharging atoms gt(n6, n0) = 0, yields:
% 42.11/11.20  | (279) leq(n0, n6) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n6 and discharging atoms gt(n7, n6) = 0, yields:
% 42.11/11.20  | (280) leq(n6, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n5 and discharging atoms gt(n7, n5) = 0, yields:
% 42.11/11.20  | (281) leq(n5, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n4 and discharging atoms gt(n7, n4) = 0, yields:
% 42.11/11.20  | (282) leq(n4, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n3 and discharging atoms gt(n7, n3) = 0, yields:
% 42.11/11.20  | (283) leq(n3, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n2 and discharging atoms gt(n7, n2) = 0, yields:
% 42.11/11.20  | (284) leq(n2, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n1 and discharging atoms gt(n7, n1) = 0, yields:
% 42.11/11.20  | (285) leq(n1, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n7, n0 and discharging atoms gt(n7, n0) = 0, yields:
% 42.11/11.20  | (286) leq(n0, n7) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n5, n4 and discharging atoms gt(n5, n4) = 0, yields:
% 42.11/11.20  | (287) leq(n4, n5) = 0
% 42.11/11.20  |
% 42.11/11.20  | Instantiating formula (120) with n5, n3 and discharging atoms gt(n5, n3) = 0, yields:
% 42.11/11.20  | (288) leq(n3, n5) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n5, n2 and discharging atoms gt(n5, n2) = 0, yields:
% 42.11/11.21  | (289) leq(n2, n5) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n5, n1 and discharging atoms gt(n5, n1) = 0, yields:
% 42.11/11.21  | (290) leq(n1, n5) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n5, n0 and discharging atoms gt(n5, n0) = 0, yields:
% 42.11/11.21  | (291) leq(n0, n5) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (20) with n4, n3, n3 and discharging atoms succ(n3) = n4, gt(n4, n3) = 0, yields:
% 42.11/11.21  | (292) leq(n3, n3) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n4, n0 and discharging atoms gt(n4, n0) = 0, yields:
% 42.11/11.21  | (293) leq(n0, n4) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n3, n2 and discharging atoms gt(n3, n2) = 0, yields:
% 42.11/11.21  | (294) leq(n2, n3) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n3, n1 and discharging atoms gt(n3, n1) = 0, yields:
% 42.11/11.21  | (295) leq(n1, n3) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n3, n0 and discharging atoms gt(n3, n0) = 0, yields:
% 42.11/11.21  | (296) leq(n0, n3) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n2, n0 and discharging atoms gt(n2, n0) = 0, yields:
% 42.11/11.21  | (297) leq(n0, n2) = 0
% 42.11/11.21  |
% 42.11/11.21  | Instantiating formula (120) with n1, n0 and discharging atoms gt(n1, n0) = 0, yields:
% 42.11/11.21  | (298) leq(n0, n1) = 0
% 42.11/11.21  |
% 42.11/11.21  +-Applying beta-rule and splitting (229), into two cases.
% 42.11/11.21  |-Branch one:
% 42.11/11.21  | (299) all_0_37_37 = 0
% 42.11/11.21  |
% 42.11/11.21  	| From (299) and (52) follows:
% 42.11/11.21  	| (291) leq(n0, n5) = 0
% 42.11/11.21  	|
% 42.11/11.21  	+-Applying beta-rule and splitting (226), into two cases.
% 42.11/11.21  	|-Branch one:
% 42.11/11.21  	| (301)  ~ (leq(n0, n6) = 0)
% 42.11/11.21  	|
% 42.11/11.21  		| Using (279) and (301) yields:
% 42.11/11.21  		| (302) $false
% 42.11/11.21  		|
% 42.11/11.21  		|-The branch is then unsatisfiable
% 42.11/11.21  	|-Branch two:
% 42.11/11.21  	| (279) leq(n0, n6) = 0
% 42.11/11.21  	| (304) n6 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n0) = v0)
% 42.11/11.21  	|
% 42.11/11.21  		+-Applying beta-rule and splitting (237), into two cases.
% 42.11/11.21  		|-Branch one:
% 42.11/11.21  		| (305) all_0_38_38 = 0
% 42.11/11.21  		|
% 42.11/11.21  			| From (305) and (189) follows:
% 42.11/11.21  			| (293) leq(n0, n4) = 0
% 42.11/11.21  			|
% 42.11/11.21  			+-Applying beta-rule and splitting (228), into two cases.
% 42.11/11.21  			|-Branch one:
% 42.11/11.21  			| (307)  ~ (leq(n0, n7) = 0)
% 42.11/11.21  			|
% 42.11/11.21  				| Using (286) and (307) yields:
% 42.11/11.21  				| (302) $false
% 42.11/11.21  				|
% 42.11/11.21  				|-The branch is then unsatisfiable
% 42.11/11.21  			|-Branch two:
% 42.11/11.21  			| (286) leq(n0, n7) = 0
% 42.11/11.21  			| (310) n7 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n0) = v0)
% 42.11/11.21  			|
% 42.11/11.21  				+-Applying beta-rule and splitting (206), into two cases.
% 42.11/11.21  				|-Branch one:
% 42.11/11.21  				| (311)  ~ (leq(n0, n3) = all_0_38_38)
% 42.11/11.21  				|
% 42.11/11.21  					| From (305) and (311) follows:
% 42.11/11.21  					| (312)  ~ (leq(n0, n3) = 0)
% 42.11/11.21  					|
% 42.11/11.21  					| Using (296) and (312) yields:
% 42.11/11.21  					| (302) $false
% 42.11/11.21  					|
% 42.11/11.21  					|-The branch is then unsatisfiable
% 42.11/11.21  				|-Branch two:
% 42.11/11.21  				| (314) leq(n0, n3) = all_0_38_38
% 42.11/11.21  				| (315) all_0_38_38 = all_0_39_39
% 42.11/11.21  				|
% 42.11/11.21  					| Combining equations (305,315) yields a new equation:
% 42.11/11.21  					| (316) all_0_39_39 = 0
% 42.11/11.21  					|
% 42.11/11.21  					| Combining equations (316,315) yields a new equation:
% 42.11/11.21  					| (305) all_0_38_38 = 0
% 42.11/11.21  					|
% 42.11/11.21  					| From (316) and (81) follows:
% 42.11/11.21  					| (296) leq(n0, n3) = 0
% 42.11/11.21  					|
% 42.11/11.21  					+-Applying beta-rule and splitting (209), into two cases.
% 42.11/11.21  					|-Branch one:
% 42.11/11.21  					| (319)  ~ (leq(n0, n1) = all_0_38_38)
% 42.11/11.21  					|
% 42.11/11.21  						| From (305) and (319) follows:
% 42.11/11.21  						| (320)  ~ (leq(n0, n1) = 0)
% 42.11/11.21  						|
% 42.11/11.21  						| Using (298) and (320) yields:
% 42.11/11.21  						| (302) $false
% 42.11/11.21  						|
% 42.11/11.21  						|-The branch is then unsatisfiable
% 42.11/11.21  					|-Branch two:
% 42.11/11.21  					| (322) leq(n0, n1) = all_0_38_38
% 42.11/11.21  					| (323) all_0_38_38 = all_0_41_41
% 42.11/11.21  					|
% 42.11/11.21  						| Combining equations (305,323) yields a new equation:
% 42.11/11.21  						| (324) all_0_41_41 = 0
% 42.11/11.21  						|
% 42.11/11.21  						| Combining equations (324,323) yields a new equation:
% 42.11/11.21  						| (305) all_0_38_38 = 0
% 42.11/11.21  						|
% 42.11/11.21  						| From (324) and (114) follows:
% 42.11/11.21  						| (298) leq(n0, n1) = 0
% 42.11/11.21  						|
% 42.11/11.21  						+-Applying beta-rule and splitting (223), into two cases.
% 42.11/11.21  						|-Branch one:
% 42.11/11.21  						| (327) all_0_36_36 = 0
% 42.11/11.21  						|
% 42.11/11.21  							+-Applying beta-rule and splitting (260), into two cases.
% 42.11/11.21  							|-Branch one:
% 42.11/11.21  							| (328) all_0_40_40 = 0
% 42.11/11.21  							|
% 42.11/11.21  								+-Applying beta-rule and splitting (221), into two cases.
% 42.11/11.21  								|-Branch one:
% 42.11/11.21  								| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.11/11.21  								|
% 42.11/11.21  									| Using (218) and (329) yields:
% 42.11/11.21  									| (302) $false
% 42.11/11.21  									|
% 42.11/11.21  									|-The branch is then unsatisfiable
% 42.11/11.21  								|-Branch two:
% 42.11/11.21  								| (218) leq(n0, all_0_44_44) = 0
% 42.11/11.21  								| (332) gt(all_0_44_44, tptp_minus_1) = 0
% 42.11/11.21  								|
% 42.11/11.21  									+-Applying beta-rule and splitting (203), into two cases.
% 42.11/11.21  									|-Branch one:
% 42.11/11.21  									| (333)  ~ (leq(n0, n7) = all_0_36_36)
% 42.11/11.21  									|
% 42.11/11.21  										| From (327) and (333) follows:
% 42.11/11.21  										| (307)  ~ (leq(n0, n7) = 0)
% 42.11/11.21  										|
% 42.11/11.21  										| Using (286) and (307) yields:
% 42.11/11.21  										| (302) $false
% 42.11/11.21  										|
% 42.11/11.21  										|-The branch is then unsatisfiable
% 42.11/11.21  									|-Branch two:
% 42.11/11.21  									| (336) leq(n0, n7) = all_0_36_36
% 42.11/11.21  									| (337) all_0_35_35 = all_0_36_36
% 42.11/11.21  									|
% 42.11/11.21  										| Combining equations (327,337) yields a new equation:
% 42.11/11.21  										| (338) all_0_35_35 = 0
% 42.11/11.21  										|
% 42.11/11.21  										+-Applying beta-rule and splitting (236), into two cases.
% 42.11/11.21  										|-Branch one:
% 42.11/11.21  										| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.21  										|
% 42.11/11.21  											| Using (291) and (339) yields:
% 42.11/11.21  											| (302) $false
% 42.11/11.21  											|
% 42.11/11.21  											|-The branch is then unsatisfiable
% 42.11/11.21  										|-Branch two:
% 42.11/11.21  										| (291) leq(n0, n5) = 0
% 42.11/11.21  										| (342) n5 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 42.11/11.21  										|
% 42.11/11.21  											+-Applying beta-rule and splitting (220), into two cases.
% 42.11/11.21  											|-Branch one:
% 42.11/11.21  											| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.11/11.21  											|
% 42.11/11.21  												| Using (217) and (343) yields:
% 42.11/11.21  												| (302) $false
% 42.11/11.21  												|
% 42.11/11.21  												|-The branch is then unsatisfiable
% 42.11/11.21  											|-Branch two:
% 42.11/11.21  											| (217) leq(n0, all_0_43_43) = 0
% 42.11/11.21  											| (346) gt(all_0_43_43, tptp_minus_1) = 0
% 42.11/11.21  											|
% 42.11/11.21  												| Instantiating formula (155) with n6, n5, all_0_33_33 and discharging atoms pred(n6) = all_0_33_33, pred(n6) = n5, yields:
% 42.11/11.21  												| (347) all_0_33_33 = n5
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (155) with n4, n3, all_0_44_44 and discharging atoms pred(n4) = all_0_44_44, pred(n4) = n3, yields:
% 42.11/11.21  												| (348) all_0_44_44 = n3
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n6, n7, 0, all_0_17_17 and discharging atoms leq(n6, n7) = all_0_17_17, leq(n6, n7) = 0, yields:
% 42.11/11.21  												| (349) all_0_17_17 = 0
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n5, n7, 0, all_0_19_19 and discharging atoms leq(n5, n7) = all_0_19_19, leq(n5, n7) = 0, yields:
% 42.11/11.21  												| (350) all_0_19_19 = 0
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n5, n5, 0, all_0_18_18 and discharging atoms leq(n5, n5) = 0, yields:
% 42.11/11.21  												| (351) all_0_18_18 = 0 |  ~ (leq(n5, n5) = all_0_18_18)
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n4, n7, 0, all_0_21_21 and discharging atoms leq(n4, n7) = all_0_21_21, leq(n4, n7) = 0, yields:
% 42.11/11.21  												| (352) all_0_21_21 = 0
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n3, n7, 0, all_0_24_24 and discharging atoms leq(n3, n7) = all_0_24_24, leq(n3, n7) = 0, yields:
% 42.11/11.21  												| (353) all_0_24_24 = 0
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n3, n5, 0, all_0_22_22 and discharging atoms leq(n3, n5) = 0, yields:
% 42.11/11.21  												| (354) all_0_22_22 = 0 |  ~ (leq(n3, n5) = all_0_22_22)
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n3, n3, 0, all_0_23_23 and discharging atoms leq(n3, n3) = 0, yields:
% 42.11/11.21  												| (355) all_0_23_23 = 0 |  ~ (leq(n3, n3) = all_0_23_23)
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n2, n7, 0, all_0_27_27 and discharging atoms leq(n2, n7) = all_0_27_27, leq(n2, n7) = 0, yields:
% 42.11/11.21  												| (356) all_0_27_27 = 0
% 42.11/11.21  												|
% 42.11/11.21  												| Instantiating formula (10) with n2, n5, 0, all_0_25_25 and discharging atoms leq(n2, n5) = 0, yields:
% 42.11/11.21  												| (357) all_0_25_25 = 0 |  ~ (leq(n2, n5) = all_0_25_25)
% 42.11/11.22  												|
% 42.11/11.22  												| Instantiating formula (10) with n2, n3, 0, all_0_26_26 and discharging atoms leq(n2, n3) = 0, yields:
% 42.11/11.22  												| (358) all_0_26_26 = 0 |  ~ (leq(n2, n3) = all_0_26_26)
% 42.11/11.22  												|
% 42.11/11.22  												| Instantiating formula (10) with n1, n7, 0, all_0_30_30 and discharging atoms leq(n1, n7) = all_0_30_30, leq(n1, n7) = 0, yields:
% 42.11/11.22  												| (359) all_0_30_30 = 0
% 42.11/11.22  												|
% 42.11/11.22  												| Instantiating formula (10) with n1, n5, 0, all_0_28_28 and discharging atoms leq(n1, n5) = 0, yields:
% 42.11/11.22  												| (360) all_0_28_28 = 0 |  ~ (leq(n1, n5) = all_0_28_28)
% 42.11/11.22  												|
% 42.11/11.22  												| Instantiating formula (10) with n0, all_0_43_43, 0, all_0_31_31 and discharging atoms leq(n0, all_0_43_43) = all_0_31_31, leq(n0, all_0_43_43) = 0, yields:
% 42.11/11.22  												| (361) all_0_31_31 = 0
% 42.11/11.22  												|
% 42.11/11.22  												| Instantiating formula (10) with n0, all_0_44_44, 0, all_0_34_34 and discharging atoms leq(n0, all_0_44_44) = all_0_34_34, leq(n0, all_0_44_44) = 0, yields:
% 42.11/11.22  												| (362) all_0_34_34 = 0
% 42.11/11.22  												|
% 42.11/11.22  												| From (347) and (158) follows:
% 42.11/11.22  												| (363) leq(pv21, n5) = all_0_12_12
% 42.11/11.22  												|
% 42.11/11.22  												| From (347) and (91) follows:
% 42.11/11.22  												| (364) leq(n5, n5) = all_0_18_18
% 42.11/11.22  												|
% 42.11/11.22  												| From (347) and (32) follows:
% 42.11/11.22  												| (365) leq(n3, n5) = all_0_22_22
% 42.11/11.22  												|
% 42.11/11.22  												| From (348) and (2) follows:
% 42.11/11.22  												| (366) leq(n3, n3) = all_0_23_23
% 42.11/11.22  												|
% 42.11/11.22  												| From (347) and (186) follows:
% 42.11/11.22  												| (367) leq(n2, n5) = all_0_25_25
% 42.11/11.22  												|
% 42.11/11.22  												| From (348) and (25) follows:
% 42.11/11.22  												| (368) leq(n2, n3) = all_0_26_26
% 42.11/11.22  												|
% 42.11/11.22  												| From (347) and (82) follows:
% 42.11/11.22  												| (369) leq(n1, n5) = all_0_28_28
% 42.11/11.22  												|
% 42.11/11.22  												+-Applying beta-rule and splitting (357), into two cases.
% 42.11/11.22  												|-Branch one:
% 42.11/11.22  												| (370)  ~ (leq(n2, n5) = all_0_25_25)
% 42.11/11.22  												|
% 42.11/11.22  													| Using (367) and (370) yields:
% 42.11/11.22  													| (302) $false
% 42.11/11.22  													|
% 42.11/11.22  													|-The branch is then unsatisfiable
% 42.11/11.22  												|-Branch two:
% 42.11/11.22  												| (367) leq(n2, n5) = all_0_25_25
% 42.11/11.22  												| (373) all_0_25_25 = 0
% 42.11/11.22  												|
% 42.11/11.22  													+-Applying beta-rule and splitting (360), into two cases.
% 42.11/11.22  													|-Branch one:
% 42.11/11.22  													| (374)  ~ (leq(n1, n5) = all_0_28_28)
% 42.11/11.22  													|
% 42.11/11.22  														| Using (369) and (374) yields:
% 42.11/11.22  														| (302) $false
% 42.11/11.22  														|
% 42.11/11.22  														|-The branch is then unsatisfiable
% 42.11/11.22  													|-Branch two:
% 42.11/11.22  													| (369) leq(n1, n5) = all_0_28_28
% 42.11/11.22  													| (377) all_0_28_28 = 0
% 42.11/11.22  													|
% 42.11/11.22  														+-Applying beta-rule and splitting (201), into two cases.
% 42.11/11.22  														|-Branch one:
% 42.11/11.22  														| (378)  ~ (leq(n1, all_0_44_44) = all_0_28_28)
% 42.11/11.22  														|
% 42.11/11.22  															| From (348)(377) and (378) follows:
% 42.11/11.22  															| (379)  ~ (leq(n1, n3) = 0)
% 42.11/11.22  															|
% 42.11/11.22  															| Using (295) and (379) yields:
% 42.11/11.22  															| (302) $false
% 42.11/11.22  															|
% 42.11/11.22  															|-The branch is then unsatisfiable
% 42.11/11.22  														|-Branch two:
% 42.11/11.22  														| (381) leq(n1, all_0_44_44) = all_0_28_28
% 42.11/11.22  														| (382) all_0_28_28 = all_0_29_29
% 42.11/11.22  														|
% 42.11/11.22  															| Combining equations (382,377) yields a new equation:
% 42.11/11.22  															| (383) all_0_29_29 = 0
% 42.11/11.22  															|
% 42.11/11.22  															| Simplifying 383 yields:
% 42.11/11.22  															| (384) all_0_29_29 = 0
% 42.11/11.22  															|
% 42.11/11.22  															+-Applying beta-rule and splitting (202), into two cases.
% 42.11/11.22  															|-Branch one:
% 42.11/11.22  															| (385)  ~ (leq(n0, all_0_33_33) = all_0_25_25)
% 42.11/11.22  															|
% 42.11/11.22  																| From (347)(373) and (385) follows:
% 42.11/11.22  																| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.22  																|
% 42.11/11.22  																| Using (291) and (339) yields:
% 42.11/11.22  																| (302) $false
% 42.11/11.22  																|
% 42.11/11.22  																|-The branch is then unsatisfiable
% 42.11/11.22  															|-Branch two:
% 42.11/11.22  															| (388) leq(n0, all_0_33_33) = all_0_25_25
% 42.11/11.22  															| (389) all_0_25_25 = all_0_32_32
% 42.11/11.22  															|
% 42.11/11.22  																| Combining equations (373,389) yields a new equation:
% 42.11/11.22  																| (390) all_0_32_32 = 0
% 42.11/11.22  																|
% 42.11/11.22  																| Combining equations (390,389) yields a new equation:
% 42.11/11.22  																| (373) all_0_25_25 = 0
% 42.11/11.22  																|
% 42.11/11.22  																+-Applying beta-rule and splitting (355), into two cases.
% 42.11/11.22  																|-Branch one:
% 42.11/11.22  																| (392)  ~ (leq(n3, n3) = all_0_23_23)
% 42.11/11.22  																|
% 42.11/11.22  																	| Using (366) and (392) yields:
% 42.11/11.22  																	| (302) $false
% 42.11/11.22  																	|
% 42.11/11.22  																	|-The branch is then unsatisfiable
% 42.11/11.22  																|-Branch two:
% 42.11/11.22  																| (366) leq(n3, n3) = all_0_23_23
% 42.11/11.22  																| (395) all_0_23_23 = 0
% 42.11/11.22  																|
% 42.11/11.22  																	+-Applying beta-rule and splitting (358), into two cases.
% 42.11/11.22  																	|-Branch one:
% 42.11/11.22  																	| (396)  ~ (leq(n2, n3) = all_0_26_26)
% 42.11/11.22  																	|
% 42.11/11.22  																		| Using (368) and (396) yields:
% 42.11/11.22  																		| (302) $false
% 42.11/11.22  																		|
% 42.11/11.22  																		|-The branch is then unsatisfiable
% 42.11/11.22  																	|-Branch two:
% 42.11/11.22  																	| (368) leq(n2, n3) = all_0_26_26
% 42.11/11.22  																	| (399) all_0_26_26 = 0
% 42.11/11.22  																	|
% 42.11/11.22  																		+-Applying beta-rule and splitting (351), into two cases.
% 42.11/11.22  																		|-Branch one:
% 42.11/11.22  																		| (400)  ~ (leq(n5, n5) = all_0_18_18)
% 42.11/11.22  																		|
% 42.11/11.22  																			| Using (364) and (400) yields:
% 42.11/11.22  																			| (302) $false
% 42.11/11.22  																			|
% 42.11/11.22  																			|-The branch is then unsatisfiable
% 42.11/11.22  																		|-Branch two:
% 42.11/11.22  																		| (364) leq(n5, n5) = all_0_18_18
% 42.11/11.22  																		| (403) all_0_18_18 = 0
% 42.11/11.22  																		|
% 42.11/11.22  																			+-Applying beta-rule and splitting (198), into two cases.
% 42.11/11.22  																			|-Branch one:
% 42.11/11.22  																			| (404)  ~ (leq(pv21, n5) = all_0_12_12)
% 42.11/11.22  																			|
% 42.11/11.22  																				| Using (363) and (404) yields:
% 42.11/11.22  																				| (302) $false
% 42.11/11.22  																				|
% 42.11/11.22  																				|-The branch is then unsatisfiable
% 42.11/11.22  																			|-Branch two:
% 42.11/11.22  																			| (363) leq(pv21, n5) = all_0_12_12
% 42.11/11.22  																			| (407) all_0_11_11 = all_0_12_12
% 42.11/11.22  																			|
% 42.11/11.22  																				+-Applying beta-rule and splitting (200), into two cases.
% 42.11/11.22  																				|-Branch one:
% 42.11/11.22  																				| (408)  ~ (leq(n4, all_0_33_33) = all_0_18_18)
% 42.11/11.22  																				|
% 42.11/11.22  																					| From (347)(403) and (408) follows:
% 42.11/11.22  																					| (409)  ~ (leq(n4, n5) = 0)
% 42.11/11.22  																					|
% 42.11/11.22  																					| Using (287) and (409) yields:
% 42.11/11.22  																					| (302) $false
% 42.11/11.22  																					|
% 42.11/11.22  																					|-The branch is then unsatisfiable
% 42.11/11.22  																				|-Branch two:
% 42.11/11.22  																				| (411) leq(n4, all_0_33_33) = all_0_18_18
% 42.11/11.22  																				| (412) all_0_18_18 = all_0_20_20
% 42.11/11.22  																				|
% 42.11/11.22  																					| Combining equations (412,403) yields a new equation:
% 42.11/11.22  																					| (413) all_0_20_20 = 0
% 42.11/11.22  																					|
% 42.11/11.22  																					| Simplifying 413 yields:
% 42.11/11.22  																					| (414) all_0_20_20 = 0
% 42.11/11.22  																					|
% 42.11/11.22  																					+-Applying beta-rule and splitting (354), into two cases.
% 42.11/11.22  																					|-Branch one:
% 42.11/11.22  																					| (415)  ~ (leq(n3, n5) = all_0_22_22)
% 42.11/11.22  																					|
% 42.11/11.22  																						| Using (365) and (415) yields:
% 42.11/11.22  																						| (302) $false
% 42.11/11.22  																						|
% 42.11/11.22  																						|-The branch is then unsatisfiable
% 42.11/11.22  																					|-Branch two:
% 42.11/11.22  																					| (365) leq(n3, n5) = all_0_22_22
% 42.11/11.22  																					| (418) all_0_22_22 = 0
% 42.11/11.22  																					|
% 42.11/11.22  																						+-Applying beta-rule and splitting (70), into two cases.
% 42.11/11.22  																						|-Branch one:
% 42.11/11.22  																						| (419)  ~ (all_0_16_16 = 0)
% 42.11/11.22  																						|
% 42.11/11.22  																							| Equations (199) can reduce 419 to:
% 42.11/11.22  																							| (420) $false
% 42.11/11.22  																							|
% 42.11/11.22  																							|-The branch is then unsatisfiable
% 42.11/11.22  																						|-Branch two:
% 42.11/11.22  																						| (199) all_0_16_16 = 0
% 42.11/11.22  																						| (422)  ~ (all_0_17_17 = 0) |  ~ (all_0_18_18 = 0) |  ~ (all_0_19_19 = 0) |  ~ (all_0_20_20 = 0) |  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.22  																						|
% 42.11/11.22  																							+-Applying beta-rule and splitting (422), into two cases.
% 42.11/11.22  																							|-Branch one:
% 42.11/11.22  																							| (423)  ~ (all_0_17_17 = 0)
% 42.11/11.22  																							|
% 42.11/11.22  																								| Equations (349) can reduce 423 to:
% 42.11/11.22  																								| (420) $false
% 42.11/11.22  																								|
% 42.11/11.22  																								|-The branch is then unsatisfiable
% 42.11/11.22  																							|-Branch two:
% 42.11/11.22  																							| (349) all_0_17_17 = 0
% 42.11/11.22  																							| (426)  ~ (all_0_18_18 = 0) |  ~ (all_0_19_19 = 0) |  ~ (all_0_20_20 = 0) |  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.22  																							|
% 42.11/11.22  																								+-Applying beta-rule and splitting (426), into two cases.
% 42.11/11.22  																								|-Branch one:
% 42.11/11.22  																								| (427)  ~ (all_0_18_18 = 0)
% 42.11/11.22  																								|
% 42.11/11.22  																									| Equations (403) can reduce 427 to:
% 42.11/11.22  																									| (420) $false
% 42.11/11.22  																									|
% 42.11/11.22  																									|-The branch is then unsatisfiable
% 42.11/11.22  																								|-Branch two:
% 42.11/11.22  																								| (403) all_0_18_18 = 0
% 42.11/11.22  																								| (430)  ~ (all_0_19_19 = 0) |  ~ (all_0_20_20 = 0) |  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.22  																								|
% 42.11/11.22  																									+-Applying beta-rule and splitting (430), into two cases.
% 42.11/11.22  																									|-Branch one:
% 42.11/11.22  																									| (431)  ~ (all_0_19_19 = 0)
% 42.11/11.22  																									|
% 42.11/11.22  																										| Equations (350) can reduce 431 to:
% 42.11/11.22  																										| (420) $false
% 42.11/11.22  																										|
% 42.11/11.22  																										|-The branch is then unsatisfiable
% 42.11/11.22  																									|-Branch two:
% 42.11/11.22  																									| (350) all_0_19_19 = 0
% 42.11/11.22  																									| (434)  ~ (all_0_20_20 = 0) |  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																									|
% 42.11/11.23  																										+-Applying beta-rule and splitting (434), into two cases.
% 42.11/11.23  																										|-Branch one:
% 42.11/11.23  																										| (435)  ~ (all_0_20_20 = 0)
% 42.11/11.23  																										|
% 42.11/11.23  																											| Equations (414) can reduce 435 to:
% 42.11/11.23  																											| (420) $false
% 42.11/11.23  																											|
% 42.11/11.23  																											|-The branch is then unsatisfiable
% 42.11/11.23  																										|-Branch two:
% 42.11/11.23  																										| (414) all_0_20_20 = 0
% 42.11/11.23  																										| (438)  ~ (all_0_21_21 = 0) |  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																										|
% 42.11/11.23  																											+-Applying beta-rule and splitting (438), into two cases.
% 42.11/11.23  																											|-Branch one:
% 42.11/11.23  																											| (439)  ~ (all_0_21_21 = 0)
% 42.11/11.23  																											|
% 42.11/11.23  																												| Equations (352) can reduce 439 to:
% 42.11/11.23  																												| (420) $false
% 42.11/11.23  																												|
% 42.11/11.23  																												|-The branch is then unsatisfiable
% 42.11/11.23  																											|-Branch two:
% 42.11/11.23  																											| (352) all_0_21_21 = 0
% 42.11/11.23  																											| (442)  ~ (all_0_22_22 = 0) |  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																											|
% 42.11/11.23  																												+-Applying beta-rule and splitting (442), into two cases.
% 42.11/11.23  																												|-Branch one:
% 42.11/11.23  																												| (443)  ~ (all_0_22_22 = 0)
% 42.11/11.23  																												|
% 42.11/11.23  																													| Equations (418) can reduce 443 to:
% 42.11/11.23  																													| (420) $false
% 42.11/11.23  																													|
% 42.11/11.23  																													|-The branch is then unsatisfiable
% 42.11/11.23  																												|-Branch two:
% 42.11/11.23  																												| (418) all_0_22_22 = 0
% 42.11/11.23  																												| (446)  ~ (all_0_23_23 = 0) |  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																												|
% 42.11/11.23  																													+-Applying beta-rule and splitting (446), into two cases.
% 42.11/11.23  																													|-Branch one:
% 42.11/11.23  																													| (447)  ~ (all_0_23_23 = 0)
% 42.11/11.23  																													|
% 42.11/11.23  																														| Equations (395) can reduce 447 to:
% 42.11/11.23  																														| (420) $false
% 42.11/11.23  																														|
% 42.11/11.23  																														|-The branch is then unsatisfiable
% 42.11/11.23  																													|-Branch two:
% 42.11/11.23  																													| (395) all_0_23_23 = 0
% 42.11/11.23  																													| (450)  ~ (all_0_24_24 = 0) |  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																													|
% 42.11/11.23  																														+-Applying beta-rule and splitting (450), into two cases.
% 42.11/11.23  																														|-Branch one:
% 42.11/11.23  																														| (451)  ~ (all_0_24_24 = 0)
% 42.11/11.23  																														|
% 42.11/11.23  																															| Equations (353) can reduce 451 to:
% 42.11/11.23  																															| (420) $false
% 42.11/11.23  																															|
% 42.11/11.23  																															|-The branch is then unsatisfiable
% 42.11/11.23  																														|-Branch two:
% 42.11/11.23  																														| (353) all_0_24_24 = 0
% 42.11/11.23  																														| (454)  ~ (all_0_25_25 = 0) |  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																														|
% 42.11/11.23  																															+-Applying beta-rule and splitting (454), into two cases.
% 42.11/11.23  																															|-Branch one:
% 42.11/11.23  																															| (455)  ~ (all_0_25_25 = 0)
% 42.11/11.23  																															|
% 42.11/11.23  																																| Equations (373) can reduce 455 to:
% 42.11/11.23  																																| (420) $false
% 42.11/11.23  																																|
% 42.11/11.23  																																|-The branch is then unsatisfiable
% 42.11/11.23  																															|-Branch two:
% 42.11/11.23  																															| (373) all_0_25_25 = 0
% 42.11/11.23  																															| (458)  ~ (all_0_26_26 = 0) |  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																															|
% 42.11/11.23  																																+-Applying beta-rule and splitting (458), into two cases.
% 42.11/11.23  																																|-Branch one:
% 42.11/11.23  																																| (459)  ~ (all_0_26_26 = 0)
% 42.11/11.23  																																|
% 42.11/11.23  																																	| Equations (399) can reduce 459 to:
% 42.11/11.23  																																	| (420) $false
% 42.11/11.23  																																	|
% 42.11/11.23  																																	|-The branch is then unsatisfiable
% 42.11/11.23  																																|-Branch two:
% 42.11/11.23  																																| (399) all_0_26_26 = 0
% 42.11/11.23  																																| (462)  ~ (all_0_27_27 = 0) |  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																|
% 42.11/11.23  																																	+-Applying beta-rule and splitting (462), into two cases.
% 42.11/11.23  																																	|-Branch one:
% 42.11/11.23  																																	| (463)  ~ (all_0_27_27 = 0)
% 42.11/11.23  																																	|
% 42.11/11.23  																																		| Equations (356) can reduce 463 to:
% 42.11/11.23  																																		| (420) $false
% 42.11/11.23  																																		|
% 42.11/11.23  																																		|-The branch is then unsatisfiable
% 42.11/11.23  																																	|-Branch two:
% 42.11/11.23  																																	| (356) all_0_27_27 = 0
% 42.11/11.23  																																	| (466)  ~ (all_0_28_28 = 0) |  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																	|
% 42.11/11.23  																																		+-Applying beta-rule and splitting (466), into two cases.
% 42.11/11.23  																																		|-Branch one:
% 42.11/11.23  																																		| (467)  ~ (all_0_28_28 = 0)
% 42.11/11.23  																																		|
% 42.11/11.23  																																			| Equations (377) can reduce 467 to:
% 42.11/11.23  																																			| (420) $false
% 42.11/11.23  																																			|
% 42.11/11.23  																																			|-The branch is then unsatisfiable
% 42.11/11.23  																																		|-Branch two:
% 42.11/11.23  																																		| (377) all_0_28_28 = 0
% 42.11/11.23  																																		| (470)  ~ (all_0_29_29 = 0) |  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																		|
% 42.11/11.23  																																			+-Applying beta-rule and splitting (470), into two cases.
% 42.11/11.23  																																			|-Branch one:
% 42.11/11.23  																																			| (471)  ~ (all_0_29_29 = 0)
% 42.11/11.23  																																			|
% 42.11/11.23  																																				| Equations (384) can reduce 471 to:
% 42.11/11.23  																																				| (420) $false
% 42.11/11.23  																																				|
% 42.11/11.23  																																				|-The branch is then unsatisfiable
% 42.11/11.23  																																			|-Branch two:
% 42.11/11.23  																																			| (384) all_0_29_29 = 0
% 42.11/11.23  																																			| (474)  ~ (all_0_30_30 = 0) |  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																			|
% 42.11/11.23  																																				+-Applying beta-rule and splitting (474), into two cases.
% 42.11/11.23  																																				|-Branch one:
% 42.11/11.23  																																				| (475)  ~ (all_0_30_30 = 0)
% 42.11/11.23  																																				|
% 42.11/11.23  																																					| Equations (359) can reduce 475 to:
% 42.11/11.23  																																					| (420) $false
% 42.11/11.23  																																					|
% 42.11/11.23  																																					|-The branch is then unsatisfiable
% 42.11/11.23  																																				|-Branch two:
% 42.11/11.23  																																				| (359) all_0_30_30 = 0
% 42.11/11.23  																																				| (478)  ~ (all_0_31_31 = 0) |  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																				|
% 42.11/11.23  																																					+-Applying beta-rule and splitting (478), into two cases.
% 42.11/11.23  																																					|-Branch one:
% 42.11/11.23  																																					| (479)  ~ (all_0_31_31 = 0)
% 42.11/11.23  																																					|
% 42.11/11.23  																																						| Equations (361) can reduce 479 to:
% 42.11/11.23  																																						| (420) $false
% 42.11/11.23  																																						|
% 42.11/11.23  																																						|-The branch is then unsatisfiable
% 42.11/11.23  																																					|-Branch two:
% 42.11/11.23  																																					| (361) all_0_31_31 = 0
% 42.11/11.23  																																					| (482)  ~ (all_0_32_32 = 0) |  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																					|
% 42.11/11.23  																																						+-Applying beta-rule and splitting (482), into two cases.
% 42.11/11.23  																																						|-Branch one:
% 42.11/11.23  																																						| (483)  ~ (all_0_32_32 = 0)
% 42.11/11.23  																																						|
% 42.11/11.23  																																							| Equations (390) can reduce 483 to:
% 42.11/11.23  																																							| (420) $false
% 42.11/11.23  																																							|
% 42.11/11.23  																																							|-The branch is then unsatisfiable
% 42.11/11.23  																																						|-Branch two:
% 42.11/11.23  																																						| (390) all_0_32_32 = 0
% 42.11/11.23  																																						| (486)  ~ (all_0_34_34 = 0) |  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																						|
% 42.11/11.23  																																							+-Applying beta-rule and splitting (486), into two cases.
% 42.11/11.23  																																							|-Branch one:
% 42.11/11.23  																																							| (487)  ~ (all_0_34_34 = 0)
% 42.11/11.23  																																							|
% 42.11/11.23  																																								| Equations (362) can reduce 487 to:
% 42.11/11.23  																																								| (420) $false
% 42.11/11.23  																																								|
% 42.11/11.23  																																								|-The branch is then unsatisfiable
% 42.11/11.23  																																							|-Branch two:
% 42.11/11.23  																																							| (362) all_0_34_34 = 0
% 42.11/11.23  																																							| (490)  ~ (all_0_35_35 = 0) |  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																							|
% 42.11/11.23  																																								+-Applying beta-rule and splitting (490), into two cases.
% 42.11/11.23  																																								|-Branch one:
% 42.11/11.23  																																								| (491)  ~ (all_0_35_35 = 0)
% 42.11/11.23  																																								|
% 42.11/11.23  																																									| Equations (338) can reduce 491 to:
% 42.11/11.23  																																									| (420) $false
% 42.11/11.23  																																									|
% 42.11/11.23  																																									|-The branch is then unsatisfiable
% 42.11/11.23  																																								|-Branch two:
% 42.11/11.23  																																								| (338) all_0_35_35 = 0
% 42.11/11.23  																																								| (494)  ~ (all_0_36_36 = 0) |  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.23  																																								|
% 42.11/11.23  																																									+-Applying beta-rule and splitting (494), into two cases.
% 42.11/11.23  																																									|-Branch one:
% 42.11/11.23  																																									| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.23  																																									|
% 42.11/11.23  																																										| Equations (327) can reduce 495 to:
% 42.11/11.23  																																										| (420) $false
% 42.11/11.23  																																										|
% 42.11/11.23  																																										|-The branch is then unsatisfiable
% 42.11/11.23  																																									|-Branch two:
% 42.11/11.23  																																									| (327) all_0_36_36 = 0
% 42.11/11.23  																																									| (498)  ~ (all_0_37_37 = 0) |  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																									|
% 42.11/11.24  																																										+-Applying beta-rule and splitting (498), into two cases.
% 42.11/11.24  																																										|-Branch one:
% 42.11/11.24  																																										| (499)  ~ (all_0_37_37 = 0)
% 42.11/11.24  																																										|
% 42.11/11.24  																																											| Equations (299) can reduce 499 to:
% 42.11/11.24  																																											| (420) $false
% 42.11/11.24  																																											|
% 42.11/11.24  																																											|-The branch is then unsatisfiable
% 42.11/11.24  																																										|-Branch two:
% 42.11/11.24  																																										| (299) all_0_37_37 = 0
% 42.11/11.24  																																										| (502)  ~ (all_0_38_38 = 0) |  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																										|
% 42.11/11.24  																																											+-Applying beta-rule and splitting (502), into two cases.
% 42.11/11.24  																																											|-Branch one:
% 42.11/11.24  																																											| (503)  ~ (all_0_38_38 = 0)
% 42.11/11.24  																																											|
% 42.11/11.24  																																												| Equations (305) can reduce 503 to:
% 42.11/11.24  																																												| (420) $false
% 42.11/11.24  																																												|
% 42.11/11.24  																																												|-The branch is then unsatisfiable
% 42.11/11.24  																																											|-Branch two:
% 42.11/11.24  																																											| (305) all_0_38_38 = 0
% 42.11/11.24  																																											| (506)  ~ (all_0_39_39 = 0) |  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																											|
% 42.11/11.24  																																												+-Applying beta-rule and splitting (506), into two cases.
% 42.11/11.24  																																												|-Branch one:
% 42.11/11.24  																																												| (507)  ~ (all_0_39_39 = 0)
% 42.11/11.24  																																												|
% 42.11/11.24  																																													| Equations (316) can reduce 507 to:
% 42.11/11.24  																																													| (420) $false
% 42.11/11.24  																																													|
% 42.11/11.24  																																													|-The branch is then unsatisfiable
% 42.11/11.24  																																												|-Branch two:
% 42.11/11.24  																																												| (316) all_0_39_39 = 0
% 42.11/11.24  																																												| (510)  ~ (all_0_40_40 = 0) |  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																												|
% 42.11/11.24  																																													+-Applying beta-rule and splitting (510), into two cases.
% 42.11/11.24  																																													|-Branch one:
% 42.11/11.24  																																													| (511)  ~ (all_0_40_40 = 0)
% 42.11/11.24  																																													|
% 42.11/11.24  																																														| Equations (328) can reduce 511 to:
% 42.11/11.24  																																														| (420) $false
% 42.11/11.24  																																														|
% 42.11/11.24  																																														|-The branch is then unsatisfiable
% 42.11/11.24  																																													|-Branch two:
% 42.11/11.24  																																													| (328) all_0_40_40 = 0
% 42.11/11.24  																																													| (514)  ~ (all_0_41_41 = 0) |  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																													|
% 42.11/11.24  																																														+-Applying beta-rule and splitting (514), into two cases.
% 42.11/11.24  																																														|-Branch one:
% 42.11/11.24  																																														| (515)  ~ (all_0_41_41 = 0)
% 42.11/11.24  																																														|
% 42.11/11.24  																																															| Equations (324) can reduce 515 to:
% 42.11/11.24  																																															| (420) $false
% 42.11/11.24  																																															|
% 42.11/11.24  																																															|-The branch is then unsatisfiable
% 42.11/11.24  																																														|-Branch two:
% 42.11/11.24  																																														| (324) all_0_41_41 = 0
% 42.11/11.24  																																														| (518)  ~ (all_0_42_42 = 0) | (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																														|
% 42.11/11.24  																																															+-Applying beta-rule and splitting (518), into two cases.
% 42.11/11.24  																																															|-Branch one:
% 42.11/11.24  																																															| (519)  ~ (all_0_42_42 = 0)
% 42.11/11.24  																																															|
% 42.11/11.24  																																																| Equations (211) can reduce 519 to:
% 42.11/11.24  																																																| (420) $false
% 42.11/11.24  																																																|
% 42.11/11.24  																																																|-The branch is then unsatisfiable
% 42.11/11.24  																																															|-Branch two:
% 42.11/11.24  																																															| (211) all_0_42_42 = 0
% 42.11/11.24  																																															| (522) (all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)) | (all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0))
% 42.11/11.24  																																															|
% 42.11/11.24  																																																+-Applying beta-rule and splitting (522), into two cases.
% 42.11/11.24  																																																|-Branch one:
% 42.11/11.24  																																																| (523) all_0_12_12 = 0 & all_0_13_13 = 0 & all_0_14_14 = 0 & all_0_15_15 = 0 &  ~ (all_0_11_11 = 0)
% 42.11/11.24  																																																|
% 42.11/11.24  																																																	| Applying alpha-rule on (523) yields:
% 42.11/11.24  																																																	| (524) all_0_12_12 = 0
% 42.11/11.24  																																																	| (525) all_0_14_14 = 0
% 42.11/11.24  																																																	| (526)  ~ (all_0_11_11 = 0)
% 42.11/11.24  																																																	| (527) all_0_15_15 = 0
% 42.11/11.24  																																																	| (528) all_0_13_13 = 0
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																	| Combining equations (524,407) yields a new equation:
% 42.11/11.24  																																																	| (529) all_0_11_11 = 0
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																	| Equations (529) can reduce 526 to:
% 42.11/11.24  																																																	| (420) $false
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																	|-The branch is then unsatisfiable
% 42.11/11.24  																																																|-Branch two:
% 42.11/11.24  																																																| (531) all_0_13_13 = 0 & all_0_15_15 = 0 &  ~ (all_0_6_6 = 0)
% 42.11/11.24  																																																|
% 42.11/11.24  																																																	| Applying alpha-rule on (531) yields:
% 42.11/11.24  																																																	| (528) all_0_13_13 = 0
% 42.11/11.24  																																																	| (527) all_0_15_15 = 0
% 42.11/11.24  																																																	| (534)  ~ (all_0_6_6 = 0)
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																	| From (528) and (177) follows:
% 42.11/11.24  																																																	| (535) leq(pv5, n588) = 0
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																	+-Applying beta-rule and splitting (219), into two cases.
% 42.11/11.24  																																																	|-Branch one:
% 42.11/11.24  																																																	| (536)  ~ (leq(pv5, n588) = 0)
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																		| Using (535) and (536) yields:
% 42.11/11.24  																																																		| (302) $false
% 42.11/11.24  																																																		|
% 42.11/11.24  																																																		|-The branch is then unsatisfiable
% 42.11/11.24  																																																	|-Branch two:
% 42.11/11.24  																																																	| (535) leq(pv5, n588) = 0
% 42.11/11.24  																																																	| (539) all_0_6_6 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n588, all_0_43_43) = v0)
% 42.11/11.24  																																																	|
% 42.11/11.24  																																																		+-Applying beta-rule and splitting (539), into two cases.
% 42.11/11.24  																																																		|-Branch one:
% 42.11/11.24  																																																		| (540) all_0_6_6 = 0
% 42.11/11.24  																																																		|
% 42.11/11.24  																																																			| Equations (540) can reduce 534 to:
% 42.11/11.24  																																																			| (420) $false
% 42.11/11.24  																																																			|
% 42.11/11.24  																																																			|-The branch is then unsatisfiable
% 42.11/11.24  																																																		|-Branch two:
% 42.11/11.24  																																																		| (534)  ~ (all_0_6_6 = 0)
% 42.11/11.24  																																																		| (543)  ? [v0] : ( ~ (v0 = 0) & leq(n588, all_0_43_43) = v0)
% 42.11/11.24  																																																		|
% 42.11/11.24  																																																			| Instantiating (543) with all_299_0_64 yields:
% 42.11/11.24  																																																			| (544)  ~ (all_299_0_64 = 0) & leq(n588, all_0_43_43) = all_299_0_64
% 42.11/11.24  																																																			|
% 42.11/11.24  																																																			| Applying alpha-rule on (544) yields:
% 42.11/11.24  																																																			| (545)  ~ (all_299_0_64 = 0)
% 42.11/11.24  																																																			| (546) leq(n588, all_0_43_43) = all_299_0_64
% 42.11/11.24  																																																			|
% 42.11/11.24  																																																			| Instantiating formula (106) with all_299_0_64, all_0_43_43, n1000, n588 and discharging atoms pred(n1000) = all_0_43_43, leq(n588, all_0_43_43) = all_299_0_64, yields:
% 42.11/11.24  																																																			| (547) all_299_0_64 = 0 |  ? [v0] : ( ~ (v0 = 0) & gt(n1000, n588) = v0)
% 42.11/11.24  																																																			|
% 42.11/11.24  																																																			+-Applying beta-rule and splitting (547), into two cases.
% 42.11/11.24  																																																			|-Branch one:
% 42.11/11.24  																																																			| (548) all_299_0_64 = 0
% 42.11/11.24  																																																			|
% 42.11/11.24  																																																				| Equations (548) can reduce 545 to:
% 42.11/11.24  																																																				| (420) $false
% 42.11/11.24  																																																				|
% 42.11/11.24  																																																				|-The branch is then unsatisfiable
% 42.11/11.24  																																																			|-Branch two:
% 42.11/11.24  																																																			| (545)  ~ (all_299_0_64 = 0)
% 42.11/11.24  																																																			| (551)  ? [v0] : ( ~ (v0 = 0) & gt(n1000, n588) = v0)
% 42.11/11.24  																																																			|
% 42.11/11.24  																																																				| Instantiating (551) with all_323_0_65 yields:
% 42.11/11.24  																																																				| (552)  ~ (all_323_0_65 = 0) & gt(n1000, n588) = all_323_0_65
% 42.11/11.24  																																																				|
% 42.11/11.24  																																																				| Applying alpha-rule on (552) yields:
% 42.11/11.24  																																																				| (553)  ~ (all_323_0_65 = 0)
% 42.11/11.24  																																																				| (554) gt(n1000, n588) = all_323_0_65
% 42.11/11.24  																																																				|
% 42.11/11.24  																																																				| Instantiating formula (107) with n1000, n588, all_323_0_65, 0 and discharging atoms gt(n1000, n588) = all_323_0_65, gt(n1000, n588) = 0, yields:
% 42.11/11.24  																																																				| (555) all_323_0_65 = 0
% 42.11/11.24  																																																				|
% 42.11/11.24  																																																				| Equations (555) can reduce 553 to:
% 42.11/11.24  																																																				| (420) $false
% 42.11/11.24  																																																				|
% 42.11/11.24  																																																				|-The branch is then unsatisfiable
% 42.11/11.24  							|-Branch two:
% 42.11/11.24  							| (511)  ~ (all_0_40_40 = 0)
% 42.11/11.24  							| (558)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n1) = v0)
% 42.11/11.24  							|
% 42.11/11.24  								+-Applying beta-rule and splitting (207), into two cases.
% 42.11/11.24  								|-Branch one:
% 42.11/11.24  								| (559)  ~ (leq(n0, n2) = all_0_39_39)
% 42.11/11.24  								|
% 42.11/11.24  									| From (316) and (559) follows:
% 42.11/11.24  									| (560)  ~ (leq(n0, n2) = 0)
% 42.11/11.24  									|
% 42.11/11.24  									| Using (297) and (560) yields:
% 42.11/11.24  									| (302) $false
% 42.11/11.24  									|
% 42.11/11.24  									|-The branch is then unsatisfiable
% 42.11/11.24  								|-Branch two:
% 42.11/11.24  								| (562) leq(n0, n2) = all_0_39_39
% 42.11/11.24  								| (563) all_0_39_39 = all_0_40_40
% 42.11/11.24  								|
% 42.11/11.24  									| Combining equations (563,316) yields a new equation:
% 42.11/11.24  									| (564) all_0_40_40 = 0
% 42.11/11.24  									|
% 42.11/11.24  									| Simplifying 564 yields:
% 42.11/11.24  									| (328) all_0_40_40 = 0
% 42.11/11.24  									|
% 42.11/11.24  									| Equations (328) can reduce 511 to:
% 42.11/11.24  									| (420) $false
% 42.11/11.24  									|
% 42.11/11.24  									|-The branch is then unsatisfiable
% 42.11/11.25  						|-Branch two:
% 42.11/11.25  						| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  						| (568)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n5) = v0)
% 42.11/11.25  						|
% 42.11/11.25  							+-Applying beta-rule and splitting (222), into two cases.
% 42.11/11.25  							|-Branch one:
% 42.11/11.25  							| (327) all_0_36_36 = 0
% 42.11/11.25  							|
% 42.11/11.25  								| Equations (327) can reduce 495 to:
% 42.11/11.25  								| (420) $false
% 42.11/11.25  								|
% 42.11/11.25  								|-The branch is then unsatisfiable
% 42.11/11.25  							|-Branch two:
% 42.11/11.25  							| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  							| (572)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n5) = v0)
% 42.11/11.25  							|
% 42.11/11.25  								+-Applying beta-rule and splitting (207), into two cases.
% 42.11/11.25  								|-Branch one:
% 42.11/11.25  								| (559)  ~ (leq(n0, n2) = all_0_39_39)
% 42.11/11.25  								|
% 42.11/11.25  									| From (316) and (559) follows:
% 42.11/11.25  									| (560)  ~ (leq(n0, n2) = 0)
% 42.11/11.25  									|
% 42.11/11.25  									| Using (297) and (560) yields:
% 42.11/11.25  									| (302) $false
% 42.11/11.25  									|
% 42.11/11.25  									|-The branch is then unsatisfiable
% 42.11/11.25  								|-Branch two:
% 42.11/11.25  								| (562) leq(n0, n2) = all_0_39_39
% 42.11/11.25  								| (563) all_0_39_39 = all_0_40_40
% 42.11/11.25  								|
% 42.11/11.25  									| Combining equations (316,563) yields a new equation:
% 42.11/11.25  									| (328) all_0_40_40 = 0
% 42.11/11.25  									|
% 42.11/11.25  									| From (328) and (92) follows:
% 42.11/11.25  									| (297) leq(n0, n2) = 0
% 42.11/11.25  									|
% 42.11/11.25  									+-Applying beta-rule and splitting (236), into two cases.
% 42.11/11.25  									|-Branch one:
% 42.11/11.25  									| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.25  									|
% 42.11/11.25  										| Using (291) and (339) yields:
% 42.11/11.25  										| (302) $false
% 42.11/11.25  										|
% 42.11/11.25  										|-The branch is then unsatisfiable
% 42.11/11.25  									|-Branch two:
% 42.11/11.25  									| (291) leq(n0, n5) = 0
% 42.11/11.25  									| (342) n5 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 42.11/11.25  									|
% 42.11/11.25  										+-Applying beta-rule and splitting (235), into two cases.
% 42.11/11.25  										|-Branch one:
% 42.11/11.25  										| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.25  										|
% 42.11/11.25  											| Using (291) and (339) yields:
% 42.11/11.25  											| (302) $false
% 42.11/11.25  											|
% 42.11/11.25  											|-The branch is then unsatisfiable
% 42.11/11.25  										|-Branch two:
% 42.11/11.25  										| (291) leq(n0, n5) = 0
% 42.11/11.25  										| (587) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n6) = v0)
% 42.11/11.25  										|
% 42.11/11.25  											+-Applying beta-rule and splitting (227), into two cases.
% 42.11/11.25  											|-Branch one:
% 42.11/11.25  											| (307)  ~ (leq(n0, n7) = 0)
% 42.11/11.25  											|
% 42.11/11.25  												| Using (286) and (307) yields:
% 42.11/11.25  												| (302) $false
% 42.11/11.25  												|
% 42.11/11.25  												|-The branch is then unsatisfiable
% 42.11/11.25  											|-Branch two:
% 42.11/11.25  											| (286) leq(n0, n7) = 0
% 42.11/11.25  											| (591) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n6) = v0)
% 42.11/11.25  											|
% 42.11/11.25  												+-Applying beta-rule and splitting (587), into two cases.
% 42.11/11.25  												|-Branch one:
% 42.11/11.25  												| (327) all_0_36_36 = 0
% 42.11/11.25  												|
% 42.11/11.25  													| Equations (327) can reduce 495 to:
% 42.11/11.25  													| (420) $false
% 42.11/11.25  													|
% 42.11/11.25  													|-The branch is then unsatisfiable
% 42.11/11.25  												|-Branch two:
% 42.11/11.25  												| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  												| (595)  ? [v0] : ( ~ (v0 = 0) & leq(n5, n6) = v0)
% 42.11/11.25  												|
% 42.11/11.25  													+-Applying beta-rule and splitting (591), into two cases.
% 42.11/11.25  													|-Branch one:
% 42.11/11.25  													| (327) all_0_36_36 = 0
% 42.11/11.25  													|
% 42.11/11.25  														| Equations (327) can reduce 495 to:
% 42.11/11.25  														| (420) $false
% 42.11/11.25  														|
% 42.11/11.25  														|-The branch is then unsatisfiable
% 42.11/11.25  													|-Branch two:
% 42.11/11.25  													| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  													| (599)  ? [v0] : ( ~ (v0 = 0) & leq(n7, n6) = v0)
% 42.11/11.25  													|
% 42.11/11.25  														+-Applying beta-rule and splitting (221), into two cases.
% 42.11/11.25  														|-Branch one:
% 42.11/11.25  														| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.11/11.25  														|
% 42.11/11.25  															| Using (218) and (329) yields:
% 42.11/11.25  															| (302) $false
% 42.11/11.25  															|
% 42.11/11.25  															|-The branch is then unsatisfiable
% 42.11/11.25  														|-Branch two:
% 42.11/11.25  														| (218) leq(n0, all_0_44_44) = 0
% 42.11/11.25  														| (332) gt(all_0_44_44, tptp_minus_1) = 0
% 42.11/11.25  														|
% 42.11/11.25  															+-Applying beta-rule and splitting (220), into two cases.
% 42.11/11.25  															|-Branch one:
% 42.11/11.25  															| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.11/11.25  															|
% 42.11/11.25  																| Using (217) and (343) yields:
% 42.11/11.25  																| (302) $false
% 42.11/11.25  																|
% 42.11/11.25  																|-The branch is then unsatisfiable
% 42.11/11.25  															|-Branch two:
% 42.11/11.25  															| (217) leq(n0, all_0_43_43) = 0
% 42.11/11.25  															| (346) gt(all_0_43_43, tptp_minus_1) = 0
% 42.11/11.25  															|
% 42.11/11.25  																+-Applying beta-rule and splitting (273), into two cases.
% 42.11/11.25  																|-Branch one:
% 42.11/11.25  																| (320)  ~ (leq(n0, n1) = 0)
% 42.11/11.25  																|
% 42.11/11.25  																	| Using (298) and (320) yields:
% 42.11/11.25  																	| (302) $false
% 42.11/11.25  																	|
% 42.11/11.25  																	|-The branch is then unsatisfiable
% 42.11/11.25  																|-Branch two:
% 42.11/11.25  																| (298) leq(n0, n1) = 0
% 42.11/11.25  																| (611) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n6) = v0)
% 42.11/11.25  																|
% 42.11/11.25  																	+-Applying beta-rule and splitting (268), into two cases.
% 42.11/11.25  																	|-Branch one:
% 42.11/11.25  																	| (560)  ~ (leq(n0, n2) = 0)
% 42.11/11.25  																	|
% 42.11/11.25  																		| Using (297) and (560) yields:
% 42.11/11.25  																		| (302) $false
% 42.11/11.25  																		|
% 42.11/11.25  																		|-The branch is then unsatisfiable
% 42.11/11.25  																	|-Branch two:
% 42.11/11.25  																	| (297) leq(n0, n2) = 0
% 42.11/11.25  																	| (615) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n6) = v0)
% 42.11/11.25  																	|
% 42.11/11.25  																		+-Applying beta-rule and splitting (224), into two cases.
% 42.11/11.25  																		|-Branch one:
% 42.11/11.25  																		| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.11/11.25  																		|
% 42.11/11.25  																			| Using (217) and (343) yields:
% 42.11/11.25  																			| (302) $false
% 42.11/11.25  																			|
% 42.11/11.25  																			|-The branch is then unsatisfiable
% 42.11/11.25  																		|-Branch two:
% 42.11/11.25  																		| (217) leq(n0, all_0_43_43) = 0
% 42.11/11.25  																		| (619) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n6) = v0)
% 42.11/11.25  																		|
% 42.11/11.25  																			+-Applying beta-rule and splitting (225), into two cases.
% 42.11/11.25  																			|-Branch one:
% 42.11/11.25  																			| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.11/11.25  																			|
% 42.11/11.25  																				| Using (218) and (329) yields:
% 42.11/11.25  																				| (302) $false
% 42.11/11.25  																				|
% 42.11/11.25  																				|-The branch is then unsatisfiable
% 42.11/11.25  																			|-Branch two:
% 42.11/11.25  																			| (218) leq(n0, all_0_44_44) = 0
% 42.11/11.25  																			| (623) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n6) = v0)
% 42.11/11.25  																			|
% 42.11/11.25  																				+-Applying beta-rule and splitting (246), into two cases.
% 42.11/11.25  																				|-Branch one:
% 42.11/11.25  																				| (624)  ~ (leq(n0, n4) = 0)
% 42.11/11.25  																				|
% 42.11/11.25  																					| Using (293) and (624) yields:
% 42.11/11.25  																					| (302) $false
% 42.11/11.25  																					|
% 42.11/11.25  																					|-The branch is then unsatisfiable
% 42.11/11.25  																				|-Branch two:
% 42.11/11.25  																				| (293) leq(n0, n4) = 0
% 42.11/11.25  																				| (627) n4 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0)
% 42.11/11.25  																				|
% 42.11/11.25  																					+-Applying beta-rule and splitting (615), into two cases.
% 42.11/11.25  																					|-Branch one:
% 42.11/11.25  																					| (327) all_0_36_36 = 0
% 42.11/11.25  																					|
% 42.11/11.25  																						| Equations (327) can reduce 495 to:
% 42.11/11.25  																						| (420) $false
% 42.11/11.25  																						|
% 42.11/11.25  																						|-The branch is then unsatisfiable
% 42.11/11.25  																					|-Branch two:
% 42.11/11.25  																					| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  																					| (631)  ? [v0] : ( ~ (v0 = 0) & leq(n2, n6) = v0)
% 42.11/11.25  																					|
% 42.11/11.25  																						+-Applying beta-rule and splitting (619), into two cases.
% 42.11/11.25  																						|-Branch one:
% 42.11/11.25  																						| (327) all_0_36_36 = 0
% 42.11/11.25  																						|
% 42.11/11.25  																							| Equations (327) can reduce 495 to:
% 42.11/11.25  																							| (420) $false
% 42.11/11.25  																							|
% 42.11/11.25  																							|-The branch is then unsatisfiable
% 42.11/11.25  																						|-Branch two:
% 42.11/11.25  																						| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  																						| (635)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n6) = v0)
% 42.11/11.25  																						|
% 42.11/11.25  																							+-Applying beta-rule and splitting (623), into two cases.
% 42.11/11.25  																							|-Branch one:
% 42.11/11.25  																							| (327) all_0_36_36 = 0
% 42.11/11.25  																							|
% 42.11/11.25  																								| Equations (327) can reduce 495 to:
% 42.11/11.25  																								| (420) $false
% 42.11/11.25  																								|
% 42.11/11.25  																								|-The branch is then unsatisfiable
% 42.11/11.25  																							|-Branch two:
% 42.11/11.25  																							| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  																							| (639)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n6) = v0)
% 42.11/11.25  																							|
% 42.11/11.25  																								+-Applying beta-rule and splitting (255), into two cases.
% 42.11/11.25  																								|-Branch one:
% 42.11/11.25  																								| (312)  ~ (leq(n0, n3) = 0)
% 42.11/11.25  																								|
% 42.11/11.25  																									| Using (296) and (312) yields:
% 42.11/11.25  																									| (302) $false
% 42.11/11.25  																									|
% 42.11/11.25  																									|-The branch is then unsatisfiable
% 42.11/11.25  																								|-Branch two:
% 42.11/11.25  																								| (296) leq(n0, n3) = 0
% 42.11/11.25  																								| (643) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n6) = v0)
% 42.11/11.25  																								|
% 42.11/11.25  																									+-Applying beta-rule and splitting (244), into two cases.
% 42.11/11.25  																									|-Branch one:
% 42.11/11.25  																									| (624)  ~ (leq(n0, n4) = 0)
% 42.11/11.25  																									|
% 42.11/11.25  																										| Using (293) and (624) yields:
% 42.11/11.25  																										| (302) $false
% 42.11/11.25  																										|
% 42.11/11.25  																										|-The branch is then unsatisfiable
% 42.11/11.25  																									|-Branch two:
% 42.11/11.25  																									| (293) leq(n0, n4) = 0
% 42.11/11.25  																									| (647) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n6) = v0)
% 42.11/11.25  																									|
% 42.11/11.25  																										+-Applying beta-rule and splitting (643), into two cases.
% 42.11/11.25  																										|-Branch one:
% 42.11/11.25  																										| (327) all_0_36_36 = 0
% 42.11/11.25  																										|
% 42.11/11.25  																											| Equations (327) can reduce 495 to:
% 42.11/11.25  																											| (420) $false
% 42.11/11.25  																											|
% 42.11/11.25  																											|-The branch is then unsatisfiable
% 42.11/11.25  																										|-Branch two:
% 42.11/11.25  																										| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  																										| (651)  ? [v0] : ( ~ (v0 = 0) & leq(n3, n6) = v0)
% 42.11/11.25  																										|
% 42.11/11.25  																											+-Applying beta-rule and splitting (647), into two cases.
% 42.11/11.25  																											|-Branch one:
% 42.11/11.25  																											| (327) all_0_36_36 = 0
% 42.11/11.25  																											|
% 42.11/11.25  																												| Equations (327) can reduce 495 to:
% 42.11/11.25  																												| (420) $false
% 42.11/11.25  																												|
% 42.11/11.25  																												|-The branch is then unsatisfiable
% 42.11/11.25  																											|-Branch two:
% 42.11/11.25  																											| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  																											| (655)  ? [v0] : ( ~ (v0 = 0) & leq(n4, n6) = v0)
% 42.11/11.25  																											|
% 42.11/11.25  																												+-Applying beta-rule and splitting (611), into two cases.
% 42.11/11.25  																												|-Branch one:
% 42.11/11.25  																												| (327) all_0_36_36 = 0
% 42.11/11.25  																												|
% 42.11/11.25  																													| Equations (327) can reduce 495 to:
% 42.11/11.25  																													| (420) $false
% 42.11/11.25  																													|
% 42.11/11.25  																													|-The branch is then unsatisfiable
% 42.11/11.25  																												|-Branch two:
% 42.11/11.25  																												| (495)  ~ (all_0_36_36 = 0)
% 42.11/11.25  																												| (659)  ? [v0] : ( ~ (v0 = 0) & leq(n1, n6) = v0)
% 42.11/11.25  																												|
% 42.11/11.25  																													| Instantiating formula (10) with n0, n6, 0, all_0_36_36 and discharging atoms leq(n0, n6) = all_0_36_36, leq(n0, n6) = 0, yields:
% 42.11/11.25  																													| (327) all_0_36_36 = 0
% 42.11/11.25  																													|
% 42.11/11.26  																													| Equations (327) can reduce 495 to:
% 42.11/11.26  																													| (420) $false
% 42.11/11.26  																													|
% 42.11/11.26  																													|-The branch is then unsatisfiable
% 42.11/11.26  		|-Branch two:
% 42.11/11.26  		| (503)  ~ (all_0_38_38 = 0)
% 42.11/11.26  		| (663)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n3) = v0)
% 42.11/11.26  		|
% 42.11/11.26  			+-Applying beta-rule and splitting (228), into two cases.
% 42.11/11.26  			|-Branch one:
% 42.11/11.26  			| (307)  ~ (leq(n0, n7) = 0)
% 42.11/11.26  			|
% 42.11/11.26  				| Using (286) and (307) yields:
% 42.11/11.26  				| (302) $false
% 42.11/11.26  				|
% 42.11/11.26  				|-The branch is then unsatisfiable
% 42.11/11.26  			|-Branch two:
% 42.11/11.26  			| (286) leq(n0, n7) = 0
% 42.11/11.26  			| (310) n7 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n0) = v0)
% 42.11/11.26  			|
% 42.11/11.26  				+-Applying beta-rule and splitting (238), into two cases.
% 42.11/11.26  				|-Branch one:
% 42.11/11.26  				| (305) all_0_38_38 = 0
% 42.11/11.26  				|
% 42.11/11.26  					| Equations (305) can reduce 503 to:
% 42.11/11.26  					| (420) $false
% 42.11/11.26  					|
% 42.11/11.26  					|-The branch is then unsatisfiable
% 42.11/11.26  				|-Branch two:
% 42.11/11.26  				| (503)  ~ (all_0_38_38 = 0)
% 42.11/11.26  				| (671)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n3) = v0)
% 42.11/11.26  				|
% 42.11/11.26  					+-Applying beta-rule and splitting (205), into two cases.
% 42.11/11.26  					|-Branch one:
% 42.11/11.26  					| (672)  ~ (leq(n0, n3) = all_0_37_37)
% 42.11/11.26  					|
% 42.11/11.26  						| From (299) and (672) follows:
% 42.11/11.26  						| (312)  ~ (leq(n0, n3) = 0)
% 42.11/11.26  						|
% 42.11/11.26  						| Using (296) and (312) yields:
% 42.11/11.26  						| (302) $false
% 42.11/11.26  						|
% 42.11/11.26  						|-The branch is then unsatisfiable
% 42.11/11.26  					|-Branch two:
% 42.11/11.26  					| (675) leq(n0, n3) = all_0_37_37
% 42.11/11.26  					| (676) all_0_37_37 = all_0_39_39
% 42.11/11.26  					|
% 42.11/11.26  						| Combining equations (299,676) yields a new equation:
% 42.11/11.26  						| (316) all_0_39_39 = 0
% 42.11/11.26  						|
% 42.11/11.26  						| Combining equations (316,676) yields a new equation:
% 42.11/11.26  						| (299) all_0_37_37 = 0
% 42.11/11.26  						|
% 42.11/11.26  						+-Applying beta-rule and splitting (236), into two cases.
% 42.11/11.26  						|-Branch one:
% 42.11/11.26  						| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.26  						|
% 42.11/11.26  							| Using (291) and (339) yields:
% 42.11/11.26  							| (302) $false
% 42.11/11.26  							|
% 42.11/11.26  							|-The branch is then unsatisfiable
% 42.11/11.26  						|-Branch two:
% 42.11/11.26  						| (291) leq(n0, n5) = 0
% 42.11/11.26  						| (342) n5 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 42.11/11.26  						|
% 42.11/11.26  							+-Applying beta-rule and splitting (242), into two cases.
% 42.11/11.26  							|-Branch one:
% 42.11/11.26  							| (307)  ~ (leq(n0, n7) = 0)
% 42.11/11.26  							|
% 42.11/11.26  								| Using (286) and (307) yields:
% 42.11/11.26  								| (302) $false
% 42.11/11.26  								|
% 42.11/11.26  								|-The branch is then unsatisfiable
% 42.11/11.26  							|-Branch two:
% 42.11/11.26  							| (286) leq(n0, n7) = 0
% 42.11/11.26  							| (686) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n4) = v0)
% 42.11/11.26  							|
% 42.11/11.26  								+-Applying beta-rule and splitting (243), into two cases.
% 42.11/11.26  								|-Branch one:
% 42.11/11.26  								| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.26  								|
% 42.11/11.26  									| Using (291) and (339) yields:
% 42.11/11.26  									| (302) $false
% 42.11/11.26  									|
% 42.11/11.26  									|-The branch is then unsatisfiable
% 42.11/11.26  								|-Branch two:
% 42.11/11.26  								| (291) leq(n0, n5) = 0
% 42.11/11.26  								| (690) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n4) = v0)
% 42.11/11.26  								|
% 42.11/11.26  									+-Applying beta-rule and splitting (686), into two cases.
% 42.11/11.26  									|-Branch one:
% 42.11/11.26  									| (305) all_0_38_38 = 0
% 42.11/11.26  									|
% 42.11/11.26  										| Equations (305) can reduce 503 to:
% 42.11/11.26  										| (420) $false
% 42.11/11.26  										|
% 42.11/11.26  										|-The branch is then unsatisfiable
% 42.11/11.26  									|-Branch two:
% 42.11/11.26  									| (503)  ~ (all_0_38_38 = 0)
% 42.11/11.26  									| (694)  ? [v0] : ( ~ (v0 = 0) & leq(n7, n4) = v0)
% 42.11/11.26  									|
% 42.11/11.26  										+-Applying beta-rule and splitting (690), into two cases.
% 42.11/11.26  										|-Branch one:
% 42.11/11.26  										| (305) all_0_38_38 = 0
% 42.11/11.26  										|
% 42.11/11.26  											| Equations (305) can reduce 503 to:
% 42.11/11.26  											| (420) $false
% 42.11/11.26  											|
% 42.11/11.26  											|-The branch is then unsatisfiable
% 42.11/11.26  										|-Branch two:
% 42.11/11.26  										| (503)  ~ (all_0_38_38 = 0)
% 42.11/11.26  										| (698)  ? [v0] : ( ~ (v0 = 0) & leq(n5, n4) = v0)
% 42.11/11.26  										|
% 42.11/11.26  											+-Applying beta-rule and splitting (208), into two cases.
% 42.11/11.26  											|-Branch one:
% 42.11/11.26  											| (699)  ~ (leq(n0, n1) = all_0_37_37)
% 42.11/11.26  											|
% 42.11/11.26  												| From (299) and (699) follows:
% 42.11/11.26  												| (320)  ~ (leq(n0, n1) = 0)
% 42.11/11.26  												|
% 42.11/11.26  												| Using (298) and (320) yields:
% 42.11/11.26  												| (302) $false
% 42.11/11.26  												|
% 42.11/11.26  												|-The branch is then unsatisfiable
% 42.11/11.26  											|-Branch two:
% 42.11/11.26  											| (702) leq(n0, n1) = all_0_37_37
% 42.11/11.26  											| (703) all_0_37_37 = all_0_41_41
% 42.11/11.26  											|
% 42.11/11.26  												| Combining equations (299,703) yields a new equation:
% 42.11/11.26  												| (324) all_0_41_41 = 0
% 42.11/11.26  												|
% 42.11/11.26  												| Combining equations (324,703) yields a new equation:
% 42.11/11.26  												| (299) all_0_37_37 = 0
% 42.11/11.26  												|
% 42.11/11.26  												+-Applying beta-rule and splitting (204), into two cases.
% 42.11/11.26  												|-Branch one:
% 42.11/11.26  												| (706)  ~ (leq(n0, n4) = all_0_37_37)
% 42.11/11.26  												|
% 42.11/11.26  													| From (299) and (706) follows:
% 42.11/11.26  													| (624)  ~ (leq(n0, n4) = 0)
% 42.11/11.26  													|
% 42.11/11.26  													| Using (293) and (624) yields:
% 42.11/11.26  													| (302) $false
% 42.11/11.26  													|
% 42.11/11.26  													|-The branch is then unsatisfiable
% 42.11/11.26  												|-Branch two:
% 42.11/11.26  												| (709) leq(n0, n4) = all_0_37_37
% 42.11/11.26  												| (710) all_0_37_37 = all_0_38_38
% 42.11/11.26  												|
% 42.11/11.26  													| Combining equations (299,710) yields a new equation:
% 42.11/11.26  													| (305) all_0_38_38 = 0
% 42.11/11.26  													|
% 42.11/11.26  													| Equations (305) can reduce 503 to:
% 42.11/11.26  													| (420) $false
% 42.11/11.26  													|
% 42.11/11.26  													|-The branch is then unsatisfiable
% 42.11/11.26  |-Branch two:
% 42.11/11.26  | (499)  ~ (all_0_37_37 = 0)
% 42.11/11.26  | (714)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n4) = v0)
% 42.11/11.26  |
% 42.11/11.26  	+-Applying beta-rule and splitting (226), into two cases.
% 42.11/11.26  	|-Branch one:
% 42.11/11.26  	| (301)  ~ (leq(n0, n6) = 0)
% 42.11/11.26  	|
% 42.11/11.26  		| Using (279) and (301) yields:
% 42.11/11.26  		| (302) $false
% 42.11/11.26  		|
% 42.11/11.26  		|-The branch is then unsatisfiable
% 42.11/11.26  	|-Branch two:
% 42.11/11.26  	| (279) leq(n0, n6) = 0
% 42.11/11.26  	| (304) n6 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n0) = v0)
% 42.11/11.26  	|
% 42.11/11.26  		+-Applying beta-rule and splitting (237), into two cases.
% 42.11/11.26  		|-Branch one:
% 42.11/11.26  		| (305) all_0_38_38 = 0
% 42.11/11.26  		|
% 42.11/11.26  			| From (305) and (189) follows:
% 42.11/11.26  			| (293) leq(n0, n4) = 0
% 42.11/11.26  			|
% 42.11/11.26  			+-Applying beta-rule and splitting (228), into two cases.
% 42.11/11.26  			|-Branch one:
% 42.11/11.26  			| (307)  ~ (leq(n0, n7) = 0)
% 42.11/11.26  			|
% 42.11/11.26  				| Using (286) and (307) yields:
% 42.11/11.26  				| (302) $false
% 42.11/11.26  				|
% 42.11/11.26  				|-The branch is then unsatisfiable
% 42.11/11.26  			|-Branch two:
% 42.11/11.26  			| (286) leq(n0, n7) = 0
% 42.11/11.26  			| (310) n7 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n0) = v0)
% 42.11/11.26  			|
% 42.11/11.26  				+-Applying beta-rule and splitting (232), into two cases.
% 42.11/11.26  				|-Branch one:
% 42.11/11.26  				| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.11/11.26  				|
% 42.11/11.26  					| Using (218) and (329) yields:
% 42.11/11.26  					| (302) $false
% 42.11/11.26  					|
% 42.11/11.26  					|-The branch is then unsatisfiable
% 42.11/11.26  				|-Branch two:
% 42.11/11.26  				| (218) leq(n0, all_0_44_44) = 0
% 42.11/11.26  				| (728) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n5) = v0)
% 42.11/11.26  				|
% 42.11/11.26  					+-Applying beta-rule and splitting (728), into two cases.
% 42.11/11.26  					|-Branch one:
% 42.11/11.26  					| (299) all_0_37_37 = 0
% 42.11/11.26  					|
% 42.11/11.26  						| Equations (299) can reduce 499 to:
% 42.11/11.26  						| (420) $false
% 42.11/11.26  						|
% 42.11/11.26  						|-The branch is then unsatisfiable
% 42.11/11.26  					|-Branch two:
% 42.11/11.26  					| (499)  ~ (all_0_37_37 = 0)
% 42.11/11.26  					| (732)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n5) = v0)
% 42.11/11.26  					|
% 42.11/11.26  						+-Applying beta-rule and splitting (224), into two cases.
% 42.11/11.26  						|-Branch one:
% 42.11/11.26  						| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.11/11.26  						|
% 42.11/11.26  							| Using (217) and (343) yields:
% 42.11/11.26  							| (302) $false
% 42.11/11.26  							|
% 42.11/11.26  							|-The branch is then unsatisfiable
% 42.11/11.26  						|-Branch two:
% 42.11/11.26  						| (217) leq(n0, all_0_43_43) = 0
% 42.11/11.26  						| (619) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n6) = v0)
% 42.11/11.26  						|
% 42.11/11.26  							+-Applying beta-rule and splitting (236), into two cases.
% 42.11/11.26  							|-Branch one:
% 42.11/11.27  							| (339)  ~ (leq(n0, n5) = 0)
% 42.11/11.27  							|
% 42.11/11.27  								| Using (291) and (339) yields:
% 42.11/11.27  								| (302) $false
% 42.11/11.27  								|
% 42.11/11.27  								|-The branch is then unsatisfiable
% 42.11/11.27  							|-Branch two:
% 42.11/11.27  							| (291) leq(n0, n5) = 0
% 42.47/11.27  							| (342) n5 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 42.47/11.27  							|
% 42.47/11.27  								+-Applying beta-rule and splitting (230), into two cases.
% 42.47/11.27  								|-Branch one:
% 42.47/11.27  								| (299) all_0_37_37 = 0
% 42.47/11.27  								|
% 42.47/11.27  									| Equations (299) can reduce 499 to:
% 42.47/11.27  									| (420) $false
% 42.47/11.27  									|
% 42.47/11.27  									|-The branch is then unsatisfiable
% 42.47/11.27  								|-Branch two:
% 42.47/11.27  								| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  								| (744)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n4) = v0)
% 42.47/11.27  								|
% 42.47/11.27  									+-Applying beta-rule and splitting (247), into two cases.
% 42.47/11.27  									|-Branch one:
% 42.47/11.27  									| (316) all_0_39_39 = 0
% 42.47/11.27  									|
% 42.47/11.27  										| From (316) and (81) follows:
% 42.47/11.27  										| (296) leq(n0, n3) = 0
% 42.47/11.27  										|
% 42.47/11.27  										+-Applying beta-rule and splitting (209), into two cases.
% 42.47/11.27  										|-Branch one:
% 42.47/11.27  										| (319)  ~ (leq(n0, n1) = all_0_38_38)
% 42.47/11.27  										|
% 42.47/11.27  											| From (305) and (319) follows:
% 42.47/11.27  											| (320)  ~ (leq(n0, n1) = 0)
% 42.47/11.27  											|
% 42.47/11.27  											| Using (298) and (320) yields:
% 42.47/11.27  											| (302) $false
% 42.47/11.27  											|
% 42.47/11.27  											|-The branch is then unsatisfiable
% 42.47/11.27  										|-Branch two:
% 42.47/11.27  										| (322) leq(n0, n1) = all_0_38_38
% 42.47/11.27  										| (323) all_0_38_38 = all_0_41_41
% 42.47/11.27  										|
% 42.47/11.27  											| Combining equations (305,323) yields a new equation:
% 42.47/11.27  											| (324) all_0_41_41 = 0
% 42.47/11.27  											|
% 42.47/11.27  											| From (324) and (114) follows:
% 42.47/11.27  											| (298) leq(n0, n1) = 0
% 42.47/11.27  											|
% 42.47/11.27  											+-Applying beta-rule and splitting (207), into two cases.
% 42.47/11.27  											|-Branch one:
% 42.47/11.27  											| (559)  ~ (leq(n0, n2) = all_0_39_39)
% 42.47/11.27  											|
% 42.47/11.27  												| From (316) and (559) follows:
% 42.47/11.27  												| (560)  ~ (leq(n0, n2) = 0)
% 42.47/11.27  												|
% 42.47/11.27  												| Using (297) and (560) yields:
% 42.47/11.27  												| (302) $false
% 42.47/11.27  												|
% 42.47/11.27  												|-The branch is then unsatisfiable
% 42.47/11.27  											|-Branch two:
% 42.47/11.27  											| (562) leq(n0, n2) = all_0_39_39
% 42.47/11.27  											| (563) all_0_39_39 = all_0_40_40
% 42.47/11.27  											|
% 42.47/11.27  												| Combining equations (316,563) yields a new equation:
% 42.47/11.27  												| (328) all_0_40_40 = 0
% 42.47/11.27  												|
% 42.47/11.27  												| From (328) and (92) follows:
% 42.47/11.27  												| (297) leq(n0, n2) = 0
% 42.47/11.27  												|
% 42.47/11.27  												+-Applying beta-rule and splitting (274), into two cases.
% 42.47/11.27  												|-Branch one:
% 42.47/11.27  												| (320)  ~ (leq(n0, n1) = 0)
% 42.47/11.27  												|
% 42.47/11.27  													| Using (298) and (320) yields:
% 42.47/11.27  													| (302) $false
% 42.47/11.27  													|
% 42.47/11.27  													|-The branch is then unsatisfiable
% 42.47/11.27  												|-Branch two:
% 42.47/11.27  												| (298) leq(n0, n1) = 0
% 42.47/11.27  												| (764) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n5) = v0)
% 42.47/11.27  												|
% 42.47/11.27  													+-Applying beta-rule and splitting (235), into two cases.
% 42.47/11.27  													|-Branch one:
% 42.47/11.27  													| (339)  ~ (leq(n0, n5) = 0)
% 42.47/11.27  													|
% 42.47/11.27  														| Using (291) and (339) yields:
% 42.47/11.27  														| (302) $false
% 42.47/11.27  														|
% 42.47/11.27  														|-The branch is then unsatisfiable
% 42.47/11.27  													|-Branch two:
% 42.47/11.27  													| (291) leq(n0, n5) = 0
% 42.47/11.27  													| (587) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n6) = v0)
% 42.47/11.27  													|
% 42.47/11.27  														+-Applying beta-rule and splitting (227), into two cases.
% 42.47/11.27  														|-Branch one:
% 42.47/11.27  														| (307)  ~ (leq(n0, n7) = 0)
% 42.47/11.27  														|
% 42.47/11.27  															| Using (286) and (307) yields:
% 42.47/11.27  															| (302) $false
% 42.47/11.27  															|
% 42.47/11.27  															|-The branch is then unsatisfiable
% 42.47/11.27  														|-Branch two:
% 42.47/11.27  														| (286) leq(n0, n7) = 0
% 42.47/11.27  														| (591) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n6) = v0)
% 42.47/11.27  														|
% 42.47/11.27  															+-Applying beta-rule and splitting (231), into two cases.
% 42.47/11.27  															|-Branch one:
% 42.47/11.27  															| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.47/11.27  															|
% 42.47/11.27  																| Using (217) and (343) yields:
% 42.47/11.27  																| (302) $false
% 42.47/11.27  																|
% 42.47/11.27  																|-The branch is then unsatisfiable
% 42.47/11.27  															|-Branch two:
% 42.47/11.27  															| (217) leq(n0, all_0_43_43) = 0
% 42.47/11.27  															| (776) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n5) = v0)
% 42.47/11.27  															|
% 42.47/11.27  																+-Applying beta-rule and splitting (764), into two cases.
% 42.47/11.27  																|-Branch one:
% 42.47/11.27  																| (299) all_0_37_37 = 0
% 42.47/11.27  																|
% 42.47/11.27  																	| Equations (299) can reduce 499 to:
% 42.47/11.27  																	| (420) $false
% 42.47/11.27  																	|
% 42.47/11.27  																	|-The branch is then unsatisfiable
% 42.47/11.27  																|-Branch two:
% 42.47/11.27  																| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  																| (780)  ? [v0] : ( ~ (v0 = 0) & leq(n1, n5) = v0)
% 42.47/11.27  																|
% 42.47/11.27  																	+-Applying beta-rule and splitting (776), into two cases.
% 42.47/11.27  																	|-Branch one:
% 42.47/11.27  																	| (299) all_0_37_37 = 0
% 42.47/11.27  																	|
% 42.47/11.27  																		| Equations (299) can reduce 499 to:
% 42.47/11.27  																		| (420) $false
% 42.47/11.27  																		|
% 42.47/11.27  																		|-The branch is then unsatisfiable
% 42.47/11.27  																	|-Branch two:
% 42.47/11.27  																	| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  																	| (784)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n5) = v0)
% 42.47/11.27  																	|
% 42.47/11.27  																		+-Applying beta-rule and splitting (245), into two cases.
% 42.47/11.27  																		|-Branch one:
% 42.47/11.27  																		| (624)  ~ (leq(n0, n4) = 0)
% 42.47/11.27  																		|
% 42.47/11.27  																			| Using (293) and (624) yields:
% 42.47/11.27  																			| (302) $false
% 42.47/11.27  																			|
% 42.47/11.27  																			|-The branch is then unsatisfiable
% 42.47/11.27  																		|-Branch two:
% 42.47/11.27  																		| (293) leq(n0, n4) = 0
% 42.47/11.27  																		| (788) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n5) = v0)
% 42.47/11.27  																		|
% 42.47/11.27  																			+-Applying beta-rule and splitting (788), into two cases.
% 42.47/11.27  																			|-Branch one:
% 42.47/11.27  																			| (299) all_0_37_37 = 0
% 42.47/11.27  																			|
% 42.47/11.27  																				| Equations (299) can reduce 499 to:
% 42.47/11.27  																				| (420) $false
% 42.47/11.27  																				|
% 42.47/11.27  																				|-The branch is then unsatisfiable
% 42.47/11.27  																			|-Branch two:
% 42.47/11.27  																			| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  																			| (792)  ? [v0] : ( ~ (v0 = 0) & leq(n4, n5) = v0)
% 42.47/11.27  																			|
% 42.47/11.27  																				+-Applying beta-rule and splitting (272), into two cases.
% 42.47/11.27  																				|-Branch one:
% 42.47/11.27  																				| (560)  ~ (leq(n0, n2) = 0)
% 42.47/11.27  																				|
% 42.47/11.27  																					| Using (297) and (560) yields:
% 42.47/11.27  																					| (302) $false
% 42.47/11.27  																					|
% 42.47/11.27  																					|-The branch is then unsatisfiable
% 42.47/11.27  																				|-Branch two:
% 42.47/11.27  																				| (297) leq(n0, n2) = 0
% 42.47/11.27  																				| (796) n2 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n0) = v0)
% 42.47/11.27  																				|
% 42.47/11.27  																					+-Applying beta-rule and splitting (233), into two cases.
% 42.47/11.27  																					|-Branch one:
% 42.47/11.27  																					| (301)  ~ (leq(n0, n6) = 0)
% 42.47/11.27  																					|
% 42.47/11.27  																						| Using (279) and (301) yields:
% 42.47/11.27  																						| (302) $false
% 42.47/11.27  																						|
% 42.47/11.27  																						|-The branch is then unsatisfiable
% 42.47/11.27  																					|-Branch two:
% 42.47/11.27  																					| (279) leq(n0, n6) = 0
% 42.47/11.27  																					| (800) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n5) = v0)
% 42.47/11.27  																					|
% 42.47/11.27  																						+-Applying beta-rule and splitting (234), into two cases.
% 42.47/11.27  																						|-Branch one:
% 42.47/11.27  																						| (307)  ~ (leq(n0, n7) = 0)
% 42.47/11.27  																						|
% 42.47/11.27  																							| Using (286) and (307) yields:
% 42.47/11.27  																							| (302) $false
% 42.47/11.27  																							|
% 42.47/11.27  																							|-The branch is then unsatisfiable
% 42.47/11.27  																						|-Branch two:
% 42.47/11.27  																						| (286) leq(n0, n7) = 0
% 42.47/11.27  																						| (804) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n5) = v0)
% 42.47/11.27  																						|
% 42.47/11.27  																							+-Applying beta-rule and splitting (256), into two cases.
% 42.47/11.27  																							|-Branch one:
% 42.47/11.27  																							| (312)  ~ (leq(n0, n3) = 0)
% 42.47/11.27  																							|
% 42.47/11.27  																								| Using (296) and (312) yields:
% 42.47/11.27  																								| (302) $false
% 42.47/11.27  																								|
% 42.47/11.27  																								|-The branch is then unsatisfiable
% 42.47/11.27  																							|-Branch two:
% 42.47/11.27  																							| (296) leq(n0, n3) = 0
% 42.47/11.27  																							| (808) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n5) = v0)
% 42.47/11.27  																							|
% 42.47/11.27  																								+-Applying beta-rule and splitting (804), into two cases.
% 42.47/11.27  																								|-Branch one:
% 42.47/11.27  																								| (299) all_0_37_37 = 0
% 42.47/11.27  																								|
% 42.47/11.27  																									| Equations (299) can reduce 499 to:
% 42.47/11.27  																									| (420) $false
% 42.47/11.27  																									|
% 42.47/11.27  																									|-The branch is then unsatisfiable
% 42.47/11.27  																								|-Branch two:
% 42.47/11.27  																								| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  																								| (812)  ? [v0] : ( ~ (v0 = 0) & leq(n7, n5) = v0)
% 42.47/11.27  																								|
% 42.47/11.27  																									+-Applying beta-rule and splitting (808), into two cases.
% 42.47/11.27  																									|-Branch one:
% 42.47/11.27  																									| (299) all_0_37_37 = 0
% 42.47/11.27  																									|
% 42.47/11.27  																										| Equations (299) can reduce 499 to:
% 42.47/11.27  																										| (420) $false
% 42.47/11.27  																										|
% 42.47/11.27  																										|-The branch is then unsatisfiable
% 42.47/11.27  																									|-Branch two:
% 42.47/11.27  																									| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  																									| (816)  ? [v0] : ( ~ (v0 = 0) & leq(n3, n5) = v0)
% 42.47/11.27  																									|
% 42.47/11.27  																										+-Applying beta-rule and splitting (800), into two cases.
% 42.47/11.27  																										|-Branch one:
% 42.47/11.27  																										| (299) all_0_37_37 = 0
% 42.47/11.27  																										|
% 42.47/11.27  																											| Equations (299) can reduce 499 to:
% 42.47/11.27  																											| (420) $false
% 42.47/11.27  																											|
% 42.47/11.27  																											|-The branch is then unsatisfiable
% 42.47/11.27  																										|-Branch two:
% 42.47/11.27  																										| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.27  																										| (820)  ? [v0] : ( ~ (v0 = 0) & leq(n6, n5) = v0)
% 42.47/11.27  																										|
% 42.47/11.27  																											+-Applying beta-rule and splitting (268), into two cases.
% 42.47/11.27  																											|-Branch one:
% 42.47/11.27  																											| (560)  ~ (leq(n0, n2) = 0)
% 42.47/11.27  																											|
% 42.47/11.27  																												| Using (297) and (560) yields:
% 42.47/11.27  																												| (302) $false
% 42.47/11.27  																												|
% 42.47/11.27  																												|-The branch is then unsatisfiable
% 42.47/11.27  																											|-Branch two:
% 42.47/11.27  																											| (297) leq(n0, n2) = 0
% 42.47/11.27  																											| (615) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n6) = v0)
% 42.47/11.27  																											|
% 42.47/11.27  																												+-Applying beta-rule and splitting (269), into two cases.
% 42.47/11.27  																												|-Branch one:
% 42.47/11.27  																												| (560)  ~ (leq(n0, n2) = 0)
% 42.47/11.27  																												|
% 42.47/11.27  																													| Using (297) and (560) yields:
% 42.47/11.27  																													| (302) $false
% 42.47/11.27  																													|
% 42.47/11.27  																													|-The branch is then unsatisfiable
% 42.47/11.27  																												|-Branch two:
% 42.47/11.27  																												| (297) leq(n0, n2) = 0
% 42.47/11.27  																												| (828) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n5) = v0)
% 42.47/11.28  																												|
% 42.47/11.28  																													+-Applying beta-rule and splitting (828), into two cases.
% 42.47/11.28  																													|-Branch one:
% 42.47/11.28  																													| (299) all_0_37_37 = 0
% 42.47/11.28  																													|
% 42.47/11.28  																														| Equations (299) can reduce 499 to:
% 42.47/11.28  																														| (420) $false
% 42.47/11.28  																														|
% 42.47/11.28  																														|-The branch is then unsatisfiable
% 42.47/11.28  																													|-Branch two:
% 42.47/11.28  																													| (499)  ~ (all_0_37_37 = 0)
% 42.47/11.28  																													| (832)  ? [v0] : ( ~ (v0 = 0) & leq(n2, n5) = v0)
% 42.47/11.28  																													|
% 42.47/11.28  																														| Instantiating formula (10) with n0, n5, 0, all_0_37_37 and discharging atoms leq(n0, n5) = all_0_37_37, leq(n0, n5) = 0, yields:
% 42.51/11.28  																														| (299) all_0_37_37 = 0
% 42.51/11.28  																														|
% 42.51/11.28  																														| Equations (299) can reduce 499 to:
% 42.51/11.28  																														| (420) $false
% 42.51/11.28  																														|
% 42.51/11.28  																														|-The branch is then unsatisfiable
% 42.51/11.28  									|-Branch two:
% 42.51/11.28  									| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.28  									| (836)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n2) = v0)
% 42.51/11.28  									|
% 42.51/11.28  										+-Applying beta-rule and splitting (248), into two cases.
% 42.51/11.28  										|-Branch one:
% 42.51/11.28  										| (316) all_0_39_39 = 0
% 42.51/11.28  										|
% 42.51/11.28  											| Equations (316) can reduce 507 to:
% 42.51/11.28  											| (420) $false
% 42.51/11.28  											|
% 42.51/11.28  											|-The branch is then unsatisfiable
% 42.51/11.28  										|-Branch two:
% 42.51/11.28  										| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.28  										| (840)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n2) = v0)
% 42.51/11.28  										|
% 42.51/11.28  											+-Applying beta-rule and splitting (209), into two cases.
% 42.51/11.28  											|-Branch one:
% 42.51/11.28  											| (319)  ~ (leq(n0, n1) = all_0_38_38)
% 42.51/11.28  											|
% 42.51/11.28  												| From (305) and (319) follows:
% 42.51/11.28  												| (320)  ~ (leq(n0, n1) = 0)
% 42.51/11.28  												|
% 42.51/11.28  												| Using (298) and (320) yields:
% 42.51/11.28  												| (302) $false
% 42.51/11.28  												|
% 42.51/11.28  												|-The branch is then unsatisfiable
% 42.51/11.28  											|-Branch two:
% 42.51/11.28  											| (322) leq(n0, n1) = all_0_38_38
% 42.51/11.28  											| (323) all_0_38_38 = all_0_41_41
% 42.51/11.28  											|
% 42.51/11.28  												| Combining equations (305,323) yields a new equation:
% 42.51/11.28  												| (324) all_0_41_41 = 0
% 42.51/11.28  												|
% 42.51/11.28  												| Combining equations (324,323) yields a new equation:
% 42.51/11.28  												| (305) all_0_38_38 = 0
% 42.51/11.28  												|
% 42.51/11.28  												+-Applying beta-rule and splitting (206), into two cases.
% 42.51/11.28  												|-Branch one:
% 42.51/11.28  												| (311)  ~ (leq(n0, n3) = all_0_38_38)
% 42.51/11.28  												|
% 42.51/11.28  													| From (305) and (311) follows:
% 42.51/11.28  													| (312)  ~ (leq(n0, n3) = 0)
% 42.51/11.28  													|
% 42.51/11.28  													| Using (296) and (312) yields:
% 42.51/11.28  													| (302) $false
% 42.51/11.28  													|
% 42.51/11.28  													|-The branch is then unsatisfiable
% 42.51/11.28  												|-Branch two:
% 42.51/11.28  												| (314) leq(n0, n3) = all_0_38_38
% 42.51/11.28  												| (315) all_0_38_38 = all_0_39_39
% 42.51/11.28  												|
% 42.51/11.28  													| Combining equations (305,315) yields a new equation:
% 42.51/11.28  													| (316) all_0_39_39 = 0
% 42.51/11.28  													|
% 42.51/11.28  													| Equations (316) can reduce 507 to:
% 42.51/11.28  													| (420) $false
% 42.51/11.28  													|
% 42.51/11.28  													|-The branch is then unsatisfiable
% 42.51/11.28  		|-Branch two:
% 42.51/11.28  		| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.28  		| (663)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n3) = v0)
% 42.51/11.28  		|
% 42.51/11.28  			+-Applying beta-rule and splitting (228), into two cases.
% 42.51/11.28  			|-Branch one:
% 42.51/11.28  			| (307)  ~ (leq(n0, n7) = 0)
% 42.51/11.28  			|
% 42.51/11.28  				| Using (286) and (307) yields:
% 42.51/11.28  				| (302) $false
% 42.51/11.28  				|
% 42.51/11.28  				|-The branch is then unsatisfiable
% 42.51/11.28  			|-Branch two:
% 42.51/11.28  			| (286) leq(n0, n7) = 0
% 42.51/11.28  			| (310) n7 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n0) = v0)
% 42.51/11.28  			|
% 42.51/11.28  				+-Applying beta-rule and splitting (232), into two cases.
% 42.51/11.28  				|-Branch one:
% 42.51/11.28  				| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.51/11.28  				|
% 42.51/11.28  					| Using (218) and (329) yields:
% 42.51/11.28  					| (302) $false
% 42.51/11.28  					|
% 42.51/11.28  					|-The branch is then unsatisfiable
% 42.51/11.28  				|-Branch two:
% 42.51/11.28  				| (218) leq(n0, all_0_44_44) = 0
% 42.51/11.28  				| (728) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n5) = v0)
% 42.51/11.28  				|
% 42.51/11.28  					+-Applying beta-rule and splitting (238), into two cases.
% 42.51/11.28  					|-Branch one:
% 42.51/11.28  					| (305) all_0_38_38 = 0
% 42.51/11.28  					|
% 42.51/11.28  						| Equations (305) can reduce 503 to:
% 42.51/11.28  						| (420) $false
% 42.51/11.28  						|
% 42.51/11.28  						|-The branch is then unsatisfiable
% 42.51/11.28  					|-Branch two:
% 42.51/11.28  					| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.28  					| (671)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n3) = v0)
% 42.51/11.28  					|
% 42.51/11.28  						| Instantiating (671) with all_73_0_159 yields:
% 42.51/11.28  						| (869)  ~ (all_73_0_159 = 0) & leq(n0, n3) = all_73_0_159
% 42.51/11.28  						|
% 42.51/11.28  						| Applying alpha-rule on (869) yields:
% 42.51/11.28  						| (870)  ~ (all_73_0_159 = 0)
% 42.51/11.28  						| (871) leq(n0, n3) = all_73_0_159
% 42.51/11.28  						|
% 42.51/11.28  						+-Applying beta-rule and splitting (225), into two cases.
% 42.51/11.28  						|-Branch one:
% 42.51/11.28  						| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.51/11.28  						|
% 42.51/11.28  							| Using (218) and (329) yields:
% 42.51/11.28  							| (302) $false
% 42.51/11.28  							|
% 42.51/11.28  							|-The branch is then unsatisfiable
% 42.51/11.28  						|-Branch two:
% 42.51/11.28  						| (218) leq(n0, all_0_44_44) = 0
% 42.51/11.28  						| (623) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n6) = v0)
% 42.51/11.28  						|
% 42.51/11.28  							+-Applying beta-rule and splitting (224), into two cases.
% 42.51/11.28  							|-Branch one:
% 42.51/11.28  							| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.51/11.28  							|
% 42.51/11.28  								| Using (217) and (343) yields:
% 42.51/11.28  								| (302) $false
% 42.51/11.28  								|
% 42.51/11.28  								|-The branch is then unsatisfiable
% 42.51/11.28  							|-Branch two:
% 42.51/11.28  							| (217) leq(n0, all_0_43_43) = 0
% 42.51/11.28  							| (619) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n6) = v0)
% 42.51/11.28  							|
% 42.51/11.28  								+-Applying beta-rule and splitting (240), into two cases.
% 42.51/11.28  								|-Branch one:
% 42.51/11.28  								| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.51/11.28  								|
% 42.51/11.28  									| Using (218) and (329) yields:
% 42.51/11.28  									| (302) $false
% 42.51/11.28  									|
% 42.51/11.28  									|-The branch is then unsatisfiable
% 42.51/11.28  								|-Branch two:
% 42.51/11.28  								| (218) leq(n0, all_0_44_44) = 0
% 42.51/11.28  								| (883) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n4) = v0)
% 42.51/11.28  								|
% 42.51/11.28  									+-Applying beta-rule and splitting (239), into two cases.
% 42.51/11.28  									|-Branch one:
% 42.51/11.28  									| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.51/11.28  									|
% 42.51/11.28  										| Using (217) and (343) yields:
% 42.51/11.28  										| (302) $false
% 42.51/11.28  										|
% 42.51/11.28  										|-The branch is then unsatisfiable
% 42.51/11.28  									|-Branch two:
% 42.51/11.28  									| (217) leq(n0, all_0_43_43) = 0
% 42.51/11.28  									| (887) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n4) = v0)
% 42.51/11.28  									|
% 42.51/11.28  										+-Applying beta-rule and splitting (236), into two cases.
% 42.51/11.28  										|-Branch one:
% 42.51/11.28  										| (339)  ~ (leq(n0, n5) = 0)
% 42.51/11.28  										|
% 42.51/11.28  											| Using (291) and (339) yields:
% 42.51/11.28  											| (302) $false
% 42.51/11.28  											|
% 42.51/11.28  											|-The branch is then unsatisfiable
% 42.51/11.28  										|-Branch two:
% 42.51/11.28  										| (291) leq(n0, n5) = 0
% 42.51/11.28  										| (342) n5 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n0) = v0)
% 42.51/11.28  										|
% 42.51/11.28  											+-Applying beta-rule and splitting (243), into two cases.
% 42.51/11.28  											|-Branch one:
% 42.51/11.28  											| (339)  ~ (leq(n0, n5) = 0)
% 42.51/11.28  											|
% 42.51/11.28  												| Using (291) and (339) yields:
% 42.51/11.28  												| (302) $false
% 42.51/11.28  												|
% 42.51/11.28  												|-The branch is then unsatisfiable
% 42.51/11.28  											|-Branch two:
% 42.51/11.28  											| (291) leq(n0, n5) = 0
% 42.51/11.28  											| (690) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n4) = v0)
% 42.51/11.28  											|
% 42.51/11.28  												+-Applying beta-rule and splitting (241), into two cases.
% 42.51/11.28  												|-Branch one:
% 42.51/11.28  												| (301)  ~ (leq(n0, n6) = 0)
% 42.51/11.28  												|
% 42.51/11.28  													| Using (279) and (301) yields:
% 42.51/11.28  													| (302) $false
% 42.51/11.28  													|
% 42.51/11.28  													|-The branch is then unsatisfiable
% 42.51/11.28  												|-Branch two:
% 42.51/11.28  												| (279) leq(n0, n6) = 0
% 42.51/11.28  												| (899) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n4) = v0)
% 42.51/11.28  												|
% 42.51/11.28  													+-Applying beta-rule and splitting (242), into two cases.
% 42.51/11.28  													|-Branch one:
% 42.51/11.28  													| (307)  ~ (leq(n0, n7) = 0)
% 42.51/11.28  													|
% 42.51/11.28  														| Using (286) and (307) yields:
% 42.51/11.28  														| (302) $false
% 42.51/11.28  														|
% 42.51/11.28  														|-The branch is then unsatisfiable
% 42.51/11.28  													|-Branch two:
% 42.51/11.28  													| (286) leq(n0, n7) = 0
% 42.51/11.28  													| (686) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n4) = v0)
% 42.51/11.28  													|
% 42.51/11.29  														+-Applying beta-rule and splitting (235), into two cases.
% 42.51/11.29  														|-Branch one:
% 42.51/11.29  														| (339)  ~ (leq(n0, n5) = 0)
% 42.51/11.29  														|
% 42.51/11.29  															| Using (291) and (339) yields:
% 42.51/11.29  															| (302) $false
% 42.51/11.29  															|
% 42.51/11.29  															|-The branch is then unsatisfiable
% 42.51/11.29  														|-Branch two:
% 42.51/11.29  														| (291) leq(n0, n5) = 0
% 42.51/11.29  														| (587) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n6) = v0)
% 42.51/11.29  														|
% 42.51/11.29  															+-Applying beta-rule and splitting (227), into two cases.
% 42.51/11.29  															|-Branch one:
% 42.51/11.29  															| (307)  ~ (leq(n0, n7) = 0)
% 42.51/11.29  															|
% 42.51/11.29  																| Using (286) and (307) yields:
% 42.51/11.29  																| (302) $false
% 42.51/11.29  																|
% 42.51/11.29  																|-The branch is then unsatisfiable
% 42.51/11.29  															|-Branch two:
% 42.51/11.29  															| (286) leq(n0, n7) = 0
% 42.51/11.29  															| (591) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n6) = v0)
% 42.51/11.29  															|
% 42.51/11.29  																+-Applying beta-rule and splitting (231), into two cases.
% 42.51/11.29  																|-Branch one:
% 42.51/11.29  																| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.51/11.29  																|
% 42.51/11.29  																	| Using (217) and (343) yields:
% 42.51/11.29  																	| (302) $false
% 42.51/11.29  																	|
% 42.51/11.29  																	|-The branch is then unsatisfiable
% 42.51/11.29  																|-Branch two:
% 42.51/11.29  																| (217) leq(n0, all_0_43_43) = 0
% 42.51/11.29  																| (776) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n5) = v0)
% 42.51/11.29  																|
% 42.51/11.29  																	+-Applying beta-rule and splitting (883), into two cases.
% 42.51/11.29  																	|-Branch one:
% 42.51/11.29  																	| (305) all_0_38_38 = 0
% 42.51/11.29  																	|
% 42.51/11.29  																		| Equations (305) can reduce 503 to:
% 42.51/11.29  																		| (420) $false
% 42.51/11.29  																		|
% 42.51/11.29  																		|-The branch is then unsatisfiable
% 42.51/11.29  																	|-Branch two:
% 42.51/11.29  																	| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																	| (919)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n4) = v0)
% 42.51/11.29  																	|
% 42.51/11.29  																		+-Applying beta-rule and splitting (887), into two cases.
% 42.51/11.29  																		|-Branch one:
% 42.51/11.29  																		| (305) all_0_38_38 = 0
% 42.51/11.29  																		|
% 42.51/11.29  																			| Equations (305) can reduce 503 to:
% 42.51/11.29  																			| (420) $false
% 42.51/11.29  																			|
% 42.51/11.29  																			|-The branch is then unsatisfiable
% 42.51/11.29  																		|-Branch two:
% 42.51/11.29  																		| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																		| (923)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n4) = v0)
% 42.51/11.29  																		|
% 42.51/11.29  																			+-Applying beta-rule and splitting (690), into two cases.
% 42.51/11.29  																			|-Branch one:
% 42.51/11.29  																			| (305) all_0_38_38 = 0
% 42.51/11.29  																			|
% 42.51/11.29  																				| Equations (305) can reduce 503 to:
% 42.51/11.29  																				| (420) $false
% 42.51/11.29  																				|
% 42.51/11.29  																				|-The branch is then unsatisfiable
% 42.51/11.29  																			|-Branch two:
% 42.51/11.29  																			| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																			| (698)  ? [v0] : ( ~ (v0 = 0) & leq(n5, n4) = v0)
% 42.51/11.29  																			|
% 42.51/11.29  																				+-Applying beta-rule and splitting (899), into two cases.
% 42.51/11.29  																				|-Branch one:
% 42.51/11.29  																				| (305) all_0_38_38 = 0
% 42.51/11.29  																				|
% 42.51/11.29  																					| Equations (305) can reduce 503 to:
% 42.51/11.29  																					| (420) $false
% 42.51/11.29  																					|
% 42.51/11.29  																					|-The branch is then unsatisfiable
% 42.51/11.29  																				|-Branch two:
% 42.51/11.29  																				| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																				| (931)  ? [v0] : ( ~ (v0 = 0) & leq(n6, n4) = v0)
% 42.51/11.29  																				|
% 42.51/11.29  																					+-Applying beta-rule and splitting (686), into two cases.
% 42.51/11.29  																					|-Branch one:
% 42.51/11.29  																					| (305) all_0_38_38 = 0
% 42.51/11.29  																					|
% 42.51/11.29  																						| Equations (305) can reduce 503 to:
% 42.51/11.29  																						| (420) $false
% 42.51/11.29  																						|
% 42.51/11.29  																						|-The branch is then unsatisfiable
% 42.51/11.29  																					|-Branch two:
% 42.51/11.29  																					| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																					| (694)  ? [v0] : ( ~ (v0 = 0) & leq(n7, n4) = v0)
% 42.51/11.29  																					|
% 42.51/11.29  																						+-Applying beta-rule and splitting (245), into two cases.
% 42.51/11.29  																						|-Branch one:
% 42.51/11.29  																						| (624)  ~ (leq(n0, n4) = 0)
% 42.51/11.29  																						|
% 42.51/11.29  																							| Using (293) and (624) yields:
% 42.51/11.29  																							| (302) $false
% 42.51/11.29  																							|
% 42.51/11.29  																							|-The branch is then unsatisfiable
% 42.51/11.29  																						|-Branch two:
% 42.51/11.29  																						| (293) leq(n0, n4) = 0
% 42.51/11.29  																						| (788) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n5) = v0)
% 42.51/11.29  																						|
% 42.51/11.29  																							+-Applying beta-rule and splitting (221), into two cases.
% 42.51/11.29  																							|-Branch one:
% 42.51/11.29  																							| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.51/11.29  																							|
% 42.51/11.29  																								| Using (218) and (329) yields:
% 42.51/11.29  																								| (302) $false
% 42.51/11.29  																								|
% 42.51/11.29  																								|-The branch is then unsatisfiable
% 42.51/11.29  																							|-Branch two:
% 42.51/11.29  																							| (218) leq(n0, all_0_44_44) = 0
% 42.51/11.29  																							| (332) gt(all_0_44_44, tptp_minus_1) = 0
% 42.51/11.29  																							|
% 42.51/11.29  																								+-Applying beta-rule and splitting (233), into two cases.
% 42.51/11.29  																								|-Branch one:
% 42.51/11.29  																								| (301)  ~ (leq(n0, n6) = 0)
% 42.51/11.29  																								|
% 42.51/11.29  																									| Using (279) and (301) yields:
% 42.51/11.29  																									| (302) $false
% 42.51/11.29  																									|
% 42.51/11.29  																									|-The branch is then unsatisfiable
% 42.51/11.29  																								|-Branch two:
% 42.51/11.29  																								| (279) leq(n0, n6) = 0
% 42.51/11.29  																								| (800) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n5) = v0)
% 42.51/11.29  																								|
% 42.51/11.29  																									+-Applying beta-rule and splitting (234), into two cases.
% 42.51/11.29  																									|-Branch one:
% 42.51/11.29  																									| (307)  ~ (leq(n0, n7) = 0)
% 42.51/11.29  																									|
% 42.51/11.29  																										| Using (286) and (307) yields:
% 42.51/11.29  																										| (302) $false
% 42.51/11.29  																										|
% 42.51/11.29  																										|-The branch is then unsatisfiable
% 42.51/11.29  																									|-Branch two:
% 42.51/11.29  																									| (286) leq(n0, n7) = 0
% 42.51/11.29  																									| (804) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n5) = v0)
% 42.51/11.29  																									|
% 42.51/11.29  																										+-Applying beta-rule and splitting (220), into two cases.
% 42.51/11.29  																										|-Branch one:
% 42.51/11.29  																										| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.51/11.29  																										|
% 42.51/11.29  																											| Using (217) and (343) yields:
% 42.51/11.29  																											| (302) $false
% 42.51/11.29  																											|
% 42.51/11.29  																											|-The branch is then unsatisfiable
% 42.51/11.29  																										|-Branch two:
% 42.51/11.29  																										| (217) leq(n0, all_0_43_43) = 0
% 42.51/11.29  																										| (346) gt(all_0_43_43, tptp_minus_1) = 0
% 42.51/11.29  																										|
% 42.51/11.29  																											+-Applying beta-rule and splitting (259), into two cases.
% 42.51/11.29  																											|-Branch one:
% 42.51/11.29  																											| (328) all_0_40_40 = 0
% 42.51/11.29  																											|
% 42.51/11.29  																												| From (328) and (92) follows:
% 42.51/11.29  																												| (297) leq(n0, n2) = 0
% 42.51/11.29  																												|
% 42.51/11.29  																												+-Applying beta-rule and splitting (210), into two cases.
% 42.51/11.29  																												|-Branch one:
% 42.51/11.29  																												| (958)  ~ (leq(n0, n1) = all_0_40_40)
% 42.51/11.29  																												|
% 42.51/11.29  																													| From (328) and (958) follows:
% 42.51/11.29  																													| (320)  ~ (leq(n0, n1) = 0)
% 42.51/11.29  																													|
% 42.51/11.29  																													| Using (298) and (320) yields:
% 42.51/11.29  																													| (302) $false
% 42.51/11.29  																													|
% 42.51/11.29  																													|-The branch is then unsatisfiable
% 42.51/11.29  																												|-Branch two:
% 42.51/11.29  																												| (961) leq(n0, n1) = all_0_40_40
% 42.51/11.29  																												| (962) all_0_40_40 = all_0_41_41
% 42.51/11.29  																												|
% 42.51/11.29  																													| Combining equations (328,962) yields a new equation:
% 42.51/11.29  																													| (324) all_0_41_41 = 0
% 42.51/11.29  																													|
% 42.51/11.29  																													| From (324) and (114) follows:
% 42.51/11.29  																													| (298) leq(n0, n1) = 0
% 42.51/11.29  																													|
% 42.51/11.29  																													+-Applying beta-rule and splitting (247), into two cases.
% 42.51/11.29  																													|-Branch one:
% 42.51/11.29  																													| (316) all_0_39_39 = 0
% 42.51/11.29  																													|
% 42.51/11.29  																														| From (316) and (81) follows:
% 42.51/11.29  																														| (296) leq(n0, n3) = 0
% 42.51/11.29  																														|
% 42.51/11.29  																														+-Applying beta-rule and splitting (270), into two cases.
% 42.51/11.29  																														|-Branch one:
% 42.51/11.29  																														| (560)  ~ (leq(n0, n2) = 0)
% 42.51/11.29  																														|
% 42.51/11.29  																															| Using (297) and (560) yields:
% 42.51/11.29  																															| (302) $false
% 42.51/11.29  																															|
% 42.51/11.29  																															|-The branch is then unsatisfiable
% 42.51/11.29  																														|-Branch two:
% 42.51/11.29  																														| (297) leq(n0, n2) = 0
% 42.51/11.29  																														| (970) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n4) = v0)
% 42.51/11.29  																														|
% 42.51/11.29  																															+-Applying beta-rule and splitting (257), into two cases.
% 42.51/11.29  																															|-Branch one:
% 42.51/11.29  																															| (312)  ~ (leq(n0, n3) = 0)
% 42.51/11.29  																															|
% 42.51/11.29  																																| Using (296) and (312) yields:
% 42.51/11.29  																																| (302) $false
% 42.51/11.29  																																|
% 42.51/11.29  																																|-The branch is then unsatisfiable
% 42.51/11.29  																															|-Branch two:
% 42.51/11.29  																															| (296) leq(n0, n3) = 0
% 42.51/11.29  																															| (974) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n4) = v0)
% 42.51/11.29  																															|
% 42.51/11.29  																																+-Applying beta-rule and splitting (974), into two cases.
% 42.51/11.29  																																|-Branch one:
% 42.51/11.29  																																| (305) all_0_38_38 = 0
% 42.51/11.29  																																|
% 42.51/11.29  																																	| Equations (305) can reduce 503 to:
% 42.51/11.29  																																	| (420) $false
% 42.51/11.29  																																	|
% 42.51/11.29  																																	|-The branch is then unsatisfiable
% 42.51/11.29  																																|-Branch two:
% 42.51/11.29  																																| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																																| (978)  ? [v0] : ( ~ (v0 = 0) & leq(n3, n4) = v0)
% 42.51/11.29  																																|
% 42.51/11.29  																																	+-Applying beta-rule and splitting (275), into two cases.
% 42.51/11.29  																																	|-Branch one:
% 42.51/11.29  																																	| (320)  ~ (leq(n0, n1) = 0)
% 42.51/11.29  																																	|
% 42.51/11.29  																																		| Using (298) and (320) yields:
% 42.51/11.29  																																		| (302) $false
% 42.51/11.29  																																		|
% 42.51/11.29  																																		|-The branch is then unsatisfiable
% 42.51/11.29  																																	|-Branch two:
% 42.51/11.29  																																	| (298) leq(n0, n1) = 0
% 42.51/11.29  																																	| (982) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n4) = v0)
% 42.51/11.29  																																	|
% 42.51/11.29  																																		+-Applying beta-rule and splitting (982), into two cases.
% 42.51/11.29  																																		|-Branch one:
% 42.51/11.29  																																		| (305) all_0_38_38 = 0
% 42.51/11.29  																																		|
% 42.51/11.29  																																			| Equations (305) can reduce 503 to:
% 42.51/11.29  																																			| (420) $false
% 42.51/11.29  																																			|
% 42.51/11.29  																																			|-The branch is then unsatisfiable
% 42.51/11.29  																																		|-Branch two:
% 42.51/11.29  																																		| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																																		| (986)  ? [v0] : ( ~ (v0 = 0) & leq(n1, n4) = v0)
% 42.51/11.29  																																		|
% 42.51/11.29  																																			+-Applying beta-rule and splitting (970), into two cases.
% 42.51/11.29  																																			|-Branch one:
% 42.51/11.29  																																			| (305) all_0_38_38 = 0
% 42.51/11.29  																																			|
% 42.51/11.29  																																				| Equations (305) can reduce 503 to:
% 42.51/11.29  																																				| (420) $false
% 42.51/11.29  																																				|
% 42.51/11.29  																																				|-The branch is then unsatisfiable
% 42.51/11.29  																																			|-Branch two:
% 42.51/11.29  																																			| (503)  ~ (all_0_38_38 = 0)
% 42.51/11.29  																																			| (990)  ? [v0] : ( ~ (v0 = 0) & leq(n2, n4) = v0)
% 42.51/11.30  																																			|
% 42.51/11.30  																																				+-Applying beta-rule and splitting (244), into two cases.
% 42.51/11.30  																																				|-Branch one:
% 42.51/11.30  																																				| (624)  ~ (leq(n0, n4) = 0)
% 42.51/11.30  																																				|
% 42.51/11.30  																																					| Using (293) and (624) yields:
% 42.51/11.30  																																					| (302) $false
% 42.51/11.30  																																					|
% 42.51/11.30  																																					|-The branch is then unsatisfiable
% 42.51/11.30  																																				|-Branch two:
% 42.51/11.30  																																				| (293) leq(n0, n4) = 0
% 42.51/11.30  																																				| (647) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n6) = v0)
% 42.51/11.30  																																				|
% 42.51/11.30  																																					+-Applying beta-rule and splitting (246), into two cases.
% 42.51/11.30  																																					|-Branch one:
% 42.51/11.30  																																					| (624)  ~ (leq(n0, n4) = 0)
% 42.51/11.30  																																					|
% 42.51/11.30  																																						| Using (293) and (624) yields:
% 42.51/11.30  																																						| (302) $false
% 42.51/11.30  																																						|
% 42.51/11.30  																																						|-The branch is then unsatisfiable
% 42.51/11.30  																																					|-Branch two:
% 42.51/11.30  																																					| (293) leq(n0, n4) = 0
% 42.51/11.30  																																					| (627) n4 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0)
% 42.51/11.30  																																					|
% 42.51/11.30  																																						| Instantiating formula (10) with n0, n4, 0, all_0_38_38 and discharging atoms leq(n0, n4) = all_0_38_38, leq(n0, n4) = 0, yields:
% 42.51/11.30  																																						| (305) all_0_38_38 = 0
% 42.51/11.30  																																						|
% 42.51/11.30  																																						| Equations (305) can reduce 503 to:
% 42.51/11.30  																																						| (420) $false
% 42.51/11.30  																																						|
% 42.51/11.30  																																						|-The branch is then unsatisfiable
% 42.51/11.30  																													|-Branch two:
% 42.51/11.30  																													| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.30  																													| (836)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n2) = v0)
% 42.51/11.30  																													|
% 42.51/11.30  																														+-Applying beta-rule and splitting (270), into two cases.
% 42.51/11.30  																														|-Branch one:
% 42.51/11.30  																														| (560)  ~ (leq(n0, n2) = 0)
% 42.51/11.30  																														|
% 42.51/11.30  																															| Using (297) and (560) yields:
% 42.51/11.30  																															| (302) $false
% 42.51/11.30  																															|
% 42.51/11.30  																															|-The branch is then unsatisfiable
% 42.51/11.30  																														|-Branch two:
% 42.51/11.30  																														| (297) leq(n0, n2) = 0
% 42.51/11.30  																														| (970) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n4) = v0)
% 42.51/11.30  																														|
% 42.51/11.30  																															+-Applying beta-rule and splitting (272), into two cases.
% 42.51/11.30  																															|-Branch one:
% 42.51/11.30  																															| (560)  ~ (leq(n0, n2) = 0)
% 42.51/11.30  																															|
% 42.51/11.30  																																| Using (297) and (560) yields:
% 42.51/11.30  																																| (302) $false
% 42.51/11.30  																																|
% 42.51/11.30  																																|-The branch is then unsatisfiable
% 42.51/11.30  																															|-Branch two:
% 42.51/11.30  																															| (297) leq(n0, n2) = 0
% 42.51/11.30  																															| (796) n2 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n0) = v0)
% 42.51/11.30  																															|
% 42.51/11.30  																																+-Applying beta-rule and splitting (256), into two cases.
% 42.51/11.30  																																|-Branch one:
% 42.51/11.30  																																| (312)  ~ (leq(n0, n3) = 0)
% 42.51/11.30  																																|
% 42.51/11.30  																																	| Using (296) and (312) yields:
% 42.51/11.30  																																	| (302) $false
% 42.51/11.30  																																	|
% 42.51/11.30  																																	|-The branch is then unsatisfiable
% 42.51/11.30  																																|-Branch two:
% 42.51/11.30  																																| (296) leq(n0, n3) = 0
% 42.51/11.30  																																| (808) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n5) = v0)
% 42.51/11.30  																																|
% 42.51/11.30  																																	+-Applying beta-rule and splitting (244), into two cases.
% 42.51/11.30  																																	|-Branch one:
% 42.51/11.30  																																	| (624)  ~ (leq(n0, n4) = 0)
% 42.51/11.30  																																	|
% 42.51/11.30  																																		| Using (293) and (624) yields:
% 42.51/11.30  																																		| (302) $false
% 42.51/11.30  																																		|
% 42.51/11.30  																																		|-The branch is then unsatisfiable
% 42.51/11.30  																																	|-Branch two:
% 42.51/11.30  																																	| (293) leq(n0, n4) = 0
% 42.51/11.30  																																	| (647) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n6) = v0)
% 42.51/11.30  																																	|
% 42.51/11.30  																																		+-Applying beta-rule and splitting (258), into two cases.
% 42.51/11.30  																																		|-Branch one:
% 42.51/11.30  																																		| (312)  ~ (leq(n0, n3) = 0)
% 42.51/11.30  																																		|
% 42.51/11.30  																																			| Using (296) and (312) yields:
% 42.51/11.30  																																			| (302) $false
% 42.51/11.30  																																			|
% 42.51/11.30  																																			|-The branch is then unsatisfiable
% 42.51/11.30  																																		|-Branch two:
% 42.51/11.30  																																		| (296) leq(n0, n3) = 0
% 42.51/11.30  																																		| (1022) n3 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0)
% 42.51/11.30  																																		|
% 42.51/11.30  																																			+-Applying beta-rule and splitting (255), into two cases.
% 42.51/11.30  																																			|-Branch one:
% 42.51/11.30  																																			| (312)  ~ (leq(n0, n3) = 0)
% 42.51/11.30  																																			|
% 42.51/11.30  																																				| Using (296) and (312) yields:
% 42.51/11.30  																																				| (302) $false
% 42.51/11.30  																																				|
% 42.51/11.30  																																				|-The branch is then unsatisfiable
% 42.51/11.30  																																			|-Branch two:
% 42.51/11.30  																																			| (296) leq(n0, n3) = 0
% 42.51/11.30  																																			| (643) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n6) = v0)
% 42.51/11.30  																																			|
% 42.51/11.30  																																				+-Applying beta-rule and splitting (248), into two cases.
% 42.51/11.30  																																				|-Branch one:
% 42.51/11.30  																																				| (316) all_0_39_39 = 0
% 42.51/11.30  																																				|
% 42.51/11.30  																																					| Equations (316) can reduce 507 to:
% 42.51/11.30  																																					| (420) $false
% 42.51/11.30  																																					|
% 42.51/11.30  																																					|-The branch is then unsatisfiable
% 42.51/11.30  																																				|-Branch two:
% 42.51/11.30  																																				| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.30  																																				| (840)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n2) = v0)
% 42.51/11.30  																																				|
% 42.51/11.30  																																					+-Applying beta-rule and splitting (271), into two cases.
% 42.51/11.30  																																					|-Branch one:
% 42.51/11.30  																																					| (560)  ~ (leq(n0, n2) = 0)
% 42.51/11.30  																																					|
% 42.51/11.30  																																						| Using (297) and (560) yields:
% 42.51/11.30  																																						| (302) $false
% 42.51/11.30  																																						|
% 42.51/11.30  																																						|-The branch is then unsatisfiable
% 42.51/11.30  																																					|-Branch two:
% 42.51/11.30  																																					| (297) leq(n0, n2) = 0
% 42.51/11.30  																																					| (1034) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n3) = v0)
% 42.51/11.30  																																					|
% 42.51/11.30  																																						+-Applying beta-rule and splitting (1034), into two cases.
% 42.51/11.30  																																						|-Branch one:
% 42.51/11.30  																																						| (316) all_0_39_39 = 0
% 42.51/11.30  																																						|
% 42.51/11.30  																																							| Equations (316) can reduce 507 to:
% 42.51/11.30  																																							| (420) $false
% 42.51/11.30  																																							|
% 42.51/11.30  																																							|-The branch is then unsatisfiable
% 42.51/11.30  																																						|-Branch two:
% 42.51/11.30  																																						| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.30  																																						| (1038)  ? [v0] : ( ~ (v0 = 0) & leq(n2, n3) = v0)
% 42.51/11.30  																																						|
% 42.51/11.30  																																							+-Applying beta-rule and splitting (257), into two cases.
% 42.51/11.30  																																							|-Branch one:
% 42.51/11.30  																																							| (312)  ~ (leq(n0, n3) = 0)
% 42.51/11.30  																																							|
% 42.51/11.30  																																								| Using (296) and (312) yields:
% 42.51/11.30  																																								| (302) $false
% 42.51/11.30  																																								|
% 42.51/11.30  																																								|-The branch is then unsatisfiable
% 42.51/11.30  																																							|-Branch two:
% 42.51/11.30  																																							| (296) leq(n0, n3) = 0
% 42.51/11.30  																																							| (974) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n4) = v0)
% 42.51/11.30  																																							|
% 42.51/11.30  																																								+-Applying beta-rule and splitting (276), into two cases.
% 42.51/11.30  																																								|-Branch one:
% 42.51/11.30  																																								| (320)  ~ (leq(n0, n1) = 0)
% 42.51/11.30  																																								|
% 42.51/11.30  																																									| Using (298) and (320) yields:
% 42.51/11.30  																																									| (302) $false
% 42.51/11.30  																																									|
% 42.51/11.30  																																									|-The branch is then unsatisfiable
% 42.51/11.30  																																								|-Branch two:
% 42.51/11.30  																																								| (298) leq(n0, n1) = 0
% 42.51/11.30  																																								| (1046) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n3) = v0)
% 42.51/11.30  																																								|
% 42.51/11.30  																																									+-Applying beta-rule and splitting (1046), into two cases.
% 42.51/11.30  																																									|-Branch one:
% 42.51/11.30  																																									| (316) all_0_39_39 = 0
% 42.51/11.30  																																									|
% 42.51/11.30  																																										| Equations (316) can reduce 507 to:
% 42.51/11.30  																																										| (420) $false
% 42.51/11.30  																																										|
% 42.51/11.30  																																										|-The branch is then unsatisfiable
% 42.51/11.30  																																									|-Branch two:
% 42.51/11.30  																																									| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.30  																																									| (1050)  ? [v0] : ( ~ (v0 = 0) & leq(n1, n3) = v0)
% 42.51/11.30  																																									|
% 42.51/11.30  																																										+-Applying beta-rule and splitting (249), into two cases.
% 42.51/11.30  																																										|-Branch one:
% 42.51/11.30  																																										| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.51/11.30  																																										|
% 42.51/11.30  																																											| Using (217) and (343) yields:
% 42.51/11.30  																																											| (302) $false
% 42.51/11.30  																																											|
% 42.51/11.30  																																											|-The branch is then unsatisfiable
% 42.51/11.30  																																										|-Branch two:
% 42.51/11.30  																																										| (217) leq(n0, all_0_43_43) = 0
% 42.51/11.30  																																										| (1054) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n3) = v0)
% 42.51/11.30  																																										|
% 42.51/11.30  																																											+-Applying beta-rule and splitting (250), into two cases.
% 42.51/11.30  																																											|-Branch one:
% 42.51/11.30  																																											| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.51/11.30  																																											|
% 42.51/11.30  																																												| Using (218) and (329) yields:
% 42.51/11.30  																																												| (302) $false
% 42.51/11.30  																																												|
% 42.51/11.30  																																												|-The branch is then unsatisfiable
% 42.51/11.30  																																											|-Branch two:
% 42.51/11.30  																																											| (218) leq(n0, all_0_44_44) = 0
% 42.51/11.30  																																											| (1058) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n3) = v0)
% 42.51/11.30  																																											|
% 42.51/11.30  																																												+-Applying beta-rule and splitting (251), into two cases.
% 42.51/11.30  																																												|-Branch one:
% 42.51/11.30  																																												| (301)  ~ (leq(n0, n6) = 0)
% 42.51/11.30  																																												|
% 42.51/11.30  																																													| Using (279) and (301) yields:
% 42.51/11.30  																																													| (302) $false
% 42.51/11.30  																																													|
% 42.51/11.30  																																													|-The branch is then unsatisfiable
% 42.51/11.30  																																												|-Branch two:
% 42.51/11.30  																																												| (279) leq(n0, n6) = 0
% 42.51/11.30  																																												| (1062) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n3) = v0)
% 42.51/11.30  																																												|
% 42.51/11.30  																																													+-Applying beta-rule and splitting (252), into two cases.
% 42.51/11.30  																																													|-Branch one:
% 42.51/11.30  																																													| (307)  ~ (leq(n0, n7) = 0)
% 42.51/11.30  																																													|
% 42.51/11.30  																																														| Using (286) and (307) yields:
% 42.51/11.30  																																														| (302) $false
% 42.51/11.30  																																														|
% 42.51/11.30  																																														|-The branch is then unsatisfiable
% 42.51/11.30  																																													|-Branch two:
% 42.51/11.30  																																													| (286) leq(n0, n7) = 0
% 42.51/11.30  																																													| (1066) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n3) = v0)
% 42.51/11.30  																																													|
% 42.51/11.30  																																														+-Applying beta-rule and splitting (253), into two cases.
% 42.51/11.30  																																														|-Branch one:
% 42.51/11.30  																																														| (339)  ~ (leq(n0, n5) = 0)
% 42.51/11.30  																																														|
% 42.51/11.30  																																															| Using (291) and (339) yields:
% 42.51/11.30  																																															| (302) $false
% 42.51/11.30  																																															|
% 42.51/11.30  																																															|-The branch is then unsatisfiable
% 42.51/11.30  																																														|-Branch two:
% 42.51/11.30  																																														| (291) leq(n0, n5) = 0
% 42.51/11.30  																																														| (1070) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n3) = v0)
% 42.51/11.30  																																														|
% 42.51/11.30  																																															+-Applying beta-rule and splitting (254), into two cases.
% 42.51/11.30  																																															|-Branch one:
% 42.51/11.30  																																															| (624)  ~ (leq(n0, n4) = 0)
% 42.51/11.30  																																															|
% 42.51/11.30  																																																| Using (293) and (624) yields:
% 42.51/11.30  																																																| (302) $false
% 42.51/11.30  																																																|
% 42.51/11.30  																																																|-The branch is then unsatisfiable
% 42.51/11.30  																																															|-Branch two:
% 42.51/11.30  																																															| (293) leq(n0, n4) = 0
% 42.51/11.30  																																															| (1074) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n3) = v0)
% 42.51/11.30  																																															|
% 42.51/11.30  																																																+-Applying beta-rule and splitting (1062), into two cases.
% 42.51/11.30  																																																|-Branch one:
% 42.51/11.30  																																																| (316) all_0_39_39 = 0
% 42.51/11.30  																																																|
% 42.51/11.31  																																																	| Equations (316) can reduce 507 to:
% 42.51/11.31  																																																	| (420) $false
% 42.51/11.31  																																																	|
% 42.51/11.31  																																																	|-The branch is then unsatisfiable
% 42.51/11.31  																																																|-Branch two:
% 42.51/11.31  																																																| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.31  																																																| (1078)  ? [v0] : ( ~ (v0 = 0) & leq(n6, n3) = v0)
% 42.51/11.31  																																																|
% 42.51/11.31  																																																	+-Applying beta-rule and splitting (1070), into two cases.
% 42.51/11.31  																																																	|-Branch one:
% 42.51/11.31  																																																	| (316) all_0_39_39 = 0
% 42.51/11.31  																																																	|
% 42.51/11.31  																																																		| Equations (316) can reduce 507 to:
% 42.51/11.31  																																																		| (420) $false
% 42.51/11.31  																																																		|
% 42.51/11.31  																																																		|-The branch is then unsatisfiable
% 42.51/11.31  																																																	|-Branch two:
% 42.51/11.31  																																																	| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.31  																																																	| (1082)  ? [v0] : ( ~ (v0 = 0) & leq(n5, n3) = v0)
% 42.51/11.31  																																																	|
% 42.51/11.31  																																																		+-Applying beta-rule and splitting (1074), into two cases.
% 42.51/11.31  																																																		|-Branch one:
% 42.51/11.31  																																																		| (316) all_0_39_39 = 0
% 42.51/11.31  																																																		|
% 42.51/11.31  																																																			| Equations (316) can reduce 507 to:
% 42.51/11.31  																																																			| (420) $false
% 42.51/11.31  																																																			|
% 42.51/11.31  																																																			|-The branch is then unsatisfiable
% 42.51/11.31  																																																		|-Branch two:
% 42.51/11.31  																																																		| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.31  																																																		| (1086)  ? [v0] : ( ~ (v0 = 0) & leq(n4, n3) = v0)
% 42.51/11.31  																																																		|
% 42.51/11.31  																																																			+-Applying beta-rule and splitting (1054), into two cases.
% 42.51/11.31  																																																			|-Branch one:
% 42.51/11.31  																																																			| (316) all_0_39_39 = 0
% 42.51/11.31  																																																			|
% 42.51/11.31  																																																				| Equations (316) can reduce 507 to:
% 42.51/11.31  																																																				| (420) $false
% 42.51/11.31  																																																				|
% 42.51/11.31  																																																				|-The branch is then unsatisfiable
% 42.51/11.31  																																																			|-Branch two:
% 42.51/11.31  																																																			| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.31  																																																			| (1090)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n3) = v0)
% 42.51/11.31  																																																			|
% 42.51/11.31  																																																				+-Applying beta-rule and splitting (1058), into two cases.
% 42.51/11.31  																																																				|-Branch one:
% 42.51/11.31  																																																				| (316) all_0_39_39 = 0
% 42.51/11.31  																																																				|
% 42.51/11.31  																																																					| Equations (316) can reduce 507 to:
% 42.51/11.31  																																																					| (420) $false
% 42.51/11.31  																																																					|
% 42.51/11.31  																																																					|-The branch is then unsatisfiable
% 42.51/11.31  																																																				|-Branch two:
% 42.51/11.31  																																																				| (507)  ~ (all_0_39_39 = 0)
% 42.51/11.31  																																																				| (1094)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n3) = v0)
% 42.51/11.31  																																																				|
% 42.51/11.31  																																																					+-Applying beta-rule and splitting (1066), into two cases.
% 42.51/11.31  																																																					|-Branch one:
% 42.51/11.31  																																																					| (316) all_0_39_39 = 0
% 42.51/11.31  																																																					|
% 42.51/11.31  																																																						| Equations (316) can reduce 507 to:
% 42.51/11.31  																																																						| (420) $false
% 42.51/11.31  																																																						|
% 42.51/11.31  																																																						|-The branch is then unsatisfiable
% 42.51/11.31  																																																					|-Branch two:
% 42.51/11.31  																																																					| (507)  ~ (all_0_39_39 = 0)
% 42.65/11.31  																																																					| (1098)  ? [v0] : ( ~ (v0 = 0) & leq(n7, n3) = v0)
% 42.65/11.31  																																																					|
% 42.65/11.31  																																																						| Instantiating formula (10) with n0, n3, all_73_0_159, all_0_39_39 and discharging atoms leq(n0, n3) = all_73_0_159, leq(n0, n3) = all_0_39_39, yields:
% 42.65/11.31  																																																						| (1099) all_73_0_159 = all_0_39_39
% 42.65/11.31  																																																						|
% 42.65/11.31  																																																						| Instantiating formula (10) with n0, n3, all_73_0_159, 0 and discharging atoms leq(n0, n3) = all_73_0_159, leq(n0, n3) = 0, yields:
% 42.65/11.31  																																																						| (1100) all_73_0_159 = 0
% 42.65/11.31  																																																						|
% 42.65/11.31  																																																						| Combining equations (1099,1100) yields a new equation:
% 42.65/11.31  																																																						| (1101) all_0_39_39 = 0
% 42.65/11.31  																																																						|
% 42.65/11.31  																																																						| Simplifying 1101 yields:
% 42.65/11.31  																																																						| (316) all_0_39_39 = 0
% 42.65/11.31  																																																						|
% 42.65/11.31  																																																						| Equations (316) can reduce 507 to:
% 42.65/11.31  																																																						| (420) $false
% 42.65/11.31  																																																						|
% 42.65/11.31  																																																						|-The branch is then unsatisfiable
% 42.65/11.31  																											|-Branch two:
% 42.65/11.31  																											| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.31  																											| (1105)  ? [v0] : ( ~ (v0 = 0) & leq(tptp_minus_1, n1) = v0)
% 42.65/11.31  																											|
% 42.65/11.31  																												+-Applying beta-rule and splitting (277), into two cases.
% 42.65/11.31  																												|-Branch one:
% 42.65/11.31  																												| (320)  ~ (leq(n0, n1) = 0)
% 42.65/11.31  																												|
% 42.65/11.31  																													| Using (298) and (320) yields:
% 42.65/11.31  																													| (302) $false
% 42.65/11.31  																													|
% 42.65/11.31  																													|-The branch is then unsatisfiable
% 42.65/11.31  																												|-Branch two:
% 42.65/11.31  																												| (298) leq(n0, n1) = 0
% 42.65/11.31  																												| (1109) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n1, n2) = v0)
% 42.65/11.31  																												|
% 42.65/11.31  																													+-Applying beta-rule and splitting (249), into two cases.
% 42.65/11.31  																													|-Branch one:
% 42.65/11.31  																													| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.65/11.31  																													|
% 42.65/11.31  																														| Using (217) and (343) yields:
% 42.65/11.31  																														| (302) $false
% 42.65/11.31  																														|
% 42.65/11.31  																														|-The branch is then unsatisfiable
% 42.65/11.31  																													|-Branch two:
% 42.65/11.31  																													| (217) leq(n0, all_0_43_43) = 0
% 42.65/11.31  																													| (1054) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n3) = v0)
% 42.65/11.31  																													|
% 42.65/11.31  																														+-Applying beta-rule and splitting (250), into two cases.
% 42.65/11.31  																														|-Branch one:
% 42.65/11.31  																														| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.65/11.31  																														|
% 42.65/11.31  																															| Using (218) and (329) yields:
% 42.65/11.31  																															| (302) $false
% 42.65/11.31  																															|
% 42.65/11.31  																															|-The branch is then unsatisfiable
% 42.65/11.31  																														|-Branch two:
% 42.65/11.31  																														| (218) leq(n0, all_0_44_44) = 0
% 42.65/11.31  																														| (1058) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n3) = v0)
% 42.65/11.31  																														|
% 42.65/11.31  																															+-Applying beta-rule and splitting (251), into two cases.
% 42.65/11.31  																															|-Branch one:
% 42.65/11.31  																															| (301)  ~ (leq(n0, n6) = 0)
% 42.65/11.31  																															|
% 42.65/11.31  																																| Using (279) and (301) yields:
% 42.65/11.31  																																| (302) $false
% 42.65/11.31  																																|
% 42.65/11.31  																																|-The branch is then unsatisfiable
% 42.65/11.31  																															|-Branch two:
% 42.65/11.31  																															| (279) leq(n0, n6) = 0
% 42.65/11.31  																															| (1062) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n3) = v0)
% 42.65/11.31  																															|
% 42.65/11.31  																																+-Applying beta-rule and splitting (252), into two cases.
% 42.65/11.31  																																|-Branch one:
% 42.65/11.31  																																| (307)  ~ (leq(n0, n7) = 0)
% 42.65/11.31  																																|
% 42.65/11.31  																																	| Using (286) and (307) yields:
% 42.65/11.31  																																	| (302) $false
% 42.65/11.31  																																	|
% 42.65/11.31  																																	|-The branch is then unsatisfiable
% 42.65/11.31  																																|-Branch two:
% 42.65/11.31  																																| (286) leq(n0, n7) = 0
% 42.65/11.31  																																| (1066) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n3) = v0)
% 42.65/11.31  																																|
% 42.65/11.31  																																	+-Applying beta-rule and splitting (253), into two cases.
% 42.65/11.31  																																	|-Branch one:
% 42.65/11.31  																																	| (339)  ~ (leq(n0, n5) = 0)
% 42.65/11.31  																																	|
% 42.65/11.31  																																		| Using (291) and (339) yields:
% 42.65/11.31  																																		| (302) $false
% 42.65/11.31  																																		|
% 42.65/11.31  																																		|-The branch is then unsatisfiable
% 42.65/11.31  																																	|-Branch two:
% 42.65/11.31  																																	| (291) leq(n0, n5) = 0
% 42.65/11.31  																																	| (1070) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n3) = v0)
% 42.65/11.31  																																	|
% 42.65/11.31  																																		+-Applying beta-rule and splitting (254), into two cases.
% 42.65/11.31  																																		|-Branch one:
% 42.65/11.31  																																		| (624)  ~ (leq(n0, n4) = 0)
% 42.65/11.31  																																		|
% 42.65/11.31  																																			| Using (293) and (624) yields:
% 42.65/11.31  																																			| (302) $false
% 42.65/11.31  																																			|
% 42.65/11.31  																																			|-The branch is then unsatisfiable
% 42.65/11.31  																																		|-Branch two:
% 42.65/11.31  																																		| (293) leq(n0, n4) = 0
% 42.65/11.31  																																		| (1074) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n3) = v0)
% 42.65/11.31  																																		|
% 42.65/11.31  																																			+-Applying beta-rule and splitting (246), into two cases.
% 42.65/11.31  																																			|-Branch one:
% 42.65/11.31  																																			| (624)  ~ (leq(n0, n4) = 0)
% 42.65/11.31  																																			|
% 42.65/11.31  																																				| Using (293) and (624) yields:
% 42.65/11.31  																																				| (302) $false
% 42.65/11.31  																																				|
% 42.65/11.31  																																				|-The branch is then unsatisfiable
% 42.65/11.31  																																			|-Branch two:
% 42.65/11.31  																																			| (293) leq(n0, n4) = 0
% 42.65/11.31  																																			| (627) n4 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n0) = v0)
% 42.65/11.31  																																			|
% 42.65/11.31  																																				+-Applying beta-rule and splitting (244), into two cases.
% 42.65/11.31  																																				|-Branch one:
% 42.65/11.31  																																				| (624)  ~ (leq(n0, n4) = 0)
% 42.65/11.31  																																				|
% 42.65/11.31  																																					| Using (293) and (624) yields:
% 42.65/11.31  																																					| (302) $false
% 42.65/11.31  																																					|
% 42.65/11.31  																																					|-The branch is then unsatisfiable
% 42.65/11.31  																																				|-Branch two:
% 42.65/11.31  																																				| (293) leq(n0, n4) = 0
% 42.65/11.31  																																				| (647) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n6) = v0)
% 42.65/11.31  																																				|
% 42.65/11.31  																																					+-Applying beta-rule and splitting (258), into two cases.
% 42.65/11.31  																																					|-Branch one:
% 42.65/11.31  																																					| (312)  ~ (leq(n0, n3) = 0)
% 42.65/11.31  																																					|
% 42.65/11.31  																																						| Using (296) and (312) yields:
% 42.65/11.31  																																						| (302) $false
% 42.65/11.31  																																						|
% 42.65/11.31  																																						|-The branch is then unsatisfiable
% 42.65/11.31  																																					|-Branch two:
% 42.65/11.31  																																					| (296) leq(n0, n3) = 0
% 42.65/11.31  																																					| (1022) n3 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n0) = v0)
% 42.65/11.31  																																					|
% 42.65/11.31  																																						+-Applying beta-rule and splitting (260), into two cases.
% 42.65/11.31  																																						|-Branch one:
% 42.65/11.31  																																						| (328) all_0_40_40 = 0
% 42.65/11.32  																																						|
% 42.65/11.32  																																							| Equations (328) can reduce 511 to:
% 42.65/11.32  																																							| (420) $false
% 42.65/11.32  																																							|
% 42.65/11.32  																																							|-The branch is then unsatisfiable
% 42.65/11.32  																																						|-Branch two:
% 42.65/11.32  																																						| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																						| (558)  ? [v0] : ( ~ (v0 = 0) & leq(n0, n1) = v0)
% 42.65/11.32  																																						|
% 42.65/11.32  																																							+-Applying beta-rule and splitting (256), into two cases.
% 42.65/11.32  																																							|-Branch one:
% 42.65/11.32  																																							| (312)  ~ (leq(n0, n3) = 0)
% 42.65/11.32  																																							|
% 42.65/11.32  																																								| Using (296) and (312) yields:
% 42.65/11.32  																																								| (302) $false
% 42.65/11.32  																																								|
% 42.65/11.32  																																								|-The branch is then unsatisfiable
% 42.65/11.32  																																							|-Branch two:
% 42.65/11.32  																																							| (296) leq(n0, n3) = 0
% 42.65/11.32  																																							| (808) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n5) = v0)
% 42.65/11.32  																																							|
% 42.65/11.32  																																								+-Applying beta-rule and splitting (255), into two cases.
% 42.65/11.32  																																								|-Branch one:
% 42.65/11.32  																																								| (312)  ~ (leq(n0, n3) = 0)
% 42.65/11.32  																																								|
% 42.65/11.32  																																									| Using (296) and (312) yields:
% 42.65/11.32  																																									| (302) $false
% 42.65/11.32  																																									|
% 42.65/11.32  																																									|-The branch is then unsatisfiable
% 42.65/11.32  																																								|-Branch two:
% 42.65/11.32  																																								| (296) leq(n0, n3) = 0
% 42.65/11.32  																																								| (643) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n6) = v0)
% 42.65/11.32  																																								|
% 42.65/11.32  																																									+-Applying beta-rule and splitting (270), into two cases.
% 42.65/11.32  																																									|-Branch one:
% 42.65/11.32  																																									| (560)  ~ (leq(n0, n2) = 0)
% 42.65/11.32  																																									|
% 42.65/11.32  																																										| Using (297) and (560) yields:
% 42.65/11.32  																																										| (302) $false
% 42.65/11.32  																																										|
% 42.65/11.32  																																										|-The branch is then unsatisfiable
% 42.65/11.32  																																									|-Branch two:
% 42.65/11.32  																																									| (297) leq(n0, n2) = 0
% 42.65/11.32  																																									| (970) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n4) = v0)
% 42.65/11.32  																																									|
% 42.65/11.32  																																										+-Applying beta-rule and splitting (272), into two cases.
% 42.65/11.32  																																										|-Branch one:
% 42.65/11.32  																																										| (560)  ~ (leq(n0, n2) = 0)
% 42.65/11.32  																																										|
% 42.65/11.32  																																											| Using (297) and (560) yields:
% 42.65/11.32  																																											| (302) $false
% 42.65/11.32  																																											|
% 42.65/11.32  																																											|-The branch is then unsatisfiable
% 42.65/11.32  																																										|-Branch two:
% 42.65/11.32  																																										| (297) leq(n0, n2) = 0
% 42.65/11.32  																																										| (796) n2 = n0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n0) = v0)
% 42.65/11.32  																																										|
% 42.65/11.32  																																											+-Applying beta-rule and splitting (257), into two cases.
% 42.65/11.32  																																											|-Branch one:
% 42.65/11.32  																																											| (312)  ~ (leq(n0, n3) = 0)
% 42.65/11.32  																																											|
% 42.65/11.32  																																												| Using (296) and (312) yields:
% 42.65/11.32  																																												| (302) $false
% 42.65/11.32  																																												|
% 42.65/11.32  																																												|-The branch is then unsatisfiable
% 42.65/11.32  																																											|-Branch two:
% 42.65/11.32  																																											| (296) leq(n0, n3) = 0
% 42.65/11.32  																																											| (974) all_0_38_38 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n4) = v0)
% 42.65/11.32  																																											|
% 42.65/11.32  																																												+-Applying beta-rule and splitting (265), into two cases.
% 42.65/11.32  																																												|-Branch one:
% 42.65/11.32  																																												| (339)  ~ (leq(n0, n5) = 0)
% 42.65/11.32  																																												|
% 42.65/11.32  																																													| Using (291) and (339) yields:
% 42.65/11.32  																																													| (302) $false
% 42.65/11.32  																																													|
% 42.65/11.32  																																													|-The branch is then unsatisfiable
% 42.65/11.32  																																												|-Branch two:
% 42.65/11.32  																																												| (291) leq(n0, n5) = 0
% 42.65/11.32  																																												| (1173) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n5, n2) = v0)
% 42.65/11.32  																																												|
% 42.65/11.32  																																													+-Applying beta-rule and splitting (266), into two cases.
% 42.65/11.32  																																													|-Branch one:
% 42.65/11.32  																																													| (624)  ~ (leq(n0, n4) = 0)
% 42.65/11.32  																																													|
% 42.65/11.32  																																														| Using (293) and (624) yields:
% 42.65/11.32  																																														| (302) $false
% 42.65/11.32  																																														|
% 42.65/11.32  																																														|-The branch is then unsatisfiable
% 42.65/11.32  																																													|-Branch two:
% 42.65/11.32  																																													| (293) leq(n0, n4) = 0
% 42.65/11.32  																																													| (1177) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n4, n2) = v0)
% 42.65/11.32  																																													|
% 42.65/11.32  																																														+-Applying beta-rule and splitting (267), into two cases.
% 42.65/11.32  																																														|-Branch one:
% 42.65/11.32  																																														| (312)  ~ (leq(n0, n3) = 0)
% 42.65/11.32  																																														|
% 42.65/11.32  																																															| Using (296) and (312) yields:
% 42.65/11.32  																																															| (302) $false
% 42.65/11.32  																																															|
% 42.65/11.32  																																															|-The branch is then unsatisfiable
% 42.65/11.32  																																														|-Branch two:
% 42.65/11.32  																																														| (296) leq(n0, n3) = 0
% 42.65/11.32  																																														| (1181) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n3, n2) = v0)
% 42.65/11.32  																																														|
% 42.65/11.32  																																															+-Applying beta-rule and splitting (261), into two cases.
% 42.65/11.32  																																															|-Branch one:
% 42.65/11.32  																																															| (343)  ~ (leq(n0, all_0_43_43) = 0)
% 42.65/11.32  																																															|
% 42.65/11.32  																																																| Using (217) and (343) yields:
% 42.65/11.32  																																																| (302) $false
% 42.65/11.32  																																																|
% 42.65/11.32  																																																|-The branch is then unsatisfiable
% 42.65/11.32  																																															|-Branch two:
% 42.65/11.32  																																															| (217) leq(n0, all_0_43_43) = 0
% 42.65/11.32  																																															| (1185) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n2) = v0)
% 42.65/11.32  																																															|
% 42.65/11.32  																																																+-Applying beta-rule and splitting (262), into two cases.
% 42.65/11.32  																																																|-Branch one:
% 42.65/11.32  																																																| (329)  ~ (leq(n0, all_0_44_44) = 0)
% 42.65/11.32  																																																|
% 42.65/11.32  																																																	| Using (218) and (329) yields:
% 42.65/11.32  																																																	| (302) $false
% 42.65/11.32  																																																	|
% 42.65/11.32  																																																	|-The branch is then unsatisfiable
% 42.65/11.32  																																																|-Branch two:
% 42.65/11.32  																																																| (218) leq(n0, all_0_44_44) = 0
% 42.65/11.32  																																																| (1189) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n2) = v0)
% 42.65/11.32  																																																|
% 42.65/11.32  																																																	+-Applying beta-rule and splitting (263), into two cases.
% 42.65/11.32  																																																	|-Branch one:
% 42.65/11.32  																																																	| (301)  ~ (leq(n0, n6) = 0)
% 42.65/11.32  																																																	|
% 42.65/11.32  																																																		| Using (279) and (301) yields:
% 42.65/11.32  																																																		| (302) $false
% 42.65/11.32  																																																		|
% 42.65/11.32  																																																		|-The branch is then unsatisfiable
% 42.65/11.32  																																																	|-Branch two:
% 42.65/11.32  																																																	| (279) leq(n0, n6) = 0
% 42.65/11.32  																																																	| (1193) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n6, n2) = v0)
% 42.65/11.32  																																																	|
% 42.65/11.32  																																																		+-Applying beta-rule and splitting (264), into two cases.
% 42.65/11.32  																																																		|-Branch one:
% 42.65/11.32  																																																		| (307)  ~ (leq(n0, n7) = 0)
% 42.65/11.32  																																																		|
% 42.65/11.32  																																																			| Using (286) and (307) yields:
% 42.65/11.32  																																																			| (302) $false
% 42.65/11.32  																																																			|
% 42.65/11.32  																																																			|-The branch is then unsatisfiable
% 42.65/11.32  																																																		|-Branch two:
% 42.65/11.32  																																																		| (286) leq(n0, n7) = 0
% 42.65/11.32  																																																		| (1197) all_0_40_40 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n7, n2) = v0)
% 42.65/11.32  																																																		|
% 42.65/11.32  																																																			+-Applying beta-rule and splitting (269), into two cases.
% 42.65/11.32  																																																			|-Branch one:
% 42.65/11.32  																																																			| (560)  ~ (leq(n0, n2) = 0)
% 42.65/11.32  																																																			|
% 42.65/11.32  																																																				| Using (297) and (560) yields:
% 42.65/11.32  																																																				| (302) $false
% 42.65/11.32  																																																				|
% 42.65/11.32  																																																				|-The branch is then unsatisfiable
% 42.65/11.32  																																																			|-Branch two:
% 42.65/11.32  																																																			| (297) leq(n0, n2) = 0
% 42.65/11.32  																																																			| (828) all_0_37_37 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n5) = v0)
% 42.65/11.32  																																																			|
% 42.65/11.32  																																																				+-Applying beta-rule and splitting (1193), into two cases.
% 42.65/11.32  																																																				|-Branch one:
% 42.65/11.32  																																																				| (328) all_0_40_40 = 0
% 42.65/11.32  																																																				|
% 42.65/11.32  																																																					| Equations (328) can reduce 511 to:
% 42.65/11.32  																																																					| (420) $false
% 42.65/11.32  																																																					|
% 42.65/11.32  																																																					|-The branch is then unsatisfiable
% 42.65/11.32  																																																				|-Branch two:
% 42.65/11.32  																																																				| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																																				| (1205)  ? [v0] : ( ~ (v0 = 0) & leq(n6, n2) = v0)
% 42.65/11.32  																																																				|
% 42.65/11.32  																																																					+-Applying beta-rule and splitting (1197), into two cases.
% 42.65/11.32  																																																					|-Branch one:
% 42.65/11.32  																																																					| (328) all_0_40_40 = 0
% 42.65/11.32  																																																					|
% 42.65/11.32  																																																						| Equations (328) can reduce 511 to:
% 42.65/11.32  																																																						| (420) $false
% 42.65/11.32  																																																						|
% 42.65/11.32  																																																						|-The branch is then unsatisfiable
% 42.65/11.32  																																																					|-Branch two:
% 42.65/11.32  																																																					| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																																					| (1209)  ? [v0] : ( ~ (v0 = 0) & leq(n7, n2) = v0)
% 42.65/11.32  																																																					|
% 42.65/11.32  																																																						+-Applying beta-rule and splitting (1109), into two cases.
% 42.65/11.32  																																																						|-Branch one:
% 42.65/11.32  																																																						| (328) all_0_40_40 = 0
% 42.65/11.32  																																																						|
% 42.65/11.32  																																																							| Equations (328) can reduce 511 to:
% 42.65/11.32  																																																							| (420) $false
% 42.65/11.32  																																																							|
% 42.65/11.32  																																																							|-The branch is then unsatisfiable
% 42.65/11.32  																																																						|-Branch two:
% 42.65/11.32  																																																						| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																																						| (1213)  ? [v0] : ( ~ (v0 = 0) & leq(n1, n2) = v0)
% 42.65/11.32  																																																						|
% 42.65/11.32  																																																							+-Applying beta-rule and splitting (268), into two cases.
% 42.65/11.32  																																																							|-Branch one:
% 42.65/11.32  																																																							| (560)  ~ (leq(n0, n2) = 0)
% 42.65/11.32  																																																							|
% 42.65/11.32  																																																								| Using (297) and (560) yields:
% 42.65/11.32  																																																								| (302) $false
% 42.65/11.32  																																																								|
% 42.65/11.32  																																																								|-The branch is then unsatisfiable
% 42.65/11.32  																																																							|-Branch two:
% 42.65/11.32  																																																							| (297) leq(n0, n2) = 0
% 42.65/11.32  																																																							| (615) all_0_36_36 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n6) = v0)
% 42.65/11.32  																																																							|
% 42.65/11.32  																																																								+-Applying beta-rule and splitting (271), into two cases.
% 42.65/11.32  																																																								|-Branch one:
% 42.65/11.32  																																																								| (560)  ~ (leq(n0, n2) = 0)
% 42.65/11.32  																																																								|
% 42.65/11.32  																																																									| Using (297) and (560) yields:
% 42.65/11.32  																																																									| (302) $false
% 42.65/11.32  																																																									|
% 42.65/11.32  																																																									|-The branch is then unsatisfiable
% 42.65/11.32  																																																								|-Branch two:
% 42.65/11.32  																																																								| (297) leq(n0, n2) = 0
% 42.65/11.32  																																																								| (1034) all_0_39_39 = 0 |  ? [v0] : ( ~ (v0 = 0) & leq(n2, n3) = v0)
% 42.65/11.32  																																																								|
% 42.65/11.32  																																																									+-Applying beta-rule and splitting (1173), into two cases.
% 42.65/11.32  																																																									|-Branch one:
% 42.65/11.32  																																																									| (328) all_0_40_40 = 0
% 42.65/11.32  																																																									|
% 42.65/11.32  																																																										| Equations (328) can reduce 511 to:
% 42.65/11.32  																																																										| (420) $false
% 42.65/11.32  																																																										|
% 42.65/11.32  																																																										|-The branch is then unsatisfiable
% 42.65/11.32  																																																									|-Branch two:
% 42.65/11.32  																																																									| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																																									| (1225)  ? [v0] : ( ~ (v0 = 0) & leq(n5, n2) = v0)
% 42.65/11.32  																																																									|
% 42.65/11.32  																																																										+-Applying beta-rule and splitting (1177), into two cases.
% 42.65/11.32  																																																										|-Branch one:
% 42.65/11.32  																																																										| (328) all_0_40_40 = 0
% 42.65/11.32  																																																										|
% 42.65/11.32  																																																											| Equations (328) can reduce 511 to:
% 42.65/11.32  																																																											| (420) $false
% 42.65/11.32  																																																											|
% 42.65/11.32  																																																											|-The branch is then unsatisfiable
% 42.65/11.32  																																																										|-Branch two:
% 42.65/11.32  																																																										| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																																										| (1229)  ? [v0] : ( ~ (v0 = 0) & leq(n4, n2) = v0)
% 42.65/11.32  																																																										|
% 42.65/11.32  																																																											+-Applying beta-rule and splitting (1181), into two cases.
% 42.65/11.32  																																																											|-Branch one:
% 42.65/11.32  																																																											| (328) all_0_40_40 = 0
% 42.65/11.32  																																																											|
% 42.65/11.32  																																																												| Equations (328) can reduce 511 to:
% 42.65/11.32  																																																												| (420) $false
% 42.65/11.32  																																																												|
% 42.65/11.32  																																																												|-The branch is then unsatisfiable
% 42.65/11.32  																																																											|-Branch two:
% 42.65/11.32  																																																											| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.32  																																																											| (1233)  ? [v0] : ( ~ (v0 = 0) & leq(n3, n2) = v0)
% 42.65/11.32  																																																											|
% 42.65/11.32  																																																												+-Applying beta-rule and splitting (1185), into two cases.
% 42.65/11.32  																																																												|-Branch one:
% 42.65/11.32  																																																												| (328) all_0_40_40 = 0
% 42.65/11.32  																																																												|
% 42.65/11.33  																																																													| Equations (328) can reduce 511 to:
% 42.65/11.33  																																																													| (420) $false
% 42.65/11.33  																																																													|
% 42.65/11.33  																																																													|-The branch is then unsatisfiable
% 42.65/11.33  																																																												|-Branch two:
% 42.65/11.33  																																																												| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.33  																																																												| (1237)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_43_43, n2) = v0)
% 42.65/11.33  																																																												|
% 42.65/11.33  																																																													+-Applying beta-rule and splitting (1189), into two cases.
% 42.65/11.33  																																																													|-Branch one:
% 42.65/11.33  																																																													| (328) all_0_40_40 = 0
% 42.65/11.33  																																																													|
% 42.65/11.33  																																																														| Equations (328) can reduce 511 to:
% 42.65/11.33  																																																														| (420) $false
% 42.65/11.33  																																																														|
% 42.65/11.33  																																																														|-The branch is then unsatisfiable
% 42.65/11.33  																																																													|-Branch two:
% 42.65/11.33  																																																													| (511)  ~ (all_0_40_40 = 0)
% 42.65/11.33  																																																													| (1241)  ? [v0] : ( ~ (v0 = 0) & leq(all_0_44_44, n2) = v0)
% 42.65/11.33  																																																													|
% 42.65/11.33  																																																														| Instantiating formula (10) with n0, n2, 0, all_0_40_40 and discharging atoms leq(n0, n2) = all_0_40_40, leq(n0, n2) = 0, yields:
% 42.65/11.33  																																																														| (328) all_0_40_40 = 0
% 42.65/11.33  																																																														|
% 42.65/11.33  																																																														| Equations (328) can reduce 511 to:
% 42.65/11.33  																																																														| (420) $false
% 42.65/11.33  																																																														|
% 42.65/11.33  																																																														|-The branch is then unsatisfiable
% 42.74/11.33  % SZS output end Proof for theBenchmark
% 42.74/11.33  
% 42.74/11.33  10718ms
%------------------------------------------------------------------------------